TSTP Solution File: GRP623+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n022.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 : Sat Jul 16 09:47:50 EDT 2022
% Result : Theorem 90.74s 90.92s
% Output : CNFRefutation 90.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
input ).
fof(t6_boole_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| A = k1_xboole_0 ),
inference(orientation,[status(thm)],[t6_boole]) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) )
=> m1_subset_1(A,C) ),
input ).
fof(t4_subset_0,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(orientation,[status(thm)],[t4_subset]) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
input ).
fof(t3_subset_0,plain,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t3_subset_1,plain,
! [A,B] :
( ~ m1_subset_1(A,k1_zfmisc_1(B))
| r1_tarski(A,B) ),
inference(orientation,[status(thm)],[t3_subset]) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( v1_xboole_0(B)
| r2_hidden(A,B) ) ),
input ).
fof(t2_subset_0,plain,
! [A,B] :
( ~ m1_subset_1(A,B)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(orientation,[status(thm)],[t2_subset]) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
input ).
fof(t1_subset_0,plain,
! [A,B] :
( ~ r2_hidden(A,B)
| m1_subset_1(A,B) ),
inference(orientation,[status(thm)],[t1_subset]) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
input ).
fof(reflexivity_r1_tarski_0,plain,
! [A] :
( r1_tarski(A,A)
| $false ),
inference(orientation,[status(thm)],[reflexivity_r1_tarski]) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
input ).
fof(redefinition_m2_relset_1_0,plain,
! [A,B,C] :
( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(redefinition_m2_relset_1_1,plain,
! [A,B,C] :
( ~ m2_relset_1(C,A,B)
| m1_relset_1(C,A,B) ),
inference(orientation,[status(thm)],[redefinition_m2_relset_1]) ).
fof(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_struct_0,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
input ).
fof(fc1_struct_0_0,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ ( ~ v3_struct_0(A)
& l1_struct_0(A) ) ),
inference(orientation,[status(thm)],[fc1_struct_0]) ).
fof(dt_u1_struct_0,axiom,
$true,
input ).
fof(dt_u1_struct_0_0,plain,
( $true
| $false ),
inference(orientation,[status(thm)],[dt_u1_struct_0]) ).
fof(dt_u1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> ( v1_funct_1(u1_group_1(A))
& v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
input ).
fof(dt_u1_group_1_0,plain,
! [A] :
( ~ l1_group_1(A)
| ( v1_funct_1(u1_group_1(A))
& v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(orientation,[status(thm)],[dt_u1_group_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_m1_fraenkel,axiom,
! [A,B,C] :
( m1_fraenkel(C,A,B)
=> ( ~ v1_xboole_0(C)
& v1_fraenkel(C) ) ),
input ).
fof(dt_m1_fraenkel_0,plain,
! [A,B,C] :
( ~ m1_fraenkel(C,A,B)
| ( ~ v1_xboole_0(C)
& v1_fraenkel(C) ) ),
inference(orientation,[status(thm)],[dt_m1_fraenkel]) ).
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_group_1,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
input ).
fof(dt_l1_group_1_0,plain,
! [A] :
( ~ l1_group_1(A)
| l1_struct_0(A) ),
inference(orientation,[status(thm)],[dt_l1_group_1]) ).
fof(dt_k4_autgroup,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ),
input ).
fof(dt_k4_autgroup_0,plain,
! [A] :
( m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A))
| ~ ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) ) ),
inference(orientation,[status(thm)],[dt_k4_autgroup]) ).
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_autgroup,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ),
input ).
fof(dt_k1_autgroup_0,plain,
! [A] :
( m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A))
| ~ ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) ) ),
inference(orientation,[status(thm)],[dt_k1_autgroup]) ).
fof(d3_tarski,axiom,
! [A,B] :
( r1_tarski(A,B)
<=> ! [C] :
( r2_hidden(C,A)
=> r2_hidden(C,B) ) ),
input ).
fof(d3_tarski_0,plain,
! [A,B] :
( r1_tarski(A,B)
| ~ ! [C] :
( r2_hidden(C,A)
=> r2_hidden(C,B) ) ),
inference(orientation,[status(thm)],[d3_tarski]) ).
fof(d3_tarski_1,plain,
! [A,B] :
( ~ r1_tarski(A,B)
| ! [C] :
( r2_hidden(C,A)
=> r2_hidden(C,B) ) ),
inference(orientation,[status(thm)],[d3_tarski]) ).
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(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_group_1,axiom,
! [A] :
( l1_group_1(A)
=> ( ( ~ v3_struct_0(A)
& v3_group_1(A) )
=> ( ~ v3_struct_0(A)
& v2_group_1(A) ) ) ),
input ).
fof(cc1_group_1_0,plain,
! [A] :
( ~ l1_group_1(A)
| ( ( ~ v3_struct_0(A)
& v3_group_1(A) )
=> ( ~ v3_struct_0(A)
& v2_group_1(A) ) ) ),
inference(orientation,[status(thm)],[cc1_group_1]) ).
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(cc1_funct_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
input ).
fof(cc1_funct_1_0,plain,
! [A] :
( ~ v1_xboole_0(A)
| v1_funct_1(A) ),
inference(orientation,[status(thm)],[cc1_funct_1]) ).
fof(cc1_fraenkel,axiom,
! [A] :
( v1_fraenkel(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_relat_1(B)
& v1_funct_1(B) ) ) ),
input ).
fof(cc1_fraenkel_0,plain,
! [A] :
( ~ v1_fraenkel(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_relat_1(B)
& v1_funct_1(B) ) ) ),
inference(orientation,[status(thm)],[cc1_fraenkel]) ).
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_v1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> ( v1_group_1(A)
=> A = g1_group_1(u1_struct_0(A),u1_group_1(A)) ) ),
input ).
fof(abstractness_v1_group_1_0,plain,
! [A] :
( ~ l1_group_1(A)
| ( v1_group_1(A)
=> A = g1_group_1(u1_struct_0(A),u1_group_1(A)) ) ),
inference(orientation,[status(thm)],[abstractness_v1_group_1]) ).
fof(def_lhs_atom1,axiom,
! [A] :
( lhs_atom1(A)
<=> ~ l1_group_1(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [A] :
( lhs_atom1(A)
| ( v1_group_1(A)
=> A = g1_group_1(u1_struct_0(A),u1_group_1(A)) ) ),
inference(fold_definition,[status(thm)],[abstractness_v1_group_1_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [B,A] :
( lhs_atom2(B,A)
<=> ~ r2_hidden(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [A,B] :
( lhs_atom2(B,A)
| ~ r2_hidden(B,A) ),
inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [A] :
( lhs_atom3(A)
<=> ~ v1_fraenkel(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [A] :
( lhs_atom3(A)
| ! [B] :
( m1_subset_1(B,A)
=> ( v1_relat_1(B)
& v1_funct_1(B) ) ) ),
inference(fold_definition,[status(thm)],[cc1_fraenkel_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [A] :
( lhs_atom4(A)
<=> ~ v1_xboole_0(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [A] :
( lhs_atom4(A)
| v1_funct_1(A) ),
inference(fold_definition,[status(thm)],[cc1_funct_1_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [C,B,A] :
( lhs_atom5(C,B,A)
<=> ~ m1_relset_1(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [A,B,C] :
( lhs_atom5(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_atom5]) ).
fof(to_be_clausified_5,plain,
! [A] :
( lhs_atom1(A)
| ( ( ~ v3_struct_0(A)
& v3_group_1(A) )
=> ( ~ v3_struct_0(A)
& v2_group_1(A) ) ) ),
inference(fold_definition,[status(thm)],[cc1_group_1_0,def_lhs_atom1]) ).
fof(def_lhs_atom6,axiom,
! [C,B,A] :
( lhs_atom6(C,B,A)
<=> ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [A,B,C] :
( lhs_atom6(C,B,A)
| v1_relat_1(C) ),
inference(fold_definition,[status(thm)],[cc1_relset_1_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [B] :
( lhs_atom7(B)
<=> v1_xboole_0(B) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [A,B] :
( lhs_atom7(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_atom7]) ).
fof(def_lhs_atom8,axiom,
! [B,A] :
( lhs_atom8(B,A)
<=> ~ r1_tarski(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [A,B] :
( lhs_atom8(B,A)
| ! [C] :
( r2_hidden(C,A)
=> r2_hidden(C,B) ) ),
inference(fold_definition,[status(thm)],[d3_tarski_1,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [B,A] :
( lhs_atom9(B,A)
<=> r1_tarski(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [A,B] :
( lhs_atom9(B,A)
| ~ ! [C] :
( r2_hidden(C,A)
=> r2_hidden(C,B) ) ),
inference(fold_definition,[status(thm)],[d3_tarski_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [A] :
( lhs_atom10(A)
<=> m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [A] :
( lhs_atom10(A)
| ~ ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) ) ),
inference(fold_definition,[status(thm)],[dt_k1_autgroup_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
( lhs_atom11
<=> $true ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom11]) ).
fof(to_be_clausified_12,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom11]) ).
fof(to_be_clausified_13,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[dt_k2_zfmisc_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [A] :
( lhs_atom12(A)
<=> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [A] :
( lhs_atom12(A)
| ~ ( ~ v3_struct_0(A)
& v1_group_1(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) ) ),
inference(fold_definition,[status(thm)],[dt_k4_autgroup_0,def_lhs_atom12]) ).
fof(to_be_clausified_15,plain,
! [A] :
( lhs_atom1(A)
| l1_struct_0(A) ),
inference(fold_definition,[status(thm)],[dt_l1_group_1_0,def_lhs_atom1]) ).
fof(to_be_clausified_16,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom13,axiom,
! [C,B,A] :
( lhs_atom13(C,B,A)
<=> ~ m1_fraenkel(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [A,B,C] :
( lhs_atom13(C,B,A)
| ( ~ v1_xboole_0(C)
& v1_fraenkel(C) ) ),
inference(fold_definition,[status(thm)],[dt_m1_fraenkel_0,def_lhs_atom13]) ).
fof(to_be_clausified_18,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_relset_1_0,def_lhs_atom11]) ).
fof(to_be_clausified_19,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom11]) ).
fof(def_lhs_atom14,axiom,
! [C,B,A] :
( lhs_atom14(C,B,A)
<=> ~ m2_relset_1(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [A,B,C] :
( lhs_atom14(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_atom14]) ).
fof(to_be_clausified_21,plain,
! [A] :
( lhs_atom1(A)
| ( v1_funct_1(u1_group_1(A))
& v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ),
inference(fold_definition,[status(thm)],[dt_u1_group_1_0,def_lhs_atom1]) ).
fof(to_be_clausified_22,plain,
( lhs_atom11
| $false ),
inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom15,axiom,
! [A] :
( lhs_atom15(A)
<=> ~ v1_xboole_0(u1_struct_0(A)) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,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,
( lhs_atom16
<=> v1_xboole_0(k1_xboole_0) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
( lhs_atom16
| $false ),
inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom16]) ).
fof(to_be_clausified_25,plain,
! [A,B,C] :
( lhs_atom14(C,B,A)
| m1_relset_1(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_1,def_lhs_atom14]) ).
fof(def_lhs_atom17,axiom,
! [C,B,A] :
( lhs_atom17(C,B,A)
<=> m2_relset_1(C,A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [A,B,C] :
( lhs_atom17(C,B,A)
| ~ m1_relset_1(C,A,B) ),
inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [A] :
( lhs_atom18(A)
<=> r1_tarski(A,A) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [A] :
( lhs_atom18(A)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom18]) ).
fof(to_be_clausified_28,plain,
! [A,B] :
( lhs_atom2(B,A)
| m1_subset_1(A,B) ),
inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom2]) ).
