%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 11:23:04 EDT 2022

% Result   : Theorem 15.79s 15.97s
% Output   : CNFRefutation 15.79s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(t6_boole,axiom,
    ! [A] :
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ),
    input ).

fof(t6_boole_0,plain,
    ! [A] :
      ( ~ v1_xboole_0(A)
      | A = k1_xboole_0 ),
    inference(orientation,[status(thm)],[t6_boole]) ).

fof(t4_subset,axiom,
    ! [A,B,C] :
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ),
    input ).

fof(t4_subset_0,plain,
    ! [A,B,C] :
      ( m1_subset_1(A,C)
      | ~ ( r2_hidden(A,B)
          & m1_subset_1(B,k1_zfmisc_1(C)) ) ),
    inference(orientation,[status(thm)],[t4_subset]) ).

fof(t3_subset,axiom,
    ! [A,B] :
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ),
    input ).

fof(t3_subset_0,plain,
    ! [A,B] :
      ( m1_subset_1(A,k1_zfmisc_1(B))
      | ~ r1_tarski(A,B) ),
    inference(orientation,[status(thm)],[t3_subset]) ).

fof(t3_subset_1,plain,
    ! [A,B] :
      ( ~ m1_subset_1(A,k1_zfmisc_1(B))
      | r1_tarski(A,B) ),
    inference(orientation,[status(thm)],[t3_subset]) ).

fof(t2_tarski,axiom,
    ! [A,B] :
      ( ! [C] :
          ( r2_hidden(C,A)
        <=> r2_hidden(C,B) )
     => A = B ),
    input ).

fof(t2_tarski_0,plain,
    ! [A,B] :
      ( A = B
      | ~ ! [C] :
            ( r2_hidden(C,A)
          <=> r2_hidden(C,B) ) ),
    inference(orientation,[status(thm)],[t2_tarski]) ).

fof(t2_subset,axiom,
    ! [A,B] :
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ),
    input ).

fof(t2_subset_0,plain,
    ! [A,B] :
      ( ~ m1_subset_1(A,B)
      | v1_xboole_0(B)
      | r2_hidden(A,B) ),
    inference(orientation,[status(thm)],[t2_subset]) ).

fof(t1_subset,axiom,
    ! [A,B] :
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ),
    input ).

fof(t1_subset_0,plain,
    ! [A,B] :
      ( ~ r2_hidden(A,B)
      | m1_subset_1(A,B) ),
    inference(orientation,[status(thm)],[t1_subset]) ).

fof(s8_domain_1__e1_46__relset_2,axiom,
    ! [A,B,C,D,E,F] :
      ( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
        & m1_subset_1(F,k1_zfmisc_1(D)) )
     => m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ),
    input ).

fof(s8_domain_1__e1_46__relset_2_0,plain,
    ! [A,B,C,D,E,F] :
      ( m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E)))
      | ~ ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
          & m1_subset_1(F,k1_zfmisc_1(D)) ) ),
    inference(orientation,[status(thm)],[s8_domain_1__e1_46__relset_2]) ).

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(redefinition_k8_relset_2,axiom,
    ! [A,B,C,D] :
      ( ( m1_subset_1(C,k1_zfmisc_1(A))
        & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
     => k8_relset_2(A,B,C,D) = k7_relset_2(A,B,C,D) ),
    input ).

fof(redefinition_k8_relset_2_0,plain,
    ! [A,B,C,D] :
      ( k8_relset_2(A,B,C,D) = k7_relset_2(A,B,C,D)
      | ~ ( m1_subset_1(C,k1_zfmisc_1(A))
          & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    inference(orientation,[status(thm)],[redefinition_k8_relset_2]) ).

fof(redefinition_k6_relset_2,axiom,
    ! [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
     => k6_relset_2(A,B,C) = k5_relset_2(B,C) ),
    input ).

fof(redefinition_k6_relset_2_0,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
      | k6_relset_2(A,B,C) = k5_relset_2(B,C) ),
    inference(orientation,[status(thm)],[redefinition_k6_relset_2]) ).

fof(redefinition_k4_relset_2,axiom,
    ! [A,B,C,D] :
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))
     => k4_relset_2(A,B,C,D) = k9_relat_1(C,D) ),
    input ).

fof(redefinition_k4_relset_2_0,plain,
    ! [A,B,C,D] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))
      | k4_relset_2(A,B,C,D) = k9_relat_1(C,D) ),
    inference(orientation,[status(thm)],[redefinition_k4_relset_2]) ).

fof(rc1_subset_1,axiom,
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ? [B] :
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ),
    input ).

fof(rc1_subset_1_0,plain,
    ! [A] :
      ( v1_xboole_0(A)
      | ? [B] :
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ),
    inference(orientation,[status(thm)],[rc1_subset_1]) ).

fof(fc4_subset_1,axiom,
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
    input ).

fof(fc4_subset_1_0,plain,
    ! [A,B] :
      ( ~ v1_xboole_0(k2_zfmisc_1(A,B))
      | ~ ( ~ v1_xboole_0(A)
          & ~ v1_xboole_0(B) ) ),
    inference(orientation,[status(thm)],[fc4_subset_1]) ).

fof(fc4_relat_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0) ),
    input ).

fof(fc4_relat_1_0,plain,
    ( v1_xboole_0(k1_xboole_0)
    | $false ),
    inference(orientation,[status(thm)],[fc4_relat_1]) ).

fof(fc4_relat_1_1,plain,
    ( v1_relat_1(k1_xboole_0)
    | $false ),
    inference(orientation,[status(thm)],[fc4_relat_1]) ).

fof(fc1_sysrel,axiom,
    ! [A,B] : v1_relat_1(k2_zfmisc_1(A,B)),
    input ).

fof(fc1_sysrel_0,plain,
    ! [A,B] :
      ( v1_relat_1(k2_zfmisc_1(A,B))
      | $false ),
    inference(orientation,[status(thm)],[fc1_sysrel]) ).

fof(fc1_subset_1,axiom,
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
    input ).

fof(fc1_subset_1_0,plain,
    ! [A] :
      ( ~ v1_xboole_0(k1_zfmisc_1(A))
      | $false ),
    inference(orientation,[status(thm)],[fc1_subset_1]) ).

fof(fc12_relat_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0) ),
    input ).

fof(fc12_relat_1_0,plain,
    ( v1_xboole_0(k1_xboole_0)
    | $false ),
    inference(orientation,[status(thm)],[fc12_relat_1]) ).

fof(fc12_relat_1_1,plain,
    ( v1_relat_1(k1_xboole_0)
    | $false ),
    inference(orientation,[status(thm)],[fc12_relat_1]) ).

fof(fc12_relat_1_2,plain,
    ( v3_relat_1(k1_xboole_0)
    | $false ),
    inference(orientation,[status(thm)],[fc12_relat_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_eqrel_1,axiom,
    ! [A,B] :
      ( m1_eqrel_1(B,A)
     => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    input ).

fof(dt_m1_eqrel_1_0,plain,
    ! [A,B] :
      ( ~ m1_eqrel_1(B,A)
      | m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    inference(orientation,[status(thm)],[dt_m1_eqrel_1]) ).

fof(dt_k9_relat_1,axiom,
    $true,
    input ).

fof(dt_k9_relat_1_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_k9_relat_1]) ).

fof(dt_k8_setfam_1,axiom,
    ! [A,B] :
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ),
    input ).

fof(dt_k8_setfam_1_0,plain,
    ! [A,B] :
      ( ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
      | m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ),
    inference(orientation,[status(thm)],[dt_k8_setfam_1]) ).

fof(dt_k8_relset_2,axiom,
    ! [A,B,C,D] :
      ( ( m1_subset_1(C,k1_zfmisc_1(A))
        & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
     => m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)) ),
    input ).

fof(dt_k8_relset_2_0,plain,
    ! [A,B,C,D] :
      ( m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B))
      | ~ ( m1_subset_1(C,k1_zfmisc_1(A))
          & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    inference(orientation,[status(thm)],[dt_k8_relset_2]) ).

fof(dt_k7_relset_2,axiom,
    $true,
    input ).

fof(dt_k7_relset_2_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_k7_relset_2]) ).

fof(dt_k6_relset_2,axiom,
    ! [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
     => ( v1_funct_1(k6_relset_2(A,B,C))
        & v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))
        & m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)) ) ),
    input ).

fof(dt_k6_relset_2_0,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))
      | ( v1_funct_1(k6_relset_2(A,B,C))
        & v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))
        & m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)) ) ),
    inference(orientation,[status(thm)],[dt_k6_relset_2]) ).

fof(dt_k5_relset_2,axiom,
    ! [A,B] :
      ( v1_relat_1(B)
     => ( v1_relat_1(k5_relset_2(A,B))
        & v1_funct_1(k5_relset_2(A,B)) ) ),
    input ).

fof(dt_k5_relset_2_0,plain,
    ! [A,B] :
      ( ~ v1_relat_1(B)
      | ( v1_relat_1(k5_relset_2(A,B))
        & v1_funct_1(k5_relset_2(A,B)) ) ),
    inference(orientation,[status(thm)],[dt_k5_relset_2]) ).

fof(dt_k4_relset_2,axiom,
    ! [A,B,C,D] :
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))
     => m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
    input ).

fof(dt_k4_relset_2_0,plain,
    ! [A,B,C,D] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))
      | m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
    inference(orientation,[status(thm)],[dt_k4_relset_2]) ).

fof(dt_k3_pua2mss1,axiom,
    ! [A] : m1_eqrel_1(k3_pua2mss1(A),A),
    input ).

fof(dt_k3_pua2mss1_0,plain,
    ! [A] :
      ( m1_eqrel_1(k3_pua2mss1(A),A)
      | $false ),
    inference(orientation,[status(thm)],[dt_k3_pua2mss1]) ).

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(d4_relset_2,axiom,
    ! [A,B,C] :
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => ! [D] :
          ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
         => k7_relset_2(A,B,C,D) = k8_setfam_1(B,k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C))) ) ),
    input ).

fof(d4_relset_2_0,plain,
    ! [A,B,C] :
      ( ~ m1_subset_1(C,k1_zfmisc_1(A))
      | ! [D] :
          ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
         => k7_relset_2(A,B,C,D) = k8_setfam_1(B,k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C))) ) ),
    inference(orientation,[status(thm)],[d4_relset_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_relat_1,axiom,
    ! [A] :
      ( v1_xboole_0(A)
     => v1_relat_1(A) ),
    input ).

fof(cc1_relat_1_0,plain,
    ! [A] :
      ( ~ v1_xboole_0(A)
      | v1_relat_1(A) ),
    inference(orientation,[status(thm)],[cc1_relat_1]) ).

fof(antisymmetry_r2_hidden,axiom,
    ! [A,B] :
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ),
    input ).

fof(antisymmetry_r2_hidden_0,plain,
    ! [A,B] :
      ( ~ r2_hidden(A,B)
      | ~ r2_hidden(B,A) ),
    inference(orientation,[status(thm)],[antisymmetry_r2_hidden]) ).

fof(def_lhs_atom1,axiom,
    ! [B,A] :
      ( lhs_atom1(B,A)
    <=> ~ r2_hidden(A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [A,B] :
      ( lhs_atom1(B,A)
      | ~ r2_hidden(B,A) ),
    inference(fold_definition,[status(thm)],[antisymmetry_r2_hidden_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [A] :
      ( lhs_atom2(A)
    <=> ~ v1_xboole_0(A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [A] :
      ( lhs_atom2(A)
      | v1_relat_1(A) ),
    inference(fold_definition,[status(thm)],[cc1_relat_1_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [C,B,A] :
      ( lhs_atom3(C,B,A)
    <=> ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [A,B,C] :
      ( lhs_atom3(C,B,A)
      | v1_relat_1(C) ),
    inference(fold_definition,[status(thm)],[cc1_relset_1_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [C,A] :
      ( lhs_atom4(C,A)
    <=> ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [A,B,C] :
      ( lhs_atom4(C,A)
      | ! [D] :
          ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
         => k7_relset_2(A,B,C,D) = k8_setfam_1(B,k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C))) ) ),
    inference(fold_definition,[status(thm)],[d4_relset_2_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> $true ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom5]) ).

fof(to_be_clausified_5,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom5]) ).

