TSTP Solution File: LAT346+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n004.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 05:24:58 EDT 2022
% Result : Theorem 5.25s 5.42s
% Output : CNFRefutation 5.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
input ).
fof(t6_boole_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| A = k1_xboole_0 ),
inference(orientation,[status(thm)],[t6_boole]) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
input ).
fof(t4_subset_0,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(orientation,[status(thm)],[t4_subset]) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
input ).
fof(t3_subset_0,plain,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t3_subset_1,plain,
! [A,B] :
( ~ m1_subset_1(A,k1_zfmisc_1(B))
| r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
input ).
fof(t2_subset_0,plain,
! [A,B] :
( ~ m1_subset_1(A,B)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(orientation,[status(thm)],[t2_subset]) ).
fof(t21_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ),
input ).
fof(t21_conlat_2_0,plain,
! [A] :
( v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A)))
| ~ ( ~ v3_conlat_1(A)
& l2_conlat_1(A) ) ),
inference(orientation,[status(thm)],[t21_conlat_2]) ).
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_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_1,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) )
=> r1_filter_1(A,A) ),
input ).
fof(reflexivity_r1_filter_1_0,plain,
! [A,B] :
( r1_filter_1(A,A)
| ~ ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) ) ),
inference(orientation,[status(thm)],[reflexivity_r1_filter_1]) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
input ).
fof(redefinition_m2_relset_1_0,plain,
! [A,B,C] :
( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(redefinition_m2_relset_1_1,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(redefinition_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k6_relset_1(A,B,C) = k4_relat_1(C) ),
input ).
fof(redefinition_k6_relset_1_0,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| k6_relset_1(A,B,C) = k4_relat_1(C) ),
inference(orientation,[status(thm)],[redefinition_k6_relset_1]) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
input ).
fof(rc1_subset_1_0,plain,
! [A] :
( v1_xboole_0(A)
| ? [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
& ~ v1_xboole_0(B) ) ),
inference(orientation,[status(thm)],[rc1_subset_1]) ).
fof(involutiveness_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k6_relset_1(A,B,k6_relset_1(A,B,C)) = C ),
input ).
fof(involutiveness_k6_relset_1_0,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| k6_relset_1(A,B,k6_relset_1(A,B,C)) = C ),
inference(orientation,[status(thm)],[involutiveness_k6_relset_1]) ).
fof(involutiveness_k4_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k4_relat_1(k4_relat_1(A)) = A ),
input ).
fof(involutiveness_k4_relat_1_0,plain,
! [A] :
( ~ v1_relat_1(A)
| k4_relat_1(k4_relat_1(A)) = A ),
inference(orientation,[status(thm)],[involutiveness_k4_relat_1]) ).
fof(free_g2_conlat_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ! [D,E,F] :
( g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F)
=> ( A = D
& B = E
& C = F ) ) ),
input ).
fof(free_g2_conlat_1_0,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| ! [D,E,F] :
( g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F)
=> ( A = D
& B = E
& C = F ) ) ),
inference(orientation,[status(thm)],[free_g2_conlat_1]) ).
fof(fc4_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B) )
=> ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
input ).
fof(fc4_subset_1_0,plain,
! [A,B] :
( ~ v1_xboole_0(k2_zfmisc_1(A,B))
| ~ ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B) ) ),
inference(orientation,[status(thm)],[fc4_subset_1]) ).
fof(fc2_conlat_1,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l1_conlat_1(A) )
=> ~ v1_xboole_0(u1_conlat_1(A)) ),
input ).
fof(fc2_conlat_1_0,plain,
! [A] :
( ~ v1_xboole_0(u1_conlat_1(A))
| ~ ( ~ v3_conlat_1(A)
& l1_conlat_1(A) ) ),
inference(orientation,[status(thm)],[fc2_conlat_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(fc1_conlat_1,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l1_conlat_1(A) )
=> ~ v1_xboole_0(u2_conlat_1(A)) ),
input ).
fof(fc1_conlat_1_0,plain,
! [A] :
( ~ v1_xboole_0(u2_conlat_1(A))
| ~ ( ~ v3_conlat_1(A)
& l1_conlat_1(A) ) ),
inference(orientation,[status(thm)],[fc1_conlat_1]) ).
fof(dt_u3_conlat_1,axiom,
! [A] :
( l2_conlat_1(A)
=> m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)) ),
input ).
fof(dt_u3_conlat_1_0,plain,
! [A] :
( ~ l2_conlat_1(A)
| m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)) ),
inference(orientation,[status(thm)],[dt_u3_conlat_1]) ).
fof(dt_u2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
input ).
fof(dt_u2_lattices_0,plain,
! [A] :
( ~ l2_lattices(A)
| ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[dt_u2_lattices]) ).
fof(dt_u2_conlat_1,axiom,
$true,
input ).
fof(dt_u2_conlat_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u2_conlat_1]) ).
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_u1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
input ).
fof(dt_u1_lattices_0,plain,
! [A] :
( ~ l1_lattices(A)
| ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[dt_u1_lattices]) ).
fof(dt_u1_conlat_1,axiom,
$true,
input ).
fof(dt_u1_conlat_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_conlat_1]) ).
fof(dt_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
input ).
fof(dt_m2_relset_1_0,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(orientation,[status(thm)],[dt_m2_relset_1]) ).
fof(dt_m1_subset_1,axiom,
$true,
input ).
fof(dt_m1_subset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_subset_1]) ).
fof(dt_m1_relset_1,axiom,
$true,
input ).
fof(dt_m1_relset_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_m1_relset_1]) ).
fof(dt_l3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( l1_lattices(A)
& l2_lattices(A) ) ),
input ).
fof(dt_l3_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(orientation,[status(thm)],[dt_l3_lattices]) ).
fof(dt_l2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l2_lattices_0,plain,
! [A] :
( ~ l2_lattices(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l2_lattices]) ).
fof(dt_l2_conlat_1,axiom,
! [A] :
( l2_conlat_1(A)
=> l1_conlat_1(A) ),
input ).
fof(dt_l2_conlat_1_0,plain,
! [A] :
( ~ l2_conlat_1(A)
| l1_conlat_1(A) ),
inference(orientation,[status(thm)],[dt_l2_conlat_1]) ).
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_l1_conlat_1,axiom,
$true,
input ).
fof(dt_l1_conlat_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_l1_conlat_1]) ).
fof(dt_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k6_relset_1(A,B,C),B,A) ),
input ).
fof(dt_k6_relset_1_0,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| m2_relset_1(k6_relset_1(A,B,C),B,A) ),
inference(orientation,[status(thm)],[dt_k6_relset_1]) ).
fof(dt_k4_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> v1_relat_1(k4_relat_1(A)) ),
input ).
fof(dt_k4_relat_1_0,plain,
! [A] :
( ~ v1_relat_1(A)
| v1_relat_1(k4_relat_1(A)) ),
inference(orientation,[status(thm)],[dt_k4_relat_1]) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
input ).
fof(dt_k2_zfmisc_1_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_k2_zfmisc_1]) ).
fof(dt_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_k1_lattice2,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
input ).
fof(dt_k1_lattice2_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
inference(orientation,[status(thm)],[dt_k1_lattice2]) ).
fof(dt_k10_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ),
input ).
fof(dt_k10_conlat_2_0,plain,
! [A] :
( m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A)))
| ~ ( ~ v3_conlat_1(A)
& l2_conlat_1(A) ) ),
inference(orientation,[status(thm)],[dt_k10_conlat_2]) ).
fof(dt_g2_conlat_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( v4_conlat_1(g2_conlat_1(A,B,C))
& l2_conlat_1(g2_conlat_1(A,B,C)) ) ),
input ).
fof(dt_g2_conlat_1_0,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| ( v4_conlat_1(g2_conlat_1(A,B,C))
& l2_conlat_1(g2_conlat_1(A,B,C)) ) ),
inference(orientation,[status(thm)],[dt_g2_conlat_1]) ).
fof(d7_conlat_2,axiom,
! [A] :
( ( ~ v3_conlat_1(A)
& l2_conlat_1(A) )
=> k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))) ),
input ).
fof(d7_conlat_2_0,plain,
! [A] :
( k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)))
| ~ ( ~ v3_conlat_1(A)
& l2_conlat_1(A) ) ),
inference(orientation,[status(thm)],[d7_conlat_2]) ).
fof(cc5_funct_2,axiom,
! [A,B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_1(C)
& v1_funct_2(C,A,B) )
=> ( v1_funct_1(C)
& v1_partfun1(C,A,B)
& v1_funct_2(C,A,B) ) ) ) ),
input ).
fof(cc5_funct_2_0,plain,
! [A,B] :
( v1_xboole_0(B)
| ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_1(C)
& v1_funct_2(C,A,B) )
=> ( v1_funct_1(C)
& v1_partfun1(C,A,B)
& v1_funct_2(C,A,B) ) ) ) ),
inference(orientation,[status(thm)],[cc5_funct_2]) ).
fof(cc4_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
input ).
fof(cc4_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc4_lattices]) ).
fof(cc3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) )
=> ( ~ v3_struct_0(A)
& v15_lattices(A) ) ) ),
input ).
fof(cc3_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) )
=> ( ~ v3_struct_0(A)
& v15_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc3_lattices]) ).
fof(cc2_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
input ).
fof(cc2_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc2_lattices]) ).
fof(cc1_relset_1,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
input ).
fof(cc1_relset_1_0,plain,
! [A,B,C] :
( ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| v1_relat_1(C) ),
inference(orientation,[status(thm)],[cc1_relset_1]) ).
fof(cc1_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
input ).
fof(cc1_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
inference(orientation,[status(thm)],[cc1_lattices]) ).
fof(cc1_funct_2,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_1(C)
& v1_partfun1(C,A,B) )
=> ( v1_funct_1(C)
& v1_funct_2(C,A,B) ) ) ),
input ).
fof(cc1_funct_2_0,plain,
! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| ( ( v1_funct_1(C)
& v1_partfun1(C,A,B) )
=> ( v1_funct_1(C)
& v1_funct_2(C,A,B) ) ) ),
inference(orientation,[status(thm)],[cc1_funct_2]) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
input ).
fof(antisymmetry_r2_hidden_0,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| ~ r2_hidden(B,A) ),
inference(orientation,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(abstractness_v4_conlat_1,axiom,
! [A] :
( l2_conlat_1(A)
=> ( v4_conlat_1(A)
=> A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)) ) ),
input ).
fof(abstractness_v4_conlat_1_0,plain,
! [A] :
( ~ l2_conlat_1(A)
| ( v4_conlat_1(A)
=> A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)) ) ),
inference(orientation,[status(thm)],[abstractness_v4_conlat_1]) ).
fof(abstractness_v3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
input ).
fof(abstractness_v3_lattices_0,plain,
! [A] :
( ~ l3_lattices(A)
| ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
inference(orientation,[status(thm)],[abstractness_v3_lattices]) ).
fof(def_lhs_atom1,axiom,
! [A] :
( lhs_atom1(A)
<=> ~ l3_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A] :
( lhs_atom1(A)
| ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
inference(fold_definition,[status(thm)],[abstractness_v3_lattices_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [A] :
( lhs_atom2(A)
<=> ~ l2_conlat_1(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [A] :
( lhs_atom2(A)
| ( v4_conlat_1(A)
=> A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)) ) ),
inference(fold_definition,[status(thm)],[abstractness_v4_conlat_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [B,A] :
( lhs_atom3(B,A)
<=> ~ r2_hidden(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [A,B] :
( lhs_atom3(B,A)
| ~ r2_hidden(B,A) ),
inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [C,B,A] :
( lhs_atom4(C,B,A)
<=> ~ m1_relset_1(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [A,B,C] :
( lhs_atom4(C,B,A)
| ( ( v1_funct_1(C)
& v1_partfun1(C,A,B) )
=> ( v1_funct_1(C)
& v1_funct_2(C,A,B) ) ) ),
inference(fold_definition,[status(thm)],[cc1_funct_2_0,def_lhs_atom4]) ).
fof(to_be_clausified_4,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v10_lattices(A) )
=> ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc1_lattices_0,def_lhs_atom1]) ).
fof(def_lhs_atom5,axiom,
! [C,B,A] :
( lhs_atom5(C,B,A)
<=> ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [A,B,C] :
( lhs_atom5(C,B,A)
| v1_relat_1(C) ),
inference(fold_definition,[status(thm)],[cc1_relset_1_0,def_lhs_atom5]) ).
fof(to_be_clausified_6,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v4_lattices(A)
& v5_lattices(A)
& v6_lattices(A)
& v7_lattices(A)
& v8_lattices(A)
& v9_lattices(A) )
=> ( ~ v3_struct_0(A)
& v10_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc2_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_7,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) )
=> ( ~ v3_struct_0(A)
& v15_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc3_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_8,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v15_lattices(A) )
=> ( ~ v3_struct_0(A)
& v13_lattices(A)
& v14_lattices(A) ) ) ),
inference(fold_definition,[status(thm)],[cc4_lattices_0,def_lhs_atom1]) ).
fof(def_lhs_atom6,axiom,
! [B] :
( lhs_atom6(B)
<=> v1_xboole_0(B) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [A,B] :
( lhs_atom6(B)
| ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_1(C)
& v1_funct_2(C,A,B) )
=> ( v1_funct_1(C)
& v1_partfun1(C,A,B)
& v1_funct_2(C,A,B) ) ) ) ),
inference(fold_definition,[status(thm)],[cc5_funct_2_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [A] :
( lhs_atom7(A)
<=> k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [A] :
( lhs_atom7(A)
| ~ ( ~ v3_conlat_1(A)
& l2_conlat_1(A) ) ),
inference(fold_definition,[status(thm)],[d7_conlat_2_0,def_lhs_atom7]) ).
fof(to_be_clausified_11,plain,
! [A,B,C] :
( lhs_atom4(C,B,A)
| ( v4_conlat_1(g2_conlat_1(A,B,C))
& l2_conlat_1(g2_conlat_1(A,B,C)) ) ),
inference(fold_definition,[status(thm)],[dt_g2_conlat_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom8,axiom,
! [A] :
( lhs_atom8(A)
<=> m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [A] :
( lhs_atom8(A)
| ~ ( ~ v3_conlat_1(A)
& l2_conlat_1(A) ) ),
inference(fold_definition,[status(thm)],[dt_k10_conlat_2_0,def_lhs_atom8]) ).
fof(to_be_clausified_13,plain,
! [A] :
( lhs_atom1(A)
| ( v3_lattices(k1_lattice2(A))
& l3_lattices(k1_lattice2(A)) ) ),
inference(fold_definition,[status(thm)],[dt_k1_lattice2_0,def_lhs_atom1]) ).
fof(def_lhs_atom9,axiom,
( lhs_atom9
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom9]) ).
fof(to_be_clausified_15,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom9]) ).
fof(to_be_clausified_16,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_zfmisc_1_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> ~ v1_relat_1(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [A] :
( lhs_atom10(A)
| v1_relat_1(k4_relat_1(A)) ),
inference(fold_definition,[status(thm)],[dt_k4_relat_1_0,def_lhs_atom10]) ).
fof(to_be_clausified_18,plain,
! [A,B,C] :
( lhs_atom4(C,B,A)
| m2_relset_1(k6_relset_1(A,B,C),B,A) ),
inference(fold_definition,[status(thm)],[dt_k6_relset_1_0,def_lhs_atom4]) ).
fof(to_be_clausified_19,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_conlat_1_0,def_lhs_atom9]) ).
fof(def_lhs_atom11,axiom,
! [A] :
( lhs_atom11(A)
<=> ~ l1_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [A] :
( lhs_atom11(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l1_lattices_0,def_lhs_atom11]) ).
fof(to_be_clausified_21,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom9]) ).
fof(to_be_clausified_22,plain,
! [A] :
( lhs_atom2(A)
| l1_conlat_1(A) ),
inference(fold_definition,[status(thm)],[dt_l2_conlat_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom12,axiom,
! [A] :
( lhs_atom12(A)
<=> ~ l2_lattices(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [A] :
( lhs_atom12(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l2_lattices_0,def_lhs_atom12]) ).
fof(to_be_clausified_24,plain,
! [A] :
( lhs_atom1(A)
| ( l1_lattices(A)
& l2_lattices(A) ) ),
inference(fold_definition,[status(thm)],[dt_l3_lattices_0,def_lhs_atom1]) ).
fof(to_be_clausified_25,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_relset_1_0,def_lhs_atom9]) ).
fof(to_be_clausified_26,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom9]) ).
fof(def_lhs_atom13,axiom,
! [C,B,A] :
( lhs_atom13(C,B,A)
<=> ~ m2_relset_1(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [A,B,C] :
( lhs_atom13(C,B,A)
| m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(fold_definition,[status(thm)],[dt_m2_relset_1_0,def_lhs_atom13]) ).
fof(to_be_clausified_28,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_conlat_1_0,def_lhs_atom9]) ).
fof(to_be_clausified_29,plain,
! [A] :
( lhs_atom11(A)
| ( v1_funct_1(u1_lattices(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[dt_u1_lattices_0,def_lhs_atom11]) ).
fof(to_be_clausified_30,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom9]) ).
fof(to_be_clausified_31,plain,
( lhs_atom9
| $false ),
inference(fold_definition,[status(thm)],[dt_u2_conlat_1_0,def_lhs_atom9]) ).
fof(to_be_clausified_32,plain,
! [A] :
( lhs_atom12(A)
| ( v1_funct_1(u2_lattices(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[dt_u2_lattices_0,def_lhs_atom12]) ).
fof(to_be_clausified_33,plain,
! [A] :
( lhs_atom2(A)
| m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)) ),
inference(fold_definition,[status(thm)],[dt_u3_conlat_1_0,def_lhs_atom2]) ).
fof(def_lhs_atom14,axiom,
! [A] :
( lhs_atom14(A)
<=> ~ v1_xboole_0(u2_conlat_1(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [A] :
( lhs_atom14(A)
| ~ ( ~ v3_conlat_1(A)
& l1_conlat_1(A) ) ),
inference(fold_definition,[status(thm)],[fc1_conlat_1_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [A] :
( lhs_atom15(A)
<=> ~ v1_xboole_0(u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
! [A] :
( lhs_atom15(A)
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(fold_definition,[status(thm)],[fc1_struct_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [A] :
( lhs_atom16(A)
<=> ~ v1_xboole_0(k1_zfmisc_1(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
! [A] :
( lhs_atom16(A)
| $false ),
inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
( lhs_atom17
<=> v1_xboole_0(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
( lhs_atom17
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [A] :
( lhs_atom18(A)
<=> ~ v1_xboole_0(u1_conlat_1(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [A] :
( lhs_atom18(A)
| ~ ( ~ v3_conlat_1(A)
& l1_conlat_1(A) ) ),
inference(fold_definition,[status(thm)],[fc2_conlat_1_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [B,A] :
( lhs_atom19(B,A)
<=> ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_39,plain,
! [A,B] :
( lhs_atom19(B,A)
| ~ ( ~ v1_xboole_0(A)
& ~ v1_xboole_0(B) ) ),
inference(fold_definition,[status(thm)],[fc4_subset_1_0,def_lhs_atom19]) ).
fof(to_be_clausified_40,plain,
! [A,B,C] :
( lhs_atom4(C,B,A)
| ! [D,E,F] :
( g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F)
=> ( A = D
& B = E
& C = F ) ) ),
inference(fold_definition,[status(thm)],[free_g2_conlat_1_0,def_lhs_atom4]) ).
fof(to_be_clausified_41,plain,
! [A] :
( lhs_atom10(A)
| k4_relat_1(k4_relat_1(A)) = A ),
inference(fold_definition,[status(thm)],[involutiveness_k4_relat_1_0,def_lhs_atom10]) ).
fof(to_be_clausified_42,plain,
! [A,B,C] :
( lhs_atom4(C,B,A)
| k6_relset_1(A,B,k6_relset_1(A,B,C)) = C ),
inference(fold_definition,[status(thm)],[involutiveness_k6_relset_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom20,axiom,
! [A] :
( lhs_atom20(A)
<=> v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_43,plain,
! [A] :
( lhs_atom20(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_atom20]) ).
fof(to_be_clausified_44,plain,
! [A,B,C] :
( lhs_atom4(C,B,A)
| k6_relset_1(A,B,C) = k4_relat_1(C) ),
inference(fold_definition,[status(thm)],[redefinition_k6_relset_1_0,def_lhs_atom4]) ).
fof(to_be_clausified_45,plain,
! [A,B,C] :
( lhs_atom13(C,B,A)
| m1_relset_1(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_1,def_lhs_atom13]) ).