fof(def_lhs_atom19,axiom,
! [B,A] :
( lhs_atom19(B,A)
<=> ~ m1_subset_1(A,B) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [A,B] :
( lhs_atom19(B,A)
| v1_xboole_0(B)
| r2_hidden(A,B) ),
inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [B,A] :
( lhs_atom20(B,A)
<=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [A,B] :
( lhs_atom20(B,A)
| r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [B,A] :
( lhs_atom21(B,A)
<=> m1_subset_1(A,k1_zfmisc_1(B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [A,B] :
( lhs_atom21(B,A)
| ~ r1_tarski(A,B) ),
inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [C,A] :
( lhs_atom22(C,A)
<=> m1_subset_1(A,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [A,B,C] :
( lhs_atom22(C,A)
| ~ ( r2_hidden(A,B)
& m1_subset_1(B,k1_zfmisc_1(C)) ) ),
inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom22]) ).
fof(to_be_clausified_33,plain,
! [A] :
( lhs_atom4(A)
| A = k1_xboole_0 ),
inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom4]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X1] :
( lhs_atom7(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_7) ).
fof(c_0_1,axiom,
! [X3,X2,X1] :
( lhs_atom5(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_4) ).
fof(c_0_2,axiom,
! [X3,X2,X1] :
( lhs_atom17(X3,X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_3,axiom,
! [X3,X2,X1] :
( lhs_atom14(X3,X2,X1)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_4,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v1_funct_1(u1_group_1(X1))
& v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_5,axiom,
! [X3,X2,X1] :
( lhs_atom14(X3,X2,X1)
| m1_relset_1(X3,X1,X2) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_6,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_7,axiom,
! [X3,X2,X1] :
( lhs_atom22(X3,X1)
| ~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) ) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_8,axiom,
! [X3,X2,X1] :
( lhs_atom13(X3,X2,X1)
| ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_9,axiom,
! [X3,X2,X1] :
( lhs_atom6(X3,X2,X1)
| v1_relat_1(X3) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_10,axiom,
! [X2,X1] :
( lhs_atom8(X2,X1)
| ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_11,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v1_group_1(X1)
=> X1 = g1_group_1(u1_struct_0(X1),u1_group_1(X1)) ) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_12,axiom,
! [X1] :
( lhs_atom12(X1)
| ~ ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_13,axiom,
! [X1] :
( lhs_atom10(X1)
| ~ ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_14,axiom,
! [X2,X1] :
( lhs_atom21(X2,X1)
| ~ r1_tarski(X1,X2) ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_15,axiom,
! [X2,X1] :
( lhs_atom2(X2,X1)
| ~ r2_hidden(X2,X1) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_16,axiom,
! [X2,X1] :
( lhs_atom19(X2,X1)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_17,axiom,
! [X1] :
( lhs_atom3(X1)
| ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_18,axiom,
! [X2,X1] :
( lhs_atom20(X2,X1)
| r1_tarski(X1,X2) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_19,axiom,
! [X2,X1] :
( lhs_atom2(X2,X1)
| m1_subset_1(X1,X2) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_20,axiom,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v3_group_1(X1) )
=> ( ~ v3_struct_0(X1)
& v2_group_1(X1) ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_21,axiom,
! [X1] :
( lhs_atom15(X1)
| ~ ( ~ v3_struct_0(X1)
& l1_struct_0(X1) ) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom1(X1)
| l1_struct_0(X1) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom4(X1)
| v1_funct_1(X1) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_24,axiom,
! [X1] :
( lhs_atom4(X1)
| X1 = k1_xboole_0 ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom18(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_26,axiom,
( lhs_atom16
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_27,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_28,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_29,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_30,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_31,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_32,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_33,axiom,
( lhs_atom11
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_34,axiom,
! [X2,X1] :
( lhs_atom7(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_35,axiom,
! [X3,X2,X1] :
( lhs_atom5(X3,X2,X1)
| ( ( v1_funct_1(X3)
& v1_partfun1(X3,X1,X2) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ) ) ),
c_0_1 ).
fof(c_0_36,plain,
! [X3,X2,X1] :
( lhs_atom17(X3,X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_37,axiom,
! [X3,X2,X1] :
( lhs_atom14(X3,X2,X1)
| m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
c_0_3 ).
fof(c_0_38,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v1_funct_1(u1_group_1(X1))
& v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
c_0_4 ).
fof(c_0_39,axiom,
! [X3,X2,X1] :
( lhs_atom14(X3,X2,X1)
| m1_relset_1(X3,X1,X2) ),
c_0_5 ).
fof(c_0_40,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
c_0_6 ).
fof(c_0_41,axiom,
! [X3,X2,X1] :
( lhs_atom22(X3,X1)
| ~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) ) ),
c_0_7 ).
fof(c_0_42,plain,
! [X3,X2,X1] :
( lhs_atom13(X3,X2,X1)
| ( ~ v1_xboole_0(X3)
& v1_fraenkel(X3) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_43,axiom,
! [X3,X2,X1] :
( lhs_atom6(X3,X2,X1)
| v1_relat_1(X3) ),
c_0_9 ).
fof(c_0_44,axiom,
! [X2,X1] :
( lhs_atom8(X2,X1)
| ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
c_0_10 ).
fof(c_0_45,axiom,
! [X1] :
( lhs_atom1(X1)
| ( v1_group_1(X1)
=> X1 = g1_group_1(u1_struct_0(X1),u1_group_1(X1)) ) ),
c_0_11 ).
fof(c_0_46,plain,
! [X1] :
( lhs_atom12(X1)
| ~ ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_47,plain,
! [X1] :
( lhs_atom10(X1)
| ~ ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_48,plain,
! [X2,X1] :
( lhs_atom21(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_49,plain,
! [X2,X1] :
( lhs_atom2(X2,X1)
| ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_50,axiom,
! [X2,X1] :
( lhs_atom19(X2,X1)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
c_0_16 ).
fof(c_0_51,axiom,
! [X1] :
( lhs_atom3(X1)
| ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ) ),
c_0_17 ).
fof(c_0_52,axiom,
! [X2,X1] :
( lhs_atom20(X2,X1)
| r1_tarski(X1,X2) ),
c_0_18 ).
fof(c_0_53,axiom,
! [X2,X1] :
( lhs_atom2(X2,X1)
| m1_subset_1(X1,X2) ),
c_0_19 ).
fof(c_0_54,plain,
! [X1] :
( lhs_atom1(X1)
| ( ( ~ v3_struct_0(X1)
& v3_group_1(X1) )
=> ( ~ v3_struct_0(X1)
& v2_group_1(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_55,plain,
! [X1] :
( lhs_atom15(X1)
| ~ ( ~ v3_struct_0(X1)
& l1_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_56,axiom,
! [X1] :
( lhs_atom1(X1)
| l1_struct_0(X1) ),
c_0_22 ).
fof(c_0_57,axiom,
! [X1] :
( lhs_atom4(X1)
| v1_funct_1(X1) ),
c_0_23 ).
fof(c_0_58,axiom,
! [X1] :
( lhs_atom4(X1)
| X1 = k1_xboole_0 ),
c_0_24 ).
fof(c_0_59,plain,
! [X1] : lhs_atom18(X1),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_60,plain,
lhs_atom16,
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_61,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_62,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_63,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_64,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_65,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_66,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_67,plain,
lhs_atom11,
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_68,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_atom7(X4) )
& ( v1_partfun1(X6,X5,X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X5,X4)
| ~ m1_relset_1(X6,X5,X4)
| lhs_atom7(X4) )
& ( v1_funct_2(X6,X5,X4)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X5,X4)
| ~ m1_relset_1(X6,X5,X4)
| lhs_atom7(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_34])])])])]) ).
fof(c_0_69,plain,
! [X4,X5,X6] :
( ( v1_funct_1(X4)
| ~ v1_funct_1(X4)
| ~ v1_partfun1(X4,X6,X5)
| lhs_atom5(X4,X5,X6) )
& ( v1_funct_2(X4,X6,X5)
| ~ v1_funct_1(X4)
| ~ v1_partfun1(X4,X6,X5)
| lhs_atom5(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_70,plain,
! [X4,X5,X6] :
( lhs_atom17(X4,X5,X6)
| ~ m1_relset_1(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_71,plain,
! [X4,X5,X6] :
( lhs_atom14(X4,X5,X6)
| m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X6,X5))) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_72,plain,
! [X2] :
( ( v1_funct_1(u1_group_1(X2))
| lhs_atom1(X2) )
& ( v1_funct_2(u1_group_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom1(X2) )
& ( m2_relset_1(u1_group_1(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).
fof(c_0_73,plain,
! [X4,X5,X6] :
( lhs_atom14(X4,X5,X6)
| m1_relset_1(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_74,plain,
! [X4,X5] :
( ( r2_hidden(esk1_2(X4,X5),X5)
| lhs_atom9(X4,X5) )
& ( ~ r2_hidden(esk1_2(X4,X5),X4)
| lhs_atom9(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
fof(c_0_75,plain,
! [X4,X5,X6] :
( lhs_atom22(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_41])]) ).
fof(c_0_76,plain,
! [X4,X5,X6] :
( ( ~ v1_xboole_0(X4)
| lhs_atom13(X4,X5,X6) )
& ( v1_fraenkel(X4)
| lhs_atom13(X4,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_42])])])]) ).
fof(c_0_77,plain,
! [X4,X5,X6] :
( lhs_atom6(X4,X5,X6)
| v1_relat_1(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_43])])]) ).
fof(c_0_78,plain,
! [X4,X5,X6] :
( lhs_atom8(X4,X5)
| ~ r2_hidden(X6,X5)
| r2_hidden(X6,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_79,plain,
! [X2] :
( lhs_atom1(X2)
| ~ v1_group_1(X2)
| X2 = g1_group_1(u1_struct_0(X2),u1_group_1(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).
fof(c_0_80,plain,
! [X2] :
( lhs_atom12(X2)
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_81,plain,
! [X2] :
( lhs_atom10(X2)
| v3_struct_0(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_82,plain,
! [X3,X4] :
( lhs_atom21(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_83,plain,
! [X3,X4] :
( lhs_atom2(X3,X4)
| ~ r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_84,plain,
! [X3,X4] :
( lhs_atom19(X3,X4)
| v1_xboole_0(X3)
| r2_hidden(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_50]) ).
fof(c_0_85,plain,
! [X3,X4] :
( ( v1_relat_1(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom3(X3) )
& ( v1_funct_1(X4)
| ~ m1_subset_1(X4,X3)
| lhs_atom3(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
fof(c_0_86,plain,
! [X3,X4] :
( lhs_atom20(X3,X4)
| r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_87,plain,
! [X3,X4] :
( lhs_atom2(X3,X4)
| m1_subset_1(X4,X3) ),
inference(variable_rename,[status(thm)],[c_0_53]) ).
fof(c_0_88,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| lhs_atom1(X2) )
& ( v2_group_1(X2)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| lhs_atom1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_89,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_55])]) ).
fof(c_0_90,plain,
! [X2] :
( lhs_atom1(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_91,plain,
! [X2] :
( lhs_atom4(X2)
| v1_funct_1(X2) ),
inference(variable_rename,[status(thm)],[c_0_57]) ).
fof(c_0_92,plain,
! [X2] :
( lhs_atom4(X2)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[c_0_58]) ).
fof(c_0_93,plain,
! [X2] : lhs_atom18(X2),
inference(variable_rename,[status(thm)],[c_0_59]) ).
fof(c_0_94,plain,
lhs_atom16,
c_0_60 ).
fof(c_0_95,plain,
lhs_atom11,
c_0_61 ).
fof(c_0_96,plain,
lhs_atom11,
c_0_62 ).
fof(c_0_97,plain,
lhs_atom11,
c_0_63 ).
fof(c_0_98,plain,
lhs_atom11,
c_0_64 ).