fof(to_be_clausified_6,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k2_zfmisc_1_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [A] :
      ( lhs_atom6(A)
    <=> m1_eqrel_1(k3_pua2mss1(A),A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [A] :
      ( lhs_atom6(A)
      | $false ),
    inference(fold_definition,[status(thm)],[dt_k3_pua2mss1_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [C,B,A] :
      ( lhs_atom7(C,B,A)
    <=> ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [A,B,C,D] :
      ( lhs_atom7(C,B,A)
      | m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
    inference(fold_definition,[status(thm)],[dt_k4_relset_2_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [B] :
      ( lhs_atom8(B)
    <=> ~ v1_relat_1(B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [A,B] :
      ( lhs_atom8(B)
      | ( v1_relat_1(k5_relset_2(A,B))
        & v1_funct_1(k5_relset_2(A,B)) ) ),
    inference(fold_definition,[status(thm)],[dt_k5_relset_2_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [C,B,A] :
      ( lhs_atom9(C,B,A)
    <=> ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [A,B,C] :
      ( lhs_atom9(C,B,A)
      | ( v1_funct_1(k6_relset_2(A,B,C))
        & v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))
        & m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)) ) ),
    inference(fold_definition,[status(thm)],[dt_k6_relset_2_0,def_lhs_atom9]) ).

fof(to_be_clausified_11,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k7_relset_2_0,def_lhs_atom5]) ).

fof(def_lhs_atom10,axiom,
    ! [D,C,B,A] :
      ( lhs_atom10(D,C,B,A)
    <=> m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [A,B,C,D] :
      ( lhs_atom10(D,C,B,A)
      | ~ ( m1_subset_1(C,k1_zfmisc_1(A))
          & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    inference(fold_definition,[status(thm)],[dt_k8_relset_2_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [B,A] :
      ( lhs_atom11(B,A)
    <=> ~ m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [A,B] :
      ( lhs_atom11(B,A)
      | m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ),
    inference(fold_definition,[status(thm)],[dt_k8_setfam_1_0,def_lhs_atom11]) ).

fof(to_be_clausified_14,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k9_relat_1_0,def_lhs_atom5]) ).

fof(def_lhs_atom12,axiom,
    ! [B,A] :
      ( lhs_atom12(B,A)
    <=> ~ m1_eqrel_1(B,A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [A,B] :
      ( lhs_atom12(B,A)
      | m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ),
    inference(fold_definition,[status(thm)],[dt_m1_eqrel_1_0,def_lhs_atom12]) ).

fof(to_be_clausified_16,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[dt_m1_relset_1_0,def_lhs_atom5]) ).

fof(to_be_clausified_17,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom5]) ).

fof(def_lhs_atom13,axiom,
    ! [C,B,A] :
      ( lhs_atom13(C,B,A)
    <=> ~ m2_relset_1(C,A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [A,B,C] :
      ( lhs_atom13(C,B,A)
      | m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
    inference(fold_definition,[status(thm)],[dt_m2_relset_1_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ( lhs_atom14
  <=> v3_relat_1(k1_xboole_0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ( lhs_atom14
    | $false ),
    inference(fold_definition,[status(thm)],[fc12_relat_1_2,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ( lhs_atom15
  <=> v1_relat_1(k1_xboole_0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[fc12_relat_1_1,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ( lhs_atom16
  <=> v1_xboole_0(k1_xboole_0) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ( lhs_atom16
    | $false ),
    inference(fold_definition,[status(thm)],[fc12_relat_1_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [A] :
      ( lhs_atom17(A)
    <=> ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [A] :
      ( lhs_atom17(A)
      | $false ),
    inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [B,A] :
      ( lhs_atom18(B,A)
    <=> v1_relat_1(k2_zfmisc_1(A,B)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [A,B] :
      ( lhs_atom18(B,A)
      | $false ),
    inference(fold_definition,[status(thm)],[fc1_sysrel_0,def_lhs_atom18]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[fc4_relat_1_1,def_lhs_atom15]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom16
    | $false ),
    inference(fold_definition,[status(thm)],[fc4_relat_1_0,def_lhs_atom16]) ).

fof(def_lhs_atom19,axiom,
    ! [B,A] :
      ( lhs_atom19(B,A)
    <=> ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ! [A,B] :
      ( lhs_atom19(B,A)
      | ~ ( ~ v1_xboole_0(A)
          & ~ v1_xboole_0(B) ) ),
    inference(fold_definition,[status(thm)],[fc4_subset_1_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [A] :
      ( lhs_atom20(A)
    <=> v1_xboole_0(A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [A] :
      ( lhs_atom20(A)
      | ? [B] :
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ),
    inference(fold_definition,[status(thm)],[rc1_subset_1_0,def_lhs_atom20]) ).

fof(to_be_clausified_28,plain,
    ! [A,B,C,D] :
      ( lhs_atom7(C,B,A)
      | k4_relset_2(A,B,C,D) = k9_relat_1(C,D) ),
    inference(fold_definition,[status(thm)],[redefinition_k4_relset_2_0,def_lhs_atom7]) ).

fof(to_be_clausified_29,plain,
    ! [A,B,C] :
      ( lhs_atom9(C,B,A)
      | k6_relset_2(A,B,C) = k5_relset_2(B,C) ),
    inference(fold_definition,[status(thm)],[redefinition_k6_relset_2_0,def_lhs_atom9]) ).

fof(def_lhs_atom21,axiom,
    ! [D,C,B,A] :
      ( lhs_atom21(D,C,B,A)
    <=> k8_relset_2(A,B,C,D) = k7_relset_2(A,B,C,D) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [A,B,C,D] :
      ( lhs_atom21(D,C,B,A)
      | ~ ( m1_subset_1(C,k1_zfmisc_1(A))
          & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    inference(fold_definition,[status(thm)],[redefinition_k8_relset_2_0,def_lhs_atom21]) ).

fof(to_be_clausified_31,plain,
    ! [A,B,C] :
      ( lhs_atom13(C,B,A)
      | m1_relset_1(C,A,B) ),
    inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_1,def_lhs_atom13]) ).

fof(def_lhs_atom22,axiom,
    ! [C,B,A] :
      ( lhs_atom22(C,B,A)
    <=> m2_relset_1(C,A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [A,B,C] :
      ( lhs_atom22(C,B,A)
      | ~ m1_relset_1(C,A,B) ),
    inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [A] :
      ( lhs_atom23(A)
    <=> r1_tarski(A,A) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ! [A] :
      ( lhs_atom23(A)
      | $false ),
    inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [F,E,D,C,B,A] :
      ( lhs_atom24(F,E,D,C,B,A)
    <=> m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [A,B,C,D,E,F] :
      ( lhs_atom24(F,E,D,C,B,A)
      | ~ ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
          & m1_subset_1(F,k1_zfmisc_1(D)) ) ),
    inference(fold_definition,[status(thm)],[s8_domain_1__e1_46__relset_2_0,def_lhs_atom24]) ).

fof(to_be_clausified_35,plain,
    ! [A,B] :
      ( lhs_atom1(B,A)
      | m1_subset_1(A,B) ),
    inference(fold_definition,[status(thm)],[t1_subset_0,def_lhs_atom1]) ).

fof(def_lhs_atom25,axiom,
    ! [B,A] :
      ( lhs_atom25(B,A)
    <=> ~ m1_subset_1(A,B) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [A,B] :
      ( lhs_atom25(B,A)
      | v1_xboole_0(B)
      | r2_hidden(A,B) ),
    inference(fold_definition,[status(thm)],[t2_subset_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [B,A] :
      ( lhs_atom26(B,A)
    <=> A = B ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [A,B] :
      ( lhs_atom26(B,A)
      | ~ ! [C] :
            ( r2_hidden(C,A)
          <=> r2_hidden(C,B) ) ),
    inference(fold_definition,[status(thm)],[t2_tarski_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [B,A] :
      ( lhs_atom27(B,A)
    <=> ~ m1_subset_1(A,k1_zfmisc_1(B)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [A,B] :
      ( lhs_atom27(B,A)
      | r1_tarski(A,B) ),
    inference(fold_definition,[status(thm)],[t3_subset_1,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [B,A] :
      ( lhs_atom28(B,A)
    <=> m1_subset_1(A,k1_zfmisc_1(B)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [A,B] :
      ( lhs_atom28(B,A)
      | ~ r1_tarski(A,B) ),
    inference(fold_definition,[status(thm)],[t3_subset_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [C,A] :
      ( lhs_atom29(C,A)
    <=> m1_subset_1(A,C) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [A,B,C] :
      ( lhs_atom29(C,A)
      | ~ ( r2_hidden(A,B)
          & m1_subset_1(B,k1_zfmisc_1(C)) ) ),
    inference(fold_definition,[status(thm)],[t4_subset_0,def_lhs_atom29]) ).

fof(to_be_clausified_41,plain,
    ! [A] :
      ( lhs_atom2(A)
      | A = k1_xboole_0 ),
    inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom2]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X5,X6,X4,X3,X1,X2] :
      ( lhs_atom24(X5,X6,X4,X3,X1,X2)
      | ~ ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X1))))
          & m1_subset_1(X5,k1_zfmisc_1(X4)) ) ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_1,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom4(X3,X2)
      | ! [X4] :
          ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
         => k7_relset_2(X2,X1,X3,X4) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X2),X1,k6_relset_2(X1,X2,X4),k3_pua2mss1(X3))) ) ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_2,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom7(X3,X1,X2)
      | m1_subset_1(k4_relset_2(X2,X1,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_3,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom21(X4,X3,X1,X2)
      | ~ ( m1_subset_1(X3,k1_zfmisc_1(X2))
          & m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ) ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_4,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom10(X4,X3,X1,X2)
      | ~ ( m1_subset_1(X3,k1_zfmisc_1(X2))
          & m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ) ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_5,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom7(X3,X1,X2)
      | k4_relset_2(X2,X1,X3,X4) = k9_relat_1(X3,X4) ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_6,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom9(X3,X1,X2)
      | ( v1_funct_1(k6_relset_2(X2,X1,X3))
        & v1_funct_2(k6_relset_2(X2,X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(X2))
        & m2_relset_1(k6_relset_2(X2,X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(X2)) ) ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ( lhs_atom26(X1,X2)
      | ~ ! [X3] :
            ( r2_hidden(X3,X2)
          <=> r2_hidden(X3,X1) ) ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_8,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom22(X3,X1,X2)
      | ~ m1_relset_1(X3,X2,X1) ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_9,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom13(X3,X1,X2)
      | m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_10,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom9(X3,X1,X2)
      | k6_relset_2(X2,X1,X3) = k5_relset_2(X1,X3) ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_11,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom13(X3,X1,X2)
      | m1_relset_1(X3,X2,X1) ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_12,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom29(X3,X2)
      | ~ ( r2_hidden(X2,X1)
          & m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_13,axiom,
    ! [X1,X2] :
      ( lhs_atom11(X1,X2)
      | m1_subset_1(k8_setfam_1(X2,X1),k1_zfmisc_1(X2)) ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_14,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom3(X3,X1,X2)
      | v1_relat_1(X3) ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_15,axiom,
    ! [X1,X2] :
      ( lhs_atom12(X1,X2)
      | m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_16,axiom,
    ! [X1,X2] :
      ( lhs_atom28(X1,X2)
      | ~ r1_tarski(X2,X1) ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_17,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ r2_hidden(X1,X2) ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_18,axiom,
    ! [X1,X2] :
      ( lhs_atom8(X1)
      | ( v1_relat_1(k5_relset_2(X2,X1))
        & v1_funct_1(k5_relset_2(X2,X1)) ) ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_19,axiom,
    ! [X1,X2] :
      ( lhs_atom25(X1,X2)
      | v1_xboole_0(X1)
      | r2_hidden(X2,X1) ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_20,axiom,
    ! [X2] :
      ( lhs_atom20(X2)
      | ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(X2))
          & ~ v1_xboole_0(X1) ) ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_21,axiom,
    ! [X1,X2] :
      ( lhs_atom27(X1,X2)
      | r1_tarski(X2,X1) ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_22,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | m1_subset_1(X2,X1) ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_23,axiom,
    ! [X1,X2] :
      ( lhs_atom19(X1,X2)
      | ~ ( ~ v1_xboole_0(X2)
          & ~ v1_xboole_0(X1) ) ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_24,axiom,
    ! [X1,X2] :
      ( lhs_atom18(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_25,axiom,
    ! [X2] :
      ( lhs_atom2(X2)
      | v1_relat_1(X2) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_26,axiom,
    ! [X2] :
      ( lhs_atom2(X2)
      | X2 = k1_xboole_0 ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_27,axiom,
    ! [X2] :
      ( lhs_atom23(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_28,axiom,
    ! [X2] :
      ( lhs_atom17(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_29,axiom,
    ! [X2] :
      ( lhs_atom6(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_30,axiom,
    ( lhs_atom16
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_31,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_32,axiom,
    ( lhs_atom16
    | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_33,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_34,axiom,
    ( lhs_atom14
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_35,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_36,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_37,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_38,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_39,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_40,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_41,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_42,axiom,
    ! [X5,X6,X4,X3,X1,X2] :
      ( lhs_atom24(X5,X6,X4,X3,X1,X2)
      | ~ ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X1))))
          & m1_subset_1(X5,k1_zfmisc_1(X4)) ) ),
    c_0_0 ).

