iProverMo---2.5-0.1.THM-CRf.s

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG214+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n032.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 : Thu Jul 14 17:10:37 EDT 2022

% Result   : Theorem 1.95s 2.21s
% Output   : CNFRefutation 2.06s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(reflexivity_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_funct_2,axiom,
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ),
    input ).

fof(redefinition_k8_funct_2_0,plain,
    ! [A,B,C,D] :
      ( k8_funct_2(A,B,C,D) = k1_funct_1(C,D)
      | ~ ( ~ v1_xboole_0(A)
          & v1_funct_1(C)
          & v1_funct_2(C,A,B)
          & m1_relset_1(C,A,B)
          & m1_subset_1(D,A) ) ),
    inference(orientation,[status(thm)],[redefinition_k8_funct_2]) ).

fof(redefinition_k1_fraenkel,axiom,
    ! [A,B] :
      ( ~ v1_xboole_0(B)
     => k1_fraenkel(A,B) = k1_funct_2(A,B) ),
    input ).

fof(redefinition_k1_fraenkel_0,plain,
    ! [A,B] :
      ( k1_fraenkel(A,B) = k1_funct_2(A,B)
      | v1_xboole_0(B) ),
    inference(orientation,[status(thm)],[redefinition_k1_fraenkel]) ).

fof(rc9_vectsp_2,axiom,
    ! [A] :
      ( l1_struct_0(A)
     => ? [B] :
          ( l1_vectsp_2(B,A)
          & ~ v3_struct_0(B) ) ),
    input ).

fof(rc9_vectsp_2_0,plain,
    ! [A] :
      ( ~ l1_struct_0(A)
      | ? [B] :
          ( l1_vectsp_2(B,A)
          & ~ v3_struct_0(B) ) ),
    inference(orientation,[status(thm)],[rc9_vectsp_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(fc1_xboole_0,axiom,
    v1_xboole_0(k1_xboole_0),
    input ).

fof(fc1_xboole_0_0,plain,
    ( v1_xboole_0(k1_xboole_0)
    | $false ),
    inference(orientation,[status(thm)],[fc1_xboole_0]) ).

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

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

fof(fc1_struct_0,axiom,
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(u1_struct_0(A)) ),
    input ).

fof(fc1_struct_0_0,plain,
    ! [A] :
      ( ~ v1_xboole_0(u1_struct_0(A))
      | ~ ( ~ v3_struct_0(A)
          & l1_struct_0(A) ) ),
    inference(orientation,[status(thm)],[fc1_struct_0]) ).

fof(existence_l1_vectsp_2,axiom,
    ! [A] :
      ( l1_struct_0(A)
     => ? [B] : l1_vectsp_2(B,A) ),
    input ).

fof(existence_l1_vectsp_2_0,plain,
    ! [A] :
      ( ~ l1_struct_0(A)
      | ? [B] : l1_vectsp_2(B,A) ),
    inference(orientation,[status(thm)],[existence_l1_vectsp_2]) ).

fof(dt_u1_struct_0,axiom,
    $true,
    input ).

fof(dt_u1_struct_0_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_u1_struct_0]) ).

fof(dt_m2_relset_1,axiom,
    ! [A,B,C] :
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
    input ).

fof(dt_m2_relset_1_0,plain,
    ! [A,B,C] :
      ( ~ m2_relset_1(C,A,B)
      | m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
    inference(orientation,[status(thm)],[dt_m2_relset_1]) ).

fof(dt_m1_subset_1,axiom,
    $true,
    input ).

fof(dt_m1_subset_1_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_m1_subset_1]) ).

fof(dt_m1_relset_1,axiom,
    $true,
    input ).

fof(dt_m1_relset_1_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_m1_relset_1]) ).

fof(dt_m1_fraenkel,axiom,
    ! [A,B,C] :
      ( m1_fraenkel(C,A,B)
     => ( ~ v1_xboole_0(C)
        & v1_fraenkel(C) ) ),
    input ).

fof(dt_m1_fraenkel_0,plain,
    ! [A,B,C] :
      ( ~ m1_fraenkel(C,A,B)
      | ( ~ v1_xboole_0(C)
        & v1_fraenkel(C) ) ),
    inference(orientation,[status(thm)],[dt_m1_fraenkel]) ).

fof(dt_l3_vectsp_1,axiom,
    ! [A] :
      ( l3_vectsp_1(A)
     => ( l1_rlvect_1(A)
        & l2_vectsp_1(A) ) ),
    input ).

fof(dt_l3_vectsp_1_0,plain,
    ! [A] :
      ( ~ l3_vectsp_1(A)
      | ( l1_rlvect_1(A)
        & l2_vectsp_1(A) ) ),
    inference(orientation,[status(thm)],[dt_l3_vectsp_1]) ).

fof(dt_l2_vectsp_1,axiom,
    ! [A] :
      ( l2_vectsp_1(A)
     => ( l1_vectsp_1(A)
        & l2_struct_0(A) ) ),
    input ).

fof(dt_l2_vectsp_1_0,plain,
    ! [A] :
      ( ~ l2_vectsp_1(A)
      | ( l1_vectsp_1(A)
        & l2_struct_0(A) ) ),
    inference(orientation,[status(thm)],[dt_l2_vectsp_1]) ).

fof(dt_l2_struct_0,axiom,
    ! [A] :
      ( l2_struct_0(A)
     => l1_struct_0(A) ),
    input ).

fof(dt_l2_struct_0_0,plain,
    ! [A] :
      ( ~ l2_struct_0(A)
      | l1_struct_0(A) ),
    inference(orientation,[status(thm)],[dt_l2_struct_0]) ).

fof(dt_l1_vectsp_2,axiom,
    ! [A] :
      ( l1_struct_0(A)
     => ! [B] :
          ( l1_vectsp_2(B,A)
         => l1_rlvect_1(B) ) ),
    input ).

fof(dt_l1_vectsp_2_0,plain,
    ! [A] :
      ( ~ l1_struct_0(A)
      | ! [B] :
          ( l1_vectsp_2(B,A)
         => l1_rlvect_1(B) ) ),
    inference(orientation,[status(thm)],[dt_l1_vectsp_2]) ).

fof(dt_l1_vectsp_1,axiom,
    ! [A] :
      ( l1_vectsp_1(A)
     => l1_group_1(A) ),
    input ).

fof(dt_l1_vectsp_1_0,plain,
    ! [A] :
      ( ~ l1_vectsp_1(A)
      | l1_group_1(A) ),
    inference(orientation,[status(thm)],[dt_l1_vectsp_1]) ).

fof(dt_l1_struct_0,axiom,
    $true,
    input ).

fof(dt_l1_struct_0_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_l1_struct_0]) ).

fof(dt_l1_rlvect_1,axiom,
    ! [A] :
      ( l1_rlvect_1(A)
     => l2_struct_0(A) ),
    input ).

fof(dt_l1_rlvect_1_0,plain,
    ! [A] :
      ( ~ l1_rlvect_1(A)
      | l2_struct_0(A) ),
    inference(orientation,[status(thm)],[dt_l1_rlvect_1]) ).

fof(dt_l1_group_1,axiom,
    ! [A] :
      ( l1_group_1(A)
     => l1_struct_0(A) ),
    input ).

fof(dt_l1_group_1_0,plain,
    ! [A] :
      ( ~ l1_group_1(A)
      | l1_struct_0(A) ),
    inference(orientation,[status(thm)],[dt_l1_group_1]) ).

fof(dt_k8_funct_2,axiom,
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => m1_subset_1(k8_funct_2(A,B,C,D),B) ),
    input ).

fof(dt_k8_funct_2_0,plain,
    ! [A,B,C,D] :
      ( m1_subset_1(k8_funct_2(A,B,C,D),B)
      | ~ ( ~ v1_xboole_0(A)
          & v1_funct_1(C)
          & v1_funct_2(C,A,B)
          & m1_relset_1(C,A,B)
          & m1_subset_1(D,A) ) ),
    inference(orientation,[status(thm)],[dt_k8_funct_2]) ).

fof(dt_k5_rmod_4,axiom,
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v4_group_1(A)
        & v6_vectsp_1(A)
        & v7_vectsp_1(A)
        & v8_vectsp_1(A)
        & l3_vectsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v5_vectsp_2(B,A)
        & l1_vectsp_2(B,A)
        & m1_rmod_4(C,A,B) )
     => m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B)) ),
    input ).

fof(dt_k5_rmod_4_0,plain,
    ! [A,B,C] :
      ( m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B))
      | ~ ( ~ v3_struct_0(A)
          & v3_rlvect_1(A)
          & v4_rlvect_1(A)
          & v5_rlvect_1(A)
          & v6_rlvect_1(A)
          & v4_group_1(A)
          & v6_vectsp_1(A)
          & v7_vectsp_1(A)
          & v8_vectsp_1(A)
          & l3_vectsp_1(A)
          & ~ v3_struct_0(B)
          & v3_rlvect_1(B)
          & v4_rlvect_1(B)
          & v5_rlvect_1(B)
          & v6_rlvect_1(B)
          & v5_vectsp_2(B,A)
          & l1_vectsp_2(B,A)
          & m1_rmod_4(C,A,B) ) ),
    inference(orientation,[status(thm)],[dt_k5_rmod_4]) ).

fof(dt_k2_zfmisc_1,axiom,
    $true,
    input ).

fof(dt_k2_zfmisc_1_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_k2_zfmisc_1]) ).

fof(dt_k1_zfmisc_1,axiom,
    $true,
    input ).

fof(dt_k1_zfmisc_1_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_k1_zfmisc_1]) ).

fof(dt_k1_xboole_0,axiom,
    $true,
    input ).

fof(dt_k1_xboole_0_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_k1_xboole_0]) ).

fof(dt_k1_rlvect_1,axiom,
    ! [A] :
      ( l2_struct_0(A)
     => m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
    input ).

fof(dt_k1_rlvect_1_0,plain,
    ! [A] :
      ( ~ l2_struct_0(A)
      | m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
    inference(orientation,[status(thm)],[dt_k1_rlvect_1]) ).

fof(dt_k1_funct_2,axiom,
    $true,
    input ).

fof(dt_k1_funct_2_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_k1_funct_2]) ).

fof(dt_k1_funct_1,axiom,
    $true,
    input ).

fof(dt_k1_funct_1_0,plain,
    ( $true
    | $false ),
    inference(orientation,[status(thm)],[dt_k1_funct_1]) ).

fof(dt_k1_fraenkel,axiom,
    ! [A,B] :
      ( ~ v1_xboole_0(B)
     => m1_fraenkel(k1_fraenkel(A,B),A,B) ),
    input ).

fof(dt_k1_fraenkel_0,plain,
    ! [A,B] :
      ( m1_fraenkel(k1_fraenkel(A,B),A,B)
      | v1_xboole_0(B) ),
    inference(orientation,[status(thm)],[dt_k1_fraenkel]) ).

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(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,
    ! [C,B,A] :
      ( lhs_atom2(C,B,A)
    <=> ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_1,plain,
    ! [A,B,C] :
      ( lhs_atom2(C,B,A)
      | v1_relat_1(C) ),
    inference(fold_definition,[status(thm)],[cc1_relset_1_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [B,A] :
      ( lhs_atom3(B,A)
    <=> m1_fraenkel(k1_fraenkel(A,B),A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_2,plain,
    ! [A,B] :
      ( lhs_atom3(B,A)
      | v1_xboole_0(B) ),
    inference(fold_definition,[status(thm)],[dt_k1_fraenkel_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ( lhs_atom4
  <=> $true ),
    inference(definition,[],[]) ).

fof(to_be_clausified_3,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k1_funct_1_0,def_lhs_atom4]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k1_funct_2_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [A] :
      ( lhs_atom5(A)
    <=> ~ l2_struct_0(A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_5,plain,
    ! [A] :
      ( lhs_atom5(A)
      | m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
    inference(fold_definition,[status(thm)],[dt_k1_rlvect_1_0,def_lhs_atom5]) ).

fof(to_be_clausified_6,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k1_xboole_0_0,def_lhs_atom4]) ).

fof(to_be_clausified_7,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k1_zfmisc_1_0,def_lhs_atom4]) ).

fof(to_be_clausified_8,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_k2_zfmisc_1_0,def_lhs_atom4]) ).

fof(def_lhs_atom6,axiom,
    ! [C,B,A] :
      ( lhs_atom6(C,B,A)
    <=> m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_9,plain,
    ! [A,B,C] :
      ( lhs_atom6(C,B,A)
      | ~ ( ~ v3_struct_0(A)
          & v3_rlvect_1(A)
          & v4_rlvect_1(A)
          & v5_rlvect_1(A)
          & v6_rlvect_1(A)
          & v4_group_1(A)
          & v6_vectsp_1(A)
          & v7_vectsp_1(A)
          & v8_vectsp_1(A)
          & l3_vectsp_1(A)
          & ~ v3_struct_0(B)
          & v3_rlvect_1(B)
          & v4_rlvect_1(B)
          & v5_rlvect_1(B)
          & v6_rlvect_1(B)
          & v5_vectsp_2(B,A)
          & l1_vectsp_2(B,A)
          & m1_rmod_4(C,A,B) ) ),
    inference(fold_definition,[status(thm)],[dt_k5_rmod_4_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [D,C,B,A] :
      ( lhs_atom7(D,C,B,A)
    <=> m1_subset_1(k8_funct_2(A,B,C,D),B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_10,plain,
    ! [A,B,C,D] :
      ( lhs_atom7(D,C,B,A)
      | ~ ( ~ v1_xboole_0(A)
          & v1_funct_1(C)
          & v1_funct_2(C,A,B)
          & m1_relset_1(C,A,B)
          & m1_subset_1(D,A) ) ),
    inference(fold_definition,[status(thm)],[dt_k8_funct_2_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [A] :
      ( lhs_atom8(A)
    <=> ~ l1_group_1(A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_11,plain,
    ! [A] :
      ( lhs_atom8(A)
      | l1_struct_0(A) ),
    inference(fold_definition,[status(thm)],[dt_l1_group_1_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [A] :
      ( lhs_atom9(A)
    <=> ~ l1_rlvect_1(A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_12,plain,
    ! [A] :
      ( lhs_atom9(A)
      | l2_struct_0(A) ),
    inference(fold_definition,[status(thm)],[dt_l1_rlvect_1_0,def_lhs_atom9]) ).

fof(to_be_clausified_13,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_l1_struct_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom10,axiom,
    ! [A] :
      ( lhs_atom10(A)
    <=> ~ l1_vectsp_1(A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_14,plain,
    ! [A] :
      ( lhs_atom10(A)
      | l1_group_1(A) ),
    inference(fold_definition,[status(thm)],[dt_l1_vectsp_1_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [A] :
      ( lhs_atom11(A)
    <=> ~ l1_struct_0(A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_15,plain,
    ! [A] :
      ( lhs_atom11(A)
      | ! [B] :
          ( l1_vectsp_2(B,A)
         => l1_rlvect_1(B) ) ),
    inference(fold_definition,[status(thm)],[dt_l1_vectsp_2_0,def_lhs_atom11]) ).

fof(to_be_clausified_16,plain,
    ! [A] :
      ( lhs_atom5(A)
      | l1_struct_0(A) ),
    inference(fold_definition,[status(thm)],[dt_l2_struct_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom12,axiom,
    ! [A] :
      ( lhs_atom12(A)
    <=> ~ l2_vectsp_1(A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_17,plain,
    ! [A] :
      ( lhs_atom12(A)
      | ( l1_vectsp_1(A)
        & l2_struct_0(A) ) ),
    inference(fold_definition,[status(thm)],[dt_l2_vectsp_1_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [A] :
      ( lhs_atom13(A)
    <=> ~ l3_vectsp_1(A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_18,plain,
    ! [A] :
      ( lhs_atom13(A)
      | ( l1_rlvect_1(A)
        & l2_vectsp_1(A) ) ),
    inference(fold_definition,[status(thm)],[dt_l3_vectsp_1_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [C,B,A] :
      ( lhs_atom14(C,B,A)
    <=> ~ m1_fraenkel(C,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_19,plain,
    ! [A,B,C] :
      ( lhs_atom14(C,B,A)
      | ( ~ v1_xboole_0(C)
        & v1_fraenkel(C) ) ),
    inference(fold_definition,[status(thm)],[dt_m1_fraenkel_0,def_lhs_atom14]) ).

fof(to_be_clausified_20,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_m1_relset_1_0,def_lhs_atom4]) ).

fof(to_be_clausified_21,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_m1_subset_1_0,def_lhs_atom4]) ).

fof(def_lhs_atom15,axiom,
    ! [C,B,A] :
      ( lhs_atom15(C,B,A)
    <=> ~ m2_relset_1(C,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_22,plain,
    ! [A,B,C] :
      ( lhs_atom15(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_atom15]) ).

fof(to_be_clausified_23,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[dt_u1_struct_0_0,def_lhs_atom4]) ).

fof(to_be_clausified_24,plain,
    ! [A] :
      ( lhs_atom11(A)
      | ? [B] : l1_vectsp_2(B,A) ),
    inference(fold_definition,[status(thm)],[existence_l1_vectsp_2_0,def_lhs_atom11]) ).

fof(def_lhs_atom16,axiom,
    ! [A] :
      ( lhs_atom16(A)
    <=> ~ v1_xboole_0(u1_struct_0(A)) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_25,plain,
    ! [A] :
      ( lhs_atom16(A)
      | ~ ( ~ v3_struct_0(A)
          & l1_struct_0(A) ) ),
    inference(fold_definition,[status(thm)],[fc1_struct_0_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_26,plain,
    ! [A] :
      ( lhs_atom17(A)
      | $false ),
    inference(fold_definition,[status(thm)],[fc1_subset_1_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ( lhs_atom18
  <=> v1_xboole_0(k1_xboole_0) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_27,plain,
    ( lhs_atom18
    | $false ),
    inference(fold_definition,[status(thm)],[fc1_xboole_0_0,def_lhs_atom18]) ).