fof(c_0_99,plain,
lhs_atom11,
c_0_65 ).
fof(c_0_100,plain,
lhs_atom11,
c_0_66 ).
fof(c_0_101,plain,
lhs_atom11,
c_0_67 ).
cnf(c_0_102,plain,
( lhs_atom7(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_68]) ).
cnf(c_0_103,plain,
( lhs_atom7(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_68]) ).
cnf(c_0_104,plain,
( lhs_atom5(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_69]) ).
cnf(c_0_105,plain,
( lhs_atom7(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_68]) ).
cnf(c_0_106,plain,
( lhs_atom5(X1,X2,X3)
| v1_funct_1(X1)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_107,plain,
( lhs_atom17(X1,X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_108,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| lhs_atom14(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_109,plain,
( lhs_atom1(X1)
| v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_110,plain,
( lhs_atom1(X1)
| m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_111,plain,
( m1_relset_1(X1,X2,X3)
| lhs_atom14(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_112,plain,
( lhs_atom9(X1,X2)
| ~ r2_hidden(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_113,plain,
( lhs_atom22(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_114,plain,
( lhs_atom13(X1,X2,X3)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_115,plain,
( lhs_atom13(X1,X2,X3)
| v1_fraenkel(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_116,plain,
( v1_relat_1(X1)
| lhs_atom6(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_117,plain,
( lhs_atom9(X1,X2)
| r2_hidden(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_118,plain,
( r2_hidden(X1,X2)
| lhs_atom8(X2,X3)
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_119,plain,
( X1 = g1_group_1(u1_struct_0(X1),u1_group_1(X1))
| lhs_atom1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_120,plain,
( v3_struct_0(X1)
| lhs_atom12(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_121,plain,
( v3_struct_0(X1)
| lhs_atom10(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_122,plain,
( lhs_atom21(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_123,plain,
( lhs_atom2(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_124,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom19(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_125,plain,
( lhs_atom3(X1)
| v1_relat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_126,plain,
( lhs_atom3(X1)
| v1_funct_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_127,plain,
( r1_tarski(X1,X2)
| lhs_atom20(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_128,plain,
( m1_subset_1(X1,X2)
| lhs_atom2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_129,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_130,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v2_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_131,plain,
( v3_struct_0(X1)
| lhs_atom15(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_132,plain,
( lhs_atom1(X1)
| v1_funct_1(u1_group_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_133,plain,
( l1_struct_0(X1)
| lhs_atom1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_134,plain,
( v1_funct_1(X1)
| lhs_atom4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_135,plain,
( X1 = k1_xboole_0
| lhs_atom4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_136,plain,
lhs_atom18(X1),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_137,plain,
lhs_atom16,
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_138,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_139,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_140,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_141,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_142,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_143,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_144,plain,
lhs_atom11,
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_145,plain,
( lhs_atom7(X1)
| v1_partfun1(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
c_0_102,
[final] ).
cnf(c_0_146,plain,
( lhs_atom7(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_103,
[final] ).
cnf(c_0_147,plain,
( lhs_atom5(X1,X2,X3)
| v1_funct_2(X1,X3,X2)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
c_0_104,
[final] ).
cnf(c_0_148,plain,
( lhs_atom7(X1)
| v1_funct_1(X2)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2) ),
c_0_105,
[final] ).
cnf(c_0_149,plain,
( lhs_atom5(X1,X2,X3)
| v1_funct_1(X1)
| ~ v1_partfun1(X1,X3,X2)
| ~ v1_funct_1(X1) ),
c_0_106,
[final] ).
cnf(c_0_150,plain,
( lhs_atom17(X1,X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
c_0_107,
[final] ).
cnf(c_0_151,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| lhs_atom14(X1,X3,X2) ),
c_0_108,
[final] ).
cnf(c_0_152,plain,
( lhs_atom1(X1)
| v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_109,
[final] ).
cnf(c_0_153,plain,
( lhs_atom1(X1)
| m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
c_0_110,
[final] ).
cnf(c_0_154,plain,
( m1_relset_1(X1,X2,X3)
| lhs_atom14(X1,X3,X2) ),
c_0_111,
[final] ).
cnf(c_0_155,plain,
( lhs_atom9(X1,X2)
| ~ r2_hidden(esk1_2(X1,X2),X1) ),
c_0_112,
[final] ).
cnf(c_0_156,plain,
( lhs_atom22(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,X1) ),
c_0_113,
[final] ).
cnf(c_0_157,plain,
( lhs_atom13(X1,X2,X3)
| ~ v1_xboole_0(X1) ),
c_0_114,
[final] ).
cnf(c_0_158,plain,
( lhs_atom13(X1,X2,X3)
| v1_fraenkel(X1) ),
c_0_115,
[final] ).
cnf(c_0_159,plain,
( v1_relat_1(X1)
| lhs_atom6(X1,X2,X3) ),
c_0_116,
[final] ).
cnf(c_0_160,plain,
( lhs_atom9(X1,X2)
| r2_hidden(esk1_2(X1,X2),X2) ),
c_0_117,
[final] ).
cnf(c_0_161,plain,
( r2_hidden(X1,X2)
| lhs_atom8(X2,X3)
| ~ r2_hidden(X1,X3) ),
c_0_118,
[final] ).
cnf(c_0_162,plain,
( g1_group_1(u1_struct_0(X1),u1_group_1(X1)) = X1
| lhs_atom1(X1)
| ~ v1_group_1(X1) ),
c_0_119,
[final] ).
cnf(c_0_163,plain,
( v3_struct_0(X1)
| lhs_atom12(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
c_0_120,
[final] ).
cnf(c_0_164,plain,
( v3_struct_0(X1)
| lhs_atom10(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
c_0_121,
[final] ).
cnf(c_0_165,plain,
( lhs_atom21(X2,X1)
| ~ r1_tarski(X1,X2) ),
c_0_122,
[final] ).
cnf(c_0_166,plain,
( lhs_atom2(X1,X2)
| ~ r2_hidden(X1,X2) ),
c_0_123,
[final] ).
cnf(c_0_167,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| lhs_atom19(X2,X1) ),
c_0_124,
[final] ).
cnf(c_0_168,plain,
( lhs_atom3(X1)
| v1_relat_1(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_125,
[final] ).
cnf(c_0_169,plain,
( lhs_atom3(X1)
| v1_funct_1(X2)
| ~ m1_subset_1(X2,X1) ),
c_0_126,
[final] ).
cnf(c_0_170,plain,
( r1_tarski(X1,X2)
| lhs_atom20(X2,X1) ),
c_0_127,
[final] ).
cnf(c_0_171,plain,
( m1_subset_1(X1,X2)
| lhs_atom2(X2,X1) ),
c_0_128,
[final] ).
cnf(c_0_172,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(X1) ),
c_0_129,
[final] ).
cnf(c_0_173,plain,
( lhs_atom1(X1)
| v3_struct_0(X1)
| v2_group_1(X1)
| ~ v3_group_1(X1) ),
c_0_130,
[final] ).
cnf(c_0_174,plain,
( v3_struct_0(X1)
| lhs_atom15(X1)
| ~ l1_struct_0(X1) ),
c_0_131,
[final] ).
cnf(c_0_175,plain,
( lhs_atom1(X1)
| v1_funct_1(u1_group_1(X1)) ),
c_0_132,
[final] ).
cnf(c_0_176,plain,
( l1_struct_0(X1)
| lhs_atom1(X1) ),
c_0_133,
[final] ).
cnf(c_0_177,plain,
( v1_funct_1(X1)
| lhs_atom4(X1) ),
c_0_134,
[final] ).
cnf(c_0_178,plain,
( X1 = k1_xboole_0
| lhs_atom4(X1) ),
c_0_135,
[final] ).
cnf(c_0_179,plain,
lhs_atom18(X1),
c_0_136,
[final] ).
cnf(c_0_180,plain,
lhs_atom16,
c_0_137,
[final] ).
cnf(c_0_181,plain,
lhs_atom11,
c_0_138,
[final] ).
cnf(c_0_182,plain,
lhs_atom11,
c_0_139,
[final] ).
cnf(c_0_183,plain,
lhs_atom11,
c_0_140,
[final] ).
cnf(c_0_184,plain,
lhs_atom11,
c_0_141,
[final] ).
cnf(c_0_185,plain,
lhs_atom11,
c_0_142,
[final] ).
cnf(c_0_186,plain,
lhs_atom11,
c_0_143,
[final] ).
cnf(c_0_187,plain,
lhs_atom11,
c_0_144,
[final] ).
% End CNF derivation
cnf(c_0_145_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_145,def_lhs_atom7]) ).
cnf(c_0_146_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_146,def_lhs_atom7]) ).
cnf(c_0_147_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_147,def_lhs_atom5]) ).
cnf(c_0_148_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_148,def_lhs_atom7]) ).
cnf(c_0_149_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_149,def_lhs_atom5]) ).
cnf(c_0_150_0,axiom,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom17]) ).
cnf(c_0_151_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_151,def_lhs_atom14]) ).
cnf(c_0_152_0,axiom,
( ~ l1_group_1(X1)
| v1_funct_2(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom1]) ).
cnf(c_0_153_0,axiom,
( ~ l1_group_1(X1)
| m2_relset_1(u1_group_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom1]) ).
cnf(c_0_154_0,axiom,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom14]) ).
cnf(c_0_155_0,axiom,
( r1_tarski(X2,X1)
| ~ r2_hidden(sk1_esk1_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom9]) ).
cnf(c_0_156_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_156,def_lhs_atom22]) ).
cnf(c_0_157_0,axiom,
( ~ m1_fraenkel(X1,X3,X2)
| ~ v1_xboole_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom13]) ).
cnf(c_0_158_0,axiom,
( ~ m1_fraenkel(X1,X3,X2)
| v1_fraenkel(X1) ),
inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom13]) ).
cnf(c_0_159_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_159,def_lhs_atom6]) ).
cnf(c_0_160_0,axiom,
( r1_tarski(X2,X1)
| r2_hidden(sk1_esk1_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom9]) ).
cnf(c_0_161_0,axiom,
( ~ r1_tarski(X3,X2)
| r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom8]) ).
cnf(c_0_162_0,axiom,
( ~ l1_group_1(X1)
| g1_group_1(u1_struct_0(X1),u1_group_1(X1)) = X1
| ~ v1_group_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom1]) ).
cnf(c_0_163_0,axiom,
( m1_fraenkel(k4_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom12]) ).
cnf(c_0_164_0,axiom,
( m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom10]) ).
cnf(c_0_165_0,axiom,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom21]) ).
cnf(c_0_166_0,axiom,
( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom2]) ).
cnf(c_0_167_0,axiom,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom19]) ).
cnf(c_0_168_0,axiom,
( ~ v1_fraenkel(X1)
| v1_relat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom3]) ).
cnf(c_0_169_0,axiom,
( ~ v1_fraenkel(X1)
| v1_funct_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom3]) ).
cnf(c_0_170_0,axiom,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_170,def_lhs_atom20]) ).
cnf(c_0_171_0,axiom,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_171,def_lhs_atom2]) ).
cnf(c_0_172_0,axiom,
( ~ l1_group_1(X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_172,def_lhs_atom1]) ).
cnf(c_0_173_0,axiom,
( ~ l1_group_1(X1)
| v3_struct_0(X1)
| v2_group_1(X1)
| ~ v3_group_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom1]) ).
cnf(c_0_174_0,axiom,
( ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom15]) ).
cnf(c_0_175_0,axiom,
( ~ l1_group_1(X1)
| v1_funct_1(u1_group_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom1]) ).
cnf(c_0_176_0,axiom,
( ~ l1_group_1(X1)
| l1_struct_0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom1]) ).
