TSTP Solution File: LAT337+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:24:47 EDT 2022
% Result : Theorem 3.66s 3.88s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
input ).
fof(t6_boole_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| A = k1_xboole_0 ),
inference(orientation,[status(thm)],[t6_boole]) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
input ).
fof(t4_subset_0,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(orientation,[status(thm)],[t4_subset]) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
input ).
fof(t3_subset_0,plain,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t3_subset_1,plain,
! [A,B] :
( ~ m1_subset_1(A,k1_zfmisc_1(B))
| r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
input ).
fof(t2_subset_0,plain,
! [A,B] :
( ~ m1_subset_1(A,B)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(orientation,[status(thm)],[t2_subset]) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
input ).
fof(t1_subset_0,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| m1_subset_1(A,B) ),
inference(orientation,[status(thm)],[t1_subset]) ).
fof(reflexivity_r3_lattices,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& v6_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) )
=> r3_lattices(A,B,B) ),
input ).
fof(reflexivity_r3_lattices_0,plain,
! [A,B,C] :
( r3_lattices(A,B,B)
| ~ ( ~ v3_struct_0(A)
& v6_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[reflexivity_r3_lattices]) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
input ).
fof(reflexivity_r1_tarski_0,plain,
! [A] :
( r1_tarski(A,A)
| $false ),
inference(orientation,[status(thm)],[reflexivity_r1_tarski]) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
input ).
fof(redefinition_m2_relset_1_0,plain,
! [A,B,C] :
( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(redefinition_m2_relset_1_1,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
input ).
fof(rc1_subset_1_0,plain,
! [A] :
( v1_xboole_0(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
inference(orientation,[status(thm)],[rc1_subset_1]) ).
fof(fc4_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B) )
=> ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
input ).
fof(fc4_subset_1_0,plain,
! [A,B] :
( ~ v1_xboole_0(k2_zfmisc_1(A,B))
| ~ ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B) ) ),
inference(orientation,[status(thm)],[fc4_subset_1]) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
input ).
fof(fc1_xboole_0_0,plain,
( v1_xboole_0(k1_xboole_0)
| $false ),
inference(orientation,[status(thm)],[fc1_xboole_0]) ).
fof(fc1_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
input ).
fof(fc1_subset_1_0,plain,
! [A] :
( ~ v1_xboole_0(k1_zfmisc_1(A))
| $false ),
inference(orientation,[status(thm)],[fc1_subset_1]) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
input ).
fof(fc1_struct_0_0,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(orientation,[status(thm)],[fc1_struct_0]) ).
fof(dt_u2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
input ).
fof(dt_u2_lattices_0,plain,
! [A] :
( ~ l2_lattices(A)
| ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[dt_u2_lattices]) ).
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_u1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
input ).
fof(dt_u1_lattices_0,plain,
! [A] :
( ~ l1_lattices(A)
| ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[dt_u1_lattices]) ).
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))) ),
input ).
fof(dt_m2_relset_1_0,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(orientation,[status(thm)],[dt_m2_relset_1]) ).
fof(dt_m1_subset_1,axiom,
$true,
input ).
fof(dt_m1_subset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_subset_1]) ).
fof(dt_m1_relset_1,axiom,
$true,
input ).
fof(dt_m1_relset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_relset_1]) ).
fof(dt_l3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
input ).
fof(dt_l3_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(orientation,[status(thm)],[dt_l3_lattices]) ).
fof(dt_l2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l2_lattices_0,plain,
! [A] :
( ~ l2_lattices(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l2_lattices]) ).
fof(dt_l1_struct_0,axiom,
$true,
input ).
fof(dt_l1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_l1_struct_0]) ).
fof(dt_l1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l1_lattices_0,plain,
! [A] :
( ~ l1_lattices(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l1_lattices]) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
input ).
fof(dt_k2_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k2_zfmisc_1]) ).
fof(dt_k23_filter_2,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v1_xboole_0(B)
& m2_lattice4(B,A) )
=> m2_nat_lat(k23_filter_2(A,B),A) ),
input ).
fof(dt_k23_filter_2_0,plain,
! [A,B] :
( m2_nat_lat(k23_filter_2(A,B),A)
| ~ ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ),
inference(orientation,[status(thm)],[dt_k23_filter_2]) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
input ).
fof(dt_k1_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(dt_k1_xboole_0,axiom,
$true,
input ).
fof(dt_k1_xboole_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k1_xboole_0]) ).
fof(cc7_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& v10_lattices(A)
& v12_lattices(A) ) ) ),
input ).
fof(cc7_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& v10_lattices(A)
& v12_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc7_lattices]) ).
fof(cc6_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v11_lattices(A)
& v15_lattices(A)
& v16_lattices(A) )
=> ( ~ v3_struct_0(A)
& v17_lattices(A) ) ) ),
input ).
fof(cc6_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v11_lattices(A)
& v15_lattices(A)
& v16_lattices(A) )
=> ( ~ v3_struct_0(A)
& v17_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc6_lattices]) ).
fof(cc5_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v17_lattices(A) )
=> ( ~ v3_struct_0(A)
& v11_lattices(A)
& v13_lattices(A)
& v14_lattices(A)
& v15_lattices(A)
& v16_lattices(A) ) ) ),
input ).
fof(cc5_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v17_lattices(A) )
=> ( ~ v3_struct_0(A)
& v11_lattices(A)
& v13_lattices(A)
& v14_lattices(A)
& v15_lattices(A)
& v16_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc5_lattices]) ).
fof(cc4_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
input ).
fof(cc4_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc4_lattices]) ).
fof(cc3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) )
=> ( ~ v3_struct_0(A)
& v15_lattices(A) ) ) ),
input ).
fof(cc3_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) )
=> ( ~ v3_struct_0(A)
& v15_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc3_lattices]) ).
fof(cc2_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
input ).
fof(cc2_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc2_lattices]) ).
fof(cc1_relset_1,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
input ).
fof(cc1_relset_1_0,plain,
! [A,B,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| v1_relat_1(C) ),
inference(orientation,[status(thm)],[cc1_relset_1]) ).
fof(cc1_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
input ).
fof(cc1_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc1_lattices]) ).
fof(cc1_funct_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
input ).
fof(cc1_funct_1_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| v1_funct_1(A) ),
inference(orientation,[status(thm)],[cc1_funct_1]) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
input ).
fof(antisymmetry_r2_hidden_0,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| ~ r2_hidden(B,A) ),
inference(orientation,[status(thm)],[antisymmetry_r2_hidden]) ).
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)) ) ),
input ).
fof(abstractness_v3_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
inference(orientation,[status(thm)],[abstractness_v3_lattices]) ).
fof(def_lhs_atom1,axiom,
! [A] :
( lhs_atom1(A)
<=> ~ l3_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A] :
( lhs_atom1(A)
| ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
inference(fold_definition,[status(thm)],[abstractness_v3_lattices_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [B,A] :
( lhs_atom2(B,A)
<=> ~ r2_hidden(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [A,B] :
( lhs_atom2(B,A)
| ~ r2_hidden(B,A) ),
inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> ~ v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom3(A)
| v1_funct_1(A) ),
inference(fold_definition,[status(thm)],[cc1_funct_1_0,def_lhs_atom3]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc1_lattices_0,def_lhs_atom1]) ).
fof(def_lhs_atom4,axiom,
! [C,B,A] :
( lhs_atom4(C,B,A)
<=> ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [A,B,C] :
( lhs_atom4(C,B,A)
| v1_relat_1(C) ),
inference(fold_definition,[status(thm)],[cc1_relset_1_0,def_lhs_atom4]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc2_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_6,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) )
=> ( ~ v3_struct_0(A)
& v15_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc3_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_7,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc4_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_8,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v17_lattices(A) )
=> ( ~ v3_struct_0(A)
& v11_lattices(A)
& v13_lattices(A)
& v14_lattices(A)
& v15_lattices(A)
& v16_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc5_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_9,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v11_lattices(A)
& v15_lattices(A)
& v16_lattices(A) )
=> ( ~ v3_struct_0(A)
& v17_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc6_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_10,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A)
& v11_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& v10_lattices(A)
& v12_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc7_lattices_0,def_lhs_atom1]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom5]) ).
fof(to_be_clausified_12,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [B,A] :
( lhs_atom6(B,A)
<=> m2_nat_lat(k23_filter_2(A,B),A) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [A,B] :
( lhs_atom6(B,A)
| ~ ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ),
inference(fold_definition,[status(thm)],[dt_k23_filter_2_0,def_lhs_atom6]) ).
fof(to_be_clausified_14,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_zfmisc_1_0,def_lhs_atom5]) ).
fof(def_lhs_atom7,axiom,
! [A] :
( lhs_atom7(A)
<=> ~ l1_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [A] :
( lhs_atom7(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l1_lattices_0,def_lhs_atom7]) ).
fof(to_be_clausified_16,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom8,axiom,
! [A] :
( lhs_atom8(A)
<=> ~ l2_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [A] :
( lhs_atom8(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l2_lattices_0,def_lhs_atom8]) ).
fof(to_be_clausified_18,plain,
! [A] :
( lhs_atom1(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(fold_definition,[status(thm)],[dt_l3_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_19,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_relset_1_0,def_lhs_atom5]) ).
fof(to_be_clausified_20,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom5]) ).
fof(def_lhs_atom9,axiom,
! [C,B,A] :
( lhs_atom9(C,B,A)
<=> ~ m2_relset_1(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [A,B,C] :
( lhs_atom9(C,B,A)
| m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(fold_definition,[status(thm)],[dt_m2_relset_1_0,def_lhs_atom9]) ).
fof(to_be_clausified_22,plain,
! [A] :
( lhs_atom7(A)
| ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[dt_u1_lattices_0,def_lhs_atom7]) ).
fof(to_be_clausified_23,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom5]) ).
fof(to_be_clausified_24,plain,
! [A] :
( lhs_atom8(A)
| ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[dt_u2_lattices_0,def_lhs_atom8]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> ~ v1_xboole_0(u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [A] :
( lhs_atom10(A)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(fold_definition,[status(thm)],[fc1_struct_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> ~ v1_xboole_0(k1_zfmisc_1(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [A] :
( lhs_atom11(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
( lhs_atom12
<=> v1_xboole_0(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [B,A] :
( lhs_atom13(B,A)
<=> ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [A,B] :
( lhs_atom13(B,A)
| ~ ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B) ) ),
inference(fold_definition,[status(thm)],[fc4_subset_1_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [A] :
( lhs_atom14(A)
<=> v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [A] :
( lhs_atom14(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
inference(fold_definition,[status(thm)],[rc1_subset_1_0,def_lhs_atom14]) ).
fof(to_be_clausified_30,plain,
! [A,B,C] :
( lhs_atom9(C,B,A)
| m1_relset_1(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_1,def_lhs_atom9]) ).
fof(def_lhs_atom15,axiom,
! [C,B,A] :
( lhs_atom15(C,B,A)
<=> m2_relset_1(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [A,B,C] :
( lhs_atom15(C,B,A)
| ~ m1_relset_1(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [A] :
( lhs_atom16(A)
<=> r1_tarski(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [A] :
( lhs_atom16(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [B,A] :
( lhs_atom17(B,A)
<=> r3_lattices(A,B,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
! [A,B,C] :
( lhs_atom17(B,A)
| ~ ( ~ v3_struct_0(A)
& v6_lattices(A)
& v8_lattices(A)
& v9_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,u1_struct_0(A))
& m1_subset_1(C,u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[reflexivity_r3_lattices_0,def_lhs_atom17]) ).
fof(to_be_clausified_34,plain,
! [A,B] :
( lhs_atom2(B,A)
| m1_subset_1(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom2]) ).
fof(def_lhs_atom18,axiom,
! [B,A] :
( lhs_atom18(B,A)
<=> ~ m1_subset_1(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
! [A,B] :
( lhs_atom18(B,A)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [B,A] :
( lhs_atom19(B,A)
<=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
! [A,B] :
( lhs_atom19(B,A)
| r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [B,A] :
( lhs_atom20(B,A)
<=> m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [A,B] :
( lhs_atom20(B,A)
| ~ r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [C,A] :
( lhs_atom21(C,A)
<=> m1_subset_1(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [A,B,C] :
( lhs_atom21(C,A)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom21]) ).
fof(to_be_clausified_39,plain,
! [A] :
( lhs_atom3(A)
| A = k1_xboole_0 ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom3]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X2,X1] :
( lhs_atom15(X3,X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_1,axiom,
! [X3,X2,X1] :
( lhs_atom9(X3,X2,X1)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom8(X1)
| ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_3,axiom,
! [X1] :
( lhs_atom7(X1)
| ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_4,axiom,
! [X3,X2,X1] :
( lhs_atom17(X2,X1)
| ~ ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) ) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_5,axiom,
! [X3,X2,X1] :
( lhs_atom9(X3,X2,X1)
| m1_relset_1(X3,X1,X2) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_6,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_7,axiom,
! [X3,X2,X1] :
( lhs_atom21(X3,X1)
| ~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) ) ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_8,axiom,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v10_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_10,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| v1_relat_1(X3) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_11,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_12,axiom,
! [X2,X1] :
( lhs_atom20(X2,X1)
| ~ r1_tarski(X1,X2) ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_13,axiom,
! [X2,X1] :
( lhs_atom2(X2,X1)
| ~ r2_hidden(X2,X1) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_14,axiom,
! [X2,X1] :
( lhs_atom18(X2,X1)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_15,axiom,
! [X1] :
( lhs_atom14(X1)
| ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_16,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_17,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v15_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_18,axiom,
! [X2,X1] :
( lhs_atom19(X2,X1)
| r1_tarski(X1,X2) ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_19,axiom,
! [X2,X1] :
( lhs_atom2(X2,X1)
| m1_subset_1(X1,X2) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_20,axiom,
! [X2,X1] :
( lhs_atom13(X2,X1)
| ~ ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_21,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v15_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_24,axiom,
! [X1] :
( lhs_atom10(X1)
| ~ ( ~ v3_struct_0(X1)
& l1_struct_0(X1) ) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom1(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_26,axiom,
! [X1] :
( lhs_atom8(X1)
| l1_struct_0(X1) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_27,axiom,
! [X1] :
( lhs_atom7(X1)
| l1_struct_0(X1) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom3(X1)
| v1_funct_1(X1) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_29,axiom,
! [X1] :
( lhs_atom3(X1)
| X1 = k1_xboole_0 ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_30,axiom,
! [X1] :
( lhs_atom16(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_31,axiom,
! [X1] :
( lhs_atom11(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_32,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_33,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_34,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_35,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_36,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_37,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_38,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_39,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_40,plain,
! [X3,X2,X1] :
( lhs_atom15(X3,X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_41,axiom,
! [X3,X2,X1] :
( lhs_atom9(X3,X2,X1)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
c_0_1 ).
fof(c_0_42,axiom,
! [X1] :
( lhs_atom8(X1)
| ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
c_0_2 ).
fof(c_0_43,axiom,
! [X1] :
( lhs_atom7(X1)
| ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
c_0_3 ).
fof(c_0_44,plain,
! [X3,X2,X1] :
( lhs_atom17(X2,X1)
| ~ ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_45,axiom,
! [X3,X2,X1] :
( lhs_atom9(X3,X2,X1)
| m1_relset_1(X3,X1,X2) ),
c_0_5 ).
