TSTP Solution File: LAT330+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LAT330+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n014.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 05:24:39 EDT 2022
% Result : Theorem 58.86s 59.06s
% Output : CNFRefutation 58.86s
% 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_tarski,axiom,
! [A,B] :
( ! [C] :
( r2_hidden(C,A)
<=> r2_hidden(C,B) )
=> A = B ),
input ).
fof(t2_tarski_0,plain,
! [A,B] :
( A = B
| ~ ! [C] :
( r2_hidden(C,A)
<=> r2_hidden(C,B) ) ),
inference(orientation,[status(thm)],[t2_tarski]) ).
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(reflexivity_r1_filter_2,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(A)
& m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> r1_filter_2(A,B,B) ),
input ).
fof(reflexivity_r1_filter_2_0,plain,
! [A,B,C] :
( r1_filter_2(A,B,B)
| ~ ( ~ v1_xboole_0(A)
& m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(orientation,[status(thm)],[reflexivity_r1_filter_2]) ).
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(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_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_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_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_k5_lattices,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_lattices(A) )
=> m1_subset_1(k5_lattices(A),u1_struct_0(A)) ),
input ).
fof(dt_k5_lattices_0,plain,
! [A] :
( m1_subset_1(k5_lattices(A),u1_struct_0(A))
| ~ ( ~ v3_struct_0(A)
& l1_lattices(A) ) ),
inference(orientation,[status(thm)],[dt_k5_lattices]) ).
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(dt_k18_filter_2,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,u1_struct_0(A)) )
=> m2_filter_2(k18_filter_2(A,B),A) ),
input ).
fof(dt_k18_filter_2_0,plain,
! [A,B] :
( m2_filter_2(k18_filter_2(A,B),A)
| ~ ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[dt_k18_filter_2]) ).
fof(d1_filter_2,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_filter_2(A,B,C)
<=> ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(D,B)
<=> r2_hidden(D,C) ) ) ) ) ) ),
input ).
fof(d1_filter_2_0,plain,
! [A] :
( v1_xboole_0(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_filter_2(A,B,C)
<=> ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(D,B)
<=> r2_hidden(D,C) ) ) ) ) ) ),
inference(orientation,[status(thm)],[d1_filter_2]) ).
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_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(def_lhs_atom1,axiom,
! [B,A] :
( lhs_atom1(B,A)
<=> ~ r2_hidden(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A,B] :
( lhs_atom1(B,A)
| ~ r2_hidden(B,A) ),
inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [A] :
( lhs_atom2(A)
<=> ~ v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [A] :
( lhs_atom2(A)
| v1_funct_1(A) ),
inference(fold_definition,[status(thm)],[cc1_funct_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> ~ l3_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom3(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_atom3]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom3(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_atom3]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [A] :
( lhs_atom4(A)
| ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ( r1_filter_2(A,B,C)
<=> ! [D] :
( m1_subset_1(D,A)
=> ( r2_hidden(D,B)
<=> r2_hidden(D,C) ) ) ) ) ) ),
inference(fold_definition,[status(thm)],[d1_filter_2_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [B,A] :
( lhs_atom5(B,A)
<=> m2_filter_2(k18_filter_2(A,B),A) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [A,B] :
( lhs_atom5(B,A)
| ~ ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& m1_subset_1(B,u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[dt_k18_filter_2_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom6]) ).
fof(to_be_clausified_7,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [A] :
( lhs_atom7(A)
<=> m1_subset_1(k5_lattices(A),u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [A] :
( lhs_atom7(A)
| ~ ( ~ v3_struct_0(A)
& l1_lattices(A) ) ),
inference(fold_definition,[status(thm)],[dt_k5_lattices_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [A] :
( lhs_atom8(A)
<=> ~ l1_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [A] :
( lhs_atom8(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l1_lattices_0,def_lhs_atom8]) ).
fof(to_be_clausified_10,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom9,axiom,
! [A] :
( lhs_atom9(A)
<=> ~ l2_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [A] :
( lhs_atom9(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l2_lattices_0,def_lhs_atom9]) ).
fof(to_be_clausified_12,plain,
! [A] :
( lhs_atom3(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(fold_definition,[status(thm)],[dt_l3_lattices_0,def_lhs_atom3]) ).
fof(to_be_clausified_13,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom6]) ).
fof(to_be_clausified_14,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> ~ v1_xboole_0(u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,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_16,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_17,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom12]) ).
fof(to_be_clausified_18,plain,
! [A] :
( lhs_atom4(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_atom4]) ).
fof(def_lhs_atom13,axiom,
! [B,A] :
( lhs_atom13(B,A)
<=> r1_filter_2(A,B,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [A,B,C] :
( lhs_atom13(B,A)
| ~ ( ~ v1_xboole_0(A)
& m1_subset_1(B,k1_zfmisc_1(A))
& m1_subset_1(C,k1_zfmisc_1(A)) ) ),
inference(fold_definition,[status(thm)],[reflexivity_r1_filter_2_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [A] :
( lhs_atom14(A)
<=> r1_tarski(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [A] :
( lhs_atom14(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [B,A] :
( lhs_atom15(B,A)
<=> r3_lattices(A,B,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [A,B,C] :
( lhs_atom15(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_atom15]) ).
fof(to_be_clausified_22,plain,
! [A,B] :
( lhs_atom1(B,A)
| m1_subset_1(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).
fof(def_lhs_atom16,axiom,
! [B,A] :
( lhs_atom16(B,A)
<=> ~ m1_subset_1(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [A,B] :
( lhs_atom16(B,A)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [B,A] :
( lhs_atom17(B,A)
<=> A = B ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [A,B] :
( lhs_atom17(B,A)
| ~ ! [C] :
( r2_hidden(C,A)
<=> r2_hidden(C,B) ) ),
inference(fold_definition,[status(thm)],[t2_tarski_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [B,A] :
( lhs_atom18(B,A)
<=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [A,B] :
( lhs_atom18(B,A)
| r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,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_26,plain,
! [A,B] :
( lhs_atom19(B,A)
| ~ r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [C,A] :
( lhs_atom20(C,A)
<=> m1_subset_1(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [A,B,C] :
( lhs_atom20(C,A)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom20]) ).
fof(to_be_clausified_28,plain,
! [A] :
( lhs_atom2(A)
| A = k1_xboole_0 ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X2))
=> ( r1_filter_2(X2,X1,X3)
<=> ! [X4] :
( m1_subset_1(X4,X2)
=> ( r2_hidden(X4,X1)
<=> r2_hidden(X4,X3) ) ) ) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_1,axiom,
! [X1,X2] :
( lhs_atom17(X1,X2)
| ~ ! [X3] :
( r2_hidden(X3,X2)
<=> r2_hidden(X3,X1) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_2,axiom,
! [X3,X1,X2] :
( lhs_atom15(X1,X2)
| ~ ( ~ v3_struct_0(X2)
& v6_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X1,u1_struct_0(X2))
& m1_subset_1(X3,u1_struct_0(X2)) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_3,axiom,
! [X3,X1,X2] :
( lhs_atom13(X1,X2)
| ~ ( ~ v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_4,axiom,
! [X3,X1,X2] :
( lhs_atom20(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_5,axiom,
! [X1,X2] :
( lhs_atom5(X1,X2)
| ~ ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X1,u1_struct_0(X2)) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_6,axiom,
! [X2] :
( lhs_atom3(X2)
| ( ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2) )
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2) ) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_7,axiom,
! [X1,X2] :
( lhs_atom19(X1,X2)
| ~ r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_8,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_9,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_10,axiom,
! [X2] :
( lhs_atom4(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom18(X1,X2)
| r1_tarski(X2,X1) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_12,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_13,axiom,
! [X2] :
( lhs_atom3(X2)
| ( ( ~ v3_struct_0(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) ) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom10(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom7(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_lattices(X2) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom3(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_17,axiom,
! [X2] :
( lhs_atom9(X2)
| l1_struct_0(X2) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_18,axiom,
! [X2] :
( lhs_atom8(X2)
| l1_struct_0(X2) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_19,axiom,
! [X2] :
( lhs_atom2(X2)
| v1_funct_1(X2) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_20,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = k1_xboole_0 ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_21,axiom,
! [X2] :
( lhs_atom14(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_22,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_23,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_24,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_25,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_26,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_27,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_28,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_29,axiom,
! [X2] :
( lhs_atom4(X2)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X2))
=> ( r1_filter_2(X2,X1,X3)
<=> ! [X4] :
( m1_subset_1(X4,X2)
=> ( r2_hidden(X4,X1)
<=> r2_hidden(X4,X3) ) ) ) ) ) ),
c_0_0 ).
fof(c_0_30,axiom,
! [X1,X2] :
( lhs_atom17(X1,X2)
| ~ ! [X3] :
( r2_hidden(X3,X2)
<=> r2_hidden(X3,X1) ) ),
c_0_1 ).
fof(c_0_31,plain,
! [X3,X1,X2] :
( lhs_atom15(X1,X2)
| ~ ( ~ v3_struct_0(X2)
& v6_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X1,u1_struct_0(X2))
& m1_subset_1(X3,u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_32,plain,
! [X3,X1,X2] :
( lhs_atom13(X1,X2)
| ~ ( ~ v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_33,axiom,
! [X3,X1,X2] :
( lhs_atom20(X3,X2)
| ~ ( r2_hidden(X2,X1)
& m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
c_0_4 ).
fof(c_0_34,plain,
! [X1,X2] :
( lhs_atom5(X1,X2)
| ~ ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X1,u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_35,plain,
! [X2] :
( lhs_atom3(X2)
| ( ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2) )
=> ( ~ v3_struct_0(X2)
& v10_lattices(X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_36,plain,
! [X1,X2] :
( lhs_atom19(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_37,plain,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_38,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| v1_xboole_0(X1)
| r2_hidden(X2,X1) ),
c_0_9 ).