cnf(c_0_177_0,axiom,
( ~ v1_xboole_0(X1)
| v1_funct_1(X1) ),
inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom4]) ).
cnf(c_0_178_0,axiom,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom4]) ).
cnf(c_0_179_0,axiom,
r1_tarski(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom18]) ).
cnf(c_0_180_0,axiom,
v1_xboole_0(k1_xboole_0),
inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom16]) ).
cnf(c_0_181_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom11]) ).
cnf(c_0_182_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom11]) ).
cnf(c_0_183_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom11]) ).
cnf(c_0_184_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom11]) ).
cnf(c_0_185_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom11]) ).
cnf(c_0_186_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom11]) ).
cnf(c_0_187_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom11]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
file('<stdin>',t13_autgroup) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
file('<stdin>',dt_m2_fraenkel) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
file('<stdin>',redefinition_m2_fraenkel) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ? [X4] : m2_fraenkel(X4,X1,X2,X3) ),
file('<stdin>',existence_m2_fraenkel) ).
fof(c_0_4_005,axiom,
! [X1,X2] :
( ( ~ 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) )
=> ( ~ v3_struct_0(g1_group_1(X1,X2))
& v1_group_1(g1_group_1(X1,X2)) ) ),
file('<stdin>',fc1_group_1) ).
fof(c_0_5_006,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ! [X3,X4] :
( g1_group_1(X1,X2) = g1_group_1(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('<stdin>',free_g1_group_1) ).
fof(c_0_6_007,axiom,
! [X1,X2] :
( ( 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_group_1(g1_group_1(X1,X2))
& l1_group_1(g1_group_1(X1,X2)) ) ),
file('<stdin>',dt_g1_group_1) ).
fof(c_0_7_008,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_8_009,axiom,
! [X1,X2] :
? [X3] : m1_fraenkel(X3,X1,X2),
file('<stdin>',existence_m1_fraenkel) ).
fof(c_0_9_010,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
file('<stdin>',existence_m1_relset_1) ).
fof(c_0_10_011,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
file('<stdin>',existence_m2_relset_1) ).
fof(c_0_11_012,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_12_013,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_13_014,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_14_015,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_15_016,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('<stdin>',t7_boole) ).
fof(c_0_16_017,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ) ),
file('<stdin>',cc2_funct_1) ).
fof(c_0_17_018,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('<stdin>',existence_m1_subset_1) ).
fof(c_0_18_019,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('<stdin>',t8_boole) ).
fof(c_0_19_020,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_fraenkel(X1) ),
file('<stdin>',rc1_fraenkel) ).
fof(c_0_20_021,axiom,
? [X1] :
( l1_group_1(X1)
& ~ v3_struct_0(X1)
& v1_group_1(X1) ),
file('<stdin>',rc2_group_1) ).
fof(c_0_21_022,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('<stdin>',rc2_xboole_0) ).
fof(c_0_22_023,axiom,
? [X1] :
( l1_group_1(X1)
& ~ v3_struct_0(X1)
& v1_group_1(X1)
& v2_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1) ),
file('<stdin>',rc3_group_1) ).
fof(c_0_23_024,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('<stdin>',rc3_struct_0) ).
fof(c_0_24_025,axiom,
? [X1] : l1_group_1(X1),
file('<stdin>',existence_l1_group_1) ).
fof(c_0_25_026,axiom,
? [X1] : l1_struct_0(X1),
file('<stdin>',existence_l1_struct_0) ).
fof(c_0_26_027,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1) ),
file('<stdin>',rc1_funct_1) ).
fof(c_0_27_028,axiom,
? [X1] :
( l1_group_1(X1)
& v1_group_1(X1) ),
file('<stdin>',rc1_group_1) ).
fof(c_0_28_029,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1)
& v1_xboole_0(X1) ),
file('<stdin>',rc1_partfun1) ).
fof(c_0_29_030,axiom,
? [X1] : v1_xboole_0(X1),
file('<stdin>',rc1_xboole_0) ).
fof(c_0_30_031,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) ),
file('<stdin>',rc2_funct_1) ).
fof(c_0_31_032,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ),
file('<stdin>',rc3_funct_1) ).
fof(c_0_32_033,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
=> m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_33_034,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
=> ( v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m2_relset_1(X4,X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_34_035,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ! [X4] :
( m2_fraenkel(X4,X1,X2,X3)
<=> m1_subset_1(X4,X3) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_35_036,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X3,X1,X2) )
=> ? [X4] : m2_fraenkel(X4,X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_36_037,plain,
! [X1,X2] :
( ( ~ 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) )
=> ( ~ v3_struct_0(g1_group_1(X1,X2))
& v1_group_1(g1_group_1(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_37_038,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ! [X3,X4] :
( g1_group_1(X1,X2) = g1_group_1(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
c_0_5 ).
fof(c_0_38_039,axiom,
! [X1,X2] :
( ( 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_group_1(g1_group_1(X1,X2))
& l1_group_1(g1_group_1(X1,X2)) ) ),
c_0_6 ).
fof(c_0_39_040,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_7]) ).
fof(c_0_40_041,axiom,
! [X1,X2] :
? [X3] : m1_fraenkel(X3,X1,X2),
c_0_8 ).
fof(c_0_41_042,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
c_0_9 ).
fof(c_0_42_043,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
c_0_10 ).
fof(c_0_43_044,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_11 ).
fof(c_0_44_045,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3) ),
c_0_12 ).
fof(c_0_45_046,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
c_0_13 ).
fof(c_0_46_047,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_14]) ).
fof(c_0_47_048,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
c_0_15 ).
fof(c_0_48_049,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ) ),
c_0_16 ).
fof(c_0_49_050,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
c_0_17 ).
fof(c_0_50_051,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
c_0_18 ).
fof(c_0_51_052,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_fraenkel(X1) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_52_053,plain,
? [X1] :
( l1_group_1(X1)
& ~ v3_struct_0(X1)
& v1_group_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_53_054,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_54_055,plain,
? [X1] :
( l1_group_1(X1)
& ~ v3_struct_0(X1)
& v1_group_1(X1)
& v2_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_55_056,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_56_057,axiom,
? [X1] : l1_group_1(X1),
c_0_24 ).
fof(c_0_57_058,axiom,
? [X1] : l1_struct_0(X1),
c_0_25 ).
fof(c_0_58_059,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1) ),
c_0_26 ).
fof(c_0_59_060,axiom,
? [X1] :
( l1_group_1(X1)
& v1_group_1(X1) ),
c_0_27 ).
fof(c_0_60_061,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1)
& v1_xboole_0(X1) ),
c_0_28 ).
fof(c_0_61_062,axiom,
? [X1] : v1_xboole_0(X1),
c_0_29 ).
fof(c_0_62_063,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) ),
c_0_30 ).
fof(c_0_63_064,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ),
c_0_31 ).
fof(c_0_64_065,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v1_group_1(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k4_autgroup(X3))
| m2_fraenkel(X4,u1_struct_0(X3),u1_struct_0(X3),k1_autgroup(X3)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_65_066,plain,
! [X5,X6,X7,X8] :
( ( v1_funct_1(X8)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( v1_funct_2(X8,X5,X6)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( m2_relset_1(X8,X5,X6)
| ~ m2_fraenkel(X8,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_66_067,plain,
! [X5,X6,X7,X8,X9] :
( ( ~ m2_fraenkel(X8,X5,X6,X7)
| m1_subset_1(X8,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) )
& ( ~ m1_subset_1(X9,X7)
| m2_fraenkel(X9,X5,X6,X7)
| v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6) ) ),
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_34])])])])]) ).
fof(c_0_67_068,plain,
! [X5,X6,X7] :
( v1_xboole_0(X6)
| ~ m1_fraenkel(X7,X5,X6)
| m2_fraenkel(esk16_3(X5,X6,X7),X5,X6,X7) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_68_069,plain,
! [X3,X4] :
( ( ~ v3_struct_0(g1_group_1(X3,X4))
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) )
& ( v1_group_1(g1_group_1(X3,X4))
| v1_xboole_0(X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_69_070,plain,
! [X5,X6,X7,X8] :
( ( X5 = X7
| g1_group_1(X5,X6) != g1_group_1(X7,X8)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X5,X5),X5)
| ~ m1_relset_1(X6,k2_zfmisc_1(X5,X5),X5) )
& ( X6 = X8
| g1_group_1(X5,X6) != g1_group_1(X7,X8)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X5,X5),X5)
| ~ m1_relset_1(X6,k2_zfmisc_1(X5,X5),X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
fof(c_0_70_071,plain,
! [X3,X4] :
( ( v1_group_1(g1_group_1(X3,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) )
& ( l1_group_1(g1_group_1(X3,X4))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_71_072,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_39])])])]) ).
fof(c_0_72_073,plain,
! [X4,X5] : m1_fraenkel(esk19_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).
fof(c_0_73_074,plain,
! [X4,X5] : m1_relset_1(esk18_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).
fof(c_0_74_075,plain,
! [X4,X5] : m2_relset_1(esk15_2(X4,X5),X4,X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
fof(c_0_75_076,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))
& v1_funct_2(esk12_2(X4,X5),X4,X5) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_43])]) ).
fof(c_0_76_077,plain,
! [X4,X5] :
( m1_relset_1(esk6_2(X4,X5),X4,X5)
& v1_relat_1(esk6_2(X4,X5))
& v1_funct_1(esk6_2(X4,X5)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_44])]) ).
fof(c_0_77_078,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_45])])])]) ).
fof(c_0_78_079,plain,
! [X3] :
( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) )
& ( ~ v1_xboole_0(esk1_1(X3))
| v3_struct_0(X3)
| ~ l1_struct_0(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
fof(c_0_79_080,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
fof(c_0_80_081,plain,
! [X2] :
( ( v1_relat_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2) )
& ( v1_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2) )
& ( v2_funct_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
fof(c_0_81_082,plain,
! [X3] : m1_subset_1(esk17_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_49])]) ).
fof(c_0_82_083,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_50])])])]) ).
fof(c_0_83_084,plain,
( ~ v1_xboole_0(esk14_0)
& v1_fraenkel(esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_51])]) ).
fof(c_0_84_085,plain,
( l1_group_1(esk7_0)
& ~ v3_struct_0(esk7_0)
& v1_group_1(esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_52])]) ).
fof(c_0_85_086,plain,
~ v1_xboole_0(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_53])]) ).
fof(c_0_86_087,plain,
( l1_group_1(esk3_0)
& ~ v3_struct_0(esk3_0)
& v1_group_1(esk3_0)
& v2_group_1(esk3_0)
& v3_group_1(esk3_0)
& v4_group_1(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_54])]) ).
fof(c_0_87_088,plain,
( l1_struct_0(esk2_0)
& ~ v3_struct_0(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_55])]) ).
fof(c_0_88_089,plain,
l1_group_1(esk21_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_56])]) ).
fof(c_0_89_090,plain,
l1_struct_0(esk20_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_57])]) ).
fof(c_0_90_091,plain,
( v1_relat_1(esk13_0)
& v1_funct_1(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_58])]) ).
fof(c_0_91_092,plain,
( l1_group_1(esk11_0)
& v1_group_1(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_59])]) ).
fof(c_0_92_093,plain,
( v1_relat_1(esk10_0)
& v1_funct_1(esk10_0)
& v2_funct_1(esk10_0)
& v1_xboole_0(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_60])]) ).
fof(c_0_93_094,plain,
v1_xboole_0(esk9_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_61])]) ).
fof(c_0_94_095,plain,
( v1_relat_1(esk8_0)
& v1_xboole_0(esk8_0)
& v1_funct_1(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_62])]) ).
fof(c_0_95_096,plain,
( v1_relat_1(esk4_0)
& v1_funct_1(esk4_0)
& v2_funct_1(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_63])]) ).