fof(c_0_46,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
c_0_6 ).
fof(c_0_47,axiom,
! [X3,X2,X1] :
( lhs_atom21(X3,X1)
| ~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) ) ),
c_0_7 ).
fof(c_0_48,plain,
! [X2,X1] :
( lhs_atom6(X2,X1)
| ~ ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_49,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v10_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_50,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| v1_relat_1(X3) ),
c_0_10 ).
fof(c_0_51,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_52,plain,
! [X2,X1] :
( lhs_atom20(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_53,plain,
! [X2,X1] :
( lhs_atom2(X2,X1)
| ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_54,axiom,
! [X2,X1] :
( lhs_atom18(X2,X1)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
c_0_14 ).
fof(c_0_55,plain,
! [X1] :
( lhs_atom14(X1)
| ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_56,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_57,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v15_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_58,axiom,
! [X2,X1] :
( lhs_atom19(X2,X1)
| r1_tarski(X1,X2) ),
c_0_18 ).
fof(c_0_59,axiom,
! [X2,X1] :
( lhs_atom2(X2,X1)
| m1_subset_1(X1,X2) ),
c_0_19 ).
fof(c_0_60,plain,
! [X2,X1] :
( lhs_atom13(X2,X1)
| ~ ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_61,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_62,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v15_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_63,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_64,plain,
! [X1] :
( lhs_atom10(X1)
| ~ ( ~ v3_struct_0(X1)
& l1_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_65,axiom,
! [X1] :
( lhs_atom1(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
c_0_25 ).
fof(c_0_66,axiom,
! [X1] :
( lhs_atom8(X1)
| l1_struct_0(X1) ),
c_0_26 ).
fof(c_0_67,axiom,
! [X1] :
( lhs_atom7(X1)
| l1_struct_0(X1) ),
c_0_27 ).
fof(c_0_68,axiom,
! [X1] :
( lhs_atom3(X1)
| v1_funct_1(X1) ),
c_0_28 ).
fof(c_0_69,axiom,
! [X1] :
( lhs_atom3(X1)
| X1 = k1_xboole_0 ),
c_0_29 ).
fof(c_0_70,plain,
! [X1] : lhs_atom16(X1),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_71,plain,
! [X1] : lhs_atom11(X1),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_72,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_73,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_74,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_75,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_76,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_77,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_78,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_79,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_80,plain,
! [X4,X5,X6] :
( lhs_atom15(X4,X5,X6)
| ~ m1_relset_1(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_81,plain,
! [X4,X5,X6] :
( lhs_atom9(X4,X5,X6)
| m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X6,X5))) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_82,plain,
! [X2] :
( ( v1_funct_1(u2_lattices(X2))
| lhs_atom8(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom8(X2) )
& ( m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom8(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_83,plain,
! [X2] :
( ( v1_funct_1(u1_lattices(X2))
| lhs_atom7(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom7(X2) )
& ( m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom7(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_43])]) ).
fof(c_0_84,plain,
! [X4,X5,X6] :
( lhs_atom17(X5,X6)
| v3_struct_0(X6)
| ~ v6_lattices(X6)
| ~ v8_lattices(X6)
| ~ v9_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X5,u1_struct_0(X6))
| ~ m1_subset_1(X4,u1_struct_0(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_85,plain,
! [X4,X5,X6] :
( lhs_atom9(X4,X5,X6)
| m1_relset_1(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
fof(c_0_86,plain,
! [X2] :
( lhs_atom1(X2)
| ~ v3_lattices(X2)
| X2 = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_87,plain,
! [X4,X5,X6] :
( lhs_atom21(X4,X6)
| ~ r2_hidden(X6,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_88,plain,
! [X3,X4] :
( lhs_atom6(X3,X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v1_xboole_0(X3)
| ~ m2_lattice4(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
fof(c_0_89,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ v5_lattices(X2)
| ~ v6_lattices(X2)
| ~ v7_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| lhs_atom1(X2) )
& ( v10_lattices(X2)
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ v5_lattices(X2)
| ~ v6_lattices(X2)
| ~ v7_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
fof(c_0_90,plain,
! [X4,X5,X6] :
( lhs_atom4(X4,X5,X6)
| v1_relat_1(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_50])])]) ).
fof(c_0_91,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| lhs_atom1(X2) )
& ( v17_lattices(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
fof(c_0_92,plain,
! [X3,X4] :
( lhs_atom20(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_93,plain,
! [X3,X4] :
( lhs_atom2(X3,X4)
| ~ r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_94,plain,
! [X3,X4] :
( lhs_atom18(X3,X4)
| v1_xboole_0(X3)
| r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_95,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(X3))
| lhs_atom14(X3) )
& ( ~ v1_xboole_0(esk1_1(X3))
| lhs_atom14(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_55])])]) ).
fof(c_0_96,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) )
& ( v10_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) )
& ( v12_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
fof(c_0_97,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v13_lattices(X2)
| ~ v14_lattices(X2)
| lhs_atom1(X2) )
& ( v15_lattices(X2)
| v3_struct_0(X2)
| ~ v13_lattices(X2)
| ~ v14_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
fof(c_0_98,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_99,plain,
! [X3,X4] :
( lhs_atom2(X3,X4)
| m1_subset_1(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_100,plain,
! [X3,X4] :
( lhs_atom13(X3,X4)
| v1_xboole_0(X4)
| v1_xboole_0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).
fof(c_0_101,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| lhs_atom1(X2) )
& ( v11_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| lhs_atom1(X2) )
& ( v13_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| lhs_atom1(X2) )
& ( v14_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| lhs_atom1(X2) )
& ( v15_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| lhs_atom1(X2) )
& ( v16_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
fof(c_0_102,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v15_lattices(X2)
| lhs_atom1(X2) )
& ( v13_lattices(X2)
| v3_struct_0(X2)
| ~ v15_lattices(X2)
| lhs_atom1(X2) )
& ( v14_lattices(X2)
| v3_struct_0(X2)
| ~ v15_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).
fof(c_0_103,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_104,plain,
! [X2] :
( lhs_atom10(X2)
| v3_struct_0(X2)
| ~ l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])]) ).
fof(c_0_105,plain,
! [X2] :
( ( l1_lattices(X2)
| lhs_atom1(X2) )
& ( l2_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_65])]) ).
fof(c_0_106,plain,
! [X2] :
( lhs_atom8(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_107,plain,
! [X2] :
( lhs_atom7(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_108,plain,
! [X2] :
( lhs_atom3(X2)
| v1_funct_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_68]) ).
fof(c_0_109,plain,
! [X2] :
( lhs_atom3(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[c_0_69]) ).
fof(c_0_110,plain,
! [X2] : lhs_atom16(X2),
inference(variable_rename,[status(thm)],[c_0_70]) ).
fof(c_0_111,plain,
! [X2] : lhs_atom11(X2),
inference(variable_rename,[status(thm)],[c_0_71]) ).
fof(c_0_112,plain,
lhs_atom12,
c_0_72 ).
fof(c_0_113,plain,
lhs_atom5,
c_0_73 ).
fof(c_0_114,plain,
lhs_atom5,
c_0_74 ).
fof(c_0_115,plain,
lhs_atom5,
c_0_75 ).
fof(c_0_116,plain,
lhs_atom5,
c_0_76 ).
fof(c_0_117,plain,
lhs_atom5,
c_0_77 ).
fof(c_0_118,plain,
lhs_atom5,
c_0_78 ).
fof(c_0_119,plain,
lhs_atom5,
c_0_79 ).
cnf(c_0_120,plain,
( lhs_atom15(X1,X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_121,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| lhs_atom9(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_122,plain,
( lhs_atom8(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_123,plain,
( lhs_atom8(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_124,plain,
( lhs_atom7(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_125,plain,
( lhs_atom7(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_126,plain,
( v3_struct_0(X2)
| lhs_atom17(X3,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_127,plain,
( m1_relset_1(X1,X2,X3)
| lhs_atom9(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_128,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| lhs_atom1(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_129,plain,
( lhs_atom21(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_130,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| lhs_atom6(X1,X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_131,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_132,plain,
( v1_relat_1(X1)
| lhs_atom4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_133,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_134,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_135,plain,
( lhs_atom20(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_136,plain,
( lhs_atom2(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_137,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v17_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_138,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom18(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_139,plain,
( lhs_atom14(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_140,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_141,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_142,plain,
( r1_tarski(X1,X2)
| lhs_atom19(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_143,plain,
( m1_subset_1(X1,X2)
| lhs_atom2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_144,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_145,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_146,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_147,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_148,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_149,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_150,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_151,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v12_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_152,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_153,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| lhs_atom13(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_154,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_155,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_156,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_157,plain,
( lhs_atom14(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_158,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v11_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_159,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_160,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_161,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_162,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v16_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_163,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v15_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_164,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v15_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_165,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_166,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_167,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_168,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_169,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_170,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_171,plain,
( v3_struct_0(X1)
| lhs_atom10(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_172,plain,
( lhs_atom8(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_173,plain,
( lhs_atom7(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_174,plain,
( lhs_atom1(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_175,plain,
( lhs_atom1(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_176,plain,
( l1_struct_0(X1)
| lhs_atom8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_177,plain,
( l1_struct_0(X1)
| lhs_atom7(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_178,plain,
( v1_funct_1(X1)
| lhs_atom3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_179,plain,
( X1 = k1_xboole_0
| lhs_atom3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_180,plain,
lhs_atom16(X1),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_181,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_182,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_183,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_184,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_185,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_186,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_187,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_188,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_189,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_190,plain,
( lhs_atom15(X1,X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
c_0_120,
[final] ).
cnf(c_0_191,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| lhs_atom9(X1,X3,X2) ),
c_0_121,
[final] ).
cnf(c_0_192,plain,
( lhs_atom8(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_122,
[final] ).
cnf(c_0_193,plain,
( lhs_atom8(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_123,
[final] ).
cnf(c_0_194,plain,
( lhs_atom7(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_124,
[final] ).
cnf(c_0_195,plain,
( lhs_atom7(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_125,
[final] ).
cnf(c_0_196,plain,
( v3_struct_0(X2)
| lhs_atom17(X3,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2) ),
c_0_126,
[final] ).
cnf(c_0_197,plain,
( m1_relset_1(X1,X2,X3)
| lhs_atom9(X1,X3,X2) ),
c_0_127,
[final] ).
cnf(c_0_198,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| lhs_atom1(X1)
| ~ v3_lattices(X1) ),
c_0_128,
[final] ).
cnf(c_0_199,plain,
( lhs_atom21(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
c_0_129,
[final] ).
cnf(c_0_200,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| lhs_atom6(X1,X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_130,
[final] ).
cnf(c_0_201,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_131,
[final] ).
cnf(c_0_202,plain,
( v1_relat_1(X1)
| lhs_atom4(X1,X2,X3) ),
c_0_132,
[final] ).
cnf(c_0_203,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_133,
[final] ).
cnf(c_0_204,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_134,
[final] ).
cnf(c_0_205,plain,
( lhs_atom20(X2,X1)
| ~ r1_tarski(X1,X2) ),
c_0_135,
[final] ).
cnf(c_0_206,plain,
( lhs_atom2(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_136,
[final] ).
cnf(c_0_207,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v17_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1) ),
c_0_137,
[final] ).
cnf(c_0_208,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom18(X2,X1) ),
c_0_138,
[final] ).
cnf(c_0_209,plain,
( lhs_atom14(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
c_0_139,
[final] ).
cnf(c_0_210,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_140,
[final] ).
cnf(c_0_211,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_141,
[final] ).
cnf(c_0_212,plain,
( r1_tarski(X1,X2)
| lhs_atom19(X2,X1) ),
c_0_142,
[final] ).
cnf(c_0_213,plain,
( m1_subset_1(X1,X2)
| lhs_atom2(X2,X1) ),
c_0_143,
[final] ).
cnf(c_0_214,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_144,
[final] ).
cnf(c_0_215,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_145,
[final] ).
cnf(c_0_216,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_146,
[final] ).
cnf(c_0_217,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_147,
[final] ).
cnf(c_0_218,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_148,
[final] ).
cnf(c_0_219,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_149,
[final] ).
cnf(c_0_220,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_150,
[final] ).
cnf(c_0_221,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v12_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_151,
[final] ).
cnf(c_0_222,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1) ),
c_0_152,
[final] ).
cnf(c_0_223,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| lhs_atom13(X1,X2) ),
c_0_153,
[final] ).
cnf(c_0_224,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_154,
[final] ).
cnf(c_0_225,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_155,
[final] ).
cnf(c_0_226,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_156,
[final] ).
cnf(c_0_227,plain,
( lhs_atom14(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
c_0_157,
[final] ).
cnf(c_0_228,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v11_lattices(X1)
| ~ v17_lattices(X1) ),
c_0_158,
[final] ).
cnf(c_0_229,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v17_lattices(X1) ),
c_0_159,
[final] ).
cnf(c_0_230,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v17_lattices(X1) ),
c_0_160,
[final] ).
cnf(c_0_231,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v17_lattices(X1) ),
c_0_161,
[final] ).
cnf(c_0_232,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v16_lattices(X1)
| ~ v17_lattices(X1) ),
c_0_162,
[final] ).
cnf(c_0_233,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v15_lattices(X1) ),
c_0_163,
[final] ).
cnf(c_0_234,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v15_lattices(X1) ),
c_0_164,
[final] ).
cnf(c_0_235,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_165,
[final] ).
cnf(c_0_236,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_166,
[final] ).
cnf(c_0_237,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_167,
[final] ).
cnf(c_0_238,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_168,
[final] ).
cnf(c_0_239,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_169,
[final] ).
cnf(c_0_240,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_170,
[final] ).
cnf(c_0_241,plain,
( v3_struct_0(X1)
| lhs_atom10(X1)
| ~ l1_struct_0(X1) ),
c_0_171,
[final] ).
cnf(c_0_242,plain,
( lhs_atom8(X1)
| v1_funct_1(u2_lattices(X1)) ),
c_0_172,
[final] ).
cnf(c_0_243,plain,
( lhs_atom7(X1)
| v1_funct_1(u1_lattices(X1)) ),
c_0_173,
[final] ).
cnf(c_0_244,plain,
( lhs_atom1(X1)
| l1_lattices(X1) ),
c_0_174,
[final] ).
cnf(c_0_245,plain,
( lhs_atom1(X1)
| l2_lattices(X1) ),
c_0_175,
[final] ).
cnf(c_0_246,plain,
( l1_struct_0(X1)
| lhs_atom8(X1) ),
c_0_176,
[final] ).
cnf(c_0_247,plain,
( l1_struct_0(X1)
| lhs_atom7(X1) ),
c_0_177,
[final] ).
cnf(c_0_248,plain,
( v1_funct_1(X1)
| lhs_atom3(X1) ),
c_0_178,
[final] ).
cnf(c_0_249,plain,
( X1 = k1_xboole_0
| lhs_atom3(X1) ),
c_0_179,
[final] ).
cnf(c_0_250,plain,
lhs_atom16(X1),
c_0_180,
[final] ).
cnf(c_0_251,plain,
lhs_atom11(X1),
c_0_181,
[final] ).
cnf(c_0_252,plain,
lhs_atom12,
c_0_182,
[final] ).
cnf(c_0_253,plain,
lhs_atom5,
c_0_183,
[final] ).
cnf(c_0_254,plain,
lhs_atom5,
c_0_184,
[final] ).
cnf(c_0_255,plain,
lhs_atom5,
c_0_185,
[final] ).
cnf(c_0_256,plain,
lhs_atom5,
c_0_186,
[final] ).
cnf(c_0_257,plain,
lhs_atom5,
c_0_187,
[final] ).
cnf(c_0_258,plain,
lhs_atom5,
c_0_188,
[final] ).
cnf(c_0_259,plain,
lhs_atom5,
c_0_189,
[final] ).