fof(c_0_39,plain,
! [X2] :
( lhs_atom4(X2)
| ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
& ~ v1_xboole_0(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_40,axiom,
! [X1,X2] :
( lhs_atom18(X1,X2)
| r1_tarski(X2,X1) ),
c_0_11 ).
fof(c_0_41,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| m1_subset_1(X2,X1) ),
c_0_12 ).
fof(c_0_42,plain,
! [X2] :
( lhs_atom3(X2)
| ( ( ~ v3_struct_0(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) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_43,plain,
! [X2] :
( lhs_atom10(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_struct_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_44,plain,
! [X2] :
( lhs_atom7(X2)
| ~ ( ~ v3_struct_0(X2)
& l1_lattices(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_45,axiom,
! [X2] :
( lhs_atom3(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
c_0_16 ).
fof(c_0_46,axiom,
! [X2] :
( lhs_atom9(X2)
| l1_struct_0(X2) ),
c_0_17 ).
fof(c_0_47,axiom,
! [X2] :
( lhs_atom8(X2)
| l1_struct_0(X2) ),
c_0_18 ).
fof(c_0_48,axiom,
! [X2] :
( lhs_atom2(X2)
| v1_funct_1(X2) ),
c_0_19 ).
fof(c_0_49,axiom,
! [X2] :
( lhs_atom2(X2)
| X2 = k1_xboole_0 ),
c_0_20 ).
fof(c_0_50,plain,
! [X2] : lhs_atom14(X2),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_51,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_52,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_53,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_54,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_55,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_56,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_57,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_58,plain,
! [X5,X6,X7,X8] :
( ( ~ r2_hidden(X8,X6)
| r2_hidden(X8,X7)
| ~ m1_subset_1(X8,X5)
| ~ r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| lhs_atom4(X5) )
& ( ~ r2_hidden(X8,X7)
| r2_hidden(X8,X6)
| ~ m1_subset_1(X8,X5)
| ~ r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| lhs_atom4(X5) )
& ( m1_subset_1(esk1_3(X5,X6,X7),X5)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| lhs_atom4(X5) )
& ( ~ r2_hidden(esk1_3(X5,X6,X7),X6)
| ~ r2_hidden(esk1_3(X5,X6,X7),X7)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| lhs_atom4(X5) )
& ( r2_hidden(esk1_3(X5,X6,X7),X6)
| r2_hidden(esk1_3(X5,X6,X7),X7)
| r1_filter_2(X5,X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5))
| lhs_atom4(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])]) ).
fof(c_0_59,plain,
! [X4,X5] :
( ( ~ r2_hidden(esk3_2(X4,X5),X5)
| ~ r2_hidden(esk3_2(X4,X5),X4)
| lhs_atom17(X4,X5) )
& ( r2_hidden(esk3_2(X4,X5),X5)
| r2_hidden(esk3_2(X4,X5),X4)
| lhs_atom17(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_60,plain,
! [X4,X5,X6] :
( lhs_atom15(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_31])]) ).
fof(c_0_61,plain,
! [X4,X5,X6] :
( lhs_atom13(X5,X6)
| v1_xboole_0(X6)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ m1_subset_1(X4,k1_zfmisc_1(X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_62,plain,
! [X4,X5,X6] :
( lhs_atom20(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_33])]) ).
fof(c_0_63,plain,
! [X3,X4] :
( lhs_atom5(X3,X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X3,u1_struct_0(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
fof(c_0_64,plain,
! [X3] :
( ( ~ v3_struct_0(X3)
| v3_struct_0(X3)
| ~ v4_lattices(X3)
| ~ v5_lattices(X3)
| ~ v6_lattices(X3)
| ~ v7_lattices(X3)
| ~ v8_lattices(X3)
| ~ v9_lattices(X3)
| lhs_atom3(X3) )
& ( v10_lattices(X3)
| v3_struct_0(X3)
| ~ v4_lattices(X3)
| ~ v5_lattices(X3)
| ~ v6_lattices(X3)
| ~ v7_lattices(X3)
| ~ v8_lattices(X3)
| ~ v9_lattices(X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_65,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_66,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| ~ r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_67,plain,
! [X3,X4] :
( lhs_atom16(X3,X4)
| v1_xboole_0(X3)
| r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_68,plain,
! [X3] :
( ( m1_subset_1(esk2_1(X3),k1_zfmisc_1(X3))
| lhs_atom4(X3) )
& ( ~ v1_xboole_0(esk2_1(X3))
| lhs_atom4(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_39])])]) ).
fof(c_0_69,plain,
! [X3,X4] :
( lhs_atom18(X3,X4)
| r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_70,plain,
! [X3,X4] :
( lhs_atom1(X3,X4)
| m1_subset_1(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_71,plain,
! [X3] :
( ( ~ v3_struct_0(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v4_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v5_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v6_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v7_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v8_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) )
& ( v9_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).
fof(c_0_72,plain,
! [X3] :
( lhs_atom10(X3)
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
fof(c_0_73,plain,
! [X3] :
( lhs_atom7(X3)
| v3_struct_0(X3)
| ~ l1_lattices(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_74,plain,
! [X3] :
( ( l1_lattices(X3)
| lhs_atom3(X3) )
& ( l2_lattices(X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).
fof(c_0_75,plain,
! [X3] :
( lhs_atom9(X3)
| l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_76,plain,
! [X3] :
( lhs_atom8(X3)
| l1_struct_0(X3) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_77,plain,
! [X3] :
( lhs_atom2(X3)
| v1_funct_1(X3) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_78,plain,
! [X3] :
( lhs_atom2(X3)
| X3 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_79,plain,
! [X3] : lhs_atom14(X3),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_80,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_51]) ).
fof(c_0_81,plain,
lhs_atom12,
c_0_52 ).
fof(c_0_82,plain,
lhs_atom6,
c_0_53 ).
fof(c_0_83,plain,
lhs_atom6,
c_0_54 ).
fof(c_0_84,plain,
lhs_atom6,
c_0_55 ).
fof(c_0_85,plain,
lhs_atom6,
c_0_56 ).
fof(c_0_86,plain,
lhs_atom6,
c_0_57 ).
cnf(c_0_87,plain,
( lhs_atom4(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(esk1_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_88,plain,
( lhs_atom4(X1)
| r1_filter_2(X1,X2,X3)
| r2_hidden(esk1_3(X1,X2,X3),X3)
| r2_hidden(esk1_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_89,plain,
( lhs_atom4(X1)
| r1_filter_2(X1,X2,X3)
| m1_subset_1(esk1_3(X1,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_90,plain,
( lhs_atom4(X1)
| r2_hidden(X4,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_91,plain,
( lhs_atom4(X1)
| r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_92,plain,
( lhs_atom17(X1,X2)
| ~ r2_hidden(esk3_2(X1,X2),X1)
| ~ r2_hidden(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_93,plain,
( v3_struct_0(X2)
| lhs_atom15(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_60]) ).
cnf(c_0_94,plain,
( lhs_atom17(X1,X2)
| r2_hidden(esk3_2(X1,X2),X1)
| r2_hidden(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_95,plain,
( v1_xboole_0(X2)
| lhs_atom13(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_96,plain,
( lhs_atom20(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_97,plain,
( v3_struct_0(X2)
| lhs_atom5(X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_98,plain,
( lhs_atom3(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_64]) ).
cnf(c_0_99,plain,
( lhs_atom3(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_64]) ).
cnf(c_0_100,plain,
( lhs_atom19(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_101,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_102,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom16(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_103,plain,
( lhs_atom4(X1)
| m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_104,plain,
( r1_tarski(X1,X2)
| lhs_atom18(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_105,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_106,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_107,plain,
( lhs_atom4(X1)
| ~ v1_xboole_0(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_108,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_109,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_110,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_111,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_112,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_113,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_114,plain,
( v3_struct_0(X1)
| lhs_atom10(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_115,plain,
( v3_struct_0(X1)
| lhs_atom7(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_116,plain,
( lhs_atom3(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_117,plain,
( lhs_atom3(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_118,plain,
( l1_struct_0(X1)
| lhs_atom9(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_119,plain,
( l1_struct_0(X1)
| lhs_atom8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_120,plain,
( v1_funct_1(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_121,plain,
( X1 = k1_xboole_0
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_122,plain,
lhs_atom14(X1),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_123,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_124,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_125,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_126,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_127,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_128,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_129,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_130,plain,
( lhs_atom4(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(esk1_3(X1,X2,X3),X2) ),
c_0_87,
[final] ).
cnf(c_0_131,plain,
( lhs_atom4(X1)
| r1_filter_2(X1,X2,X3)
| r2_hidden(esk1_3(X1,X2,X3),X3)
| r2_hidden(esk1_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
c_0_88,
[final] ).
cnf(c_0_132,plain,
( lhs_atom4(X1)
| r1_filter_2(X1,X2,X3)
| m1_subset_1(esk1_3(X1,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
c_0_89,
[final] ).
cnf(c_0_133,plain,
( lhs_atom4(X1)
| r2_hidden(X4,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
c_0_90,
[final] ).
cnf(c_0_134,plain,
( lhs_atom4(X1)
| r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
c_0_91,
[final] ).
cnf(c_0_135,plain,
( lhs_atom17(X1,X2)
| ~ r2_hidden(esk3_2(X1,X2),X1)
| ~ r2_hidden(esk3_2(X1,X2),X2) ),
c_0_92,
[final] ).
cnf(c_0_136,plain,
( v3_struct_0(X2)
| lhs_atom15(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_93,
[final] ).
cnf(c_0_137,plain,
( lhs_atom17(X1,X2)
| r2_hidden(esk3_2(X1,X2),X1)
| r2_hidden(esk3_2(X1,X2),X2) ),
c_0_94,
[final] ).