fof(def_lhs_atom21,axiom,
! [C,B,A] :
( lhs_atom21(C,B,A)
<=> m2_relset_1(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_46,plain,
! [A,B,C] :
( lhs_atom21(C,B,A)
| ~ m1_relset_1(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [A] :
( lhs_atom22(A)
<=> r1_filter_1(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_47,plain,
! [A,B] :
( lhs_atom22(A)
| ~ ( ~ v3_struct_0(A)
& v10_lattices(A)
& l3_lattices(A)
& ~ v3_struct_0(B)
& v10_lattices(B)
& l3_lattices(B) ) ),
inference(fold_definition,[status(thm)],[reflexivity_r1_filter_1_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [A] :
( lhs_atom23(A)
<=> r1_tarski(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_48,plain,
! [A] :
( lhs_atom23(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom23]) ).
fof(to_be_clausified_49,plain,
! [A,B] :
( lhs_atom3(B,A)
| m1_subset_1(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom3]) ).
fof(def_lhs_atom24,axiom,
! [A] :
( lhs_atom24(A)
<=> v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ),
inference(definition,[],]) ).
fof(to_be_clausified_50,plain,
! [A] :
( lhs_atom24(A)
| ~ ( ~ v3_conlat_1(A)
& l2_conlat_1(A) ) ),
inference(fold_definition,[status(thm)],[t21_conlat_2_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [B,A] :
( lhs_atom25(B,A)
<=> ~ m1_subset_1(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_51,plain,
! [A,B] :
( lhs_atom25(B,A)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [B,A] :
( lhs_atom26(B,A)
<=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_52,plain,
! [A,B] :
( lhs_atom26(B,A)
| r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [B,A] :
( lhs_atom27(B,A)
<=> m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_53,plain,
! [A,B] :
( lhs_atom27(B,A)
| ~ r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [C,A] :
( lhs_atom28(C,A)
<=> m1_subset_1(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_54,plain,
! [A,B,C] :
( lhs_atom28(C,A)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [A] :
( lhs_atom29(A)
<=> ~ v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_55,plain,
! [A] :
( lhs_atom29(A)
| A = k1_xboole_0 ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom29]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X1] :
( lhs_atom6(X2)
| ! [X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) ) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_1,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| ! [X4,X5,X6] :
( g2_conlat_1(X1,X2,X3) = g2_conlat_1(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_2,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3 ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_3,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_4,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| ( ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_5,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| ( v4_conlat_1(g2_conlat_1(X1,X2,X3))
& l2_conlat_1(g2_conlat_1(X1,X2,X3)) ) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_6,axiom,
! [X3,X2,X1] :
( lhs_atom21(X3,X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_7,axiom,
! [X3,X2,X1] :
( lhs_atom13(X3,X2,X1)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_8,axiom,
! [X1] :
( lhs_atom12(X1)
| ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_9,axiom,
! [X1] :
( lhs_atom11(X1)
| ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_10,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_11,axiom,
! [X3,X2,X1] :
( lhs_atom13(X3,X2,X1)
| m1_relset_1(X3,X1,X2) ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_12,axiom,
! [X1] :
( lhs_atom2(X1)
| ( v4_conlat_1(X1)
=> X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_13,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_14,axiom,
! [X1] :
( lhs_atom2(X1)
| m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1)) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_15,axiom,
! [X3,X2,X1] :
( lhs_atom28(X3,X1)
| ~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) ) ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_16,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v10_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_17,axiom,
! [X3,X2,X1] :
( lhs_atom5(X3,X2,X1)
| v1_relat_1(X3) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_18,axiom,
! [X2,X1] :
( lhs_atom22(X1)
| ~ ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_19,axiom,
! [X2,X1] :
( lhs_atom27(X2,X1)
| ~ r1_tarski(X1,X2) ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_20,axiom,
! [X2,X1] :
( lhs_atom3(X2,X1)
| ~ r2_hidden(X2,X1) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_21,axiom,
! [X2,X1] :
( lhs_atom25(X2,X1)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom20(X1)
| ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v15_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_24,axiom,
! [X2,X1] :
( lhs_atom26(X2,X1)
| r1_tarski(X1,X2) ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_25,axiom,
! [X2,X1] :
( lhs_atom3(X2,X1)
| m1_subset_1(X1,X2) ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_26,axiom,
! [X2,X1] :
( lhs_atom19(X2,X1)
| ~ ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_27,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v15_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_29,axiom,
! [X1] :
( lhs_atom24(X1)
| ~ ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) ) ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_30,axiom,
! [X1] :
( lhs_atom18(X1)
| ~ ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) ) ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_31,axiom,
! [X1] :
( lhs_atom15(X1)
| ~ ( ~ v3_struct_0(X1)
& l1_struct_0(X1) ) ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_32,axiom,
! [X1] :
( lhs_atom14(X1)
| ~ ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) ) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_33,axiom,
! [X1] :
( lhs_atom8(X1)
| ~ ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) ) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_34,axiom,
! [X1] :
( lhs_atom7(X1)
| ~ ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_35,axiom,
! [X1] :
( lhs_atom10(X1)
| k4_relat_1(k4_relat_1(X1)) = X1 ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_36,axiom,
! [X1] :
( lhs_atom10(X1)
| v1_relat_1(k4_relat_1(X1)) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_37,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_38,axiom,
! [X1] :
( lhs_atom1(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_39,axiom,
! [X1] :
( lhs_atom12(X1)
| l1_struct_0(X1) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_40,axiom,
! [X1] :
( lhs_atom2(X1)
| l1_conlat_1(X1) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_41,axiom,
! [X1] :
( lhs_atom11(X1)
| l1_struct_0(X1) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_42,axiom,
! [X1] :
( lhs_atom29(X1)
| X1 = k1_xboole_0 ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_43,axiom,
! [X1] :
( lhs_atom23(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_44,axiom,
! [X1] :
( lhs_atom16(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_45,axiom,
( lhs_atom17
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_46,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_47,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_48,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_49,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_50,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_51,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_52,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_53,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_54,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_55,axiom,
( lhs_atom9
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_56,axiom,
! [X2,X1] :
( lhs_atom6(X2)
| ! [X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) ) ) ),
c_0_0 ).
fof(c_0_57,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| ! [X4,X5,X6] :
( g2_conlat_1(X1,X2,X3) = g2_conlat_1(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
c_0_1 ).
fof(c_0_58,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3 ),
c_0_2 ).
fof(c_0_59,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
c_0_3 ).
fof(c_0_60,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| ( ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ) ),
c_0_4 ).
fof(c_0_61,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| ( v4_conlat_1(g2_conlat_1(X1,X2,X3))
& l2_conlat_1(g2_conlat_1(X1,X2,X3)) ) ),
c_0_5 ).
fof(c_0_62,plain,
! [X3,X2,X1] :
( lhs_atom21(X3,X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_63,axiom,
! [X3,X2,X1] :
( lhs_atom13(X3,X2,X1)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
c_0_7 ).
fof(c_0_64,axiom,
! [X1] :
( lhs_atom12(X1)
| ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
c_0_8 ).
fof(c_0_65,axiom,
! [X1] :
( lhs_atom11(X1)
| ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
c_0_9 ).
fof(c_0_66,axiom,
! [X3,X2,X1] :
( lhs_atom4(X3,X2,X1)
| k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
c_0_10 ).
fof(c_0_67,axiom,
! [X3,X2,X1] :
( lhs_atom13(X3,X2,X1)
| m1_relset_1(X3,X1,X2) ),
c_0_11 ).
fof(c_0_68,axiom,
! [X1] :
( lhs_atom2(X1)
| ( v4_conlat_1(X1)
=> X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) ) ),
c_0_12 ).
fof(c_0_69,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
c_0_13 ).
fof(c_0_70,axiom,
! [X1] :
( lhs_atom2(X1)
| m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1)) ),
c_0_14 ).
fof(c_0_71,axiom,
! [X3,X2,X1] :
( lhs_atom28(X3,X1)
| ~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) ) ),
c_0_15 ).
fof(c_0_72,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v10_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_73,axiom,
! [X3,X2,X1] :
( lhs_atom5(X3,X2,X1)
| v1_relat_1(X3) ),
c_0_17 ).
fof(c_0_74,plain,
! [X2,X1] :
( lhs_atom22(X1)
| ~ ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_75,plain,
! [X2,X1] :
( lhs_atom27(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_76,plain,
! [X2,X1] :
( lhs_atom3(X2,X1)
| ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_77,axiom,
! [X2,X1] :
( lhs_atom25(X2,X1)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
c_0_21 ).
fof(c_0_78,plain,
! [X1] :
( lhs_atom20(X1)
| ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_79,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v15_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_80,axiom,
! [X2,X1] :
( lhs_atom26(X2,X1)
| r1_tarski(X1,X2) ),
c_0_24 ).
fof(c_0_81,axiom,
! [X2,X1] :
( lhs_atom3(X2,X1)
| m1_subset_1(X1,X2) ),
c_0_25 ).
fof(c_0_82,plain,
! [X2,X1] :
( lhs_atom19(X2,X1)
| ~ ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_83,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v15_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v13_lattices(X1)
& v14_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_84,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_85,plain,
! [X1] :
( lhs_atom24(X1)
| ~ ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_86,plain,
! [X1] :
( lhs_atom18(X1)
| ~ ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_87,plain,
! [X1] :
( lhs_atom15(X1)
| ~ ( ~ v3_struct_0(X1)
& l1_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_88,plain,
! [X1] :
( lhs_atom14(X1)
| ~ ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_89,plain,
! [X1] :
( lhs_atom8(X1)
| ~ ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_90,plain,
! [X1] :
( lhs_atom7(X1)
| ~ ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_91,axiom,
! [X1] :
( lhs_atom10(X1)
| k4_relat_1(k4_relat_1(X1)) = X1 ),
c_0_35 ).
fof(c_0_92,axiom,
! [X1] :
( lhs_atom10(X1)
| v1_relat_1(k4_relat_1(X1)) ),
c_0_36 ).
fof(c_0_93,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
c_0_37 ).
fof(c_0_94,axiom,
! [X1] :
( lhs_atom1(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
c_0_38 ).
fof(c_0_95,axiom,
! [X1] :
( lhs_atom12(X1)
| l1_struct_0(X1) ),
c_0_39 ).
fof(c_0_96,axiom,
! [X1] :
( lhs_atom2(X1)
| l1_conlat_1(X1) ),
c_0_40 ).
fof(c_0_97,axiom,
! [X1] :
( lhs_atom11(X1)
| l1_struct_0(X1) ),
c_0_41 ).
fof(c_0_98,axiom,
! [X1] :
( lhs_atom29(X1)
| X1 = k1_xboole_0 ),
c_0_42 ).
fof(c_0_99,plain,
! [X1] : lhs_atom23(X1),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_100,plain,
! [X1] : lhs_atom16(X1),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_101,plain,
lhs_atom17,
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_102,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_103,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_104,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_105,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_106,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_107,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_108,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_109,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_110,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_111,plain,
lhs_atom9,
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_112,plain,
! [X4,X5,X6] :
( ( v1_funct_1(X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X5,X4)
| ~ m1_relset_1(X6,X5,X4)
| lhs_atom6(X4) )
& ( v1_partfun1(X6,X5,X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X5,X4)
| ~ m1_relset_1(X6,X5,X4)
| lhs_atom6(X4) )
& ( v1_funct_2(X6,X5,X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X5,X4)
| ~ m1_relset_1(X6,X5,X4)
| lhs_atom6(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])]) ).
fof(c_0_113,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( X9 = X10
| g2_conlat_1(X9,X8,X7) != g2_conlat_1(X10,X11,X12)
| lhs_atom4(X7,X8,X9) )
& ( X8 = X11
| g2_conlat_1(X9,X8,X7) != g2_conlat_1(X10,X11,X12)
| lhs_atom4(X7,X8,X9) )
& ( X7 = X12
| g2_conlat_1(X9,X8,X7) != g2_conlat_1(X10,X11,X12)
| lhs_atom4(X7,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).
fof(c_0_114,plain,
! [X4,X5,X6] :
( lhs_atom4(X4,X5,X6)
| k6_relset_1(X6,X5,k6_relset_1(X6,X5,X4)) = X4 ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_115,plain,
! [X4,X5,X6] :
( lhs_atom4(X4,X5,X6)
| m2_relset_1(k6_relset_1(X6,X5,X4),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_116,plain,
! [X4,X5,X6] :
( ( v1_funct_1(X4)
| ~ v1_funct_1(X4)
| ~ v1_partfun1(X4,X6,X5)
| lhs_atom4(X4,X5,X6) )
& ( v1_funct_2(X4,X6,X5)
| ~ v1_funct_1(X4)
| ~ v1_partfun1(X4,X6,X5)
| lhs_atom4(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])]) ).
fof(c_0_117,plain,
! [X4,X5,X6] :
( ( v4_conlat_1(g2_conlat_1(X6,X5,X4))
| lhs_atom4(X4,X5,X6) )
& ( l2_conlat_1(g2_conlat_1(X6,X5,X4))
| lhs_atom4(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_61])]) ).
fof(c_0_118,plain,
! [X4,X5,X6] :
( lhs_atom21(X4,X5,X6)
| ~ m1_relset_1(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_62]) ).
fof(c_0_119,plain,
! [X4,X5,X6] :
( lhs_atom13(X4,X5,X6)
| m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X6,X5))) ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_120,plain,
! [X2] :
( ( v1_funct_1(u2_lattices(X2))
| lhs_atom12(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom12(X2) )
& ( m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom12(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_64])]) ).
fof(c_0_121,plain,
! [X2] :
( ( v1_funct_1(u1_lattices(X2))
| lhs_atom11(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom11(X2) )
& ( m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom11(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_65])]) ).
fof(c_0_122,plain,
! [X4,X5,X6] :
( lhs_atom4(X4,X5,X6)
| k6_relset_1(X6,X5,X4) = k4_relat_1(X4) ),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_123,plain,
! [X4,X5,X6] :
( lhs_atom13(X4,X5,X6)
| m1_relset_1(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_124,plain,
! [X2] :
( lhs_atom2(X2)
| ~ v4_conlat_1(X2)
| X2 = g2_conlat_1(u1_conlat_1(X2),u2_conlat_1(X2),u3_conlat_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
fof(c_0_125,plain,
! [X2] :
( lhs_atom1(X2)
| ~ v3_lattices(X2)
| X2 = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).
fof(c_0_126,plain,
! [X2] :
( lhs_atom2(X2)
| m2_relset_1(u3_conlat_1(X2),u1_conlat_1(X2),u2_conlat_1(X2)) ),
inference(variable_rename,[status(thm)],[c_0_70]) ).
fof(c_0_127,plain,
! [X4,X5,X6] :
( lhs_atom28(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_71])]) ).
fof(c_0_128,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ v5_lattices(X2)
| ~ v6_lattices(X2)
| ~ v7_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| lhs_atom1(X2) )
& ( v10_lattices(X2)
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ v5_lattices(X2)
| ~ v6_lattices(X2)
| ~ v7_lattices(X2)
| ~ v8_lattices(X2)
| ~ v9_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])]) ).
fof(c_0_129,plain,
! [X4,X5,X6] :
( lhs_atom5(X4,X5,X6)
| v1_relat_1(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_73])])]) ).
fof(c_0_130,plain,
! [X3,X4] :
( lhs_atom22(X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])]) ).
fof(c_0_131,plain,
! [X3,X4] :
( lhs_atom27(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_75]) ).
fof(c_0_132,plain,
! [X3,X4] :
( lhs_atom3(X3,X4)
| ~ r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_76]) ).
fof(c_0_133,plain,
! [X3,X4] :
( lhs_atom25(X3,X4)
| v1_xboole_0(X3)
| r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_77]) ).
fof(c_0_134,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(X3))
| lhs_atom20(X3) )
& ( ~ v1_xboole_0(esk1_1(X3))
| lhs_atom20(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_78])])]) ).
fof(c_0_135,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v13_lattices(X2)
| ~ v14_lattices(X2)
| lhs_atom1(X2) )
& ( v15_lattices(X2)
| v3_struct_0(X2)
| ~ v13_lattices(X2)
| ~ v14_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])]) ).
fof(c_0_136,plain,
! [X3,X4] :
( lhs_atom26(X3,X4)
| r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_80]) ).
fof(c_0_137,plain,
! [X3,X4] :
( lhs_atom3(X3,X4)
| m1_subset_1(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_81]) ).
fof(c_0_138,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| v1_xboole_0(X4)
| v1_xboole_0(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])]) ).
fof(c_0_139,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v15_lattices(X2)
| lhs_atom1(X2) )
& ( v13_lattices(X2)
| v3_struct_0(X2)
| ~ v15_lattices(X2)
| lhs_atom1(X2) )
& ( v14_lattices(X2)
| v3_struct_0(X2)
| ~ v15_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])]) ).
fof(c_0_140,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])]) ).
fof(c_0_141,plain,
! [X2] :
( lhs_atom24(X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).
fof(c_0_142,plain,
! [X2] :
( lhs_atom18(X2)
| v3_conlat_1(X2)
| ~ l1_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])]) ).
fof(c_0_143,plain,
! [X2] :
( lhs_atom15(X2)
| v3_struct_0(X2)
| ~ l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])]) ).
fof(c_0_144,plain,
! [X2] :
( lhs_atom14(X2)
| v3_conlat_1(X2)
| ~ l1_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])]) ).
fof(c_0_145,plain,
! [X2] :
( lhs_atom8(X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])]) ).
fof(c_0_146,plain,
! [X2] :
( lhs_atom7(X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])]) ).
fof(c_0_147,plain,
! [X2] :
( lhs_atom10(X2)
| k4_relat_1(k4_relat_1(X2)) = X2 ),
inference(variable_rename,[status(thm)],[c_0_91]) ).
fof(c_0_148,plain,
! [X2] :
( lhs_atom10(X2)
| v1_relat_1(k4_relat_1(X2)) ),
inference(variable_rename,[status(thm)],[c_0_92]) ).
fof(c_0_149,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| lhs_atom1(X2) )
& ( l3_lattices(k1_lattice2(X2))
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_93])]) ).
fof(c_0_150,plain,
! [X2] :
( ( l1_lattices(X2)
| lhs_atom1(X2) )
& ( l2_lattices(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_94])]) ).
fof(c_0_151,plain,
! [X2] :
( lhs_atom12(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[c_0_95]) ).
fof(c_0_152,plain,
! [X2] :
( lhs_atom2(X2)
| l1_conlat_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_96]) ).
fof(c_0_153,plain,
! [X2] :
( lhs_atom11(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[c_0_97]) ).
fof(c_0_154,plain,
! [X2] :
( lhs_atom29(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[c_0_98]) ).
fof(c_0_155,plain,
! [X2] : lhs_atom23(X2),
inference(variable_rename,[status(thm)],[c_0_99]) ).
fof(c_0_156,plain,
! [X2] : lhs_atom16(X2),
inference(variable_rename,[status(thm)],[c_0_100]) ).
fof(c_0_157,plain,
lhs_atom17,
c_0_101 ).
fof(c_0_158,plain,
lhs_atom9,
c_0_102 ).
fof(c_0_159,plain,
lhs_atom9,
c_0_103 ).
fof(c_0_160,plain,
lhs_atom9,
c_0_104 ).
fof(c_0_161,plain,
lhs_atom9,
c_0_105 ).
fof(c_0_162,plain,
lhs_atom9,
c_0_106 ).
fof(c_0_163,plain,
lhs_atom9,
c_0_107 ).
fof(c_0_164,plain,
lhs_atom9,
c_0_108 ).
fof(c_0_165,plain,
lhs_atom9,
c_0_109 ).
fof(c_0_166,plain,
lhs_atom9,
c_0_110 ).
fof(c_0_167,plain,
lhs_atom9,
c_0_111 ).