% End CNF derivation
cnf(c_0_190_0,axiom,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_190,def_lhs_atom15]) ).
cnf(c_0_191_0,axiom,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom9]) ).
cnf(c_0_192_0,axiom,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom8]) ).
cnf(c_0_193_0,axiom,
( ~ l2_lattices(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom8]) ).
cnf(c_0_194_0,axiom,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom7]) ).
cnf(c_0_195_0,axiom,
( ~ l1_lattices(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom7]) ).
cnf(c_0_196_0,axiom,
( r3_lattices(X2,X3,X3)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2) ),
inference(unfold_definition,[status(thm)],[c_0_196,def_lhs_atom17]) ).
cnf(c_0_197_0,axiom,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_197,def_lhs_atom9]) ).
cnf(c_0_198_0,axiom,
( ~ l3_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ v3_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom1]) ).
cnf(c_0_199_0,axiom,
( m1_subset_1(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom21]) ).
cnf(c_0_200_0,axiom,
( m2_nat_lat(k23_filter_2(X2,X1),X2)
| v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(unfold_definition,[status(thm)],[c_0_200,def_lhs_atom6]) ).
cnf(c_0_201_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_201,def_lhs_atom1]) ).
cnf(c_0_202_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))
| v1_relat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_202,def_lhs_atom4]) ).
cnf(c_0_203_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_203,def_lhs_atom1]) ).
cnf(c_0_204_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_204,def_lhs_atom1]) ).
cnf(c_0_205_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_205,def_lhs_atom20]) ).
cnf(c_0_206_0,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_206,def_lhs_atom2]) ).
cnf(c_0_207_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v17_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_207,def_lhs_atom1]) ).
cnf(c_0_208_0,axiom,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_208,def_lhs_atom18]) ).
cnf(c_0_209_0,axiom,
( v1_xboole_0(X1)
| m1_subset_1(sk1_esk1_1(X1),k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_209,def_lhs_atom14]) ).
cnf(c_0_210_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_210,def_lhs_atom1]) ).
cnf(c_0_211_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_211,def_lhs_atom1]) ).
cnf(c_0_212_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_212,def_lhs_atom19]) ).
cnf(c_0_213_0,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_213,def_lhs_atom2]) ).
cnf(c_0_214_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_214,def_lhs_atom1]) ).
cnf(c_0_215_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_215,def_lhs_atom1]) ).
cnf(c_0_216_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_216,def_lhs_atom1]) ).
cnf(c_0_217_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_217,def_lhs_atom1]) ).
cnf(c_0_218_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_218,def_lhs_atom1]) ).
cnf(c_0_219_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_219,def_lhs_atom1]) ).
cnf(c_0_220_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_220,def_lhs_atom1]) ).
cnf(c_0_221_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v12_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_221,def_lhs_atom1]) ).
cnf(c_0_222_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_222,def_lhs_atom1]) ).
cnf(c_0_223_0,axiom,
( ~ v1_xboole_0(k2_zfmisc_1(X2,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_223,def_lhs_atom13]) ).
cnf(c_0_224_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_224,def_lhs_atom1]) ).
cnf(c_0_225_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_225,def_lhs_atom1]) ).
cnf(c_0_226_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_226,def_lhs_atom1]) ).
cnf(c_0_227_0,axiom,
( v1_xboole_0(X1)
| ~ v1_xboole_0(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_227,def_lhs_atom14]) ).
cnf(c_0_228_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v11_lattices(X1)
| ~ v17_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_228,def_lhs_atom1]) ).
cnf(c_0_229_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v17_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_229,def_lhs_atom1]) ).
cnf(c_0_230_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v17_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_230,def_lhs_atom1]) ).
cnf(c_0_231_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v17_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_231,def_lhs_atom1]) ).
cnf(c_0_232_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v16_lattices(X1)
| ~ v17_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_232,def_lhs_atom1]) ).
cnf(c_0_233_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v15_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_233,def_lhs_atom1]) ).
cnf(c_0_234_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v15_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_234,def_lhs_atom1]) ).
cnf(c_0_235_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_235,def_lhs_atom1]) ).
cnf(c_0_236_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_236,def_lhs_atom1]) ).
cnf(c_0_237_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_237,def_lhs_atom1]) ).
cnf(c_0_238_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_238,def_lhs_atom1]) ).
cnf(c_0_239_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_239,def_lhs_atom1]) ).
cnf(c_0_240_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_240,def_lhs_atom1]) ).
cnf(c_0_241_0,axiom,
( ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_241,def_lhs_atom10]) ).
cnf(c_0_242_0,axiom,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_242,def_lhs_atom8]) ).
cnf(c_0_243_0,axiom,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_243,def_lhs_atom7]) ).
cnf(c_0_244_0,axiom,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_244,def_lhs_atom1]) ).
cnf(c_0_245_0,axiom,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_245,def_lhs_atom1]) ).
cnf(c_0_246_0,axiom,
( ~ l2_lattices(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_246,def_lhs_atom8]) ).
cnf(c_0_247_0,axiom,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_247,def_lhs_atom7]) ).
cnf(c_0_248_0,axiom,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_248,def_lhs_atom3]) ).
cnf(c_0_249_0,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(unfold_definition,[status(thm)],[c_0_249,def_lhs_atom3]) ).
cnf(c_0_250_0,axiom,
r1_tarski(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_250,def_lhs_atom16]) ).
cnf(c_0_251_0,axiom,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(unfold_definition,[status(thm)],[c_0_251,def_lhs_atom11]) ).
cnf(c_0_252_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_252,def_lhs_atom12]) ).
cnf(c_0_253_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_253,def_lhs_atom5]) ).
cnf(c_0_254_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_254,def_lhs_atom5]) ).
cnf(c_0_255_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_255,def_lhs_atom5]) ).
cnf(c_0_256_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_256,def_lhs_atom5]) ).
cnf(c_0_257_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_257,def_lhs_atom5]) ).
cnf(c_0_258_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_258,def_lhs_atom5]) ).
cnf(c_0_259_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_259,def_lhs_atom5]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( ~ v3_struct_0(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('<stdin>',fc3_lattices) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('<stdin>',free_g3_lattices) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('<stdin>',dt_g3_lattices) ).
fof(c_0_3_004,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('<stdin>',t86_filter_2) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
file('<stdin>',dt_k22_filter_2) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
file('<stdin>',redefinition_r3_lattices) ).
fof(c_0_6_007,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_lattices(X1))
& v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',fc2_lattice2) ).
fof(c_0_7_008,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v5_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_lattices(X1))
& v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',fc3_lattice2) ).
fof(c_0_8_009,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_lattices(X1))
& v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',fc4_lattice2) ).
fof(c_0_9_010,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v7_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_lattices(X1))
& v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',fc5_lattice2) ).
fof(c_0_10_011,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
file('<stdin>',fc5_filter_2) ).
fof(c_0_11_012,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
file('<stdin>',t78_filter_2) ).
fof(c_0_12_013,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
file('<stdin>',existence_m1_relset_1) ).
fof(c_0_13_014,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
file('<stdin>',existence_m2_relset_1) ).
fof(c_0_14_015,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('<stdin>',dt_m2_lattice4) ).
fof(c_0_15_016,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('<stdin>',t5_subset) ).
fof(c_0_16_017,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc5_struct_0) ).
fof(c_0_17_018,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ) ),
file('<stdin>',dt_m2_nat_lat) ).
fof(c_0_18_019,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_lattice4(X2,X1) ),
file('<stdin>',existence_m2_lattice4) ).
fof(c_0_19_020,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_nat_lat(X2,X1) ),
file('<stdin>',existence_m2_nat_lat) ).
fof(c_0_20_021,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc1_lattice4) ).
fof(c_0_21_022,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_nat_lat(X2,X1)
& ~ v3_struct_0(X2)
& v3_lattices(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2)
& v10_lattices(X2) ) ),
file('<stdin>',rc1_nat_lat) ).
fof(c_0_22_023,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_23_024,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_24_025,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_25_026,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_26_027,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_27_028,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& v12_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1) ),
file('<stdin>',rc10_lattices) ).
fof(c_0_28_029,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1) ),
file('<stdin>',rc11_lattices) ).
fof(c_0_29_030,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ),
file('<stdin>',rc12_lattices) ).
fof(c_0_30_031,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& v17_lattices(X1) ),
file('<stdin>',rc13_lattices) ).
fof(c_0_31_032,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_32_033,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_33_034,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1) ),
file('<stdin>',rc6_lattices) ).
fof(c_0_34_035,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1) ),
file('<stdin>',rc9_lattices) ).
fof(c_0_35_036,axiom,
? [X1] : l1_lattices(X1),
file('<stdin>',existence_l1_lattices) ).
fof(c_0_36_037,axiom,
? [X1] : l1_struct_0(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_37_038,axiom,
? [X1] : l2_lattices(X1),
file('<stdin>',existence_l2_lattices) ).
fof(c_0_38_039,axiom,
? [X1] : l3_lattices(X1),
file('<stdin>',existence_l3_lattices) ).
fof(c_0_39_040,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_40_041,axiom,
? [X1] : v1_xboole_0(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_41_042,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) ),
file('<stdin>',rc2_funct_1) ).
fof(c_0_42_043,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ),
file('<stdin>',rc3_funct_1) ).
fof(c_0_43_044,axiom,
? [X1] :
( l3_lattices(X1)
& v3_lattices(X1) ),
file('<stdin>',rc3_lattices) ).
fof(c_0_44_045,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( ~ v3_struct_0(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_45_046,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
c_0_1 ).
fof(c_0_46_047,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
c_0_2 ).
fof(c_0_47_048,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_48_049,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_49_050,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_50_051,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_lattices(X1))
& v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_51_052,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v5_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_lattices(X1))
& v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_52_053,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_lattices(X1))
& v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_53_054,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v7_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_lattices(X1))
& v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_54_055,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_55_056,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_56_057,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
c_0_12 ).
fof(c_0_57_058,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
c_0_13 ).
fof(c_0_58_059,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_59_060,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_15 ).
fof(c_0_60_061,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_61_062,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_62_063,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_lattice4(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_63_064,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_nat_lat(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_64_065,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_65_066,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_nat_lat(X2,X1)
& ~ v3_struct_0(X2)
& v3_lattices(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2)
& v10_lattices(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_66_067,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_22 ).
fof(c_0_67_068,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
c_0_23 ).
fof(c_0_68_069,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ) ),
c_0_24 ).
fof(c_0_69_070,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_25 ).
fof(c_0_70_071,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_26 ).
fof(c_0_71_072,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& v12_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_72_073,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_73_074,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_74_075,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& v17_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_75_076,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_76_077,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_77_078,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_78_079,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_79_080,axiom,
? [X1] : l1_lattices(X1),
c_0_35 ).
fof(c_0_80_081,axiom,
? [X1] : l1_struct_0(X1),
c_0_36 ).
fof(c_0_81_082,axiom,
? [X1] : l2_lattices(X1),
c_0_37 ).
fof(c_0_82_083,axiom,
? [X1] : l3_lattices(X1),
c_0_38 ).
fof(c_0_83_084,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1) ),
c_0_39 ).
fof(c_0_84_085,axiom,
? [X1] : v1_xboole_0(X1),
c_0_40 ).
fof(c_0_85_086,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) ),
c_0_41 ).
fof(c_0_86_087,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ),
c_0_42 ).
fof(c_0_87_088,axiom,
? [X1] :
( l3_lattices(X1)
& v3_lattices(X1) ),
c_0_43 ).
fof(c_0_88_089,plain,
! [X4,X5,X6] :
( ( ~ v3_struct_0(g3_lattices(X4,X5,X6))
| v1_xboole_0(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) )
& ( v3_lattices(g3_lattices(X4,X5,X6))
| v1_xboole_0(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_89_090,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( X7 = X10
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X8 = X11
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X9 = X12
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
fof(c_0_90_091,plain,
! [X4,X5,X6] :
( ( v3_lattices(g3_lattices(X4,X5,X6))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) )
& ( l3_lattices(g3_lattices(X4,X5,X6))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
fof(c_0_91_092,plain,
! [X4,X5,X6] :
( ( ~ v3_struct_0(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v10_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v15_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v16_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( l3_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).
fof(c_0_92_093,plain,
! [X4,X5,X6] :
( ( ~ v1_xboole_0(k22_filter_2(X4,X5,X6))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( m2_lattice4(k22_filter_2(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
fof(c_0_93_094,plain,
! [X4,X5,X6] :
( ( ~ r3_lattices(X4,X5,X6)
| r1_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( ~ r1_lattices(X4,X5,X6)
| r3_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
fof(c_0_94_095,plain,
! [X2] :
( ( v1_relat_1(u2_lattices(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_funct_1(u2_lattices(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_binop_1(u2_lattices(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_partfun1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])]) ).
fof(c_0_95_096,plain,
! [X2] :
( ( v1_relat_1(u2_lattices(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_funct_1(u2_lattices(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) )
& ( v2_binop_1(u2_lattices(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_partfun1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
fof(c_0_96_097,plain,
! [X2] :
( ( v1_relat_1(u1_lattices(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_funct_1(u1_lattices(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_binop_1(u1_lattices(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_partfun1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).
fof(c_0_97_098,plain,
! [X2] :
( ( v1_relat_1(u1_lattices(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_funct_1(u1_lattices(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) )
& ( v2_binop_1(u1_lattices(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_partfun1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_98_099,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v3_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v4_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v5_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v6_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v7_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v8_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v9_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v10_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_99_100,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3)
| ~ v11_lattices(X3)
| v11_lattices(k23_filter_2(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_100_101,plain,
! [X4,X5] : m1_relset_1(esk22_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_56])]) ).
fof(c_0_101_102,plain,
! [X4,X5] : m2_relset_1(esk18_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_57])]) ).
fof(c_0_102_103,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
fof(c_0_103_104,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).
fof(c_0_104_105,plain,
! [X3] :
( ( m1_subset_1(esk3_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk3_1(X3))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
fof(c_0_105_106,plain,
! [X3,X4] :
( ( ~ v3_struct_0(X4)
| ~ m2_nat_lat(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v10_lattices(X4)
| ~ m2_nat_lat(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( l3_lattices(X4)
| ~ m2_nat_lat(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
fof(c_0_106_107,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m2_lattice4(esk20_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).
fof(c_0_107_108,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m2_nat_lat(esk19_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_108_109,plain,
! [X3] :
( ( m2_lattice4(esk12_1(X3),X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ v1_xboole_0(esk12_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])]) ).