fof(c_0_43,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom4(X3,X2)
      | ! [X4] :
          ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
         => k7_relset_2(X2,X1,X3,X4) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X2),X1,k6_relset_2(X1,X2,X4),k3_pua2mss1(X3))) ) ),
    c_0_1 ).

fof(c_0_44,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom7(X3,X1,X2)
      | m1_subset_1(k4_relset_2(X2,X1,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    c_0_2 ).

fof(c_0_45,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom21(X4,X3,X1,X2)
      | ~ ( m1_subset_1(X3,k1_zfmisc_1(X2))
          & m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ) ),
    c_0_3 ).

fof(c_0_46,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom10(X4,X3,X1,X2)
      | ~ ( m1_subset_1(X3,k1_zfmisc_1(X2))
          & m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ) ),
    c_0_4 ).

fof(c_0_47,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom7(X3,X1,X2)
      | k4_relset_2(X2,X1,X3,X4) = k9_relat_1(X3,X4) ),
    c_0_5 ).

fof(c_0_48,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom9(X3,X1,X2)
      | ( v1_funct_1(k6_relset_2(X2,X1,X3))
        & v1_funct_2(k6_relset_2(X2,X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(X2))
        & m2_relset_1(k6_relset_2(X2,X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(X2)) ) ),
    c_0_6 ).

fof(c_0_49,axiom,
    ! [X1,X2] :
      ( lhs_atom26(X1,X2)
      | ~ ! [X3] :
            ( r2_hidden(X3,X2)
          <=> r2_hidden(X3,X1) ) ),
    c_0_7 ).

fof(c_0_50,plain,
    ! [X3,X1,X2] :
      ( lhs_atom22(X3,X1,X2)
      | ~ m1_relset_1(X3,X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_51,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom13(X3,X1,X2)
      | m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
    c_0_9 ).

fof(c_0_52,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom9(X3,X1,X2)
      | k6_relset_2(X2,X1,X3) = k5_relset_2(X1,X3) ),
    c_0_10 ).

fof(c_0_53,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom13(X3,X1,X2)
      | m1_relset_1(X3,X2,X1) ),
    c_0_11 ).

fof(c_0_54,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom29(X3,X2)
      | ~ ( r2_hidden(X2,X1)
          & m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
    c_0_12 ).

fof(c_0_55,axiom,
    ! [X1,X2] :
      ( lhs_atom11(X1,X2)
      | m1_subset_1(k8_setfam_1(X2,X1),k1_zfmisc_1(X2)) ),
    c_0_13 ).

fof(c_0_56,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom3(X3,X1,X2)
      | v1_relat_1(X3) ),
    c_0_14 ).

fof(c_0_57,axiom,
    ! [X1,X2] :
      ( lhs_atom12(X1,X2)
      | m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    c_0_15 ).

fof(c_0_58,plain,
    ! [X1,X2] :
      ( lhs_atom28(X1,X2)
      | ~ r1_tarski(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_59,plain,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ r2_hidden(X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_60,axiom,
    ! [X1,X2] :
      ( lhs_atom8(X1)
      | ( v1_relat_1(k5_relset_2(X2,X1))
        & v1_funct_1(k5_relset_2(X2,X1)) ) ),
    c_0_18 ).

fof(c_0_61,axiom,
    ! [X1,X2] :
      ( lhs_atom25(X1,X2)
      | v1_xboole_0(X1)
      | r2_hidden(X2,X1) ),
    c_0_19 ).

fof(c_0_62,plain,
    ! [X2] :
      ( lhs_atom20(X2)
      | ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(X2))
          & ~ v1_xboole_0(X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_63,axiom,
    ! [X1,X2] :
      ( lhs_atom27(X1,X2)
      | r1_tarski(X2,X1) ),
    c_0_21 ).

fof(c_0_64,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | m1_subset_1(X2,X1) ),
    c_0_22 ).

fof(c_0_65,plain,
    ! [X1,X2] :
      ( lhs_atom19(X1,X2)
      | ~ ( ~ v1_xboole_0(X2)
          & ~ v1_xboole_0(X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_66,plain,
    ! [X1,X2] : lhs_atom18(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_67,axiom,
    ! [X2] :
      ( lhs_atom2(X2)
      | v1_relat_1(X2) ),
    c_0_25 ).

fof(c_0_68,axiom,
    ! [X2] :
      ( lhs_atom2(X2)
      | X2 = k1_xboole_0 ),
    c_0_26 ).

fof(c_0_69,plain,
    ! [X2] : lhs_atom23(X2),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_70,plain,
    ! [X2] : lhs_atom17(X2),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_71,plain,
    ! [X2] : lhs_atom6(X2),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_72,plain,
    lhs_atom16,
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_73,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_74,plain,
    lhs_atom16,
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_75,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_76,plain,
    lhs_atom14,
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_77,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_78,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_79,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_80,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_81,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_82,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_83,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_84,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( lhs_atom24(X7,X8,X9,X10,X11,X12)
      | ~ m1_subset_1(X10,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X12,X11))))
      | ~ m1_subset_1(X7,k1_zfmisc_1(X9)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).

fof(c_0_85,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom4(X5,X7)
      | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X7,X6)))
      | k7_relset_2(X7,X6,X5,X8) = k8_setfam_1(X6,k4_relset_2(k1_zfmisc_1(X7),X6,k6_relset_2(X6,X7,X8),k3_pua2mss1(X5))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

fof(c_0_86,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom7(X6,X7,X8)
      | m1_subset_1(k4_relset_2(X8,X7,X6,X5),k1_zfmisc_1(k1_zfmisc_1(X7))) ),
    inference(variable_rename,[status(thm)],[c_0_44]) ).

fof(c_0_87,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom21(X5,X6,X7,X8)
      | ~ m1_subset_1(X6,k1_zfmisc_1(X8))
      | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X8,X7))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).

fof(c_0_88,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom10(X5,X6,X7,X8)
      | ~ m1_subset_1(X6,k1_zfmisc_1(X8))
      | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X8,X7))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).

fof(c_0_89,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom7(X6,X7,X8)
      | k4_relset_2(X8,X7,X6,X5) = k9_relat_1(X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_47]) ).

fof(c_0_90,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(k6_relset_2(X6,X5,X4))
        | lhs_atom9(X4,X5,X6) )
      & ( v1_funct_2(k6_relset_2(X6,X5,X4),k1_zfmisc_1(X5),k1_zfmisc_1(X6))
        | lhs_atom9(X4,X5,X6) )
      & ( m2_relset_1(k6_relset_2(X6,X5,X4),k1_zfmisc_1(X5),k1_zfmisc_1(X6))
        | lhs_atom9(X4,X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).

fof(c_0_91,plain,
    ! [X4,X5] :
      ( ( ~ r2_hidden(esk2_2(X4,X5),X5)
        | ~ r2_hidden(esk2_2(X4,X5),X4)
        | lhs_atom26(X4,X5) )
      & ( r2_hidden(esk2_2(X4,X5),X5)
        | r2_hidden(esk2_2(X4,X5),X4)
        | lhs_atom26(X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).

fof(c_0_92,plain,
    ! [X4,X5,X6] :
      ( lhs_atom22(X4,X5,X6)
      | ~ m1_relset_1(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_50]) ).

fof(c_0_93,plain,
    ! [X4,X5,X6] :
      ( lhs_atom13(X4,X5,X6)
      | m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X6,X5))) ),
    inference(variable_rename,[status(thm)],[c_0_51]) ).

fof(c_0_94,plain,
    ! [X4,X5,X6] :
      ( lhs_atom9(X4,X5,X6)
      | k6_relset_2(X6,X5,X4) = k5_relset_2(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_52]) ).

fof(c_0_95,plain,
    ! [X4,X5,X6] :
      ( lhs_atom13(X4,X5,X6)
      | m1_relset_1(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_53]) ).

fof(c_0_96,plain,
    ! [X4,X5,X6] :
      ( lhs_atom29(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_54])]) ).

fof(c_0_97,plain,
    ! [X3,X4] :
      ( lhs_atom11(X3,X4)
      | m1_subset_1(k8_setfam_1(X4,X3),k1_zfmisc_1(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_55]) ).

fof(c_0_98,plain,
    ! [X4,X5,X6] :
      ( lhs_atom3(X4,X5,X6)
      | v1_relat_1(X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_56])])]) ).

fof(c_0_99,plain,
    ! [X3,X4] :
      ( lhs_atom12(X3,X4)
      | m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X4))) ),
    inference(variable_rename,[status(thm)],[c_0_57]) ).

fof(c_0_100,plain,
    ! [X3,X4] :
      ( lhs_atom28(X3,X4)
      | ~ r1_tarski(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_58]) ).

fof(c_0_101,plain,
    ! [X3,X4] :
      ( lhs_atom1(X3,X4)
      | ~ r2_hidden(X3,X4) ),
    inference(variable_rename,[status(thm)],[c_0_59]) ).

fof(c_0_102,plain,
    ! [X3,X4,X5] :
      ( ( v1_relat_1(k5_relset_2(X4,X3))
        | lhs_atom8(X3) )
      & ( v1_funct_1(k5_relset_2(X5,X3))
        | lhs_atom8(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_60])])])]) ).

fof(c_0_103,plain,
    ! [X3,X4] :
      ( lhs_atom25(X3,X4)
      | v1_xboole_0(X3)
      | r2_hidden(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_61]) ).

fof(c_0_104,plain,
    ! [X3] :
      ( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(X3))
        | lhs_atom20(X3) )
      & ( ~ v1_xboole_0(esk1_1(X3))
        | lhs_atom20(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_62])])]) ).

fof(c_0_105,plain,
    ! [X3,X4] :
      ( lhs_atom27(X3,X4)
      | r1_tarski(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_63]) ).

fof(c_0_106,plain,
    ! [X3,X4] :
      ( lhs_atom1(X3,X4)
      | m1_subset_1(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_64]) ).

fof(c_0_107,plain,
    ! [X3,X4] :
      ( lhs_atom19(X3,X4)
      | v1_xboole_0(X4)
      | v1_xboole_0(X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).

fof(c_0_108,plain,
    ! [X3,X4] : lhs_atom18(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_66]) ).

fof(c_0_109,plain,
    ! [X3] :
      ( lhs_atom2(X3)
      | v1_relat_1(X3) ),
    inference(variable_rename,[status(thm)],[c_0_67]) ).

fof(c_0_110,plain,
    ! [X3] :
      ( lhs_atom2(X3)
      | X3 = k1_xboole_0 ),
    inference(variable_rename,[status(thm)],[c_0_68]) ).

fof(c_0_111,plain,
    ! [X3] : lhs_atom23(X3),
    inference(variable_rename,[status(thm)],[c_0_69]) ).

fof(c_0_112,plain,
    ! [X3] : lhs_atom17(X3),
    inference(variable_rename,[status(thm)],[c_0_70]) ).

fof(c_0_113,plain,
    ! [X3] : lhs_atom6(X3),
    inference(variable_rename,[status(thm)],[c_0_71]) ).

fof(c_0_114,plain,
    lhs_atom16,
    c_0_72 ).

fof(c_0_115,plain,
    lhs_atom15,
    c_0_73 ).

fof(c_0_116,plain,
    lhs_atom16,
    c_0_74 ).

fof(c_0_117,plain,
    lhs_atom15,
    c_0_75 ).

fof(c_0_118,plain,
    lhs_atom14,
    c_0_76 ).