cnf(c_0_168,plain,
( lhs_atom6(X1)
| v1_partfun1(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_169,plain,
( lhs_atom6(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_170,plain,
( lhs_atom4(X1,X2,X3)
| X3 = X4
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_171,plain,
( lhs_atom4(X1,X2,X3)
| X2 = X5
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_172,plain,
( lhs_atom4(X1,X2,X3)
| X1 = X6
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_173,plain,
( k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3
| lhs_atom4(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_174,plain,
( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| lhs_atom4(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_175,plain,
( lhs_atom4(X1,X2,X3)
| v1_funct_2(X1,X3,X2)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_176,plain,
( lhs_atom6(X1)
| v1_funct_1(X2)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_177,plain,
( lhs_atom4(X1,X2,X3)
| v4_conlat_1(g2_conlat_1(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_178,plain,
( lhs_atom4(X1,X2,X3)
| l2_conlat_1(g2_conlat_1(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_179,plain,
( lhs_atom4(X1,X2,X3)
| v1_funct_1(X1)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_180,plain,
( lhs_atom21(X1,X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_181,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| lhs_atom13(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_182,plain,
( lhs_atom12(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_183,plain,
( lhs_atom12(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_184,plain,
( lhs_atom11(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_185,plain,
( lhs_atom11(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_186,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| lhs_atom4(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_187,plain,
( m1_relset_1(X1,X2,X3)
| lhs_atom13(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_188,plain,
( X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))
| lhs_atom2(X1)
| ~ v4_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_189,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| lhs_atom1(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_190,plain,
( m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_191,plain,
( lhs_atom28(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_192,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_193,plain,
( v1_relat_1(X1)
| lhs_atom5(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_194,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_195,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| lhs_atom22(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_196,plain,
( lhs_atom27(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_197,plain,
( lhs_atom3(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_198,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom25(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_199,plain,
( lhs_atom20(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_200,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_201,plain,
( r1_tarski(X1,X2)
| lhs_atom26(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_202,plain,
( m1_subset_1(X1,X2)
| lhs_atom3(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_203,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_204,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| lhs_atom19(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_205,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_206,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_207,plain,
( lhs_atom20(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_208,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v15_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_209,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v15_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_210,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_211,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_212,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_213,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_214,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_215,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_216,plain,
( v3_conlat_1(X1)
| lhs_atom24(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_217,plain,
( v3_conlat_1(X1)
| lhs_atom18(X1)
| ~ l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_218,plain,
( v3_struct_0(X1)
| lhs_atom15(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_219,plain,
( v3_conlat_1(X1)
| lhs_atom14(X1)
| ~ l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_220,plain,
( v3_conlat_1(X1)
| lhs_atom8(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_221,plain,
( v3_conlat_1(X1)
| lhs_atom7(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_222,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| lhs_atom10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_223,plain,
( lhs_atom12(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_224,plain,
( lhs_atom11(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_225,plain,
( v1_relat_1(k4_relat_1(X1))
| lhs_atom10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_226,plain,
( lhs_atom1(X1)
| v3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_227,plain,
( lhs_atom1(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_228,plain,
( lhs_atom1(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_229,plain,
( lhs_atom1(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_230,plain,
( l1_struct_0(X1)
| lhs_atom12(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_231,plain,
( l1_conlat_1(X1)
| lhs_atom2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_232,plain,
( l1_struct_0(X1)
| lhs_atom11(X1) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_233,plain,
( X1 = k1_xboole_0
| lhs_atom29(X1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_234,plain,
lhs_atom23(X1),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_235,plain,
lhs_atom16(X1),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_236,plain,
lhs_atom17,
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_237,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_238,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_239,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_240,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_241,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_242,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_243,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_244,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_245,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_246,plain,
lhs_atom9,
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_247,plain,
( lhs_atom6(X1)
| v1_partfun1(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
c_0_168,
[final] ).
cnf(c_0_248,plain,
( lhs_atom6(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
c_0_169,
[final] ).
cnf(c_0_249,plain,
( lhs_atom4(X1,X2,X3)
| X3 = X4
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
c_0_170,
[final] ).
cnf(c_0_250,plain,
( lhs_atom4(X1,X2,X3)
| X2 = X5
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
c_0_171,
[final] ).
cnf(c_0_251,plain,
( lhs_atom4(X1,X2,X3)
| X1 = X6
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
c_0_172,
[final] ).
cnf(c_0_252,plain,
( k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3
| lhs_atom4(X3,X2,X1) ),
c_0_173,
[final] ).
cnf(c_0_253,plain,
( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| lhs_atom4(X3,X2,X1) ),
c_0_174,
[final] ).
cnf(c_0_254,plain,
( lhs_atom4(X1,X2,X3)
| v1_funct_2(X1,X3,X2)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
c_0_175,
[final] ).
cnf(c_0_255,plain,
( lhs_atom6(X1)
| v1_funct_1(X2)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
c_0_176,
[final] ).
cnf(c_0_256,plain,
( lhs_atom4(X1,X2,X3)
| v4_conlat_1(g2_conlat_1(X3,X2,X1)) ),
c_0_177,
[final] ).
cnf(c_0_257,plain,
( lhs_atom4(X1,X2,X3)
| l2_conlat_1(g2_conlat_1(X3,X2,X1)) ),
c_0_178,
[final] ).
cnf(c_0_258,plain,
( lhs_atom4(X1,X2,X3)
| v1_funct_1(X1)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
c_0_179,
[final] ).
cnf(c_0_259,plain,
( lhs_atom21(X1,X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
c_0_180,
[final] ).
cnf(c_0_260,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| lhs_atom13(X1,X3,X2) ),
c_0_181,
[final] ).
cnf(c_0_261,plain,
( lhs_atom12(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_182,
[final] ).
cnf(c_0_262,plain,
( lhs_atom12(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_183,
[final] ).
cnf(c_0_263,plain,
( lhs_atom11(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_184,
[final] ).
cnf(c_0_264,plain,
( lhs_atom11(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_185,
[final] ).
cnf(c_0_265,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| lhs_atom4(X3,X2,X1) ),
c_0_186,
[final] ).
cnf(c_0_266,plain,
( m1_relset_1(X1,X2,X3)
| lhs_atom13(X1,X3,X2) ),
c_0_187,
[final] ).
cnf(c_0_267,plain,
( g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) = X1
| lhs_atom2(X1)
| ~ v4_conlat_1(X1) ),
c_0_188,
[final] ).
cnf(c_0_268,plain,
( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| lhs_atom1(X1)
| ~ v3_lattices(X1) ),
c_0_189,
[final] ).
cnf(c_0_269,plain,
( m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| lhs_atom2(X1) ),
c_0_190,
[final] ).
cnf(c_0_270,plain,
( lhs_atom28(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
c_0_191,
[final] ).
cnf(c_0_271,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_192,
[final] ).
cnf(c_0_272,plain,
( v1_relat_1(X1)
| lhs_atom5(X1,X2,X3) ),
c_0_193,
[final] ).
cnf(c_0_273,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v10_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v7_lattices(X1)
| ~ v6_lattices(X1)
| ~ v5_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_194,
[final] ).
cnf(c_0_274,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| lhs_atom22(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_195,
[final] ).
cnf(c_0_275,plain,
( lhs_atom27(X2,X1)
| ~ r1_tarski(X1,X2) ),
c_0_196,
[final] ).
cnf(c_0_276,plain,
( lhs_atom3(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_197,
[final] ).
cnf(c_0_277,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom25(X2,X1) ),
c_0_198,
[final] ).
cnf(c_0_278,plain,
( lhs_atom20(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
c_0_199,
[final] ).
cnf(c_0_279,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_200,
[final] ).
cnf(c_0_280,plain,
( r1_tarski(X1,X2)
| lhs_atom26(X2,X1) ),
c_0_201,
[final] ).
cnf(c_0_281,plain,
( m1_subset_1(X1,X2)
| lhs_atom3(X2,X1) ),
c_0_202,
[final] ).
cnf(c_0_282,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1) ),
c_0_203,
[final] ).
cnf(c_0_283,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| lhs_atom19(X1,X2) ),
c_0_204,
[final] ).
cnf(c_0_284,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_205,
[final] ).
cnf(c_0_285,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
c_0_206,
[final] ).
cnf(c_0_286,plain,
( lhs_atom20(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
c_0_207,
[final] ).
cnf(c_0_287,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v15_lattices(X1) ),
c_0_208,
[final] ).
cnf(c_0_288,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v15_lattices(X1) ),
c_0_209,
[final] ).
cnf(c_0_289,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_210,
[final] ).
cnf(c_0_290,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_211,
[final] ).
cnf(c_0_291,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_212,
[final] ).
cnf(c_0_292,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_213,
[final] ).
cnf(c_0_293,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_214,
[final] ).
cnf(c_0_294,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_215,
[final] ).
cnf(c_0_295,plain,
( v3_conlat_1(X1)
| lhs_atom24(X1)
| ~ l2_conlat_1(X1) ),
c_0_216,
[final] ).
cnf(c_0_296,plain,
( v3_conlat_1(X1)
| lhs_atom18(X1)
| ~ l1_conlat_1(X1) ),
c_0_217,
[final] ).
cnf(c_0_297,plain,
( v3_struct_0(X1)
| lhs_atom15(X1)
| ~ l1_struct_0(X1) ),
c_0_218,
[final] ).
cnf(c_0_298,plain,
( v3_conlat_1(X1)
| lhs_atom14(X1)
| ~ l1_conlat_1(X1) ),
c_0_219,
[final] ).
cnf(c_0_299,plain,
( v3_conlat_1(X1)
| lhs_atom8(X1)
| ~ l2_conlat_1(X1) ),
c_0_220,
[final] ).
cnf(c_0_300,plain,
( v3_conlat_1(X1)
| lhs_atom7(X1)
| ~ l2_conlat_1(X1) ),
c_0_221,
[final] ).
cnf(c_0_301,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| lhs_atom10(X1) ),
c_0_222,
[final] ).
cnf(c_0_302,plain,
( lhs_atom12(X1)
| v1_funct_1(u2_lattices(X1)) ),
c_0_223,
[final] ).
cnf(c_0_303,plain,
( lhs_atom11(X1)
| v1_funct_1(u1_lattices(X1)) ),
c_0_224,
[final] ).
cnf(c_0_304,plain,
( v1_relat_1(k4_relat_1(X1))
| lhs_atom10(X1) ),
c_0_225,
[final] ).
cnf(c_0_305,plain,
( lhs_atom1(X1)
| v3_lattices(k1_lattice2(X1)) ),
c_0_226,
[final] ).
cnf(c_0_306,plain,
( lhs_atom1(X1)
| l3_lattices(k1_lattice2(X1)) ),
c_0_227,
[final] ).
cnf(c_0_307,plain,
( lhs_atom1(X1)
| l1_lattices(X1) ),
c_0_228,
[final] ).
cnf(c_0_308,plain,
( lhs_atom1(X1)
| l2_lattices(X1) ),
c_0_229,
[final] ).
cnf(c_0_309,plain,
( l1_struct_0(X1)
| lhs_atom12(X1) ),
c_0_230,
[final] ).
cnf(c_0_310,plain,
( l1_conlat_1(X1)
| lhs_atom2(X1) ),
c_0_231,
[final] ).
cnf(c_0_311,plain,
( l1_struct_0(X1)
| lhs_atom11(X1) ),
c_0_232,
[final] ).
cnf(c_0_312,plain,
( X1 = k1_xboole_0
| lhs_atom29(X1) ),
c_0_233,
[final] ).
cnf(c_0_313,plain,
lhs_atom23(X1),
c_0_234,
[final] ).
cnf(c_0_314,plain,
lhs_atom16(X1),
c_0_235,
[final] ).
cnf(c_0_315,plain,
lhs_atom17,
c_0_236,
[final] ).
cnf(c_0_316,plain,
lhs_atom9,
c_0_237,
[final] ).
cnf(c_0_317,plain,
lhs_atom9,
c_0_238,
[final] ).
cnf(c_0_318,plain,
lhs_atom9,
c_0_239,
[final] ).
cnf(c_0_319,plain,
lhs_atom9,
c_0_240,
[final] ).
cnf(c_0_320,plain,
lhs_atom9,
c_0_241,
[final] ).
cnf(c_0_321,plain,
lhs_atom9,
c_0_242,
[final] ).
cnf(c_0_322,plain,
lhs_atom9,
c_0_243,
[final] ).
cnf(c_0_323,plain,
lhs_atom9,
c_0_244,
[final] ).
cnf(c_0_324,plain,
lhs_atom9,
c_0_245,
[final] ).
cnf(c_0_325,plain,
lhs_atom9,
c_0_246,
[final] ).
% End CNF derivation
cnf(c_0_247_0,axiom,
( v1_xboole_0(X1)
| v1_partfun1(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(unfold_definition,[status(thm)],[c_0_247,def_lhs_atom6]) ).
cnf(c_0_248_0,axiom,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(unfold_definition,[status(thm)],[c_0_248,def_lhs_atom6]) ).
cnf(c_0_249_0,axiom,
( ~ m1_relset_1(X1,X3,X2)
| X3 = X4
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
inference(unfold_definition,[status(thm)],[c_0_249,def_lhs_atom4]) ).
cnf(c_0_250_0,axiom,
( ~ m1_relset_1(X1,X3,X2)
| X2 = X5
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
inference(unfold_definition,[status(thm)],[c_0_250,def_lhs_atom4]) ).
cnf(c_0_251_0,axiom,
( ~ m1_relset_1(X1,X3,X2)
| X1 = X6
| g2_conlat_1(X3,X2,X1) != g2_conlat_1(X4,X5,X6) ),
inference(unfold_definition,[status(thm)],[c_0_251,def_lhs_atom4]) ).
cnf(c_0_252_0,axiom,
( ~ m1_relset_1(X3,X1,X2)
| k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3 ),
inference(unfold_definition,[status(thm)],[c_0_252,def_lhs_atom4]) ).
cnf(c_0_253_0,axiom,
( ~ m1_relset_1(X3,X1,X2)
| m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_253,def_lhs_atom4]) ).
cnf(c_0_254_0,axiom,
( ~ m1_relset_1(X1,X3,X2)
| v1_funct_2(X1,X3,X2)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_254,def_lhs_atom4]) ).
cnf(c_0_255_0,axiom,
( v1_xboole_0(X1)
| v1_funct_1(X2)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
inference(unfold_definition,[status(thm)],[c_0_255,def_lhs_atom6]) ).
cnf(c_0_256_0,axiom,
( ~ m1_relset_1(X1,X3,X2)
| v4_conlat_1(g2_conlat_1(X3,X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_256,def_lhs_atom4]) ).
cnf(c_0_257_0,axiom,
( ~ m1_relset_1(X1,X3,X2)
| l2_conlat_1(g2_conlat_1(X3,X2,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_257,def_lhs_atom4]) ).
cnf(c_0_258_0,axiom,
( ~ m1_relset_1(X1,X3,X2)
| v1_funct_1(X1)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_258,def_lhs_atom4]) ).
cnf(c_0_259_0,axiom,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_259,def_lhs_atom21]) ).
cnf(c_0_260_0,axiom,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(unfold_definition,[status(thm)],[c_0_260,def_lhs_atom13]) ).
cnf(c_0_261_0,axiom,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_261,def_lhs_atom12]) ).
cnf(c_0_262_0,axiom,
( ~ l2_lattices(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_262,def_lhs_atom12]) ).
cnf(c_0_263_0,axiom,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_263,def_lhs_atom11]) ).
cnf(c_0_264_0,axiom,
( ~ l1_lattices(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_264,def_lhs_atom11]) ).
cnf(c_0_265_0,axiom,
( ~ m1_relset_1(X3,X1,X2)
| k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
inference(unfold_definition,[status(thm)],[c_0_265,def_lhs_atom4]) ).
cnf(c_0_266_0,axiom,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_266,def_lhs_atom13]) ).
cnf(c_0_267_0,axiom,
( ~ l2_conlat_1(X1)
| g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) = X1
| ~ v4_conlat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_267,def_lhs_atom2]) ).
cnf(c_0_268_0,axiom,
( ~ l3_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
| ~ v3_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_268,def_lhs_atom1]) ).
cnf(c_0_269_0,axiom,
( ~ l2_conlat_1(X1)
| m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_269,def_lhs_atom2]) ).
cnf(c_0_270_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_270,def_lhs_atom28]) ).
cnf(c_0_271_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_271,def_lhs_atom1]) ).
cnf(c_0_272_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))
| v1_relat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_272,def_lhs_atom5]) ).
cnf(c_0_273_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_273,def_lhs_atom1]) ).
cnf(c_0_274_0,axiom,
( r1_filter_1(X2,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(unfold_definition,[status(thm)],[c_0_274,def_lhs_atom22]) ).
cnf(c_0_275_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_275,def_lhs_atom27]) ).
cnf(c_0_276_0,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_276,def_lhs_atom3]) ).
cnf(c_0_277_0,axiom,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_277,def_lhs_atom25]) ).
cnf(c_0_278_0,axiom,
( v1_xboole_0(X1)
| m1_subset_1(sk1_esk1_1(X1),k1_zfmisc_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_278,def_lhs_atom20]) ).
cnf(c_0_279_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_279,def_lhs_atom1]) ).
cnf(c_0_280_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_280,def_lhs_atom26]) ).
cnf(c_0_281_0,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_281,def_lhs_atom3]) ).
cnf(c_0_282_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v15_lattices(X1)
| ~ v14_lattices(X1)
| ~ v13_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_282,def_lhs_atom1]) ).
cnf(c_0_283_0,axiom,
( ~ v1_xboole_0(k2_zfmisc_1(X2,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_283,def_lhs_atom19]) ).
cnf(c_0_284_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v15_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_284,def_lhs_atom1]) ).
cnf(c_0_285_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_285,def_lhs_atom1]) ).
cnf(c_0_286_0,axiom,
( v1_xboole_0(X1)
| ~ v1_xboole_0(sk1_esk1_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_286,def_lhs_atom20]) ).
cnf(c_0_287_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v13_lattices(X1)
| ~ v15_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_287,def_lhs_atom1]) ).
cnf(c_0_288_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v14_lattices(X1)
| ~ v15_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_288,def_lhs_atom1]) ).
cnf(c_0_289_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_289,def_lhs_atom1]) ).
cnf(c_0_290_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v5_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_290,def_lhs_atom1]) ).
cnf(c_0_291_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_291,def_lhs_atom1]) ).
cnf(c_0_292_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v7_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_292,def_lhs_atom1]) ).
cnf(c_0_293_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v8_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_293,def_lhs_atom1]) ).
cnf(c_0_294_0,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| v9_lattices(X1)
| ~ v10_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_294,def_lhs_atom1]) ).
cnf(c_0_295_0,axiom,
( v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_295,def_lhs_atom24]) ).
cnf(c_0_296_0,axiom,
( ~ v1_xboole_0(u1_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l1_conlat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_296,def_lhs_atom18]) ).
cnf(c_0_297_0,axiom,
( ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_297,def_lhs_atom15]) ).
cnf(c_0_298_0,axiom,
( ~ v1_xboole_0(u2_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l1_conlat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_298,def_lhs_atom14]) ).
cnf(c_0_299_0,axiom,
( m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_299,def_lhs_atom8]) ).
cnf(c_0_300_0,axiom,
( k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_300,def_lhs_atom7]) ).
cnf(c_0_301_0,axiom,
( ~ v1_relat_1(X1)
| k4_relat_1(k4_relat_1(X1)) = X1 ),
inference(unfold_definition,[status(thm)],[c_0_301,def_lhs_atom10]) ).
cnf(c_0_302_0,axiom,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_302,def_lhs_atom12]) ).
cnf(c_0_303_0,axiom,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_303,def_lhs_atom11]) ).
cnf(c_0_304_0,axiom,
( ~ v1_relat_1(X1)
| v1_relat_1(k4_relat_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_304,def_lhs_atom10]) ).
cnf(c_0_305_0,axiom,
( ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_305,def_lhs_atom1]) ).
cnf(c_0_306_0,axiom,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_306,def_lhs_atom1]) ).
cnf(c_0_307_0,axiom,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_307,def_lhs_atom1]) ).
cnf(c_0_308_0,axiom,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(unfold_definition,[status(thm)],[c_0_308,def_lhs_atom1]) ).
cnf(c_0_309_0,axiom,
( ~ l2_lattices(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_309,def_lhs_atom12]) ).
cnf(c_0_310_0,axiom,
( ~ l2_conlat_1(X1)
| l1_conlat_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_310,def_lhs_atom2]) ).
cnf(c_0_311_0,axiom,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_311,def_lhs_atom11]) ).
cnf(c_0_312_0,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(unfold_definition,[status(thm)],[c_0_312,def_lhs_atom29]) ).
cnf(c_0_313_0,axiom,
r1_tarski(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_313,def_lhs_atom23]) ).
cnf(c_0_314_0,axiom,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(unfold_definition,[status(thm)],[c_0_314,def_lhs_atom16]) ).
cnf(c_0_315_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_315,def_lhs_atom17]) ).
cnf(c_0_316_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_316,def_lhs_atom9]) ).
cnf(c_0_317_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_317,def_lhs_atom9]) ).
cnf(c_0_318_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_318,def_lhs_atom9]) ).
cnf(c_0_319_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_319,def_lhs_atom9]) ).
cnf(c_0_320_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_320,def_lhs_atom9]) ).
cnf(c_0_321_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_321,def_lhs_atom9]) ).