cnf(c_0_138,plain,
( v1_xboole_0(X2)
| lhs_atom13(X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
c_0_95,
[final] ).
cnf(c_0_139,plain,
( lhs_atom20(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
c_0_96,
[final] ).
cnf(c_0_140,plain,
( v3_struct_0(X2)
| lhs_atom5(X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_97,
[final] ).
cnf(c_0_141,plain,
( lhs_atom3(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_98,
[final] ).
cnf(c_0_142,plain,
( lhs_atom3(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_99,
[final] ).
cnf(c_0_143,plain,
( lhs_atom19(X2,X1)
| ~ r1_tarski(X1,X2) ),
c_0_100,
[final] ).
cnf(c_0_144,plain,
( lhs_atom1(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_101,
[final] ).
cnf(c_0_145,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom16(X2,X1) ),
c_0_102,
[final] ).
cnf(c_0_146,plain,
( lhs_atom4(X1)
| m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)) ),
c_0_103,
[final] ).
cnf(c_0_147,plain,
( r1_tarski(X1,X2)
| lhs_atom18(X2,X1) ),
c_0_104,
[final] ).
cnf(c_0_148,plain,
( m1_subset_1(X1,X2)
| lhs_atom1(X2,X1) ),
c_0_105,
[final] ).
cnf(c_0_149,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_106,
[final] ).
cnf(c_0_150,plain,
( lhs_atom4(X1)
| ~ v1_xboole_0(esk2_1(X1)) ),
c_0_107,
[final] ).
cnf(c_0_151,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_108,
[final] ).
cnf(c_0_152,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_109,
[final] ).
cnf(c_0_153,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_110,
[final] ).
cnf(c_0_154,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_111,
[final] ).
cnf(c_0_155,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_112,
[final] ).
cnf(c_0_156,plain,
( lhs_atom3(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_113,
[final] ).
cnf(c_0_157,plain,
( v3_struct_0(X1)
| lhs_atom10(X1)
| ~ l1_struct_0(X1) ),
c_0_114,
[final] ).
cnf(c_0_158,plain,
( v3_struct_0(X1)
| lhs_atom7(X1)
| ~ l1_lattices(X1) ),
c_0_115,
[final] ).
cnf(c_0_159,plain,
( lhs_atom3(X1)
| l1_lattices(X1) ),
c_0_116,
[final] ).
cnf(c_0_160,plain,
( lhs_atom3(X1)
| l2_lattices(X1) ),
c_0_117,
[final] ).
cnf(c_0_161,plain,
( l1_struct_0(X1)
| lhs_atom9(X1) ),
c_0_118,
[final] ).
cnf(c_0_162,plain,
( l1_struct_0(X1)
| lhs_atom8(X1) ),
c_0_119,
[final] ).
cnf(c_0_163,plain,
( v1_funct_1(X1)
| lhs_atom2(X1) ),
c_0_120,
[final] ).
cnf(c_0_164,plain,
( X1 = k1_xboole_0
| lhs_atom2(X1) ),
c_0_121,
[final] ).
cnf(c_0_165,plain,
lhs_atom14(X1),
c_0_122,
[final] ).
cnf(c_0_166,plain,
lhs_atom11(X1),
c_0_123,
[final] ).
cnf(c_0_167,plain,
lhs_atom12,
c_0_124,
[final] ).
cnf(c_0_168,plain,
lhs_atom6,
c_0_125,
[final] ).
cnf(c_0_169,plain,
lhs_atom6,
c_0_126,
[final] ).
cnf(c_0_170,plain,
lhs_atom6,
c_0_127,
[final] ).
cnf(c_0_171,plain,
lhs_atom6,
c_0_128,
[final] ).
cnf(c_0_172,plain,
lhs_atom6,
c_0_129,
[final] ).
% End CNF derivation
cnf(c_0_130_0,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| ~ r2_hidden(sk1_esk1_3(X1,X2,X3),X2) ),
inference(unfold_definition,[status(thm)],[c_0_130,def_lhs_atom4]) ).
cnf(c_0_131_0,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X3)
| r2_hidden(sk1_esk1_3(X1,X2,X3),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_131,def_lhs_atom4]) ).
cnf(c_0_132_0,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| m1_subset_1(sk1_esk1_3(X1,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_132,def_lhs_atom4]) ).
cnf(c_0_133_0,axiom,
( v1_xboole_0(X1)
| r2_hidden(X4,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X2) ),
inference(unfold_definition,[status(thm)],[c_0_133,def_lhs_atom4]) ).
cnf(c_0_134_0,axiom,
( v1_xboole_0(X1)
| r2_hidden(X4,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X4,X1)
| ~ r2_hidden(X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_134,def_lhs_atom4]) ).
cnf(c_0_135_0,axiom,
( X2 = X1
| ~ r2_hidden(sk1_esk3_2(X1,X2),X1)
| ~ r2_hidden(sk1_esk3_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_135,def_lhs_atom17]) ).
cnf(c_0_136_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_136,def_lhs_atom15]) ).
cnf(c_0_137_0,axiom,
( X2 = X1
| r2_hidden(sk1_esk3_2(X1,X2),X1)
| r2_hidden(sk1_esk3_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom17]) ).
cnf(c_0_138_0,axiom,
( r1_filter_2(X2,X3,X3)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom13]) ).
cnf(c_0_139_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_139,def_lhs_atom20]) ).
cnf(c_0_140_0,axiom,
( m2_filter_2(k18_filter_2(X2,X1),X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom5]) ).
cnf(c_0_141_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_141,def_lhs_atom3]) ).
cnf(c_0_142_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_142,def_lhs_atom3]) ).
cnf(c_0_143_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom19]) ).
cnf(c_0_144_0,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom1]) ).
cnf(c_0_145_0,axiom,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom16]) ).
cnf(c_0_146_0,axiom,
( v1_xboole_0(X1)
| m1_subset_1(sk1_esk2_1(X1),k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom4]) ).
cnf(c_0_147_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom18]) ).
cnf(c_0_148_0,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom1]) ).
cnf(c_0_149_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom3]) ).
cnf(c_0_150_0,axiom,
( v1_xboole_0(X1)
| ~ v1_xboole_0(sk1_esk2_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom4]) ).
cnf(c_0_151_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom3]) ).
cnf(c_0_152_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom3]) ).
cnf(c_0_153_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom3]) ).
cnf(c_0_154_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom3]) ).
cnf(c_0_155_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom3]) ).
cnf(c_0_156_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom3]) ).
cnf(c_0_157_0,axiom,
( ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom10]) ).
cnf(c_0_158_0,axiom,
( m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom7]) ).
cnf(c_0_159_0,axiom,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom3]) ).
cnf(c_0_160_0,axiom,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom3]) ).
cnf(c_0_161_0,axiom,
( ~ l2_lattices(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom9]) ).
cnf(c_0_162_0,axiom,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom8]) ).
cnf(c_0_163_0,axiom,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom2]) ).
cnf(c_0_164_0,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom2]) ).
cnf(c_0_165_0,axiom,
r1_tarski(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom14]) ).
cnf(c_0_166_0,axiom,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom11]) ).
cnf(c_0_167_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom12]) ).
cnf(c_0_168_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom6]) ).
cnf(c_0_169_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom6]) ).
cnf(c_0_170_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom6]) ).
cnf(c_0_171_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom6]) ).
cnf(c_0_172_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom6]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,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))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
file('<stdin>',t63_filter_2) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( r2_hidden(X1,a_2_0_filter_2(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X4,X3) ) ) ),
file('<stdin>',fraenkel_a_2_0_filter_2) ).
fof(c_0_2_003,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_3_004,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_4_005,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
=> r1_filter_2(X1,X3,X2) ) ),
file('<stdin>',symmetry_r1_filter_2) ).
fof(c_0_5_006,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))
=> ( r2_hidden(X2,k18_filter_2(X1,X3))
<=> r3_lattices(X1,X2,X3) ) ) ) ),
file('<stdin>',t29_filter_2) ).
fof(c_0_6_007,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('<stdin>',redefinition_r1_filter_2) ).
fof(c_0_7_008,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r3_lattices(X1,k5_lattices(X1),X2) ) ),
file('<stdin>',t41_lattices) ).
fof(c_0_8_009,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
file('<stdin>',d9_filter_2) ).
fof(c_0_9_010,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_10_011,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_11_012,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('<stdin>',dt_m2_filter_2) ).
fof(c_0_12_013,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_13_014,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_filter_2(X2,X1) ),
file('<stdin>',existence_m2_filter_2) ).
fof(c_0_14_015,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_15_016,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_16_017,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_17_018,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_18_019,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_19_020,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_20_021,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_21_022,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_22_023,axiom,
? [X1] : l1_lattices(X1),
file('<stdin>',existence_l1_lattices) ).
fof(c_0_23_024,axiom,
? [X1] : l1_struct_0(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_24_025,axiom,
? [X1] : l2_lattices(X1),
file('<stdin>',existence_l2_lattices) ).
fof(c_0_25_026,axiom,
? [X1] : l3_lattices(X1),
file('<stdin>',existence_l3_lattices) ).
fof(c_0_26_027,axiom,
? [X1] : v1_xboole_0(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_27_028,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))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattices(X1,X2,X3)
=> ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
<=> ( r3_lattices(X1,X2,X4)
& r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_28_029,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( r2_hidden(X1,a_2_0_filter_2(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X4,X3) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_29_030,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_2]) ).
fof(c_0_30_031,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_3]) ).
fof(c_0_31_032,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
=> r1_filter_2(X1,X3,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_32_033,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))
=> ( r2_hidden(X2,k18_filter_2(X1,X3))
<=> r3_lattices(X1,X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_33_034,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_34_035,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r3_lattices(X1,k5_lattices(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_35_036,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_36_037,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_9]) ).