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

fof(to_be_clausified_28,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_29,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_30,plain,
    ! [A] :
      ( lhs_atom11(A)
      | ? [B] :
          ( l1_vectsp_2(B,A)
          & ~ v3_struct_0(B) ) ),
    inference(fold_definition,[status(thm)],[rc9_vectsp_2_0,def_lhs_atom11]) ).

fof(def_lhs_atom21,axiom,
    ! [B,A] :
      ( lhs_atom21(B,A)
    <=> k1_fraenkel(A,B) = k1_funct_2(A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_31,plain,
    ! [A,B] :
      ( lhs_atom21(B,A)
      | v1_xboole_0(B) ),
    inference(fold_definition,[status(thm)],[redefinition_k1_fraenkel_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [D,C,B,A] :
      ( lhs_atom22(D,C,B,A)
    <=> k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_32,plain,
    ! [A,B,C,D] :
      ( lhs_atom22(D,C,B,A)
      | ~ ( ~ v1_xboole_0(A)
          & v1_funct_1(C)
          & v1_funct_2(C,A,B)
          & m1_relset_1(C,A,B)
          & m1_subset_1(D,A) ) ),
    inference(fold_definition,[status(thm)],[redefinition_k8_funct_2_0,def_lhs_atom22]) ).

fof(to_be_clausified_33,plain,
    ! [A,B,C] :
      ( lhs_atom15(C,B,A)
      | m1_relset_1(C,A,B) ),
    inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_1,def_lhs_atom15]) ).

fof(def_lhs_atom23,axiom,
    ! [C,B,A] :
      ( lhs_atom23(C,B,A)
    <=> m2_relset_1(C,A,B) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_34,plain,
    ! [A,B,C] :
      ( lhs_atom23(C,B,A)
      | ~ m1_relset_1(C,A,B) ),
    inference(fold_definition,[status(thm)],[redefinition_m2_relset_1_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [A] :
      ( lhs_atom24(A)
    <=> r1_tarski(A,A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_35,plain,
    ! [A] :
      ( lhs_atom24(A)
      | $false ),
    inference(fold_definition,[status(thm)],[reflexivity_r1_tarski_0,def_lhs_atom24]) ).

fof(to_be_clausified_36,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_37,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_38,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_39,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_40,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_41,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(def_lhs_atom30,axiom,
    ! [A] :
      ( lhs_atom30(A)
    <=> ~ v1_xboole_0(A) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_42,plain,
    ! [A] :
      ( lhs_atom30(A)
      | A = k1_xboole_0 ),
    inference(fold_definition,[status(thm)],[t6_boole_0,def_lhs_atom30]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom22(X4,X3,X1,X2)
      | ~ ( ~ v1_xboole_0(X2)
          & v1_funct_1(X3)
          & v1_funct_2(X3,X2,X1)
          & m1_relset_1(X3,X2,X1)
          & m1_subset_1(X4,X2) ) ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_1,axiom,
    ! [X4,X3,X1,X2] :
      ( lhs_atom7(X4,X3,X1,X2)
      | ~ ( ~ v1_xboole_0(X2)
          & v1_funct_1(X3)
          & v1_funct_2(X3,X2,X1)
          & m1_relset_1(X3,X2,X1)
          & m1_subset_1(X4,X2) ) ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_2,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom6(X3,X1,X2)
      | ~ ( ~ v3_struct_0(X2)
          & v3_rlvect_1(X2)
          & v4_rlvect_1(X2)
          & v5_rlvect_1(X2)
          & v6_rlvect_1(X2)
          & v4_group_1(X2)
          & v6_vectsp_1(X2)
          & v7_vectsp_1(X2)
          & v8_vectsp_1(X2)
          & l3_vectsp_1(X2)
          & ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & v6_rlvect_1(X1)
          & v5_vectsp_2(X1,X2)
          & l1_vectsp_2(X1,X2)
          & m1_rmod_4(X3,X2,X1) ) ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_3,axiom,
    ! [X1,X2] :
      ( lhs_atom26(X1,X2)
      | ~ ! [X3] :
            ( r2_hidden(X3,X2)
          <=> r2_hidden(X3,X1) ) ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_4,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom23(X3,X1,X2)
      | ~ m1_relset_1(X3,X2,X1) ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_5,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom15(X3,X1,X2)
      | m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_6,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom15(X3,X1,X2)
      | m1_relset_1(X3,X2,X1) ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_7,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_41) ).

fof(c_0_8,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom14(X3,X1,X2)
      | ( ~ v1_xboole_0(X3)
        & v1_fraenkel(X3) ) ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_9,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom2(X3,X1,X2)
      | v1_relat_1(X3) ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_10,axiom,
    ! [X1,X2] :
      ( lhs_atom28(X1,X2)
      | ~ r1_tarski(X2,X1) ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_11,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ r2_hidden(X1,X2) ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_12,axiom,
    ! [X1,X2] :
      ( lhs_atom25(X1,X2)
      | v1_xboole_0(X1)
      | r2_hidden(X2,X1) ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_13,axiom,
    ! [X2] :
      ( lhs_atom11(X2)
      | ! [X1] :
          ( l1_vectsp_2(X1,X2)
         => l1_rlvect_1(X1) ) ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_14,axiom,
    ! [X2] :
      ( lhs_atom20(X2)
      | ? [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(X2))
          & ~ v1_xboole_0(X1) ) ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_15,axiom,
    ! [X2] :
      ( lhs_atom5(X2)
      | m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2)) ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_16,axiom,
    ! [X1,X2] :
      ( lhs_atom27(X1,X2)
      | r1_tarski(X2,X1) ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_17,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | m1_subset_1(X2,X1) ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_18,axiom,
    ! [X2] :
      ( lhs_atom11(X2)
      | ? [X1] :
          ( l1_vectsp_2(X1,X2)
          & ~ v3_struct_0(X1) ) ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_19,axiom,
    ! [X2] :
      ( lhs_atom11(X2)
      | ? [X1] : l1_vectsp_2(X1,X2) ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_20,axiom,
    ! [X1,X2] :
      ( lhs_atom19(X1,X2)
      | ~ ( ~ v1_xboole_0(X2)
          & ~ v1_xboole_0(X1) ) ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_21,axiom,
    ! [X1,X2] :
      ( lhs_atom21(X1,X2)
      | v1_xboole_0(X1) ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_22,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | v1_xboole_0(X1) ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_23,axiom,
    ! [X2] :
      ( lhs_atom16(X2)
      | ~ ( ~ v3_struct_0(X2)
          & l1_struct_0(X2) ) ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_24,axiom,
    ! [X2] :
      ( lhs_atom13(X2)
      | ( l1_rlvect_1(X2)
        & l2_vectsp_1(X2) ) ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_25,axiom,
    ! [X2] :
      ( lhs_atom12(X2)
      | ( l1_vectsp_1(X2)
        & l2_struct_0(X2) ) ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_26,axiom,
    ! [X2] :
      ( lhs_atom5(X2)
      | l1_struct_0(X2) ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_27,axiom,
    ! [X2] :
      ( lhs_atom10(X2)
      | l1_group_1(X2) ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_28,axiom,
    ! [X2] :
      ( lhs_atom9(X2)
      | l2_struct_0(X2) ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_29,axiom,
    ! [X2] :
      ( lhs_atom8(X2)
      | l1_struct_0(X2) ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_30,axiom,
    ! [X2] :
      ( lhs_atom30(X2)
      | X2 = k1_xboole_0 ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_31,axiom,
    ! [X2] :
      ( lhs_atom24(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_32,axiom,
    ! [X2] :
      ( lhs_atom17(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_33,axiom,
    ( lhs_atom18
    | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_34,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_35,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_36,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_37,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_38,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_39,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_40,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_41,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_42,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_43,plain,
    ! [X4,X3,X1,X2] :
      ( lhs_atom22(X4,X3,X1,X2)
      | ~ ( ~ v1_xboole_0(X2)
          & v1_funct_1(X3)
          & v1_funct_2(X3,X2,X1)
          & m1_relset_1(X3,X2,X1)
          & m1_subset_1(X4,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_44,plain,
    ! [X4,X3,X1,X2] :
      ( lhs_atom7(X4,X3,X1,X2)
      | ~ ( ~ v1_xboole_0(X2)
          & v1_funct_1(X3)
          & v1_funct_2(X3,X2,X1)
          & m1_relset_1(X3,X2,X1)
          & m1_subset_1(X4,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_45,plain,
    ! [X3,X1,X2] :
      ( lhs_atom6(X3,X1,X2)
      | ~ ( ~ v3_struct_0(X2)
          & v3_rlvect_1(X2)
          & v4_rlvect_1(X2)
          & v5_rlvect_1(X2)
          & v6_rlvect_1(X2)
          & v4_group_1(X2)
          & v6_vectsp_1(X2)
          & v7_vectsp_1(X2)
          & v8_vectsp_1(X2)
          & l3_vectsp_1(X2)
          & ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & v6_rlvect_1(X1)
          & v5_vectsp_2(X1,X2)
          & l1_vectsp_2(X1,X2)
          & m1_rmod_4(X3,X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_46,axiom,
    ! [X1,X2] :
      ( lhs_atom26(X1,X2)
      | ~ ! [X3] :
            ( r2_hidden(X3,X2)
          <=> r2_hidden(X3,X1) ) ),
    c_0_3 ).

fof(c_0_47,plain,
    ! [X3,X1,X2] :
      ( lhs_atom23(X3,X1,X2)
      | ~ m1_relset_1(X3,X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_48,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom15(X3,X1,X2)
      | m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
    c_0_5 ).

fof(c_0_49,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom15(X3,X1,X2)
      | m1_relset_1(X3,X2,X1) ),
    c_0_6 ).

fof(c_0_50,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom29(X3,X2)
      | ~ ( r2_hidden(X2,X1)
          & m1_subset_1(X1,k1_zfmisc_1(X3)) ) ),
    c_0_7 ).

fof(c_0_51,plain,
    ! [X3,X1,X2] :
      ( lhs_atom14(X3,X1,X2)
      | ( ~ v1_xboole_0(X3)
        & v1_fraenkel(X3) ) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_52,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom2(X3,X1,X2)
      | v1_relat_1(X3) ),
    c_0_9 ).

fof(c_0_53,plain,
    ! [X1,X2] :
      ( lhs_atom28(X1,X2)
      | ~ r1_tarski(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_54,plain,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ r2_hidden(X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_55,axiom,
    ! [X1,X2] :
      ( lhs_atom25(X1,X2)
      | v1_xboole_0(X1)
      | r2_hidden(X2,X1) ),
    c_0_12 ).

fof(c_0_56,axiom,
    ! [X2] :
      ( lhs_atom11(X2)
      | ! [X1] :
          ( l1_vectsp_2(X1,X2)
         => l1_rlvect_1(X1) ) ),
    c_0_13 ).

fof(c_0_57,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_14]) ).

fof(c_0_58,axiom,
    ! [X2] :
      ( lhs_atom5(X2)
      | m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2)) ),
    c_0_15 ).

fof(c_0_59,axiom,
    ! [X1,X2] :
      ( lhs_atom27(X1,X2)
      | r1_tarski(X2,X1) ),
    c_0_16 ).

fof(c_0_60,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | m1_subset_1(X2,X1) ),
    c_0_17 ).

fof(c_0_61,plain,
    ! [X2] :
      ( lhs_atom11(X2)
      | ? [X1] :
          ( l1_vectsp_2(X1,X2)
          & ~ v3_struct_0(X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_62,axiom,
    ! [X2] :
      ( lhs_atom11(X2)
      | ? [X1] : l1_vectsp_2(X1,X2) ),
    c_0_19 ).

fof(c_0_63,plain,
    ! [X1,X2] :
      ( lhs_atom19(X1,X2)
      | ~ ( ~ v1_xboole_0(X2)
          & ~ v1_xboole_0(X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_64,axiom,
    ! [X1,X2] :
      ( lhs_atom21(X1,X2)
      | v1_xboole_0(X1) ),
    c_0_21 ).

fof(c_0_65,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | v1_xboole_0(X1) ),
    c_0_22 ).

fof(c_0_66,plain,
    ! [X2] :
      ( lhs_atom16(X2)
      | ~ ( ~ v3_struct_0(X2)
          & l1_struct_0(X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_67,axiom,
    ! [X2] :
      ( lhs_atom13(X2)
      | ( l1_rlvect_1(X2)
        & l2_vectsp_1(X2) ) ),
    c_0_24 ).

fof(c_0_68,axiom,
    ! [X2] :
      ( lhs_atom12(X2)
      | ( l1_vectsp_1(X2)
        & l2_struct_0(X2) ) ),
    c_0_25 ).

fof(c_0_69,axiom,
    ! [X2] :
      ( lhs_atom5(X2)
      | l1_struct_0(X2) ),
    c_0_26 ).

fof(c_0_70,axiom,
    ! [X2] :
      ( lhs_atom10(X2)
      | l1_group_1(X2) ),
    c_0_27 ).

fof(c_0_71,axiom,
    ! [X2] :
      ( lhs_atom9(X2)
      | l2_struct_0(X2) ),
    c_0_28 ).

fof(c_0_72,axiom,
    ! [X2] :
      ( lhs_atom8(X2)
      | l1_struct_0(X2) ),
    c_0_29 ).

fof(c_0_73,axiom,
    ! [X2] :
      ( lhs_atom30(X2)
      | X2 = k1_xboole_0 ),
    c_0_30 ).

fof(c_0_74,plain,
    ! [X2] : lhs_atom24(X2),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_75,plain,
    ! [X2] : lhs_atom17(X2),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_76,plain,
    lhs_atom18,
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_77,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_78,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_79,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_80,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_81,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_82,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_83,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_84,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_85,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_86,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom22(X5,X6,X7,X8)
      | v1_xboole_0(X8)
      | ~ v1_funct_1(X6)
      | ~ v1_funct_2(X6,X8,X7)
      | ~ m1_relset_1(X6,X8,X7)
      | ~ m1_subset_1(X5,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])]) ).

fof(c_0_87,plain,
    ! [X5,X6,X7,X8] :
      ( lhs_atom7(X5,X6,X7,X8)
      | v1_xboole_0(X8)
      | ~ v1_funct_1(X6)
      | ~ v1_funct_2(X6,X8,X7)
      | ~ m1_relset_1(X6,X8,X7)
      | ~ m1_subset_1(X5,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).

fof(c_0_88,plain,
    ! [X4,X5,X6] :
      ( lhs_atom6(X4,X5,X6)
      | v3_struct_0(X6)
      | ~ v3_rlvect_1(X6)
      | ~ v4_rlvect_1(X6)
      | ~ v5_rlvect_1(X6)
      | ~ v6_rlvect_1(X6)
      | ~ v4_group_1(X6)
      | ~ v6_vectsp_1(X6)
      | ~ v7_vectsp_1(X6)
      | ~ v8_vectsp_1(X6)
      | ~ l3_vectsp_1(X6)
      | v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v5_vectsp_2(X5,X6)
      | ~ l1_vectsp_2(X5,X6)
      | ~ m1_rmod_4(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).

fof(c_0_89,plain,
    ! [X4,X5] :
      ( ( ~ r2_hidden(esk4_2(X4,X5),X5)
        | ~ r2_hidden(esk4_2(X4,X5),X4)
        | lhs_atom26(X4,X5) )
      & ( r2_hidden(esk4_2(X4,X5),X5)
        | r2_hidden(esk4_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_46])])])]) ).

fof(c_0_90,plain,
    ! [X4,X5,X6] :
      ( lhs_atom23(X4,X5,X6)
      | ~ m1_relset_1(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_47]) ).

fof(c_0_91,plain,
    ! [X4,X5,X6] :
      ( lhs_atom15(X4,X5,X6)
      | m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X6,X5))) ),
    inference(variable_rename,[status(thm)],[c_0_48]) ).

fof(c_0_92,plain,
    ! [X4,X5,X6] :
      ( lhs_atom15(X4,X5,X6)
      | m1_relset_1(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_49]) ).

fof(c_0_93,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_50])]) ).

fof(c_0_94,plain,
    ! [X4,X5,X6] :
      ( ( ~ v1_xboole_0(X4)
        | lhs_atom14(X4,X5,X6) )
      & ( v1_fraenkel(X4)
        | lhs_atom14(X4,X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_51])])])]) ).

fof(c_0_95,plain,
    ! [X4,X5,X6] :
      ( lhs_atom2(X4,X5,X6)
      | v1_relat_1(X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_52])])]) ).

fof(c_0_96,plain,
    ! [X3,X4] :
      ( lhs_atom28(X3,X4)
      | ~ r1_tarski(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_53]) ).

fof(c_0_97,plain,
    ! [X3,X4] :
      ( lhs_atom1(X3,X4)
      | ~ r2_hidden(X3,X4) ),
    inference(variable_rename,[status(thm)],[c_0_54]) ).

fof(c_0_98,plain,
    ! [X3,X4] :
      ( lhs_atom25(X3,X4)
      | v1_xboole_0(X3)
      | r2_hidden(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_55]) ).

fof(c_0_99,plain,
    ! [X3,X4] :
      ( lhs_atom11(X3)
      | ~ l1_vectsp_2(X4,X3)
      | l1_rlvect_1(X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).

fof(c_0_100,plain,
    ! [X3] :
      ( ( m1_subset_1(esk2_1(X3),k1_zfmisc_1(X3))
        | lhs_atom20(X3) )
      & ( ~ v1_xboole_0(esk2_1(X3))
        | lhs_atom20(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_57])])]) ).

fof(c_0_101,plain,
    ! [X3] :
      ( lhs_atom5(X3)
      | m1_subset_1(k1_rlvect_1(X3),u1_struct_0(X3)) ),
    inference(variable_rename,[status(thm)],[c_0_58]) ).

fof(c_0_102,plain,
    ! [X3,X4] :
      ( lhs_atom27(X3,X4)
      | r1_tarski(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_59]) ).

fof(c_0_103,plain,
    ! [X3,X4] :
      ( lhs_atom1(X3,X4)
      | m1_subset_1(X4,X3) ),
    inference(variable_rename,[status(thm)],[c_0_60]) ).

fof(c_0_104,plain,
    ! [X3] :
      ( ( l1_vectsp_2(esk3_1(X3),X3)
        | lhs_atom11(X3) )
      & ( ~ v3_struct_0(esk3_1(X3))
        | lhs_atom11(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_61])])]) ).

fof(c_0_105,plain,
    ! [X3] :
      ( lhs_atom11(X3)
      | l1_vectsp_2(esk1_1(X3),X3) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_62])]) ).

fof(c_0_106,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_63])]) ).

fof(c_0_107,plain,
    ! [X3,X4] :
      ( lhs_atom21(X3,X4)
      | v1_xboole_0(X3) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_64])])]) ).

fof(c_0_108,plain,
    ! [X3,X4] :
      ( lhs_atom3(X3,X4)
      | v1_xboole_0(X3) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_65])])]) ).

fof(c_0_109,plain,
    ! [X3] :
      ( lhs_atom16(X3)
      | v3_struct_0(X3)
      | ~ l1_struct_0(X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).

fof(c_0_110,plain,
    ! [X3] :
      ( ( l1_rlvect_1(X3)
        | lhs_atom13(X3) )
      & ( l2_vectsp_1(X3)
        | lhs_atom13(X3) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_67])]) ).

fof(c_0_111,plain,
    ! [X3] :
      ( ( l1_vectsp_1(X3)
        | lhs_atom12(X3) )
      & ( l2_struct_0(X3)
        | lhs_atom12(X3) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_68])]) ).

fof(c_0_112,plain,
    ! [X3] :
      ( lhs_atom5(X3)
      | l1_struct_0(X3) ),
    inference(variable_rename,[status(thm)],[c_0_69]) ).

fof(c_0_113,plain,
    ! [X3] :
      ( lhs_atom10(X3)
      | l1_group_1(X3) ),
    inference(variable_rename,[status(thm)],[c_0_70]) ).

fof(c_0_114,plain,
    ! [X3] :
      ( lhs_atom9(X3)
      | l2_struct_0(X3) ),
    inference(variable_rename,[status(thm)],[c_0_71]) ).

fof(c_0_115,plain,
    ! [X3] :
      ( lhs_atom8(X3)
      | l1_struct_0(X3) ),
    inference(variable_rename,[status(thm)],[c_0_72]) ).

fof(c_0_116,plain,
    ! [X3] :
      ( lhs_atom30(X3)
      | X3 = k1_xboole_0 ),
    inference(variable_rename,[status(thm)],[c_0_73]) ).

fof(c_0_117,plain,
    ! [X3] : lhs_atom24(X3),
    inference(variable_rename,[status(thm)],[c_0_74]) ).

fof(c_0_118,plain,
    ! [X3] : lhs_atom17(X3),
    inference(variable_rename,[status(thm)],[c_0_75]) ).

fof(c_0_119,plain,
    lhs_atom18,
    c_0_76 ).

fof(c_0_120,plain,
    lhs_atom4,
    c_0_77 ).

fof(c_0_121,plain,
    lhs_atom4,
    c_0_78 ).

fof(c_0_122,plain,
    lhs_atom4,
    c_0_79 ).

fof(c_0_123,plain,
    lhs_atom4,
    c_0_80 ).

fof(c_0_124,plain,
    lhs_atom4,
    c_0_81 ).

fof(c_0_125,plain,
    lhs_atom4,
    c_0_82 ).

fof(c_0_126,plain,
    lhs_atom4,
    c_0_83 ).

fof(c_0_127,plain,
    lhs_atom4,
    c_0_84 ).

fof(c_0_128,plain,
    lhs_atom4,
    c_0_85 ).