cnf(c_0_322_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_322,def_lhs_atom9]) ).
cnf(c_0_323_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_323,def_lhs_atom9]) ).
cnf(c_0_324_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_324,def_lhs_atom9]) ).
cnf(c_0_325_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_325,def_lhs_atom9]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( ~ v3_struct_0(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('<stdin>',fc3_lattices) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('<stdin>',free_g3_lattices) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('<stdin>',dt_g3_lattices) ).
fof(c_0_3_004,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) )
=> ( v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_partfun1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) ) ) ),
file('<stdin>',cc6_funct_2) ).
fof(c_0_4_005,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( r1_filter_1(X1,X2)
<=> ? [X3] :
( m1_lattice4(X3,X1,X2)
& v3_lattice4(X3,X1,X2) ) ) ) ),
file('<stdin>',d5_lattice4) ).
fof(c_0_5_006,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_lattice4(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
file('<stdin>',dt_m1_lattice4) ).
fof(c_0_6_007,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_lattices(X1))
& v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',fc2_lattice2) ).
fof(c_0_7_008,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v5_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_lattices(X1))
& v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',fc3_lattice2) ).
fof(c_0_8_009,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_lattices(X1))
& v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',fc4_lattice2) ).
fof(c_0_9_010,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v7_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_lattices(X1))
& v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',fc5_lattice2) ).
fof(c_0_10_011,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ? [X3] : m1_lattice4(X3,X1,X2) ),
file('<stdin>',existence_m1_lattice4) ).
fof(c_0_11_012,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
file('<stdin>',existence_m1_relset_1) ).
fof(c_0_12_013,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
file('<stdin>',existence_m2_relset_1) ).
fof(c_0_13_014,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ),
file('<stdin>',rc1_funct_2) ).
fof(c_0_14_015,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3) ),
file('<stdin>',rc2_partfun1) ).
fof(c_0_15_016,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( r1_filter_1(X1,X2)
=> r1_filter_1(X2,X1) ) ),
file('<stdin>',symmetry_r1_filter_1) ).
fof(c_0_16_017,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_17_018,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_18_019,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X1)))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc8_conlat_1) ).
fof(c_0_19_020,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u2_conlat_1(X1)))
& ~ v1_xboole_0(X2) ) ),
file('<stdin>',rc9_conlat_1) ).
fof(c_0_20_021,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v4_lattice3(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v4_lattice3(k1_lattice2(X1)) ) ),
file('<stdin>',fc2_conlat_2) ).
fof(c_0_21_022,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('<stdin>',fc6_lattice2) ).
fof(c_0_22_023,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_23_024,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& l3_lattices(k11_conlat_1(X1)) ) ),
file('<stdin>',dt_k11_conlat_1) ).
fof(c_0_24_025,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& l2_conlat_1(k7_conlat_2(X1)) ) ),
file('<stdin>',dt_k7_conlat_2) ).
fof(c_0_25_026,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v13_lattices(k11_conlat_1(X1))
& v14_lattices(k11_conlat_1(X1))
& v15_lattices(k11_conlat_1(X1))
& v4_lattice3(k11_conlat_1(X1)) ) ),
file('<stdin>',fc1_conlat_2) ).
fof(c_0_26_027,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('<stdin>',fc1_lattice2) ).
fof(c_0_27_028,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1)) ) ),
file('<stdin>',fc4_conlat_1) ).
fof(c_0_28_029,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v4_lattice3(k11_conlat_1(X1)) ) ),
file('<stdin>',fc5_conlat_1) ).
fof(c_0_29_030,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('<stdin>',rc2_subset_1) ).
fof(c_0_30_031,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_31_032,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_32_033,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1) ),
file('<stdin>',rc11_lattices) ).
fof(c_0_33_034,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_34_035,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_35_036,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1) ),
file('<stdin>',rc6_lattices) ).
fof(c_0_36_037,axiom,
? [X1] :
( l2_conlat_1(X1)
& ~ v3_conlat_1(X1)
& v4_conlat_1(X1) ),
file('<stdin>',rc7_conlat_1) ).
fof(c_0_37_038,axiom,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1) ),
file('<stdin>',rc9_lattices) ).
fof(c_0_38_039,axiom,
? [X1] : l1_conlat_1(X1),
file('<stdin>',existence_l1_conlat_1) ).
fof(c_0_39_040,axiom,
? [X1] : l1_lattices(X1),
file('<stdin>',existence_l1_lattices) ).
fof(c_0_40_041,axiom,
? [X1] : l1_struct_0(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_41_042,axiom,
? [X1] : l2_conlat_1(X1),
file('<stdin>',existence_l2_conlat_1) ).
fof(c_0_42_043,axiom,
? [X1] : l2_lattices(X1),
file('<stdin>',existence_l2_lattices) ).
fof(c_0_43_044,axiom,
? [X1] : l3_lattices(X1),
file('<stdin>',existence_l3_lattices) ).
fof(c_0_44_045,axiom,
? [X1] : v1_xboole_0(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_45_046,axiom,
? [X1] :
( l3_lattices(X1)
& v3_lattices(X1) ),
file('<stdin>',rc3_lattices) ).
fof(c_0_46_047,axiom,
? [X1] :
( l2_conlat_1(X1)
& v4_conlat_1(X1) ),
file('<stdin>',rc5_conlat_1) ).
fof(c_0_47_048,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( ~ v3_struct_0(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_48_049,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
c_0_1 ).
fof(c_0_49_050,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
c_0_2 ).
fof(c_0_50_051,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( m1_relset_1(X3,X1,X2)
=> ( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) )
=> ( v1_funct_1(X3)
& ~ v1_xboole_0(X3)
& v1_partfun1(X3,X1,X2)
& v1_funct_2(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_51_052,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( r1_filter_1(X1,X2)
<=> ? [X3] :
( m1_lattice4(X3,X1,X2)
& v3_lattice4(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_52_053,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_lattice4(X3,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_53_054,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_lattices(X1))
& v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_54_055,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v5_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_lattices(X1))
& v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_55_056,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_lattices(X1))
& v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_56_057,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v7_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_lattices(X1))
& v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_57_058,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ? [X3] : m1_lattice4(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_58_059,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
c_0_11 ).
fof(c_0_59_060,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
c_0_12 ).
fof(c_0_60_061,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ),
c_0_13 ).
fof(c_0_61_062,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3) ),
c_0_14 ).
fof(c_0_62_063,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( r1_filter_1(X1,X2)
=> r1_filter_1(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_63_064,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_16 ).
fof(c_0_64_065,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_17]) ).
fof(c_0_65_066,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_conlat_1(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_66_067,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l1_conlat_1(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u2_conlat_1(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_67_068,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v4_lattice3(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v4_lattice3(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_68_069,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_69_070,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_22 ).
fof(c_0_70_071,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& l3_lattices(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_71_072,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& l2_conlat_1(k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_72_073,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v13_lattices(k11_conlat_1(X1))
& v14_lattices(k11_conlat_1(X1))
& v15_lattices(k11_conlat_1(X1))
& v4_lattice3(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_73_074,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_74_075,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_75_076,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v4_lattice3(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_76_077,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
c_0_29 ).
fof(c_0_77_078,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_30 ).
fof(c_0_78_079,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_31 ).
fof(c_0_79_080,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_80_081,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_81_082,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_82_083,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_83_084,plain,
? [X1] :
( l2_conlat_1(X1)
& ~ v3_conlat_1(X1)
& v4_conlat_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_84_085,plain,
? [X1] :
( l3_lattices(X1)
& ~ v3_struct_0(X1)
& v3_lattices(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_85_086,axiom,
? [X1] : l1_conlat_1(X1),
c_0_38 ).
fof(c_0_86_087,axiom,
? [X1] : l1_lattices(X1),
c_0_39 ).
fof(c_0_87_088,axiom,
? [X1] : l1_struct_0(X1),
c_0_40 ).
fof(c_0_88_089,axiom,
? [X1] : l2_conlat_1(X1),
c_0_41 ).
fof(c_0_89_090,axiom,
? [X1] : l2_lattices(X1),
c_0_42 ).
fof(c_0_90_091,axiom,
? [X1] : l3_lattices(X1),
c_0_43 ).
fof(c_0_91_092,axiom,
? [X1] : v1_xboole_0(X1),
c_0_44 ).
fof(c_0_92_093,axiom,
? [X1] :
( l3_lattices(X1)
& v3_lattices(X1) ),
c_0_45 ).
fof(c_0_93_094,axiom,
? [X1] :
( l2_conlat_1(X1)
& v4_conlat_1(X1) ),
c_0_46 ).
fof(c_0_94_095,plain,
! [X4,X5,X6] :
( ( ~ v3_struct_0(g3_lattices(X4,X5,X6))
| v1_xboole_0(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) )
& ( v3_lattices(g3_lattices(X4,X5,X6))
| v1_xboole_0(X4)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
fof(c_0_95_096,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( X7 = X10
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X8 = X11
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X9 = X12
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
fof(c_0_96_097,plain,
! [X4,X5,X6] :
( ( v3_lattices(g3_lattices(X4,X5,X6))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) )
& ( l3_lattices(g3_lattices(X4,X5,X6))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
| ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
fof(c_0_97_098,plain,
! [X4,X5,X6] :
( ( v1_funct_1(X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X4,X5)
| ~ m1_relset_1(X6,X4,X5)
| v1_xboole_0(X4)
| v1_xboole_0(X5) )
& ( ~ v1_xboole_0(X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X4,X5)
| ~ m1_relset_1(X6,X4,X5)
| v1_xboole_0(X4)
| v1_xboole_0(X5) )
& ( v1_partfun1(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X4,X5)
| ~ m1_relset_1(X6,X4,X5)
| v1_xboole_0(X4)
| v1_xboole_0(X5) )
& ( v1_funct_2(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X4,X5)
| ~ m1_relset_1(X6,X4,X5)
| v1_xboole_0(X4)
| v1_xboole_0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_98_099,plain,
! [X4,X5,X7] :
( ( m1_lattice4(esk26_2(X4,X5),X4,X5)
| ~ r1_filter_1(X4,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v3_lattice4(esk26_2(X4,X5),X4,X5)
| ~ r1_filter_1(X4,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( ~ m1_lattice4(X7,X4,X5)
| ~ v3_lattice4(X7,X4,X5)
| r1_filter_1(X4,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
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_51])])])])]) ).
fof(c_0_99_100,plain,
! [X4,X5,X6] :
( ( v1_funct_1(X6)
| ~ m1_lattice4(X6,X4,X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m1_lattice4(X6,X4,X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m1_lattice4(X6,X4,X5)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| 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_52])])])]) ).
fof(c_0_100_101,plain,
! [X2] :
( ( v1_relat_1(u2_lattices(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_funct_1(u2_lattices(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_binop_1(u2_lattices(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_partfun1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_lattices(X2)
| ~ l2_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_101_102,plain,
! [X2] :
( ( v1_relat_1(u2_lattices(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_funct_1(u2_lattices(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) )
& ( v2_binop_1(u2_lattices(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) )
& ( v1_partfun1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v5_lattices(X2)
| ~ l2_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_102_103,plain,
! [X2] :
( ( v1_relat_1(u1_lattices(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_funct_1(u1_lattices(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_binop_1(u1_lattices(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_partfun1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v6_lattices(X2)
| ~ l1_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_103_104,plain,
! [X2] :
( ( v1_relat_1(u1_lattices(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_funct_1(u1_lattices(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) )
& ( v2_binop_1(u1_lattices(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) )
& ( v1_partfun1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v7_lattices(X2)
| ~ l1_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
fof(c_0_104_105,plain,
! [X4,X5] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5)
| m1_lattice4(esk19_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
fof(c_0_105_106,plain,
! [X4,X5] : m1_relset_1(esk18_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_58])]) ).
fof(c_0_106_107,plain,
! [X4,X5] : m2_relset_1(esk16_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_59])]) ).
fof(c_0_107_108,plain,
! [X4,X5] :
( m1_relset_1(esk14_2(X4,X5),X4,X5)
& v1_relat_1(esk14_2(X4,X5))
& v1_funct_1(esk14_2(X4,X5))
& v1_funct_2(esk14_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_60])]) ).
fof(c_0_108_109,plain,
! [X4,X5] :
( m1_relset_1(esk12_2(X4,X5),X4,X5)
& v1_relat_1(esk12_2(X4,X5))
& v1_funct_1(esk12_2(X4,X5)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_61])]) ).
fof(c_0_109_110,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ r1_filter_1(X3,X4)
| r1_filter_1(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
fof(c_0_110_111,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_63])])])]) ).
fof(c_0_111_112,plain,
! [X3] :
( ( m1_subset_1(esk6_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk6_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_64])])])]) ).
fof(c_0_112_113,plain,
! [X3] :
( ( m1_subset_1(esk3_1(X3),k1_zfmisc_1(u1_conlat_1(X3)))
| v3_conlat_1(X3)
| ~ l1_conlat_1(X3) )
& ( ~ v1_xboole_0(esk3_1(X3))
| v3_conlat_1(X3)
| ~ l1_conlat_1(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).
fof(c_0_113_114,plain,
! [X3] :
( ( m1_subset_1(esk2_1(X3),k1_zfmisc_1(u2_conlat_1(X3)))
| v3_conlat_1(X3)
| ~ l1_conlat_1(X3) )
& ( ~ v1_xboole_0(esk2_1(X3))
| v3_conlat_1(X3)
| ~ l1_conlat_1(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
fof(c_0_114_115,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v4_lattice3(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
fof(c_0_115_116,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
fof(c_0_116_117,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).
fof(c_0_117_118,plain,
! [X2] :
( ( ~ v3_struct_0(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( l3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])]) ).
fof(c_0_118_119,plain,
! [X2] :
( ( ~ v3_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( l2_conlat_1(k7_conlat_2(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
fof(c_0_119_120,plain,
! [X2] :
( ( ~ v3_struct_0(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v5_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v6_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v7_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v8_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v9_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v10_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v13_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v14_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v15_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_lattice3(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])]) ).
fof(c_0_120_121,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])]) ).
fof(c_0_121_122,plain,
! [X2] :
( ( ~ v3_struct_0(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v5_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v6_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v7_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v8_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v9_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v10_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])]) ).
fof(c_0_122_123,plain,
! [X2] :
( ( ~ v3_struct_0(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v5_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v6_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v7_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v8_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v9_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v10_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_lattice3(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).
fof(c_0_123_124,plain,
! [X3] :
( m1_subset_1(esk11_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk11_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_76])]) ).
fof(c_0_124_125,plain,
! [X3] : m1_subset_1(esk17_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_77])]) ).
fof(c_0_125_126,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_78])])])]) ).
fof(c_0_126_127,plain,
( l3_lattices(esk15_0)
& ~ v3_struct_0(esk15_0)
& v3_lattices(esk15_0)
& v4_lattices(esk15_0)
& v5_lattices(esk15_0)
& v6_lattices(esk15_0)
& v7_lattices(esk15_0)
& v8_lattices(esk15_0)
& v9_lattices(esk15_0)
& v10_lattices(esk15_0)
& v13_lattices(esk15_0)
& v14_lattices(esk15_0)
& v15_lattices(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_79])]) ).
fof(c_0_127_128,plain,
~ v1_xboole_0(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_80])]) ).
fof(c_0_128_129,plain,
( l1_struct_0(esk8_0)
& ~ v3_struct_0(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_81])]) ).
fof(c_0_129_130,plain,
( l3_lattices(esk5_0)
& ~ v3_struct_0(esk5_0)
& v3_lattices(esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_82])]) ).
fof(c_0_130_131,plain,
( l2_conlat_1(esk4_0)
& ~ v3_conlat_1(esk4_0)
& v4_conlat_1(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_83])]) ).
fof(c_0_131_132,plain,
( l3_lattices(esk1_0)
& ~ v3_struct_0(esk1_0)
& v3_lattices(esk1_0)
& v4_lattices(esk1_0)
& v5_lattices(esk1_0)
& v6_lattices(esk1_0)
& v7_lattices(esk1_0)
& v8_lattices(esk1_0)
& v9_lattices(esk1_0)
& v10_lattices(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_84])]) ).
fof(c_0_132_133,plain,
l1_conlat_1(esk25_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_85])]) ).
fof(c_0_133_134,plain,
l1_lattices(esk24_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_86])]) ).
fof(c_0_134_135,plain,
l1_struct_0(esk23_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_87])]) ).
fof(c_0_135_136,plain,
l2_conlat_1(esk22_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_88])]) ).
fof(c_0_136_137,plain,
l2_lattices(esk21_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_89])]) ).
fof(c_0_137_138,plain,
l3_lattices(esk20_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_90])]) ).
fof(c_0_138_139,plain,
v1_xboole_0(esk13_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_91])]) ).
fof(c_0_139_140,plain,
( l3_lattices(esk9_0)
& v3_lattices(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_92])]) ).
fof(c_0_140_141,plain,
( l2_conlat_1(esk7_0)
& v4_conlat_1(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_93])]) ).
cnf(c_0_141_142,plain,
( v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_142_143,plain,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_143_144,plain,
( X3 = X5
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_144_145,plain,
( X1 = X6
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_145_146,plain,
( v1_xboole_0(X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_146_147,plain,
( v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_147_148,plain,
( l3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_148_149,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_partfun1(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_149_150,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_150_151,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_151_152,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_152_153,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_1(X3)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_153_154,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_154_155,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_155_156,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(esk26_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_156_157,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_lattice4(esk26_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_157_158,plain,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_158_159,plain,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_159_160,plain,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_160_161,plain,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_161_162,plain,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_162_163,plain,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_163_164,plain,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_164_165,plain,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_165_166,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_166_167,plain,
( m1_lattice4(esk19_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_167_168,plain,
m1_relset_1(esk18_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_168_169,plain,
m2_relset_1(esk16_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_169_170,plain,
m1_relset_1(esk14_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_170_171,plain,
v1_funct_2(esk14_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_171_172,plain,
m1_relset_1(esk12_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_172_173,plain,
( r1_filter_1(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ r1_filter_1(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_173_174,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_174_175,plain,
( v3_struct_0(X1)
| m1_subset_1(esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_175_176,plain,
( v3_conlat_1(X1)
| m1_subset_1(esk3_1(X1),k1_zfmisc_1(u1_conlat_1(X1)))
| ~ l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_176_177,plain,
( v3_conlat_1(X1)
| m1_subset_1(esk2_1(X1),k1_zfmisc_1(u2_conlat_1(X1)))
| ~ l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_177_178,plain,
( v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_178_179,plain,
( v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_179_180,plain,
( v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_180_181,plain,
( v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_181_182,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_182_183,plain,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_183_184,plain,
( v3_struct_0(X1)
| v4_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_184_185,plain,
( v3_struct_0(X1)
| v5_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_185_186,plain,
( v3_struct_0(X1)
| v6_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_186_187,plain,
( v3_struct_0(X1)
| v7_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_187_188,plain,
( v3_struct_0(X1)
| v8_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_188_189,plain,
( v3_struct_0(X1)
| v9_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_189_190,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_190_191,plain,
( v3_struct_0(X1)
| v4_lattice3(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_191_192,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_192_193,plain,
v1_relat_1(esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_193_194,plain,
v1_funct_1(esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_194_195,plain,
v1_relat_1(esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_195_196,plain,
v1_funct_1(esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_196_197,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_197_198,plain,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_198_199,plain,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_199_200,plain,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_200_201,plain,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_201_202,plain,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_202_203,plain,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_203_204,plain,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_204_205,plain,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_205_206,plain,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_206_207,plain,
( v3_struct_0(X1)
| v4_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_207_208,plain,
( v3_struct_0(X1)
| v5_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_208_209,plain,
( v3_struct_0(X1)
| v6_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_209_210,plain,
( v3_struct_0(X1)
| v7_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_210_211,plain,
( v3_struct_0(X1)
| v8_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_211_212,plain,
( v3_struct_0(X1)
| v9_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_212_213,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_213_214,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_214_215,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_215_216,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_216_217,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_217_218,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_218_219,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_219_220,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_220_221,plain,
( v3_conlat_1(X1)
| ~ l1_conlat_1(X1)
| ~ v1_xboole_0(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_221_222,plain,
( v3_conlat_1(X1)
| ~ l1_conlat_1(X1)
| ~ v1_xboole_0(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_222_223,plain,
m1_subset_1(esk11_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_223_224,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_224_225,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_225_226,plain,
( v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_226_227,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_227_228,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_228_229,plain,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_229_230,plain,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_230_231,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_231_232,plain,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_232_233,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_233_234,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_234_235,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_235_236,plain,
( v3_conlat_1(X1)
| v13_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_236_237,plain,
( v3_conlat_1(X1)
| v14_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_237_238,plain,
( v3_conlat_1(X1)
| v15_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_238_239,plain,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_239_240,plain,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_240_241,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_241_242,plain,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_242_243,plain,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_243_244,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_244_245,plain,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_245_246,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_246_247,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_247_248,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_248_249,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_249_250,plain,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_250_251,plain,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_251_252,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_252_253,plain,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_253_254,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_254_255,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_255_256,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_256_257,plain,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_257_258,plain,
m1_subset_1(esk17_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_258_259,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_259_260,plain,
v1_xboole_0(esk11_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_260_261,plain,
~ v3_struct_0(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_261_262,plain,
~ v1_xboole_0(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_262_263,plain,
~ v3_struct_0(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_263_264,plain,
~ v3_struct_0(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_264_265,plain,
~ v3_conlat_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_265_266,plain,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_266_267,plain,
l1_conlat_1(esk25_0),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_267_268,plain,
l1_lattices(esk24_0),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_268_269,plain,
l1_struct_0(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_269_270,plain,
l2_conlat_1(esk22_0),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_270_271,plain,
l2_lattices(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_271_272,plain,
l3_lattices(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_272_273,plain,
l3_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_273_274,plain,
v3_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_274_275,plain,
v4_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_275_276,plain,
v5_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_276_277,plain,
v6_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_277_278,plain,
v7_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_278_279,plain,
v8_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_279_280,plain,
v9_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_280_281,plain,
v10_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_281_282,plain,
v13_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_282_283,plain,
v14_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_283_284,plain,
v15_lattices(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_284_285,plain,
v1_xboole_0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_285_286,plain,
l3_lattices(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_286_287,plain,
v3_lattices(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_287_288,plain,
l1_struct_0(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_288_289,plain,
l2_conlat_1(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_289_290,plain,
v4_conlat_1(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_290_291,plain,
l3_lattices(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_291_292,plain,
v3_lattices(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_292_293,plain,
l2_conlat_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_293_294,plain,
v4_conlat_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_294_295,plain,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_295_296,plain,
v3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_296_297,plain,
v4_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_297_298,plain,
v5_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_298_299,plain,
v6_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_299_300,plain,
v7_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_300_301,plain,
v8_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_301_302,plain,
v9_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_302_303,plain,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_303_304,plain,
( v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
c_0_141,
[final] ).