fof(c_0_37_038,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_10 ).
fof(c_0_38_039,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_39_040,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_12]) ).
fof(c_0_40_041,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_filter_2(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_41_042,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] : m2_lattice4(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_42_043,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_15]) ).
fof(c_0_43_044,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_16 ).
fof(c_0_44_045,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
c_0_17 ).
fof(c_0_45_046,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_18 ).
fof(c_0_46_047,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_19 ).
fof(c_0_47_048,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_48_049,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_49_050,axiom,
? [X1] : l1_lattices(X1),
c_0_22 ).
fof(c_0_50_051,axiom,
? [X1] : l1_struct_0(X1),
c_0_23 ).
fof(c_0_51_052,axiom,
? [X1] : l2_lattices(X1),
c_0_24 ).
fof(c_0_52_053,axiom,
? [X1] : l3_lattices(X1),
c_0_25 ).
fof(c_0_53_054,axiom,
? [X1] : v1_xboole_0(X1),
c_0_26 ).
fof(c_0_54_055,plain,
! [X5,X6,X7,X8] :
( ( r3_lattices(X5,X6,X8)
| ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r3_lattices(X5,X8,X7)
| ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r3_lattices(X5,X6,X8)
| ~ r3_lattices(X5,X8,X7)
| r2_hidden(X8,k22_filter_2(X5,X6,X7))
| ~ r3_lattices(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_55_056,plain,
! [X5,X6,X7,X9] :
( ( m1_subset_1(esk7_3(X5,X6,X7),u1_struct_0(X6))
| ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( X5 = esk7_3(X5,X6,X7)
| ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( r3_lattices(X6,esk7_3(X5,X6,X7),X7)
| ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( ~ m1_subset_1(X9,u1_struct_0(X6))
| X5 != X9
| ~ r3_lattices(X6,X9,X7)
| r2_hidden(X5,a_2_0_filter_2(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).
fof(c_0_56_057,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_29])])]) ).
fof(c_0_57_058,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_30])])]) ).
fof(c_0_58_059,plain,
! [X4,X5,X6] :
( v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| ~ r1_filter_2(X4,X5,X6)
| r1_filter_2(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_59_060,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X5,k18_filter_2(X4,X6))
| 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) )
& ( ~ r3_lattices(X4,X5,X6)
| r2_hidden(X5,k18_filter_2(X4,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_32])])])]) ).
fof(c_0_60_061,plain,
! [X4,X5,X6] :
( ( ~ r1_filter_2(X4,X5,X6)
| X5 = X6
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) )
& ( X5 != X6
| r1_filter_2(X4,X5,X6)
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_61_062,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v13_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| r3_lattices(X3,k5_lattices(X3),X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_62_063,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k18_filter_2(X3,X4) = a_2_0_filter_2(X3,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_63_064,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_36])])]) ).
fof(c_0_64_065,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_37])])])]) ).
fof(c_0_65_066,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(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_38])])])]) ).
fof(c_0_66_067,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk1_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_39])])])]) ).
fof(c_0_67_068,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m2_filter_2(esk9_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_68_069,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| m2_lattice4(esk8_1(X3),X3) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_69_070,plain,
! [X3] :
( ( m2_lattice4(esk6_1(X3),X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ v1_xboole_0(esk6_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_42])])])]) ).
fof(c_0_70_071,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).
fof(c_0_71_072,plain,
! [X3] :
( m1_subset_1(esk4_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk4_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_72_073,plain,
! [X3] : m1_subset_1(esk10_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).
fof(c_0_73_074,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_46])])])]) ).
fof(c_0_74_075,plain,
~ v1_xboole_0(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_47])]) ).
fof(c_0_75_076,plain,
( l1_struct_0(esk2_0)
& ~ v3_struct_0(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
fof(c_0_76_077,plain,
l1_lattices(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_49])]) ).
fof(c_0_77_078,plain,
l1_struct_0(esk13_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_50])]) ).
fof(c_0_78_079,plain,
l2_lattices(esk12_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_51])]) ).
fof(c_0_79_080,plain,
l3_lattices(esk11_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_52])]) ).
fof(c_0_80_081,plain,
v1_xboole_0(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_53])]) ).
cnf(c_0_81_082,plain,
( v3_struct_0(X1)
| r2_hidden(X4,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))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_82_083,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_83_084,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X4,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_84_085,plain,
( v3_struct_0(X2)
| r3_lattices(X2,esk7_3(X3,X2,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_85_086,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_56]) ).
cnf(c_0_86_087,plain,
( v3_struct_0(X2)
| m1_subset_1(esk7_3(X3,X2,X1),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_87_088,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_57]) ).
cnf(c_0_88_089,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_57]) ).
cnf(c_0_89_090,plain,
( v3_struct_0(X2)
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X4,X1)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_90_091,plain,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_91_092,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k18_filter_2(X1,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) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_92_093,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_56]) ).
cnf(c_0_93_094,plain,
( v3_struct_0(X1)
| r3_lattices(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))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_94_095,plain,
( v3_struct_0(X2)
| X3 = esk7_3(X3,X2,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_95_096,plain,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_96_097,plain,
( v1_xboole_0(X2)
| r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_97_098,plain,
( r3_lattices(X1,k5_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_98_099,plain,
( k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_99_100,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_63]) ).
cnf(c_0_100_101,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_101_102,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_102_103,plain,
( v3_struct_0(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_103_104,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_104_105,plain,
( m2_filter_2(esk9_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_105_106,plain,
( m2_lattice4(esk8_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_106_107,plain,
( v3_struct_0(X1)
| m2_lattice4(esk6_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_107_108,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_108_109,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_109_110,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_110_111,plain,
m1_subset_1(esk4_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_111_112,plain,
m1_subset_1(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_112_113,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_113_114,plain,
v1_xboole_0(esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_114_115,plain,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_115_116,plain,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_116_117,plain,
l1_lattices(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_117_118,plain,
l1_struct_0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_118_119,plain,
l2_lattices(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_119_120,plain,
l3_lattices(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_120_121,plain,
v1_xboole_0(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_121_122,plain,
l1_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_122_123,plain,
( v3_struct_0(X1)
| r2_hidden(X4,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))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
c_0_81,
[final] ).
cnf(c_0_123_124,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
c_0_82,
[final] ).
cnf(c_0_124_125,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X4,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
c_0_83,
[final] ).
cnf(c_0_125_126,plain,
( v3_struct_0(X2)
| r3_lattices(X2,esk7_3(X3,X2,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
c_0_84,
[final] ).
cnf(c_0_126_127,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_85,
[final] ).
cnf(c_0_127_128,plain,
( v3_struct_0(X2)
| m1_subset_1(esk7_3(X3,X2,X1),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
c_0_86,
[final] ).
cnf(c_0_128_129,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_87,
[final] ).
cnf(c_0_129_130,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_88,
[final] ).
cnf(c_0_130_131,plain,
( v3_struct_0(X2)
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X4,X1)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
c_0_89,
[final] ).
cnf(c_0_131_132,plain,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
c_0_90,
[final] ).
cnf(c_0_132_133,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k18_filter_2(X1,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) ),
c_0_91,
[final] ).
cnf(c_0_133_134,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_92,
[final] ).
cnf(c_0_134_135,plain,
( v3_struct_0(X1)
| r3_lattices(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))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
c_0_93,
[final] ).
cnf(c_0_135_136,plain,
( v3_struct_0(X2)
| esk7_3(X3,X2,X1) = X3
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
c_0_94,
[final] ).
cnf(c_0_136_137,plain,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
c_0_95,
[final] ).
cnf(c_0_137_138,plain,
( v1_xboole_0(X2)
| r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
c_0_96,
[final] ).
cnf(c_0_138_139,plain,
( r3_lattices(X1,k5_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_97,
[final] ).
cnf(c_0_139_140,plain,
( a_2_0_filter_2(X1,X2) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_98,
[final] ).
cnf(c_0_140_141,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_99,
[final] ).
cnf(c_0_141_142,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_100,
[final] ).
cnf(c_0_142_143,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
c_0_101,
[final] ).
cnf(c_0_143_144,plain,
( v3_struct_0(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_102,
[final] ).
cnf(c_0_144_145,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
c_0_103,
[final] ).
cnf(c_0_145_146,plain,
( m2_filter_2(esk9_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_104,
[final] ).
cnf(c_0_146_147,plain,
( m2_lattice4(esk8_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_105,
[final] ).
cnf(c_0_147_148,plain,
( v3_struct_0(X1)
| m2_lattice4(esk6_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_106,
[final] ).
cnf(c_0_148_149,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk6_1(X1)) ),
c_0_107,
[final] ).
cnf(c_0_149_150,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_108,
[final] ).
cnf(c_0_150_151,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
c_0_109,
[final] ).
cnf(c_0_151_152,plain,
m1_subset_1(esk4_1(X1),k1_zfmisc_1(X1)),
c_0_110,
[final] ).
cnf(c_0_152_153,plain,
m1_subset_1(esk10_1(X1),X1),
c_0_111,
[final] ).
cnf(c_0_153_154,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_112,
[final] ).
cnf(c_0_154_155,plain,
v1_xboole_0(esk4_1(X1)),
c_0_113,
[final] ).
cnf(c_0_155_156,plain,
~ v1_xboole_0(esk3_0),
c_0_114,
[final] ).
cnf(c_0_156_157,plain,
~ v3_struct_0(esk2_0),
c_0_115,
[final] ).
cnf(c_0_157_158,plain,
l1_lattices(esk14_0),
c_0_116,
[final] ).
cnf(c_0_158_159,plain,
l1_struct_0(esk13_0),
c_0_117,
[final] ).
cnf(c_0_159_160,plain,
l2_lattices(esk12_0),
c_0_118,
[final] ).
cnf(c_0_160_161,plain,
l3_lattices(esk11_0),
c_0_119,
[final] ).