cnf(c_0_129,plain,
    ( v1_xboole_0(X2)
    | lhs_atom22(X1,X3,X4,X2)
    | ~ m1_subset_1(X1,X2)
    | ~ m1_relset_1(X3,X2,X4)
    | ~ v1_funct_2(X3,X2,X4)
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_130,plain,
    ( v1_xboole_0(X2)
    | lhs_atom7(X1,X3,X4,X2)
    | ~ m1_subset_1(X1,X2)
    | ~ m1_relset_1(X3,X2,X4)
    | ~ v1_funct_2(X3,X2,X4)
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_131,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | lhs_atom6(X1,X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_132,plain,
    ( lhs_atom26(X1,X2)
    | ~ r2_hidden(esk4_2(X1,X2),X1)
    | ~ r2_hidden(esk4_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_133,plain,
    ( lhs_atom23(X1,X3,X2)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_134,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | lhs_atom15(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_135,plain,
    ( m1_relset_1(X1,X2,X3)
    | lhs_atom15(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_136,plain,
    ( lhs_atom26(X1,X2)
    | r2_hidden(esk4_2(X1,X2),X1)
    | r2_hidden(esk4_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_137,plain,
    ( lhs_atom29(X2,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r2_hidden(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_138,plain,
    ( lhs_atom14(X1,X2,X3)
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_139,plain,
    ( lhs_atom14(X1,X2,X3)
    | v1_fraenkel(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_140,plain,
    ( v1_relat_1(X1)
    | lhs_atom2(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_141,plain,
    ( lhs_atom28(X2,X1)
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_142,plain,
    ( lhs_atom1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_143,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | lhs_atom25(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_144,plain,
    ( l1_rlvect_1(X1)
    | lhs_atom11(X2)
    | ~ l1_vectsp_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_145,plain,
    ( lhs_atom20(X1)
    | m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_146,plain,
    ( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
    | lhs_atom5(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_147,plain,
    ( r1_tarski(X1,X2)
    | lhs_atom27(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_148,plain,
    ( m1_subset_1(X1,X2)
    | lhs_atom1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_149,plain,
    ( lhs_atom11(X1)
    | l1_vectsp_2(esk3_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_150,plain,
    ( l1_vectsp_2(esk1_1(X1),X1)
    | lhs_atom11(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_151,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | lhs_atom19(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_152,plain,
    ( lhs_atom11(X1)
    | ~ v3_struct_0(esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_153,plain,
    ( lhs_atom20(X1)
    | ~ v1_xboole_0(esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_154,plain,
    ( v1_xboole_0(X1)
    | lhs_atom21(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_155,plain,
    ( v1_xboole_0(X1)
    | lhs_atom3(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_156,plain,
    ( v3_struct_0(X1)
    | lhs_atom16(X1)
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_157,plain,
    ( lhs_atom13(X1)
    | l1_rlvect_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_158,plain,
    ( lhs_atom13(X1)
    | l2_vectsp_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_159,plain,
    ( lhs_atom12(X1)
    | l1_vectsp_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_160,plain,
    ( lhs_atom12(X1)
    | l2_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_161,plain,
    ( l1_struct_0(X1)
    | lhs_atom5(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_162,plain,
    ( l1_group_1(X1)
    | lhs_atom10(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_163,plain,
    ( l2_struct_0(X1)
    | lhs_atom9(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_164,plain,
    ( l1_struct_0(X1)
    | lhs_atom8(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_165,plain,
    ( X1 = k1_xboole_0
    | lhs_atom30(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_166,plain,
    lhs_atom24(X1),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_167,plain,
    lhs_atom17(X1),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_168,plain,
    lhs_atom18,
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_169,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_170,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_171,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_172,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_173,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_174,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_175,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_176,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_177,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_178,plain,
    ( v1_xboole_0(X2)
    | lhs_atom22(X1,X3,X4,X2)
    | ~ m1_subset_1(X1,X2)
    | ~ m1_relset_1(X3,X2,X4)
    | ~ v1_funct_2(X3,X2,X4)
    | ~ v1_funct_1(X3) ),
    c_0_129,
    [final] ).

cnf(c_0_179,plain,
    ( v1_xboole_0(X2)
    | lhs_atom7(X1,X3,X4,X2)
    | ~ m1_subset_1(X1,X2)
    | ~ m1_relset_1(X3,X2,X4)
    | ~ v1_funct_2(X3,X2,X4)
    | ~ v1_funct_1(X3) ),
    c_0_130,
    [final] ).

cnf(c_0_180,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | lhs_atom6(X1,X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    c_0_131,
    [final] ).

cnf(c_0_181,plain,
    ( lhs_atom26(X1,X2)
    | ~ r2_hidden(esk4_2(X1,X2),X1)
    | ~ r2_hidden(esk4_2(X1,X2),X2) ),
    c_0_132,
    [final] ).

cnf(c_0_182,plain,
    ( lhs_atom23(X1,X3,X2)
    | ~ m1_relset_1(X1,X2,X3) ),
    c_0_133,
    [final] ).

cnf(c_0_183,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | lhs_atom15(X1,X3,X2) ),
    c_0_134,
    [final] ).

cnf(c_0_184,plain,
    ( m1_relset_1(X1,X2,X3)
    | lhs_atom15(X1,X3,X2) ),
    c_0_135,
    [final] ).

cnf(c_0_185,plain,
    ( lhs_atom26(X1,X2)
    | r2_hidden(esk4_2(X1,X2),X1)
    | r2_hidden(esk4_2(X1,X2),X2) ),
    c_0_136,
    [final] ).

cnf(c_0_186,plain,
    ( lhs_atom29(X2,X3)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r2_hidden(X3,X1) ),
    c_0_137,
    [final] ).

cnf(c_0_187,plain,
    ( lhs_atom14(X1,X2,X3)
    | ~ v1_xboole_0(X1) ),
    c_0_138,
    [final] ).

cnf(c_0_188,plain,
    ( lhs_atom14(X1,X2,X3)
    | v1_fraenkel(X1) ),
    c_0_139,
    [final] ).

cnf(c_0_189,plain,
    ( v1_relat_1(X1)
    | lhs_atom2(X1,X2,X3) ),
    c_0_140,
    [final] ).

cnf(c_0_190,plain,
    ( lhs_atom28(X2,X1)
    | ~ r1_tarski(X1,X2) ),
    c_0_141,
    [final] ).

cnf(c_0_191,plain,
    ( lhs_atom1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    c_0_142,
    [final] ).

cnf(c_0_192,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | lhs_atom25(X2,X1) ),
    c_0_143,
    [final] ).

cnf(c_0_193,plain,
    ( l1_rlvect_1(X1)
    | lhs_atom11(X2)
    | ~ l1_vectsp_2(X1,X2) ),
    c_0_144,
    [final] ).

cnf(c_0_194,plain,
    ( lhs_atom20(X1)
    | m1_subset_1(esk2_1(X1),k1_zfmisc_1(X1)) ),
    c_0_145,
    [final] ).

cnf(c_0_195,plain,
    ( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
    | lhs_atom5(X1) ),
    c_0_146,
    [final] ).

cnf(c_0_196,plain,
    ( r1_tarski(X1,X2)
    | lhs_atom27(X2,X1) ),
    c_0_147,
    [final] ).

cnf(c_0_197,plain,
    ( m1_subset_1(X1,X2)
    | lhs_atom1(X2,X1) ),
    c_0_148,
    [final] ).

cnf(c_0_198,plain,
    ( lhs_atom11(X1)
    | l1_vectsp_2(esk3_1(X1),X1) ),
    c_0_149,
    [final] ).

cnf(c_0_199,plain,
    ( l1_vectsp_2(esk1_1(X1),X1)
    | lhs_atom11(X1) ),
    c_0_150,
    [final] ).

cnf(c_0_200,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | lhs_atom19(X1,X2) ),
    c_0_151,
    [final] ).

cnf(c_0_201,plain,
    ( lhs_atom11(X1)
    | ~ v3_struct_0(esk3_1(X1)) ),
    c_0_152,
    [final] ).

cnf(c_0_202,plain,
    ( lhs_atom20(X1)
    | ~ v1_xboole_0(esk2_1(X1)) ),
    c_0_153,
    [final] ).

cnf(c_0_203,plain,
    ( v1_xboole_0(X1)
    | lhs_atom21(X1,X2) ),
    c_0_154,
    [final] ).

cnf(c_0_204,plain,
    ( v1_xboole_0(X1)
    | lhs_atom3(X1,X2) ),
    c_0_155,
    [final] ).

cnf(c_0_205,plain,
    ( v3_struct_0(X1)
    | lhs_atom16(X1)
    | ~ l1_struct_0(X1) ),
    c_0_156,
    [final] ).

cnf(c_0_206,plain,
    ( lhs_atom13(X1)
    | l1_rlvect_1(X1) ),
    c_0_157,
    [final] ).

cnf(c_0_207,plain,
    ( lhs_atom13(X1)
    | l2_vectsp_1(X1) ),
    c_0_158,
    [final] ).

cnf(c_0_208,plain,
    ( lhs_atom12(X1)
    | l1_vectsp_1(X1) ),
    c_0_159,
    [final] ).

cnf(c_0_209,plain,
    ( lhs_atom12(X1)
    | l2_struct_0(X1) ),
    c_0_160,
    [final] ).

cnf(c_0_210,plain,
    ( l1_struct_0(X1)
    | lhs_atom5(X1) ),
    c_0_161,
    [final] ).

cnf(c_0_211,plain,
    ( l1_group_1(X1)
    | lhs_atom10(X1) ),
    c_0_162,
    [final] ).

cnf(c_0_212,plain,
    ( l2_struct_0(X1)
    | lhs_atom9(X1) ),
    c_0_163,
    [final] ).

cnf(c_0_213,plain,
    ( l1_struct_0(X1)
    | lhs_atom8(X1) ),
    c_0_164,
    [final] ).

cnf(c_0_214,plain,
    ( X1 = k1_xboole_0
    | lhs_atom30(X1) ),
    c_0_165,
    [final] ).

cnf(c_0_215,plain,
    lhs_atom24(X1),
    c_0_166,
    [final] ).

cnf(c_0_216,plain,
    lhs_atom17(X1),
    c_0_167,
    [final] ).

cnf(c_0_217,plain,
    lhs_atom18,
    c_0_168,
    [final] ).

cnf(c_0_218,plain,
    lhs_atom4,
    c_0_169,
    [final] ).

cnf(c_0_219,plain,
    lhs_atom4,
    c_0_170,
    [final] ).

cnf(c_0_220,plain,
    lhs_atom4,
    c_0_171,
    [final] ).

cnf(c_0_221,plain,
    lhs_atom4,
    c_0_172,
    [final] ).

cnf(c_0_222,plain,
    lhs_atom4,
    c_0_173,
    [final] ).

cnf(c_0_223,plain,
    lhs_atom4,
    c_0_174,
    [final] ).

cnf(c_0_224,plain,
    lhs_atom4,
    c_0_175,
    [final] ).

cnf(c_0_225,plain,
    lhs_atom4,
    c_0_176,
    [final] ).

cnf(c_0_226,plain,
    lhs_atom4,
    c_0_177,
    [final] ).

% End CNF derivation
cnf(c_0_178_0,axiom,
    ( k8_funct_2(X2,X4,X3,X1) = k1_funct_1(X3,X1)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2)
    | ~ m1_relset_1(X3,X2,X4)
    | ~ v1_funct_2(X3,X2,X4)
    | ~ v1_funct_1(X3) ),
    inference(unfold_definition,[status(thm)],[c_0_178,def_lhs_atom22]) ).

cnf(c_0_179_0,axiom,
    ( m1_subset_1(k8_funct_2(X2,X4,X3,X1),X4)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2)
    | ~ m1_relset_1(X3,X2,X4)
    | ~ v1_funct_2(X3,X2,X4)
    | ~ v1_funct_1(X3) ),
    inference(unfold_definition,[status(thm)],[c_0_179,def_lhs_atom7]) ).

cnf(c_0_180_0,axiom,
    ( m1_subset_1(k5_rmod_4(X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_180,def_lhs_atom6]) ).

cnf(c_0_181_0,axiom,
    ( X2 = X1
    | ~ r2_hidden(sk1_esk4_2(X1,X2),X1)
    | ~ r2_hidden(sk1_esk4_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_181,def_lhs_atom26]) ).

cnf(c_0_182_0,axiom,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_182,def_lhs_atom23]) ).

cnf(c_0_183_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_183,def_lhs_atom15]) ).

cnf(c_0_184_0,axiom,
    ( ~ m2_relset_1(X1,X2,X3)
    | m1_relset_1(X1,X2,X3) ),
    inference(unfold_definition,[status(thm)],[c_0_184,def_lhs_atom15]) ).

cnf(c_0_185_0,axiom,
    ( X2 = X1
    | r2_hidden(sk1_esk4_2(X1,X2),X1)
    | r2_hidden(sk1_esk4_2(X1,X2),X2) ),
    inference(unfold_definition,[status(thm)],[c_0_185,def_lhs_atom26]) ).

cnf(c_0_186_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_186,def_lhs_atom29]) ).

cnf(c_0_187_0,axiom,
    ( ~ m1_fraenkel(X1,X3,X2)
    | ~ v1_xboole_0(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_187,def_lhs_atom14]) ).

cnf(c_0_188_0,axiom,
    ( ~ m1_fraenkel(X1,X3,X2)
    | v1_fraenkel(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_188,def_lhs_atom14]) ).

cnf(c_0_189_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_189,def_lhs_atom2]) ).

cnf(c_0_190_0,axiom,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_190,def_lhs_atom28]) ).

cnf(c_0_191_0,axiom,
    ( ~ r2_hidden(X2,X1)
    | ~ r2_hidden(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_191,def_lhs_atom1]) ).

cnf(c_0_192_0,axiom,
    ( ~ m1_subset_1(X1,X2)
    | r2_hidden(X1,X2)
    | v1_xboole_0(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_192,def_lhs_atom25]) ).

cnf(c_0_193_0,axiom,
    ( ~ l1_struct_0(X2)
    | l1_rlvect_1(X1)
    | ~ l1_vectsp_2(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_193,def_lhs_atom11]) ).

cnf(c_0_194_0,axiom,
    ( v1_xboole_0(X1)
    | m1_subset_1(sk1_esk2_1(X1),k1_zfmisc_1(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_194,def_lhs_atom20]) ).

cnf(c_0_195_0,axiom,
    ( ~ l2_struct_0(X1)
    | m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_195,def_lhs_atom5]) ).

cnf(c_0_196_0,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r1_tarski(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_196,def_lhs_atom27]) ).

cnf(c_0_197_0,axiom,
    ( ~ r2_hidden(X1,X2)
    | m1_subset_1(X1,X2) ),
    inference(unfold_definition,[status(thm)],[c_0_197,def_lhs_atom1]) ).

cnf(c_0_198_0,axiom,
    ( ~ l1_struct_0(X1)
    | l1_vectsp_2(sk1_esk3_1(X1),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_198,def_lhs_atom11]) ).

cnf(c_0_199_0,axiom,
    ( ~ l1_struct_0(X1)
    | l1_vectsp_2(sk1_esk1_1(X1),X1) ),
    inference(unfold_definition,[status(thm)],[c_0_199,def_lhs_atom11]) ).

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,
    ( ~ l1_struct_0(X1)
    | ~ v3_struct_0(sk1_esk3_1(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_201,def_lhs_atom11]) ).

cnf(c_0_202_0,axiom,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(sk1_esk2_1(X1)) ),
    inference(unfold_definition,[status(thm)],[c_0_202,def_lhs_atom20]) ).

cnf(c_0_203_0,axiom,
    ( k1_fraenkel(X2,X1) = k1_funct_2(X2,X1)
    | v1_xboole_0(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_203,def_lhs_atom21]) ).

cnf(c_0_204_0,axiom,
    ( m1_fraenkel(k1_fraenkel(X2,X1),X2,X1)
    | v1_xboole_0(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_204,def_lhs_atom3]) ).

cnf(c_0_205_0,axiom,
    ( ~ v1_xboole_0(u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_205,def_lhs_atom16]) ).

cnf(c_0_206_0,axiom,
    ( ~ l3_vectsp_1(X1)
    | l1_rlvect_1(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_206,def_lhs_atom13]) ).

cnf(c_0_207_0,axiom,
    ( ~ l3_vectsp_1(X1)
    | l2_vectsp_1(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_207,def_lhs_atom13]) ).

cnf(c_0_208_0,axiom,
    ( ~ l2_vectsp_1(X1)
    | l1_vectsp_1(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_208,def_lhs_atom12]) ).

cnf(c_0_209_0,axiom,
    ( ~ l2_vectsp_1(X1)
    | l2_struct_0(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_209,def_lhs_atom12]) ).

cnf(c_0_210_0,axiom,
    ( ~ l2_struct_0(X1)
    | l1_struct_0(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_210,def_lhs_atom5]) ).

cnf(c_0_211_0,axiom,
    ( ~ l1_vectsp_1(X1)
    | l1_group_1(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_211,def_lhs_atom10]) ).

cnf(c_0_212_0,axiom,
    ( ~ l1_rlvect_1(X1)
    | l2_struct_0(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_212,def_lhs_atom9]) ).

cnf(c_0_213_0,axiom,
    ( ~ l1_group_1(X1)
    | l1_struct_0(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_213,def_lhs_atom8]) ).

cnf(c_0_214_0,axiom,
    ( ~ v1_xboole_0(X1)
    | X1 = k1_xboole_0 ),
    inference(unfold_definition,[status(thm)],[c_0_214,def_lhs_atom30]) ).

cnf(c_0_215_0,axiom,
    r1_tarski(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_215,def_lhs_atom24]) ).

cnf(c_0_216_0,axiom,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(unfold_definition,[status(thm)],[c_0_216,def_lhs_atom17]) ).

cnf(c_0_217_0,axiom,
    v1_xboole_0(k1_xboole_0),
    inference(unfold_definition,[status(thm)],[c_0_217,def_lhs_atom18]) ).

cnf(c_0_218_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_218,def_lhs_atom4]) ).

cnf(c_0_219_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_219,def_lhs_atom4]) ).

cnf(c_0_220_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_220,def_lhs_atom4]) ).

cnf(c_0_221_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_221,def_lhs_atom4]) ).

cnf(c_0_222_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_222,def_lhs_atom4]) ).

cnf(c_0_223_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_223,def_lhs_atom4]) ).

cnf(c_0_224_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_224,def_lhs_atom4]) ).

cnf(c_0_225_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_225,def_lhs_atom4]) ).

cnf(c_0_226_0,axiom,
    $true,
    inference(unfold_definition,[status(thm)],[c_0_226,def_lhs_atom4]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X2,X3,X4] :
      ( ( ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v4_group_1(X2)
        & v6_vectsp_1(X2)
        & v7_vectsp_1(X2)
        & v8_vectsp_1(X2)
        & l3_vectsp_1(X2)
        & ~ v3_struct_0(X3)
        & v3_rlvect_1(X3)
        & v4_rlvect_1(X3)
        & v5_rlvect_1(X3)
        & v6_rlvect_1(X3)
        & v5_vectsp_2(X3,X2)
        & l1_vectsp_2(X3,X2)
        & m1_rmod_4(X4,X2,X3) )
     => ( r2_hidden(X1,a_3_0_rmod_4(X2,X3,X4))
      <=> ? [X5] :
            ( m1_subset_1(X5,u1_struct_0(X3))
            & X1 = X5
            & k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X4,X5) != k1_rlvect_1(X2) ) ) ),
    file('<stdin>',fraenkel_a_3_0_rmod_4) ).

fof(c_0_1_002,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ! [X5] :
                      ( m2_rmod_4(X5,X1,X2,X3)
                     => ( r1_tarski(X3,X4)
                       => m2_rmod_4(X5,X1,X2,X4) ) ) ) ) ) ),
    file('<stdin>',t25_rmod_4) ).

fof(c_0_2_003,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ( v1_rmod_5(X3,X1,X2)
              <=> ! [X4] :
                    ( m2_rmod_4(X4,X1,X2,X3)
                   => ( k5_rmod_4(X1,X2,X4) = k1_rlvect_1(X2)
                     => k2_rmod_4(X1,X2,X4) = k1_xboole_0 ) ) ) ) ) ),
    file('<stdin>',d1_rmod_5) ).

fof(c_0_3_004,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
     => ! [X4] :
          ( m2_rmod_4(X4,X1,X2,X3)
         => m1_rmod_4(X4,X1,X2) ) ),
    file('<stdin>',dt_m2_rmod_4) ).

fof(c_0_4_005,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
     => ? [X4] : m2_rmod_4(X4,X1,X2,X3) ),
    file('<stdin>',existence_m2_rmod_4) ).

fof(c_0_5_006,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1) )
     => ! [X3] :
          ( m1_rmod_4(X3,X1,X2)
         => m2_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X1))) ) ),
    file('<stdin>',dt_m1_rmod_4) ).

fof(c_0_6_007,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X2)
        & m1_fraenkel(X3,X1,X2) )
     => ! [X4] :
          ( m2_fraenkel(X4,X1,X2,X3)
         => ( v1_funct_1(X4)
            & v1_funct_2(X4,X1,X2)
            & m2_relset_1(X4,X1,X2) ) ) ),
    file('<stdin>',dt_m2_fraenkel) ).

fof(c_0_7_008,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X2)
        & m1_fraenkel(X3,X1,X2) )
     => ! [X4] :
          ( m2_fraenkel(X4,X1,X2,X3)
        <=> m1_subset_1(X4,X3) ) ),
    file('<stdin>',redefinition_m2_fraenkel) ).

fof(c_0_8_009,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X2)
        & m1_fraenkel(X3,X1,X2) )
     => ? [X4] : m2_fraenkel(X4,X1,X2,X3) ),
    file('<stdin>',existence_m2_fraenkel) ).