cnf(c_0_96_097,plain,
( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_97_098,plain,
( v1_xboole_0(X3)
| v1_funct_2(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_98_099,plain,
( v1_xboole_0(X3)
| m2_relset_1(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_99_100,plain,
( v1_xboole_0(X3)
| m1_subset_1(X4,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100_101,plain,
( v1_xboole_0(X3)
| v1_funct_1(X4)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_101_102,plain,
( m2_fraenkel(esk16_3(X1,X2,X3),X1,X2,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_102_103,plain,
( v1_xboole_0(X3)
| m2_fraenkel(X4,X2,X3,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_103_104,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)
| ~ v3_struct_0(g1_group_1(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_104_105,plain,
( X2 = X3
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_105_106,plain,
( X1 = 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)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_106_107,plain,
( v1_xboole_0(X2)
| v1_group_1(g1_group_1(X2,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) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_107_108,plain,
( v1_group_1(g1_group_1(X2,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) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_108_109,plain,
( l1_group_1(g1_group_1(X2,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) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_109_110,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_71]) ).
cnf(c_0_110_111,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_71]) ).
cnf(c_0_111_112,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_71]) ).
cnf(c_0_112_113,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_71]) ).
cnf(c_0_113_114,plain,
m1_fraenkel(esk19_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_114_115,plain,
m1_relset_1(esk18_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_115_116,plain,
m2_relset_1(esk15_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_116_117,plain,
m1_relset_1(esk12_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_117_118,plain,
v1_funct_2(esk12_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_118_119,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_119_120,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_120_121,plain,
( v3_struct_0(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_121_122,plain,
v1_relat_1(esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_122_123,plain,
v1_funct_1(esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_123_124,plain,
v1_relat_1(esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_124_125,plain,
v1_funct_1(esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_125_126,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_126_127,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_127_128,plain,
( v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_128_129,plain,
( v1_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_129_130,plain,
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_130_131,plain,
m1_subset_1(esk17_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_131_132,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_132_133,plain,
~ v1_xboole_0(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_133_134,plain,
~ v3_struct_0(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_134_135,plain,
~ v1_xboole_0(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_135_136,plain,
~ v3_struct_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_136_137,plain,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_137_138,plain,
l1_group_1(esk21_0),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_138_139,plain,
l1_struct_0(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_139_140,plain,
v1_fraenkel(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_140_141,plain,
v1_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_141_142,plain,
v1_funct_1(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_142_143,plain,
l1_group_1(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_143_144,plain,
v1_group_1(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_144_145,plain,
v1_relat_1(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_145_146,plain,
v1_funct_1(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_146_147,plain,
v2_funct_1(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_147_148,plain,
v1_xboole_0(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_148_149,plain,
v1_xboole_0(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_149_150,plain,
v1_relat_1(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_150_151,plain,
v1_xboole_0(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_151_152,plain,
v1_funct_1(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_152_153,plain,
l1_group_1(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_153_154,plain,
v1_group_1(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_154_155,plain,
v1_relat_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_155_156,plain,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_156_157,plain,
v2_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_157_158,plain,
l1_group_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_158_159,plain,
v1_group_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_159_160,plain,
v2_group_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_160_161,plain,
v3_group_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_161_162,plain,
v4_group_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_162_163,plain,
l1_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_163_164,plain,
( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
c_0_96,
[final] ).
cnf(c_0_164_165,plain,
( v1_xboole_0(X3)
| v1_funct_2(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
c_0_97,
[final] ).
cnf(c_0_165_166,plain,
( v1_xboole_0(X3)
| m2_relset_1(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
c_0_98,
[final] ).
cnf(c_0_166_167,plain,
( v1_xboole_0(X3)
| m1_subset_1(X4,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
c_0_99,
[final] ).
cnf(c_0_167_168,plain,
( v1_xboole_0(X3)
| v1_funct_1(X4)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
c_0_100,
[final] ).
cnf(c_0_168_169,plain,
( m2_fraenkel(esk16_3(X1,X2,X3),X1,X2,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
c_0_101,
[final] ).
cnf(c_0_169_170,plain,
( v1_xboole_0(X3)
| m2_fraenkel(X4,X2,X3,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X4,X1) ),
c_0_102,
[final] ).
cnf(c_0_170_171,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)
| ~ v3_struct_0(g1_group_1(X2,X1)) ),
c_0_103,
[final] ).
cnf(c_0_171_172,plain,
( X2 = X3
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
c_0_104,
[final] ).
cnf(c_0_172_173,plain,
( X1 = 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)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
c_0_105,
[final] ).
cnf(c_0_173_174,plain,
( v1_xboole_0(X2)
| v1_group_1(g1_group_1(X2,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) ),
c_0_106,
[final] ).
cnf(c_0_174_175,plain,
( v1_group_1(g1_group_1(X2,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) ),
c_0_107,
[final] ).
cnf(c_0_175_176,plain,
( l1_group_1(g1_group_1(X2,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) ),
c_0_108,
[final] ).
cnf(c_0_176_177,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_109,
[final] ).
cnf(c_0_177_178,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_110,
[final] ).
cnf(c_0_178_179,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_111,
[final] ).
cnf(c_0_179_180,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_112,
[final] ).
cnf(c_0_180_181,plain,
m1_fraenkel(esk19_2(X1,X2),X1,X2),
c_0_113,
[final] ).
cnf(c_0_181_182,plain,
m1_relset_1(esk18_2(X1,X2),X1,X2),
c_0_114,
[final] ).
cnf(c_0_182_183,plain,
m2_relset_1(esk15_2(X1,X2),X1,X2),
c_0_115,
[final] ).
cnf(c_0_183_184,plain,
m1_relset_1(esk12_2(X1,X2),X1,X2),
c_0_116,
[final] ).
cnf(c_0_184_185,plain,
v1_funct_2(esk12_2(X1,X2),X1,X2),
c_0_117,
[final] ).
cnf(c_0_185_186,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
c_0_118,
[final] ).
cnf(c_0_186_187,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
c_0_119,
[final] ).
cnf(c_0_187_188,plain,
( v3_struct_0(X1)
| m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
c_0_120,
[final] ).
cnf(c_0_188,plain,
v1_relat_1(esk12_2(X1,X2)),
c_0_121,
[final] ).
cnf(c_0_189,plain,
v1_funct_1(esk12_2(X1,X2)),
c_0_122,
[final] ).
cnf(c_0_190,plain,
v1_relat_1(esk6_2(X1,X2)),
c_0_123,
[final] ).
cnf(c_0_191,plain,
v1_funct_1(esk6_2(X1,X2)),
c_0_124,
[final] ).
cnf(c_0_192,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
c_0_125,
[final] ).
cnf(c_0_193,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(esk1_1(X1)) ),
c_0_126,
[final] ).
cnf(c_0_194,plain,
( v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
c_0_127,
[final] ).
cnf(c_0_195,plain,
( v1_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
c_0_128,
[final] ).
cnf(c_0_196,plain,
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
c_0_129,
[final] ).
cnf(c_0_197,plain,
m1_subset_1(esk17_1(X1),X1),
c_0_130,
[final] ).
cnf(c_0_198,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
c_0_131,
[final] ).
cnf(c_0_199,plain,
~ v1_xboole_0(esk14_0),
c_0_132,
[final] ).
cnf(c_0_200,plain,
~ v3_struct_0(esk7_0),
c_0_133,
[final] ).
cnf(c_0_201,plain,
~ v1_xboole_0(esk5_0),
c_0_134,
[final] ).
cnf(c_0_202,plain,
~ v3_struct_0(esk3_0),
c_0_135,
[final] ).
cnf(c_0_203,plain,
~ v3_struct_0(esk2_0),
c_0_136,
[final] ).
cnf(c_0_204,plain,
l1_group_1(esk21_0),
c_0_137,
[final] ).
cnf(c_0_205,plain,
l1_struct_0(esk20_0),
c_0_138,
[final] ).
cnf(c_0_206,plain,
v1_fraenkel(esk14_0),
c_0_139,
[final] ).
cnf(c_0_207,plain,
v1_relat_1(esk13_0),
c_0_140,
[final] ).
cnf(c_0_208,plain,
v1_funct_1(esk13_0),
c_0_141,
[final] ).
cnf(c_0_209,plain,
l1_group_1(esk11_0),
c_0_142,
[final] ).
cnf(c_0_210,plain,
v1_group_1(esk11_0),
c_0_143,
[final] ).
cnf(c_0_211,plain,
v1_relat_1(esk10_0),
c_0_144,
[final] ).
cnf(c_0_212,plain,
v1_funct_1(esk10_0),
c_0_145,
[final] ).
cnf(c_0_213,plain,
v2_funct_1(esk10_0),
c_0_146,
[final] ).
cnf(c_0_214,plain,
v1_xboole_0(esk10_0),
c_0_147,
[final] ).
cnf(c_0_215,plain,
v1_xboole_0(esk9_0),
c_0_148,
[final] ).
cnf(c_0_216,plain,
v1_relat_1(esk8_0),
c_0_149,
[final] ).
cnf(c_0_217,plain,
v1_xboole_0(esk8_0),
c_0_150,
[final] ).
cnf(c_0_218,plain,
v1_funct_1(esk8_0),
c_0_151,
[final] ).
cnf(c_0_219,plain,
l1_group_1(esk7_0),
c_0_152,
[final] ).
cnf(c_0_220,plain,
v1_group_1(esk7_0),
c_0_153,
[final] ).
cnf(c_0_221,plain,
v1_relat_1(esk4_0),
c_0_154,
[final] ).
cnf(c_0_222,plain,
v1_funct_1(esk4_0),
c_0_155,
[final] ).
cnf(c_0_223,plain,
v2_funct_1(esk4_0),
c_0_156,
[final] ).
cnf(c_0_224,plain,
l1_group_1(esk3_0),
c_0_157,
[final] ).
cnf(c_0_225,plain,
v1_group_1(esk3_0),
c_0_158,
[final] ).
cnf(c_0_226,plain,
v2_group_1(esk3_0),
c_0_159,
[final] ).
cnf(c_0_227,plain,
v3_group_1(esk3_0),
c_0_160,
[final] ).
cnf(c_0_228,plain,
v4_group_1(esk3_0),
c_0_161,
[final] ).