cnf(c_0_161_162,plain,
v1_xboole_0(esk5_0),
c_0_120,
[final] ).
cnf(c_0_162_163,plain,
l1_struct_0(esk2_0),
c_0_121,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_122_0,axiom,
( v3_struct_0(X1)
| r2_hidden(X4,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))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( r2_hidden(X4,k22_filter_2(X1,X2,X3))
| 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))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_6,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_8,axiom,
( ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_9,axiom,
( ~ r3_lattices(X1,X2,X4)
| ~ r3_lattices(X1,X4,X3)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X4,k22_filter_2(X1,X2,X3))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( r3_lattices(X1,X2,X4)
| 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))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_6,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_8,axiom,
( ~ r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X4)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( v3_struct_0(X1)
| r3_lattices(X1,X4,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( r3_lattices(X1,X4,X3)
| 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))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_4,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_5,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_6,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_7,axiom,
( ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1)
| ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_8,axiom,
( ~ r2_hidden(X4,k22_filter_2(X1,X2,X3))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X4,X3)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
( v3_struct_0(X2)
| r3_lattices(X2,sk2_esk7_3(X3,X2,X1),X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( r3_lattices(X2,sk2_esk7_3(X3,X2,X1),X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,sk2_esk7_3(X3,X2,X1),X1)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_3,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,sk2_esk7_3(X3,X2,X1),X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,sk2_esk7_3(X3,X2,X1),X1)
| v3_struct_0(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_5,axiom,
( ~ r2_hidden(X3,a_2_0_filter_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r3_lattices(X2,sk2_esk7_3(X3,X2,X1),X1)
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_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_126]) ).
cnf(c_0_126_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_126]) ).
cnf(c_0_126_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_126]) ).
cnf(c_0_126_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_126]) ).
cnf(c_0_126_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_126]) ).
cnf(c_0_126_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_126]) ).
cnf(c_0_127_0,axiom,
( v3_struct_0(X2)
| m1_subset_1(sk2_esk7_3(X3,X2,X1),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( m1_subset_1(sk2_esk7_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(sk2_esk7_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(sk2_esk7_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(sk2_esk7_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_5,axiom,
( ~ r2_hidden(X3,a_2_0_filter_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| m1_subset_1(sk2_esk7_3(X3,X2,X1),u1_struct_0(X2))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_128_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_128]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_129_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_129]) ).
cnf(c_0_130_1,axiom,
( v3_struct_0(X2)
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X4,X1)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( r2_hidden(X3,a_2_0_filter_2(X2,X1))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X4,X1)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X4,X1)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_4,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X4,X1)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| v3_struct_0(X2)
| ~ r3_lattices(X2,X4,X1)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_6,axiom,
( ~ r3_lattices(X2,X4,X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| v3_struct_0(X2)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_7,axiom,
( X3 != X4
| ~ r3_lattices(X2,X4,X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| v3_struct_0(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_8,axiom,
( ~ m1_subset_1(X4,u1_struct_0(X2))
| X3 != X4
| ~ r3_lattices(X2,X4,X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_1,axiom,
( r1_filter_2(X1,X2,X3)
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ r1_filter_2(X1,X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_3,axiom,
( ~ r1_filter_2(X1,X3,X2)
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_4,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X3,X2)
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_5,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_filter_2(X1,X3,X2)
| v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_1,axiom,
( v3_struct_0(X1)
| r2_hidden(X2,k18_filter_2(X1,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) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_2,axiom,
( r2_hidden(X2,k18_filter_2(X1,X3))
| 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) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_3,axiom,
( ~ l3_lattices(X1)
| r2_hidden(X2,k18_filter_2(X1,X3))
| 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) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X2,k18_filter_2(X1,X3))
| 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) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_5,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X2,k18_filter_2(X1,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_6,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(X2,k18_filter_2(X1,X3))
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_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)
| r2_hidden(X2,k18_filter_2(X1,X3))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_1,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_133]) ).
cnf(c_0_133_2,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_133]) ).
cnf(c_0_133_3,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_133]) ).
cnf(c_0_133_4,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_133]) ).
cnf(c_0_133_5,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_133]) ).
cnf(c_0_133_6,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_133]) ).
cnf(c_0_134_1,axiom,
( v3_struct_0(X1)
| r3_lattices(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))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_2,axiom,
( r3_lattices(X1,X2,X3)
| 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))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_3,axiom,
( ~ l3_lattices(X1)
| r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_5,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_6,axiom,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_7,axiom,
( ~ r2_hidden(X2,k18_filter_2(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X2,X3)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_1,axiom,
( v3_struct_0(X2)
| sk2_esk7_3(X3,X2,X1) = X3
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_2,axiom,
( sk2_esk7_3(X3,X2,X1) = X3
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_3,axiom,
( ~ m1_subset_1(X1,u1_struct_0(X2))
| sk2_esk7_3(X3,X2,X1) = X3
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_4,axiom,
( ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| sk2_esk7_3(X3,X2,X1) = X3
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_5,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| sk2_esk7_3(X3,X2,X1) = X3
| v3_struct_0(X2)
| ~ r2_hidden(X3,a_2_0_filter_2(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_6,axiom,
( ~ r2_hidden(X3,a_2_0_filter_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| sk2_esk7_3(X3,X2,X1) = X3
| v3_struct_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_1,axiom,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_2,axiom,
( X3 = X1
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_3,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| X3 = X1
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_4,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| X3 = X1
| v1_xboole_0(X2)
| ~ r1_filter_2(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_5,axiom,
( ~ r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| X3 = X1
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_1,axiom,
( v1_xboole_0(X2)
| r1_filter_2(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_2,axiom,
( r1_filter_2(X2,X3,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_3,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_filter_2(X2,X3,X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_4,axiom,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_filter_2(X2,X3,X1)
| v1_xboole_0(X2)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_5,axiom,
( X3 != X1
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_filter_2(X2,X3,X1)
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_1,axiom,
( r3_lattices(X1,k5_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_2,axiom,
( v3_struct_0(X1)
| r3_lattices(X1,k5_lattices(X1),X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_3,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,k5_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_4,axiom,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,k5_lattices(X1),X2)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_5,axiom,
( ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,k5_lattices(X1),X2)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_6,axiom,
( ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| r3_lattices(X1,k5_lattices(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_1,axiom,
( a_2_0_filter_2(X1,X2) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( v3_struct_0(X1)
| a_2_0_filter_2(X1,X2) = k18_filter_2(X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_3,axiom,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| a_2_0_filter_2(X1,X2) = k18_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_4,axiom,
( ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| a_2_0_filter_2(X1,X2) = k18_filter_2(X1,X2)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_5,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| a_2_0_filter_2(X1,X2) = k18_filter_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_1,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_140]) ).
cnf(c_0_140_2,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_140]) ).
cnf(c_0_140_3,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_140]) ).
cnf(c_0_140_4,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_140]) ).
cnf(c_0_140_5,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_140]) ).
cnf(c_0_141_1,axiom,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_3,axiom,
( ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_1,axiom,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_2,axiom,
( m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_3,axiom,
( ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_5,axiom,
( ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(X2,X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_1,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_3,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_1,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_4,axiom,
( ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_5,axiom,
( ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_1,axiom,
( m2_filter_2(sk2_esk9_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_2,axiom,
( v3_struct_0(X1)
| m2_filter_2(sk2_esk9_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_3,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_filter_2(sk2_esk9_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_filter_2(sk2_esk9_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_1,axiom,
( m2_lattice4(sk2_esk8_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_2,axiom,
( v3_struct_0(X1)
| m2_lattice4(sk2_esk8_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_3,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(sk2_esk8_1(X1),X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(sk2_esk8_1(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_1,axiom,
( v3_struct_0(X1)
| m2_lattice4(sk2_esk6_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_2,axiom,
( m2_lattice4(sk2_esk6_1(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_3,axiom,
( ~ l3_lattices(X1)
| m2_lattice4(sk2_esk6_1(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_lattice4(sk2_esk6_1(X1),X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_1,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sk2_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_2,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(sk2_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_4,axiom,
( ~ v1_xboole_0(sk2_esk6_1(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_1,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_2,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_1,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_2,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_3,axiom,
( ~ v1_xboole_0(sk2_esk1_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_153_1,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_2,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_3,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_155_1,axiom,
~ v1_xboole_0(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_156_1,axiom,
~ v3_struct_0(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_151_1,axiom,
m1_subset_1(sk2_esk4_1(X1),k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_1,axiom,
m1_subset_1(sk2_esk10_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_154_1,axiom,
v1_xboole_0(sk2_esk4_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_157_1,axiom,
l1_lattices(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_1,axiom,
l1_struct_0(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_1,axiom,
l2_lattices(sk2_esk12_0),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_1,axiom,
l3_lattices(sk2_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_1,axiom,
v1_xboole_0(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_1,axiom,
l1_struct_0(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_164,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( v13_lattices(X1)
=> r1_filter_2(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X2)) ) ) ),
file('<stdin>',t67_filter_2) ).
fof(c_0_1_165,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( v13_lattices(X1)
=> r1_filter_2(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X2)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_166,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))
& v13_lattices(esk1_0)
& ~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_167,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_168,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_169,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_170,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_171,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_172,negated_conjecture,
v13_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_173,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),
c_0_3,
[final] ).
cnf(c_0_10_174,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
c_0_4,
[final] ).
cnf(c_0_11_175,negated_conjecture,
~ v3_struct_0(esk1_0),
c_0_5,
[final] ).
cnf(c_0_12_176,negated_conjecture,
v10_lattices(esk1_0),
c_0_6,
[final] ).
cnf(c_0_13_177,negated_conjecture,
l3_lattices(esk1_0),
c_0_7,
[final] ).