fof(c_0_9_010,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_rmod_4(X3,X1,X2) )
     => ( v1_finset_1(k2_rmod_4(X1,X2,X3))
        & m1_subset_1(k2_rmod_4(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X2))) ) ),
    file('<stdin>',dt_k2_rmod_4) ).

fof(c_0_10_011,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_rmod_4(X3,X1,X2)
             => k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3) ) ) ),
    file('<stdin>',d5_rmod_4) ).

fof(c_0_11_012,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1) )
     => ? [X3] : m1_rmod_4(X3,X1,X2) ),
    file('<stdin>',existence_m1_rmod_4) ).

fof(c_0_12_013,axiom,
    ! [X1,X2] :
    ? [X3] : m1_fraenkel(X3,X1,X2),
    file('<stdin>',existence_m1_fraenkel) ).

fof(c_0_13_014,axiom,
    ! [X1,X2] :
    ? [X3] : m1_relset_1(X3,X1,X2),
    file('<stdin>',existence_m1_relset_1) ).

fof(c_0_14_015,axiom,
    ! [X1,X2] :
    ? [X3] : m2_relset_1(X3,X1,X2),
    file('<stdin>',existence_m2_relset_1) ).

fof(c_0_15_016,axiom,
    ! [X1,X2,X3] :
      ~ ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3))
        & v1_xboole_0(X3) ),
    file('<stdin>',t5_subset) ).

fof(c_0_16_017,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2)
          & v1_finset_1(X2) ) ),
    file('<stdin>',rc2_rlvect_2) ).

fof(c_0_17_018,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2) ) ),
    file('<stdin>',rc5_struct_0) ).

fof(c_0_18_019,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    file('<stdin>',t7_boole) ).

fof(c_0_19_020,axiom,
    ! [X1] :
    ? [X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
      & v1_xboole_0(X2) ),
    file('<stdin>',rc2_subset_1) ).

fof(c_0_20_021,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    file('<stdin>',existence_m1_subset_1) ).

fof(c_0_21_022,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    file('<stdin>',t8_boole) ).

fof(c_0_22_023,axiom,
    ? [X1] : ~ v1_xboole_0(X1),
    file('<stdin>',rc2_xboole_0) ).

fof(c_0_23_024,axiom,
    ? [X1] :
      ( l1_struct_0(X1)
      & ~ v3_struct_0(X1) ),
    file('<stdin>',rc3_struct_0) ).

fof(c_0_24_025,axiom,
    ? [X1] :
      ( l2_struct_0(X1)
      & ~ v3_struct_0(X1) ),
    file('<stdin>',rc4_struct_0) ).

fof(c_0_25_026,axiom,
    ? [X1] : l1_group_1(X1),
    file('<stdin>',existence_l1_group_1) ).

fof(c_0_26_027,axiom,
    ? [X1] : l1_rlvect_1(X1),
    file('<stdin>',existence_l1_rlvect_1) ).

fof(c_0_27_028,axiom,
    ? [X1] : l1_struct_0(X1),
    file('<stdin>',existence_l1_struct_0) ).

fof(c_0_28_029,axiom,
    ? [X1] : l1_vectsp_1(X1),
    file('<stdin>',existence_l1_vectsp_1) ).

fof(c_0_29_030,axiom,
    ? [X1] : l2_struct_0(X1),
    file('<stdin>',existence_l2_struct_0) ).

fof(c_0_30_031,axiom,
    ? [X1] : l2_vectsp_1(X1),
    file('<stdin>',existence_l2_vectsp_1) ).

fof(c_0_31_032,axiom,
    ? [X1] : l3_vectsp_1(X1),
    file('<stdin>',existence_l3_vectsp_1) ).

fof(c_0_32_033,axiom,
    ? [X1] : v1_xboole_0(X1),
    file('<stdin>',rc1_xboole_0) ).

fof(c_0_33_034,plain,
    ! [X1,X2,X3,X4] :
      ( ( ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v4_group_1(X2)
        & v6_vectsp_1(X2)
        & v7_vectsp_1(X2)
        & v8_vectsp_1(X2)
        & l3_vectsp_1(X2)
        & ~ v3_struct_0(X3)
        & v3_rlvect_1(X3)
        & v4_rlvect_1(X3)
        & v5_rlvect_1(X3)
        & v6_rlvect_1(X3)
        & v5_vectsp_2(X3,X2)
        & l1_vectsp_2(X3,X2)
        & m1_rmod_4(X4,X2,X3) )
     => ( r2_hidden(X1,a_3_0_rmod_4(X2,X3,X4))
      <=> ? [X5] :
            ( m1_subset_1(X5,u1_struct_0(X3))
            & X1 = X5
            & k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X4,X5) != k1_rlvect_1(X2) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_34_035,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ! [X5] :
                      ( m2_rmod_4(X5,X1,X2,X3)
                     => ( r1_tarski(X3,X4)
                       => m2_rmod_4(X5,X1,X2,X4) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_35_036,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ( v1_rmod_5(X3,X1,X2)
              <=> ! [X4] :
                    ( m2_rmod_4(X4,X1,X2,X3)
                   => ( k5_rmod_4(X1,X2,X4) = k1_rlvect_1(X2)
                     => k2_rmod_4(X1,X2,X4) = k1_xboole_0 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_36_037,plain,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
     => ! [X4] :
          ( m2_rmod_4(X4,X1,X2,X3)
         => m1_rmod_4(X4,X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_37_038,plain,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
     => ? [X4] : m2_rmod_4(X4,X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_38_039,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1) )
     => ! [X3] :
          ( m1_rmod_4(X3,X1,X2)
         => m2_fraenkel(X3,u1_struct_0(X2),u1_struct_0(X1),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X1))) ) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_39_040,plain,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X2)
        & m1_fraenkel(X3,X1,X2) )
     => ! [X4] :
          ( m2_fraenkel(X4,X1,X2,X3)
         => ( v1_funct_1(X4)
            & v1_funct_2(X4,X1,X2)
            & m2_relset_1(X4,X1,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_40_041,plain,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X2)
        & m1_fraenkel(X3,X1,X2) )
     => ! [X4] :
          ( m2_fraenkel(X4,X1,X2,X3)
        <=> m1_subset_1(X4,X3) ) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_41_042,plain,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X2)
        & m1_fraenkel(X3,X1,X2) )
     => ? [X4] : m2_fraenkel(X4,X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_42_043,plain,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1)
        & m1_rmod_4(X3,X1,X2) )
     => ( v1_finset_1(k2_rmod_4(X1,X2,X3))
        & m1_subset_1(k2_rmod_4(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X2))) ) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_43_044,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_rmod_4(X3,X1,X2)
             => k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_44_045,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1)
        & ~ v3_struct_0(X2)
        & v3_rlvect_1(X2)
        & v4_rlvect_1(X2)
        & v5_rlvect_1(X2)
        & v6_rlvect_1(X2)
        & v5_vectsp_2(X2,X1)
        & l1_vectsp_2(X2,X1) )
     => ? [X3] : m1_rmod_4(X3,X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_45_046,axiom,
    ! [X1,X2] :
    ? [X3] : m1_fraenkel(X3,X1,X2),
    c_0_12 ).

fof(c_0_46_047,axiom,
    ! [X1,X2] :
    ? [X3] : m1_relset_1(X3,X1,X2),
    c_0_13 ).

fof(c_0_47_048,axiom,
    ! [X1,X2] :
    ? [X3] : m2_relset_1(X3,X1,X2),
    c_0_14 ).

fof(c_0_48_049,axiom,
    ! [X1,X2,X3] :
      ~ ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3))
        & v1_xboole_0(X3) ),
    c_0_15 ).

fof(c_0_49_050,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2)
          & v1_finset_1(X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_50_051,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
          & ~ v1_xboole_0(X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_51_052,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    c_0_18 ).

fof(c_0_52_053,axiom,
    ! [X1] :
    ? [X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
      & v1_xboole_0(X2) ),
    c_0_19 ).

fof(c_0_53_054,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    c_0_20 ).

fof(c_0_54_055,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    c_0_21 ).

fof(c_0_55_056,plain,
    ? [X1] : ~ v1_xboole_0(X1),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_56_057,plain,
    ? [X1] :
      ( l1_struct_0(X1)
      & ~ v3_struct_0(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_57_058,plain,
    ? [X1] :
      ( l2_struct_0(X1)
      & ~ v3_struct_0(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_58_059,axiom,
    ? [X1] : l1_group_1(X1),
    c_0_25 ).

fof(c_0_59_060,axiom,
    ? [X1] : l1_rlvect_1(X1),
    c_0_26 ).

fof(c_0_60_061,axiom,
    ? [X1] : l1_struct_0(X1),
    c_0_27 ).

fof(c_0_61_062,axiom,
    ? [X1] : l1_vectsp_1(X1),
    c_0_28 ).

fof(c_0_62_063,axiom,
    ? [X1] : l2_struct_0(X1),
    c_0_29 ).

fof(c_0_63_064,axiom,
    ? [X1] : l2_vectsp_1(X1),
    c_0_30 ).

fof(c_0_64_065,axiom,
    ? [X1] : l3_vectsp_1(X1),
    c_0_31 ).

fof(c_0_65_066,axiom,
    ? [X1] : v1_xboole_0(X1),
    c_0_32 ).

fof(c_0_66_067,plain,
    ! [X6,X7,X8,X9,X11] :
      ( ( m1_subset_1(esk8_4(X6,X7,X8,X9),u1_struct_0(X8))
        | ~ r2_hidden(X6,a_3_0_rmod_4(X7,X8,X9))
        | v3_struct_0(X7)
        | ~ v3_rlvect_1(X7)
        | ~ v4_rlvect_1(X7)
        | ~ v5_rlvect_1(X7)
        | ~ v6_rlvect_1(X7)
        | ~ v4_group_1(X7)
        | ~ v6_vectsp_1(X7)
        | ~ v7_vectsp_1(X7)
        | ~ v8_vectsp_1(X7)
        | ~ l3_vectsp_1(X7)
        | v3_struct_0(X8)
        | ~ v3_rlvect_1(X8)
        | ~ v4_rlvect_1(X8)
        | ~ v5_rlvect_1(X8)
        | ~ v6_rlvect_1(X8)
        | ~ v5_vectsp_2(X8,X7)
        | ~ l1_vectsp_2(X8,X7)
        | ~ m1_rmod_4(X9,X7,X8) )
      & ( X6 = esk8_4(X6,X7,X8,X9)
        | ~ r2_hidden(X6,a_3_0_rmod_4(X7,X8,X9))
        | v3_struct_0(X7)
        | ~ v3_rlvect_1(X7)
        | ~ v4_rlvect_1(X7)
        | ~ v5_rlvect_1(X7)
        | ~ v6_rlvect_1(X7)
        | ~ v4_group_1(X7)
        | ~ v6_vectsp_1(X7)
        | ~ v7_vectsp_1(X7)
        | ~ v8_vectsp_1(X7)
        | ~ l3_vectsp_1(X7)
        | v3_struct_0(X8)
        | ~ v3_rlvect_1(X8)
        | ~ v4_rlvect_1(X8)
        | ~ v5_rlvect_1(X8)
        | ~ v6_rlvect_1(X8)
        | ~ v5_vectsp_2(X8,X7)
        | ~ l1_vectsp_2(X8,X7)
        | ~ m1_rmod_4(X9,X7,X8) )
      & ( k8_funct_2(u1_struct_0(X8),u1_struct_0(X7),X9,esk8_4(X6,X7,X8,X9)) != k1_rlvect_1(X7)
        | ~ r2_hidden(X6,a_3_0_rmod_4(X7,X8,X9))
        | v3_struct_0(X7)
        | ~ v3_rlvect_1(X7)
        | ~ v4_rlvect_1(X7)
        | ~ v5_rlvect_1(X7)
        | ~ v6_rlvect_1(X7)
        | ~ v4_group_1(X7)
        | ~ v6_vectsp_1(X7)
        | ~ v7_vectsp_1(X7)
        | ~ v8_vectsp_1(X7)
        | ~ l3_vectsp_1(X7)
        | v3_struct_0(X8)
        | ~ v3_rlvect_1(X8)
        | ~ v4_rlvect_1(X8)
        | ~ v5_rlvect_1(X8)
        | ~ v6_rlvect_1(X8)
        | ~ v5_vectsp_2(X8,X7)
        | ~ l1_vectsp_2(X8,X7)
        | ~ m1_rmod_4(X9,X7,X8) )
      & ( ~ m1_subset_1(X11,u1_struct_0(X8))
        | X6 != X11
        | k8_funct_2(u1_struct_0(X8),u1_struct_0(X7),X9,X11) = k1_rlvect_1(X7)
        | r2_hidden(X6,a_3_0_rmod_4(X7,X8,X9))
        | v3_struct_0(X7)
        | ~ v3_rlvect_1(X7)
        | ~ v4_rlvect_1(X7)
        | ~ v5_rlvect_1(X7)
        | ~ v6_rlvect_1(X7)
        | ~ v4_group_1(X7)
        | ~ v6_vectsp_1(X7)
        | ~ v7_vectsp_1(X7)
        | ~ v8_vectsp_1(X7)
        | ~ l3_vectsp_1(X7)
        | v3_struct_0(X8)
        | ~ v3_rlvect_1(X8)
        | ~ v4_rlvect_1(X8)
        | ~ v5_rlvect_1(X8)
        | ~ v6_rlvect_1(X8)
        | ~ v5_vectsp_2(X8,X7)
        | ~ l1_vectsp_2(X8,X7)
        | ~ m1_rmod_4(X9,X7,X8) ) ),
    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_33])])])])]) ).

fof(c_0_67_068,plain,
    ! [X6,X7,X8,X9,X10] :
      ( v3_struct_0(X6)
      | ~ v3_rlvect_1(X6)
      | ~ v4_rlvect_1(X6)
      | ~ v5_rlvect_1(X6)
      | ~ v6_rlvect_1(X6)
      | ~ v4_group_1(X6)
      | ~ v6_vectsp_1(X6)
      | ~ v7_vectsp_1(X6)
      | ~ v8_vectsp_1(X6)
      | ~ l3_vectsp_1(X6)
      | v3_struct_0(X7)
      | ~ v3_rlvect_1(X7)
      | ~ v4_rlvect_1(X7)
      | ~ v5_rlvect_1(X7)
      | ~ v6_rlvect_1(X7)
      | ~ v5_vectsp_2(X7,X6)
      | ~ l1_vectsp_2(X7,X6)
      | ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X7)))
      | ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X7)))
      | ~ m2_rmod_4(X10,X6,X7,X8)
      | ~ r1_tarski(X8,X9)
      | m2_rmod_4(X10,X6,X7,X9) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).

fof(c_0_68_069,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ v1_rmod_5(X7,X5,X6)
        | ~ m2_rmod_4(X8,X5,X6,X7)
        | k5_rmod_4(X5,X6,X8) != k1_rlvect_1(X6)
        | k2_rmod_4(X5,X6,X8) = k1_xboole_0
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | v3_struct_0(X6)
        | ~ v3_rlvect_1(X6)
        | ~ v4_rlvect_1(X6)
        | ~ v5_rlvect_1(X6)
        | ~ v6_rlvect_1(X6)
        | ~ v5_vectsp_2(X6,X5)
        | ~ l1_vectsp_2(X6,X5)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v4_group_1(X5)
        | ~ v6_vectsp_1(X5)
        | ~ v7_vectsp_1(X5)
        | ~ v8_vectsp_1(X5)
        | ~ l3_vectsp_1(X5) )
      & ( m2_rmod_4(esk23_3(X5,X6,X7),X5,X6,X7)
        | v1_rmod_5(X7,X5,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | v3_struct_0(X6)
        | ~ v3_rlvect_1(X6)
        | ~ v4_rlvect_1(X6)
        | ~ v5_rlvect_1(X6)
        | ~ v6_rlvect_1(X6)
        | ~ v5_vectsp_2(X6,X5)
        | ~ l1_vectsp_2(X6,X5)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v4_group_1(X5)
        | ~ v6_vectsp_1(X5)
        | ~ v7_vectsp_1(X5)
        | ~ v8_vectsp_1(X5)
        | ~ l3_vectsp_1(X5) )
      & ( k5_rmod_4(X5,X6,esk23_3(X5,X6,X7)) = k1_rlvect_1(X6)
        | v1_rmod_5(X7,X5,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | v3_struct_0(X6)
        | ~ v3_rlvect_1(X6)
        | ~ v4_rlvect_1(X6)
        | ~ v5_rlvect_1(X6)
        | ~ v6_rlvect_1(X6)
        | ~ v5_vectsp_2(X6,X5)
        | ~ l1_vectsp_2(X6,X5)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v4_group_1(X5)
        | ~ v6_vectsp_1(X5)
        | ~ v7_vectsp_1(X5)
        | ~ v8_vectsp_1(X5)
        | ~ l3_vectsp_1(X5) )
      & ( k2_rmod_4(X5,X6,esk23_3(X5,X6,X7)) != k1_xboole_0
        | v1_rmod_5(X7,X5,X6)
        | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
        | v3_struct_0(X6)
        | ~ v3_rlvect_1(X6)
        | ~ v4_rlvect_1(X6)
        | ~ v5_rlvect_1(X6)
        | ~ v6_rlvect_1(X6)
        | ~ v5_vectsp_2(X6,X5)
        | ~ l1_vectsp_2(X6,X5)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v4_group_1(X5)
        | ~ v6_vectsp_1(X5)
        | ~ v7_vectsp_1(X5)
        | ~ v8_vectsp_1(X5)
        | ~ l3_vectsp_1(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])]) ).

fof(c_0_69_070,plain,
    ! [X5,X6,X7,X8] :
      ( v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v4_group_1(X5)
      | ~ v6_vectsp_1(X5)
      | ~ v7_vectsp_1(X5)
      | ~ v8_vectsp_1(X5)
      | ~ l3_vectsp_1(X5)
      | v3_struct_0(X6)
      | ~ v3_rlvect_1(X6)
      | ~ v4_rlvect_1(X6)
      | ~ v5_rlvect_1(X6)
      | ~ v6_rlvect_1(X6)
      | ~ v5_vectsp_2(X6,X5)
      | ~ l1_vectsp_2(X6,X5)
      | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
      | ~ m2_rmod_4(X8,X5,X6,X7)
      | m1_rmod_4(X8,X5,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).

fof(c_0_70_071,plain,
    ! [X5,X6,X7] :
      ( v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v4_group_1(X5)
      | ~ v6_vectsp_1(X5)
      | ~ v7_vectsp_1(X5)
      | ~ v8_vectsp_1(X5)
      | ~ l3_vectsp_1(X5)
      | v3_struct_0(X6)
      | ~ v3_rlvect_1(X6)
      | ~ v4_rlvect_1(X6)
      | ~ v5_rlvect_1(X6)
      | ~ v6_rlvect_1(X6)
      | ~ v5_vectsp_2(X6,X5)
      | ~ l1_vectsp_2(X6,X5)
      | ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
      | m2_rmod_4(esk9_3(X5,X6,X7),X5,X6,X7) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).

fof(c_0_71_072,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_rlvect_1(X4)
      | ~ v4_rlvect_1(X4)
      | ~ v5_rlvect_1(X4)
      | ~ v6_rlvect_1(X4)
      | ~ v4_group_1(X4)
      | ~ v6_vectsp_1(X4)
      | ~ v7_vectsp_1(X4)
      | ~ v8_vectsp_1(X4)
      | ~ l3_vectsp_1(X4)
      | v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v5_vectsp_2(X5,X4)
      | ~ l1_vectsp_2(X5,X4)
      | ~ m1_rmod_4(X6,X4,X5)
      | m2_fraenkel(X6,u1_struct_0(X5),u1_struct_0(X4),k1_fraenkel(u1_struct_0(X5),u1_struct_0(X4))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

fof(c_0_72_073,plain,
    ! [X5,X6,X7,X8] :
      ( ( v1_funct_1(X8)
        | ~ m2_fraenkel(X8,X5,X6,X7)
        | v1_xboole_0(X6)
        | ~ m1_fraenkel(X7,X5,X6) )
      & ( v1_funct_2(X8,X5,X6)
        | ~ m2_fraenkel(X8,X5,X6,X7)
        | v1_xboole_0(X6)
        | ~ m1_fraenkel(X7,X5,X6) )
      & ( m2_relset_1(X8,X5,X6)
        | ~ m2_fraenkel(X8,X5,X6,X7)
        | v1_xboole_0(X6)
        | ~ m1_fraenkel(X7,X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).