cnf(c_0_229,plain,
l1_struct_0(esk2_0),
c_0_162,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_163_1,axiom,
( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| v3_struct_0(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_2,axiom,
( v3_struct_0(X2)
| m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_3,axiom,
( ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| v3_struct_0(X2)
| m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_4,axiom,
( ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| v3_struct_0(X2)
| m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_5,axiom,
( ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| v3_struct_0(X2)
| m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_6,axiom,
( ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| v3_struct_0(X2)
| m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2))
| ~ v1_group_1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_7,axiom,
( ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k4_autgroup(X2))
| v3_struct_0(X2)
| m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_1,axiom,
( v1_xboole_0(X3)
| v1_funct_2(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_2,axiom,
( v1_funct_2(X4,X2,X3)
| v1_xboole_0(X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_3,axiom,
( ~ m1_fraenkel(X1,X2,X3)
| v1_funct_2(X4,X2,X3)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_4,axiom,
( ~ m2_fraenkel(X4,X2,X3,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_funct_2(X4,X2,X3)
| v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_1,axiom,
( v1_xboole_0(X3)
| m2_relset_1(X4,X2,X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_2,axiom,
( m2_relset_1(X4,X2,X3)
| v1_xboole_0(X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_3,axiom,
( ~ m1_fraenkel(X1,X2,X3)
| m2_relset_1(X4,X2,X3)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_4,axiom,
( ~ m2_fraenkel(X4,X2,X3,X1)
| ~ m1_fraenkel(X1,X2,X3)
| m2_relset_1(X4,X2,X3)
| v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_1,axiom,
( v1_xboole_0(X3)
| m1_subset_1(X4,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_2,axiom,
( m1_subset_1(X4,X1)
| v1_xboole_0(X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_3,axiom,
( ~ m1_fraenkel(X1,X2,X3)
| m1_subset_1(X4,X1)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_4,axiom,
( ~ m2_fraenkel(X4,X2,X3,X1)
| ~ m1_fraenkel(X1,X2,X3)
| m1_subset_1(X4,X1)
| v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_1,axiom,
( v1_xboole_0(X3)
| v1_funct_1(X4)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_2,axiom,
( v1_funct_1(X4)
| v1_xboole_0(X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_3,axiom,
( ~ m1_fraenkel(X1,X2,X3)
| v1_funct_1(X4)
| v1_xboole_0(X3)
| ~ m2_fraenkel(X4,X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_4,axiom,
( ~ m2_fraenkel(X4,X2,X3,X1)
| ~ m1_fraenkel(X1,X2,X3)
| v1_funct_1(X4)
| v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_168_1,axiom,
( m2_fraenkel(sk2_esk16_3(X1,X2,X3),X1,X2,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_2,axiom,
( v1_xboole_0(X2)
| m2_fraenkel(sk2_esk16_3(X1,X2,X3),X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_3,axiom,
( ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| m2_fraenkel(sk2_esk16_3(X1,X2,X3),X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_1,axiom,
( v1_xboole_0(X3)
| m2_fraenkel(X4,X2,X3,X1)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_2,axiom,
( m2_fraenkel(X4,X2,X3,X1)
| v1_xboole_0(X3)
| ~ m1_fraenkel(X1,X2,X3)
| ~ m1_subset_1(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_3,axiom,
( ~ m1_fraenkel(X1,X2,X3)
| m2_fraenkel(X4,X2,X3,X1)
| v1_xboole_0(X3)
| ~ m1_subset_1(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_4,axiom,
( ~ m1_subset_1(X4,X1)
| ~ m1_fraenkel(X1,X2,X3)
| m2_fraenkel(X4,X2,X3,X1)
| v1_xboole_0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_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)
| ~ v3_struct_0(g1_group_1(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_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)
| ~ v3_struct_0(g1_group_1(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_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)
| ~ v3_struct_0(g1_group_1(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_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)
| ~ v3_struct_0(g1_group_1(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_5,axiom,
( ~ v3_struct_0(g1_group_1(X2,X1))
| ~ 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_170]) ).
cnf(c_0_171_1,axiom,
( X2 = X3
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X3
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X2 = X3
| ~ v1_funct_1(X1)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_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 = X3
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_5,axiom,
( g1_group_1(X2,X1) != g1_group_1(X3,X4)
| ~ 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 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_172_1,axiom,
( X1 = 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)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X4
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| X1 = X4
| ~ v1_funct_1(X1)
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_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 = X4
| g1_group_1(X2,X1) != g1_group_1(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_5,axiom,
( g1_group_1(X2,X1) != g1_group_1(X3,X4)
| ~ 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 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_173_1,axiom,
( v1_xboole_0(X2)
| v1_group_1(g1_group_1(X2,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) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_2,axiom,
( v1_group_1(g1_group_1(X2,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) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_3,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_group_1(g1_group_1(X2,X1))
| v1_xboole_0(X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_4,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_group_1(g1_group_1(X2,X1))
| v1_xboole_0(X2)
| ~ v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_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)
| v1_group_1(g1_group_1(X2,X1))
| v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_1,axiom,
( v1_group_1(g1_group_1(X2,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) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_group_1(g1_group_1(X2,X1))
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| v1_group_1(g1_group_1(X2,X1))
| ~ v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_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_group_1(g1_group_1(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_175_1,axiom,
( l1_group_1(g1_group_1(X2,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) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_2,axiom,
( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l1_group_1(g1_group_1(X2,X1))
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_3,axiom,
( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| l1_group_1(g1_group_1(X2,X1))
| ~ v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_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)
| l1_group_1(g1_group_1(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_176_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_176]) ).
cnf(c_0_176_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_176]) ).
cnf(c_0_176_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_176]) ).
cnf(c_0_176_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_176]) ).
cnf(c_0_176_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_176]) ).
cnf(c_0_176_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_176]) ).
cnf(c_0_177_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_177]) ).
cnf(c_0_177_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_177]) ).
cnf(c_0_177_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_177]) ).
cnf(c_0_177_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_177]) ).
cnf(c_0_177_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_177]) ).
cnf(c_0_177_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_177]) ).
cnf(c_0_178_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_178]) ).
cnf(c_0_178_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_178]) ).
cnf(c_0_178_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_178]) ).
cnf(c_0_178_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_178]) ).
cnf(c_0_178_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_178]) ).
cnf(c_0_178_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_178]) ).
cnf(c_0_179_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_179]) ).
cnf(c_0_179_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_179]) ).
cnf(c_0_179_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_179]) ).
cnf(c_0_179_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_179]) ).
cnf(c_0_179_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_179]) ).
cnf(c_0_179_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_179]) ).
cnf(c_0_186_1,axiom,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_2,axiom,
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_3,axiom,
( ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_187_1,axiom,
( v3_struct_0(X1)
| m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_2,axiom,
( m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_3,axiom,
( ~ l1_struct_0(X1)
| m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_192_0,axiom,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_192_1,axiom,
( ~ r2_hidden(X2,X1)
| ~ v1_xboole_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_193_0,axiom,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_1,axiom,
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sk2_esk1_1(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_2,axiom,
( ~ v1_xboole_0(sk2_esk1_1(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_194_0,axiom,
( v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_1,axiom,
( ~ v1_funct_1(X1)
| v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_2,axiom,
( ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v1_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_3,axiom,
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_195_0,axiom,
( v1_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_1,axiom,
( ~ v1_funct_1(X1)
| v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_2,axiom,
( ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_3,axiom,
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v1_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_196_0,axiom,
( v2_funct_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_1,axiom,
( ~ v1_funct_1(X1)
| v2_funct_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_2,axiom,
( ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v2_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_3,axiom,
( ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| v2_funct_1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_198_0,axiom,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_1,axiom,
( ~ v1_xboole_0(X1)
| X2 = X1
| ~ v1_xboole_0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_2,axiom,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_199_0,axiom,
~ v1_xboole_0(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_200_0,axiom,
~ v3_struct_0(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_201_0,axiom,
~ v1_xboole_0(sk2_esk5_0),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_202_0,axiom,
~ v3_struct_0(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_203_0,axiom,
~ v3_struct_0(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_180_1,axiom,
m1_fraenkel(sk2_esk19_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_181_1,axiom,
m1_relset_1(sk2_esk18_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_182_1,axiom,
m2_relset_1(sk2_esk15_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_183_1,axiom,
m1_relset_1(sk2_esk12_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_184_1,axiom,
v1_funct_2(sk2_esk12_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_185_1,axiom,
m1_relset_1(sk2_esk6_2(X1,X2),X1,X2),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_188_0,axiom,
v1_relat_1(sk2_esk12_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_189_0,axiom,
v1_funct_1(sk2_esk12_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_190_0,axiom,
v1_relat_1(sk2_esk6_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_191_0,axiom,
v1_funct_1(sk2_esk6_2(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_197_0,axiom,
m1_subset_1(sk2_esk17_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_204_0,axiom,
l1_group_1(sk2_esk21_0),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_205_0,axiom,
l1_struct_0(sk2_esk20_0),
inference(literals_permutation,[status(thm)],[c_0_205]) ).
cnf(c_0_206_0,axiom,
v1_fraenkel(sk2_esk14_0),
inference(literals_permutation,[status(thm)],[c_0_206]) ).
cnf(c_0_207_0,axiom,
v1_relat_1(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_207]) ).
cnf(c_0_208_0,axiom,
v1_funct_1(sk2_esk13_0),
inference(literals_permutation,[status(thm)],[c_0_208]) ).
cnf(c_0_209_0,axiom,
l1_group_1(sk2_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_209]) ).
cnf(c_0_210_0,axiom,
v1_group_1(sk2_esk11_0),
inference(literals_permutation,[status(thm)],[c_0_210]) ).
cnf(c_0_211_0,axiom,
v1_relat_1(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_211]) ).
cnf(c_0_212_0,axiom,
v1_funct_1(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_212]) ).
cnf(c_0_213_0,axiom,
v2_funct_1(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_213]) ).
cnf(c_0_214_0,axiom,
v1_xboole_0(sk2_esk10_0),
inference(literals_permutation,[status(thm)],[c_0_214]) ).
cnf(c_0_215_0,axiom,
v1_xboole_0(sk2_esk9_0),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_216_0,axiom,
v1_relat_1(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_217_0,axiom,
v1_xboole_0(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_217]) ).
cnf(c_0_218_0,axiom,
v1_funct_1(sk2_esk8_0),
inference(literals_permutation,[status(thm)],[c_0_218]) ).
cnf(c_0_219_0,axiom,
l1_group_1(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_220_0,axiom,
v1_group_1(sk2_esk7_0),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_221_0,axiom,
v1_relat_1(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_221]) ).
cnf(c_0_222_0,axiom,
v1_funct_1(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_222]) ).
cnf(c_0_223_0,axiom,
v2_funct_1(sk2_esk4_0),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_224_0,axiom,
l1_group_1(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_225_0,axiom,
v1_group_1(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_225]) ).
cnf(c_0_226_0,axiom,
v2_group_1(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_226]) ).
cnf(c_0_227_0,axiom,
v3_group_1(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_228_0,axiom,
v4_group_1(sk2_esk3_0),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_229_0,axiom,
l1_struct_0(sk2_esk2_0),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_189,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> r1_tarski(k4_autgroup(X1),k1_autgroup(X1)) ),
file('<stdin>',t14_autgroup) ).
fof(c_0_1_190,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> r1_tarski(k4_autgroup(X1),k1_autgroup(X1)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_191,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ r1_tarski(k4_autgroup(esk1_0),k1_autgroup(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_192,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_193,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_194,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_195,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_196,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_197,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_198,negated_conjecture,
~ r1_tarski(k4_autgroup(esk1_0),k1_autgroup(esk1_0)),
c_0_3,
[final] ).
cnf(c_0_10_199,negated_conjecture,
~ v3_struct_0(esk1_0),
c_0_4,
[final] ).
cnf(c_0_11_200,negated_conjecture,
v1_group_1(esk1_0),
c_0_5,
[final] ).
cnf(c_0_12_201,negated_conjecture,
v3_group_1(esk1_0),
c_0_6,
[final] ).
cnf(c_0_13_202,negated_conjecture,
v4_group_1(esk1_0),
c_0_7,
[final] ).
cnf(c_0_14_203,negated_conjecture,
l1_group_1(esk1_0),
c_0_8,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_15,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| m1_subset_1(X0,X3)
| v1_xboole_0(X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_166_1) ).
cnf(c_312,plain,
( ~ m2_fraenkel(X0,X1,X2,X3)
| ~ m1_fraenkel(X3,X1,X2)
| m1_subset_1(X0,X3)
| v1_xboole_0(X2) ),
inference(copy,[status(esa)],[c_15]) ).
cnf(c_14769,plain,
( ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| m1_subset_1(X0,k1_autgroup(X1)) ),
inference(instantiation,[status(thm)],[c_312]) ).
cnf(c_72369,plain,
( ~ m2_fraenkel(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0),k1_autgroup(sk3_esk1_0))
| v1_xboole_0(u1_struct_0(sk3_esk1_0))
| ~ m1_fraenkel(k1_autgroup(sk3_esk1_0),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0))
| m1_subset_1(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k1_autgroup(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_14769]) ).