cnf(c_0_304_305,plain,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
c_0_142,
[final] ).
cnf(c_0_305_306,plain,
( X3 = X5
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
c_0_143,
[final] ).
cnf(c_0_306_307,plain,
( X1 = X6
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
c_0_144,
[final] ).
cnf(c_0_307_308,plain,
( v1_xboole_0(X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
c_0_145,
[final] ).
cnf(c_0_308_309,plain,
( v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
c_0_146,
[final] ).
cnf(c_0_309_310,plain,
( l3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
c_0_147,
[final] ).
cnf(c_0_310_311,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_partfun1(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
c_0_148,
[final] ).
cnf(c_0_311_312,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
c_0_149,
[final] ).
cnf(c_0_312_313,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
c_0_150,
[final] ).
cnf(c_0_313_314,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ v1_xboole_0(X3) ),
c_0_151,
[final] ).
cnf(c_0_314_315,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_1(X3)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
c_0_152,
[final] ).
cnf(c_0_315_316,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
c_0_153,
[final] ).
cnf(c_0_316_317,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
c_0_154,
[final] ).
cnf(c_0_317_318,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(esk26_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
c_0_155,
[final] ).
cnf(c_0_318_319,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_lattice4(esk26_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
c_0_156,
[final] ).
cnf(c_0_319_320,plain,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_157,
[final] ).
cnf(c_0_320_321,plain,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_158,
[final] ).
cnf(c_0_321_322,plain,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_159,
[final] ).
cnf(c_0_322_323,plain,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_160,
[final] ).
cnf(c_0_323_324,plain,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_161,
[final] ).
cnf(c_0_324_325,plain,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_162,
[final] ).
cnf(c_0_325_326,plain,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_163,
[final] ).
cnf(c_0_326,plain,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_164,
[final] ).
cnf(c_0_327,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
c_0_165,
[final] ).
cnf(c_0_328,plain,
( m1_lattice4(esk19_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_166,
[final] ).
cnf(c_0_329,plain,
m1_relset_1(esk18_2(X1,X2),X1,X2),
c_0_167,
[final] ).
cnf(c_0_330,plain,
m2_relset_1(esk16_2(X1,X2),X1,X2),
c_0_168,
[final] ).
cnf(c_0_331,plain,
m1_relset_1(esk14_2(X1,X2),X1,X2),
c_0_169,
[final] ).
cnf(c_0_332,plain,
v1_funct_2(esk14_2(X1,X2),X1,X2),
c_0_170,
[final] ).
cnf(c_0_333,plain,
m1_relset_1(esk12_2(X1,X2),X1,X2),
c_0_171,
[final] ).
cnf(c_0_334,plain,
( r1_filter_1(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ r1_filter_1(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
c_0_172,
[final] ).
cnf(c_0_335,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_173,
[final] ).
cnf(c_0_336,plain,
( v3_struct_0(X1)
| m1_subset_1(esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_174,
[final] ).
cnf(c_0_337,plain,
( v3_conlat_1(X1)
| m1_subset_1(esk3_1(X1),k1_zfmisc_1(u1_conlat_1(X1)))
| ~ l1_conlat_1(X1) ),
c_0_175,
[final] ).
cnf(c_0_338,plain,
( v3_conlat_1(X1)
| m1_subset_1(esk2_1(X1),k1_zfmisc_1(u2_conlat_1(X1)))
| ~ l1_conlat_1(X1) ),
c_0_176,
[final] ).
cnf(c_0_339,plain,
( v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_177,
[final] ).
cnf(c_0_340,plain,
( v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_178,
[final] ).
cnf(c_0_341,plain,
( v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_179,
[final] ).
cnf(c_0_342,plain,
( v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_180,
[final] ).
cnf(c_0_343,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
c_0_181,
[final] ).
cnf(c_0_344,plain,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_182,
[final] ).
cnf(c_0_345,plain,
( v3_struct_0(X1)
| v4_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_183,
[final] ).
cnf(c_0_346,plain,
( v3_struct_0(X1)
| v5_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_184,
[final] ).
cnf(c_0_347,plain,
( v3_struct_0(X1)
| v6_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_185,
[final] ).
cnf(c_0_348,plain,
( v3_struct_0(X1)
| v7_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_186,
[final] ).
cnf(c_0_349,plain,
( v3_struct_0(X1)
| v8_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_187,
[final] ).
cnf(c_0_350,plain,
( v3_struct_0(X1)
| v9_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_188,
[final] ).
cnf(c_0_351,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_189,
[final] ).
cnf(c_0_352,plain,
( v3_struct_0(X1)
| v4_lattice3(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
c_0_190,
[final] ).
cnf(c_0_353,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
c_0_191,
[final] ).
cnf(c_0_354,plain,
v1_relat_1(esk14_2(X1,X2)),
c_0_192,
[final] ).
cnf(c_0_355,plain,
v1_funct_1(esk14_2(X1,X2)),
c_0_193,
[final] ).
cnf(c_0_356,plain,
v1_relat_1(esk12_2(X1,X2)),
c_0_194,
[final] ).
cnf(c_0_357,plain,
v1_funct_1(esk12_2(X1,X2)),
c_0_195,
[final] ).
cnf(c_0_358,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_196,
[final] ).
cnf(c_0_359,plain,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_197,
[final] ).
cnf(c_0_360,plain,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
c_0_198,
[final] ).
cnf(c_0_361,plain,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_199,
[final] ).
cnf(c_0_362,plain,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
c_0_200,
[final] ).
cnf(c_0_363,plain,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_201,
[final] ).
cnf(c_0_364,plain,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
c_0_202,
[final] ).
cnf(c_0_365,plain,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_203,
[final] ).
cnf(c_0_366,plain,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
c_0_204,
[final] ).
cnf(c_0_367,plain,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_205,
[final] ).
cnf(c_0_368,plain,
( v3_struct_0(X1)
| v4_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_206,
[final] ).
cnf(c_0_369,plain,
( v3_struct_0(X1)
| v5_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_207,
[final] ).
cnf(c_0_370,plain,
( v3_struct_0(X1)
| v6_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_208,
[final] ).
cnf(c_0_371,plain,
( v3_struct_0(X1)
| v7_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_209,
[final] ).
cnf(c_0_372,plain,
( v3_struct_0(X1)
| v8_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_210,
[final] ).
cnf(c_0_373,plain,
( v3_struct_0(X1)
| v9_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_211,
[final] ).
cnf(c_0_374,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
c_0_212,
[final] ).
cnf(c_0_375,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
c_0_213,
[final] ).
cnf(c_0_376,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
c_0_214,
[final] ).
cnf(c_0_377,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
c_0_215,
[final] ).
cnf(c_0_378,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
c_0_216,
[final] ).
cnf(c_0_379,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
c_0_217,
[final] ).
cnf(c_0_380,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
c_0_218,
[final] ).
cnf(c_0_381,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk6_1(X1)) ),
c_0_219,
[final] ).
cnf(c_0_382,plain,
( v3_conlat_1(X1)
| ~ l1_conlat_1(X1)
| ~ v1_xboole_0(esk3_1(X1)) ),
c_0_220,
[final] ).
cnf(c_0_383,plain,
( v3_conlat_1(X1)
| ~ l1_conlat_1(X1)
| ~ v1_xboole_0(esk2_1(X1)) ),
c_0_221,
[final] ).
cnf(c_0_384,plain,
m1_subset_1(esk11_1(X1),k1_zfmisc_1(X1)),
c_0_222,
[final] ).
cnf(c_0_385,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_223,
[final] ).
cnf(c_0_386,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_224,
[final] ).
cnf(c_0_387,plain,
( v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
c_0_225,
[final] ).
cnf(c_0_388,plain,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
c_0_226,
[final] ).
cnf(c_0_389,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_227,
[final] ).
cnf(c_0_390,plain,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_228,
[final] ).
cnf(c_0_391,plain,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_229,
[final] ).
cnf(c_0_392,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_230,
[final] ).
cnf(c_0_393,plain,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_231,
[final] ).
cnf(c_0_394,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_232,
[final] ).
cnf(c_0_395,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_233,
[final] ).
cnf(c_0_396,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_234,
[final] ).
cnf(c_0_397,plain,
( v3_conlat_1(X1)
| v13_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_235,
[final] ).
cnf(c_0_398,plain,
( v3_conlat_1(X1)
| v14_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_236,
[final] ).
cnf(c_0_399,plain,
( v3_conlat_1(X1)
| v15_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_237,
[final] ).
cnf(c_0_400,plain,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_238,
[final] ).
cnf(c_0_401,plain,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
c_0_239,
[final] ).
cnf(c_0_402,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_240,
[final] ).
cnf(c_0_403,plain,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_241,
[final] ).
cnf(c_0_404,plain,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_242,
[final] ).
cnf(c_0_405,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_243,
[final] ).
cnf(c_0_406,plain,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_244,
[final] ).
cnf(c_0_407,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_245,
[final] ).
cnf(c_0_408,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_246,
[final] ).
cnf(c_0_409,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_247,
[final] ).
cnf(c_0_410,plain,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_248,
[final] ).
cnf(c_0_411,plain,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_249,
[final] ).
cnf(c_0_412,plain,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_250,
[final] ).
cnf(c_0_413,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_251,
[final] ).
cnf(c_0_414,plain,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_252,
[final] ).
cnf(c_0_415,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_253,
[final] ).
cnf(c_0_416,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_254,
[final] ).
cnf(c_0_417,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_255,
[final] ).
cnf(c_0_418,plain,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
c_0_256,
[final] ).
cnf(c_0_419,plain,
m1_subset_1(esk17_1(X1),X1),
c_0_257,
[final] ).
cnf(c_0_420,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_258,
[final] ).
cnf(c_0_421,plain,
v1_xboole_0(esk11_1(X1)),
c_0_259,
[final] ).
cnf(c_0_422,plain,
~ v3_struct_0(esk15_0),
c_0_260,
[final] ).
cnf(c_0_423,plain,
~ v1_xboole_0(esk10_0),
c_0_261,
[final] ).
cnf(c_0_424,plain,
~ v3_struct_0(esk8_0),
c_0_262,
[final] ).
cnf(c_0_425,plain,
~ v3_struct_0(esk5_0),
c_0_263,
[final] ).
cnf(c_0_426,plain,
~ v3_conlat_1(esk4_0),
c_0_264,
[final] ).
cnf(c_0_427,plain,
~ v3_struct_0(esk1_0),
c_0_265,
[final] ).
cnf(c_0_428,plain,
l1_conlat_1(esk25_0),
c_0_266,
[final] ).
cnf(c_0_429,plain,
l1_lattices(esk24_0),
c_0_267,
[final] ).
cnf(c_0_430,plain,
l1_struct_0(esk23_0),
c_0_268,
[final] ).
cnf(c_0_431,plain,
l2_conlat_1(esk22_0),
c_0_269,
[final] ).
cnf(c_0_432,plain,
l2_lattices(esk21_0),
c_0_270,
[final] ).
cnf(c_0_433,plain,
l3_lattices(esk20_0),
c_0_271,
[final] ).
cnf(c_0_434,plain,
l3_lattices(esk15_0),
c_0_272,
[final] ).
cnf(c_0_435,plain,
v3_lattices(esk15_0),
c_0_273,
[final] ).
cnf(c_0_436,plain,
v4_lattices(esk15_0),
c_0_274,
[final] ).
cnf(c_0_437,plain,
v5_lattices(esk15_0),
c_0_275,
[final] ).
cnf(c_0_438,plain,
v6_lattices(esk15_0),
c_0_276,
[final] ).
cnf(c_0_439,plain,
v7_lattices(esk15_0),
c_0_277,
[final] ).
cnf(c_0_440,plain,
v8_lattices(esk15_0),
c_0_278,
[final] ).
cnf(c_0_441,plain,
v9_lattices(esk15_0),
c_0_279,
[final] ).
cnf(c_0_442,plain,
v10_lattices(esk15_0),
c_0_280,
[final] ).
cnf(c_0_443,plain,
v13_lattices(esk15_0),
c_0_281,
[final] ).
cnf(c_0_444,plain,
v14_lattices(esk15_0),
c_0_282,
[final] ).
cnf(c_0_445,plain,
v15_lattices(esk15_0),
c_0_283,
[final] ).
cnf(c_0_446,plain,
v1_xboole_0(esk13_0),
c_0_284,
[final] ).
cnf(c_0_447,plain,
l3_lattices(esk9_0),
c_0_285,
[final] ).
cnf(c_0_448,plain,
v3_lattices(esk9_0),
c_0_286,
[final] ).
cnf(c_0_449,plain,
l1_struct_0(esk8_0),
c_0_287,
[final] ).
cnf(c_0_450,plain,
l2_conlat_1(esk7_0),
c_0_288,
[final] ).
cnf(c_0_451,plain,
v4_conlat_1(esk7_0),
c_0_289,
[final] ).
cnf(c_0_452,plain,
l3_lattices(esk5_0),
c_0_290,
[final] ).
cnf(c_0_453,plain,
v3_lattices(esk5_0),
c_0_291,
[final] ).
cnf(c_0_454,plain,
l2_conlat_1(esk4_0),
c_0_292,
[final] ).
cnf(c_0_455,plain,
v4_conlat_1(esk4_0),
c_0_293,
[final] ).
cnf(c_0_456,plain,
l3_lattices(esk1_0),
c_0_294,
[final] ).
cnf(c_0_457,plain,
v3_lattices(esk1_0),
c_0_295,
[final] ).
cnf(c_0_458,plain,
v4_lattices(esk1_0),
c_0_296,
[final] ).
cnf(c_0_459,plain,
v5_lattices(esk1_0),
c_0_297,
[final] ).
cnf(c_0_460,plain,
v6_lattices(esk1_0),
c_0_298,
[final] ).
cnf(c_0_461,plain,
v7_lattices(esk1_0),
c_0_299,
[final] ).
cnf(c_0_462,plain,
v8_lattices(esk1_0),
c_0_300,
[final] ).
cnf(c_0_463,plain,
v9_lattices(esk1_0),
c_0_301,
[final] ).
cnf(c_0_464,plain,
v10_lattices(esk1_0),
c_0_302,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_303_1,axiom,
( v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_4,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_5,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_6,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v1_funct_1(X3)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_7,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2)
| ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_303_8,axiom,
( ~ v3_struct_0(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_304_1,axiom,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_4,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_5,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_6,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_7,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_304_8,axiom,
( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_305_1,axiom,
( X3 = X5
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_4,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_5,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_6,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_7,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_305_8,axiom,
( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X3 = X5 ),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_306_1,axiom,
( X1 = X6
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_4,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_5,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_6,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_7,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_306_8,axiom,
( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_307_1,axiom,
( v1_xboole_0(X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_2,axiom,
( v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_3,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_4,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_5,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_6,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_7,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_307_8,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_308_1,axiom,
( v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_4,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_5,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_6,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_308_7,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v3_lattices(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_309_1,axiom,
( l3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_4,axiom,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_5,axiom,
( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_6,axiom,
( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1))
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_7,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l3_lattices(g3_lattices(X2,X3,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_310_1,axiom,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_partfun1(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_2,axiom,
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_partfun1(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_3,axiom,
( v1_partfun1(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_4,axiom,
( ~ m1_relset_1(X3,X2,X1)
| v1_partfun1(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_5,axiom,
( ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_partfun1(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_partfun1(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_311_1,axiom,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_2,axiom,
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_3,axiom,
( v1_funct_2(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_4,axiom,
( ~ m1_relset_1(X3,X2,X1)
| v1_funct_2(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_5,axiom,
( ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_funct_2(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_311_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_funct_2(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_311]) ).
cnf(c_0_312_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_2,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_3,axiom,
( r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_4,axiom,
( ~ l3_lattices(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_5,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_6,axiom,
( ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_7,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_lattice4(X3,X1,X2)
| ~ m1_lattice4(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_8,axiom,
( ~ v3_lattice4(X3,X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_lattice4(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_312_9,axiom,
( ~ m1_lattice4(X3,X1,X2)
| ~ v3_lattice4(X3,X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_313_1,axiom,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_2,axiom,
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_3,axiom,
( ~ m1_relset_1(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3)
| ~ v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_4,axiom,
( ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_5,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_313_6,axiom,
( ~ v1_xboole_0(X3)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_314_1,axiom,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| v1_funct_1(X3)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_2,axiom,
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_funct_1(X3)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_3,axiom,
( v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_relset_1(X3,X2,X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_4,axiom,
( ~ m1_relset_1(X3,X2,X1)
| v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_2(X3,X2,X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_5,axiom,
( ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_314_6,axiom,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X2,X1)
| ~ m1_relset_1(X3,X2,X1)
| v1_funct_1(X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_315_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_2,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_3,axiom,
( v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_4,axiom,
( ~ l3_lattices(X1)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_5,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_6,axiom,
( ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_7,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_315_8,axiom,
( ~ m1_lattice4(X3,X2,X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_315]) ).
cnf(c_0_316_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_2,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_3,axiom,
( m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_4,axiom,
( ~ l3_lattices(X1)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_5,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_6,axiom,
( ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_7,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_316_8,axiom,
( ~ m1_lattice4(X3,X2,X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_316]) ).
cnf(c_0_317_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_2,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_3,axiom,
( m1_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_4,axiom,
( ~ l3_lattices(X1)
| m1_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_5,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_6,axiom,
( ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_7,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_317_8,axiom,
( ~ r1_filter_1(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_317]) ).
cnf(c_0_318_1,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_2,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| v3_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_3,axiom,
( v3_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_4,axiom,
( ~ l3_lattices(X1)
| v3_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_5,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_6,axiom,
( ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X2)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_7,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_318_8,axiom,
( ~ r1_filter_1(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_lattice4(sk2_esk26_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_318]) ).
cnf(c_0_319_1,axiom,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_2,axiom,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_3,axiom,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_319_4,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_319]) ).
cnf(c_0_320_1,axiom,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_2,axiom,
( v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_3,axiom,
( ~ l2_lattices(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_320_4,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_320]) ).
cnf(c_0_321_1,axiom,
( v3_struct_0(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_2,axiom,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_3,axiom,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_321_4,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_321]) ).
cnf(c_0_322_1,axiom,
( v3_struct_0(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_2,axiom,
( v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_3,axiom,
( ~ l2_lattices(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_322_4,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_322]) ).