fof(c_0_119,plain,
    lhs_atom5,
    c_0_77 ).

fof(c_0_120,plain,
    lhs_atom5,
    c_0_78 ).

fof(c_0_121,plain,
    lhs_atom5,
    c_0_79 ).

fof(c_0_122,plain,
    lhs_atom5,
    c_0_80 ).

fof(c_0_123,plain,
    lhs_atom5,
    c_0_81 ).

fof(c_0_124,plain,
    lhs_atom5,
    c_0_82 ).

fof(c_0_125,plain,
    lhs_atom5,
    c_0_83 ).

cnf(c_0_126,plain,
    ( lhs_atom24(X1,X6,X2,X3,X5,X4)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5)))) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_127,plain,
    ( k7_relset_2(X1,X2,X3,X4) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3)))
    | lhs_atom4(X3,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_128,plain,
    ( m1_subset_1(k4_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
    | lhs_atom7(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_129,plain,
    ( lhs_atom21(X1,X4,X3,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_130,plain,
    ( lhs_atom10(X1,X4,X3,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_131,plain,
    ( k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | lhs_atom7(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_132,plain,
    ( lhs_atom9(X1,X2,X3)
    | v1_funct_2(k6_relset_2(X3,X2,X1),k1_zfmisc_1(X2),k1_zfmisc_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_133,plain,
    ( lhs_atom9(X1,X2,X3)
    | m2_relset_1(k6_relset_2(X3,X2,X1),k1_zfmisc_1(X2),k1_zfmisc_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_134,plain,
    ( lhs_atom9(X1,X2,X3)
    | v1_funct_1(k6_relset_2(X3,X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_135,plain,
    ( lhs_atom26(X1,X2)
    | ~ r2_hidden(esk2_2(X1,X2),X1)
    | ~ r2_hidden(esk2_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_136,plain,
    ( lhs_atom22(X1,X3,X2)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_137,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | lhs_atom13(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_138,plain,
    ( k6_relset_2(X1,X2,X3) = k5_relset_2(X2,X3)
    | lhs_atom9(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_139,plain,
    ( m1_relset_1(X1,X2,X3)
    | lhs_atom13(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_140,plain,
    ( lhs_atom26(X1,X2)
    | r2_hidden(esk2_2(X1,X2),X1)
    | r2_hidden(esk2_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_141,plain,
    ( lhs_atom29(X2,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r2_hidden(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_142,plain,
    ( m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1))
    | lhs_atom11(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_143,plain,
    ( v1_relat_1(X1)
    | lhs_atom3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_144,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | lhs_atom12(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_145,plain,
    ( lhs_atom28(X2,X1)
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_146,plain,
    ( lhs_atom1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_147,plain,
    ( lhs_atom8(X1)
    | v1_relat_1(k5_relset_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_148,plain,
    ( lhs_atom8(X1)
    | v1_funct_1(k5_relset_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_149,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | lhs_atom25(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_150,plain,
    ( lhs_atom20(X1)
    | m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_151,plain,
    ( r1_tarski(X1,X2)
    | lhs_atom27(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_152,plain,
    ( m1_subset_1(X1,X2)
    | lhs_atom1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_153,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | lhs_atom19(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_154,plain,
    ( lhs_atom20(X1)
    | ~ v1_xboole_0(esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_155,plain,
    lhs_atom18(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_156,plain,
    ( v1_relat_1(X1)
    | lhs_atom2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_157,plain,
    ( X1 = k1_xboole_0
    | lhs_atom2(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_158,plain,
    lhs_atom23(X1),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_159,plain,
    lhs_atom17(X1),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_160,plain,
    lhs_atom6(X1),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_161,plain,
    lhs_atom16,
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_162,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_163,plain,
    lhs_atom16,
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_164,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_165,plain,
    lhs_atom14,
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_166,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_167,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_168,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_169,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_170,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_171,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_172,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_173,plain,
    ( lhs_atom24(X1,X6,X2,X3,X5,X4)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5)))) ),
    c_0_126,
    [final] ).

cnf(c_0_174,plain,
    ( k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3))) = k7_relset_2(X1,X2,X3,X4)
    | lhs_atom4(X3,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    c_0_127,
    [final] ).

cnf(c_0_175,plain,
    ( m1_subset_1(k4_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2)))
    | lhs_atom7(X3,X2,X1) ),
    c_0_128,
    [final] ).

cnf(c_0_176,plain,
    ( lhs_atom21(X1,X4,X3,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
    c_0_129,
    [final] ).

cnf(c_0_177,plain,
    ( lhs_atom10(X1,X4,X3,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
    c_0_130,
    [final] ).

cnf(c_0_178,plain,
    ( k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | lhs_atom7(X3,X2,X1) ),
    c_0_131,
    [final] ).

cnf(c_0_179,plain,
    ( lhs_atom9(X1,X2,X3)
    | v1_funct_2(k6_relset_2(X3,X2,X1),k1_zfmisc_1(X2),k1_zfmisc_1(X3)) ),
    c_0_132,
    [final] ).

cnf(c_0_180,plain,
    ( lhs_atom9(X1,X2,X3)
    | m2_relset_1(k6_relset_2(X3,X2,X1),k1_zfmisc_1(X2),k1_zfmisc_1(X3)) ),
    c_0_133,
    [final] ).

cnf(c_0_181,plain,
    ( lhs_atom9(X1,X2,X3)
    | v1_funct_1(k6_relset_2(X3,X2,X1)) ),
    c_0_134,
    [final] ).

cnf(c_0_182,plain,
    ( lhs_atom26(X1,X2)
    | ~ r2_hidden(esk2_2(X1,X2),X1)
    | ~ r2_hidden(esk2_2(X1,X2),X2) ),
    c_0_135,
    [final] ).

cnf(c_0_183,plain,
    ( lhs_atom22(X1,X3,X2)
    | ~ m1_relset_1(X1,X2,X3) ),
    c_0_136,
    [final] ).

cnf(c_0_184,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | lhs_atom13(X1,X3,X2) ),
    c_0_137,
    [final] ).

cnf(c_0_185,plain,
    ( k6_relset_2(X1,X2,X3) = k5_relset_2(X2,X3)
    | lhs_atom9(X3,X2,X1) ),
    c_0_138,
    [final] ).

cnf(c_0_186,plain,
    ( m1_relset_1(X1,X2,X3)
    | lhs_atom13(X1,X3,X2) ),
    c_0_139,
    [final] ).

cnf(c_0_187,plain,
    ( lhs_atom26(X1,X2)
    | r2_hidden(esk2_2(X1,X2),X1)
    | r2_hidden(esk2_2(X1,X2),X2) ),
    c_0_140,
    [final] ).

cnf(c_0_188,plain,
    ( lhs_atom29(X2,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r2_hidden(X3,X1) ),
    c_0_141,
    [final] ).

cnf(c_0_189,plain,
    ( m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1))
    | lhs_atom11(X2,X1) ),
    c_0_142,
    [final] ).

cnf(c_0_190,plain,
    ( v1_relat_1(X1)
    | lhs_atom3(X1,X2,X3) ),
    c_0_143,
    [final] ).

cnf(c_0_191,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | lhs_atom12(X1,X2) ),
    c_0_144,
    [final] ).

cnf(c_0_192,plain,
    ( lhs_atom28(X2,X1)
    | ~ r1_tarski(X1,X2) ),
    c_0_145,
    [final] ).

cnf(c_0_193,plain,
    ( lhs_atom1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    c_0_146,
    [final] ).

cnf(c_0_194,plain,
    ( lhs_atom8(X1)
    | v1_relat_1(k5_relset_2(X2,X1)) ),
    c_0_147,
    [final] ).

cnf(c_0_195,plain,
    ( lhs_atom8(X1)
    | v1_funct_1(k5_relset_2(X2,X1)) ),
    c_0_148,
    [final] ).

cnf(c_0_196,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | lhs_atom25(X2,X1) ),
    c_0_149,
    [final] ).

cnf(c_0_197,plain,
    ( lhs_atom20(X1)
    | m1_subset_1(esk1_1(X1),k1_zfmisc_1(X1)) ),
    c_0_150,
    [final] ).

cnf(c_0_198,plain,
    ( r1_tarski(X1,X2)
    | lhs_atom27(X2,X1) ),
    c_0_151,
    [final] ).

cnf(c_0_199,plain,
    ( m1_subset_1(X1,X2)
    | lhs_atom1(X2,X1) ),
    c_0_152,
    [final] ).

cnf(c_0_200,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | lhs_atom19(X1,X2) ),
    c_0_153,
    [final] ).

cnf(c_0_201,plain,
    ( lhs_atom20(X1)
    | ~ v1_xboole_0(esk1_1(X1)) ),
    c_0_154,
    [final] ).

cnf(c_0_202,plain,
    lhs_atom18(X1,X2),
    c_0_155,
    [final] ).

cnf(c_0_203,plain,
    ( v1_relat_1(X1)
    | lhs_atom2(X1) ),
    c_0_156,
    [final] ).

cnf(c_0_204,plain,
    ( X1 = k1_xboole_0
    | lhs_atom2(X1) ),
    c_0_157,
    [final] ).

cnf(c_0_205,plain,
    lhs_atom23(X1),
    c_0_158,
    [final] ).

cnf(c_0_206,plain,
    lhs_atom17(X1),
    c_0_159,
    [final] ).

cnf(c_0_207,plain,
    lhs_atom6(X1),
    c_0_160,
    [final] ).

cnf(c_0_208,plain,
    lhs_atom16,
    c_0_161,
    [final] ).

cnf(c_0_209,plain,
    lhs_atom15,
    c_0_162,
    [final] ).

cnf(c_0_210,plain,
    lhs_atom16,
    c_0_163,
    [final] ).

cnf(c_0_211,plain,
    lhs_atom15,
    c_0_164,
    [final] ).

cnf(c_0_212,plain,
    lhs_atom14,
    c_0_165,
    [final] ).

cnf(c_0_213,plain,
    lhs_atom5,
    c_0_166,
    [final] ).

cnf(c_0_214,plain,
    lhs_atom5,
    c_0_167,
    [final] ).

cnf(c_0_215,plain,
    lhs_atom5,
    c_0_168,
    [final] ).

cnf(c_0_216,plain,
    lhs_atom5,
    c_0_169,
    [final] ).

cnf(c_0_217,plain,
    lhs_atom5,
    c_0_170,
    [final] ).

cnf(c_0_218,plain,
    lhs_atom5,
    c_0_171,
    [final] ).

cnf(c_0_219,plain,
    lhs_atom5,
    c_0_172,
    [final] ).