fof(c_0_73_074,plain,
    ! [X5,X6,X7,X8,X9] :
      ( ( ~ m2_fraenkel(X8,X5,X6,X7)
        | m1_subset_1(X8,X7)
        | v1_xboole_0(X6)
        | ~ m1_fraenkel(X7,X5,X6) )
      & ( ~ m1_subset_1(X9,X7)
        | m2_fraenkel(X9,X5,X6,X7)
        | v1_xboole_0(X6)
        | ~ m1_fraenkel(X7,X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])]) ).

fof(c_0_74_075,plain,
    ! [X5,X6,X7] :
      ( v1_xboole_0(X6)
      | ~ m1_fraenkel(X7,X5,X6)
      | m2_fraenkel(esk11_3(X5,X6,X7),X5,X6,X7) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).

fof(c_0_75_076,plain,
    ! [X4,X5,X6] :
      ( ( v1_finset_1(k2_rmod_4(X4,X5,X6))
        | v3_struct_0(X4)
        | ~ v3_rlvect_1(X4)
        | ~ v4_rlvect_1(X4)
        | ~ v5_rlvect_1(X4)
        | ~ v6_rlvect_1(X4)
        | ~ v4_group_1(X4)
        | ~ v6_vectsp_1(X4)
        | ~ v7_vectsp_1(X4)
        | ~ v8_vectsp_1(X4)
        | ~ l3_vectsp_1(X4)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v5_vectsp_2(X5,X4)
        | ~ l1_vectsp_2(X5,X4)
        | ~ m1_rmod_4(X6,X4,X5) )
      & ( m1_subset_1(k2_rmod_4(X4,X5,X6),k1_zfmisc_1(u1_struct_0(X5)))
        | v3_struct_0(X4)
        | ~ v3_rlvect_1(X4)
        | ~ v4_rlvect_1(X4)
        | ~ v5_rlvect_1(X4)
        | ~ v6_rlvect_1(X4)
        | ~ v4_group_1(X4)
        | ~ v6_vectsp_1(X4)
        | ~ v7_vectsp_1(X4)
        | ~ v8_vectsp_1(X4)
        | ~ l3_vectsp_1(X4)
        | v3_struct_0(X5)
        | ~ v3_rlvect_1(X5)
        | ~ v4_rlvect_1(X5)
        | ~ v5_rlvect_1(X5)
        | ~ v6_rlvect_1(X5)
        | ~ v5_vectsp_2(X5,X4)
        | ~ l1_vectsp_2(X5,X4)
        | ~ m1_rmod_4(X6,X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

fof(c_0_76_077,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_rlvect_1(X4)
      | ~ v4_rlvect_1(X4)
      | ~ v5_rlvect_1(X4)
      | ~ v6_rlvect_1(X4)
      | ~ v4_group_1(X4)
      | ~ v6_vectsp_1(X4)
      | ~ v7_vectsp_1(X4)
      | ~ v8_vectsp_1(X4)
      | ~ l3_vectsp_1(X4)
      | v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v5_vectsp_2(X5,X4)
      | ~ l1_vectsp_2(X5,X4)
      | ~ m1_rmod_4(X6,X4,X5)
      | k2_rmod_4(X4,X5,X6) = a_3_0_rmod_4(X4,X5,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

fof(c_0_77_078,plain,
    ! [X4,X5] :
      ( v3_struct_0(X4)
      | ~ v3_rlvect_1(X4)
      | ~ v4_rlvect_1(X4)
      | ~ v5_rlvect_1(X4)
      | ~ v6_rlvect_1(X4)
      | ~ v4_group_1(X4)
      | ~ v6_vectsp_1(X4)
      | ~ v7_vectsp_1(X4)
      | ~ v8_vectsp_1(X4)
      | ~ l3_vectsp_1(X4)
      | v3_struct_0(X5)
      | ~ v3_rlvect_1(X5)
      | ~ v4_rlvect_1(X5)
      | ~ v5_rlvect_1(X5)
      | ~ v6_rlvect_1(X5)
      | ~ v5_vectsp_2(X5,X4)
      | ~ l1_vectsp_2(X5,X4)
      | m1_rmod_4(esk13_2(X4,X5),X4,X5) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).

fof(c_0_78_079,plain,
    ! [X4,X5] : m1_fraenkel(esk15_2(X4,X5),X4,X5),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).

fof(c_0_79_080,plain,
    ! [X4,X5] : m1_relset_1(esk14_2(X4,X5),X4,X5),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_46])]) ).

fof(c_0_80_081,plain,
    ! [X4,X5] : m2_relset_1(esk10_2(X4,X5),X4,X5),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_47])]) ).

fof(c_0_81_082,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_48])])])]) ).

fof(c_0_82_083,plain,
    ! [X3] :
      ( ( m1_subset_1(esk6_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3) )
      & ( ~ v1_xboole_0(esk6_1(X3))
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3) )
      & ( v1_finset_1(esk6_1(X3))
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).

fof(c_0_83_084,plain,
    ! [X3] :
      ( ( m1_subset_1(esk1_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3) )
      & ( ~ v1_xboole_0(esk1_1(X3))
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).

fof(c_0_84_085,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | ~ v1_xboole_0(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])]) ).

fof(c_0_85_086,plain,
    ! [X3] :
      ( m1_subset_1(esk5_1(X3),k1_zfmisc_1(X3))
      & v1_xboole_0(esk5_1(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_52])]) ).

fof(c_0_86_087,plain,
    ! [X3] : m1_subset_1(esk12_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_53])]) ).

fof(c_0_87_088,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_54])])])]) ).

fof(c_0_88_089,plain,
    ~ v1_xboole_0(esk4_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_55])]) ).

fof(c_0_89_090,plain,
    ( l1_struct_0(esk3_0)
    & ~ v3_struct_0(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_56])]) ).

fof(c_0_90_091,plain,
    ( l2_struct_0(esk2_0)
    & ~ v3_struct_0(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_57])]) ).

fof(c_0_91_092,plain,
    l1_group_1(esk22_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_58])]) ).

fof(c_0_92_093,plain,
    l1_rlvect_1(esk21_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_59])]) ).

fof(c_0_93_094,plain,
    l1_struct_0(esk20_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_60])]) ).

fof(c_0_94_095,plain,
    l1_vectsp_1(esk19_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_61])]) ).

fof(c_0_95_096,plain,
    l2_struct_0(esk18_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_62])]) ).

fof(c_0_96_097,plain,
    l2_vectsp_1(esk17_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_63])]) ).

fof(c_0_97_098,plain,
    l3_vectsp_1(esk16_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_64])]) ).

fof(c_0_98_099,plain,
    v1_xboole_0(esk7_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_65])]) ).

cnf(c_0_99_100,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_100_101,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m1_subset_1(esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_101_102,plain,
    ( m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ r1_tarski(X5,X4)
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_102_103,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_103_104,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | X4 = esk8_4(X4,X2,X3,X1)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_104_105,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_105_106,plain,
    ( m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_106_107,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | m2_rmod_4(esk23_3(X1,X2,X3),X1,X2,X3)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_107_108,plain,
    ( m2_rmod_4(esk9_3(X1,X2,X3),X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_108_109,plain,
    ( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | ~ l1_vectsp_2(X2,X3)
    | ~ v5_vectsp_2(X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_109_110,plain,
    ( v1_xboole_0(X3)
    | v1_funct_2(X4,X2,X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_110_111,plain,
    ( v1_xboole_0(X3)
    | m2_relset_1(X4,X2,X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_111_112,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_112_113,plain,
    ( v1_xboole_0(X3)
    | m1_subset_1(X4,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_113_114,plain,
    ( v1_xboole_0(X3)
    | v1_funct_1(X4)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_114_115,plain,
    ( m2_fraenkel(esk11_3(X1,X2,X3),X1,X2,X3)
    | v1_xboole_0(X2)
    | ~ m1_fraenkel(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_115_116,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | k5_rmod_4(X1,X2,esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_116_117,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_117_118,plain,
    ( v1_xboole_0(X3)
    | m2_fraenkel(X4,X2,X3,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m1_subset_1(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_118_119,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_119_120,plain,
    ( k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_120_121,plain,
    ( m1_rmod_4(esk13_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_121_122,plain,
    m1_fraenkel(esk15_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_122_123,plain,
    m1_relset_1(esk14_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_123_124,plain,
    m2_relset_1(esk10_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_124_125,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_125_126,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_126_127,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_127_128,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_128_129,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(esk6_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_129_130,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_130_131,plain,
    m1_subset_1(esk5_1(X1),k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_131_132,plain,
    ( v3_struct_0(X1)
    | v1_finset_1(esk6_1(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_132_133,plain,
    m1_subset_1(esk12_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_133_134,plain,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_134_135,plain,
    v1_xboole_0(esk5_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_135_136,plain,
    ~ v1_xboole_0(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_136_137,plain,
    ~ v3_struct_0(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_137_138,plain,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_138_139,plain,
    l1_group_1(esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_139_140,plain,
    l1_rlvect_1(esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_140_141,plain,
    l1_struct_0(esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_141_142,plain,
    l1_vectsp_1(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_142_143,plain,
    l2_struct_0(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_143_144,plain,
    l2_vectsp_1(esk17_0),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_144_145,plain,
    l3_vectsp_1(esk16_0),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_145_146,plain,
    v1_xboole_0(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_146_147,plain,
    l1_struct_0(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_147_148,plain,
    l2_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_148_149,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    c_0_99,
    [final] ).

cnf(c_0_149_150,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m1_subset_1(esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    c_0_100,
    [final] ).

cnf(c_0_150_151,plain,
    ( m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ r1_tarski(X5,X4)
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    c_0_101,
    [final] ).

cnf(c_0_151_152,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    c_0_102,
    [final] ).

cnf(c_0_152_153,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | esk8_4(X4,X2,X3,X1) = X4
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    c_0_103,
    [final] ).

cnf(c_0_153_154,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    c_0_104,
    [final] ).

cnf(c_0_154_155,plain,
    ( m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    c_0_105,
    [final] ).

cnf(c_0_155_156,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | m2_rmod_4(esk23_3(X1,X2,X3),X1,X2,X3)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    c_0_106,
    [final] ).

cnf(c_0_156_157,plain,
    ( m2_rmod_4(esk9_3(X1,X2,X3),X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    c_0_107,
    [final] ).

cnf(c_0_157_158,plain,
    ( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | ~ l1_vectsp_2(X2,X3)
    | ~ v5_vectsp_2(X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    c_0_108,
    [final] ).

cnf(c_0_158_159,plain,
    ( v1_xboole_0(X3)
    | v1_funct_2(X4,X2,X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    c_0_109,
    [final] ).

cnf(c_0_159_160,plain,
    ( v1_xboole_0(X3)
    | m2_relset_1(X4,X2,X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    c_0_110,
    [final] ).

cnf(c_0_160_161,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    c_0_111,
    [final] ).

cnf(c_0_161_162,plain,
    ( v1_xboole_0(X3)
    | m1_subset_1(X4,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    c_0_112,
    [final] ).

cnf(c_0_162_163,plain,
    ( v1_xboole_0(X3)
    | v1_funct_1(X4)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    c_0_113,
    [final] ).

cnf(c_0_163_164,plain,
    ( m2_fraenkel(esk11_3(X1,X2,X3),X1,X2,X3)
    | v1_xboole_0(X2)
    | ~ m1_fraenkel(X3,X1,X2) ),
    c_0_114,
    [final] ).

cnf(c_0_164_165,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | k5_rmod_4(X1,X2,esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    c_0_115,
    [final] ).

cnf(c_0_165_166,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    c_0_116,
    [final] ).

cnf(c_0_166_167,plain,
    ( v1_xboole_0(X3)
    | m2_fraenkel(X4,X2,X3,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m1_subset_1(X4,X1) ),
    c_0_117,
    [final] ).

cnf(c_0_167_168,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    c_0_118,
    [final] ).

cnf(c_0_168_169,plain,
    ( k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    c_0_119,
    [final] ).

cnf(c_0_169_170,plain,
    ( m1_rmod_4(esk13_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    c_0_120,
    [final] ).

cnf(c_0_170_171,plain,
    m1_fraenkel(esk15_2(X1,X2),X1,X2),
    c_0_121,
    [final] ).

cnf(c_0_171_172,plain,
    m1_relset_1(esk14_2(X1,X2),X1,X2),
    c_0_122,
    [final] ).

cnf(c_0_172_173,plain,
    m2_relset_1(esk10_2(X1,X2),X1,X2),
    c_0_123,
    [final] ).

cnf(c_0_173_174,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    c_0_124,
    [final] ).

cnf(c_0_174_175,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    c_0_125,
    [final] ).

cnf(c_0_175_176,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    c_0_126,
    [final] ).

cnf(c_0_176_177,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    c_0_127,
    [final] ).

cnf(c_0_177_178,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(esk6_1(X1)) ),
    c_0_128,
    [final] ).

cnf(c_0_178_179,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(esk1_1(X1)) ),
    c_0_129,
    [final] ).

cnf(c_0_179_180,plain,
    m1_subset_1(esk5_1(X1),k1_zfmisc_1(X1)),
    c_0_130,
    [final] ).

cnf(c_0_180_181,plain,
    ( v3_struct_0(X1)
    | v1_finset_1(esk6_1(X1))
    | ~ l1_struct_0(X1) ),
    c_0_131,
    [final] ).

cnf(c_0_181_182,plain,
    m1_subset_1(esk12_1(X1),X1),
    c_0_132,
    [final] ).

cnf(c_0_182_183,plain,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    c_0_133,
    [final] ).

cnf(c_0_183_184,plain,
    v1_xboole_0(esk5_1(X1)),
    c_0_134,
    [final] ).

cnf(c_0_184_185,plain,
    ~ v1_xboole_0(esk4_0),
    c_0_135,
    [final] ).

cnf(c_0_185_186,plain,
    ~ v3_struct_0(esk3_0),
    c_0_136,
    [final] ).

cnf(c_0_186_187,plain,
    ~ v3_struct_0(esk2_0),
    c_0_137,
    [final] ).

cnf(c_0_187_188,plain,
    l1_group_1(esk22_0),
    c_0_138,
    [final] ).

cnf(c_0_188_189,plain,
    l1_rlvect_1(esk21_0),
    c_0_139,
    [final] ).

cnf(c_0_189_190,plain,
    l1_struct_0(esk20_0),
    c_0_140,
    [final] ).

cnf(c_0_190_191,plain,
    l1_vectsp_1(esk19_0),
    c_0_141,
    [final] ).

cnf(c_0_191_192,plain,
    l2_struct_0(esk18_0),
    c_0_142,
    [final] ).

cnf(c_0_192_193,plain,
    l2_vectsp_1(esk17_0),
    c_0_143,
    [final] ).

cnf(c_0_193_194,plain,
    l3_vectsp_1(esk16_0),
    c_0_144,
    [final] ).

cnf(c_0_194_195,plain,
    v1_xboole_0(esk7_0),
    c_0_145,
    [final] ).

cnf(c_0_195_196,plain,
    l1_struct_0(esk3_0),
    c_0_146,
    [final] ).

cnf(c_0_196_197,plain,
    l2_struct_0(esk2_0),
    c_0_147,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_148_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_2,axiom,
    ( ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_3,axiom,
    ( ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_4,axiom,
    ( ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_5,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_6,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_7,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_8,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_9,axiom,
    ( ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_10,axiom,
    ( ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_11,axiom,
    ( ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_12,axiom,
    ( ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_13,axiom,
    ( ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_14,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_15,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_16,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_17,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_18,axiom,
    ( ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_19,axiom,
    ( k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,sk2_esk8_4(X4,X2,X3,X1)) != k1_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_149_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_2,axiom,
    ( m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_3,axiom,
    ( ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_4,axiom,
    ( ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_5,axiom,
    ( ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_6,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_7,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_8,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_9,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_10,axiom,
    ( ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_11,axiom,
    ( ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_12,axiom,
    ( ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_13,axiom,
    ( ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_14,axiom,
    ( ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_15,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_16,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_17,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_18,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_149_19,axiom,
    ( ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(sk2_esk8_4(X4,X2,X3,X1),u1_struct_0(X3))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_150_0,axiom,
    ( m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ r1_tarski(X5,X4)
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_1,axiom,
    ( v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | ~ r1_tarski(X5,X4)
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_2,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ r1_tarski(X5,X4)
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_3,axiom,
    ( ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_4,axiom,
    ( ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_5,axiom,
    ( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_6,axiom,
    ( ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_7,axiom,
    ( ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_8,axiom,
    ( ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_9,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_10,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_11,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_12,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_13,axiom,
    ( ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_14,axiom,
    ( ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_15,axiom,
    ( ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_16,axiom,
    ( ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_17,axiom,
    ( ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_18,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_19,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_20,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_21,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X5)
    | ~ r1_tarski(X5,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_rmod_4(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_151_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_2,axiom,
    ( k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_3,axiom,
    ( ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_4,axiom,
    ( ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_5,axiom,
    ( ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_6,axiom,
    ( ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_7,axiom,
    ( ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_8,axiom,
    ( ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_9,axiom,
    ( ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_10,axiom,
    ( ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_11,axiom,
    ( ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_12,axiom,
    ( ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_13,axiom,
    ( ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_14,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_15,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_16,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_17,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_18,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_19,axiom,
    ( k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_20,axiom,
    ( ~ m2_rmod_4(X4,X1,X2,X3)
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v1_rmod_5(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_151_21,axiom,
    ( ~ v1_rmod_5(X3,X1,X2)
    | ~ m2_rmod_4(X4,X1,X2,X3)
    | k5_rmod_4(X1,X2,X4) != k1_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X4) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_152_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_2,axiom,
    ( sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_3,axiom,
    ( ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_4,axiom,
    ( ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_5,axiom,
    ( ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_6,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_7,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_8,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_9,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_10,axiom,
    ( ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_11,axiom,
    ( ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_12,axiom,
    ( ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_13,axiom,
    ( ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_14,axiom,
    ( ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_15,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_16,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_17,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X2)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_18,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_19,axiom,
    ( ~ r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | sk2_esk8_4(X4,X2,X3,X1) = X4
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_153_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_2,axiom,
    ( r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_3,axiom,
    ( k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_4,axiom,
    ( ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_5,axiom,
    ( ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_6,axiom,
    ( ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_7,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_8,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_9,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_10,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_11,axiom,
    ( ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_12,axiom,
    ( ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_13,axiom,
    ( ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_14,axiom,
    ( ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_15,axiom,
    ( ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_16,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_17,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_18,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X2)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_19,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | X4 != X5
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_20,axiom,
    ( X4 != X5
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_subset_1(X5,u1_struct_0(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_21,axiom,
    ( ~ m1_subset_1(X5,u1_struct_0(X3))
    | X4 != X5
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | k8_funct_2(u1_struct_0(X3),u1_struct_0(X2),X1,X5) = k1_rlvect_1(X2)
    | r2_hidden(X4,a_3_0_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_154_0,axiom,
    ( m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_1,axiom,
    ( v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_2,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_3,axiom,
    ( ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_4,axiom,
    ( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_5,axiom,
    ( ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_6,axiom,
    ( ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_7,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_8,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_9,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_10,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_11,axiom,
    ( ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_12,axiom,
    ( ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_13,axiom,
    ( ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_14,axiom,
    ( ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_15,axiom,
    ( ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_16,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_17,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_18,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_154_19,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m2_rmod_4(X1,X2,X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_rmod_4(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_155_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_rmod_5(X3,X1,X2)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_2,axiom,
    ( v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_3,axiom,
    ( m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_4,axiom,
    ( ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_5,axiom,
    ( ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_6,axiom,
    ( ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_7,axiom,
    ( ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_8,axiom,
    ( ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_9,axiom,
    ( ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_10,axiom,
    ( ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_11,axiom,
    ( ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_12,axiom,
    ( ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_13,axiom,
    ( ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_14,axiom,
    ( ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_15,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_16,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_17,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_18,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_19,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | m2_rmod_4(sk2_esk23_3(X1,X2,X3),X1,X2,X3)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_156_0,axiom,
    ( m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_1,axiom,
    ( v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_2,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_3,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_4,axiom,
    ( ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_5,axiom,
    ( ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_6,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_7,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_8,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_9,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_10,axiom,
    ( ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_11,axiom,
    ( ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_12,axiom,
    ( ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_13,axiom,
    ( ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_14,axiom,
    ( ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_15,axiom,
    ( ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_16,axiom,
    ( ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_17,axiom,
    ( ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_156_18,axiom,
    ( ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_rmod_4(sk2_esk9_3(X1,X2,X3),X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_157_0,axiom,
    ( m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | ~ l1_vectsp_2(X2,X3)
    | ~ v5_vectsp_2(X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_1,axiom,
    ( v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | ~ l1_vectsp_2(X2,X3)
    | ~ v5_vectsp_2(X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_2,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ m1_rmod_4(X1,X3,X2)
    | ~ l1_vectsp_2(X2,X3)
    | ~ v5_vectsp_2(X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_3,axiom,
    ( ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ l1_vectsp_2(X2,X3)
    | ~ v5_vectsp_2(X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_4,axiom,
    ( ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v5_vectsp_2(X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_5,axiom,
    ( ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_6,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_7,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_8,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_9,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ l3_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_10,axiom,
    ( ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v8_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_11,axiom,
    ( ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v7_vectsp_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_12,axiom,
    ( ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v6_vectsp_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_13,axiom,
    ( ~ v6_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v4_group_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_14,axiom,
    ( ~ v4_group_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_15,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_16,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_17,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3)))
    | ~ v3_rlvect_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_18,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ m1_rmod_4(X1,X3,X2)
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X3),k1_fraenkel(u1_struct_0(X2),u1_struct_0(X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_158_0,axiom,
    ( v1_xboole_0(X3)
    | v1_funct_2(X4,X2,X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_158_1,axiom,
    ( v1_funct_2(X4,X2,X3)
    | v1_xboole_0(X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_158_2,axiom,
    ( ~ m1_fraenkel(X1,X2,X3)
    | v1_funct_2(X4,X2,X3)
    | v1_xboole_0(X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_158_3,axiom,
    ( ~ m2_fraenkel(X4,X2,X3,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | v1_funct_2(X4,X2,X3)
    | v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_159_0,axiom,
    ( v1_xboole_0(X3)
    | m2_relset_1(X4,X2,X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_159_1,axiom,
    ( m2_relset_1(X4,X2,X3)
    | v1_xboole_0(X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_159_2,axiom,
    ( ~ m1_fraenkel(X1,X2,X3)
    | m2_relset_1(X4,X2,X3)
    | v1_xboole_0(X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_159_3,axiom,
    ( ~ m2_fraenkel(X4,X2,X3,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | m2_relset_1(X4,X2,X3)
    | v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_160_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_rmod_5(X3,X1,X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_2,axiom,
    ( v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_3,axiom,
    ( ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_4,axiom,
    ( ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_5,axiom,
    ( ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_6,axiom,
    ( ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_7,axiom,
    ( ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_8,axiom,
    ( ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_9,axiom,
    ( ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_10,axiom,
    ( ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_11,axiom,
    ( ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_12,axiom,
    ( ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_13,axiom,
    ( ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_14,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_15,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_16,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_17,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_18,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_160_19,axiom,
    ( k2_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) != k1_xboole_0
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_161_0,axiom,
    ( v1_xboole_0(X3)
    | m1_subset_1(X4,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_161]) ).