fof(c_0_109_110,plain,
! [X3] :
( ( m2_nat_lat(esk11_1(X3),X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ v3_struct_0(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v3_lattices(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v4_lattices(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v5_lattices(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v6_lattices(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v7_lattices(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v8_lattices(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v9_lattices(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( v10_lattices(esk11_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).
fof(c_0_110_111,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).
fof(c_0_111_112,plain,
! [X3] :
( m1_subset_1(esk8_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk8_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_67])]) ).
fof(c_0_112_113,plain,
! [X2] :
( ( v1_relat_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2) )
& ( v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2) )
& ( v2_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
fof(c_0_113_114,plain,
! [X3] : m1_subset_1(esk21_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_69])]) ).
fof(c_0_114_115,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])]) ).
fof(c_0_115_116,plain,
( l3_lattices(esk17_0)
& ~ v3_struct_0(esk17_0)
& v3_lattices(esk17_0)
& v4_lattices(esk17_0)
& v5_lattices(esk17_0)
& v6_lattices(esk17_0)
& v7_lattices(esk17_0)
& v8_lattices(esk17_0)
& v9_lattices(esk17_0)
& v10_lattices(esk17_0)
& v11_lattices(esk17_0)
& v12_lattices(esk17_0)
& v13_lattices(esk17_0)
& v14_lattices(esk17_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_71])]) ).
fof(c_0_116_117,plain,
( l3_lattices(esk16_0)
& ~ v3_struct_0(esk16_0)
& v3_lattices(esk16_0)
& v4_lattices(esk16_0)
& v5_lattices(esk16_0)
& v6_lattices(esk16_0)
& v7_lattices(esk16_0)
& v8_lattices(esk16_0)
& v9_lattices(esk16_0)
& v10_lattices(esk16_0)
& v13_lattices(esk16_0)
& v14_lattices(esk16_0)
& v15_lattices(esk16_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_72])]) ).
fof(c_0_117_118,plain,
( l3_lattices(esk15_0)
& ~ v3_struct_0(esk15_0)
& v3_lattices(esk15_0)
& v4_lattices(esk15_0)
& v5_lattices(esk15_0)
& v6_lattices(esk15_0)
& v7_lattices(esk15_0)
& v8_lattices(esk15_0)
& v9_lattices(esk15_0)
& v10_lattices(esk15_0)
& v13_lattices(esk15_0)
& v14_lattices(esk15_0)
& v15_lattices(esk15_0)
& v16_lattices(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_73])]) ).
fof(c_0_118_119,plain,
( l3_lattices(esk14_0)
& ~ v3_struct_0(esk14_0)
& v3_lattices(esk14_0)
& v4_lattices(esk14_0)
& v5_lattices(esk14_0)
& v6_lattices(esk14_0)
& v7_lattices(esk14_0)
& v8_lattices(esk14_0)
& v9_lattices(esk14_0)
& v10_lattices(esk14_0)
& v11_lattices(esk14_0)
& v13_lattices(esk14_0)
& v14_lattices(esk14_0)
& v15_lattices(esk14_0)
& v16_lattices(esk14_0)
& v17_lattices(esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_74])]) ).
fof(c_0_119_120,plain,
~ v1_xboole_0(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_75])]) ).
fof(c_0_120_121,plain,
( l1_struct_0(esk4_0)
& ~ v3_struct_0(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_76])]) ).
fof(c_0_121_122,plain,
( l3_lattices(esk2_0)
& ~ v3_struct_0(esk2_0)
& v3_lattices(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_77])]) ).
fof(c_0_122_123,plain,
( l3_lattices(esk1_0)
& ~ v3_struct_0(esk1_0)
& v3_lattices(esk1_0)
& v4_lattices(esk1_0)
& v5_lattices(esk1_0)
& v6_lattices(esk1_0)
& v7_lattices(esk1_0)
& v8_lattices(esk1_0)
& v9_lattices(esk1_0)
& v10_lattices(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_78])]) ).
fof(c_0_123_124,plain,
l1_lattices(esk26_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_79])]) ).
fof(c_0_124_125,plain,
l1_struct_0(esk25_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_80])]) ).
fof(c_0_125_126,plain,
l2_lattices(esk24_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_81])]) ).
fof(c_0_126_127,plain,
l3_lattices(esk23_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_82])]) ).
fof(c_0_127_128,plain,
( v1_relat_1(esk13_0)
& v1_funct_1(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_83])]) ).
fof(c_0_128_129,plain,
v1_xboole_0(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_84])]) ).
fof(c_0_129_130,plain,
( v1_relat_1(esk9_0)
& v1_xboole_0(esk9_0)
& v1_funct_1(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_85])]) ).
fof(c_0_130_131,plain,
( v1_relat_1(esk6_0)
& v1_funct_1(esk6_0)
& v2_funct_1(esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_86])]) ).
fof(c_0_131_132,plain,
( l3_lattices(esk5_0)
& v3_lattices(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_87])]) ).
cnf(c_0_132_133,plain,
( v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_133_134,plain,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_134_135,plain,
( X3 = X5
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_135_136,plain,
( X1 = X6
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_136_137,plain,
( v1_xboole_0(X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_137_138,plain,
( v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_138_139,plain,
( l3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_139_140,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_140_141,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_141_142,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_142_143,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_143_144,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_144_145,plain,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_145_146,plain,
( v3_struct_0(X2)
| r1_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_146_147,plain,
( v3_struct_0(X2)
| r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_147_148,plain,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_148_149,plain,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_149_150,plain,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_150_151,plain,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_151_152,plain,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_152_153,plain,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_153_154,plain,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_154_155,plain,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_155_156,plain,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_156_157,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k23_filter_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_157_158,plain,
( v11_lattices(k23_filter_2(X1,X2))
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_158_159,plain,
m1_relset_1(esk22_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_159_160,plain,
m2_relset_1(esk18_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_160_161,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v3_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_161_162,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v4_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_162_163,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v5_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_163_164,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v6_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_164_165,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v7_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_165_166,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v8_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_166_167,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v9_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_167_168,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v10_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_168_169,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_169_170,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_170_171,plain,
( v3_struct_0(X1)
| m1_subset_1(esk3_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_171_172,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1)
| ~ v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_172_173,plain,
( v3_struct_0(X1)
| v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_173_174,plain,
( v3_struct_0(X1)
| l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_174_175,plain,
( v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_175_176,plain,
( v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_176_177,plain,
( v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_177_178,plain,
( v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_178_179,plain,
( m2_lattice4(esk20_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_179_180,plain,
( m2_nat_lat(esk19_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_180_181,plain,
( v3_struct_0(X1)
| m2_lattice4(esk12_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_181_182,plain,
( v3_struct_0(X1)
| m2_nat_lat(esk11_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_182_183,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_183_184,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_184_185,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_185_186,plain,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_186_187,plain,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_187_188,plain,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_188_189,plain,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_189_190,plain,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_190_191,plain,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_191_192,plain,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_192_193,plain,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_193_194,plain,
( v3_struct_0(X1)
| v3_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_194_195,plain,
( v3_struct_0(X1)
| v4_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_195_196,plain,
( v3_struct_0(X1)
| v5_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_196_197,plain,
( v3_struct_0(X1)
| v6_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_197_198,plain,
( v3_struct_0(X1)
| v7_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_198_199,plain,
( v3_struct_0(X1)
| v8_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_199_200,plain,
( v3_struct_0(X1)
| v9_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_200_201,plain,
( v3_struct_0(X1)
| v10_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_201_202,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_202_203,plain,
m1_subset_1(esk8_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_203_204,plain,
( v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_204_205,plain,
( v1_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_205_206,plain,
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_206_207,plain,
m1_subset_1(esk21_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_207_208,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_208_209,plain,
v1_xboole_0(esk8_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_209_210,plain,
~ v3_struct_0(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_210_211,plain,
~ v3_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_211_212,plain,
~ v3_struct_0(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_212_213,plain,
~ v3_struct_0(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_213_214,plain,
~ v1_xboole_0(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_214_215,plain,
~ v3_struct_0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_215_216,plain,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_216_217,plain,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_217_218,plain,
l1_lattices(esk26_0),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_218_219,plain,
l1_struct_0(esk25_0),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_219_220,plain,
l2_lattices(esk24_0),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_220_221,plain,
l3_lattices(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_221_222,plain,
l3_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_222_223,plain,
v3_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_223_224,plain,
v4_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_224_225,plain,
v5_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_225_226,plain,
v6_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_226_227,plain,
v7_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_227_228,plain,
v8_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_228_229,plain,
v9_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_229_230,plain,
v10_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_230_231,plain,
v11_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_231_232,plain,
v12_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_232_233,plain,
v13_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_233_234,plain,
v14_lattices(esk17_0),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_234_235,plain,
l3_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_235_236,plain,
v3_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_236_237,plain,
v4_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_237_238,plain,
v5_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_238_239,plain,
v6_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_239_240,plain,
v7_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_240_241,plain,
v8_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_241_242,plain,
v9_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_242_243,plain,
v10_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_243_244,plain,
v13_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_244_245,plain,
v14_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_245_246,plain,
v15_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_246_247,plain,
l3_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_247_248,plain,
v3_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_248_249,plain,
v4_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_249_250,plain,
v5_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_250_251,plain,
v6_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_251_252,plain,
v7_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_252_253,plain,
v8_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_253_254,plain,
v9_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_254_255,plain,
v10_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_255_256,plain,
v13_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_256_257,plain,
v14_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_257_258,plain,
v15_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_258_259,plain,
v16_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_259_260,plain,
l3_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_260,plain,
v3_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_261,plain,
v4_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_262,plain,
v5_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_263,plain,
v6_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_264,plain,
v7_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_265,plain,
v8_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_266,plain,
v9_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_267,plain,
v10_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_268,plain,
v11_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_269,plain,
v13_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_270,plain,
v14_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_271,plain,
v15_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_272,plain,
v16_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_273,plain,
v17_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_274,plain,
v1_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_275,plain,
v1_funct_1(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_276,plain,
v1_xboole_0(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_277,plain,
v1_relat_1(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_278,plain,
v1_xboole_0(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_279,plain,
v1_funct_1(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_280,plain,
v1_relat_1(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_281,plain,
v1_funct_1(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_282,plain,
v2_funct_1(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_283,plain,
l3_lattices(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_284,plain,
v3_lattices(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_285,plain,
l1_struct_0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_286,plain,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_287,plain,
v3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_288,plain,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_289,plain,
v3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_290,plain,
v4_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_291,plain,
v5_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_292,plain,
v6_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_293,plain,
v7_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_294,plain,
v8_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_295,plain,
v9_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_296,plain,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_297,plain,
( v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
c_0_132,
[final] ).
cnf(c_0_298,plain,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
c_0_133,
[final] ).
cnf(c_0_299,plain,
( X3 = X5
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
c_0_134,
[final] ).
cnf(c_0_300,plain,
( X1 = X6
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
c_0_135,
[final] ).
cnf(c_0_301,plain,
( v1_xboole_0(X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
c_0_136,
[final] ).
cnf(c_0_302,plain,
( v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
c_0_137,
[final] ).
cnf(c_0_303,plain,
( l3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
c_0_138,
[final] ).
cnf(c_0_304,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
c_0_139,
[final] ).
cnf(c_0_305,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_140,
[final] ).
cnf(c_0_306,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_141,
[final] ).
cnf(c_0_307,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_142,
[final] ).
cnf(c_0_308,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_143,
[final] ).
cnf(c_0_309,plain,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
c_0_144,
[final] ).
cnf(c_0_310,plain,
( v3_struct_0(X2)
| r1_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
c_0_145,
[final] ).
cnf(c_0_311,plain,
( v3_struct_0(X2)
| r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
c_0_146,
[final] ).
cnf(c_0_312,plain,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_147,
[final] ).
cnf(c_0_313,plain,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_148,
[final] ).
cnf(c_0_314,plain,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_149,
[final] ).
cnf(c_0_315,plain,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_150,
[final] ).
cnf(c_0_316,plain,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_151,
[final] ).
cnf(c_0_317,plain,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_152,
[final] ).
cnf(c_0_318,plain,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_153,
[final] ).
cnf(c_0_319,plain,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_154,
[final] ).
cnf(c_0_320,plain,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_155,
[final] ).
cnf(c_0_321,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k23_filter_2(X2,X1)) ),
c_0_156,
[final] ).
cnf(c_0_322,plain,
( v11_lattices(k23_filter_2(X1,X2))
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_157,
[final] ).
cnf(c_0_323,plain,
m1_relset_1(esk22_2(X1,X2),X1,X2),
c_0_158,
[final] ).
cnf(c_0_324,plain,
m2_relset_1(esk18_2(X1,X2),X1,X2),
c_0_159,
[final] ).
cnf(c_0_325,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v3_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_160,
[final] ).
cnf(c_0_326,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v4_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_161,
[final] ).
cnf(c_0_327,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v5_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_162,
[final] ).
cnf(c_0_328,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v6_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_163,
[final] ).
cnf(c_0_329,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v7_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_164,
[final] ).
cnf(c_0_330,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v8_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_165,
[final] ).
cnf(c_0_331,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v9_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_166,
[final] ).
cnf(c_0_332,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v10_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_167,
[final] ).
cnf(c_0_333,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_168,
[final] ).
cnf(c_0_334,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_169,
[final] ).
cnf(c_0_335,plain,
( v3_struct_0(X1)
| m1_subset_1(esk3_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_170,
[final] ).
cnf(c_0_336,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1)
| ~ v3_struct_0(X2) ),
c_0_171,
[final] ).
cnf(c_0_337,plain,
( v3_struct_0(X1)
| v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
c_0_172,
[final] ).
cnf(c_0_338,plain,
( v3_struct_0(X1)
| l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
c_0_173,
[final] ).
cnf(c_0_339,plain,
( v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_174,
[final] ).
cnf(c_0_340,plain,
( v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_175,
[final] ).
cnf(c_0_341,plain,
( v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_176,
[final] ).
cnf(c_0_342,plain,
( v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_177,
[final] ).
cnf(c_0_343,plain,
( m2_lattice4(esk20_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_178,
[final] ).
cnf(c_0_344,plain,
( m2_nat_lat(esk19_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_179,
[final] ).
cnf(c_0_345,plain,
( v3_struct_0(X1)
| m2_lattice4(esk12_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_180,
[final] ).
cnf(c_0_346,plain,
( v3_struct_0(X1)
| m2_nat_lat(esk11_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_181,
[final] ).
cnf(c_0_347,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk12_1(X1)) ),
c_0_182,
[final] ).
cnf(c_0_348,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(esk11_1(X1)) ),
c_0_183,
[final] ).
cnf(c_0_349,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_184,
[final] ).
cnf(c_0_350,plain,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_185,
[final] ).
cnf(c_0_351,plain,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_186,
[final] ).
cnf(c_0_352,plain,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_187,
[final] ).
cnf(c_0_353,plain,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_188,
[final] ).
cnf(c_0_354,plain,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_189,
[final] ).
cnf(c_0_355,plain,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_190,
[final] ).
cnf(c_0_356,plain,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_191,
[final] ).