cnf(c_0_323_1,axiom,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_2,axiom,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_3,axiom,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_323_4,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_323]) ).
cnf(c_0_324_1,axiom,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_2,axiom,
( v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_3,axiom,
( ~ l1_lattices(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_324_4,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_324]) ).
cnf(c_0_325_1,axiom,
( v3_struct_0(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_2,axiom,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_3,axiom,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_325_4,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_325]) ).
cnf(c_0_326_0,axiom,
( v3_struct_0(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_1,axiom,
( v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_2,axiom,
( ~ l1_lattices(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_326_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_326]) ).
cnf(c_0_327_0,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_1,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_2,axiom,
( v1_funct_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_3,axiom,
( ~ l3_lattices(X1)
| v1_funct_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_4,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_funct_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_5,axiom,
( ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_funct_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X2)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_6,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_funct_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_lattice4(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_327_7,axiom,
( ~ m1_lattice4(X3,X2,X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_funct_1(X3)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_327]) ).
cnf(c_0_328_0,axiom,
( m1_lattice4(sk2_esk19_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_1,axiom,
( v3_struct_0(X2)
| m1_lattice4(sk2_esk19_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_2,axiom,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(sk2_esk19_2(X1,X2),X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_3,axiom,
( ~ l3_lattices(X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(sk2_esk19_2(X1,X2),X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_4,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(sk2_esk19_2(X1,X2),X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_5,axiom,
( ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(sk2_esk19_2(X1,X2),X1,X2)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_328_6,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| m1_lattice4(sk2_esk19_2(X1,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_328]) ).
cnf(c_0_334_0,axiom,
( r1_filter_1(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ r1_filter_1(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_1,axiom,
( v3_struct_0(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| ~ r1_filter_1(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_2,axiom,
( v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ r1_filter_1(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_3,axiom,
( ~ r1_filter_1(X2,X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_4,axiom,
( ~ l3_lattices(X1)
| ~ r1_filter_1(X2,X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_5,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_filter_1(X2,X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_6,axiom,
( ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_filter_1(X2,X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ v10_lattices(X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_334_7,axiom,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_filter_1(X2,X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_334]) ).
cnf(c_0_335_0,axiom,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_1,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_335_2,axiom,
( ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_335]) ).
cnf(c_0_336_0,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_1,axiom,
( m1_subset_1(sk2_esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_336_2,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk2_esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_336]) ).
cnf(c_0_337_0,axiom,
( v3_conlat_1(X1)
| m1_subset_1(sk2_esk3_1(X1),k1_zfmisc_1(u1_conlat_1(X1)))
| ~ l1_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_1,axiom,
( m1_subset_1(sk2_esk3_1(X1),k1_zfmisc_1(u1_conlat_1(X1)))
| v3_conlat_1(X1)
| ~ l1_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_337_2,axiom,
( ~ l1_conlat_1(X1)
| m1_subset_1(sk2_esk3_1(X1),k1_zfmisc_1(u1_conlat_1(X1)))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_337]) ).
cnf(c_0_338_0,axiom,
( v3_conlat_1(X1)
| m1_subset_1(sk2_esk2_1(X1),k1_zfmisc_1(u2_conlat_1(X1)))
| ~ l1_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_1,axiom,
( m1_subset_1(sk2_esk2_1(X1),k1_zfmisc_1(u2_conlat_1(X1)))
| v3_conlat_1(X1)
| ~ l1_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_338_2,axiom,
( ~ l1_conlat_1(X1)
| m1_subset_1(sk2_esk2_1(X1),k1_zfmisc_1(u2_conlat_1(X1)))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_338]) ).
cnf(c_0_339_0,axiom,
( v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_1,axiom,
( v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_2,axiom,
( ~ l2_lattices(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_339_3,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_339]) ).
cnf(c_0_340_0,axiom,
( v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_1,axiom,
( v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_2,axiom,
( ~ l2_lattices(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_340_3,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_340]) ).
cnf(c_0_341_0,axiom,
( v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_1,axiom,
( v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_2,axiom,
( ~ l1_lattices(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_341_3,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_341]) ).
cnf(c_0_342_0,axiom,
( v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_1,axiom,
( v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_2,axiom,
( ~ l1_lattices(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_342_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_342]) ).
cnf(c_0_343_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_2,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_3,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_343_4,axiom,
( ~ v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_343]) ).
cnf(c_0_344_0,axiom,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_1,axiom,
( v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_2,axiom,
( ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_344_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_344]) ).
cnf(c_0_345_0,axiom,
( v3_struct_0(X1)
| v4_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_1,axiom,
( v4_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_2,axiom,
( ~ l3_lattices(X1)
| v4_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v4_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_345_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v4_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_345]) ).
cnf(c_0_346_0,axiom,
( v3_struct_0(X1)
| v5_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_1,axiom,
( v5_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_2,axiom,
( ~ l3_lattices(X1)
| v5_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v5_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_346_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v5_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_346]) ).
cnf(c_0_347_0,axiom,
( v3_struct_0(X1)
| v6_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_1,axiom,
( v6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_2,axiom,
( ~ l3_lattices(X1)
| v6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_347_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v6_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_347]) ).
cnf(c_0_348_0,axiom,
( v3_struct_0(X1)
| v7_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_1,axiom,
( v7_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_2,axiom,
( ~ l3_lattices(X1)
| v7_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v7_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_348_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v7_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_348]) ).
cnf(c_0_349_0,axiom,
( v3_struct_0(X1)
| v8_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_1,axiom,
( v8_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_2,axiom,
( ~ l3_lattices(X1)
| v8_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v8_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_349_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v8_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_349]) ).
cnf(c_0_350_0,axiom,
( v3_struct_0(X1)
| v9_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_1,axiom,
( v9_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_2,axiom,
( ~ l3_lattices(X1)
| v9_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v9_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_350_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v9_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_350]) ).
cnf(c_0_351_0,axiom,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_1,axiom,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_2,axiom,
( ~ l3_lattices(X1)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_351_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_351]) ).
cnf(c_0_352_0,axiom,
( v3_struct_0(X1)
| v4_lattice3(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_1,axiom,
( v4_lattice3(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_2,axiom,
( ~ l3_lattices(X1)
| v4_lattice3(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_3,axiom,
( ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v4_lattice3(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_352_4,axiom,
( ~ v10_lattices(X1)
| ~ v4_lattice3(X1)
| ~ l3_lattices(X1)
| v4_lattice3(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_352]) ).
cnf(c_0_353_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_2,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_353_3,axiom,
( ~ v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_353]) ).
cnf(c_0_358_0,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_358_1,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_358]) ).
cnf(c_0_359_0,axiom,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_359_1,axiom,
( v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_359_2,axiom,
( ~ l2_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_359_3,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_359]) ).
cnf(c_0_360_0,axiom,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_360_1,axiom,
( v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_360_2,axiom,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_360_3,axiom,
( ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_360]) ).
cnf(c_0_361_0,axiom,
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_361_1,axiom,
( v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_361_2,axiom,
( ~ l2_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_361_3,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v1_relat_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_361]) ).
cnf(c_0_362_0,axiom,
( v3_struct_0(X1)
| v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_362_1,axiom,
( v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_362_2,axiom,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_362_3,axiom,
( ~ v5_lattices(X1)
| ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_362]) ).
cnf(c_0_363_0,axiom,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_363_1,axiom,
( v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_363_2,axiom,
( ~ l1_lattices(X1)
| v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_363_3,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_363]) ).
cnf(c_0_364_0,axiom,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_364_1,axiom,
( v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_364_2,axiom,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_364_3,axiom,
( ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_364]) ).
cnf(c_0_365_0,axiom,
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_365_1,axiom,
( v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_365_2,axiom,
( ~ l1_lattices(X1)
| v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_365_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v1_relat_1(u1_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_365]) ).
cnf(c_0_366_0,axiom,
( v3_struct_0(X1)
| v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_366_1,axiom,
( v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_366_2,axiom,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_366_3,axiom,
( ~ v7_lattices(X1)
| ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_366]) ).
cnf(c_0_367_0,axiom,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_367]) ).
cnf(c_0_367_1,axiom,
( v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_367]) ).
cnf(c_0_367_2,axiom,
( ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_367]) ).
cnf(c_0_367_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_367]) ).
cnf(c_0_368_0,axiom,
( v3_struct_0(X1)
| v4_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_368_1,axiom,
( v4_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_368_2,axiom,
( ~ l3_lattices(X1)
| v4_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_368_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v4_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_368]) ).
cnf(c_0_369_0,axiom,
( v3_struct_0(X1)
| v5_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_369_1,axiom,
( v5_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_369_2,axiom,
( ~ l3_lattices(X1)
| v5_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_369_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v5_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_369]) ).
cnf(c_0_370_0,axiom,
( v3_struct_0(X1)
| v6_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_370_1,axiom,
( v6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_370_2,axiom,
( ~ l3_lattices(X1)
| v6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_370_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v6_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_370]) ).
cnf(c_0_371_0,axiom,
( v3_struct_0(X1)
| v7_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_371]) ).
cnf(c_0_371_1,axiom,
( v7_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_371]) ).
cnf(c_0_371_2,axiom,
( ~ l3_lattices(X1)
| v7_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_371]) ).
cnf(c_0_371_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v7_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_371]) ).
cnf(c_0_372_0,axiom,
( v3_struct_0(X1)
| v8_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_372_1,axiom,
( v8_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_372_2,axiom,
( ~ l3_lattices(X1)
| v8_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_372_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v8_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_372]) ).
cnf(c_0_373_0,axiom,
( v3_struct_0(X1)
| v9_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_373]) ).
cnf(c_0_373_1,axiom,
( v9_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_373]) ).
cnf(c_0_373_2,axiom,
( ~ l3_lattices(X1)
| v9_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_373]) ).
cnf(c_0_373_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v9_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_373]) ).
cnf(c_0_374_0,axiom,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_374]) ).
cnf(c_0_374_1,axiom,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_374]) ).
cnf(c_0_374_2,axiom,
( ~ l3_lattices(X1)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_374]) ).
cnf(c_0_374_3,axiom,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_374]) ).
cnf(c_0_375_0,axiom,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_375]) ).
cnf(c_0_375_1,axiom,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_375]) ).
cnf(c_0_375_2,axiom,
( ~ v3_struct_0(k11_conlat_1(X1))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_375]) ).
cnf(c_0_376_0,axiom,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_376]) ).
cnf(c_0_376_1,axiom,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_376]) ).
cnf(c_0_376_2,axiom,
( ~ v3_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_376]) ).
cnf(c_0_377_0,axiom,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_377]) ).
cnf(c_0_377_1,axiom,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_377]) ).
cnf(c_0_377_2,axiom,
( ~ v3_struct_0(k11_conlat_1(X1))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_377]) ).
cnf(c_0_378_0,axiom,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_378]) ).
cnf(c_0_378_1,axiom,
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_378]) ).
cnf(c_0_378_2,axiom,
( ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_378]) ).
cnf(c_0_379_0,axiom,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_379]) ).
cnf(c_0_379_1,axiom,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_379]) ).
cnf(c_0_379_2,axiom,
( ~ v3_struct_0(k11_conlat_1(X1))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_379]) ).
cnf(c_0_380_0,axiom,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_380_1,axiom,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_380_2,axiom,
( ~ v3_struct_0(k11_conlat_1(X1))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_380]) ).
cnf(c_0_381_0,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk2_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_381_1,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk6_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_381_2,axiom,
( ~ v1_xboole_0(sk2_esk6_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_381]) ).
cnf(c_0_382_0,axiom,
( v3_conlat_1(X1)
| ~ l1_conlat_1(X1)
| ~ v1_xboole_0(sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_382_1,axiom,
( ~ l1_conlat_1(X1)
| v3_conlat_1(X1)
| ~ v1_xboole_0(sk2_esk3_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_382_2,axiom,
( ~ v1_xboole_0(sk2_esk3_1(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_382]) ).
cnf(c_0_383_0,axiom,
( v3_conlat_1(X1)
| ~ l1_conlat_1(X1)
| ~ v1_xboole_0(sk2_esk2_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_383_1,axiom,
( ~ l1_conlat_1(X1)
| v3_conlat_1(X1)
| ~ v1_xboole_0(sk2_esk2_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_383_2,axiom,
( ~ v1_xboole_0(sk2_esk2_1(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_383]) ).
cnf(c_0_385_0,axiom,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_385_1,axiom,
( v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_385_2,axiom,
( ~ l2_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_385]) ).
cnf(c_0_386_0,axiom,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_386_1,axiom,
( l3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_386_2,axiom,
( ~ l2_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_386]) ).
cnf(c_0_387_0,axiom,
( v3_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_387_1,axiom,
( v4_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_387_2,axiom,
( ~ l2_conlat_1(X1)
| v4_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_387]) ).
cnf(c_0_388_0,axiom,
( v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_1,axiom,
( l2_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_388_2,axiom,
( ~ l2_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_388]) ).
cnf(c_0_389_0,axiom,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_1,axiom,
( v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_389_2,axiom,
( ~ l2_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_389]) ).
cnf(c_0_390_0,axiom,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_1,axiom,
( v4_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_390_2,axiom,
( ~ l2_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_390]) ).
cnf(c_0_391_0,axiom,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_1,axiom,
( v5_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_391_2,axiom,
( ~ l2_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_391]) ).
cnf(c_0_392_0,axiom,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_392_1,axiom,
( v6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_392_2,axiom,
( ~ l2_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_392]) ).
cnf(c_0_393_0,axiom,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_393]) ).
cnf(c_0_393_1,axiom,
( v7_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_393]) ).
cnf(c_0_393_2,axiom,
( ~ l2_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_393]) ).
cnf(c_0_394_0,axiom,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_394_1,axiom,
( v8_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_394_2,axiom,
( ~ l2_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_394]) ).
cnf(c_0_395_0,axiom,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_395_1,axiom,
( v9_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_395_2,axiom,
( ~ l2_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_395]) ).
cnf(c_0_396_0,axiom,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_396_1,axiom,
( v10_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_396_2,axiom,
( ~ l2_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_396]) ).
cnf(c_0_397_0,axiom,
( v3_conlat_1(X1)
| v13_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_397_1,axiom,
( v13_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_397_2,axiom,
( ~ l2_conlat_1(X1)
| v13_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_397]) ).
cnf(c_0_398_0,axiom,
( v3_conlat_1(X1)
| v14_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_398_1,axiom,
( v14_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_398_2,axiom,
( ~ l2_conlat_1(X1)
| v14_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_398]) ).
cnf(c_0_399_0,axiom,
( v3_conlat_1(X1)
| v15_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
cnf(c_0_399_1,axiom,
( v15_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
cnf(c_0_399_2,axiom,
( ~ l2_conlat_1(X1)
| v15_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_399]) ).
cnf(c_0_400_0,axiom,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_400]) ).
cnf(c_0_400_1,axiom,
( v4_lattice3(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_400]) ).
cnf(c_0_400_2,axiom,
( ~ l2_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_400]) ).
cnf(c_0_401_0,axiom,
( v3_struct_0(X1)
| v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_401]) ).
cnf(c_0_401_1,axiom,
( v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(literals_permutation,[status(thm)],[c_0_401]) ).
cnf(c_0_401_2,axiom,
( ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_401]) ).
cnf(c_0_402_0,axiom,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_402]) ).
cnf(c_0_402_1,axiom,
( v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_402]) ).
cnf(c_0_402_2,axiom,
( ~ l2_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_402]) ).
cnf(c_0_403_0,axiom,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_403_1,axiom,
( v4_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_403_2,axiom,
( ~ l2_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_403]) ).
cnf(c_0_404_0,axiom,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_404]) ).
cnf(c_0_404_1,axiom,
( v5_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_404]) ).
cnf(c_0_404_2,axiom,
( ~ l2_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_404]) ).
cnf(c_0_405_0,axiom,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_405]) ).
cnf(c_0_405_1,axiom,
( v6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_405]) ).
cnf(c_0_405_2,axiom,
( ~ l2_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_405]) ).
cnf(c_0_406_0,axiom,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_406]) ).
cnf(c_0_406_1,axiom,
( v7_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_406]) ).
cnf(c_0_406_2,axiom,
( ~ l2_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_406]) ).
cnf(c_0_407_0,axiom,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_407]) ).
cnf(c_0_407_1,axiom,
( v8_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_407]) ).
cnf(c_0_407_2,axiom,
( ~ l2_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_407]) ).
cnf(c_0_408_0,axiom,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_408]) ).
cnf(c_0_408_1,axiom,
( v9_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_408]) ).
cnf(c_0_408_2,axiom,
( ~ l2_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_408]) ).
cnf(c_0_409_0,axiom,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_409]) ).
cnf(c_0_409_1,axiom,
( v10_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_409]) ).
cnf(c_0_409_2,axiom,
( ~ l2_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_409]) ).
cnf(c_0_410_0,axiom,
( v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_410]) ).
cnf(c_0_410_1,axiom,
( v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_410]) ).
cnf(c_0_410_2,axiom,
( ~ l2_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_410]) ).
cnf(c_0_411_0,axiom,
( v3_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_411]) ).
cnf(c_0_411_1,axiom,
( v4_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_411]) ).
cnf(c_0_411_2,axiom,
( ~ l2_conlat_1(X1)
| v4_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_411]) ).
cnf(c_0_412_0,axiom,
( v3_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_412]) ).
cnf(c_0_412_1,axiom,
( v5_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_412]) ).
cnf(c_0_412_2,axiom,
( ~ l2_conlat_1(X1)
| v5_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_412]) ).
cnf(c_0_413_0,axiom,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_413]) ).
cnf(c_0_413_1,axiom,
( v6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_413]) ).
cnf(c_0_413_2,axiom,
( ~ l2_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_413]) ).
cnf(c_0_414_0,axiom,
( v3_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_414_1,axiom,
( v7_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_414_2,axiom,
( ~ l2_conlat_1(X1)
| v7_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_414]) ).
cnf(c_0_415_0,axiom,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_415]) ).
cnf(c_0_415_1,axiom,
( v8_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_415]) ).
cnf(c_0_415_2,axiom,
( ~ l2_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_415]) ).
cnf(c_0_416_0,axiom,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_416]) ).
cnf(c_0_416_1,axiom,
( v9_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_416]) ).
cnf(c_0_416_2,axiom,
( ~ l2_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_416]) ).
cnf(c_0_417_0,axiom,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_417]) ).
cnf(c_0_417_1,axiom,
( v10_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_417]) ).
cnf(c_0_417_2,axiom,
( ~ l2_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_417]) ).
cnf(c_0_418_0,axiom,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_418]) ).
cnf(c_0_418_1,axiom,
( v4_lattice3(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_418]) ).
cnf(c_0_418_2,axiom,
( ~ l2_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_418]) ).
cnf(c_0_420_0,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_420]) ).
cnf(c_0_420_1,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_420]) ).
cnf(c_0_420_2,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_420]) ).
cnf(c_0_422_0,axiom,
~ v3_struct_0(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_422]) ).
cnf(c_0_423_0,axiom,
~ v1_xboole_0(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_423]) ).
cnf(c_0_424_0,axiom,
~ v3_struct_0(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_424]) ).
cnf(c_0_425_0,axiom,
~ v3_struct_0(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_425]) ).
cnf(c_0_426_0,axiom,
~ v3_conlat_1(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_426]) ).
cnf(c_0_427_0,axiom,
~ v3_struct_0(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_427]) ).
cnf(c_0_329_0,axiom,
m1_relset_1(sk2_esk18_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_329]) ).
cnf(c_0_330_0,axiom,
m2_relset_1(sk2_esk16_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_330]) ).
cnf(c_0_331_0,axiom,
m1_relset_1(sk2_esk14_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_331]) ).
cnf(c_0_332_0,axiom,
v1_funct_2(sk2_esk14_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_332]) ).
cnf(c_0_333_0,axiom,
m1_relset_1(sk2_esk12_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_333]) ).
cnf(c_0_354_0,axiom,
v1_relat_1(sk2_esk14_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_354]) ).
cnf(c_0_355_0,axiom,
v1_funct_1(sk2_esk14_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_355]) ).
cnf(c_0_356_0,axiom,
v1_relat_1(sk2_esk12_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_356]) ).
cnf(c_0_357_0,axiom,
v1_funct_1(sk2_esk12_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_357]) ).
cnf(c_0_384_0,axiom,
m1_subset_1(sk2_esk11_1(X1),k1_zfmisc_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_384]) ).
cnf(c_0_419_0,axiom,
m1_subset_1(sk2_esk17_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_419]) ).
cnf(c_0_421_0,axiom,
v1_xboole_0(sk2_esk11_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_421]) ).