cnf(c_6,plain,
( m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| v3_struct_0(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_163_7) ).
cnf(c_303,plain,
( m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| v3_struct_0(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1) ),
inference(copy,[status(esa)],[c_6]) ).
cnf(c_52204,plain,
( m2_fraenkel(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0),k1_autgroup(sk3_esk1_0))
| ~ m2_fraenkel(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0),k4_autgroup(sk3_esk1_0))
| v3_struct_0(sk3_esk1_0)
| ~ l1_group_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v3_group_1(sk3_esk1_0)
| ~ v1_group_1(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_303]) ).
cnf(c_170,plain,
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_167_0) ).
cnf(c_467,plain,
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(copy,[status(esa)],[c_170]) ).
cnf(c_32252,plain,
( v1_xboole_0(X0)
| ~ m1_subset_1(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),X0)
| r2_hidden(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),X0) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_52000,plain,
( v1_xboole_0(k1_autgroup(X0))
| ~ m1_subset_1(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k1_autgroup(X0))
| r2_hidden(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k1_autgroup(X0)) ),
inference(instantiation,[status(thm)],[c_32252]) ).
cnf(c_52001,plain,
( v1_xboole_0(k1_autgroup(sk3_esk1_0))
| ~ m1_subset_1(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k1_autgroup(sk3_esk1_0))
| r2_hidden(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k1_autgroup(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_52000]) ).
cnf(c_28,plain,
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X2)
| m2_fraenkel(X0,X3,X2,X1)
| ~ m1_fraenkel(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_169_3) ).
cnf(c_325,plain,
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X2)
| m2_fraenkel(X0,X3,X2,X1)
| ~ m1_fraenkel(X1,X3,X2) ),
inference(copy,[status(esa)],[c_28]) ).
cnf(c_15165,plain,
( m2_fraenkel(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),X0,X1,k4_autgroup(sk3_esk1_0))
| v1_xboole_0(X1)
| ~ m1_fraenkel(k4_autgroup(sk3_esk1_0),X0,X1)
| ~ m1_subset_1(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k4_autgroup(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_325]) ).
cnf(c_32368,plain,
( m2_fraenkel(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0),k4_autgroup(sk3_esk1_0))
| v1_xboole_0(u1_struct_0(sk3_esk1_0))
| ~ m1_fraenkel(k4_autgroup(sk3_esk1_0),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0))
| ~ m1_subset_1(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k4_autgroup(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_15165]) ).
cnf(c_180,plain,
( ~ v1_xboole_0(X0)
| ~ m1_fraenkel(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_157_0) ).
cnf(c_477,plain,
( ~ v1_xboole_0(X0)
| ~ m1_fraenkel(X0,X1,X2) ),
inference(copy,[status(esa)],[c_180]) ).
cnf(c_15040,plain,
( ~ v1_xboole_0(k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(instantiation,[status(thm)],[c_477]) ).
cnf(c_15041,plain,
( ~ v1_xboole_0(k1_autgroup(sk3_esk1_0))
| ~ m1_fraenkel(k1_autgroup(sk3_esk1_0),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_15040]) ).
cnf(c_166,plain,
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_171_0) ).
cnf(c_463,plain,
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(copy,[status(esa)],[c_166]) ).
cnf(c_14824,plain,
( m1_subset_1(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k4_autgroup(sk3_esk1_0))
| ~ r2_hidden(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k4_autgroup(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_463]) ).
cnf(c_182,plain,
( ~ r2_hidden(sk1_esk1_2(X0,X1),X0)
| r1_tarski(X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_155_0) ).
cnf(c_479,plain,
( ~ r2_hidden(sk1_esk1_2(X0,X1),X0)
| r1_tarski(X1,X0) ),
inference(copy,[status(esa)],[c_182]) ).
cnf(c_14477,plain,
( ~ r2_hidden(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k1_autgroup(sk3_esk1_0))
| r1_tarski(k4_autgroup(sk3_esk1_0),k1_autgroup(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_479]) ).
cnf(c_177,plain,
( r2_hidden(sk1_esk1_2(X0,X1),X1)
| r1_tarski(X1,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_160_0) ).
cnf(c_474,plain,
( r2_hidden(sk1_esk1_2(X0,X1),X1)
| r1_tarski(X1,X0) ),
inference(copy,[status(esa)],[c_177]) ).
cnf(c_14476,plain,
( r2_hidden(sk1_esk1_2(k1_autgroup(sk3_esk1_0),k4_autgroup(sk3_esk1_0)),k4_autgroup(sk3_esk1_0))
| r1_tarski(k4_autgroup(sk3_esk1_0),k1_autgroup(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_474]) ).
cnf(c_161,plain,
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_176_0) ).
cnf(c_224,plain,
( ~ l1_group_1(sk3_esk1_0)
| l1_struct_0(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_161]) ).
cnf(c_163,plain,
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_174_0) ).
cnf(c_222,plain,
( v3_struct_0(sk3_esk1_0)
| ~ v1_xboole_0(u1_struct_0(sk3_esk1_0))
| ~ l1_struct_0(sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_173,plain,
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_164_0) ).
cnf(c_214,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l1_group_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v3_group_1(sk3_esk1_0)
| ~ v1_group_1(sk3_esk1_0)
| m1_fraenkel(k1_autgroup(sk3_esk1_0),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_174,plain,
( ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_163_0) ).
cnf(c_213,plain,
( v3_struct_0(sk3_esk1_0)
| ~ l1_group_1(sk3_esk1_0)
| ~ v4_group_1(sk3_esk1_0)
| ~ v3_group_1(sk3_esk1_0)
| ~ v1_group_1(sk3_esk1_0)
| m1_fraenkel(k4_autgroup(sk3_esk1_0),u1_struct_0(sk3_esk1_0),u1_struct_0(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_174]) ).
cnf(c_193,negated_conjecture,
~ r1_tarski(k4_autgroup(sk3_esk1_0),k1_autgroup(sk3_esk1_0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_9) ).
cnf(c_194,negated_conjecture,
~ v3_struct_0(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_10) ).
cnf(c_195,negated_conjecture,
v1_group_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_11) ).
cnf(c_196,negated_conjecture,
v3_group_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_12) ).
cnf(c_197,negated_conjecture,
v4_group_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_13) ).
cnf(c_198,negated_conjecture,
l1_group_1(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p',c_0_14) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_72369,c_52204,c_52001,c_32368,c_15041,c_14824,c_14477,c_14476,c_224,c_222,c_214,c_213,c_193,c_194,c_195,c_196,c_197,c_198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.13 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n022.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 : Tue Jun 14 00:38:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Running in mono-core mode
% 0.21/0.43 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.43 % FOF problem with conjecture
% 0.21/0.43 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4fb62e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_ed76c7.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_dee87b | grep -v "SZS"
% 0.21/0.45
% 0.21/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ iProver source info
% 0.21/0.45
% 0.21/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.45 % git: non_committed_changes: true
% 0.21/0.45 % git: last_make_outside_of_git: true
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.47 % --bmc1_dump_file -
% 0.21/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.47 % --bmc1_ucm_extend_mode 1
% 0.21/0.47 % --bmc1_ucm_init_mode 2
% 0.21/0.47 % --bmc1_ucm_cone_mode none
% 0.21/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.47 % --bmc1_ucm_relax_model 4
% 0.21/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.47 % --bmc1_ucm_layered_model none
% 0.21/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.47
% 0.21/0.47 % ------ AIG Options
% 0.21/0.47
% 0.21/0.47 % --aig_mode false
% 0.21/0.47
% 0.21/0.47 % ------ Instantiation Options
% 0.21/0.47
% 0.21/0.47 % --instantiation_flag true
% 0.21/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.47 % --inst_solver_per_active 750
% 0.21/0.47 % --inst_solver_calls_frac 0.5
% 0.21/0.47 % --inst_passive_queue_type priority_queues
% 0.21/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.47 % --inst_passive_queues_freq [25;2]
% 0.21/0.47 % --inst_dismatching true
% 0.21/0.47 % --inst_eager_unprocessed_to_passive true
% 0.21/0.47 % --inst_prop_sim_given true
% 0.21/0.47 % --inst_prop_sim_new false
% 0.21/0.47 % --inst_orphan_elimination true
% 0.21/0.47 % --inst_learning_loop_flag true
% 0.21/0.47 % --inst_learning_start 3000
% 0.21/0.47 % --inst_learning_factor 2
% 0.21/0.47 % --inst_start_prop_sim_after_learn 3
% 0.21/0.47 % --inst_sel_renew solver
% 0.21/0.47 % --inst_lit_activity_flag true
% 0.21/0.47 % --inst_out_proof true
% 0.21/0.47
% 0.21/0.47 % ------ Resolution Options
% 0.21/0.47
% 0.21/0.47 % --resolution_flag true
% 0.21/0.47 % --res_lit_sel kbo_max
% 0.21/0.47 % --res_to_prop_solver none
% 0.21/0.47 % --res_prop_simpl_new false
% 0.21/0.47 % --res_prop_simpl_given false
% 0.21/0.47 % --res_passive_queue_type priority_queues
% 0.21/0.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.47 % --res_passive_queues_freq [15;5]
% 0.21/0.47 % --res_forward_subs full
% 0.21/0.47 % --res_backward_subs full
% 0.21/0.47 % --res_forward_subs_resolution true
% 0.21/0.47 % --res_backward_subs_resolution true
% 0.21/0.47 % --res_orphan_elimination false
% 0.21/0.47 % --res_time_limit 1000.
% 0.21/0.47 % --res_out_proof true
% 0.21/0.47 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4fb62e.s
% 0.21/0.47 % --modulo true
% 0.21/0.47
% 0.21/0.47 % ------ Combination Options
% 0.21/0.47
% 0.21/0.47 % --comb_res_mult 1000
% 0.21/0.47 % --comb_inst_mult 300
% 0.21/0.47 % ------
% 0.21/0.47
% 0.21/0.47 % ------ Parsing...% successful
% 0.21/0.47
% 0.21/0.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.47
% 0.21/0.47 % ------ Proving...