cnf(c_0_357,plain,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_192,
[final] ).
cnf(c_0_358,plain,
( v3_struct_0(X1)
| v3_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_193,
[final] ).
cnf(c_0_359,plain,
( v3_struct_0(X1)
| v4_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_194,
[final] ).
cnf(c_0_360,plain,
( v3_struct_0(X1)
| v5_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_195,
[final] ).
cnf(c_0_361,plain,
( v3_struct_0(X1)
| v6_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_196,
[final] ).
cnf(c_0_362,plain,
( v3_struct_0(X1)
| v7_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_197,
[final] ).
cnf(c_0_363,plain,
( v3_struct_0(X1)
| v8_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_198,
[final] ).
cnf(c_0_364,plain,
( v3_struct_0(X1)
| v9_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_199,
[final] ).
cnf(c_0_365,plain,
( v3_struct_0(X1)
| v10_lattices(esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_200,
[final] ).
cnf(c_0_366,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk3_1(X1)) ),
c_0_201,
[final] ).
cnf(c_0_367,plain,
m1_subset_1(esk8_1(X1),k1_zfmisc_1(X1)),
c_0_202,
[final] ).
cnf(c_0_368,plain,
( v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
c_0_203,
[final] ).
cnf(c_0_369,plain,
( v1_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
c_0_204,
[final] ).
cnf(c_0_370,plain,
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
c_0_205,
[final] ).
cnf(c_0_371,plain,
m1_subset_1(esk21_1(X1),X1),
c_0_206,
[final] ).
cnf(c_0_372,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_207,
[final] ).
cnf(c_0_373,plain,
v1_xboole_0(esk8_1(X1)),
c_0_208,
[final] ).
cnf(c_0_374,plain,
~ v3_struct_0(esk17_0),
c_0_209,
[final] ).
cnf(c_0_375,plain,
~ v3_struct_0(esk16_0),
c_0_210,
[final] ).
cnf(c_0_376,plain,
~ v3_struct_0(esk15_0),
c_0_211,
[final] ).
cnf(c_0_377,plain,
~ v3_struct_0(esk14_0),
c_0_212,
[final] ).
cnf(c_0_378,plain,
~ v1_xboole_0(esk7_0),
c_0_213,
[final] ).
cnf(c_0_379,plain,
~ v3_struct_0(esk4_0),
c_0_214,
[final] ).
cnf(c_0_380,plain,
~ v3_struct_0(esk2_0),
c_0_215,
[final] ).
cnf(c_0_381,plain,
~ v3_struct_0(esk1_0),
c_0_216,
[final] ).
cnf(c_0_382,plain,
l1_lattices(esk26_0),
c_0_217,
[final] ).
cnf(c_0_383,plain,
l1_struct_0(esk25_0),
c_0_218,
[final] ).
cnf(c_0_384,plain,
l2_lattices(esk24_0),
c_0_219,
[final] ).
cnf(c_0_385,plain,
l3_lattices(esk23_0),
c_0_220,
[final] ).
cnf(c_0_386,plain,
l3_lattices(esk17_0),
c_0_221,
[final] ).
cnf(c_0_387,plain,
v3_lattices(esk17_0),
c_0_222,
[final] ).
cnf(c_0_388,plain,
v4_lattices(esk17_0),
c_0_223,
[final] ).
cnf(c_0_389,plain,
v5_lattices(esk17_0),
c_0_224,
[final] ).
cnf(c_0_390,plain,
v6_lattices(esk17_0),
c_0_225,
[final] ).
cnf(c_0_391,plain,
v7_lattices(esk17_0),
c_0_226,
[final] ).
cnf(c_0_392,plain,
v8_lattices(esk17_0),
c_0_227,
[final] ).
cnf(c_0_393,plain,
v9_lattices(esk17_0),
c_0_228,
[final] ).
cnf(c_0_394,plain,
v10_lattices(esk17_0),
c_0_229,
[final] ).
cnf(c_0_395,plain,
v11_lattices(esk17_0),
c_0_230,
[final] ).
cnf(c_0_396,plain,
v12_lattices(esk17_0),
c_0_231,
[final] ).
cnf(c_0_397,plain,
v13_lattices(esk17_0),
c_0_232,
[final] ).
cnf(c_0_398,plain,
v14_lattices(esk17_0),
c_0_233,
[final] ).
cnf(c_0_399,plain,
l3_lattices(esk16_0),
c_0_234,
[final] ).
cnf(c_0_400,plain,
v3_lattices(esk16_0),
c_0_235,
[final] ).
cnf(c_0_401,plain,
v4_lattices(esk16_0),
c_0_236,
[final] ).
cnf(c_0_402,plain,
v5_lattices(esk16_0),
c_0_237,
[final] ).
cnf(c_0_403,plain,
v6_lattices(esk16_0),
c_0_238,
[final] ).
cnf(c_0_404,plain,
v7_lattices(esk16_0),
c_0_239,
[final] ).
cnf(c_0_405,plain,
v8_lattices(esk16_0),
c_0_240,
[final] ).
cnf(c_0_406,plain,
v9_lattices(esk16_0),
c_0_241,
[final] ).
cnf(c_0_407,plain,
v10_lattices(esk16_0),
c_0_242,
[final] ).
cnf(c_0_408,plain,
v13_lattices(esk16_0),
c_0_243,
[final] ).
cnf(c_0_409,plain,
v14_lattices(esk16_0),
c_0_244,
[final] ).
cnf(c_0_410,plain,
v15_lattices(esk16_0),
c_0_245,
[final] ).
cnf(c_0_411,plain,
l3_lattices(esk15_0),
c_0_246,
[final] ).
cnf(c_0_412,plain,
v3_lattices(esk15_0),
c_0_247,
[final] ).
cnf(c_0_413,plain,
v4_lattices(esk15_0),
c_0_248,
[final] ).
cnf(c_0_414,plain,
v5_lattices(esk15_0),
c_0_249,
[final] ).
cnf(c_0_415,plain,
v6_lattices(esk15_0),
c_0_250,
[final] ).
cnf(c_0_416,plain,
v7_lattices(esk15_0),
c_0_251,
[final] ).
cnf(c_0_417,plain,
v8_lattices(esk15_0),
c_0_252,
[final] ).
cnf(c_0_418,plain,
v9_lattices(esk15_0),
c_0_253,
[final] ).
cnf(c_0_419,plain,
v10_lattices(esk15_0),
c_0_254,
[final] ).
cnf(c_0_420,plain,
v13_lattices(esk15_0),
c_0_255,
[final] ).
cnf(c_0_421,plain,
v14_lattices(esk15_0),
c_0_256,
[final] ).
cnf(c_0_422,plain,
v15_lattices(esk15_0),
c_0_257,
[final] ).
cnf(c_0_423,plain,
v16_lattices(esk15_0),
c_0_258,
[final] ).
cnf(c_0_424,plain,
l3_lattices(esk14_0),
c_0_259,
[final] ).
cnf(c_0_425,plain,
v3_lattices(esk14_0),
c_0_260,
[final] ).
cnf(c_0_426,plain,
v4_lattices(esk14_0),
c_0_261,
[final] ).
cnf(c_0_427,plain,
v5_lattices(esk14_0),
c_0_262,
[final] ).
cnf(c_0_428,plain,
v6_lattices(esk14_0),
c_0_263,
[final] ).
cnf(c_0_429,plain,
v7_lattices(esk14_0),
c_0_264,
[final] ).
cnf(c_0_430,plain,
v8_lattices(esk14_0),
c_0_265,
[final] ).
cnf(c_0_431,plain,
v9_lattices(esk14_0),
c_0_266,
[final] ).
cnf(c_0_432,plain,
v10_lattices(esk14_0),
c_0_267,
[final] ).
cnf(c_0_433,plain,
v11_lattices(esk14_0),
c_0_268,
[final] ).
cnf(c_0_434,plain,
v13_lattices(esk14_0),
c_0_269,
[final] ).
cnf(c_0_435,plain,
v14_lattices(esk14_0),
c_0_270,
[final] ).
cnf(c_0_436,plain,
v15_lattices(esk14_0),
c_0_271,
[final] ).
cnf(c_0_437,plain,
v16_lattices(esk14_0),
c_0_272,
[final] ).
cnf(c_0_438,plain,
v17_lattices(esk14_0),
c_0_273,
[final] ).
cnf(c_0_439,plain,
v1_relat_1(esk13_0),
c_0_274,
[final] ).
cnf(c_0_440,plain,
v1_funct_1(esk13_0),
c_0_275,
[final] ).
cnf(c_0_441,plain,
v1_xboole_0(esk10_0),
c_0_276,
[final] ).
cnf(c_0_442,plain,
v1_relat_1(esk9_0),
c_0_277,
[final] ).
cnf(c_0_443,plain,
v1_xboole_0(esk9_0),
c_0_278,
[final] ).
cnf(c_0_444,plain,
v1_funct_1(esk9_0),
c_0_279,
[final] ).
cnf(c_0_445,plain,
v1_relat_1(esk6_0),
c_0_280,
[final] ).
cnf(c_0_446,plain,
v1_funct_1(esk6_0),
c_0_281,
[final] ).
cnf(c_0_447,plain,
v2_funct_1(esk6_0),
c_0_282,
[final] ).
cnf(c_0_448,plain,
l3_lattices(esk5_0),
c_0_283,
[final] ).
cnf(c_0_449,plain,
v3_lattices(esk5_0),
c_0_284,
[final] ).
cnf(c_0_450,plain,
l1_struct_0(esk4_0),
c_0_285,
[final] ).
cnf(c_0_451,plain,
l3_lattices(esk2_0),
c_0_286,
[final] ).
cnf(c_0_452,plain,
v3_lattices(esk2_0),
c_0_287,
[final] ).
cnf(c_0_453,plain,
l3_lattices(esk1_0),
c_0_288,
[final] ).
cnf(c_0_454,plain,
v3_lattices(esk1_0),
c_0_289,
[final] ).
cnf(c_0_455,plain,
v4_lattices(esk1_0),
c_0_290,
[final] ).
cnf(c_0_456,plain,
v5_lattices(esk1_0),
c_0_291,
[final] ).
cnf(c_0_457,plain,
v6_lattices(esk1_0),
c_0_292,
[final] ).
cnf(c_0_458,plain,
v7_lattices(esk1_0),
c_0_293,
[final] ).
cnf(c_0_459,plain,
v8_lattices(esk1_0),
c_0_294,
[final] ).
cnf(c_0_460,plain,
v9_lattices(esk1_0),
c_0_295,
[final] ).
cnf(c_0_461,plain,
v10_lattices(esk1_0),
c_0_296,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_297_0,axiom,
( v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_1,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_2,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_3,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_4,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_5,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_7,axiom,
( ~ v3_struct_0(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_298_0,axiom,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_1,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_2,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_3,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_4,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_5,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_7,axiom,
( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_299_0,axiom,
( X3 = X5
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_1,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_2,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_3,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_4,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_5,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_7,axiom,
( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_300_0,axiom,
( X1 = X6
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_1,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_2,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_3,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_4,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_5,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_7,axiom,
( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_301_0,axiom,
( v1_xboole_0(X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_1,axiom,
( v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_4,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_5,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_6,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_7,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_302_0,axiom,
( v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_1,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_2,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_3,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_4,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_5,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_302_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_303_0,axiom,
( l3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_1,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_2,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_3,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_4,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_5,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_304_0,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_6,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_7,axiom,
( ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_8,axiom,
( ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_9,axiom,
( ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_10,axiom,
( ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_11,axiom,
( ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_12,axiom,
( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_305_0,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_2,axiom,
( v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_3,axiom,
( ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_5,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_6,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_8,axiom,
( ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_9,axiom,
( ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_10,axiom,
( ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_11,axiom,
( ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_12,axiom,
( ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_306_0,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_2,axiom,
( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_3,axiom,
( ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_5,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_6,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_8,axiom,
( ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_9,axiom,
( ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_10,axiom,
( ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_11,axiom,
( ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_12,axiom,
( ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_307_0,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_2,axiom,
( v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_3,axiom,
( ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_5,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_6,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_8,axiom,
( ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_9,axiom,
( ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_10,axiom,
( ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_11,axiom,
( ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_12,axiom,
( ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_308_0,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_2,axiom,
( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_3,axiom,
( ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_5,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_6,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_8,axiom,
( ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_9,axiom,
( ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_10,axiom,
( ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_11,axiom,
( ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_12,axiom,
( ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_309_0,axiom,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_1,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_2,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_3,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_5,axiom,
( ~ v1_xboole_0(k22_filter_2(X2,X3,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_310_0,axiom,
( v3_struct_0(X2)
| r1_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_1,axiom,
( r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_3,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_4,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_5,axiom,
( ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_6,axiom,
( ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_7,axiom,
( ~ v6_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_8,axiom,
( ~ r3_lattices(X2,X3,X1)
| ~ v6_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r1_lattices(X2,X3,X1)
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_311_0,axiom,
( v3_struct_0(X2)
| r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_1,axiom,
( r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_3,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_4,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_5,axiom,
( ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_6,axiom,
( ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_7,axiom,
( ~ v6_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_8,axiom,
( ~ r1_lattices(X2,X3,X1)
| ~ v6_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,X3,X1)
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_312_0,axiom,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_1,axiom,
( m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_3,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_4,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_313_0,axiom,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_1,axiom,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_2,axiom,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_3,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_314_0,axiom,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_1,axiom,
( v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_2,axiom,
( ~ l2_lattices(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_3,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_315_0,axiom,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_1,axiom,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_2,axiom,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_3,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_316_0,axiom,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_1,axiom,
( v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_2,axiom,
( ~ l2_lattices(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_3,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_317_0,axiom,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_1,axiom,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_2,axiom,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_3,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_318_0,axiom,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_1,axiom,
( v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_2,axiom,
( ~ l1_lattices(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_3,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_319_0,axiom,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_1,axiom,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_2,axiom,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_320_0,axiom,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_1,axiom,
( v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_2,axiom,
( ~ l1_lattices(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_321_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k23_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k23_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_2,axiom,
( ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k23_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_3,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k23_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v3_struct_0(k23_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_5,axiom,
( ~ v3_struct_0(k23_filter_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_322_0,axiom,
( v11_lattices(k23_filter_2(X1,X2))
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_1,axiom,
( v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_2,axiom,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2))
| ~ v11_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_3,axiom,
( ~ v11_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2))
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_4,axiom,
( ~ m2_lattice4(X2,X1)
| ~ v11_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_5,axiom,
( ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ v11_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2))
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_6,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ v11_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| v11_lattices(k23_filter_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_325_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v3_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| v3_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_2,axiom,
( v3_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_3,axiom,
( ~ m2_lattice4(X1,X2)
| v3_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_4,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_326_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v4_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| v4_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_2,axiom,
( v4_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_3,axiom,
( ~ m2_lattice4(X1,X2)
| v4_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_4,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v4_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v4_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_327_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v5_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| v5_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_2,axiom,
( v5_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_3,axiom,
( ~ m2_lattice4(X1,X2)
| v5_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_4,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v5_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v5_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_328_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v6_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| v6_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_2,axiom,
( v6_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_3,axiom,
( ~ m2_lattice4(X1,X2)
| v6_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_4,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v6_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v6_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_329_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v7_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| v7_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_2,axiom,
( v7_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_3,axiom,
( ~ m2_lattice4(X1,X2)
| v7_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_4,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v7_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_329_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v7_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_330_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v8_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| v8_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_2,axiom,
( v8_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_3,axiom,
( ~ m2_lattice4(X1,X2)
| v8_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_4,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v8_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_330_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v8_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_331_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v9_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| v9_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_2,axiom,
( v9_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_3,axiom,
( ~ m2_lattice4(X1,X2)
| v9_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_4,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v9_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_331_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v9_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_332_0,axiom,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v10_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_1,axiom,
( v3_struct_0(X2)
| v1_xboole_0(X1)
| v10_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_2,axiom,
( v10_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_3,axiom,
( ~ m2_lattice4(X1,X2)
| v10_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_4,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v10_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_332_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v10_lattices(k23_filter_2(X2,X1))