cnf(c_0_428_0,axiom,
l1_conlat_1(sk2_esk25_0),
inference(literals_permutation,[status(thm)],[c_0_428]) ).
cnf(c_0_429_0,axiom,
l1_lattices(sk2_esk24_0),
inference(literals_permutation,[status(thm)],[c_0_429]) ).
cnf(c_0_430_0,axiom,
l1_struct_0(sk2_esk23_0),
inference(literals_permutation,[status(thm)],[c_0_430]) ).
cnf(c_0_431_0,axiom,
l2_conlat_1(sk2_esk22_0),
inference(literals_permutation,[status(thm)],[c_0_431]) ).
cnf(c_0_432_0,axiom,
l2_lattices(sk2_esk21_0),
inference(literals_permutation,[status(thm)],[c_0_432]) ).
cnf(c_0_433_0,axiom,
l3_lattices(sk2_esk20_0),
inference(literals_permutation,[status(thm)],[c_0_433]) ).
cnf(c_0_434_0,axiom,
l3_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_434]) ).
cnf(c_0_435_0,axiom,
v3_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_435]) ).
cnf(c_0_436_0,axiom,
v4_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_436]) ).
cnf(c_0_437_0,axiom,
v5_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_437]) ).
cnf(c_0_438_0,axiom,
v6_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_438]) ).
cnf(c_0_439_0,axiom,
v7_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_439]) ).
cnf(c_0_440_0,axiom,
v8_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_440]) ).
cnf(c_0_441_0,axiom,
v9_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_441]) ).
cnf(c_0_442_0,axiom,
v10_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_442]) ).
cnf(c_0_443_0,axiom,
v13_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_443]) ).
cnf(c_0_444_0,axiom,
v14_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_444]) ).
cnf(c_0_445_0,axiom,
v15_lattices(sk2_esk15_0),
inference(literals_permutation,[status(thm)],[c_0_445]) ).
cnf(c_0_446_0,axiom,
v1_xboole_0(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_446]) ).
cnf(c_0_447_0,axiom,
l3_lattices(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_447]) ).
cnf(c_0_448_0,axiom,
v3_lattices(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_448]) ).
cnf(c_0_449_0,axiom,
l1_struct_0(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_449]) ).
cnf(c_0_450_0,axiom,
l2_conlat_1(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_450]) ).
cnf(c_0_451_0,axiom,
v4_conlat_1(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_451]) ).
cnf(c_0_452_0,axiom,
l3_lattices(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_452]) ).
cnf(c_0_453_0,axiom,
v3_lattices(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_453]) ).
cnf(c_0_454_0,axiom,
l2_conlat_1(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_454]) ).
cnf(c_0_455_0,axiom,
v4_conlat_1(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_455]) ).
cnf(c_0_456_0,axiom,
l3_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_456]) ).
cnf(c_0_457_0,axiom,
v3_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_457]) ).
cnf(c_0_458_0,axiom,
v4_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_458]) ).
cnf(c_0_459_0,axiom,
v5_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_459]) ).
cnf(c_0_460_0,axiom,
v6_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_460]) ).
cnf(c_0_461_0,axiom,
v7_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_461]) ).
cnf(c_0_462_0,axiom,
v8_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_462]) ).
cnf(c_0_463_0,axiom,
v9_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_463]) ).
cnf(c_0_464_0,axiom,
v10_lattices(sk2_esk1_0),
inference(literals_permutation,[status(thm)],[c_0_464]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_327,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1))) ),
file('<stdin>',t22_conlat_2) ).
fof(c_0_1_328,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1))) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_329,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_330,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_331,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_332,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_333,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0))),
c_0_3,
[final] ).
cnf(c_0_7_334,negated_conjecture,
~ v3_conlat_1(esk1_0),
c_0_4,
[final] ).
cnf(c_0_8_335,negated_conjecture,
l2_conlat_1(esk1_0),
c_0_5,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_589,negated_conjecture,
~ v3_conlat_1(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_7) ).
cnf(c_721,negated_conjecture,
~ v3_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_589]) ).
cnf(c_732,negated_conjecture,
~ v3_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_721]) ).
cnf(c_735,negated_conjecture,
~ v3_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_732]) ).
cnf(c_738,negated_conjecture,
~ v3_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_735]) ).
cnf(c_2509,negated_conjecture,
~ v3_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_738]) ).
cnf(c_322,plain,
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_375_0) ).
cnf(c_1975,plain,
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(copy,[status(esa)],[c_322]) ).
cnf(c_1976,plain,
( ~ v3_struct_0(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rewriting,[status(thm)],[c_1975]) ).
cnf(c_2541,plain,
( ~ v3_struct_0(k11_conlat_1(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_2509,c_1976]) ).
cnf(c_2546,plain,
( ~ v3_struct_0(k11_conlat_1(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_2541]) ).
cnf(c_590,negated_conjecture,
l2_conlat_1(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_8) ).
cnf(c_723,negated_conjecture,
l2_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_590]) ).
cnf(c_733,negated_conjecture,
l2_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_723]) ).
cnf(c_734,negated_conjecture,
l2_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_733]) ).
cnf(c_739,negated_conjecture,
l2_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_734]) ).
cnf(c_2511,negated_conjecture,
l2_conlat_1(sk3_esk1_0),
inference(copy,[status(esa)],[c_739]) ).
cnf(c_2707,plain,
~ v3_struct_0(k11_conlat_1(sk3_esk1_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2546,c_2511]) ).
cnf(c_2708,plain,
~ v3_struct_0(k11_conlat_1(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_2707]) ).
cnf(c_331,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_378_0) ).
cnf(c_1993,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_331]) ).
cnf(c_1994,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(rewriting,[status(thm)],[c_1993]) ).
cnf(c_2732,plain,
( ~ v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ l3_lattices(k11_conlat_1(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_2708,c_1994]) ).
cnf(c_2803,plain,
( ~ v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ l3_lattices(k11_conlat_1(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_2732]) ).
cnf(c_352,plain,
( ~ l2_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_386_0) ).
cnf(c_2035,plain,
( ~ l2_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(copy,[status(esa)],[c_352]) ).
cnf(c_2036,plain,
( l3_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rewriting,[status(thm)],[c_2035]) ).
cnf(c_2536,plain,
( l3_lattices(k11_conlat_1(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_2509,c_2036]) ).
cnf(c_2551,plain,
( l3_lattices(k11_conlat_1(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_2536]) ).
cnf(c_2578,plain,
l3_lattices(k11_conlat_1(sk3_esk1_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2551,c_2511]) ).
cnf(c_2579,plain,
l3_lattices(k11_conlat_1(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_2578]) ).
cnf(c_3317,plain,
~ v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(forward_subsumption_resolution,[status(thm)],[c_2803,c_2579]) ).
cnf(c_3318,plain,
~ v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(rewriting,[status(thm)],[c_3317]) ).
cnf(c_66,plain,
( ~ m1_lattice4(X0,X1,X2)
| ~ v3_lattice4(X0,X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_312_1) ).
cnf(c_1463,plain,
( ~ m1_lattice4(X0,X1,X2)
| ~ v3_lattice4(X0,X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| r1_filter_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_1464,plain,
( v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| r1_filter_1(X1,X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1)
| ~ v3_lattice4(X2,X1,X0)
| ~ m1_lattice4(X2,X1,X0) ),
inference(rewriting,[status(thm)],[c_1463]) ).
cnf(c_3333,plain,
( v3_struct_0(X0)
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ l3_lattices(X0)
| r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0)
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(X0)
| ~ v3_lattice4(X1,k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0)
| ~ m1_lattice4(X1,k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0) ),
inference(resolution,[status(thm)],[c_3318,c_1464]) ).
cnf(c_3334,plain,
( v3_struct_0(X0)
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ l3_lattices(X0)
| r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0)
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(X0)
| ~ v3_lattice4(X1,k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0)
| ~ m1_lattice4(X1,k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0) ),
inference(rewriting,[status(thm)],[c_3333]) ).
cnf(c_318,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_374_0) ).
cnf(c_1967,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(copy,[status(esa)],[c_318]) ).
cnf(c_1968,plain,
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0) ),
inference(rewriting,[status(thm)],[c_1967]) ).
cnf(c_2733,plain,
( ~ l3_lattices(k11_conlat_1(sk3_esk1_0))
| v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_2708,c_1968]) ).
cnf(c_2802,plain,
( ~ l3_lattices(k11_conlat_1(sk3_esk1_0))
| v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_2733]) ).
cnf(c_382,plain,
( ~ l2_conlat_1(X0)
| v10_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_396_0) ).
cnf(c_2095,plain,
( ~ l2_conlat_1(X0)
| v10_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0) ),
inference(copy,[status(esa)],[c_382]) ).
cnf(c_2096,plain,
( v10_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rewriting,[status(thm)],[c_2095]) ).
cnf(c_2527,plain,
( v10_lattices(k11_conlat_1(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_2509,c_2096]) ).
cnf(c_2560,plain,
( v10_lattices(k11_conlat_1(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_2527]) ).
cnf(c_2675,plain,
v10_lattices(k11_conlat_1(sk3_esk1_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2560,c_2511]) ).
cnf(c_2676,plain,
v10_lattices(k11_conlat_1(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_2675]) ).
cnf(c_3723,plain,
v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(forward_subsumption_resolution,[status(thm)],[c_2802,c_2676,c_2579]) ).
cnf(c_3724,plain,
v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(rewriting,[status(thm)],[c_3723]) ).
cnf(c_528,plain,
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_306_0) ).
cnf(c_2387,plain,
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(copy,[status(esa)],[c_528]) ).
cnf(c_2603,plain,
l3_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(resolution,[status(thm)],[c_2579,c_2387]) ).
cnf(c_2612,plain,
l3_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(rewriting,[status(thm)],[c_2603]) ).
cnf(c_10871,plain,
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0)
| ~ v10_lattices(X0)
| ~ v3_lattice4(X1,k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0)
| ~ m1_lattice4(X1,k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3334,c_3724,c_2612]) ).
cnf(c_10872,plain,
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0)
| ~ v10_lattices(X0)
| ~ v3_lattice4(X1,k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0)
| ~ m1_lattice4(X1,k1_lattice2(k11_conlat_1(sk3_esk1_0)),X0) ),
inference(rewriting,[status(thm)],[c_10871]) ).
cnf(c_535,plain,
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_299_0) ).
cnf(c_2401,plain,
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(copy,[status(esa)],[c_535]) ).
cnf(c_2402,plain,
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rewriting,[status(thm)],[c_2401]) ).
cnf(c_10881,plain,
( v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v3_lattice4(k10_conlat_2(sk3_esk1_0),k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| v3_conlat_1(sk3_esk1_0)
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_10872,c_2402]) ).
cnf(c_10882,plain,
( v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v3_lattice4(k10_conlat_2(sk3_esk1_0),k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| v3_conlat_1(sk3_esk1_0)
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_10881]) ).
cnf(c_539,plain,
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_295_0) ).
cnf(c_2409,plain,
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(copy,[status(esa)],[c_539]) ).
cnf(c_2410,plain,
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rewriting,[status(thm)],[c_2409]) ).
cnf(c_325,plain,
( ~ v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_376_0) ).
cnf(c_1981,plain,
( ~ v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(copy,[status(esa)],[c_325]) ).
cnf(c_1982,plain,
( ~ v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(rewriting,[status(thm)],[c_1981]) ).
cnf(c_2540,plain,
( ~ v3_conlat_1(k7_conlat_2(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_2509,c_1982]) ).
cnf(c_2547,plain,
( ~ v3_conlat_1(k7_conlat_2(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_2540]) ).
cnf(c_2808,plain,
~ v3_conlat_1(k7_conlat_2(sk3_esk1_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2547,c_2511]) ).
cnf(c_2809,plain,
~ v3_conlat_1(k7_conlat_2(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_2808]) ).
cnf(c_2815,plain,
( v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l2_conlat_1(k7_conlat_2(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_2809,c_2096]) ).
cnf(c_2848,plain,
( v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l2_conlat_1(k7_conlat_2(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_2815]) ).
cnf(c_358,plain,
( ~ l2_conlat_1(X0)
| l2_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_388_0) ).
cnf(c_2047,plain,
( ~ l2_conlat_1(X0)
| l2_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0) ),
inference(copy,[status(esa)],[c_358]) ).
cnf(c_2048,plain,
( v3_conlat_1(X0)
| l2_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ),
inference(rewriting,[status(thm)],[c_2047]) ).
cnf(c_2534,plain,
( l2_conlat_1(k7_conlat_2(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_2509,c_2048]) ).
cnf(c_2553,plain,
( l2_conlat_1(k7_conlat_2(sk3_esk1_0))
| ~ l2_conlat_1(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_2534]) ).
cnf(c_2634,plain,
l2_conlat_1(k7_conlat_2(sk3_esk1_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2553,c_2511]) ).
cnf(c_2635,plain,
l2_conlat_1(k7_conlat_2(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_2634]) ).
cnf(c_3274,plain,
v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))),
inference(forward_subsumption_resolution,[status(thm)],[c_2848,c_2635]) ).
cnf(c_3275,plain,
v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))),
inference(rewriting,[status(thm)],[c_3274]) ).
cnf(c_2824,plain,
( l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l2_conlat_1(k7_conlat_2(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_2809,c_2036]) ).
cnf(c_2839,plain,
( l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l2_conlat_1(k7_conlat_2(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_2824]) ).
cnf(c_3075,plain,
l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))),
inference(forward_subsumption_resolution,[status(thm)],[c_2839,c_2635]) ).
cnf(c_3076,plain,
l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))),
inference(rewriting,[status(thm)],[c_3075]) ).
cnf(c_588,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sk3_esk1_0)),k1_lattice2(k11_conlat_1(sk3_esk1_0))),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_6) ).
cnf(c_719,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sk3_esk1_0)),k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(copy,[status(esa)],[c_588]) ).
cnf(c_731,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sk3_esk1_0)),k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(copy,[status(esa)],[c_719]) ).
cnf(c_736,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sk3_esk1_0)),k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(copy,[status(esa)],[c_731]) ).
cnf(c_737,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sk3_esk1_0)),k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(copy,[status(esa)],[c_736]) ).
cnf(c_2507,plain,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sk3_esk1_0)),k1_lattice2(k11_conlat_1(sk3_esk1_0))),
inference(copy,[status(esa)],[c_737]) ).
cnf(c_166,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_filter_1(X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| r1_filter_1(X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p',c_0_334_0) ).
cnf(c_1663,plain,
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_filter_1(X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| r1_filter_1(X1,X0) ),
inference(copy,[status(esa)],[c_166]) ).
cnf(c_1664,plain,
( v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X1,X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(X1) ),
inference(rewriting,[status(thm)],[c_1663]) ).
cnf(c_2567,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))) ),
inference(resolution,[status(thm)],[c_2507,c_1664]) ).
cnf(c_2568,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))) ),
inference(rewriting,[status(thm)],[c_2567]) ).
cnf(c_3004,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2612,c_2568]) ).
cnf(c_3005,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))) ),
inference(rewriting,[status(thm)],[c_3004]) ).
cnf(c_3078,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3076,c_3005]) ).
cnf(c_3079,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(sk3_esk1_0))) ),
inference(rewriting,[status(thm)],[c_3078]) ).
cnf(c_3277,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3275,c_3079]) ).
cnf(c_3278,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sk3_esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sk3_esk1_0))) ),
inference(rewriting,[status(thm)],[c_3277]) ).
cnf(c_2829,plain,
( ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l2_conlat_1(k7_conlat_2(sk3_esk1_0)) ),
inference(resolution,[status(thm)],[c_2809,c_1976]) ).
cnf(c_2834,plain,
( ~ v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0)))
| ~ l2_conlat_1(k7_conlat_2(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_2829]) ).
cnf(c_3440,plain,
~ v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0))),
inference(forward_subsumption_resolution,[status(thm)],[c_2834,c_2635]) ).
cnf(c_3441,plain,
~ v3_struct_0(k11_conlat_1(k7_conlat_2(sk3_esk1_0))),
inference(rewriting,[status(thm)],[c_3440]) ).
cnf(c_3865,plain,
~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0))),
inference(forward_subsumption_resolution,[status(thm)],[c_3278,c_3724,c_3441,c_3318]) ).
cnf(c_3866,plain,
~ r1_filter_1(k1_lattice2(k11_conlat_1(sk3_esk1_0)),k11_conlat_1(k7_conlat_2(sk3_esk1_0))),
inference(rewriting,[status(thm)],[c_3865]) ).
cnf(c_68649,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10882,c_2511,c_2509,c_2410,c_3275,c_3866,c_3076,c_3441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 30 10:20:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.21/0.44 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.44 % FOF problem with conjecture
% 0.21/0.44 % 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/sandbox2/tmp/iprover_proof_04e23c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_bdb642.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_4bb1bf | grep -v "SZS"
% 0.21/0.47
% 0.21/0.47 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.47
% 0.21/0.47 %
% 0.21/0.47 % ------ iProver source info
% 0.21/0.47
% 0.21/0.47 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.47 % git: non_committed_changes: true
% 0.21/0.47 % git: last_make_outside_of_git: true
% 0.21/0.47
% 0.21/0.47 %
% 0.21/0.47 % ------ Input Options
% 0.21/0.47
% 0.21/0.47 % --out_options all
% 0.21/0.47 % --tptp_safe_out true
% 0.21/0.47 % --problem_path ""
% 0.21/0.47 % --include_path ""
% 0.21/0.47 % --clausifier .//eprover
% 0.21/0.47 % --clausifier_options --tstp-format
% 0.21/0.47 % --stdin false
% 0.21/0.47 % --dbg_backtrace false
% 0.21/0.47 % --dbg_dump_prop_clauses false
% 0.21/0.47 % --dbg_dump_prop_clauses_file -
% 0.21/0.47 % --dbg_out_stat false
% 0.21/0.47
% 0.21/0.47 % ------ General Options
% 0.21/0.47
% 0.21/0.47 % --fof false
% 0.21/0.47 % --time_out_real 150.
% 0.21/0.47 % --time_out_prep_mult 0.2
% 0.21/0.47 % --time_out_virtual -1.