cnf(c_0_161_1,axiom,
    ( m1_subset_1(X4,X1)
    | v1_xboole_0(X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_161]) ).

cnf(c_0_161_2,axiom,
    ( ~ m1_fraenkel(X1,X2,X3)
    | m1_subset_1(X4,X1)
    | v1_xboole_0(X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_161]) ).

cnf(c_0_161_3,axiom,
    ( ~ m2_fraenkel(X4,X2,X3,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | m1_subset_1(X4,X1)
    | v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_161]) ).

cnf(c_0_162_0,axiom,
    ( v1_xboole_0(X3)
    | v1_funct_1(X4)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_162_1,axiom,
    ( v1_funct_1(X4)
    | v1_xboole_0(X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_162_2,axiom,
    ( ~ m1_fraenkel(X1,X2,X3)
    | v1_funct_1(X4)
    | v1_xboole_0(X3)
    | ~ m2_fraenkel(X4,X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_162_3,axiom,
    ( ~ m2_fraenkel(X4,X2,X3,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | v1_funct_1(X4)
    | v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_163_0,axiom,
    ( m2_fraenkel(sk2_esk11_3(X1,X2,X3),X1,X2,X3)
    | v1_xboole_0(X2)
    | ~ m1_fraenkel(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_163]) ).

cnf(c_0_163_1,axiom,
    ( v1_xboole_0(X2)
    | m2_fraenkel(sk2_esk11_3(X1,X2,X3),X1,X2,X3)
    | ~ m1_fraenkel(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_163]) ).

cnf(c_0_163_2,axiom,
    ( ~ m1_fraenkel(X3,X1,X2)
    | v1_xboole_0(X2)
    | m2_fraenkel(sk2_esk11_3(X1,X2,X3),X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_163]) ).

cnf(c_0_164_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_rmod_5(X3,X1,X2)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_rmod_5(X3,X1,X2)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_2,axiom,
    ( v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_3,axiom,
    ( k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_4,axiom,
    ( ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_5,axiom,
    ( ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_6,axiom,
    ( ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_7,axiom,
    ( ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_8,axiom,
    ( ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_9,axiom,
    ( ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_10,axiom,
    ( ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_11,axiom,
    ( ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_rlvect_1(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_12,axiom,
    ( ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_13,axiom,
    ( ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_14,axiom,
    ( ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_15,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_16,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_17,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_18,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_164_19,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k5_rmod_4(X1,X2,sk2_esk23_3(X1,X2,X3)) = k1_rlvect_1(X2)
    | v1_rmod_5(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_165_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_2,axiom,
    ( m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_3,axiom,
    ( ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_4,axiom,
    ( ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_5,axiom,
    ( ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_6,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_7,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_8,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_9,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_10,axiom,
    ( ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_11,axiom,
    ( ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_12,axiom,
    ( ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_13,axiom,
    ( ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_14,axiom,
    ( ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_15,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_16,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_17,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_165_18,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | m1_subset_1(k2_rmod_4(X2,X3,X1),k1_zfmisc_1(u1_struct_0(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_166_0,axiom,
    ( v1_xboole_0(X3)
    | m2_fraenkel(X4,X2,X3,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m1_subset_1(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_166_1,axiom,
    ( m2_fraenkel(X4,X2,X3,X1)
    | v1_xboole_0(X3)
    | ~ m1_fraenkel(X1,X2,X3)
    | ~ m1_subset_1(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_166_2,axiom,
    ( ~ m1_fraenkel(X1,X2,X3)
    | m2_fraenkel(X4,X2,X3,X1)
    | v1_xboole_0(X3)
    | ~ m1_subset_1(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_166_3,axiom,
    ( ~ m1_subset_1(X4,X1)
    | ~ m1_fraenkel(X1,X2,X3)
    | m2_fraenkel(X4,X2,X3,X1)
    | v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_167_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_2,axiom,
    ( v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_3,axiom,
    ( ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_vectsp_2(X3,X2)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_4,axiom,
    ( ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_5,axiom,
    ( ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_6,axiom,
    ( ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_7,axiom,
    ( ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_8,axiom,
    ( ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_9,axiom,
    ( ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_10,axiom,
    ( ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_11,axiom,
    ( ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_12,axiom,
    ( ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_13,axiom,
    ( ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_14,axiom,
    ( ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_15,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_16,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_17,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_rlvect_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_18,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ l3_vectsp_1(X2)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v5_vectsp_2(X3,X2)
    | ~ l1_vectsp_2(X3,X2)
    | ~ m1_rmod_4(X1,X2,X3)
    | v1_finset_1(k2_rmod_4(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_168_0,axiom,
    ( k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_1,axiom,
    ( v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | v3_struct_0(X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_2,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ m1_rmod_4(X3,X1,X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_3,axiom,
    ( ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_4,axiom,
    ( ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_5,axiom,
    ( ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_6,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_7,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_8,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_9,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_10,axiom,
    ( ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_11,axiom,
    ( ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_12,axiom,
    ( ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_13,axiom,
    ( ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_14,axiom,
    ( ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_15,axiom,
    ( ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_16,axiom,
    ( ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_17,axiom,
    ( ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_18,axiom,
    ( ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ m1_rmod_4(X3,X1,X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | k2_rmod_4(X1,X2,X3) = a_3_0_rmod_4(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_169_0,axiom,
    ( m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_1,axiom,
    ( v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_2,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_3,axiom,
    ( ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_4,axiom,
    ( ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_5,axiom,
    ( ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_6,axiom,
    ( ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_7,axiom,
    ( ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_8,axiom,
    ( ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_9,axiom,
    ( ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_10,axiom,
    ( ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_11,axiom,
    ( ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_12,axiom,
    ( ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_13,axiom,
    ( ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_14,axiom,
    ( ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_15,axiom,
    ( ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_16,axiom,
    ( ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2)
    | ~ v3_rlvect_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_17,axiom,
    ( ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_rmod_4(sk2_esk13_2(X1,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_173_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_173]) ).

cnf(c_0_173_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_173]) ).

cnf(c_0_173_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_173]) ).

cnf(c_0_174_0,axiom,
    ( v3_struct_0(X1)
    | m1_subset_1(sk2_esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_174_1,axiom,
    ( m1_subset_1(sk2_esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_174_2,axiom,
    ( ~ l1_struct_0(X1)
    | m1_subset_1(sk2_esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_175_0,axiom,
    ( v3_struct_0(X1)
    | m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_1,axiom,
    ( m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_2,axiom,
    ( ~ l1_struct_0(X1)
    | m1_subset_1(sk2_esk1_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_176_0,axiom,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_176_1,axiom,
    ( ~ r2_hidden(X2,X1)
    | ~ v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_177_0,axiom,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(sk2_esk6_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_1,axiom,
    ( ~ l1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v1_xboole_0(sk2_esk6_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_2,axiom,
    ( ~ v1_xboole_0(sk2_esk6_1(X1))
    | ~ l1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_178_1,axiom,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(sk2_esk1_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_2,axiom,
    ( ~ l1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v1_xboole_0(sk2_esk1_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_3,axiom,
    ( ~ v1_xboole_0(sk2_esk1_1(X1))
    | ~ l1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_180_1,axiom,
    ( v3_struct_0(X1)
    | v1_finset_1(sk2_esk6_1(X1))
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_2,axiom,
    ( v1_finset_1(sk2_esk6_1(X1))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_3,axiom,
    ( ~ l1_struct_0(X1)
    | v1_finset_1(sk2_esk6_1(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_182_1,axiom,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_2,axiom,
    ( ~ v1_xboole_0(X1)
    | X2 = X1
    | ~ v1_xboole_0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_3,axiom,
    ( ~ v1_xboole_0(X2)
    | ~ v1_xboole_0(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_184_1,axiom,
    ~ v1_xboole_0(sk2_esk4_0),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_185_1,axiom,
    ~ v3_struct_0(sk2_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_186_1,axiom,
    ~ v3_struct_0(sk2_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_170_0,axiom,
    m1_fraenkel(sk2_esk15_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_170]) ).

cnf(c_0_171_0,axiom,
    m1_relset_1(sk2_esk14_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_172_0,axiom,
    m2_relset_1(sk2_esk10_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_172]) ).

cnf(c_0_179_1,axiom,
    m1_subset_1(sk2_esk5_1(X1),k1_zfmisc_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_181_1,axiom,
    m1_subset_1(sk2_esk12_1(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_183_1,axiom,
    v1_xboole_0(sk2_esk5_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_187_1,axiom,
    l1_group_1(sk2_esk22_0),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_188_1,axiom,
    l1_rlvect_1(sk2_esk21_0),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_189_1,axiom,
    l1_struct_0(sk2_esk20_0),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_190_1,axiom,
    l1_vectsp_1(sk2_esk19_0),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_191_1,axiom,
    l2_struct_0(sk2_esk18_0),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_192_1,axiom,
    l2_vectsp_1(sk2_esk17_0),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_193_1,axiom,
    l3_vectsp_1(sk2_esk16_0),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_194_1,axiom,
    v1_xboole_0(sk2_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_195_1,axiom,
    l1_struct_0(sk2_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_196_1,axiom,
    l2_struct_0(sk2_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_198,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
             => ! [X4] :
                  ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                 => ( ( r1_tarski(X3,X4)
                      & v1_rmod_5(X4,X1,X2) )
                   => v1_rmod_5(X3,X1,X2) ) ) ) ) ),
    file('<stdin>',t2_rmod_5) ).

fof(c_0_1_199,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & v6_rlvect_1(X1)
          & v4_group_1(X1)
          & v6_vectsp_1(X1)
          & v7_vectsp_1(X1)
          & v8_vectsp_1(X1)
          & l3_vectsp_1(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v3_rlvect_1(X2)
              & v4_rlvect_1(X2)
              & v5_rlvect_1(X2)
              & v6_rlvect_1(X2)
              & v5_vectsp_2(X2,X1)
              & l1_vectsp_2(X2,X1) )
           => ! [X3] :
                ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
               => ! [X4] :
                    ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
                   => ( ( r1_tarski(X3,X4)
                        & v1_rmod_5(X4,X1,X2) )
                     => v1_rmod_5(X3,X1,X2) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2_200,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v3_rlvect_1(esk1_0)
    & v4_rlvect_1(esk1_0)
    & v5_rlvect_1(esk1_0)
    & v6_rlvect_1(esk1_0)
    & v4_group_1(esk1_0)
    & v6_vectsp_1(esk1_0)
    & v7_vectsp_1(esk1_0)
    & v8_vectsp_1(esk1_0)
    & l3_vectsp_1(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v3_rlvect_1(esk2_0)
    & v4_rlvect_1(esk2_0)
    & v5_rlvect_1(esk2_0)
    & v6_rlvect_1(esk2_0)
    & v5_vectsp_2(esk2_0,esk1_0)
    & l1_vectsp_2(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
    & m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
    & r1_tarski(esk3_0,esk4_0)
    & v1_rmod_5(esk4_0,esk1_0,esk2_0)
    & ~ v1_rmod_5(esk3_0,esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_201,negated_conjecture,
    ~ v1_rmod_5(esk3_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_202,negated_conjecture,
    v1_rmod_5(esk4_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_203,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_204,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_205,negated_conjecture,
    v5_vectsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_206,negated_conjecture,
    l1_vectsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9_207,negated_conjecture,
    r1_tarski(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10_208,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11_209,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12_210,negated_conjecture,
    v3_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13_211,negated_conjecture,
    v4_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14_212,negated_conjecture,
    v5_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15_213,negated_conjecture,
    v6_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16_214,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17_215,negated_conjecture,
    v6_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18_216,negated_conjecture,
    v7_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19_217,negated_conjecture,
    v8_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_20_218,negated_conjecture,
    l3_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_21_219,negated_conjecture,
    v3_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_22_220,negated_conjecture,
    v4_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_23_221,negated_conjecture,
    v5_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_24_222,negated_conjecture,
    v6_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_25_223,negated_conjecture,
    ~ v1_rmod_5(esk3_0,esk1_0,esk2_0),
    c_0_3,
    [final] ).

cnf(c_0_26_224,negated_conjecture,
    v1_rmod_5(esk4_0,esk1_0,esk2_0),
    c_0_4,
    [final] ).

cnf(c_0_27_225,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
    c_0_5,
    [final] ).

cnf(c_0_28_226,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
    c_0_6,
    [final] ).

cnf(c_0_29_227,negated_conjecture,
    v5_vectsp_2(esk2_0,esk1_0),
    c_0_7,
    [final] ).

cnf(c_0_30_228,negated_conjecture,
    l1_vectsp_2(esk2_0,esk1_0),
    c_0_8,
    [final] ).

cnf(c_0_31_229,negated_conjecture,
    r1_tarski(esk3_0,esk4_0),
    c_0_9,
    [final] ).

cnf(c_0_32_230,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    c_0_10,
    [final] ).

cnf(c_0_33_231,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    c_0_11,
    [final] ).

cnf(c_0_34_232,negated_conjecture,
    v3_rlvect_1(esk1_0),
    c_0_12,
    [final] ).

cnf(c_0_35_233,negated_conjecture,
    v4_rlvect_1(esk1_0),
    c_0_13,
    [final] ).

cnf(c_0_36_234,negated_conjecture,
    v5_rlvect_1(esk1_0),
    c_0_14,
    [final] ).

cnf(c_0_37_235,negated_conjecture,
    v6_rlvect_1(esk1_0),
    c_0_15,
    [final] ).

cnf(c_0_38_236,negated_conjecture,
    v4_group_1(esk1_0),
    c_0_16,
    [final] ).

cnf(c_0_39_237,negated_conjecture,
    v6_vectsp_1(esk1_0),
    c_0_17,
    [final] ).

cnf(c_0_40_238,negated_conjecture,
    v7_vectsp_1(esk1_0),
    c_0_18,
    [final] ).

cnf(c_0_41_239,negated_conjecture,
    v8_vectsp_1(esk1_0),
    c_0_19,
    [final] ).

cnf(c_0_42_240,negated_conjecture,
    l3_vectsp_1(esk1_0),
    c_0_20,
    [final] ).

cnf(c_0_43_241,negated_conjecture,
    v3_rlvect_1(esk2_0),
    c_0_21,
    [final] ).

cnf(c_0_44_242,negated_conjecture,
    v4_rlvect_1(esk2_0),
    c_0_22,
    [final] ).

cnf(c_0_45_243,negated_conjecture,
    v5_rlvect_1(esk2_0),
    c_0_23,
    [final] ).

cnf(c_0_46_244,negated_conjecture,
    v6_rlvect_1(esk2_0),
    c_0_24,
    [final] ).