% End CNF derivation
cnf(c_0_173_0,axiom,
    ( m1_subset_1(a_6_0_relset_2(X4,X5,X3,X2,X6,X1),k1_zfmisc_1(k1_zfmisc_1(X6)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5)))) ),
    inference(unfold_definition,[status(thm)],[c_0_173,def_lhs_atom24]) ).

cnf(c_0_174_0,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3))) = k7_relset_2(X1,X2,X3,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    inference(unfold_definition,[status(thm)],[c_0_174,def_lhs_atom4]) ).

cnf(c_0_175_0,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
    | m1_subset_1(k4_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(unfold_definition,[status(thm)],[c_0_175,def_lhs_atom7]) ).

cnf(c_0_176_0,axiom,
    ( k8_relset_2(X2,X3,X4,X1) = k7_relset_2(X2,X3,X4,X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_176,def_lhs_atom21]) ).

cnf(c_0_177_0,axiom,
    ( m1_subset_1(k8_relset_2(X2,X3,X4,X1),k1_zfmisc_1(X3))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
    inference(unfold_definition,[status(thm)],[c_0_177,def_lhs_atom10]) ).

cnf(c_0_178_0,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
    | k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom7]) ).

cnf(c_0_179_0,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | v1_funct_2(k6_relset_2(X3,X2,X1),k1_zfmisc_1(X2),k1_zfmisc_1(X3)) ),
    inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom9]) ).

cnf(c_0_180_0,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | m2_relset_1(k6_relset_2(X3,X2,X1),k1_zfmisc_1(X2),k1_zfmisc_1(X3)) ),
    inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom9]) ).

cnf(c_0_181_0,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | v1_funct_1(k6_relset_2(X3,X2,X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom9]) ).

cnf(c_0_182_0,axiom,
    ( X2 = X1
    | ~ r2_hidden(sk1_esk2_2(X1,X2),X1)
    | ~ r2_hidden(sk1_esk2_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom26]) ).

cnf(c_0_183_0,axiom,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_183,def_lhs_atom22]) ).

cnf(c_0_184_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_184,def_lhs_atom13]) ).

cnf(c_0_185_0,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
    | k6_relset_2(X1,X2,X3) = k5_relset_2(X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom9]) ).

cnf(c_0_186_0,axiom,
    ( ~ m2_relset_1(X1,X2,X3)
    | m1_relset_1(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_186,def_lhs_atom13]) ).

cnf(c_0_187_0,axiom,
    ( X2 = X1
    | r2_hidden(sk1_esk2_2(X1,X2),X1)
    | r2_hidden(sk1_esk2_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom26]) ).

cnf(c_0_188_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_188,def_lhs_atom29]) ).

cnf(c_0_189_0,axiom,
    ( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
    | m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_189,def_lhs_atom11]) ).

cnf(c_0_190_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_190,def_lhs_atom3]) ).

cnf(c_0_191_0,axiom,
    ( ~ m1_eqrel_1(X1,X2)
    | m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom12]) ).

cnf(c_0_192_0,axiom,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom28]) ).

cnf(c_0_193_0,axiom,
    ( ~ r2_hidden(X2,X1)
    | ~ r2_hidden(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom1]) ).

cnf(c_0_194_0,axiom,
    ( ~ v1_relat_1(X1)
    | v1_relat_1(k5_relset_2(X2,X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom8]) ).

cnf(c_0_195_0,axiom,
    ( ~ v1_relat_1(X1)
    | v1_funct_1(k5_relset_2(X2,X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom8]) ).

cnf(c_0_196_0,axiom,
    ( ~ m1_subset_1(X1,X2)
    | r2_hidden(X1,X2)
    | v1_xboole_0(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_196,def_lhs_atom25]) ).

cnf(c_0_197_0,axiom,
    ( v1_xboole_0(X1)
    | m1_subset_1(sk1_esk1_1(X1),k1_zfmisc_1(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_197,def_lhs_atom20]) ).

cnf(c_0_198_0,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r1_tarski(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom27]) ).

cnf(c_0_199_0,axiom,
    ( ~ r2_hidden(X1,X2)
    | m1_subset_1(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom1]) ).

cnf(c_0_200_0,axiom,
    ( ~ v1_xboole_0(k2_zfmisc_1(X2,X1))
    | v1_xboole_0(X1)
    | v1_xboole_0(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_200,def_lhs_atom19]) ).

cnf(c_0_201_0,axiom,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(sk1_esk1_1(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_201,def_lhs_atom20]) ).

cnf(c_0_203_0,axiom,
    ( ~ v1_xboole_0(X1)
    | v1_relat_1(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_203,def_lhs_atom2]) ).

cnf(c_0_204_0,axiom,
    ( ~ v1_xboole_0(X1)
    | X1 = k1_xboole_0 ),
    inference(unfold_definition,[status(thm)],[c_0_204,def_lhs_atom2]) ).

cnf(c_0_202_0,axiom,
    v1_relat_1(k2_zfmisc_1(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_202,def_lhs_atom18]) ).

cnf(c_0_205_0,axiom,
    r1_tarski(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_205,def_lhs_atom23]) ).

cnf(c_0_206_0,axiom,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(unfold_definition,[status(thm)],[c_0_206,def_lhs_atom17]) ).

cnf(c_0_207_0,axiom,
    m1_eqrel_1(k3_pua2mss1(X1),X1),
    inference(unfold_definition,[status(thm)],[c_0_207,def_lhs_atom6]) ).

cnf(c_0_208_0,axiom,
    v1_xboole_0(k1_xboole_0),
    inference(unfold_definition,[status(thm)],[c_0_208,def_lhs_atom16]) ).

cnf(c_0_209_0,axiom,
    v1_relat_1(k1_xboole_0),
    inference(unfold_definition,[status(thm)],[c_0_209,def_lhs_atom15]) ).

cnf(c_0_210_0,axiom,
    v1_xboole_0(k1_xboole_0),
    inference(unfold_definition,[status(thm)],[c_0_210,def_lhs_atom16]) ).

cnf(c_0_211_0,axiom,
    v1_relat_1(k1_xboole_0),
    inference(unfold_definition,[status(thm)],[c_0_211,def_lhs_atom15]) ).

cnf(c_0_212_0,axiom,
    v3_relat_1(k1_xboole_0),
    inference(unfold_definition,[status(thm)],[c_0_212,def_lhs_atom14]) ).

cnf(c_0_213_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_213,def_lhs_atom5]) ).

cnf(c_0_214_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_214,def_lhs_atom5]) ).

cnf(c_0_215_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_215,def_lhs_atom5]) ).

cnf(c_0_216_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_216,def_lhs_atom5]) ).

cnf(c_0_217_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_217,def_lhs_atom5]) ).

cnf(c_0_218_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_218,def_lhs_atom5]) ).

cnf(c_0_219_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_219,def_lhs_atom5]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7] :
      ( ( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3))))
        & m1_subset_1(X7,k1_zfmisc_1(X5)) )
     => ( r2_hidden(X1,a_6_0_relset_2(X2,X3,X4,X5,X6,X7))
      <=> ? [X8] :
            ( m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
            & X1 = k8_relset_2(X5,X6,X7,X8)
            & r2_hidden(X8,X4) ) ) ),
    file('<stdin>',fraenkel_a_6_0_relset_2) ).

fof(c_0_1_002,axiom,
    ! [X1,X2] :
    ? [X3] : m1_relset_1(X3,X1,X2),
    file('<stdin>',existence_m1_relset_1) ).

fof(c_0_2_003,axiom,
    ! [X1,X2] :
    ? [X3] : m2_relset_1(X3,X1,X2),
    file('<stdin>',existence_m2_relset_1) ).

fof(c_0_3_004,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_4_005,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_5_006,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    file('<stdin>',t7_boole) ).

fof(c_0_6_007,axiom,
    ! [X1] :
    ? [X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
      & v1_xboole_0(X2) ),
    file('<stdin>',rc2_subset_1) ).

fof(c_0_7_008,axiom,
    ! [X1] :
    ? [X2] : m1_eqrel_1(X2,X1),
    file('<stdin>',existence_m1_eqrel_1) ).

fof(c_0_8_009,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    file('<stdin>',existence_m1_subset_1) ).

fof(c_0_9_010,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    file('<stdin>',t8_boole) ).

fof(c_0_10_011,axiom,
    ? [X1] :
      ( ~ v1_xboole_0(X1)
      & v1_relat_1(X1) ),
    file('<stdin>',rc2_relat_1) ).

fof(c_0_11_012,axiom,
    ? [X1] :
      ( v1_xboole_0(X1)
      & v1_relat_1(X1) ),
    file('<stdin>',rc1_relat_1) ).

fof(c_0_12_013,axiom,
    ? [X1] :
      ( v1_relat_1(X1)
      & v3_relat_1(X1) ),
    file('<stdin>',rc3_relat_1) ).

fof(c_0_13_014,axiom,
    ! [X1,X2,X3,X4,X5,X6,X7] :
      ( ( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3))))
        & m1_subset_1(X7,k1_zfmisc_1(X5)) )
     => ( r2_hidden(X1,a_6_0_relset_2(X2,X3,X4,X5,X6,X7))
      <=> ? [X8] :
            ( m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
            & X1 = k8_relset_2(X5,X6,X7,X8)
            & r2_hidden(X8,X4) ) ) ),
    c_0_0 ).

fof(c_0_14_015,axiom,
    ! [X1,X2] :
    ? [X3] : m1_relset_1(X3,X1,X2),
    c_0_1 ).

fof(c_0_15_016,axiom,
    ! [X1,X2] :
    ? [X3] : m2_relset_1(X3,X1,X2),
    c_0_2 ).

fof(c_0_16_017,axiom,
    ! [X1,X2] :
    ? [X3] :
      ( m1_relset_1(X3,X1,X2)
      & v1_relat_1(X3)
      & v1_funct_1(X3) ),
    c_0_3 ).

fof(c_0_17_018,axiom,
    ! [X1,X2,X3] :
      ~ ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3))
        & v1_xboole_0(X3) ),
    c_0_4 ).

fof(c_0_18_019,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    c_0_5 ).

fof(c_0_19_020,axiom,
    ! [X1] :
    ? [X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
      & v1_xboole_0(X2) ),
    c_0_6 ).

fof(c_0_20_021,axiom,
    ! [X1] :
    ? [X2] : m1_eqrel_1(X2,X1),
    c_0_7 ).

fof(c_0_21_022,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    c_0_8 ).

fof(c_0_22_023,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    c_0_9 ).

fof(c_0_23_024,plain,
    ? [X1] :
      ( ~ v1_xboole_0(X1)
      & v1_relat_1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_24_025,axiom,
    ? [X1] :
      ( v1_xboole_0(X1)
      & v1_relat_1(X1) ),
    c_0_11 ).

fof(c_0_25_026,axiom,
    ? [X1] :
      ( v1_relat_1(X1)
      & v3_relat_1(X1) ),
    c_0_12 ).

fof(c_0_26_027,plain,
    ! [X9,X10,X11,X12,X13,X14,X15,X17] :
      ( ( m1_subset_1(esk6_7(X9,X10,X11,X12,X13,X14,X15),k1_zfmisc_1(k2_zfmisc_1(X13,X14)))
        | ~ r2_hidden(X9,a_6_0_relset_2(X10,X11,X12,X13,X14,X15))
        | ~ m1_subset_1(X12,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X10,X11))))
        | ~ m1_subset_1(X15,k1_zfmisc_1(X13)) )
      & ( X9 = k8_relset_2(X13,X14,X15,esk6_7(X9,X10,X11,X12,X13,X14,X15))
        | ~ r2_hidden(X9,a_6_0_relset_2(X10,X11,X12,X13,X14,X15))
        | ~ m1_subset_1(X12,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X10,X11))))
        | ~ m1_subset_1(X15,k1_zfmisc_1(X13)) )
      & ( r2_hidden(esk6_7(X9,X10,X11,X12,X13,X14,X15),X12)
        | ~ r2_hidden(X9,a_6_0_relset_2(X10,X11,X12,X13,X14,X15))
        | ~ m1_subset_1(X12,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X10,X11))))
        | ~ m1_subset_1(X15,k1_zfmisc_1(X13)) )
      & ( ~ m1_subset_1(X17,k1_zfmisc_1(k2_zfmisc_1(X13,X14)))
        | X9 != k8_relset_2(X13,X14,X15,X17)
        | ~ r2_hidden(X17,X12)
        | r2_hidden(X9,a_6_0_relset_2(X10,X11,X12,X13,X14,X15))
        | ~ m1_subset_1(X12,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X10,X11))))
        | ~ m1_subset_1(X15,k1_zfmisc_1(X13)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

fof(c_0_27_028,plain,
    ! [X4,X5] : m1_relset_1(esk9_2(X4,X5),X4,X5),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).

fof(c_0_28_029,plain,
    ! [X4,X5] : m2_relset_1(esk7_2(X4,X5),X4,X5),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).

fof(c_0_29_030,plain,
    ! [X4,X5] :
      ( m1_relset_1(esk4_2(X4,X5),X4,X5)
      & v1_relat_1(esk4_2(X4,X5))
      & v1_funct_1(esk4_2(X4,X5)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])]) ).

fof(c_0_30_031,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_17])])])]) ).

fof(c_0_31_032,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | ~ v1_xboole_0(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).

fof(c_0_32_033,plain,
    ! [X3] :
      ( m1_subset_1(esk2_1(X3),k1_zfmisc_1(X3))
      & v1_xboole_0(esk2_1(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).

fof(c_0_33_034,plain,
    ! [X3] : m1_eqrel_1(esk10_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_20])]) ).

fof(c_0_34_035,plain,
    ! [X3] : m1_subset_1(esk8_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])]) ).

fof(c_0_35_036,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_22])])])]) ).

fof(c_0_36_037,plain,
    ( ~ v1_xboole_0(esk3_0)
    & v1_relat_1(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_23])]) ).

fof(c_0_37_038,plain,
    ( v1_xboole_0(esk5_0)
    & v1_relat_1(esk5_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_24])]) ).