| v3_struct_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_333_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_1,axiom,
( v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_2,axiom,
( ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_3,axiom,
( ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_333_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_334_0,axiom,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_1,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_2,axiom,
( ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_335_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk3_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_1,axiom,
( m1_subset_1(sk2_esk3_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_2,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk2_esk3_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_336_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1)
| ~ v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1)
| ~ v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ m2_nat_lat(X2,X1)
| ~ v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_3,axiom,
( ~ m2_nat_lat(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_4,axiom,
( ~ v3_struct_0(X2)
| ~ m2_nat_lat(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_337_0,axiom,
( v3_struct_0(X1)
| v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_1,axiom,
( v10_lattices(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_2,axiom,
( ~ l3_lattices(X1)
| v10_lattices(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(X2)
| v3_struct_0(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_4,axiom,
( ~ m2_nat_lat(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_338_0,axiom,
( v3_struct_0(X1)
| l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_1,axiom,
( l3_lattices(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_2,axiom,
( ~ l3_lattices(X1)
| l3_lattices(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(X2)
| v3_struct_0(X1)
| ~ m2_nat_lat(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_4,axiom,
( ~ m2_nat_lat(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_339_0,axiom,
( v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_1,axiom,
( v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_2,axiom,
( ~ l2_lattices(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_3,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_340_0,axiom,
( v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_1,axiom,
( v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_2,axiom,
( ~ l2_lattices(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_3,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_341_0,axiom,
( v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_1,axiom,
( v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_2,axiom,
( ~ l1_lattices(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_3,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_342_0,axiom,
( v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_1,axiom,
( v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_2,axiom,
( ~ l1_lattices(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_343_0,axiom,
( m2_lattice4(sk2_esk20_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_1,axiom,
( v3_struct_0(X1)
| m2_lattice4(sk2_esk20_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(sk2_esk20_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(sk2_esk20_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_344_0,axiom,
( m2_nat_lat(sk2_esk19_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_1,axiom,
( v3_struct_0(X1)
| m2_nat_lat(sk2_esk19_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_nat_lat(sk2_esk19_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_nat_lat(sk2_esk19_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_345_0,axiom,
( v3_struct_0(X1)
| m2_lattice4(sk2_esk12_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_1,axiom,
( m2_lattice4(sk2_esk12_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_2,axiom,
( ~ l3_lattices(X1)
| m2_lattice4(sk2_esk12_1(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(sk2_esk12_1(X1),X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_346_0,axiom,
( v3_struct_0(X1)
| m2_nat_lat(sk2_esk11_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_1,axiom,
( m2_nat_lat(sk2_esk11_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_2,axiom,
( ~ l3_lattices(X1)
| m2_nat_lat(sk2_esk11_1(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_nat_lat(sk2_esk11_1(X1),X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_347_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sk2_esk12_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sk2_esk12_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk12_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_3,axiom,
( ~ v1_xboole_0(sk2_esk12_1(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_348_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(sk2_esk11_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(sk2_esk11_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(sk2_esk11_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_3,axiom,
( ~ v3_struct_0(sk2_esk11_1(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_349_0,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_1,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_350_0,axiom,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_1,axiom,
( v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_2,axiom,
( ~ l2_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_3,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_351_0,axiom,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_1,axiom,
( v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_2,axiom,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_3,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_352_0,axiom,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_1,axiom,
( v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_2,axiom,
( ~ l2_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_3,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_353_0,axiom,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_1,axiom,
( v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_2,axiom,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_3,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_354_0,axiom,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_354_1,axiom,
( v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_354_2,axiom,
( ~ l1_lattices(X1)
| v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_354_3,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_355_0,axiom,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_355_1,axiom,
( v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_355_2,axiom,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_355_3,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_356_0,axiom,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_356_1,axiom,
( v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_356_2,axiom,
( ~ l1_lattices(X1)
| v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_356_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_357_0,axiom,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_357_1,axiom,
( v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_357_2,axiom,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_357_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_358_0,axiom,
( v3_struct_0(X1)
| v3_lattices(sk2_esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_358_1,axiom,
( v3_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_358_2,axiom,
( ~ l3_lattices(X1)
| v3_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_358_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_359_0,axiom,
( v3_struct_0(X1)
| v4_lattices(sk2_esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_359_1,axiom,
( v4_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_359_2,axiom,
( ~ l3_lattices(X1)
| v4_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_359_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v4_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_360_0,axiom,
( v3_struct_0(X1)
| v5_lattices(sk2_esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_360_1,axiom,
( v5_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_360_2,axiom,
( ~ l3_lattices(X1)
| v5_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_360_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v5_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_361_0,axiom,
( v3_struct_0(X1)
| v6_lattices(sk2_esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_361_1,axiom,
( v6_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_361_2,axiom,
( ~ l3_lattices(X1)
| v6_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_361_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v6_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_362_0,axiom,
( v3_struct_0(X1)
| v7_lattices(sk2_esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_362_1,axiom,
( v7_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_362_2,axiom,
( ~ l3_lattices(X1)
| v7_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_362_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v7_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_363_0,axiom,
( v3_struct_0(X1)
| v8_lattices(sk2_esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_363_1,axiom,
( v8_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_363_2,axiom,
( ~ l3_lattices(X1)
| v8_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_363_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v8_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_364_0,axiom,
( v3_struct_0(X1)
| v9_lattices(sk2_esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_364_1,axiom,
( v9_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_364_2,axiom,
( ~ l3_lattices(X1)
| v9_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_364_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v9_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_365_0,axiom,
( v3_struct_0(X1)
| v10_lattices(sk2_esk11_1(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_365_1,axiom,
( v10_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_365_2,axiom,
( ~ l3_lattices(X1)
| v10_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_365_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(sk2_esk11_1(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_366_0,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_366_1,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_366_2,axiom,
( ~ v1_xboole_0(sk2_esk3_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_368_0,axiom,
( v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_368_1,axiom,
( ~ v1_funct_1(X1)
| v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_368_2,axiom,
( ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v1_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_368_3,axiom,
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_369_0,axiom,
( v1_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_369_1,axiom,
( ~ v1_funct_1(X1)
| v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_369_2,axiom,
( ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_369_3,axiom,
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_370_0,axiom,
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_370_1,axiom,
( ~ v1_funct_1(X1)
| v2_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_370_2,axiom,
( ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v2_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_370_3,axiom,
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_372_0,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_372_1,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_372_2,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_374_0,axiom,
~ v3_struct_0(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_374]) ).
cnf(c_0_375_0,axiom,
~ v3_struct_0(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_375]) ).
cnf(c_0_376_0,axiom,
~ v3_struct_0(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_376]) ).
cnf(c_0_377_0,axiom,
~ v3_struct_0(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_377]) ).
cnf(c_0_378_0,axiom,
~ v1_xboole_0(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_378]) ).
cnf(c_0_379_0,axiom,
~ v3_struct_0(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_379]) ).
cnf(c_0_380_0,axiom,
~ v3_struct_0(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_381_0,axiom,
~ v3_struct_0(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_323_0,axiom,
m1_relset_1(sk2_esk22_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_324_0,axiom,
m2_relset_1(sk2_esk18_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_367_0,axiom,
m1_subset_1(sk2_esk8_1(X1),k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_367]) ).
cnf(c_0_371_0,axiom,
m1_subset_1(sk2_esk21_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_371]) ).
cnf(c_0_373_0,axiom,
v1_xboole_0(sk2_esk8_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_373]) ).
cnf(c_0_382_0,axiom,
l1_lattices(sk2_esk26_0),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_383_0,axiom,
l1_struct_0(sk2_esk25_0),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_384_0,axiom,
l2_lattices(sk2_esk24_0),
inference(literals_permutation,[status(thm)],[c_0_384]) ).
cnf(c_0_385_0,axiom,
l3_lattices(sk2_esk23_0),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_386_0,axiom,
l3_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_387_0,axiom,
v3_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_388_0,axiom,
v4_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_389_0,axiom,
v5_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_390_0,axiom,
v6_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_391_0,axiom,
v7_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_392_0,axiom,
v8_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_393_0,axiom,
v9_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_393]) ).
cnf(c_0_394_0,axiom,
v10_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_395_0,axiom,
v11_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_396_0,axiom,
v12_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_397_0,axiom,
v13_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_398_0,axiom,
v14_lattices(sk2_esk17_0),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_399_0,axiom,
l3_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
cnf(c_0_400_0,axiom,
v3_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_400]) ).
cnf(c_0_401_0,axiom,
v4_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_401]) ).
cnf(c_0_402_0,axiom,
v5_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_402]) ).
cnf(c_0_403_0,axiom,
v6_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_404_0,axiom,
v7_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_404]) ).
cnf(c_0_405_0,axiom,
v8_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_405]) ).
cnf(c_0_406_0,axiom,
v9_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_406]) ).
cnf(c_0_407_0,axiom,
v10_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_407]) ).
cnf(c_0_408_0,axiom,
v13_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_408]) ).
cnf(c_0_409_0,axiom,
v14_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_409]) ).
cnf(c_0_410_0,axiom,
v15_lattices(sk2_esk16_0),
inference(literals_permutation,[status(thm)],[c_0_410]) ).
cnf(c_0_411_0,axiom,
l3_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_411]) ).
cnf(c_0_412_0,axiom,
v3_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_412]) ).
cnf(c_0_413_0,axiom,
v4_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_413]) ).
cnf(c_0_414_0,axiom,
v5_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_415_0,axiom,
v6_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_415]) ).
cnf(c_0_416_0,axiom,
v7_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_416]) ).
cnf(c_0_417_0,axiom,
v8_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_417]) ).
cnf(c_0_418_0,axiom,
v9_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_418]) ).
cnf(c_0_419_0,axiom,
v10_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_419]) ).
cnf(c_0_420_0,axiom,
v13_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_420]) ).
cnf(c_0_421_0,axiom,
v14_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_421]) ).
cnf(c_0_422_0,axiom,
v15_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_422]) ).
cnf(c_0_423_0,axiom,
v16_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_423]) ).
cnf(c_0_424_0,axiom,
l3_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_424]) ).
cnf(c_0_425_0,axiom,
v3_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_425]) ).
cnf(c_0_426_0,axiom,
v4_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_426]) ).
cnf(c_0_427_0,axiom,
v5_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_427]) ).
cnf(c_0_428_0,axiom,
v6_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_428]) ).
cnf(c_0_429_0,axiom,
v7_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_429]) ).
cnf(c_0_430_0,axiom,
v8_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_430]) ).
cnf(c_0_431_0,axiom,
v9_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_431]) ).
cnf(c_0_432_0,axiom,
v10_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_432]) ).
cnf(c_0_433_0,axiom,
v11_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_433]) ).
cnf(c_0_434_0,axiom,
v13_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_434]) ).
cnf(c_0_435_0,axiom,
v14_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_435]) ).
cnf(c_0_436_0,axiom,
v15_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_436]) ).
cnf(c_0_437_0,axiom,
v16_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_437]) ).
cnf(c_0_438_0,axiom,
v17_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_438]) ).
cnf(c_0_439_0,axiom,
v1_relat_1(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_439]) ).
cnf(c_0_440_0,axiom,
v1_funct_1(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_440]) ).
cnf(c_0_441_0,axiom,
v1_xboole_0(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_441]) ).
cnf(c_0_442_0,axiom,
v1_relat_1(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_442]) ).
cnf(c_0_443_0,axiom,
v1_xboole_0(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_443]) ).
cnf(c_0_444_0,axiom,
v1_funct_1(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_444]) ).
cnf(c_0_445_0,axiom,
v1_relat_1(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_445]) ).
cnf(c_0_446_0,axiom,
v1_funct_1(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_446]) ).
cnf(c_0_447_0,axiom,
v2_funct_1(sk2_esk6_0),
inference(literals_permutation,[status(thm)],[c_0_447]) ).
cnf(c_0_448_0,axiom,
l3_lattices(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_448]) ).
cnf(c_0_449_0,axiom,
v3_lattices(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_449]) ).
cnf(c_0_450_0,axiom,
l1_struct_0(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_450]) ).
cnf(c_0_451_0,axiom,
l3_lattices(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_451]) ).
cnf(c_0_452_0,axiom,
v3_lattices(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_452]) ).
cnf(c_0_453_0,axiom,
l3_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_453]) ).
cnf(c_0_454_0,axiom,
v3_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_454]) ).
cnf(c_0_455_0,axiom,
v4_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_455]) ).
cnf(c_0_456_0,axiom,
v5_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_456]) ).
cnf(c_0_457_0,axiom,
v6_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_457]) ).
cnf(c_0_458_0,axiom,
v7_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_458]) ).
cnf(c_0_459_0,axiom,
v8_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_459]) ).
cnf(c_0_460_0,axiom,
v9_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_460]) ).
cnf(c_0_461_0,axiom,
v10_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_461]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_261,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('<stdin>',t87_filter_2) ).
fof(c_0_1_262,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_263,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& r3_lattices(esk1_0,esk2_0,esk3_0)
& ( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_264,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_265,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_266,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_267,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_268,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_269,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_270,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10_271,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11_272,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12_273,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13_274,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14_275,negated_conjecture,
( v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
| ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
c_0_3,
[final] ).
cnf(c_0_15_276,negated_conjecture,
r3_lattices(esk1_0,esk2_0,esk3_0),
c_0_4,
[final] ).
cnf(c_0_16_277,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
c_0_5,
[final] ).
cnf(c_0_17_278,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
c_0_6,
[final] ).
cnf(c_0_18_279,negated_conjecture,
~ v3_struct_0(esk1_0),
c_0_7,
[final] ).
cnf(c_0_19_280,negated_conjecture,
~ v3_struct_0(esk1_0),
c_0_8,
[final] ).
cnf(c_0_20_281,negated_conjecture,
v10_lattices(esk1_0),
c_0_9,
[final] ).
cnf(c_0_21_282,negated_conjecture,
l3_lattices(esk1_0),
c_0_10,
[final] ).
cnf(c_0_22_283,negated_conjecture,
v10_lattices(esk1_0),
c_0_11,
[final] ).
cnf(c_0_23_284,negated_conjecture,
v17_lattices(esk1_0),
c_0_12,
[final] ).
cnf(c_0_24_285,negated_conjecture,
l3_lattices(esk1_0),
c_0_13,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_537,plain,
( ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_207_0) ).