% End CNF derivation

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

cnf(c_434,negated_conjecture,
    ~ v3_struct_0(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_32) ).

cnf(c_521,negated_conjecture,
    ~ v3_struct_0(sk3_esk1_0),
    inference(copy,[status(esa)],[c_434]) ).

cnf(c_608,negated_conjecture,
    ~ v3_struct_0(sk3_esk1_0),
    inference(copy,[status(esa)],[c_521]) ).

cnf(c_649,negated_conjecture,
    ~ v3_struct_0(sk3_esk1_0),
    inference(copy,[status(esa)],[c_608]) ).

cnf(c_652,negated_conjecture,
    ~ v3_struct_0(sk3_esk1_0),
    inference(copy,[status(esa)],[c_649]) ).

cnf(c_1996,negated_conjecture,
    ~ v3_struct_0(sk3_esk1_0),
    inference(copy,[status(esa)],[c_652]) ).

cnf(c_62,plain,
    ( ~ v1_rmod_5(X0,X1,X2)
    | ~ m2_rmod_4(X3,X1,X2,X0)
    | k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X3) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_151_0) ).

cnf(c_1252,plain,
    ( ~ v1_rmod_5(X0,X1,X2)
    | ~ m2_rmod_4(X3,X1,X2,X0)
    | k5_rmod_4(X1,X2,X3) != k1_rlvect_1(X2)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v3_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | k2_rmod_4(X1,X2,X3) = k1_xboole_0
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(copy,[status(esa)],[c_62]) ).

cnf(c_1253,plain,
    ( v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X0,X1)
    | ~ v5_vectsp_2(X0,X1)
    | ~ v6_rlvect_1(X0)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X0)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X0)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X0)
    | ~ v3_rlvect_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m2_rmod_4(X3,X1,X0,X2)
    | ~ v1_rmod_5(X2,X1,X0)
    | k2_rmod_4(X1,X0,X3) = k1_xboole_0
    | k5_rmod_4(X1,X0,X3) != k1_rlvect_1(X0) ),
    inference(rewriting,[status(thm)],[c_1252]) ).

cnf(c_2333,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(sk3_esk1_0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m2_rmod_4(X2,sk3_esk1_0,X0,X1)
    | ~ v1_rmod_5(X1,sk3_esk1_0,X0)
    | k2_rmod_4(sk3_esk1_0,X0,X2) = k1_xboole_0
    | k5_rmod_4(sk3_esk1_0,X0,X2) != k1_rlvect_1(X0) ),
    inference(resolution,[status(thm)],[c_1996,c_1253]) ).

cnf(c_2338,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(sk3_esk1_0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m2_rmod_4(X2,sk3_esk1_0,X0,X1)
    | ~ v1_rmod_5(X1,sk3_esk1_0,X0)
    | k2_rmod_4(sk3_esk1_0,X0,X2) = k1_xboole_0
    | k5_rmod_4(sk3_esk1_0,X0,X2) != k1_rlvect_1(X0) ),
    inference(rewriting,[status(thm)],[c_2333]) ).

cnf(c_446,negated_conjecture,
    v4_group_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_38) ).

cnf(c_545,negated_conjecture,
    v4_group_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_446]) ).

cnf(c_620,negated_conjecture,
    v4_group_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_545]) ).

cnf(c_637,negated_conjecture,
    v4_group_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_620]) ).

cnf(c_664,negated_conjecture,
    v4_group_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_637]) ).

cnf(c_2020,negated_conjecture,
    v4_group_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_664]) ).

cnf(c_447,negated_conjecture,
    v6_vectsp_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_39) ).

cnf(c_547,negated_conjecture,
    v6_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_447]) ).

cnf(c_621,negated_conjecture,
    v6_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_547]) ).

cnf(c_636,negated_conjecture,
    v6_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_621]) ).

cnf(c_665,negated_conjecture,
    v6_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_636]) ).

cnf(c_2022,negated_conjecture,
    v6_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_665]) ).

cnf(c_448,negated_conjecture,
    v7_vectsp_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_40) ).

cnf(c_549,negated_conjecture,
    v7_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_448]) ).

cnf(c_622,negated_conjecture,
    v7_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_549]) ).

cnf(c_635,negated_conjecture,
    v7_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_622]) ).

cnf(c_666,negated_conjecture,
    v7_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_635]) ).

cnf(c_2024,negated_conjecture,
    v7_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_666]) ).

cnf(c_449,negated_conjecture,
    v8_vectsp_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_41) ).

cnf(c_551,negated_conjecture,
    v8_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_449]) ).

cnf(c_623,negated_conjecture,
    v8_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_551]) ).

cnf(c_634,negated_conjecture,
    v8_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_623]) ).

cnf(c_667,negated_conjecture,
    v8_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_634]) ).

cnf(c_2026,negated_conjecture,
    v8_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_667]) ).

cnf(c_450,negated_conjecture,
    l3_vectsp_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_42) ).

cnf(c_553,negated_conjecture,
    l3_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_450]) ).

cnf(c_624,negated_conjecture,
    l3_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_553]) ).

cnf(c_633,negated_conjecture,
    l3_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_624]) ).

cnf(c_668,negated_conjecture,
    l3_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_633]) ).

cnf(c_2028,negated_conjecture,
    l3_vectsp_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_668]) ).

cnf(c_442,negated_conjecture,
    v3_rlvect_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_34) ).

cnf(c_537,negated_conjecture,
    v3_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_442]) ).

cnf(c_616,negated_conjecture,
    v3_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_537]) ).

cnf(c_641,negated_conjecture,
    v3_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_616]) ).

cnf(c_660,negated_conjecture,
    v3_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_641]) ).

cnf(c_2012,negated_conjecture,
    v3_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_660]) ).

cnf(c_443,negated_conjecture,
    v4_rlvect_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_35) ).

cnf(c_539,negated_conjecture,
    v4_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_443]) ).

cnf(c_617,negated_conjecture,
    v4_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_539]) ).

cnf(c_640,negated_conjecture,
    v4_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_617]) ).

cnf(c_661,negated_conjecture,
    v4_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_640]) ).

cnf(c_2014,negated_conjecture,
    v4_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_661]) ).

cnf(c_444,negated_conjecture,
    v5_rlvect_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_36) ).

cnf(c_541,negated_conjecture,
    v5_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_444]) ).

cnf(c_618,negated_conjecture,
    v5_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_541]) ).

cnf(c_639,negated_conjecture,
    v5_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_618]) ).

cnf(c_662,negated_conjecture,
    v5_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_639]) ).

cnf(c_2016,negated_conjecture,
    v5_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_662]) ).

cnf(c_445,negated_conjecture,
    v6_rlvect_1(sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_37) ).

cnf(c_543,negated_conjecture,
    v6_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_445]) ).

cnf(c_619,negated_conjecture,
    v6_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_543]) ).

cnf(c_638,negated_conjecture,
    v6_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_619]) ).

cnf(c_663,negated_conjecture,
    v6_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_638]) ).

cnf(c_2018,negated_conjecture,
    v6_rlvect_1(sk3_esk1_0),
    inference(copy,[status(esa)],[c_663]) ).

cnf(c_7070,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m2_rmod_4(X2,sk3_esk1_0,X0,X1)
    | ~ v1_rmod_5(X1,sk3_esk1_0,X0)
    | k2_rmod_4(sk3_esk1_0,X0,X2) = k1_xboole_0
    | k5_rmod_4(sk3_esk1_0,X0,X2) != k1_rlvect_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2338,c_2020,c_2022,c_2024,c_2026,c_2028,c_2012,c_2014,c_2016,c_2018]) ).

cnf(c_7071,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m2_rmod_4(X2,sk3_esk1_0,X0,X1)
    | ~ v1_rmod_5(X1,sk3_esk1_0,X0)
    | k2_rmod_4(sk3_esk1_0,X0,X2) = k1_xboole_0
    | k5_rmod_4(sk3_esk1_0,X0,X2) != k1_rlvect_1(X0) ),
    inference(rewriting,[status(thm)],[c_7070]) ).

cnf(c_451,negated_conjecture,
    v3_rlvect_1(sk3_esk2_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_43) ).

cnf(c_555,negated_conjecture,
    v3_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_451]) ).

cnf(c_625,negated_conjecture,
    v3_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_555]) ).

cnf(c_632,negated_conjecture,
    v3_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_625]) ).

cnf(c_669,negated_conjecture,
    v3_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_632]) ).

cnf(c_2030,negated_conjecture,
    v3_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_669]) ).

cnf(c_261,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_rmod_5(X0,X2,X1)
    | k5_rmod_4(X2,X1,sk2_esk23_3(X2,X1,X0)) = k1_rlvect_1(X1)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_164_18) ).

cnf(c_1650,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_rmod_5(X0,X2,X1)
    | k5_rmod_4(X2,X1,sk2_esk23_3(X2,X1,X0)) = k1_rlvect_1(X1)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(copy,[status(esa)],[c_261]) ).

cnf(c_1651,plain,
    ( v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X1,X0)
    | ~ v5_vectsp_2(X1,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X0)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X0)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X0)
    | ~ v3_rlvect_1(X1)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | v1_rmod_5(X2,X0,X1)
    | k5_rmod_4(X0,X1,sk2_esk23_3(X0,X1,X2)) = k1_rlvect_1(X1) ),
    inference(rewriting,[status(thm)],[c_1650]) ).

cnf(c_2198,plain,
    ( v3_struct_0(sk3_esk2_0)
    | v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(X1,X0,sk3_esk2_0)
    | k5_rmod_4(X0,sk3_esk2_0,sk2_esk23_3(X0,sk3_esk2_0,X1)) = k1_rlvect_1(sk3_esk2_0) ),
    inference(resolution,[status(thm)],[c_2030,c_1651]) ).

cnf(c_2213,plain,
    ( v3_struct_0(sk3_esk2_0)
    | v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(X1,X0,sk3_esk2_0)
    | k5_rmod_4(X0,sk3_esk2_0,sk2_esk23_3(X0,sk3_esk2_0,X1)) = k1_rlvect_1(sk3_esk2_0) ),
    inference(rewriting,[status(thm)],[c_2198]) ).

cnf(c_452,negated_conjecture,
    v4_rlvect_1(sk3_esk2_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_44) ).

cnf(c_557,negated_conjecture,
    v4_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_452]) ).

cnf(c_626,negated_conjecture,
    v4_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_557]) ).

cnf(c_631,negated_conjecture,
    v4_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_626]) ).

cnf(c_670,negated_conjecture,
    v4_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_631]) ).

cnf(c_2032,negated_conjecture,
    v4_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_670]) ).

cnf(c_453,negated_conjecture,
    v5_rlvect_1(sk3_esk2_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_45) ).

cnf(c_559,negated_conjecture,
    v5_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_453]) ).

cnf(c_627,negated_conjecture,
    v5_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_559]) ).

cnf(c_630,negated_conjecture,
    v5_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_627]) ).

cnf(c_671,negated_conjecture,
    v5_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_630]) ).

cnf(c_2034,negated_conjecture,
    v5_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_671]) ).

cnf(c_454,negated_conjecture,
    v6_rlvect_1(sk3_esk2_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_46) ).

cnf(c_561,negated_conjecture,
    v6_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_454]) ).

cnf(c_628,negated_conjecture,
    v6_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_561]) ).

cnf(c_629,negated_conjecture,
    v6_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_628]) ).

cnf(c_672,negated_conjecture,
    v6_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_629]) ).

cnf(c_2036,negated_conjecture,
    v6_rlvect_1(sk3_esk2_0),
    inference(copy,[status(esa)],[c_672]) ).

cnf(c_435,negated_conjecture,
    ~ v3_struct_0(sk3_esk2_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_33) ).

cnf(c_523,negated_conjecture,
    ~ v3_struct_0(sk3_esk2_0),
    inference(copy,[status(esa)],[c_435]) ).

cnf(c_609,negated_conjecture,
    ~ v3_struct_0(sk3_esk2_0),
    inference(copy,[status(esa)],[c_523]) ).

cnf(c_648,negated_conjecture,
    ~ v3_struct_0(sk3_esk2_0),
    inference(copy,[status(esa)],[c_609]) ).

cnf(c_653,negated_conjecture,
    ~ v3_struct_0(sk3_esk2_0),
    inference(copy,[status(esa)],[c_648]) ).

cnf(c_1998,negated_conjecture,
    ~ v3_struct_0(sk3_esk2_0),
    inference(copy,[status(esa)],[c_653]) ).

cnf(c_5282,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(X1,X0,sk3_esk2_0)
    | k5_rmod_4(X0,sk3_esk2_0,sk2_esk23_3(X0,sk3_esk2_0,X1)) = k1_rlvect_1(sk3_esk2_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2213,c_2032,c_2034,c_2036,c_1998]) ).

cnf(c_5283,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(X1,X0,sk3_esk2_0)
    | k5_rmod_4(X0,sk3_esk2_0,sk2_esk23_3(X0,sk3_esk2_0,X1)) = k1_rlvect_1(sk3_esk2_0) ),
    inference(rewriting,[status(thm)],[c_5282]) ).

cnf(c_7092,plain,
    ( v3_struct_0(sk3_esk1_0)
    | v3_struct_0(sk3_esk2_0)
    | ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v3_rlvect_1(sk3_esk1_0)
    | ~ v3_rlvect_1(sk3_esk2_0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X1),sk3_esk1_0,sk3_esk2_0,X0)
    | ~ v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0)
    | v1_rmod_5(X1,sk3_esk1_0,sk3_esk2_0)
    | k2_rmod_4(sk3_esk1_0,sk3_esk2_0,sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X1)) = k1_xboole_0 ),
    inference(resolution,[status(thm)],[c_7071,c_5283]) ).

cnf(c_7093,plain,
    ( v3_struct_0(sk3_esk1_0)
    | v3_struct_0(sk3_esk2_0)
    | ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v3_rlvect_1(sk3_esk1_0)
    | ~ v3_rlvect_1(sk3_esk2_0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X1),sk3_esk1_0,sk3_esk2_0,X0)
    | ~ v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0)
    | v1_rmod_5(X1,sk3_esk1_0,sk3_esk2_0)
    | k2_rmod_4(sk3_esk1_0,sk3_esk2_0,sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X1)) = k1_xboole_0 ),
    inference(rewriting,[status(thm)],[c_7092]) ).

cnf(c_439,negated_conjecture,
    v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_29) ).

cnf(c_531,negated_conjecture,
    v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_439]) ).

cnf(c_613,negated_conjecture,
    v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_531]) ).

cnf(c_644,negated_conjecture,
    v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_613]) ).

cnf(c_657,negated_conjecture,
    v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_644]) ).

cnf(c_2006,negated_conjecture,
    v5_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_657]) ).

cnf(c_440,negated_conjecture,
    l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_30) ).

cnf(c_533,negated_conjecture,
    l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_440]) ).

cnf(c_614,negated_conjecture,
    l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_533]) ).

cnf(c_643,negated_conjecture,
    l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_614]) ).

cnf(c_658,negated_conjecture,
    l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_643]) ).

cnf(c_2008,negated_conjecture,
    l1_vectsp_2(sk3_esk2_0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_658]) ).

cnf(c_36522,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X1),sk3_esk1_0,sk3_esk2_0,X0)
    | ~ v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0)
    | v1_rmod_5(X1,sk3_esk1_0,sk3_esk2_0)
    | k2_rmod_4(sk3_esk1_0,sk3_esk2_0,sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X1)) = k1_xboole_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7093,c_2020,c_2022,c_2024,c_2026,c_2028,c_2030,c_2012,c_2032,c_2014,c_2034,c_2016,c_2036,c_2018,c_2006,c_2008,c_1998,c_1996]) ).

cnf(c_36523,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X1),sk3_esk1_0,sk3_esk2_0,X0)
    | ~ v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0)
    | v1_rmod_5(X1,sk3_esk1_0,sk3_esk2_0)
    | k2_rmod_4(sk3_esk1_0,sk3_esk2_0,sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X1)) = k1_xboole_0 ),
    inference(rewriting,[status(thm)],[c_36522]) ).

cnf(c_61,plain,
    ( m2_rmod_4(X0,X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ r1_tarski(X4,X3)
    | ~ m2_rmod_4(X0,X1,X2,X4)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_150_21) ).

cnf(c_1250,plain,
    ( m2_rmod_4(X0,X1,X2,X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ r1_tarski(X4,X3)
    | ~ m2_rmod_4(X0,X1,X2,X4)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l1_vectsp_2(X2,X1)
    | ~ v5_vectsp_2(X2,X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(copy,[status(esa)],[c_61]) ).

cnf(c_1251,plain,
    ( v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X0,X1)
    | ~ v5_vectsp_2(X0,X1)
    | ~ v6_rlvect_1(X0)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X0)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X0)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X0)
    | ~ v3_rlvect_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
    | m2_rmod_4(X4,X1,X0,X2)
    | ~ m2_rmod_4(X4,X1,X0,X3)
    | ~ r1_tarski(X3,X2) ),
    inference(rewriting,[status(thm)],[c_1250]) ).

cnf(c_2053,plain,
    ( v3_struct_0(sk3_esk1_0)
    | v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
    | m2_rmod_4(X3,sk3_esk1_0,X0,X1)
    | ~ m2_rmod_4(X3,sk3_esk1_0,X0,X2)
    | ~ r1_tarski(X2,X1) ),
    inference(resolution,[status(thm)],[c_2012,c_1251]) ).

cnf(c_2058,plain,
    ( v3_struct_0(sk3_esk1_0)
    | v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
    | m2_rmod_4(X3,sk3_esk1_0,X0,X1)
    | ~ m2_rmod_4(X3,sk3_esk1_0,X0,X2)
    | ~ r1_tarski(X2,X1) ),
    inference(rewriting,[status(thm)],[c_2053]) ).

cnf(c_5958,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
    | m2_rmod_4(X3,sk3_esk1_0,X0,X1)
    | ~ m2_rmod_4(X3,sk3_esk1_0,X0,X2)
    | ~ r1_tarski(X2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2058,c_2020,c_2022,c_2024,c_2026,c_2028,c_2014,c_2016,c_2018,c_1996]) ).

cnf(c_5959,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
    | m2_rmod_4(X3,sk3_esk1_0,X0,X1)
    | ~ m2_rmod_4(X3,sk3_esk1_0,X0,X2)
    | ~ r1_tarski(X2,X1) ),
    inference(rewriting,[status(thm)],[c_5958]) ).

cnf(c_441,negated_conjecture,
    r1_tarski(sk3_esk3_0,sk3_esk4_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_31) ).

cnf(c_535,negated_conjecture,
    r1_tarski(sk3_esk3_0,sk3_esk4_0),
    inference(copy,[status(esa)],[c_441]) ).

cnf(c_615,negated_conjecture,
    r1_tarski(sk3_esk3_0,sk3_esk4_0),
    inference(copy,[status(esa)],[c_535]) ).

cnf(c_642,negated_conjecture,
    r1_tarski(sk3_esk3_0,sk3_esk4_0),
    inference(copy,[status(esa)],[c_615]) ).

cnf(c_659,negated_conjecture,
    r1_tarski(sk3_esk3_0,sk3_esk4_0),
    inference(copy,[status(esa)],[c_642]) ).

cnf(c_2010,negated_conjecture,
    r1_tarski(sk3_esk3_0,sk3_esk4_0),
    inference(copy,[status(esa)],[c_659]) ).

cnf(c_5974,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m2_rmod_4(X1,sk3_esk1_0,X0,sk3_esk3_0)
    | m2_rmod_4(X1,sk3_esk1_0,X0,sk3_esk4_0) ),
    inference(resolution,[status(thm)],[c_5959,c_2010]) ).

cnf(c_5975,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(X0,sk3_esk1_0)
    | ~ v5_vectsp_2(X0,sk3_esk1_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(X0)))
    | ~ m2_rmod_4(X1,sk3_esk1_0,X0,sk3_esk3_0)
    | m2_rmod_4(X1,sk3_esk1_0,X0,sk3_esk4_0) ),
    inference(rewriting,[status(thm)],[c_5974]) ).

cnf(c_36538,plain,
    ( v3_struct_0(sk3_esk2_0)
    | ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v3_rlvect_1(sk3_esk2_0)
    | ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
    | ~ v1_rmod_5(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0)
    | v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0)
    | k2_rmod_4(sk3_esk1_0,sk3_esk2_0,sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0)) = k1_xboole_0 ),
    inference(resolution,[status(thm)],[c_36523,c_5975]) ).

cnf(c_36539,plain,
    ( v3_struct_0(sk3_esk2_0)
    | ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v3_rlvect_1(sk3_esk2_0)
    | ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
    | ~ v1_rmod_5(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0)
    | v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0)
    | k2_rmod_4(sk3_esk1_0,sk3_esk2_0,sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0)) = k1_xboole_0 ),
    inference(rewriting,[status(thm)],[c_36538]) ).

cnf(c_436,negated_conjecture,
    v1_rmod_5(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_26) ).

cnf(c_525,negated_conjecture,
    v1_rmod_5(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_436]) ).

cnf(c_610,negated_conjecture,
    v1_rmod_5(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_525]) ).

cnf(c_647,negated_conjecture,
    v1_rmod_5(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_610]) ).

cnf(c_654,negated_conjecture,
    v1_rmod_5(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_647]) ).

cnf(c_2000,plain,
    v1_rmod_5(sk3_esk4_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_654]) ).

cnf(c_438,negated_conjecture,
    m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_28) ).

cnf(c_529,negated_conjecture,
    m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_438]) ).

cnf(c_612,negated_conjecture,
    m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_529]) ).

cnf(c_645,negated_conjecture,
    m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_612]) ).

cnf(c_656,negated_conjecture,
    m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_645]) ).

cnf(c_2004,negated_conjecture,
    m1_subset_1(sk3_esk4_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_656]) ).

cnf(c_437,negated_conjecture,
    m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_27) ).

cnf(c_527,negated_conjecture,
    m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_437]) ).

cnf(c_611,negated_conjecture,
    m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_527]) ).

cnf(c_646,negated_conjecture,
    m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_611]) ).

cnf(c_655,negated_conjecture,
    m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_646]) ).

cnf(c_2002,negated_conjecture,
    m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0))),
    inference(copy,[status(esa)],[c_655]) ).

cnf(c_36580,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
    | v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0)
    | k2_rmod_4(sk3_esk1_0,sk3_esk2_0,sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0)) = k1_xboole_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36539,c_2000,c_2004,c_2002,c_2030,c_2032,c_2034,c_2036,c_2006,c_2008,c_1998]) ).

cnf(c_36581,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
    | v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0)
    | k2_rmod_4(sk3_esk1_0,sk3_esk2_0,sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0)) = k1_xboole_0 ),
    inference(rewriting,[status(thm)],[c_36580]) ).

cnf(c_229,plain,
    ( k2_rmod_4(X0,X1,sk2_esk23_3(X0,X1,X2)) != k1_xboole_0
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X0)
    | v3_struct_0(X1)
    | v1_rmod_5(X2,X0,X1)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l1_vectsp_2(X1,X0)
    | ~ v5_vectsp_2(X1,X0)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_160_17) ).

cnf(c_1586,plain,
    ( k2_rmod_4(X0,X1,sk2_esk23_3(X0,X1,X2)) != k1_xboole_0
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X0)
    | v3_struct_0(X1)
    | v1_rmod_5(X2,X0,X1)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l1_vectsp_2(X1,X0)
    | ~ v5_vectsp_2(X1,X0)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(copy,[status(esa)],[c_229]) ).