fof(c_0_38_039,plain,
    ( v1_relat_1(esk1_0)
    & v3_relat_1(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_25])]) ).

cnf(c_0_39_040,plain,
    ( X6 = k8_relset_2(X2,X7,X1,esk6_7(X6,X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40_041,plain,
    ( m1_subset_1(esk6_7(X6,X4,X5,X3,X2,X7,X1),k1_zfmisc_1(k2_zfmisc_1(X2,X7)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_41_042,plain,
    ( r2_hidden(esk6_7(X6,X4,X5,X3,X2,X7,X1),X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_42_043,plain,
    ( r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X8,X3)
    | X6 != k8_relset_2(X2,X7,X1,X8)
    | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X2,X7))) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_43_044,plain,
    m1_relset_1(esk9_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_44_045,plain,
    m2_relset_1(esk7_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_45_046,plain,
    m1_relset_1(esk4_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_46_047,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_47_048,plain,
    v1_relat_1(esk4_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_48_049,plain,
    v1_funct_1(esk4_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_49_050,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_50_051,plain,
    m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_51_052,plain,
    m1_eqrel_1(esk10_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_52_053,plain,
    m1_subset_1(esk8_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_53_054,plain,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_54_055,plain,
    v1_xboole_0(esk2_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_55_056,plain,
    ~ v1_xboole_0(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_56_057,plain,
    v1_xboole_0(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_57_058,plain,
    v1_relat_1(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_58_059,plain,
    v1_relat_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_59_060,plain,
    v1_relat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_60_061,plain,
    v3_relat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_61_062,plain,
    ( k8_relset_2(X2,X7,X1,esk6_7(X6,X4,X5,X3,X2,X7,X1)) = X6
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    c_0_39,
    [final] ).

cnf(c_0_62_063,plain,
    ( m1_subset_1(esk6_7(X6,X4,X5,X3,X2,X7,X1),k1_zfmisc_1(k2_zfmisc_1(X2,X7)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    c_0_40,
    [final] ).

cnf(c_0_63_064,plain,
    ( r2_hidden(esk6_7(X6,X4,X5,X3,X2,X7,X1),X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    c_0_41,
    [final] ).

cnf(c_0_64_065,plain,
    ( r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X8,X3)
    | X6 != k8_relset_2(X2,X7,X1,X8)
    | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X2,X7))) ),
    c_0_42,
    [final] ).

cnf(c_0_65_066,plain,
    m1_relset_1(esk9_2(X1,X2),X1,X2),
    c_0_43,
    [final] ).

cnf(c_0_66_067,plain,
    m2_relset_1(esk7_2(X1,X2),X1,X2),
    c_0_44,
    [final] ).

cnf(c_0_67_068,plain,
    m1_relset_1(esk4_2(X1,X2),X1,X2),
    c_0_45,
    [final] ).

cnf(c_0_68_069,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    c_0_46,
    [final] ).

cnf(c_0_69_070,plain,
    v1_relat_1(esk4_2(X1,X2)),
    c_0_47,
    [final] ).

cnf(c_0_70_071,plain,
    v1_funct_1(esk4_2(X1,X2)),
    c_0_48,
    [final] ).

cnf(c_0_71_072,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    c_0_49,
    [final] ).

cnf(c_0_72_073,plain,
    m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)),
    c_0_50,
    [final] ).

cnf(c_0_73_074,plain,
    m1_eqrel_1(esk10_1(X1),X1),
    c_0_51,
    [final] ).

cnf(c_0_74_075,plain,
    m1_subset_1(esk8_1(X1),X1),
    c_0_52,
    [final] ).

cnf(c_0_75_076,plain,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    c_0_53,
    [final] ).

cnf(c_0_76_077,plain,
    v1_xboole_0(esk2_1(X1)),
    c_0_54,
    [final] ).

cnf(c_0_77_078,plain,
    ~ v1_xboole_0(esk3_0),
    c_0_55,
    [final] ).

cnf(c_0_78_079,plain,
    v1_xboole_0(esk5_0),
    c_0_56,
    [final] ).

cnf(c_0_79_080,plain,
    v1_relat_1(esk5_0),
    c_0_57,
    [final] ).

cnf(c_0_80_081,plain,
    v1_relat_1(esk3_0),
    c_0_58,
    [final] ).

cnf(c_0_81_082,plain,
    v1_relat_1(esk1_0),
    c_0_59,
    [final] ).

cnf(c_0_82_083,plain,
    v3_relat_1(esk1_0),
    c_0_60,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_61_0,axiom,
    ( k8_relset_2(X2,X7,X1,sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1)) = X6
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_61_1,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | k8_relset_2(X2,X7,X1,sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1)) = X6
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_61_2,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | k8_relset_2(X2,X7,X1,sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1)) = X6
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_61_3,axiom,
    ( ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | k8_relset_2(X2,X7,X1,sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1)) = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_62_0,axiom,
    ( m1_subset_1(sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1),k1_zfmisc_1(k2_zfmisc_1(X2,X7)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_62_1,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | m1_subset_1(sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1),k1_zfmisc_1(k2_zfmisc_1(X2,X7)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_62_2,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | m1_subset_1(sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1),k1_zfmisc_1(k2_zfmisc_1(X2,X7)))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_62_3,axiom,
    ( ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | m1_subset_1(sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1),k1_zfmisc_1(k2_zfmisc_1(X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_63_0,axiom,
    ( r2_hidden(sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1),X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_63_1,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r2_hidden(sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1),X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_63_2,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r2_hidden(sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1),X3)
    | ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_63_3,axiom,
    ( ~ r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r2_hidden(sk2_esk6_7(X6,X4,X5,X3,X2,X7,X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_64_0,axiom,
    ( r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X8,X3)
    | X6 != k8_relset_2(X2,X7,X1,X8)
    | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_64_1,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ r2_hidden(X8,X3)
    | X6 != k8_relset_2(X2,X7,X1,X8)
    | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_64_2,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ r2_hidden(X8,X3)
    | X6 != k8_relset_2(X2,X7,X1,X8)
    | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_64_3,axiom,
    ( ~ r2_hidden(X8,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | X6 != k8_relset_2(X2,X7,X1,X8)
    | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_64_4,axiom,
    ( X6 != k8_relset_2(X2,X7,X1,X8)
    | ~ r2_hidden(X8,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1))
    | ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X2,X7))) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_64_5,axiom,
    ( ~ m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X2,X7)))
    | X6 != k8_relset_2(X2,X7,X1,X8)
    | ~ r2_hidden(X8,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X4,X5))))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r2_hidden(X6,a_6_0_relset_2(X4,X5,X3,X2,X7,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_68_0,axiom,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_68_1,axiom,
    ( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ v1_xboole_0(X1)
    | ~ r2_hidden(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_68_2,axiom,
    ( ~ r2_hidden(X3,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_71_0,axiom,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_1,axiom,
    ( ~ r2_hidden(X2,X1)
    | ~ v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_75_0,axiom,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_1,axiom,
    ( ~ v1_xboole_0(X1)
    | X2 = X1
    | ~ v1_xboole_0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_2,axiom,
    ( ~ v1_xboole_0(X2)
    | ~ v1_xboole_0(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_77_0,axiom,
    ~ v1_xboole_0(sk2_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_65_0,axiom,
    m1_relset_1(sk2_esk9_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_65]) ).

cnf(c_0_66_0,axiom,
    m2_relset_1(sk2_esk7_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_66]) ).

cnf(c_0_67_0,axiom,
    m1_relset_1(sk2_esk4_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_67]) ).

cnf(c_0_69_0,axiom,
    v1_relat_1(sk2_esk4_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_70_0,axiom,
    v1_funct_1(sk2_esk4_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_72_0,axiom,
    m1_subset_1(sk2_esk2_1(X1),k1_zfmisc_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_73_0,axiom,
    m1_eqrel_1(sk2_esk10_1(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_74_0,axiom,
    m1_subset_1(sk2_esk8_1(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_76_0,axiom,
    v1_xboole_0(sk2_esk2_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_78_0,axiom,
    v1_xboole_0(sk2_esk5_0),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_79_0,axiom,
    v1_relat_1(sk2_esk5_0),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_80_0,axiom,
    v1_relat_1(sk2_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_81_0,axiom,
    v1_relat_1(sk2_esk1_0),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_82_0,axiom,
    v3_relat_1(sk2_esk1_0),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_084,conjecture,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
     => ! [X4,X5,X6] :
          ( m1_subset_1(X6,k1_zfmisc_1(X4))
         => m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
    file('<stdin>',t36_relset_2) ).

fof(c_0_1_085,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
       => ! [X4,X5,X6] :
            ( m1_subset_1(X6,k1_zfmisc_1(X4))
           => m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_086,negated_conjecture,
    ( m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))))
    & m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0))
    & ~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_087,negated_conjecture,
    ~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_088,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_089,negated_conjecture,
    m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_090,negated_conjecture,
    ~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
    c_0_3,
    [final] ).

cnf(c_0_7_091,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))),
    c_0_4,
    [final] ).

cnf(c_0_8_092,negated_conjecture,
    m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0)),
    c_0_5,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_87,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X4))
    | m1_subset_1(a_6_0_relset_2(X1,X2,X0,X4,X5,X3),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_922b99.p',c_0_173_0) ).

cnf(c_245,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X4))
    | m1_subset_1(a_6_0_relset_2(X1,X2,X0,X4,X5,X3),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
    inference(copy,[status(esa)],[c_87]) ).

cnf(c_3529,plain,
    ( m1_subset_1(a_6_0_relset_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0,X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
    | ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk3_esk1_0,sk3_esk2_0))))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
    inference(instantiation,[status(thm)],[c_245]) ).

cnf(c_3623,plain,
    ( m1_subset_1(a_6_0_relset_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0,sk3_esk4_0,sk3_esk5_0,sk3_esk6_0),k1_zfmisc_1(k1_zfmisc_1(sk3_esk5_0)))
    | ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk3_esk1_0,sk3_esk2_0))))
    | ~ m1_subset_1(sk3_esk6_0,k1_zfmisc_1(sk3_esk4_0)) ),
    inference(instantiation,[status(thm)],[c_3529]) ).

cnf(c_88,negated_conjecture,
    ~ m1_subset_1(a_6_0_relset_2(sk3_esk1_0,sk3_esk2_0,sk3_esk3_0,sk3_esk4_0,sk3_esk5_0,sk3_esk6_0),k1_zfmisc_1(k1_zfmisc_1(sk3_esk5_0))),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_922b99.p',c_0_6) ).

cnf(c_89,negated_conjecture,
    m1_subset_1(sk3_esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk3_esk1_0,sk3_esk2_0)))),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_922b99.p',c_0_7) ).