cnf(c_0_14_178,negated_conjecture,
v13_lattices(esk1_0),
c_0_8,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_5,plain,
( ~ r3_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X2,X3)
| ~ r3_lattices(X0,X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| r2_hidden(X2,k22_filter_2(X0,X1,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_122_5) ).
cnf(c_333,plain,
( ~ r3_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X2,X3)
| ~ r3_lattices(X0,X1,X3)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| r2_hidden(X2,k22_filter_2(X0,X1,X3))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0)) ),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_70235,plain,
( v3_struct_0(sk3_esk1_0)
| r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k22_filter_2(sk3_esk1_0,X0,X1))
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(X0,u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),X1)
| ~ r3_lattices(sk3_esk1_0,X0,sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)))
| ~ r3_lattices(sk3_esk1_0,X0,X1) ),
inference(instantiation,[status(thm)],[c_333]) ).
cnf(c_134969,plain,
( v3_struct_0(sk3_esk1_0)
| r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k22_filter_2(sk3_esk1_0,X0,sk3_esk2_0))
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),u1_struct_0(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))
| ~ r3_lattices(sk3_esk1_0,sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),sk3_esk2_0)
| ~ r3_lattices(sk3_esk1_0,X0,sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)))
| ~ r3_lattices(sk3_esk1_0,X0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_70235]) ).
cnf(c_553875,plain,
( v3_struct_0(sk3_esk1_0)
| r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0))
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(k5_lattices(sk3_esk1_0),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)))
| ~ r3_lattices(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)
| ~ r3_lattices(sk3_esk1_0,sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_134969]) ).
cnf(c_25,plain,
( ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| ~ r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| r3_lattices(X1,X0,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_124_6) ).
cnf(c_353,plain,
( ~ r2_hidden(X0,k22_filter_2(X1,X2,X3))
| ~ r3_lattices(X1,X2,X3)
| v3_struct_0(X1)
| r3_lattices(X1,X0,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(copy,[status(esa)],[c_25]) ).
cnf(c_26936,plain,
( v3_struct_0(X0)
| ~ r2_hidden(X1,k22_filter_2(X0,k5_lattices(X0),X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r3_lattices(X0,k5_lattices(X0),X2)
| r3_lattices(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_353]) ).
cnf(c_70170,plain,
( v3_struct_0(sk3_esk1_0)
| ~ r2_hidden(X0,k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0))
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(k5_lattices(sk3_esk1_0),u1_struct_0(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))
| ~ r3_lattices(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)
| r3_lattices(sk3_esk1_0,X0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_26936]) ).
cnf(c_71004,plain,
( v3_struct_0(sk3_esk1_0)
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0))
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(k5_lattices(sk3_esk1_0),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)
| r3_lattices(sk3_esk1_0,sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_70170]) ).
cnf(c_90,plain,
( ~ r2_hidden(X0,k18_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X0,X2)
| v3_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_134_1) ).
cnf(c_418,plain,
( ~ r2_hidden(X0,k18_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r3_lattices(X1,X0,X2)
| v3_struct_0(X1) ),
inference(copy,[status(esa)],[c_90]) ).
cnf(c_26757,plain,
( v3_struct_0(sk3_esk1_0)
| ~ r2_hidden(X0,k18_filter_2(sk3_esk1_0,sk3_esk2_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))
| r3_lattices(sk3_esk1_0,X0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_418]) ).
cnf(c_70437,plain,
( v3_struct_0(sk3_esk1_0)
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k18_filter_2(sk3_esk1_0,sk3_esk2_0))
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| r3_lattices(sk3_esk1_0,sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_26757]) ).
cnf(c_77,plain,
( ~ 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)
| r2_hidden(X1,k18_filter_2(X0,X2))
| v3_struct_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_132_1) ).
cnf(c_405,plain,
( ~ 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)
| r2_hidden(X1,k18_filter_2(X0,X2))
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_77]) ).
cnf(c_26730,plain,
( v3_struct_0(sk3_esk1_0)
| r2_hidden(X0,k18_filter_2(sk3_esk1_0,sk3_esk2_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))
| ~ r3_lattices(sk3_esk1_0,X0,sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_405]) ).
cnf(c_70439,plain,
( v3_struct_0(sk3_esk1_0)
| r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k18_filter_2(sk3_esk1_0,sk3_esk2_0))
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| ~ r3_lattices(sk3_esk1_0,sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_26730]) ).
cnf(c_118,plain,
( r3_lattices(X0,k5_lattices(X0),X1)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_138_6) ).
cnf(c_446,plain,
( r3_lattices(X0,k5_lattices(X0),X1)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0) ),
inference(copy,[status(esa)],[c_118]) ).
cnf(c_70344,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),u1_struct_0(sk3_esk1_0))
| r3_lattices(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)))
| ~ v13_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_446]) ).
cnf(c_127,plain,
( ~ v10_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_140_4) ).
cnf(c_455,plain,
( ~ v10_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0) ),
inference(copy,[status(esa)],[c_127]) ).
cnf(c_69356,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| m1_subset_1(k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ m2_lattice4(k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_455]) ).
cnf(c_69145,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| m1_subset_1(k18_filter_2(sk3_esk1_0,sk3_esk2_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ m2_lattice4(k18_filter_2(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_455]) ).
cnf(c_87,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_133_4) ).
cnf(c_415,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(k22_filter_2(X0,X1,X2),X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(copy,[status(esa)],[c_87]) ).
cnf(c_26638,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,X0,sk3_esk2_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_415]) ).
cnf(c_27013,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| ~ m1_subset_1(k5_lattices(sk3_esk1_0),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0))
| m2_lattice4(k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_26638]) ).
cnf(c_135,plain,
( ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_142_4) ).
cnf(c_463,plain,
( ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(copy,[status(esa)],[c_135]) ).
cnf(c_26992,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l3_lattices(sk3_esk1_0)
| ~ v10_lattices(sk3_esk1_0)
| m2_lattice4(k18_filter_2(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0)
| ~ m2_filter_2(k18_filter_2(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_463]) ).
cnf(c_222,plain,
( ~ r2_hidden(sk1_esk1_3(X0,X1,X2),X1)
| ~ r2_hidden(sk1_esk1_3(X0,X1,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_130_0) ).
cnf(c_550,plain,
( ~ r2_hidden(sk1_esk1_3(X0,X1,X2),X1)
| ~ r2_hidden(sk1_esk1_3(X0,X1,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0) ),
inference(copy,[status(esa)],[c_222]) ).
cnf(c_26882,plain,
( ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0))
| ~ r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k18_filter_2(sk3_esk1_0,sk3_esk2_0))
| ~ m1_subset_1(k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ m1_subset_1(k18_filter_2(sk3_esk1_0,sk3_esk2_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| v1_xboole_0(u1_struct_0(sk3_esk1_0))
| r1_filter_2(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_550]) ).
cnf(c_221,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(sk1_esk1_3(X1,X2,X0),X2)
| r2_hidden(sk1_esk1_3(X1,X2,X0),X0)
| r1_filter_2(X1,X2,X0)
| v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_131_0) ).
cnf(c_549,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(sk1_esk1_3(X1,X2,X0),X2)
| r2_hidden(sk1_esk1_3(X1,X2,X0),X0)
| r1_filter_2(X1,X2,X0)
| v1_xboole_0(X1) ),
inference(copy,[status(esa)],[c_221]) ).
cnf(c_26881,plain,
( r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0))
| r2_hidden(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),k18_filter_2(sk3_esk1_0,sk3_esk2_0))
| ~ m1_subset_1(k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ m1_subset_1(k18_filter_2(sk3_esk1_0,sk3_esk2_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| v1_xboole_0(u1_struct_0(sk3_esk1_0))
| r1_filter_2(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_549]) ).
cnf(c_220,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(sk1_esk1_3(X1,X2,X0),X1)
| r1_filter_2(X1,X2,X0)
| v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_132_0) ).
cnf(c_548,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(sk1_esk1_3(X1,X2,X0),X1)
| r1_filter_2(X1,X2,X0)
| v1_xboole_0(X1) ),
inference(copy,[status(esa)],[c_220]) ).
cnf(c_26695,plain,
( ~ m1_subset_1(k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| ~ m1_subset_1(k18_filter_2(sk3_esk1_0,sk3_esk2_0),k1_zfmisc_1(u1_struct_0(sk3_esk1_0)))
| m1_subset_1(sk1_esk1_3(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),u1_struct_0(sk3_esk1_0))
| v1_xboole_0(u1_struct_0(sk3_esk1_0))
| r1_filter_2(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_548]) ).
cnf(c_113,plain,
( ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r3_lattices(X0,k5_lattices(X0),X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_138_1) ).
cnf(c_441,plain,
( ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| r3_lattices(X0,k5_lattices(X0),X1) ),
inference(copy,[status(esa)],[c_113]) ).
cnf(c_26536,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))
| r3_lattices(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)
| ~ v13_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_212,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| m2_filter_2(k18_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_140_0) ).
cnf(c_540,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| m2_filter_2(k18_filter_2(X0,X1),X0) ),
inference(copy,[status(esa)],[c_212]) ).
cnf(c_26531,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))
| m2_filter_2(k18_filter_2(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_540]) ).
cnf(c_191,plain,
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_161_0) ).
cnf(c_254,plain,
( l1_struct_0(sk3_esk1_0)
| ~ l2_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_191]) ).
cnf(c_192,plain,
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_160_0) ).
cnf(c_253,plain,
( ~ l3_lattices(sk3_esk1_0)
| l2_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_193,plain,
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_159_0) ).
cnf(c_252,plain,
( ~ l3_lattices(sk3_esk1_0)
| l1_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_193]) ).
cnf(c_194,plain,
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_158_0) ).