% 0.21/0.47 % --schedule none
% 0.21/0.47 % --ground_splitting input
% 0.21/0.47 % --splitting_nvd 16
% 0.21/0.47 % --non_eq_to_eq false
% 0.21/0.47 % --prep_gs_sim true
% 0.21/0.47 % --prep_unflatten false
% 0.21/0.47 % --prep_res_sim true
% 0.21/0.47 % --prep_upred true
% 0.21/0.47 % --res_sim_input true
% 0.21/0.47 % --clause_weak_htbl true
% 0.21/0.47 % --gc_record_bc_elim false
% 0.21/0.47 % --symbol_type_check false
% 0.21/0.47 % --clausify_out false
% 0.21/0.47 % --large_theory_mode false
% 0.21/0.47 % --prep_sem_filter none
% 0.21/0.47 % --prep_sem_filter_out false
% 0.21/0.47 % --preprocessed_out false
% 0.21/0.47 % --sub_typing false
% 0.21/0.47 % --brand_transform false
% 0.21/0.47 % --pure_diseq_elim true
% 0.21/0.47 % --min_unsat_core false
% 0.21/0.47 % --pred_elim true
% 0.21/0.47 % --add_important_lit false
% 0.21/0.47 % --soft_assumptions false
% 0.21/0.47 % --reset_solvers false
% 0.21/0.47 % --bc_imp_inh []
% 0.21/0.47 % --conj_cone_tolerance 1.5
% 0.21/0.47 % --prolific_symb_bound 500
% 0.21/0.47 % --lt_threshold 2000
% 0.21/0.47
% 0.21/0.47 % ------ SAT Options
% 0.21/0.47
% 0.21/0.47 % --sat_mode false
% 0.21/0.47 % --sat_fm_restart_options ""
% 0.21/0.47 % --sat_gr_def false
% 0.21/0.47 % --sat_epr_types true
% 0.21/0.47 % --sat_non_cyclic_types false
% 0.21/0.47 % --sat_finite_models false
% 0.21/0.47 % --sat_fm_lemmas false
% 0.21/0.47 % --sat_fm_prep false
% 0.21/0.47 % --sat_fm_uc_incr true
% 0.21/0.47 % --sat_out_model small
% 0.21/0.47 % --sat_out_clauses false
% 0.21/0.47
% 0.21/0.47 % ------ QBF Options
% 0.21/0.47
% 0.21/0.47 % --qbf_mode false
% 0.21/0.47 % --qbf_elim_univ true
% 0.21/0.47 % --qbf_sk_in true
% 0.21/0.47 % --qbf_pred_elim true
% 0.21/0.47 % --qbf_split 32
% 0.21/0.47
% 0.21/0.47 % ------ BMC1 Options
% 0.21/0.47
% 0.21/0.47 % --bmc1_incremental false
% 0.21/0.47 % --bmc1_axioms reachable_all
% 0.21/0.47 % --bmc1_min_bound 0
% 0.21/0.47 % --bmc1_max_bound -1
% 0.21/0.47 % --bmc1_max_bound_default -1
% 0.21/0.47 % --bmc1_symbol_reachability true
% 0.21/0.47 % --bmc1_property_lemmas false
% 0.21/0.47 % --bmc1_k_induction false
% 0.21/0.47 % --bmc1_non_equiv_states false
% 0.21/0.47 % --bmc1_deadlock false
% 0.21/0.47 % --bmc1_ucm false
% 0.21/0.47 % --bmc1_add_unsat_core none
% 0.21/0.47 % --bmc1_unsat_core_children false
% 0.21/0.47 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.47 % --bmc1_out_stat full
% 0.21/0.47 % --bmc1_ground_init false
% 0.21/0.47 % --bmc1_pre_inst_next_state false
% 0.21/0.47 % --bmc1_pre_inst_state false
% 0.21/0.47 % --bmc1_pre_inst_reach_state false
% 0.21/0.47 % --bmc1_out_unsat_core false
% 0.21/0.47 % --bmc1_aig_witness_out false
% 0.21/0.47 % --bmc1_verbose false
% 0.21/0.47 % --bmc1_dump_clauses_tptp false
% 0.36/0.52 % --bmc1_dump_unsat_core_tptp false
% 0.36/0.52 % --bmc1_dump_file -
% 0.36/0.52 % --bmc1_ucm_expand_uc_limit 128
% 0.36/0.52 % --bmc1_ucm_n_expand_iterations 6
% 0.36/0.52 % --bmc1_ucm_extend_mode 1
% 0.36/0.52 % --bmc1_ucm_init_mode 2
% 0.36/0.52 % --bmc1_ucm_cone_mode none
% 0.36/0.52 % --bmc1_ucm_reduced_relation_type 0
% 0.36/0.52 % --bmc1_ucm_relax_model 4
% 0.36/0.52 % --bmc1_ucm_full_tr_after_sat true
% 0.36/0.52 % --bmc1_ucm_expand_neg_assumptions false
% 0.36/0.52 % --bmc1_ucm_layered_model none
% 0.36/0.52 % --bmc1_ucm_max_lemma_size 10
% 0.36/0.52
% 0.36/0.52 % ------ AIG Options
% 0.36/0.52
% 0.36/0.52 % --aig_mode false
% 0.36/0.52
% 0.36/0.52 % ------ Instantiation Options
% 0.36/0.52
% 0.36/0.52 % --instantiation_flag true
% 0.36/0.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.36/0.52 % --inst_solver_per_active 750
% 0.36/0.52 % --inst_solver_calls_frac 0.5
% 0.36/0.52 % --inst_passive_queue_type priority_queues
% 0.36/0.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.36/0.52 % --inst_passive_queues_freq [25;2]
% 0.36/0.52 % --inst_dismatching true
% 0.36/0.52 % --inst_eager_unprocessed_to_passive true
% 0.36/0.52 % --inst_prop_sim_given true
% 0.36/0.52 % --inst_prop_sim_new false
% 0.36/0.52 % --inst_orphan_elimination true
% 0.36/0.52 % --inst_learning_loop_flag true
% 0.36/0.52 % --inst_learning_start 3000
% 0.36/0.52 % --inst_learning_factor 2
% 0.36/0.52 % --inst_start_prop_sim_after_learn 3
% 0.36/0.52 % --inst_sel_renew solver
% 0.36/0.52 % --inst_lit_activity_flag true
% 0.36/0.52 % --inst_out_proof true
% 0.36/0.52
% 0.36/0.52 % ------ Resolution Options
% 0.36/0.52
% 0.36/0.52 % --resolution_flag true
% 0.36/0.52 % --res_lit_sel kbo_max
% 0.36/0.52 % --res_to_prop_solver none
% 0.36/0.52 % --res_prop_simpl_new false
% 0.36/0.52 % --res_prop_simpl_given false
% 0.36/0.52 % --res_passive_queue_type priority_queues
% 0.36/0.52 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.36/0.52 % --res_passive_queues_freq [15;5]
% 0.36/0.52 % --res_forward_subs full
% 0.36/0.52 % --res_backward_subs full
% 0.36/0.52 % --res_forward_subs_resolution true
% 0.36/0.52 % --res_backward_subs_resolution true
% 0.36/0.52 % --res_orphan_elimination false
% 0.36/0.52 % --res_time_limit 1000.
% 0.36/0.52 % --res_out_proof true
% 0.36/0.52 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_04e23c.s
% 0.36/0.52 % --modulo true
% 0.36/0.52
% 0.36/0.52 % ------ Combination Options
% 0.36/0.52
% 0.36/0.52 % --comb_res_mult 1000
% 0.36/0.52 % --comb_inst_mult 300
% 0.36/0.52 % ------
% 0.36/0.52
% 0.36/0.52 % ------ Parsing...% successful
% 0.36/0.52
% 0.36/0.52 % ------ 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 %
% 0.36/0.52
% 0.36/0.52 % ------ Proving...
% 0.36/0.52 % ------ Problem Properties
% 0.36/0.52
% 0.36/0.52 %
% 0.36/0.52 % EPR false
% 0.36/0.52 % Horn false
% 0.36/0.52 % Has equality true
% 0.36/0.52
% 0.36/0.52 % % ------ Input Options Time Limit: Unbounded
% 0.36/0.52
% 0.36/0.52
% 0.36/0.52 % % ------ Current options:
% 0.36/0.52
% 0.36/0.52 % ------ Input Options
% 0.36/0.52
% 0.36/0.52 % --out_options all
% 0.36/0.52 % --tptp_safe_out true
% 0.36/0.52 % --problem_path ""
% 0.36/0.52 % --include_path ""
% 0.36/0.52 % --clausifier .//eprover
% 0.36/0.52 % --clausifier_options --tstp-format
% 0.36/0.52 % --stdin false
% 0.36/0.52 % --dbg_backtrace false
% 0.36/0.52 % --dbg_dump_prop_clauses false
% 0.36/0.52 % --dbg_dump_prop_clauses_file -
% 0.36/0.52 % --dbg_out_stat false
% 0.36/0.52
% 0.36/0.52 % ------ General Options
% 0.36/0.52
% 0.36/0.52 % --fof false
% 0.36/0.52 % --time_out_real 150.
% 0.36/0.52 % --time_out_prep_mult 0.2
% 0.36/0.52 % --time_out_virtual -1.
% 0.36/0.52 % --schedule none
% 0.36/0.52 % --ground_splitting input
% 0.36/0.52 % --splitting_nvd 16
% 0.36/0.52 % --non_eq_to_eq false
% 0.36/0.52 % --prep_gs_sim true
% 0.36/0.52 % --prep_unflatten false
% 0.36/0.52 % --prep_res_sim true
% 0.36/0.52 % --prep_upred true
% 0.36/0.52 % --res_sim_input true
% 0.36/0.52 % --clause_weak_htbl true
% 0.36/0.52 % --gc_record_bc_elim false
% 0.36/0.52 % --symbol_type_check false
% 0.36/0.52 % --clausify_out false
% 0.36/0.52 % --large_theory_mode false
% 0.36/0.52 % --prep_sem_filter none
% 0.36/0.52 % --prep_sem_filter_out false
% 0.36/0.52 % --preprocessed_out false
% 0.36/0.52 % --sub_typing false
% 0.36/0.52 % --brand_transform false
% 0.36/0.52 % --pure_diseq_elim true
% 0.36/0.52 % --min_unsat_core false
% 0.36/0.52 % --pred_elim true
% 0.36/0.52 % --add_important_lit false
% 0.36/0.52 % --soft_assumptions false
% 0.36/0.52 % --reset_solvers false
% 0.36/0.52 % --bc_imp_inh []
% 0.36/0.52 % --conj_cone_tolerance 1.5
% 0.36/0.52 % --prolific_symb_bound 500
% 0.36/0.52 % --lt_threshold 2000
% 0.36/0.52
% 0.36/0.52 % ------ SAT Options
% 0.36/0.52
% 0.36/0.52 % --sat_mode false
% 0.36/0.52 % --sat_fm_restart_options ""
% 0.36/0.52 % --sat_gr_def false
% 0.36/0.52 % --sat_epr_types true
% 0.36/0.52 % --sat_non_cyclic_types false
% 0.36/0.52 % --sat_finite_models false
% 0.36/0.52 % --sat_fm_lemmas false
% 0.36/0.52 % --sat_fm_prep false
% 0.36/0.52 % --sat_fm_uc_incr true
% 0.36/0.52 % --sat_out_model small
% 0.36/0.52 % --sat_out_clauses false
% 0.36/0.52
% 0.36/0.52 % ------ QBF Options
% 0.36/0.52
% 0.36/0.52 % --qbf_mode false
% 0.36/0.52 % --qbf_elim_univ true
% 0.36/0.52 % --qbf_sk_in true
% 0.36/0.52 % --qbf_pred_elim true
% 0.36/0.52 % --qbf_split 32
% 0.36/0.52
% 0.36/0.52 % ------ BMC1 Options
% 0.36/0.52
% 0.36/0.52 % --bmc1_incremental false
% 0.36/0.52 % --bmc1_axioms reachable_all
% 0.36/0.52 % --bmc1_min_bound 0
% 0.36/0.52 % --bmc1_max_bound -1
% 0.36/0.52 % --bmc1_max_bound_default -1
% 0.36/0.52 % --bmc1_symbol_reachability true
% 0.36/0.52 % --bmc1_property_lemmas false
% 0.36/0.52 % --bmc1_k_induction false
% 0.36/0.52 % --bmc1_non_equiv_states false
% 0.36/0.52 % --bmc1_deadlock false
% 0.36/0.52 % --bmc1_ucm false
% 0.36/0.52 % --bmc1_add_unsat_core none
% 0.36/0.52 % --bmc1_unsat_core_children false
% 0.36/0.52 % --bmc1_unsat_core_extrapolate_axioms false
% 0.36/0.52 % --bmc1_out_stat full
% 0.36/0.52 % --bmc1_ground_init false
% 0.36/0.52 % --bmc1_pre_inst_next_state false
% 0.36/0.52 % --bmc1_pre_inst_state false
% 0.36/0.52 % --bmc1_pre_inst_reach_state false
% 0.36/0.52 % --bmc1_out_unsat_core false
% 0.36/0.52 % --bmc1_aig_witness_out false
% 0.36/0.52 % --bmc1_verbose false
% 0.36/0.52 % --bmc1_dump_clauses_tptp false
% 0.36/0.52 % --bmc1_dump_unsat_core_tptp false
% 0.36/0.52 % --bmc1_dump_file -
% 0.36/0.52 % --bmc1_ucm_expand_uc_limit 128
% 0.36/0.52 % --bmc1_ucm_n_expand_iterations 6
% 0.36/0.52 % --bmc1_ucm_extend_mode 1
% 0.36/0.52 % --bmc1_ucm_init_mode 2
% 0.36/0.52 % --bmc1_ucm_cone_mode none
% 0.36/0.52 % --bmc1_ucm_reduced_relation_type 0
% 0.36/0.52 % --bmc1_ucm_relax_model 4
% 0.36/0.52 % --bmc1_ucm_full_tr_after_sat true
% 0.36/0.52 % --bmc1_ucm_expand_neg_assumptions false
% 0.36/0.52 % --bmc1_ucm_layered_model none
% 0.36/0.52 % --bmc1_ucm_max_lemma_size 10
% 0.36/0.52
% 0.36/0.52 % ------ AIG Options
% 0.36/0.52
% 0.36/0.52 % --aig_mode false
% 0.36/0.52
% 0.36/0.52 % ------ Instantiation Options
% 0.36/0.52
% 0.36/0.52 % --instantiation_flag true
% 0.36/0.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.36/0.52 % --inst_solver_per_active 750
% 0.36/0.52 % --inst_solver_calls_frac 0.5
% 0.36/0.52 % --inst_passive_queue_type priority_queues
% 0.36/0.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.36/0.52 % --inst_passive_queues_freq [25;2]
% 0.36/0.52 % --inst_dismatching true
% 0.36/0.52 % --inst_eager_unprocessed_to_passive true
% 0.36/0.52 % --inst_prop_sim_given true
% 5.25/5.42 % --inst_prop_sim_new false
% 5.25/5.42 % --inst_orphan_elimination true
% 5.25/5.42 % --inst_learning_loop_flag true
% 5.25/5.42 % --inst_learning_start 3000
% 5.25/5.42 % --inst_learning_factor 2
% 5.25/5.42 % --inst_start_prop_sim_after_learn 3
% 5.25/5.42 % --inst_sel_renew solver
% 5.25/5.42 % --inst_lit_activity_flag true
% 5.25/5.42 % --inst_out_proof true
% 5.25/5.42
% 5.25/5.42 % ------ Resolution Options
% 5.25/5.42
% 5.25/5.42 % --resolution_flag true
% 5.25/5.42 % --res_lit_sel kbo_max
% 5.25/5.42 % --res_to_prop_solver none
% 5.25/5.42 % --res_prop_simpl_new false
% 5.25/5.42 % --res_prop_simpl_given false
% 5.25/5.42 % --res_passive_queue_type priority_queues
% 5.25/5.42 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.25/5.42 % --res_passive_queues_freq [15;5]
% 5.25/5.42 % --res_forward_subs full
% 5.25/5.42 % --res_backward_subs full
% 5.25/5.42 % --res_forward_subs_resolution true
% 5.25/5.42 % --res_backward_subs_resolution true
% 5.25/5.42 % --res_orphan_elimination false
% 5.25/5.42 % --res_time_limit 1000.
% 5.25/5.42 % --res_out_proof true
% 5.25/5.42 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_04e23c.s
% 5.25/5.42 % --modulo true
% 5.25/5.42
% 5.25/5.42 % ------ Combination Options
% 5.25/5.42
% 5.25/5.42 % --comb_res_mult 1000
% 5.25/5.42 % --comb_inst_mult 300
% 5.25/5.42 % ------
% 5.25/5.42
% 5.25/5.42
% 5.25/5.42
% 5.25/5.42 % ------ Proving...
% 5.25/5.42 %
% 5.25/5.42
% 5.25/5.42
% 5.25/5.42 % Resolution empty clause
% 5.25/5.42
% 5.25/5.42 % ------ Statistics
% 5.25/5.42
% 5.25/5.42 % ------ General
% 5.25/5.42
% 5.25/5.42 % num_of_input_clauses: 591
% 5.25/5.42 % num_of_input_neg_conjectures: 3
% 5.25/5.42 % num_of_splits: 0
% 5.25/5.42 % num_of_split_atoms: 0
% 5.25/5.42 % num_of_sem_filtered_clauses: 0
% 5.25/5.42 % num_of_subtypes: 0
% 5.25/5.42 % monotx_restored_types: 0
% 5.25/5.42 % sat_num_of_epr_types: 0
% 5.25/5.42 % sat_num_of_non_cyclic_types: 0
% 5.25/5.42 % sat_guarded_non_collapsed_types: 0
% 5.25/5.42 % is_epr: 0
% 5.25/5.42 % is_horn: 0
% 5.25/5.42 % has_eq: 1
% 5.25/5.42 % num_pure_diseq_elim: 0
% 5.25/5.42 % simp_replaced_by: 0
% 5.25/5.42 % res_preprocessed: 6
% 5.25/5.42 % prep_upred: 0
% 5.25/5.42 % prep_unflattend: 0
% 5.25/5.42 % pred_elim_cands: 0
% 5.25/5.42 % pred_elim: 0
% 5.25/5.42 % pred_elim_cl: 0
% 5.25/5.42 % pred_elim_cycles: 0
% 5.25/5.42 % forced_gc_time: 0
% 5.25/5.42 % gc_basic_clause_elim: 0
% 5.25/5.42 % parsing_time: 0.024
% 5.25/5.42 % sem_filter_time: 0.
% 5.25/5.42 % pred_elim_time: 0.
% 5.25/5.42 % out_proof_time: 0.002
% 5.25/5.42 % monotx_time: 0.
% 5.25/5.42 % subtype_inf_time: 0.
% 5.25/5.42 % unif_index_cands_time: 0.007
% 5.25/5.42 % unif_index_add_time: 0.01
% 5.25/5.42 % total_time: 4.971
% 5.25/5.42 % num_of_symbols: 106
% 5.25/5.42 % num_of_terms: 34368
% 5.25/5.42
% 5.25/5.42 % ------ Propositional Solver
% 5.25/5.42
% 5.25/5.42 % prop_solver_calls: 4
% 5.25/5.42 % prop_fast_solver_calls: 9
% 5.25/5.42 % prop_num_of_clauses: 2257
% 5.25/5.42 % prop_preprocess_simplified: 4311
% 5.25/5.42 % prop_fo_subsumed: 0
% 5.25/5.42 % prop_solver_time: 0.
% 5.25/5.42 % prop_fast_solver_time: 0.
% 5.25/5.42 % prop_unsat_core_time: 0.
% 5.25/5.42
% 5.25/5.42 % ------ QBF
% 5.25/5.42
% 5.25/5.42 % qbf_q_res: 0
% 5.25/5.42 % qbf_num_tautologies: 0
% 5.25/5.42 % qbf_prep_cycles: 0
% 5.25/5.42
% 5.25/5.42 % ------ BMC1
% 5.25/5.42
% 5.25/5.42 % bmc1_current_bound: -1
% 5.25/5.42 % bmc1_last_solved_bound: -1
% 5.25/5.42 % bmc1_unsat_core_size: -1
% 5.25/5.42 % bmc1_unsat_core_parents_size: -1
% 5.25/5.42 % bmc1_merge_next_fun: 0
% 5.25/5.42 % bmc1_unsat_core_clauses_time: 0.
% 5.25/5.42
% 5.25/5.42 % ------ Instantiation
% 5.25/5.42
% 5.25/5.42 % inst_num_of_clauses: 1694
% 5.25/5.42 % inst_num_in_passive: 297
% 5.25/5.42 % inst_num_in_active: 863
% 5.25/5.42 % inst_num_in_unprocessed: 515
% 5.25/5.42 % inst_num_of_loops: 900
% 5.25/5.42 % inst_num_of_learning_restarts: 0
% 5.25/5.42 % inst_num_moves_active_passive: 17
% 5.25/5.42 % inst_lit_activity: 276
% 5.25/5.42 % inst_lit_activity_moves: 0
% 5.25/5.42 % inst_num_tautologies: 19
% 5.25/5.42 % inst_num_prop_implied: 0
% 5.25/5.42 % inst_num_existing_simplified: 0
% 5.25/5.42 % inst_num_eq_res_simplified: 0
% 5.25/5.42 % inst_num_child_elim: 0
% 5.25/5.42 % inst_num_of_dismatching_blockings: 15
% 5.25/5.42 % inst_num_of_non_proper_insts: 740
% 5.25/5.42 % inst_num_of_duplicates: 1066
% 5.25/5.42 % inst_inst_num_from_inst_to_res: 0
% 5.25/5.42 % inst_dismatching_checking_time: 0.001
% 5.25/5.42
% 5.25/5.42 % ------ Resolution
% 5.25/5.42
% 5.25/5.42 % res_num_of_clauses: 9749
% 5.25/5.42 % res_num_in_passive: 6689
% 5.25/5.42 % res_num_in_active: 2654
% 5.25/5.42 % res_num_of_loops: 3150
% 5.25/5.42 % res_forward_subset_subsumed: 979
% 5.25/5.42 % res_backward_subset_subsumed: 107
% 5.25/5.42 % res_forward_subsumed: 493
% 5.25/5.42 % res_backward_subsumed: 26
% 5.25/5.42 % res_forward_subsumption_resolution: 1854
% 5.25/5.42 % res_backward_subsumption_resolution: 208
% 5.25/5.42 % res_clause_to_clause_subsumption: 18175
% 5.25/5.42 % res_orphan_elimination: 0
% 5.25/5.42 % res_tautology_del: 686
% 5.25/5.42 % res_num_eq_res_simplified: 0
% 5.25/5.42 % res_num_sel_changes: 0
% 5.25/5.42 % res_moves_from_active_to_pass: 0
% 5.25/5.42
% 5.25/5.42 % Status Unsatisfiable
% 5.25/5.42 % SZS status Theorem
% 5.25/5.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------