cnf(c_90,negated_conjecture,
    m1_subset_1(sk3_esk6_0,k1_zfmisc_1(sk3_esk4_0)),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_922b99.p',c_0_8) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_3623,c_88,c_89,c_90]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.14  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 19 21:46:03 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running in mono-core mode
% 0.22/0.44  % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.44  % FOF problem with conjecture
% 0.22/0.44  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_43d692.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_922b99.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_940eaf | grep -v "SZS"
% 0.22/0.46  
% 0.22/0.46  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.46  
% 0.22/0.46  % 
% 0.22/0.46  % ------  iProver source info 
% 0.22/0.46  
% 0.22/0.46  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.46  % git: non_committed_changes: true
% 0.22/0.46  % git: last_make_outside_of_git: true
% 0.22/0.46  
% 0.22/0.46  % 
% 0.22/0.46  % ------ Input Options
% 0.22/0.46  
% 0.22/0.46  % --out_options                         all
% 0.22/0.46  % --tptp_safe_out                       true
% 0.22/0.46  % --problem_path                        ""
% 0.22/0.46  % --include_path                        ""
% 0.22/0.46  % --clausifier                          .//eprover
% 0.22/0.46  % --clausifier_options                  --tstp-format  
% 0.22/0.46  % --stdin                               false
% 0.22/0.46  % --dbg_backtrace                       false
% 0.22/0.46  % --dbg_dump_prop_clauses               false
% 0.22/0.46  % --dbg_dump_prop_clauses_file          -
% 0.22/0.46  % --dbg_out_stat                        false
% 0.22/0.46  
% 0.22/0.46  % ------ General Options
% 0.22/0.46  
% 0.22/0.46  % --fof                                 false
% 0.22/0.46  % --time_out_real                       150.
% 0.22/0.46  % --time_out_prep_mult                  0.2
% 0.22/0.46  % --time_out_virtual                    -1.
% 0.22/0.46  % --schedule                            none
% 0.22/0.46  % --ground_splitting                    input
% 0.22/0.46  % --splitting_nvd                       16
% 0.22/0.46  % --non_eq_to_eq                        false
% 0.22/0.46  % --prep_gs_sim                         true
% 0.22/0.46  % --prep_unflatten                      false
% 0.22/0.46  % --prep_res_sim                        true
% 0.22/0.46  % --prep_upred                          true
% 0.22/0.46  % --res_sim_input                       true
% 0.22/0.46  % --clause_weak_htbl                    true
% 0.22/0.46  % --gc_record_bc_elim                   false
% 0.22/0.46  % --symbol_type_check                   false
% 0.22/0.46  % --clausify_out                        false
% 0.22/0.46  % --large_theory_mode                   false
% 0.22/0.46  % --prep_sem_filter                     none
% 0.22/0.46  % --prep_sem_filter_out                 false
% 0.22/0.46  % --preprocessed_out                    false
% 0.22/0.46  % --sub_typing                          false
% 0.22/0.46  % --brand_transform                     false
% 0.22/0.46  % --pure_diseq_elim                     true
% 0.22/0.46  % --min_unsat_core                      false
% 0.22/0.46  % --pred_elim                           true
% 0.22/0.46  % --add_important_lit                   false
% 0.22/0.46  % --soft_assumptions                    false
% 0.22/0.46  % --reset_solvers                       false
% 0.22/0.46  % --bc_imp_inh                          []
% 0.22/0.46  % --conj_cone_tolerance                 1.5
% 0.22/0.46  % --prolific_symb_bound                 500
% 0.22/0.46  % --lt_threshold                        2000
% 0.22/0.46  
% 0.22/0.46  % ------ SAT Options
% 0.22/0.46  
% 0.22/0.46  % --sat_mode                            false
% 0.22/0.46  % --sat_fm_restart_options              ""
% 0.22/0.46  % --sat_gr_def                          false
% 0.22/0.46  % --sat_epr_types                       true
% 0.22/0.46  % --sat_non_cyclic_types                false
% 0.22/0.46  % --sat_finite_models                   false
% 0.22/0.46  % --sat_fm_lemmas                       false
% 0.22/0.46  % --sat_fm_prep                         false
% 0.22/0.46  % --sat_fm_uc_incr                      true
% 0.22/0.46  % --sat_out_model                       small
% 0.22/0.46  % --sat_out_clauses                     false
% 0.22/0.46  
% 0.22/0.46  % ------ QBF Options
% 0.22/0.46  
% 0.22/0.46  % --qbf_mode                            false
% 0.22/0.46  % --qbf_elim_univ                       true
% 0.22/0.46  % --qbf_sk_in                           true
% 0.22/0.46  % --qbf_pred_elim                       true
% 0.22/0.46  % --qbf_split                           32
% 0.22/0.46  
% 0.22/0.46  % ------ BMC1 Options
% 0.22/0.46  
% 0.22/0.46  % --bmc1_incremental                    false
% 0.22/0.46  % --bmc1_axioms                         reachable_all
% 0.22/0.46  % --bmc1_min_bound                      0
% 0.22/0.46  % --bmc1_max_bound                      -1
% 0.22/0.46  % --bmc1_max_bound_default              -1
% 0.22/0.46  % --bmc1_symbol_reachability            true
% 0.22/0.46  % --bmc1_property_lemmas                false
% 0.22/0.46  % --bmc1_k_induction                    false
% 0.22/0.46  % --bmc1_non_equiv_states               false
% 0.22/0.46  % --bmc1_deadlock                       false
% 0.22/0.46  % --bmc1_ucm                            false
% 0.22/0.46  % --bmc1_add_unsat_core                 none
% 0.22/0.46  % --bmc1_unsat_core_children            false
% 0.22/0.46  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.22/0.46  % --bmc1_out_stat                       full
% 0.22/0.46  % --bmc1_ground_init                    false
% 0.22/0.46  % --bmc1_pre_inst_next_state            false
% 0.22/0.46  % --bmc1_pre_inst_state                 false
% 0.22/0.46  % --bmc1_pre_inst_reach_state           false
% 0.22/0.46  % --bmc1_out_unsat_core                 false
% 0.22/0.46  % --bmc1_aig_witness_out                false
% 0.22/0.46  % --bmc1_verbose                        false
% 0.22/0.46  % --bmc1_dump_clauses_tptp              false
% 0.22/0.47  % --bmc1_dump_unsat_core_tptp           false
% 0.22/0.47  % --bmc1_dump_file                      -
% 0.22/0.47  % --bmc1_ucm_expand_uc_limit            128
% 0.22/0.47  % --bmc1_ucm_n_expand_iterations        6
% 0.22/0.47  % --bmc1_ucm_extend_mode                1
% 0.22/0.47  % --bmc1_ucm_init_mode                  2
% 0.22/0.47  % --bmc1_ucm_cone_mode                  none
% 0.22/0.47  % --bmc1_ucm_reduced_relation_type      0
% 0.22/0.47  % --bmc1_ucm_relax_model                4
% 0.22/0.47  % --bmc1_ucm_full_tr_after_sat          true
% 0.22/0.47  % --bmc1_ucm_expand_neg_assumptions     false
% 0.22/0.47  % --bmc1_ucm_layered_model              none
% 0.22/0.47  % --bmc1_ucm_max_lemma_size             10
% 0.22/0.47  
% 0.22/0.47  % ------ AIG Options
% 0.22/0.47  
% 0.22/0.47  % --aig_mode                            false
% 0.22/0.47  
% 0.22/0.47  % ------ Instantiation Options
% 0.22/0.47  
% 0.22/0.47  % --instantiation_flag                  true
% 0.22/0.47  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.47  % --inst_solver_per_active              750
% 0.22/0.47  % --inst_solver_calls_frac              0.5
% 0.22/0.47  % --inst_passive_queue_type             priority_queues
% 0.22/0.47  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.48  % --inst_passive_queues_freq            [25;2]
% 0.22/0.48  % --inst_dismatching                    true
% 0.22/0.48  % --inst_eager_unprocessed_to_passive   true
% 0.22/0.48  % --inst_prop_sim_given                 true
% 0.22/0.48  % --inst_prop_sim_new                   false
% 0.22/0.48  % --inst_orphan_elimination             true
% 0.22/0.48  % --inst_learning_loop_flag             true
% 0.22/0.48  % --inst_learning_start                 3000
% 0.22/0.48  % --inst_learning_factor                2
% 0.22/0.48  % --inst_start_prop_sim_after_learn     3
% 0.22/0.48  % --inst_sel_renew                      solver
% 0.22/0.48  % --inst_lit_activity_flag              true
% 0.22/0.48  % --inst_out_proof                      true
% 0.22/0.48  
% 0.22/0.48  % ------ Resolution Options
% 0.22/0.48  
% 0.22/0.48  % --resolution_flag                     true
% 0.22/0.48  % --res_lit_sel                         kbo_max
% 0.22/0.48  % --res_to_prop_solver                  none
% 0.22/0.48  % --res_prop_simpl_new                  false
% 0.22/0.48  % --res_prop_simpl_given                false
% 0.22/0.48  % --res_passive_queue_type              priority_queues
% 0.22/0.48  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.48  % --res_passive_queues_freq             [15;5]
% 0.22/0.48  % --res_forward_subs                    full
% 0.22/0.48  % --res_backward_subs                   full
% 0.22/0.48  % --res_forward_subs_resolution         true
% 0.22/0.48  % --res_backward_subs_resolution        true
% 0.22/0.48  % --res_orphan_elimination              false
% 0.22/0.48  % --res_time_limit                      1000.
% 0.22/0.48  % --res_out_proof                       true
% 0.22/0.48  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_43d692.s
% 0.22/0.48  % --modulo                              true
% 0.22/0.48  
% 0.22/0.48  % ------ Combination Options
% 0.22/0.48  
% 0.22/0.48  % --comb_res_mult                       1000
% 0.22/0.48  % --comb_inst_mult                      300
% 0.22/0.48  % ------ 
% 0.22/0.48  
% 0.22/0.48  % ------ Parsing...% successful
% 0.22/0.48  
% 0.22/0.48  % ------ 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 % 
% 0.22/0.48  
% 0.22/0.48  % ------ Proving...
% 0.22/0.48  % ------ Problem Properties 
% 0.22/0.48  
% 0.22/0.48  % 
% 0.22/0.48  % EPR                                   false
% 0.22/0.48  % Horn                                  false
% 0.22/0.48  % Has equality                          true
% 0.22/0.48  
% 0.22/0.48  % % ------ Input Options Time Limit: Unbounded
% 0.22/0.48  
% 0.22/0.48  
% 0.22/0.48  % % ------ Current options:
% 0.22/0.48  
% 0.22/0.48  % ------ Input Options
% 0.22/0.48  
% 0.22/0.48  % --out_options                         all
% 0.22/0.48  % --tptp_safe_out                       true
% 0.22/0.48  % --problem_path                        ""
% 0.22/0.48  % --include_path                        ""
% 0.22/0.48  % --clausifier                          .//eprover
% 0.22/0.48  % --clausifier_options                  --tstp-format  
% 0.22/0.48  % --stdin                               false
% 0.22/0.48  % --dbg_backtrace                       false
% 0.22/0.48  % --dbg_dump_prop_clauses               false
% 0.22/0.48  % --dbg_dump_prop_clauses_file          -
% 0.22/0.48  % --dbg_out_stat                        false
% 0.22/0.48  
% 0.22/0.48  % ------ General Options
% 0.22/0.48  
% 0.22/0.48  % --fof                                 false
% 0.22/0.48  % --time_out_real                       150.
% 0.22/0.48  % --time_out_prep_mult                  0.2
% 0.22/0.48  % --time_out_virtual                    -1.
% 0.22/0.48  % --schedule                            none
% 0.22/0.48  % --ground_splitting                    input
% 0.22/0.48  % --splitting_nvd                       16
% 0.22/0.48  % --non_eq_to_eq                        false
% 0.22/0.48  % --prep_gs_sim                         true
% 0.22/0.48  % --prep_unflatten                      false
% 0.22/0.48  % --prep_res_sim                        true
% 0.22/0.48  % --prep_upred                          true
% 0.22/0.48  % --res_sim_input                       true
% 0.22/0.48  % --clause_weak_htbl                    true
% 0.22/0.48  % --gc_record_bc_elim                   false
% 0.22/0.48  % --symbol_type_check                   false
% 0.22/0.48  % --clausify_out                        false
% 0.22/0.48  % --large_theory_mode                   false
% 0.22/0.48  % --prep_sem_filter                     none
% 0.22/0.48  % --prep_sem_filter_out                 false
% 0.22/0.48  % --preprocessed_out                    false
% 0.22/0.48  % --sub_typing                          false
% 0.22/0.48  % --brand_transform                     false