cnf(c_251,plain,
( v3_struct_0(sk3_esk1_0)
| m1_subset_1(k5_lattices(sk3_esk1_0),u1_struct_0(sk3_esk1_0))
| ~ l1_lattices(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_195,plain,
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_157_0) ).
cnf(c_250,plain,
( v3_struct_0(sk3_esk1_0)
| ~ v1_xboole_0(u1_struct_0(sk3_esk1_0))
| ~ l1_struct_0(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_223,negated_conjecture,
~ r1_filter_2(u1_struct_0(sk3_esk1_0),k18_filter_2(sk3_esk1_0,sk3_esk2_0),k22_filter_2(sk3_esk1_0,k5_lattices(sk3_esk1_0),sk3_esk2_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_9) ).
cnf(c_224,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_11) ).
cnf(c_225,negated_conjecture,
m1_subset_1(sk3_esk2_0,u1_struct_0(sk3_esk1_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_10) ).
cnf(c_226,negated_conjecture,
v10_lattices(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_12) ).
cnf(c_227,negated_conjecture,
l3_lattices(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_13) ).
cnf(c_228,negated_conjecture,
v13_lattices(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_741ac2.p',c_0_14) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_553875,c_71004,c_70437,c_70439,c_70344,c_69356,c_69145,c_27013,c_26992,c_26882,c_26881,c_26695,c_26536,c_26531,c_254,c_253,c_252,c_251,c_250,c_223,c_224,c_225,c_226,c_227,c_228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT330+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 06:14:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.20/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.42 % FOF problem with conjecture
% 0.20/0.42 % 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_ed398e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_741ac2.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_db33a4 | grep -v "SZS"
% 0.20/0.44
% 0.20/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ iProver source info
% 0.20/0.44
% 0.20/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44 % git: non_committed_changes: true
% 0.20/0.44 % git: last_make_outside_of_git: true
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.47 % --bmc1_dump_file -
% 0.20/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.47 % --bmc1_ucm_extend_mode 1
% 0.20/0.47 % --bmc1_ucm_init_mode 2
% 0.20/0.47 % --bmc1_ucm_cone_mode none
% 0.20/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.47 % --bmc1_ucm_relax_model 4
% 0.20/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.47 % --bmc1_ucm_layered_model none
% 0.20/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.47
% 0.20/0.47 % ------ AIG Options
% 0.20/0.47
% 0.20/0.47 % --aig_mode false
% 0.20/0.47
% 0.20/0.47 % ------ Instantiation Options
% 0.20/0.47
% 0.20/0.47 % --instantiation_flag true
% 0.20/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.47 % --inst_solver_per_active 750
% 0.20/0.47 % --inst_solver_calls_frac 0.5
% 0.20/0.47 % --inst_passive_queue_type priority_queues
% 0.20/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.47 % --inst_passive_queues_freq [25;2]
% 0.20/0.47 % --inst_dismatching true
% 0.20/0.47 % --inst_eager_unprocessed_to_passive true
% 0.20/0.47 % --inst_prop_sim_given true
% 0.20/0.47 % --inst_prop_sim_new false
% 0.20/0.47 % --inst_orphan_elimination true
% 0.20/0.47 % --inst_learning_loop_flag true
% 0.20/0.47 % --inst_learning_start 3000
% 0.20/0.47 % --inst_learning_factor 2
% 0.20/0.47 % --inst_start_prop_sim_after_learn 3
% 0.20/0.47 % --inst_sel_renew solver
% 0.20/0.47 % --inst_lit_activity_flag true
% 0.20/0.47 % --inst_out_proof true
% 0.20/0.47
% 0.20/0.47 % ------ Resolution Options
% 0.20/0.47
% 0.20/0.47 % --resolution_flag true
% 0.20/0.47 % --res_lit_sel kbo_max
% 0.20/0.47 % --res_to_prop_solver none
% 0.20/0.47 % --res_prop_simpl_new false
% 0.20/0.47 % --res_prop_simpl_given false
% 0.20/0.47 % --res_passive_queue_type priority_queues
% 0.20/0.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.47 % --res_passive_queues_freq [15;5]
% 0.20/0.47 % --res_forward_subs full
% 0.20/0.47 % --res_backward_subs full
% 0.20/0.47 % --res_forward_subs_resolution true
% 0.20/0.47 % --res_backward_subs_resolution true
% 0.20/0.47 % --res_orphan_elimination false
% 0.20/0.47 % --res_time_limit 1000.
% 0.20/0.47 % --res_out_proof true
% 0.20/0.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_ed398e.s
% 0.20/0.47 % --modulo true
% 0.20/0.47
% 0.20/0.47 % ------ Combination Options
% 0.20/0.47
% 0.20/0.47 % --comb_res_mult 1000
% 0.20/0.47 % --comb_inst_mult 300
% 0.20/0.47 % ------
% 0.20/0.47
% 0.20/0.47 % ------ Parsing...% successful
% 0.20/0.47
% 0.20/0.47 % ------ 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 %
% 0.20/0.47
% 0.20/0.47 % ------ Proving...
% 0.20/0.47 % ------ Problem Properties
% 0.20/0.47
% 0.20/0.47 %
% 0.20/0.47 % EPR false
% 0.20/0.47 % Horn false
% 0.20/0.47 % Has equality true
% 0.20/0.47
% 0.20/0.47 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 % % ------ Current options:
% 0.20/0.47
% 0.20/0.47 % ------ Input Options
% 0.20/0.47
% 0.20/0.47 % --out_options all
% 0.20/0.47 % --tptp_safe_out true
% 0.20/0.47 % --problem_path ""
% 0.20/0.47 % --include_path ""
% 0.20/0.47 % --clausifier .//eprover
% 0.20/0.47 % --clausifier_options --tstp-format
% 0.20/0.47 % --stdin false
% 0.20/0.47 % --dbg_backtrace false
% 0.20/0.47 % --dbg_dump_prop_clauses false
% 0.20/0.47 % --dbg_dump_prop_clauses_file -
% 0.20/0.47 % --dbg_out_stat false
% 0.20/0.47
% 0.20/0.47 % ------ General Options
% 0.20/0.47
% 0.20/0.47 % --fof false
% 0.20/0.47 % --time_out_real 150.
% 0.20/0.47 % --time_out_prep_mult 0.2
% 0.20/0.47 % --time_out_virtual -1.
% 0.20/0.47 % --schedule none
% 0.20/0.47 % --ground_splitting input
% 0.20/0.47 % --splitting_nvd 16
% 0.20/0.47 % --non_eq_to_eq false
% 0.20/0.47 % --prep_gs_sim true
% 0.20/0.47 % --prep_unflatten false
% 0.20/0.47 % --prep_res_sim true
% 0.20/0.47 % --prep_upred true
% 0.20/0.47 % --res_sim_input true
% 0.20/0.47 % --clause_weak_htbl true
% 0.20/0.47 % --gc_record_bc_elim false
% 0.20/0.47 % --symbol_type_check false
% 0.20/0.47 % --clausify_out false
% 0.20/0.47 % --large_theory_mode false
% 0.20/0.47 % --prep_sem_filter none
% 0.20/0.47 % --prep_sem_filter_out false
% 0.20/0.47 % --preprocessed_out false
% 0.20/0.47 % --sub_typing false
% 0.20/0.47 % --brand_transform false
% 0.20/0.47 % --pure_diseq_elim true
% 0.20/0.47 % --min_unsat_core false
% 0.20/0.47 % --pred_elim true
% 0.20/0.47 % --add_important_lit false
% 0.20/0.47 % --soft_assumptions false
% 0.20/0.47 % --reset_solvers false
% 0.20/0.47 % --bc_imp_inh []
% 0.20/0.47 % --conj_cone_tolerance 1.5
% 0.20/0.47 % --prolific_symb_bound 500
% 0.20/0.47 % --lt_threshold 2000
% 0.20/0.47
% 0.20/0.47 % ------ SAT Options
% 0.20/0.47
% 0.20/0.47 % --sat_mode false
% 0.20/0.47 % --sat_fm_restart_options ""
% 0.20/0.47 % --sat_gr_def false
% 0.20/0.47 % --sat_epr_types true
% 0.20/0.47 % --sat_non_cyclic_types false
% 0.20/0.47 % --sat_finite_models false
% 0.20/0.47 % --sat_fm_lemmas false
% 0.20/0.47 % --sat_fm_prep false
% 0.20/0.47 % --sat_fm_uc_incr true
% 0.20/0.47 % --sat_out_model small
% 0.20/0.47 % --sat_out_clauses false
% 0.20/0.47
% 0.20/0.47 % ------ QBF Options
% 0.20/0.47
% 0.20/0.47 % --qbf_mode false
% 0.20/0.47 % --qbf_elim_univ true
% 0.20/0.47 % --qbf_sk_in true
% 0.20/0.47 % --qbf_pred_elim true
% 0.20/0.47 % --qbf_split 32
% 0.20/0.47
% 0.20/0.47 % ------ BMC1 Options
% 0.20/0.47
% 0.20/0.47 % --bmc1_incremental false
% 0.20/0.47 % --bmc1_axioms reachable_all
% 0.20/0.47 % --bmc1_min_bound 0
% 0.20/0.47 % --bmc1_max_bound -1