cnf(c_1284,plain,
( ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(copy,[status(esa)],[c_537]) ).
cnf(c_56218,plain,
( v3_struct_0(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ l3_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v16_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v15_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v11_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| v17_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))) ),
inference(instantiation,[status(thm)],[c_1284]) ).
cnf(c_93,plain,
( ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_307_0) ).
cnf(c_840,plain,
( ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v16_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_93]) ).
cnf(c_31646,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,X0,sk3_esk3_0)
| ~ v12_lattices(sk3_esk1_0)
| v16_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,X0,sk3_esk3_0)))
| ~ v16_lattices(sk3_esk1_0)
| ~ v15_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_840]) ).
cnf(c_55167,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
| ~ v12_lattices(sk3_esk1_0)
| v16_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v16_lattices(sk3_esk1_0)
| ~ v15_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_31646]) ).
cnf(c_80,plain,
( ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_306_0) ).
cnf(c_827,plain,
( ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v15_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_80]) ).
cnf(c_31604,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,X0,sk3_esk3_0)
| ~ v12_lattices(sk3_esk1_0)
| ~ v16_lattices(sk3_esk1_0)
| v15_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,X0,sk3_esk3_0)))
| ~ v15_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_827]) ).
cnf(c_55151,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
| ~ v12_lattices(sk3_esk1_0)
| ~ v16_lattices(sk3_esk1_0)
| v15_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v15_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_31604]) ).
cnf(c_544,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| m2_nat_lat(k23_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_200_0) ).
cnf(c_1291,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| v1_xboole_0(X1)
| m2_nat_lat(k23_filter_2(X0,X1),X0) ),
inference(copy,[status(esa)],[c_544]) ).
cnf(c_32357,plain,
( v1_xboole_0(k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
| v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m2_lattice4(k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
| m2_nat_lat(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_1291]) ).
cnf(c_193,plain,
( v11_lattices(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_322_6) ).
cnf(c_940,plain,
( v11_lattices(k23_filter_2(X0,X1))
| v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v11_lattices(X0)
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(copy,[status(esa)],[c_193]) ).
cnf(c_32358,plain,
( v1_xboole_0(k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
| v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m2_lattice4(k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
| v11_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v11_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_940]) ).
cnf(c_67,plain,
( ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_305_0) ).
cnf(c_814,plain,
( ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v10_lattices(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_67]) ).
cnf(c_31562,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| v10_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,X0,sk3_esk3_0)))
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,X0,sk3_esk3_0)
| ~ v12_lattices(sk3_esk1_0)
| ~ v16_lattices(sk3_esk1_0)
| ~ v15_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_814]) ).
cnf(c_32285,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| v10_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
| ~ v12_lattices(sk3_esk1_0)
| ~ v16_lattices(sk3_esk1_0)
| ~ v15_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_31562]) ).
cnf(c_54,plain,
( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_304_0) ).
cnf(c_801,plain,
( ~ v3_struct_0(k23_filter_2(X0,k22_filter_2(X0,X1,X2)))
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ v12_lattices(X0)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_54]) ).
cnf(c_31520,plain,
( ~ v3_struct_0(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,X0,sk3_esk3_0)))
| v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,X0,sk3_esk3_0)
| ~ v12_lattices(sk3_esk1_0)
| ~ v16_lattices(sk3_esk1_0)
| ~ v15_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_32208,plain,
( ~ v3_struct_0(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
| ~ v12_lattices(sk3_esk1_0)
| ~ v16_lattices(sk3_esk1_0)
| ~ v15_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_31520]) ).
cnf(c_143,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_312_0) ).
cnf(c_890,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_143]) ).
cnf(c_31421,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| m2_lattice4(k22_filter_2(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_890]) ).
cnf(c_32170,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0))
| m2_lattice4(k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_31421]) ).
cnf(c_119,plain,
( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_309_0) ).
cnf(c_866,plain,
( ~ v1_xboole_0(k22_filter_2(X0,X1,X2))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_119]) ).
cnf(c_31396,plain,
( ~ v1_xboole_0(k22_filter_2(sk3_esk1_0,sk3_esk2_0,X0))
| v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_866]) ).
cnf(c_32158,plain,
( ~ v1_xboole_0(k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))
| v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_31396]) ).
cnf(c_263,plain,
( ~ m2_nat_lat(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(X0)
| v3_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_338_0) ).
cnf(c_1010,plain,
( ~ m2_nat_lat(X0,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| l3_lattices(X0)
| v3_struct_0(X1) ),
inference(copy,[status(esa)],[c_263]) ).
cnf(c_16310,plain,
( v3_struct_0(X0)
| l3_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_nat_lat(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)),X0) ),
inference(instantiation,[status(thm)],[c_1010]) ).
cnf(c_16311,plain,
( v3_struct_0(sk3_esk1_0)
| l3_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m2_nat_lat(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_16310]) ).
cnf(c_512,plain,
( ~ v17_lattices(X0)
| v16_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_232_0) ).
cnf(c_597,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| v16_lattices(sk3_esk1_0)
| ~ v17_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_512]) ).
cnf(c_514,plain,
( ~ v17_lattices(X0)
| v14_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_230_0) ).
cnf(c_595,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| v14_lattices(sk3_esk1_0)
| ~ v17_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_514]) ).
cnf(c_515,plain,
( ~ v17_lattices(X0)
| v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_229_0) ).
cnf(c_594,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| v13_lattices(sk3_esk1_0)
| ~ v17_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_515]) ).
cnf(c_516,plain,
( ~ v17_lattices(X0)
| v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_228_0) ).
cnf(c_593,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| v11_lattices(sk3_esk1_0)
| ~ v17_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_516]) ).
cnf(c_522,plain,
( ~ v13_lattices(X0)
| ~ v14_lattices(X0)
| v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_222_0) ).
cnf(c_590,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| v15_lattices(sk3_esk1_0)
| ~ v13_lattices(sk3_esk1_0)
| ~ v14_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_522]) ).
cnf(c_523,plain,
( ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| v12_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_221_0) ).
cnf(c_589,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| v12_lattices(sk3_esk1_0)
| ~ v11_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_555,negated_conjecture,
( v3_struct_0(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ l3_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v10_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)))
| ~ v17_lattices(k23_filter_2(sk3_esk1_0,k22_filter_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0))) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_14) ).
cnf(c_557,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_19) ).
cnf(c_558,negated_conjecture,
r3_lattices(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_15) ).
cnf(c_559,negated_conjecture,
m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_16) ).
cnf(c_560,negated_conjecture,
m1_subset_1(sk3_esk3_0,u1_struct_0(sk3_esk1_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_17) ).
cnf(c_563,negated_conjecture,
v10_lattices(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_22) ).
cnf(c_564,negated_conjecture,
v17_lattices(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_23) ).
cnf(c_565,negated_conjecture,
l3_lattices(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_baddf1.p',c_0_24) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_56218,c_55167,c_55151,c_32357,c_32358,c_32285,c_32208,c_32170,c_32158,c_16311,c_597,c_595,c_594,c_593,c_590,c_589,c_555,c_557,c_558,c_559,c_560,c_563,c_564,c_565]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 02:18:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.42 % FOF problem with conjecture
% 0.19/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_01a216.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_baddf1.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_7ce8ea | grep -v "SZS"
% 0.19/0.44
% 0.19/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.44
% 0.19/0.44 %
% 0.19/0.44 % ------ iProver source info
% 0.19/0.44
% 0.19/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.44 % git: non_committed_changes: true
% 0.19/0.44 % git: last_make_outside_of_git: true
% 0.19/0.44
% 0.19/0.44 %
% 0.19/0.44 % ------ Input Options
% 0.19/0.44
% 0.19/0.44 % --out_options all
% 0.19/0.44 % --tptp_safe_out true
% 0.19/0.44 % --problem_path ""
% 0.19/0.44 % --include_path ""
% 0.19/0.44 % --clausifier .//eprover
% 0.19/0.44 % --clausifier_options --tstp-format
% 0.19/0.44 % --stdin false
% 0.19/0.44 % --dbg_backtrace false
% 0.19/0.44 % --dbg_dump_prop_clauses false
% 0.19/0.44 % --dbg_dump_prop_clauses_file -
% 0.19/0.44 % --dbg_out_stat false
% 0.19/0.44
% 0.19/0.44 % ------ General Options
% 0.19/0.44
% 0.19/0.44 % --fof false
% 0.19/0.44 % --time_out_real 150.
% 0.19/0.44 % --time_out_prep_mult 0.2
% 0.19/0.44 % --time_out_virtual -1.
% 0.19/0.44 % --schedule none
% 0.19/0.44 % --ground_splitting input
% 0.19/0.44 % --splitting_nvd 16
% 0.19/0.44 % --non_eq_to_eq false
% 0.19/0.44 % --prep_gs_sim true
% 0.19/0.44 % --prep_unflatten false
% 0.19/0.44 % --prep_res_sim true
% 0.19/0.44 % --prep_upred true
% 0.19/0.44 % --res_sim_input true
% 0.19/0.44 % --clause_weak_htbl true
% 0.19/0.44 % --gc_record_bc_elim false
% 0.19/0.44 % --symbol_type_check false
% 0.19/0.44 % --clausify_out false
% 0.19/0.44 % --large_theory_mode false
% 0.19/0.44 % --prep_sem_filter none
% 0.19/0.44 % --prep_sem_filter_out false
% 0.19/0.44 % --preprocessed_out false
% 0.19/0.44 % --sub_typing false
% 0.19/0.44 % --brand_transform false
% 0.19/0.44 % --pure_diseq_elim true
% 0.19/0.44 % --min_unsat_core false
% 0.19/0.44 % --pred_elim true
% 0.19/0.44 % --add_important_lit false
% 0.19/0.44 % --soft_assumptions false
% 0.19/0.44 % --reset_solvers false
% 0.19/0.44 % --bc_imp_inh []
% 0.19/0.44 % --conj_cone_tolerance 1.5
% 0.19/0.44 % --prolific_symb_bound 500
% 0.19/0.44 % --lt_threshold 2000
% 0.19/0.44
% 0.19/0.44 % ------ SAT Options
% 0.19/0.44
% 0.19/0.44 % --sat_mode false
% 0.19/0.44 % --sat_fm_restart_options ""
% 0.19/0.44 % --sat_gr_def false
% 0.19/0.44 % --sat_epr_types true
% 0.19/0.44 % --sat_non_cyclic_types false
% 0.19/0.44 % --sat_finite_models false
% 0.19/0.44 % --sat_fm_lemmas false
% 0.19/0.44 % --sat_fm_prep false
% 0.19/0.44 % --sat_fm_uc_incr true
% 0.19/0.44 % --sat_out_model small
% 0.19/0.44 % --sat_out_clauses false
% 0.19/0.44
% 0.19/0.44 % ------ QBF Options
% 0.19/0.44
% 0.19/0.44 % --qbf_mode false
% 0.19/0.44 % --qbf_elim_univ true
% 0.19/0.44 % --qbf_sk_in true
% 0.19/0.44 % --qbf_pred_elim true
% 0.19/0.44 % --qbf_split 32
% 0.19/0.44
% 0.19/0.44 % ------ BMC1 Options
% 0.19/0.44
% 0.19/0.44 % --bmc1_incremental false
% 0.19/0.44 % --bmc1_axioms reachable_all
% 0.19/0.44 % --bmc1_min_bound 0
% 0.19/0.44 % --bmc1_max_bound -1
% 0.19/0.44 % --bmc1_max_bound_default -1
% 0.19/0.44 % --bmc1_symbol_reachability true
% 0.19/0.44 % --bmc1_property_lemmas false
% 0.19/0.44 % --bmc1_k_induction false
% 0.19/0.44 % --bmc1_non_equiv_states false
% 0.19/0.44 % --bmc1_deadlock false
% 0.19/0.44 % --bmc1_ucm false
% 0.19/0.44 % --bmc1_add_unsat_core none
% 0.19/0.44 % --bmc1_unsat_core_children false
% 0.19/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.44 % --bmc1_out_stat full
% 0.19/0.44 % --bmc1_ground_init false
% 0.19/0.44 % --bmc1_pre_inst_next_state false
% 0.19/0.44 % --bmc1_pre_inst_state false
% 0.19/0.44 % --bmc1_pre_inst_reach_state false
% 0.19/0.44 % --bmc1_out_unsat_core false
% 0.19/0.44 % --bmc1_aig_witness_out false
% 0.19/0.44 % --bmc1_verbose false
% 0.19/0.44 % --bmc1_dump_clauses_tptp false
% 0.19/0.51 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.51 % --bmc1_dump_file -
% 0.19/0.51 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.51 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.51 % --bmc1_ucm_extend_mode 1
% 0.19/0.51 % --bmc1_ucm_init_mode 2
% 0.19/0.51 % --bmc1_ucm_cone_mode none
% 0.19/0.51 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.51 % --bmc1_ucm_relax_model 4
% 0.19/0.51 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.51 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.51 % --bmc1_ucm_layered_model none
% 0.19/0.51 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.51
% 0.19/0.51 % ------ AIG Options
% 0.19/0.51
% 0.19/0.51 % --aig_mode false
% 0.19/0.51
% 0.19/0.51 % ------ Instantiation Options
% 0.19/0.51
% 0.19/0.51 % --instantiation_flag true
% 0.19/0.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.51 % --inst_solver_per_active 750
% 0.19/0.51 % --inst_solver_calls_frac 0.5
% 0.19/0.51 % --inst_passive_queue_type priority_queues
% 0.19/0.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.51 % --inst_passive_queues_freq [25;2]
% 0.19/0.51 % --inst_dismatching true
% 0.19/0.51 % --inst_eager_unprocessed_to_passive true
% 0.19/0.51 % --inst_prop_sim_given true
% 0.19/0.51 % --inst_prop_sim_new false
% 0.19/0.51 % --inst_orphan_elimination true
% 0.19/0.51 % --inst_learning_loop_flag true
% 0.19/0.51 % --inst_learning_start 3000
% 0.19/0.51 % --inst_learning_factor 2
% 0.19/0.51 % --inst_start_prop_sim_after_learn 3
% 0.19/0.51 % --inst_sel_renew solver
% 0.19/0.51 % --inst_lit_activity_flag true
% 0.19/0.51 % --inst_out_proof true
% 0.19/0.51
% 0.19/0.51 % ------ Resolution Options
% 0.19/0.51
% 0.19/0.51 % --resolution_flag true
% 0.19/0.51 % --res_lit_sel kbo_max
% 0.19/0.51 % --res_to_prop_solver none
% 0.19/0.51 % --res_prop_simpl_new false
% 0.19/0.51 % --res_prop_simpl_given false
% 0.19/0.51 % --res_passive_queue_type priority_queues
% 0.19/0.51 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.51 % --res_passive_queues_freq [15;5]
% 0.19/0.51 % --res_forward_subs full
% 0.19/0.51 % --res_backward_subs full
% 0.19/0.51 % --res_forward_subs_resolution true
% 0.19/0.51 % --res_backward_subs_resolution true
% 0.19/0.51 % --res_orphan_elimination false
% 0.19/0.51 % --res_time_limit 1000.