% 0.22/0.48  % --pure_diseq_elim                     true
% 0.22/0.48  % --min_unsat_core                      false
% 0.22/0.48  % --pred_elim                           true
% 0.22/0.48  % --add_important_lit                   false
% 0.22/0.48  % --soft_assumptions                    false
% 0.22/0.48  % --reset_solvers                       false
% 0.22/0.48  % --bc_imp_inh                          []
% 0.22/0.48  % --conj_cone_tolerance                 1.5
% 0.22/0.48  % --prolific_symb_bound                 500
% 0.22/0.48  % --lt_threshold                        2000
% 0.22/0.48  
% 0.22/0.48  % ------ SAT Options
% 0.22/0.48  
% 0.22/0.48  % --sat_mode                            false
% 0.22/0.48  % --sat_fm_restart_options              ""
% 0.22/0.48  % --sat_gr_def                          false
% 0.22/0.48  % --sat_epr_types                       true
% 0.22/0.48  % --sat_non_cyclic_types                false
% 0.22/0.48  % --sat_finite_models                   false
% 0.22/0.48  % --sat_fm_lemmas                       false
% 0.22/0.48  % --sat_fm_prep                         false
% 0.22/0.48  % --sat_fm_uc_incr                      true
% 0.22/0.48  % --sat_out_model                       small
% 0.22/0.48  % --sat_out_clauses                     false
% 0.22/0.48  
% 0.22/0.48  % ------ QBF Options
% 0.22/0.48  
% 0.22/0.48  % --qbf_mode                            false
% 0.22/0.48  % --qbf_elim_univ                       true
% 0.22/0.48  % --qbf_sk_in                           true
% 0.22/0.48  % --qbf_pred_elim                       true
% 0.22/0.48  % --qbf_split                           32
% 0.22/0.48  
% 0.22/0.48  % ------ BMC1 Options
% 0.22/0.48  
% 0.22/0.48  % --bmc1_incremental                    false
% 0.22/0.48  % --bmc1_axioms                         reachable_all
% 0.22/0.48  % --bmc1_min_bound                      0
% 0.22/0.48  % --bmc1_max_bound                      -1
% 0.22/0.48  % --bmc1_max_bound_default              -1
% 0.22/0.48  % --bmc1_symbol_reachability            true
% 0.22/0.48  % --bmc1_property_lemmas                false
% 0.22/0.48  % --bmc1_k_induction                    false
% 0.22/0.48  % --bmc1_non_equiv_states               false
% 0.22/0.48  % --bmc1_deadlock                       false
% 0.22/0.48  % --bmc1_ucm                            false
% 0.22/0.48  % --bmc1_add_unsat_core                 none
% 0.22/0.48  % --bmc1_unsat_core_children            false
% 0.22/0.48  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.22/0.48  % --bmc1_out_stat                       full
% 0.22/0.48  % --bmc1_ground_init                    false
% 0.22/0.48  % --bmc1_pre_inst_next_state            false
% 0.22/0.48  % --bmc1_pre_inst_state                 false
% 0.22/0.48  % --bmc1_pre_inst_reach_state           false
% 0.22/0.48  % --bmc1_out_unsat_core                 false
% 0.22/0.48  % --bmc1_aig_witness_out                false
% 0.22/0.48  % --bmc1_verbose                        false
% 0.22/0.48  % --bmc1_dump_clauses_tptp              false
% 0.22/0.48  % --bmc1_dump_unsat_core_tptp           false
% 0.22/0.48  % --bmc1_dump_file                      -
% 0.22/0.48  % --bmc1_ucm_expand_uc_limit            128
% 0.22/0.48  % --bmc1_ucm_n_expand_iterations        6
% 0.22/0.48  % --bmc1_ucm_extend_mode                1
% 0.22/0.48  % --bmc1_ucm_init_mode                  2
% 0.22/0.48  % --bmc1_ucm_cone_mode                  none
% 0.22/0.48  % --bmc1_ucm_reduced_relation_type      0
% 0.22/0.48  % --bmc1_ucm_relax_model                4
% 0.22/0.48  % --bmc1_ucm_full_tr_after_sat          true
% 0.22/0.48  % --bmc1_ucm_expand_neg_assumptions     false
% 0.22/0.48  % --bmc1_ucm_layered_model              none
% 0.22/0.48  % --bmc1_ucm_max_lemma_size             10
% 0.22/0.48  
% 0.22/0.48  % ------ AIG Options
% 0.22/0.48  
% 0.22/0.48  % --aig_mode                            false
% 0.22/0.48  
% 0.22/0.48  % ------ Instantiation Options
% 0.22/0.48  
% 0.22/0.48  % --instantiation_flag                  true
% 0.22/0.48  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.48  % --inst_solver_per_active              750
% 0.22/0.48  % --inst_solver_calls_frac              0.5
% 0.22/0.48  % --inst_passive_queue_type             priority_queues
% 0.22/0.48  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.48  % --inst_passive_queues_freq            [25;2]
% 0.22/0.48  % --inst_dismatching                    true
% 0.22/0.48  % --inst_eager_unprocessed_to_passive   true
% 0.22/0.48  % --inst_prop_sim_given                 true
% 15.79/15.97  % --inst_prop_sim_new                   false
% 15.79/15.97  % --inst_orphan_elimination             true
% 15.79/15.97  % --inst_learning_loop_flag             true
% 15.79/15.97  % --inst_learning_start                 3000
% 15.79/15.97  % --inst_learning_factor                2
% 15.79/15.97  % --inst_start_prop_sim_after_learn     3
% 15.79/15.97  % --inst_sel_renew                      solver
% 15.79/15.97  % --inst_lit_activity_flag              true
% 15.79/15.97  % --inst_out_proof                      true
% 15.79/15.97  
% 15.79/15.97  % ------ Resolution Options
% 15.79/15.97  
% 15.79/15.97  % --resolution_flag                     true
% 15.79/15.97  % --res_lit_sel                         kbo_max
% 15.79/15.97  % --res_to_prop_solver                  none
% 15.79/15.97  % --res_prop_simpl_new                  false
% 15.79/15.97  % --res_prop_simpl_given                false
% 15.79/15.97  % --res_passive_queue_type              priority_queues
% 15.79/15.97  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 15.79/15.97  % --res_passive_queues_freq             [15;5]
% 15.79/15.97  % --res_forward_subs                    full
% 15.79/15.97  % --res_backward_subs                   full
% 15.79/15.97  % --res_forward_subs_resolution         true
% 15.79/15.97  % --res_backward_subs_resolution        true
% 15.79/15.97  % --res_orphan_elimination              false
% 15.79/15.97  % --res_time_limit                      1000.
% 15.79/15.97  % --res_out_proof                       true
% 15.79/15.97  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_43d692.s
% 15.79/15.97  % --modulo                              true
% 15.79/15.97  
% 15.79/15.97  % ------ Combination Options
% 15.79/15.97  
% 15.79/15.97  % --comb_res_mult                       1000
% 15.79/15.97  % --comb_inst_mult                      300
% 15.79/15.97  % ------ 
% 15.79/15.97  
% 15.79/15.97  
% 15.79/15.97  
% 15.79/15.97  % ------ Proving...
% 15.79/15.97  % 
% 15.79/15.97  
% 15.79/15.97  
% 15.79/15.97  % ------                             Statistics
% 15.79/15.97  
% 15.79/15.97  % ------ General
% 15.79/15.97  
% 15.79/15.97  % num_of_input_clauses:                 91
% 15.79/15.97  % num_of_input_neg_conjectures:         3
% 15.79/15.97  % num_of_splits:                        0
% 15.79/15.97  % num_of_split_atoms:                   0
% 15.79/15.97  % num_of_sem_filtered_clauses:          0
% 15.79/15.97  % num_of_subtypes:                      0
% 15.79/15.97  % monotx_restored_types:                0
% 15.79/15.97  % sat_num_of_epr_types:                 0
% 15.79/15.97  % sat_num_of_non_cyclic_types:          0
% 15.79/15.97  % sat_guarded_non_collapsed_types:      0
% 15.79/15.97  % is_epr:                               0
% 15.79/15.97  % is_horn:                              0
% 15.79/15.97  % has_eq:                               1
% 15.79/15.97  % num_pure_diseq_elim:                  0
% 15.79/15.97  % simp_replaced_by:                     0
% 15.79/15.97  % res_preprocessed:                     6
% 15.79/15.97  % prep_upred:                           0
% 15.79/15.97  % prep_unflattend:                      0
% 15.79/15.97  % pred_elim_cands:                      0
% 15.79/15.97  % pred_elim:                            0
% 15.79/15.97  % pred_elim_cl:                         0
% 15.79/15.97  % pred_elim_cycles:                     0
% 15.79/15.97  % forced_gc_time:                       0
% 15.79/15.97  % gc_basic_clause_elim:                 0
% 15.79/15.97  % parsing_time:                         0.005
% 15.79/15.97  % sem_filter_time:                      0.
% 15.79/15.97  % pred_elim_time:                       0.
% 15.79/15.97  % out_proof_time:                       0.
% 15.79/15.97  % monotx_time:                          0.
% 15.79/15.97  % subtype_inf_time:                     0.
% 15.79/15.97  % unif_index_cands_time:                0.001
% 15.79/15.97  % unif_index_add_time:                  0.037
% 15.79/15.97  % total_time:                           15.524
% 15.79/15.97  % num_of_symbols:                       66
% 15.79/15.97  % num_of_terms:                         122256
% 15.79/15.97  
% 15.79/15.97  % ------ Propositional Solver
% 15.79/15.97  
% 15.79/15.97  % prop_solver_calls:                    3
% 15.79/15.97  % prop_fast_solver_calls:               9
% 15.79/15.97  % prop_num_of_clauses:                  214
% 15.79/15.97  % prop_preprocess_simplified:           476
% 15.79/15.97  % prop_fo_subsumed:                     0
% 15.79/15.97  % prop_solver_time:                     0.
% 15.79/15.97  % prop_fast_solver_time:                0.
% 15.79/15.97  % prop_unsat_core_time:                 0.
% 15.79/15.97  
% 15.79/15.97  % ------ QBF 
% 15.79/15.97  
% 15.79/15.97  % qbf_q_res:                            0
% 15.79/15.97  % qbf_num_tautologies:                  0
% 15.79/15.97  % qbf_prep_cycles:                      0
% 15.79/15.97  
% 15.79/15.97  % ------ BMC1
% 15.79/15.97  
% 15.79/15.97  % bmc1_current_bound:                   -1
% 15.79/15.97  % bmc1_last_solved_bound:               -1
% 15.79/15.97  % bmc1_unsat_core_size:                 -1
% 15.79/15.97  % bmc1_unsat_core_parents_size:         -1
% 15.79/15.97  % bmc1_merge_next_fun:                  0
% 15.79/15.97  % bmc1_unsat_core_clauses_time:         0.
% 15.79/15.97  
% 15.79/15.97  % ------ Instantiation
% 15.79/15.97  
% 15.79/15.97  % inst_num_of_clauses:                  139
% 15.79/15.97  % inst_num_in_passive:                  43
% 15.79/15.97  % inst_num_in_active:                   82
% 15.79/15.97  % inst_num_in_unprocessed:              12
% 15.79/15.97  % inst_num_of_loops:                    84
% 15.79/15.97  % inst_num_of_learning_restarts:        0
% 15.79/15.97  % inst_num_moves_active_passive:        0
% 15.79/15.97  % inst_lit_activity:                    15
% 15.79/15.97  % inst_lit_activity_moves:              0
% 15.79/15.97  % inst_num_tautologies:                 0
% 15.79/15.97  % inst_num_prop_implied:                0
% 15.79/15.97  % inst_num_existing_simplified:         0
% 15.79/15.97  % inst_num_eq_res_simplified:           0
% 15.79/15.97  % inst_num_child_elim:                  0
% 15.79/15.97  % inst_num_of_dismatching_blockings:    10
% 15.79/15.97  % inst_num_of_non_proper_insts:         76
% 15.79/15.97  % inst_num_of_duplicates:               33
% 15.79/15.97  % inst_inst_num_from_inst_to_res:       0
% 15.79/15.97  % inst_dismatching_checking_time:       0.
% 15.79/15.97  
% 15.79/15.97  % ------ Resolution
% 15.79/15.97  
% 15.79/15.97  % res_num_of_clauses:                   610
% 15.79/15.97  % res_num_in_passive:                   2
% 15.79/15.97  % res_num_in_active:                    566
% 15.79/15.97  % res_num_of_loops:                     1000
% 15.79/15.97  % res_forward_subset_subsumed:          26
% 15.79/15.97  % res_backward_subset_subsumed:         0
% 15.79/15.97  % res_forward_subsumed:                 496
% 15.79/15.97  % res_backward_subsumed:                0
% 15.79/15.97  % res_forward_subsumption_resolution:   0
% 15.79/15.97  % res_backward_subsumption_resolution:  0
% 15.79/15.97  % res_clause_to_clause_subsumption:     521
% 15.79/15.97  % res_orphan_elimination:               0
% 15.79/15.97  % res_tautology_del:                    0
% 15.79/15.97  % res_num_eq_res_simplified:            0
% 15.79/15.97  % res_num_sel_changes:                  0
% 15.79/15.97  % res_moves_from_active_to_pass:        0
% 15.79/15.97  
% 15.79/15.97  % Status Unsatisfiable
% 15.79/15.97  % SZS status Theorem
% 15.79/15.97  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------