% 0.21/0.47 % ------ Problem Properties
% 0.21/0.47
% 0.21/0.47 %
% 0.21/0.47 % EPR false
% 0.21/0.47 % Horn false
% 0.21/0.47 % Has equality true
% 0.21/0.47
% 0.21/0.47 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % % ------ Current options:
% 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
% 0.21/0.48 % --prep_res_sim true
% 0.21/0.48 % --prep_upred true
% 0.21/0.48 % --res_sim_input true
% 0.21/0.48 % --clause_weak_htbl true
% 0.21/0.48 % --gc_record_bc_elim false
% 0.21/0.48 % --symbol_type_check false
% 0.21/0.48 % --clausify_out false
% 0.21/0.48 % --large_theory_mode false
% 0.21/0.48 % --prep_sem_filter none
% 0.21/0.48 % --prep_sem_filter_out false
% 0.21/0.48 % --preprocessed_out false
% 0.21/0.48 % --sub_typing false
% 0.21/0.48 % --brand_transform false
% 0.21/0.48 % --pure_diseq_elim true
% 0.21/0.48 % --min_unsat_core false
% 0.21/0.48 % --pred_elim true
% 0.21/0.48 % --add_important_lit false
% 0.21/0.48 % --soft_assumptions false
% 0.21/0.48 % --reset_solvers false
% 0.21/0.48 % --bc_imp_inh []
% 0.21/0.48 % --conj_cone_tolerance 1.5
% 0.21/0.48 % --prolific_symb_bound 500
% 0.21/0.48 % --lt_threshold 2000
% 0.21/0.48
% 0.21/0.48 % ------ SAT Options
% 0.21/0.48
% 0.21/0.48 % --sat_mode false
% 0.21/0.48 % --sat_fm_restart_options ""
% 0.21/0.48 % --sat_gr_def false
% 0.21/0.48 % --sat_epr_types true
% 0.21/0.48 % --sat_non_cyclic_types false
% 0.21/0.48 % --sat_finite_models false
% 0.21/0.48 % --sat_fm_lemmas false
% 0.21/0.48 % --sat_fm_prep false
% 0.21/0.48 % --sat_fm_uc_incr true
% 0.21/0.48 % --sat_out_model small
% 0.21/0.48 % --sat_out_clauses false
% 0.21/0.48
% 0.21/0.48 % ------ QBF Options
% 0.21/0.48
% 0.21/0.48 % --qbf_mode false
% 0.21/0.48 % --qbf_elim_univ true
% 0.21/0.48 % --qbf_sk_in true
% 0.21/0.48 % --qbf_pred_elim true
% 0.21/0.48 % --qbf_split 32
% 0.21/0.48
% 0.21/0.48 % ------ BMC1 Options
% 0.21/0.48
% 0.21/0.48 % --bmc1_incremental false
% 0.21/0.48 % --bmc1_axioms reachable_all
% 0.21/0.48 % --bmc1_min_bound 0
% 0.21/0.48 % --bmc1_max_bound -1
% 0.21/0.48 % --bmc1_max_bound_default -1
% 0.21/0.48 % --bmc1_symbol_reachability true
% 0.21/0.48 % --bmc1_property_lemmas false
% 0.21/0.48 % --bmc1_k_induction false
% 0.21/0.48 % --bmc1_non_equiv_states false
% 0.21/0.48 % --bmc1_deadlock false
% 0.21/0.48 % --bmc1_ucm false
% 0.21/0.48 % --bmc1_add_unsat_core none
% 0.21/0.48 % --bmc1_unsat_core_children false
% 0.21/0.48 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.48 % --bmc1_out_stat full
% 0.21/0.48 % --bmc1_ground_init false
% 0.21/0.48 % --bmc1_pre_inst_next_state false
% 0.21/0.48 % --bmc1_pre_inst_state false
% 0.21/0.48 % --bmc1_pre_inst_reach_state false
% 0.21/0.48 % --bmc1_out_unsat_core false
% 0.21/0.48 % --bmc1_aig_witness_out false
% 0.21/0.48 % --bmc1_verbose false
% 0.21/0.48 % --bmc1_dump_clauses_tptp false
% 0.21/0.48 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.48 % --bmc1_dump_file -
% 0.21/0.48 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.48 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.48 % --bmc1_ucm_extend_mode 1
% 0.21/0.48 % --bmc1_ucm_init_mode 2
% 0.21/0.48 % --bmc1_ucm_cone_mode none
% 0.21/0.48 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.48 % --bmc1_ucm_relax_model 4
% 0.21/0.48 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.48 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.48 % --bmc1_ucm_layered_model none
% 0.21/0.48 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.48
% 0.21/0.48 % ------ AIG Options
% 0.21/0.48
% 0.21/0.48 % --aig_mode false
% 0.21/0.48
% 0.21/0.48 % ------ Instantiation Options
% 0.21/0.48
% 0.21/0.48 % --instantiation_flag true
% 0.21/0.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.48 % --inst_solver_per_active 750
% 0.21/0.48 % --inst_solver_calls_frac 0.5
% 0.21/0.48 % --inst_passive_queue_type priority_queues
% 0.21/0.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.48 % --inst_passive_queues_freq [25;2]
% 0.21/0.48 % --inst_dismatching true
% 0.21/0.48 % --inst_eager_unprocessed_to_passive true
% 0.21/0.48 % --inst_prop_sim_given true
% 90.74/90.92 % --inst_prop_sim_new false
% 90.74/90.92 % --inst_orphan_elimination true
% 90.74/90.92 % --inst_learning_loop_flag true
% 90.74/90.92 % --inst_learning_start 3000
% 90.74/90.92 % --inst_learning_factor 2
% 90.74/90.92 % --inst_start_prop_sim_after_learn 3
% 90.74/90.92 % --inst_sel_renew solver
% 90.74/90.92 % --inst_lit_activity_flag true
% 90.74/90.92 % --inst_out_proof true
% 90.74/90.92
% 90.74/90.92 % ------ Resolution Options
% 90.74/90.92
% 90.74/90.92 % --resolution_flag true
% 90.74/90.92 % --res_lit_sel kbo_max
% 90.74/90.92 % --res_to_prop_solver none
% 90.74/90.92 % --res_prop_simpl_new false
% 90.74/90.92 % --res_prop_simpl_given false
% 90.74/90.92 % --res_passive_queue_type priority_queues
% 90.74/90.92 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 90.74/90.92 % --res_passive_queues_freq [15;5]
% 90.74/90.92 % --res_forward_subs full
% 90.74/90.92 % --res_backward_subs full
% 90.74/90.92 % --res_forward_subs_resolution true
% 90.74/90.92 % --res_backward_subs_resolution true
% 90.74/90.92 % --res_orphan_elimination false
% 90.74/90.92 % --res_time_limit 1000.
% 90.74/90.92 % --res_out_proof true
% 90.74/90.92 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_4fb62e.s
% 90.74/90.92 % --modulo true
% 90.74/90.92
% 90.74/90.92 % ------ Combination Options
% 90.74/90.92
% 90.74/90.92 % --comb_res_mult 1000
% 90.74/90.92 % --comb_inst_mult 300
% 90.74/90.92 % ------
% 90.74/90.92
% 90.74/90.92
% 90.74/90.92
% 90.74/90.92 % ------ Proving...
% 90.74/90.92 %
% 90.74/90.92
% 90.74/90.92
% 90.74/90.92 % ------ Statistics
% 90.74/90.92
% 90.74/90.92 % ------ General
% 90.74/90.92
% 90.74/90.92 % num_of_input_clauses: 199
% 90.74/90.92 % num_of_input_neg_conjectures: 6
% 90.74/90.92 % num_of_splits: 0
% 90.74/90.92 % num_of_split_atoms: 0
% 90.74/90.92 % num_of_sem_filtered_clauses: 0
% 90.74/90.92 % num_of_subtypes: 0
% 90.74/90.92 % monotx_restored_types: 0
% 90.74/90.92 % sat_num_of_epr_types: 0
% 90.74/90.92 % sat_num_of_non_cyclic_types: 0
% 90.74/90.92 % sat_guarded_non_collapsed_types: 0
% 90.74/90.92 % is_epr: 0
% 90.74/90.92 % is_horn: 0
% 90.74/90.92 % has_eq: 1
% 90.74/90.92 % num_pure_diseq_elim: 0
% 90.74/90.92 % simp_replaced_by: 0
% 90.74/90.92 % res_preprocessed: 12
% 90.74/90.92 % prep_upred: 0
% 90.74/90.92 % prep_unflattend: 0
% 90.74/90.92 % pred_elim_cands: 0
% 90.74/90.92 % pred_elim: 0
% 90.74/90.92 % pred_elim_cl: 0
% 90.74/90.92 % pred_elim_cycles: 0
% 90.74/90.92 % forced_gc_time: 0
% 90.74/90.92 % gc_basic_clause_elim: 0
% 90.74/90.92 % parsing_time: 0.008
% 90.74/90.92 % sem_filter_time: 0.
% 90.74/90.92 % pred_elim_time: 0.
% 90.74/90.92 % out_proof_time: 0.001
% 90.74/90.92 % monotx_time: 0.
% 90.74/90.92 % subtype_inf_time: 0.
% 90.74/90.92 % unif_index_cands_time: 0.071
% 90.74/90.92 % unif_index_add_time: 0.165
% 90.74/90.92 % total_time: 90.482
% 90.74/90.92 % num_of_symbols: 77
% 90.74/90.92 % num_of_terms: 35349
% 90.74/90.92
% 90.74/90.92 % ------ Propositional Solver
% 90.74/90.92
% 90.74/90.92 % prop_solver_calls: 7
% 90.74/90.92 % prop_fast_solver_calls: 18
% 90.74/90.92 % prop_num_of_clauses: 2493
% 90.74/90.92 % prop_preprocess_simplified: 3594
% 90.74/90.92 % prop_fo_subsumed: 0
% 90.74/90.92 % prop_solver_time: 0.001
% 90.74/90.92 % prop_fast_solver_time: 0.
% 90.74/90.92 % prop_unsat_core_time: 0.
% 90.74/90.92
% 90.74/90.92 % ------ QBF
% 90.74/90.92
% 90.74/90.92 % qbf_q_res: 0
% 90.74/90.92 % qbf_num_tautologies: 0
% 90.74/90.92 % qbf_prep_cycles: 0
% 90.74/90.92
% 90.74/90.92 % ------ BMC1
% 90.74/90.92
% 90.74/90.92 % bmc1_current_bound: -1
% 90.74/90.92 % bmc1_last_solved_bound: -1
% 90.74/90.92 % bmc1_unsat_core_size: -1
% 90.74/90.92 % bmc1_unsat_core_parents_size: -1
% 90.74/90.92 % bmc1_merge_next_fun: 0
% 90.74/90.92 % bmc1_unsat_core_clauses_time: 0.
% 90.74/90.92
% 90.74/90.92 % ------ Instantiation
% 90.74/90.92
% 90.74/90.92 % inst_num_of_clauses: 1684
% 90.74/90.92 % inst_num_in_passive: 603
% 90.74/90.92 % inst_num_in_active: 896
% 90.74/90.92 % inst_num_in_unprocessed: 157
% 90.74/90.92 % inst_num_of_loops: 1102
% 90.74/90.92 % inst_num_of_learning_restarts: 0
% 90.74/90.92 % inst_num_moves_active_passive: 178
% 90.74/90.92 % inst_lit_activity: 192
% 90.74/90.92 % inst_lit_activity_moves: 0
% 90.74/90.92 % inst_num_tautologies: 26
% 90.74/90.92 % inst_num_prop_implied: 0
% 90.74/90.92 % inst_num_existing_simplified: 0
% 90.74/90.92 % inst_num_eq_res_simplified: 0
% 90.74/90.92 % inst_num_child_elim: 0
% 90.74/90.92 % inst_num_of_dismatching_blockings: 694
% 90.74/90.92 % inst_num_of_non_proper_insts: 1610
% 90.74/90.92 % inst_num_of_duplicates: 1019
% 90.74/90.92 % inst_inst_num_from_inst_to_res: 0
% 90.74/90.92 % inst_dismatching_checking_time: 0.001
% 90.74/90.92
% 90.74/90.92 % ------ Resolution
% 90.74/90.92
% 90.74/90.92 % res_num_of_clauses: 4546
% 90.74/90.92 % res_num_in_passive: 1148
% 90.74/90.92 % res_num_in_active: 3270
% 90.74/90.92 % res_num_of_loops: 4000
% 90.74/90.92 % res_forward_subset_subsumed: 620
% 90.74/90.92 % res_backward_subset_subsumed: 0
% 90.74/90.92 % res_forward_subsumed: 830
% 90.74/90.92 % res_backward_subsumed: 0
% 90.74/90.92 % res_forward_subsumption_resolution: 1039
% 90.74/90.92 % res_backward_subsumption_resolution: 0
% 90.74/90.92 % res_clause_to_clause_subsumption: 52670
% 90.74/90.92 % res_orphan_elimination: 0
% 90.74/90.92 % res_tautology_del: 24
% 90.74/90.92 % res_num_eq_res_simplified: 0
% 90.74/90.92 % res_num_sel_changes: 0
% 90.74/90.92 % res_moves_from_active_to_pass: 0
% 90.74/90.92
% 90.74/90.92 % Status Unsatisfiable
% 90.74/90.92 % SZS status Theorem
% 90.74/90.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------