% 0.19/0.51 % --res_out_proof true
% 0.19/0.51 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_01a216.s
% 0.19/0.51 % --modulo true
% 0.19/0.51
% 0.19/0.51 % ------ Combination Options
% 0.19/0.51
% 0.19/0.51 % --comb_res_mult 1000
% 0.19/0.51 % --comb_inst_mult 300
% 0.19/0.51 % ------
% 0.19/0.51
% 0.19/0.51 % ------ Parsing...% successful
% 0.19/0.51
% 0.19/0.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.19/0.51
% 0.19/0.51 % ------ Proving...
% 0.19/0.51 % ------ Problem Properties
% 0.19/0.51
% 0.19/0.51 %
% 0.19/0.51 % EPR false
% 0.19/0.51 % Horn false
% 0.19/0.51 % Has equality true
% 0.19/0.51
% 0.19/0.51 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % % ------ Current options:
% 0.19/0.51
% 0.19/0.51 % ------ Input Options
% 0.19/0.51
% 0.19/0.51 % --out_options all
% 0.19/0.51 % --tptp_safe_out true
% 0.19/0.51 % --problem_path ""
% 0.19/0.51 % --include_path ""
% 0.19/0.51 % --clausifier .//eprover
% 0.19/0.51 % --clausifier_options --tstp-format
% 0.19/0.51 % --stdin false
% 0.19/0.51 % --dbg_backtrace false
% 0.19/0.51 % --dbg_dump_prop_clauses false
% 0.19/0.51 % --dbg_dump_prop_clauses_file -
% 0.19/0.51 % --dbg_out_stat false
% 0.19/0.51
% 0.19/0.51 % ------ General Options
% 0.19/0.51
% 0.19/0.51 % --fof false
% 0.19/0.51 % --time_out_real 150.
% 0.19/0.51 % --time_out_prep_mult 0.2
% 0.19/0.51 % --time_out_virtual -1.
% 0.19/0.51 % --schedule none
% 0.19/0.51 % --ground_splitting input
% 0.19/0.51 % --splitting_nvd 16
% 0.19/0.51 % --non_eq_to_eq false
% 0.19/0.51 % --prep_gs_sim true
% 0.19/0.51 % --prep_unflatten false
% 0.19/0.51 % --prep_res_sim true
% 0.19/0.51 % --prep_upred true
% 0.19/0.51 % --res_sim_input true
% 0.19/0.51 % --clause_weak_htbl true
% 0.19/0.51 % --gc_record_bc_elim false
% 0.19/0.51 % --symbol_type_check false
% 0.19/0.51 % --clausify_out false
% 0.19/0.51 % --large_theory_mode false
% 0.19/0.51 % --prep_sem_filter none
% 0.19/0.51 % --prep_sem_filter_out false
% 0.19/0.51 % --preprocessed_out false
% 0.19/0.51 % --sub_typing false
% 0.19/0.51 % --brand_transform false
% 0.19/0.51 % --pure_diseq_elim true
% 0.19/0.51 % --min_unsat_core false
% 0.19/0.51 % --pred_elim true
% 0.19/0.51 % --add_important_lit false
% 0.19/0.51 % --soft_assumptions false
% 0.19/0.51 % --reset_solvers false
% 0.19/0.51 % --bc_imp_inh []
% 0.19/0.51 % --conj_cone_tolerance 1.5
% 0.19/0.51 % --prolific_symb_bound 500
% 0.19/0.51 % --lt_threshold 2000
% 0.19/0.51
% 0.19/0.51 % ------ SAT Options
% 0.19/0.51
% 0.19/0.51 % --sat_mode false
% 0.19/0.51 % --sat_fm_restart_options ""
% 0.19/0.51 % --sat_gr_def false
% 0.19/0.51 % --sat_epr_types true
% 0.19/0.51 % --sat_non_cyclic_types false
% 0.19/0.51 % --sat_finite_models false
% 0.19/0.51 % --sat_fm_lemmas false
% 0.19/0.51 % --sat_fm_prep false
% 0.19/0.51 % --sat_fm_uc_incr true
% 0.19/0.51 % --sat_out_model small
% 0.19/0.51 % --sat_out_clauses false
% 0.19/0.51
% 0.19/0.51 % ------ QBF Options
% 0.19/0.51
% 0.19/0.51 % --qbf_mode false
% 0.19/0.51 % --qbf_elim_univ true
% 0.19/0.51 % --qbf_sk_in true
% 0.19/0.51 % --qbf_pred_elim true
% 0.19/0.51 % --qbf_split 32
% 0.19/0.51
% 0.19/0.51 % ------ BMC1 Options
% 0.19/0.51
% 0.19/0.51 % --bmc1_incremental false
% 0.19/0.51 % --bmc1_axioms reachable_all
% 0.19/0.51 % --bmc1_min_bound 0
% 0.19/0.51 % --bmc1_max_bound -1
% 0.19/0.51 % --bmc1_max_bound_default -1
% 0.19/0.51 % --bmc1_symbol_reachability true
% 0.19/0.51 % --bmc1_property_lemmas false
% 0.19/0.51 % --bmc1_k_induction false
% 0.19/0.51 % --bmc1_non_equiv_states false
% 0.19/0.51 % --bmc1_deadlock false
% 0.19/0.51 % --bmc1_ucm false
% 0.19/0.51 % --bmc1_add_unsat_core none
% 0.19/0.51 % --bmc1_unsat_core_children false
% 0.19/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.51 % --bmc1_out_stat full
% 0.19/0.51 % --bmc1_ground_init false
% 0.19/0.51 % --bmc1_pre_inst_next_state false
% 0.19/0.51 % --bmc1_pre_inst_state false
% 0.19/0.51 % --bmc1_pre_inst_reach_state false
% 0.19/0.51 % --bmc1_out_unsat_core false
% 0.19/0.51 % --bmc1_aig_witness_out false
% 0.19/0.51 % --bmc1_verbose false
% 0.19/0.51 % --bmc1_dump_clauses_tptp false
% 0.19/0.51 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.51 % --bmc1_dump_file -
% 0.19/0.51 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.51 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.51 % --bmc1_ucm_extend_mode 1
% 0.19/0.51 % --bmc1_ucm_init_mode 2
% 0.19/0.51 % --bmc1_ucm_cone_mode none
% 0.19/0.51 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.51 % --bmc1_ucm_relax_model 4
% 0.19/0.51 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.51 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.51 % --bmc1_ucm_layered_model none
% 0.19/0.51 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.51
% 0.19/0.51 % ------ AIG Options
% 0.19/0.51
% 0.19/0.51 % --aig_mode false
% 0.19/0.51
% 0.19/0.51 % ------ Instantiation Options
% 0.19/0.51
% 0.19/0.51 % --instantiation_flag true
% 0.19/0.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.51 % --inst_solver_per_active 750
% 0.19/0.51 % --inst_solver_calls_frac 0.5
% 0.19/0.51 % --inst_passive_queue_type priority_queues
% 0.19/0.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.51 % --inst_passive_queues_freq [25;2]
% 0.19/0.51 % --inst_dismatching true
% 0.19/0.51 % --inst_eager_unprocessed_to_passive true
% 0.19/0.51 % --inst_prop_sim_given true
% 3.66/3.88 % --inst_prop_sim_new false
% 3.66/3.88 % --inst_orphan_elimination true
% 3.66/3.88 % --inst_learning_loop_flag true
% 3.66/3.88 % --inst_learning_start 3000
% 3.66/3.88 % --inst_learning_factor 2
% 3.66/3.88 % --inst_start_prop_sim_after_learn 3
% 3.66/3.88 % --inst_sel_renew solver
% 3.66/3.88 % --inst_lit_activity_flag true
% 3.66/3.88 % --inst_out_proof true
% 3.66/3.88
% 3.66/3.88 % ------ Resolution Options
% 3.66/3.88
% 3.66/3.88 % --resolution_flag true
% 3.66/3.88 % --res_lit_sel kbo_max
% 3.66/3.88 % --res_to_prop_solver none
% 3.66/3.88 % --res_prop_simpl_new false
% 3.66/3.88 % --res_prop_simpl_given false
% 3.66/3.88 % --res_passive_queue_type priority_queues
% 3.66/3.88 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.66/3.88 % --res_passive_queues_freq [15;5]
% 3.66/3.88 % --res_forward_subs full
% 3.66/3.88 % --res_backward_subs full
% 3.66/3.88 % --res_forward_subs_resolution true
% 3.66/3.88 % --res_backward_subs_resolution true
% 3.66/3.88 % --res_orphan_elimination false
% 3.66/3.88 % --res_time_limit 1000.
% 3.66/3.88 % --res_out_proof true
% 3.66/3.88 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_01a216.s
% 3.66/3.88 % --modulo true
% 3.66/3.88
% 3.66/3.88 % ------ Combination Options
% 3.66/3.88
% 3.66/3.88 % --comb_res_mult 1000
% 3.66/3.88 % --comb_inst_mult 300
% 3.66/3.88 % ------
% 3.66/3.88
% 3.66/3.88
% 3.66/3.88
% 3.66/3.88 % ------ Proving...
% 3.66/3.88 %
% 3.66/3.88
% 3.66/3.88
% 3.66/3.88 % ------ Statistics
% 3.66/3.88
% 3.66/3.88 % ------ General
% 3.66/3.88
% 3.66/3.88 % num_of_input_clauses: 566
% 3.66/3.88 % num_of_input_neg_conjectures: 11
% 3.66/3.88 % num_of_splits: 0
% 3.66/3.88 % num_of_split_atoms: 0
% 3.66/3.88 % num_of_sem_filtered_clauses: 0
% 3.66/3.88 % num_of_subtypes: 0
% 3.66/3.88 % monotx_restored_types: 0
% 3.66/3.88 % sat_num_of_epr_types: 0
% 3.66/3.88 % sat_num_of_non_cyclic_types: 0
% 3.66/3.88 % sat_guarded_non_collapsed_types: 0
% 3.66/3.88 % is_epr: 0
% 3.66/3.88 % is_horn: 0
% 3.66/3.88 % has_eq: 1
% 3.66/3.88 % num_pure_diseq_elim: 0
% 3.66/3.88 % simp_replaced_by: 0
% 3.66/3.88 % res_preprocessed: 22
% 3.66/3.88 % prep_upred: 0
% 3.66/3.88 % prep_unflattend: 0
% 3.66/3.88 % pred_elim_cands: 0
% 3.66/3.88 % pred_elim: 0
% 3.66/3.88 % pred_elim_cl: 0
% 3.66/3.88 % pred_elim_cycles: 0
% 3.66/3.88 % forced_gc_time: 0
% 3.66/3.88 % gc_basic_clause_elim: 0
% 3.66/3.88 % parsing_time: 0.03
% 3.66/3.88 % sem_filter_time: 0.
% 3.66/3.88 % pred_elim_time: 0.
% 3.66/3.88 % out_proof_time: 0.001
% 3.66/3.88 % monotx_time: 0.
% 3.66/3.88 % subtype_inf_time: 0.
% 3.66/3.88 % unif_index_cands_time: 0.003
% 3.66/3.88 % unif_index_add_time: 0.005
% 3.66/3.88 % total_time: 3.451
% 3.66/3.88 % num_of_symbols: 101
% 3.66/3.88 % num_of_terms: 28100
% 3.66/3.88
% 3.66/3.88 % ------ Propositional Solver
% 3.66/3.88
% 3.66/3.88 % prop_solver_calls: 5
% 3.66/3.88 % prop_fast_solver_calls: 39
% 3.66/3.88 % prop_num_of_clauses: 1475
% 3.66/3.88 % prop_preprocess_simplified: 4033
% 3.66/3.88 % prop_fo_subsumed: 0
% 3.66/3.88 % prop_solver_time: 0.
% 3.66/3.88 % prop_fast_solver_time: 0.
% 3.66/3.88 % prop_unsat_core_time: 0.
% 3.66/3.88
% 3.66/3.88 % ------ QBF
% 3.66/3.88
% 3.66/3.88 % qbf_q_res: 0
% 3.66/3.88 % qbf_num_tautologies: 0
% 3.66/3.88 % qbf_prep_cycles: 0
% 3.66/3.88
% 3.66/3.88 % ------ BMC1
% 3.66/3.88
% 3.66/3.88 % bmc1_current_bound: -1
% 3.66/3.88 % bmc1_last_solved_bound: -1
% 3.66/3.88 % bmc1_unsat_core_size: -1
% 3.66/3.88 % bmc1_unsat_core_parents_size: -1
% 3.66/3.88 % bmc1_merge_next_fun: 0
% 3.66/3.88 % bmc1_unsat_core_clauses_time: 0.
% 3.66/3.88
% 3.66/3.88 % ------ Instantiation
% 3.66/3.88
% 3.66/3.88 % inst_num_of_clauses: 1257
% 3.66/3.88 % inst_num_in_passive: 461
% 3.66/3.88 % inst_num_in_active: 774
% 3.66/3.88 % inst_num_in_unprocessed: 4
% 3.66/3.88 % inst_num_of_loops: 794
% 3.66/3.88 % inst_num_of_learning_restarts: 0
% 3.66/3.88 % inst_num_moves_active_passive: 1
% 3.66/3.88 % inst_lit_activity: 163
% 3.66/3.88 % inst_lit_activity_moves: 0
% 3.66/3.88 % inst_num_tautologies: 16
% 3.66/3.88 % inst_num_prop_implied: 0
% 3.66/3.88 % inst_num_existing_simplified: 0
% 3.66/3.88 % inst_num_eq_res_simplified: 0
% 3.66/3.88 % inst_num_child_elim: 0
% 3.66/3.88 % inst_num_of_dismatching_blockings: 13
% 3.66/3.88 % inst_num_of_non_proper_insts: 651
% 3.66/3.88 % inst_num_of_duplicates: 1466
% 3.66/3.88 % inst_inst_num_from_inst_to_res: 0
% 3.66/3.88 % inst_dismatching_checking_time: 0.
% 3.66/3.88
% 3.66/3.88 % ------ Resolution
% 3.66/3.88
% 3.66/3.88 % res_num_of_clauses: 9261
% 3.66/3.88 % res_num_in_passive: 6815
% 3.66/3.88 % res_num_in_active: 2043
% 3.66/3.88 % res_num_of_loops: 3000
% 3.66/3.88 % res_forward_subset_subsumed: 603
% 3.66/3.88 % res_backward_subset_subsumed: 195
% 3.66/3.88 % res_forward_subsumed: 989
% 3.66/3.88 % res_backward_subsumed: 8
% 3.66/3.88 % res_forward_subsumption_resolution: 1671
% 3.66/3.88 % res_backward_subsumption_resolution: 101
% 3.66/3.88 % res_clause_to_clause_subsumption: 13576
% 3.66/3.88 % res_orphan_elimination: 0
% 3.66/3.88 % res_tautology_del: 102
% 3.66/3.88 % res_num_eq_res_simplified: 0
% 3.66/3.88 % res_num_sel_changes: 0
% 3.66/3.88 % res_moves_from_active_to_pass: 0
% 3.66/3.88
% 3.66/3.88 % Status Unsatisfiable
% 3.66/3.88 % SZS status Theorem
% 3.66/3.88 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------