% 0.20/0.47 % --bmc1_max_bound_default -1
% 0.20/0.47 % --bmc1_symbol_reachability true
% 0.20/0.47 % --bmc1_property_lemmas false
% 0.20/0.47 % --bmc1_k_induction false
% 0.20/0.47 % --bmc1_non_equiv_states false
% 0.20/0.47 % --bmc1_deadlock false
% 0.20/0.47 % --bmc1_ucm false
% 0.20/0.47 % --bmc1_add_unsat_core none
% 0.20/0.47 % --bmc1_unsat_core_children false
% 0.20/0.47 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.47 % --bmc1_out_stat full
% 0.20/0.47 % --bmc1_ground_init false
% 0.20/0.47 % --bmc1_pre_inst_next_state false
% 0.20/0.47 % --bmc1_pre_inst_state false
% 0.20/0.47 % --bmc1_pre_inst_reach_state false
% 0.20/0.47 % --bmc1_out_unsat_core false
% 0.20/0.47 % --bmc1_aig_witness_out false
% 0.20/0.47 % --bmc1_verbose false
% 0.20/0.47 % --bmc1_dump_clauses_tptp false
% 0.20/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.47 % --bmc1_dump_file -
% 0.20/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.47 % --bmc1_ucm_extend_mode 1
% 0.20/0.47 % --bmc1_ucm_init_mode 2
% 0.20/0.47 % --bmc1_ucm_cone_mode none
% 0.20/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.47 % --bmc1_ucm_relax_model 4
% 0.20/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.47 % --bmc1_ucm_layered_model none
% 0.20/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.47
% 0.20/0.47 % ------ AIG Options
% 0.20/0.47
% 0.20/0.47 % --aig_mode false
% 0.20/0.47
% 0.20/0.47 % ------ Instantiation Options
% 0.20/0.47
% 0.20/0.47 % --instantiation_flag true
% 0.20/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.47 % --inst_solver_per_active 750
% 0.20/0.47 % --inst_solver_calls_frac 0.5
% 0.20/0.47 % --inst_passive_queue_type priority_queues
% 0.20/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.47 % --inst_passive_queues_freq [25;2]
% 0.20/0.47 % --inst_dismatching true
% 0.20/0.47 % --inst_eager_unprocessed_to_passive true
% 0.20/0.47 % --inst_prop_sim_given true
% 58.86/59.05 % --inst_prop_sim_new false
% 58.86/59.05 % --inst_orphan_elimination true
% 58.86/59.05 % --inst_learning_loop_flag true
% 58.86/59.05 % --inst_learning_start 3000
% 58.86/59.05 % --inst_learning_factor 2
% 58.86/59.05 % --inst_start_prop_sim_after_learn 3
% 58.86/59.05 % --inst_sel_renew solver
% 58.86/59.05 % --inst_lit_activity_flag true
% 58.86/59.05 % --inst_out_proof true
% 58.86/59.05
% 58.86/59.05 % ------ Resolution Options
% 58.86/59.05
% 58.86/59.05 % --resolution_flag true
% 58.86/59.05 % --res_lit_sel kbo_max
% 58.86/59.05 % --res_to_prop_solver none
% 58.86/59.05 % --res_prop_simpl_new false
% 58.86/59.05 % --res_prop_simpl_given false
% 58.86/59.05 % --res_passive_queue_type priority_queues
% 58.86/59.05 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 58.86/59.05 % --res_passive_queues_freq [15;5]
% 58.86/59.05 % --res_forward_subs full
% 58.86/59.05 % --res_backward_subs full
% 58.86/59.05 % --res_forward_subs_resolution true
% 58.86/59.05 % --res_backward_subs_resolution true
% 58.86/59.05 % --res_orphan_elimination false
% 58.86/59.05 % --res_time_limit 1000.
% 58.86/59.05 % --res_out_proof true
% 58.86/59.05 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_ed398e.s
% 58.86/59.05 % --modulo true
% 58.86/59.05
% 58.86/59.05 % ------ Combination Options
% 58.86/59.05
% 58.86/59.05 % --comb_res_mult 1000
% 58.86/59.05 % --comb_inst_mult 300
% 58.86/59.05 % ------
% 58.86/59.05
% 58.86/59.05
% 58.86/59.05
% 58.86/59.05 % ------ Proving...
% 58.86/59.05 %
% 58.86/59.05
% 58.86/59.05
% 58.86/59.05 % ------ Statistics
% 58.86/59.05
% 58.86/59.05 % ------ General
% 58.86/59.05
% 58.86/59.05 % num_of_input_clauses: 229
% 58.86/59.05 % num_of_input_neg_conjectures: 6
% 58.86/59.05 % num_of_splits: 0
% 58.86/59.05 % num_of_split_atoms: 0
% 58.86/59.05 % num_of_sem_filtered_clauses: 0
% 58.86/59.05 % num_of_subtypes: 0
% 58.86/59.05 % monotx_restored_types: 0
% 58.86/59.05 % sat_num_of_epr_types: 0
% 58.86/59.05 % sat_num_of_non_cyclic_types: 0
% 58.86/59.05 % sat_guarded_non_collapsed_types: 0
% 58.86/59.05 % is_epr: 0
% 58.86/59.05 % is_horn: 0
% 58.86/59.06 % has_eq: 1
% 58.86/59.06 % num_pure_diseq_elim: 0
% 58.86/59.06 % simp_replaced_by: 0
% 58.86/59.06 % res_preprocessed: 12
% 58.86/59.06 % prep_upred: 0
% 58.86/59.06 % prep_unflattend: 0
% 58.86/59.06 % pred_elim_cands: 0
% 58.86/59.06 % pred_elim: 0
% 58.86/59.06 % pred_elim_cl: 0
% 58.86/59.06 % pred_elim_cycles: 0
% 58.86/59.06 % forced_gc_time: 0
% 58.86/59.06 % gc_basic_clause_elim: 0
% 58.86/59.06 % parsing_time: 0.013
% 58.86/59.06 % sem_filter_time: 0.
% 58.86/59.06 % pred_elim_time: 0.
% 58.86/59.06 % out_proof_time: 0.002
% 58.86/59.06 % monotx_time: 0.
% 58.86/59.06 % subtype_inf_time: 0.
% 58.86/59.06 % unif_index_cands_time: 0.037
% 58.86/59.06 % unif_index_add_time: 0.022
% 58.86/59.06 % total_time: 58.628
% 58.86/59.06 % num_of_symbols: 74
% 58.86/59.06 % num_of_terms: 84950
% 58.86/59.06
% 58.86/59.06 % ------ Propositional Solver
% 58.86/59.06
% 58.86/59.06 % prop_solver_calls: 10
% 58.86/59.06 % prop_fast_solver_calls: 18
% 58.86/59.06 % prop_num_of_clauses: 4920
% 58.86/59.06 % prop_preprocess_simplified: 5755
% 58.86/59.06 % prop_fo_subsumed: 0
% 58.86/59.06 % prop_solver_time: 0.002
% 58.86/59.06 % prop_fast_solver_time: 0.
% 58.86/59.06 % prop_unsat_core_time: 0.
% 58.86/59.06
% 58.86/59.06 % ------ QBF
% 58.86/59.06
% 58.86/59.06 % qbf_q_res: 0
% 58.86/59.06 % qbf_num_tautologies: 0
% 58.86/59.06 % qbf_prep_cycles: 0
% 58.86/59.06
% 58.86/59.06 % ------ BMC1
% 58.86/59.06
% 58.86/59.06 % bmc1_current_bound: -1
% 58.86/59.06 % bmc1_last_solved_bound: -1
% 58.86/59.06 % bmc1_unsat_core_size: -1
% 58.86/59.06 % bmc1_unsat_core_parents_size: -1
% 58.86/59.06 % bmc1_merge_next_fun: 0
% 58.86/59.06 % bmc1_unsat_core_clauses_time: 0.
% 58.86/59.06
% 58.86/59.06 % ------ Instantiation
% 58.86/59.06
% 58.86/59.06 % inst_num_of_clauses: 3083
% 58.86/59.06 % inst_num_in_passive: 1036
% 58.86/59.06 % inst_num_in_active: 1630
% 58.86/59.06 % inst_num_in_unprocessed: 392
% 58.86/59.06 % inst_num_of_loops: 2086
% 58.86/59.06 % inst_num_of_learning_restarts: 0
% 58.86/59.06 % inst_num_moves_active_passive: 433
% 58.86/59.06 % inst_lit_activity: 517
% 58.86/59.06 % inst_lit_activity_moves: 2
% 58.86/59.06 % inst_num_tautologies: 21
% 58.86/59.06 % inst_num_prop_implied: 0
% 58.86/59.06 % inst_num_existing_simplified: 0
% 58.86/59.06 % inst_num_eq_res_simplified: 2
% 58.86/59.06 % inst_num_child_elim: 0
% 58.86/59.06 % inst_num_of_dismatching_blockings: 2143
% 58.86/59.06 % inst_num_of_non_proper_insts: 4509
% 58.86/59.06 % inst_num_of_duplicates: 4346
% 58.86/59.06 % inst_inst_num_from_inst_to_res: 0
% 58.86/59.06 % inst_dismatching_checking_time: 0.008
% 58.86/59.06
% 58.86/59.06 % ------ Resolution
% 58.86/59.06
% 58.86/59.06 % res_num_of_clauses: 91971
% 58.86/59.06 % res_num_in_passive: 86891
% 58.86/59.06 % res_num_in_active: 4762
% 58.86/59.06 % res_num_of_loops: 7000
% 58.86/59.06 % res_forward_subset_subsumed: 57190
% 58.86/59.06 % res_backward_subset_subsumed: 9
% 58.86/59.06 % res_forward_subsumed: 718
% 58.86/59.06 % res_backward_subsumed: 4
% 58.86/59.06 % res_forward_subsumption_resolution: 5535
% 58.86/59.06 % res_backward_subsumption_resolution: 2
% 58.86/59.06 % res_clause_to_clause_subsumption: 1626351
% 58.86/59.06 % res_orphan_elimination: 0
% 58.86/59.06 % res_tautology_del: 6011
% 58.86/59.06 % res_num_eq_res_simplified: 0
% 58.86/59.06 % res_num_sel_changes: 0
% 58.86/59.06 % res_moves_from_active_to_pass: 0
% 58.86/59.06
% 58.86/59.06 % Status Unsatisfiable
% 58.86/59.06 % SZS status Theorem
% 58.86/59.06 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------