cnf(c_1587,plain,
    ( v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X1,X0)
    | ~ v5_vectsp_2(X1,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X0)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X0)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X0)
    | ~ v3_rlvect_1(X1)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | v1_rmod_5(X2,X0,X1)
    | k2_rmod_4(X0,X1,sk2_esk23_3(X0,X1,X2)) != k1_xboole_0 ),
    inference(rewriting,[status(thm)],[c_1586]) ).

cnf(c_2199,plain,
    ( v3_struct_0(sk3_esk2_0)
    | v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(X1,X0,sk3_esk2_0)
    | k2_rmod_4(X0,sk3_esk2_0,sk2_esk23_3(X0,sk3_esk2_0,X1)) != k1_xboole_0 ),
    inference(resolution,[status(thm)],[c_2030,c_1587]) ).

cnf(c_2212,plain,
    ( v3_struct_0(sk3_esk2_0)
    | v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(X1,X0,sk3_esk2_0)
    | k2_rmod_4(X0,sk3_esk2_0,sk2_esk23_3(X0,sk3_esk2_0,X1)) != k1_xboole_0 ),
    inference(rewriting,[status(thm)],[c_2199]) ).

cnf(c_5240,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(X1,X0,sk3_esk2_0)
    | k2_rmod_4(X0,sk3_esk2_0,sk2_esk23_3(X0,sk3_esk2_0,X1)) != k1_xboole_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2212,c_2032,c_2034,c_2036,c_1998]) ).

cnf(c_5241,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(X1,X0,sk3_esk2_0)
    | k2_rmod_4(X0,sk3_esk2_0,sk2_esk23_3(X0,sk3_esk2_0,X1)) != k1_xboole_0 ),
    inference(rewriting,[status(thm)],[c_5240]) ).

cnf(c_36586,plain,
    ( v3_struct_0(sk3_esk1_0)
    | ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v3_rlvect_1(sk3_esk1_0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
    | v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0) ),
    inference(resolution,[status(thm)],[c_36581,c_5241]) ).

cnf(c_36587,plain,
    ( v3_struct_0(sk3_esk1_0)
    | ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v3_rlvect_1(sk3_esk1_0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
    | v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0) ),
    inference(rewriting,[status(thm)],[c_36586]) ).

cnf(c_36607,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
    | v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36587,c_2020,c_2022,c_2024,c_2026,c_2028,c_2012,c_2014,c_2016,c_2018,c_2006,c_2008,c_1996]) ).

cnf(c_36608,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | ~ m2_rmod_4(sk2_esk23_3(sk3_esk1_0,sk3_esk2_0,X0),sk3_esk1_0,sk3_esk2_0,sk3_esk3_0)
    | v1_rmod_5(X0,sk3_esk1_0,sk3_esk2_0) ),
    inference(rewriting,[status(thm)],[c_36607]) ).

cnf(c_164,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_rmod_5(X0,X2,X1)
    | m2_rmod_4(sk2_esk23_3(X2,X1,X0),X2,X1,X0)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_155_18) ).

cnf(c_1456,plain,
    ( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_rmod_5(X0,X2,X1)
    | m2_rmod_4(sk2_esk23_3(X2,X1,X0),X2,X1,X0)
    | ~ l3_vectsp_1(X2)
    | ~ v8_vectsp_1(X2)
    | ~ v7_vectsp_1(X2)
    | ~ v6_vectsp_1(X2)
    | ~ v4_group_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X2)
    | ~ l1_vectsp_2(X1,X2)
    | ~ v5_vectsp_2(X1,X2)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X1) ),
    inference(copy,[status(esa)],[c_164]) ).

cnf(c_1457,plain,
    ( v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ l1_vectsp_2(X1,X0)
    | ~ v5_vectsp_2(X1,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v6_rlvect_1(X1)
    | ~ v5_rlvect_1(X0)
    | ~ v5_rlvect_1(X1)
    | ~ v4_rlvect_1(X0)
    | ~ v4_rlvect_1(X1)
    | ~ v3_rlvect_1(X0)
    | ~ v3_rlvect_1(X1)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | m2_rmod_4(sk2_esk23_3(X0,X1,X2),X0,X1,X2)
    | v1_rmod_5(X2,X0,X1) ),
    inference(rewriting,[status(thm)],[c_1456]) ).

cnf(c_2200,plain,
    ( v3_struct_0(sk3_esk2_0)
    | v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | m2_rmod_4(sk2_esk23_3(X0,sk3_esk2_0,X1),X0,sk3_esk2_0,X1)
    | v1_rmod_5(X1,X0,sk3_esk2_0) ),
    inference(resolution,[status(thm)],[c_2030,c_1457]) ).

cnf(c_2211,plain,
    ( v3_struct_0(sk3_esk2_0)
    | v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(sk3_esk2_0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(sk3_esk2_0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(sk3_esk2_0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | m2_rmod_4(sk2_esk23_3(X0,sk3_esk2_0,X1),X0,sk3_esk2_0,X1)
    | v1_rmod_5(X1,X0,sk3_esk2_0) ),
    inference(rewriting,[status(thm)],[c_2200]) ).

cnf(c_4421,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | m2_rmod_4(sk2_esk23_3(X0,sk3_esk2_0,X1),X0,sk3_esk2_0,X1)
    | v1_rmod_5(X1,X0,sk3_esk2_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2211,c_2032,c_2034,c_2036,c_1998]) ).

cnf(c_4422,plain,
    ( v3_struct_0(X0)
    | ~ l1_vectsp_2(sk3_esk2_0,X0)
    | ~ v5_vectsp_2(sk3_esk2_0,X0)
    | ~ v6_rlvect_1(X0)
    | ~ v5_rlvect_1(X0)
    | ~ v4_rlvect_1(X0)
    | ~ v3_rlvect_1(X0)
    | ~ l3_vectsp_1(X0)
    | ~ v8_vectsp_1(X0)
    | ~ v7_vectsp_1(X0)
    | ~ v6_vectsp_1(X0)
    | ~ v4_group_1(X0)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | m2_rmod_4(sk2_esk23_3(X0,sk3_esk2_0,X1),X0,sk3_esk2_0,X1)
    | v1_rmod_5(X1,X0,sk3_esk2_0) ),
    inference(rewriting,[status(thm)],[c_4421]) ).

cnf(c_36614,plain,
    ( v3_struct_0(sk3_esk1_0)
    | ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v3_rlvect_1(sk3_esk1_0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0) ),
    inference(resolution,[status(thm)],[c_36608,c_4422]) ).

cnf(c_36615,plain,
    ( v3_struct_0(sk3_esk1_0)
    | ~ l1_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v5_vectsp_2(sk3_esk2_0,sk3_esk1_0)
    | ~ v6_rlvect_1(sk3_esk1_0)
    | ~ v5_rlvect_1(sk3_esk1_0)
    | ~ v4_rlvect_1(sk3_esk1_0)
    | ~ v3_rlvect_1(sk3_esk1_0)
    | ~ l3_vectsp_1(sk3_esk1_0)
    | ~ v8_vectsp_1(sk3_esk1_0)
    | ~ v7_vectsp_1(sk3_esk1_0)
    | ~ v6_vectsp_1(sk3_esk1_0)
    | ~ v4_group_1(sk3_esk1_0)
    | ~ m1_subset_1(sk3_esk3_0,k1_zfmisc_1(u1_struct_0(sk3_esk2_0)))
    | v1_rmod_5(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0) ),
    inference(rewriting,[status(thm)],[c_36614]) ).

cnf(c_433,negated_conjecture,
    ~ v1_rmod_5(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p',c_0_25) ).

cnf(c_519,negated_conjecture,
    ~ v1_rmod_5(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_433]) ).

cnf(c_607,negated_conjecture,
    ~ v1_rmod_5(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_519]) ).

cnf(c_650,negated_conjecture,
    ~ v1_rmod_5(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_607]) ).

cnf(c_651,negated_conjecture,
    ~ v1_rmod_5(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_650]) ).

cnf(c_1994,negated_conjecture,
    ~ v1_rmod_5(sk3_esk3_0,sk3_esk1_0,sk3_esk2_0),
    inference(copy,[status(esa)],[c_651]) ).

cnf(c_36630,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_36615,c_1994,c_2002,c_2020,c_2022,c_2024,c_2026,c_2028,c_2012,c_2014,c_2016,c_2018,c_2006,c_2008,c_1996]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ALG214+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.10  % Command  : iprover_modulo %s %d
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 600
% 0.10/0.28  % DateTime : Wed Jun  8 11:50:36 EDT 2022
% 0.14/0.28  % CPUTime  : 
% 0.14/0.29  % Running in mono-core mode
% 0.14/0.35  % Orienting using strategy Equiv(ClausalAll)
% 0.14/0.35  % FOF problem with conjecture
% 0.14/0.35  % 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_37542d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_18fb63.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_6a380d | grep -v "SZS"
% 0.14/0.37  
% 0.14/0.37  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.14/0.37  
% 0.14/0.37  % 
% 0.14/0.37  % ------  iProver source info 
% 0.14/0.37  
% 0.14/0.37  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.14/0.37  % git: non_committed_changes: true
% 0.14/0.37  % git: last_make_outside_of_git: true
% 0.14/0.37  
% 0.14/0.37  % 
% 0.14/0.37  % ------ Input Options
% 0.14/0.37  
% 0.14/0.37  % --out_options                         all
% 0.14/0.37  % --tptp_safe_out                       true
% 0.14/0.37  % --problem_path                        ""
% 0.14/0.37  % --include_path                        ""
% 0.14/0.37  % --clausifier                          .//eprover
% 0.14/0.37  % --clausifier_options                  --tstp-format  
% 0.14/0.37  % --stdin                               false
% 0.14/0.37  % --dbg_backtrace                       false
% 0.14/0.37  % --dbg_dump_prop_clauses               false
% 0.14/0.37  % --dbg_dump_prop_clauses_file          -
% 0.14/0.37  % --dbg_out_stat                        false
% 0.14/0.37  
% 0.14/0.37  % ------ General Options
% 0.14/0.37  
% 0.14/0.37  % --fof                                 false
% 0.14/0.37  % --time_out_real                       150.
% 0.14/0.37  % --time_out_prep_mult                  0.2
% 0.14/0.37  % --time_out_virtual                    -1.
% 0.14/0.37  % --schedule                            none
% 0.14/0.37  % --ground_splitting                    input
% 0.14/0.37  % --splitting_nvd                       16
% 0.14/0.37  % --non_eq_to_eq                        false
% 0.14/0.37  % --prep_gs_sim                         true
% 0.14/0.37  % --prep_unflatten                      false
% 0.14/0.37  % --prep_res_sim                        true
% 0.14/0.37  % --prep_upred                          true
% 0.14/0.37  % --res_sim_input                       true
% 0.14/0.37  % --clause_weak_htbl                    true
% 0.14/0.37  % --gc_record_bc_elim                   false
% 0.14/0.37  % --symbol_type_check                   false
% 0.14/0.37  % --clausify_out                        false
% 0.14/0.37  % --large_theory_mode                   false
% 0.14/0.37  % --prep_sem_filter                     none
% 0.14/0.37  % --prep_sem_filter_out                 false
% 0.14/0.37  % --preprocessed_out                    false
% 0.14/0.37  % --sub_typing                          false
% 0.14/0.37  % --brand_transform                     false
% 0.14/0.37  % --pure_diseq_elim                     true
% 0.14/0.37  % --min_unsat_core                      false
% 0.14/0.37  % --pred_elim                           true
% 0.14/0.37  % --add_important_lit                   false
% 0.14/0.37  % --soft_assumptions                    false
% 0.14/0.37  % --reset_solvers                       false
% 0.14/0.37  % --bc_imp_inh                          []
% 0.14/0.37  % --conj_cone_tolerance                 1.5
% 0.14/0.37  % --prolific_symb_bound                 500
% 0.14/0.37  % --lt_threshold                        2000
% 0.14/0.37  
% 0.14/0.37  % ------ SAT Options
% 0.14/0.37  
% 0.14/0.37  % --sat_mode                            false
% 0.14/0.37  % --sat_fm_restart_options              ""
% 0.14/0.37  % --sat_gr_def                          false
% 0.14/0.37  % --sat_epr_types                       true
% 0.14/0.37  % --sat_non_cyclic_types                false
% 0.14/0.37  % --sat_finite_models                   false
% 0.14/0.37  % --sat_fm_lemmas                       false
% 0.14/0.37  % --sat_fm_prep                         false
% 0.14/0.37  % --sat_fm_uc_incr                      true
% 0.14/0.37  % --sat_out_model                       small
% 0.14/0.37  % --sat_out_clauses                     false
% 0.14/0.37  
% 0.14/0.37  % ------ QBF Options
% 0.14/0.37  
% 0.14/0.37  % --qbf_mode                            false
% 0.14/0.37  % --qbf_elim_univ                       true
% 0.14/0.37  % --qbf_sk_in                           true
% 0.14/0.37  % --qbf_pred_elim                       true
% 0.14/0.37  % --qbf_split                           32
% 0.14/0.37  
% 0.14/0.37  % ------ BMC1 Options
% 0.14/0.37  
% 0.14/0.37  % --bmc1_incremental                    false
% 0.14/0.37  % --bmc1_axioms                         reachable_all
% 0.14/0.37  % --bmc1_min_bound                      0
% 0.14/0.37  % --bmc1_max_bound                      -1
% 0.14/0.37  % --bmc1_max_bound_default              -1
% 0.14/0.37  % --bmc1_symbol_reachability            true
% 0.14/0.37  % --bmc1_property_lemmas                false
% 0.14/0.37  % --bmc1_k_induction                    false
% 0.14/0.37  % --bmc1_non_equiv_states               false
% 0.14/0.37  % --bmc1_deadlock                       false
% 0.14/0.37  % --bmc1_ucm                            false
% 0.14/0.37  % --bmc1_add_unsat_core                 none
% 0.14/0.37  % --bmc1_unsat_core_children            false
% 0.14/0.37  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.14/0.37  % --bmc1_out_stat                       full
% 0.14/0.37  % --bmc1_ground_init                    false
% 0.14/0.37  % --bmc1_pre_inst_next_state            false
% 0.14/0.37  % --bmc1_pre_inst_state                 false
% 0.14/0.37  % --bmc1_pre_inst_reach_state           false
% 0.14/0.37  % --bmc1_out_unsat_core                 false
% 0.14/0.37  % --bmc1_aig_witness_out                false
% 0.14/0.37  % --bmc1_verbose                        false
% 0.14/0.37  % --bmc1_dump_clauses_tptp              false
% 0.14/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.14/0.44  % --bmc1_dump_file                      -
% 0.14/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.14/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.14/0.44  % --bmc1_ucm_extend_mode                1
% 0.14/0.44  % --bmc1_ucm_init_mode                  2
% 0.14/0.44  % --bmc1_ucm_cone_mode                  none
% 0.14/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.14/0.44  % --bmc1_ucm_relax_model                4
% 0.14/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.14/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.14/0.44  % --bmc1_ucm_layered_model              none
% 0.14/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.14/0.44  
% 0.14/0.44  % ------ AIG Options
% 0.14/0.44  
% 0.14/0.44  % --aig_mode                            false
% 0.14/0.44  
% 0.14/0.44  % ------ Instantiation Options
% 0.14/0.44  
% 0.14/0.44  % --instantiation_flag                  true
% 0.14/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.14/0.44  % --inst_solver_per_active              750
% 0.14/0.44  % --inst_solver_calls_frac              0.5
% 0.14/0.44  % --inst_passive_queue_type             priority_queues
% 0.14/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.14/0.44  % --inst_passive_queues_freq            [25;2]
% 0.14/0.44  % --inst_dismatching                    true
% 0.14/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.14/0.44  % --inst_prop_sim_given                 true
% 0.14/0.44  % --inst_prop_sim_new                   false
% 0.14/0.44  % --inst_orphan_elimination             true
% 0.14/0.44  % --inst_learning_loop_flag             true
% 0.14/0.44  % --inst_learning_start                 3000
% 0.14/0.44  % --inst_learning_factor                2
% 0.14/0.44  % --inst_start_prop_sim_after_learn     3
% 0.14/0.44  % --inst_sel_renew                      solver
% 0.14/0.44  % --inst_lit_activity_flag              true
% 0.14/0.44  % --inst_out_proof                      true
% 0.14/0.44  
% 0.14/0.44  % ------ Resolution Options
% 0.14/0.44  
% 0.14/0.44  % --resolution_flag                     true
% 0.14/0.44  % --res_lit_sel                         kbo_max
% 0.14/0.44  % --res_to_prop_solver                  none
% 0.14/0.44  % --res_prop_simpl_new                  false
% 0.14/0.44  % --res_prop_simpl_given                false
% 0.14/0.44  % --res_passive_queue_type              priority_queues
% 0.14/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.14/0.44  % --res_passive_queues_freq             [15;5]
% 0.14/0.44  % --res_forward_subs                    full
% 0.14/0.44  % --res_backward_subs                   full
% 0.14/0.44  % --res_forward_subs_resolution         true
% 0.14/0.44  % --res_backward_subs_resolution        true
% 0.14/0.44  % --res_orphan_elimination              false
% 0.14/0.44  % --res_time_limit                      1000.
% 0.14/0.44  % --res_out_proof                       true
% 0.14/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_37542d.s
% 0.14/0.44  % --modulo                              true
% 0.14/0.44  
% 0.14/0.44  % ------ Combination Options
% 0.14/0.44  
% 0.14/0.44  % --comb_res_mult                       1000
% 0.14/0.44  % --comb_inst_mult                      300
% 0.14/0.44  % ------ 
% 0.14/0.44  
% 0.14/0.44  % ------ Parsing...% successful
% 0.14/0.44  
% 0.14/0.44  % ------ 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 % 
% 0.14/0.44  
% 0.14/0.44  % ------ Proving...
% 0.14/0.44  % ------ Problem Properties 
% 0.14/0.44  
% 0.14/0.44  % 
% 0.14/0.44  % EPR                                   false
% 0.14/0.44  % Horn                                  false
% 0.14/0.44  % Has equality                          true
% 0.14/0.44  
% 0.14/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.14/0.44  
% 0.14/0.44  
% 0.14/0.44  % % ------ Current options:
% 0.14/0.44  
% 0.14/0.44  % ------ Input Options
% 0.14/0.44  
% 0.14/0.44  % --out_options                         all
% 0.14/0.44  % --tptp_safe_out                       true
% 0.14/0.44  % --problem_path                        ""
% 0.14/0.44  % --include_path                        ""
% 0.14/0.44  % --clausifier                          .//eprover
% 0.14/0.44  % --clausifier_options                  --tstp-format  
% 0.14/0.44  % --stdin                               false
% 0.14/0.44  % --dbg_backtrace                       false
% 0.14/0.44  % --dbg_dump_prop_clauses               false
% 0.14/0.44  % --dbg_dump_prop_clauses_file          -
% 0.14/0.44  % --dbg_out_stat                        false
% 0.14/0.44  
% 0.14/0.44  % ------ General Options
% 0.14/0.44  
% 0.14/0.44  % --fof                                 false
% 0.14/0.44  % --time_out_real                       150.
% 0.14/0.44  % --time_out_prep_mult                  0.2
% 0.14/0.44  % --time_out_virtual                    -1.
% 0.14/0.44  % --schedule                            none
% 0.14/0.44  % --ground_splitting                    input
% 0.14/0.44  % --splitting_nvd                       16
% 0.14/0.44  % --non_eq_to_eq                        false
% 0.14/0.44  % --prep_gs_sim                         true
% 0.14/0.44  % --prep_unflatten                      false
% 0.14/0.44  % --prep_res_sim                        true
% 0.14/0.44  % --prep_upred                          true
% 0.14/0.44  % --res_sim_input                       true
% 0.14/0.44  % --clause_weak_htbl                    true
% 0.14/0.44  % --gc_record_bc_elim                   false
% 0.14/0.44  % --symbol_type_check                   false
% 0.14/0.44  % --clausify_out                        false
% 0.14/0.44  % --large_theory_mode                   false
% 0.14/0.44  % --prep_sem_filter                     none
% 0.14/0.44  % --prep_sem_filter_out                 false
% 0.14/0.44  % --preprocessed_out                    false
% 0.14/0.44  % --sub_typing                          false
% 0.14/0.44  % --brand_transform                     false
% 0.14/0.44  % --pure_diseq_elim                     true
% 0.14/0.44  % --min_unsat_core                      false
% 0.14/0.44  % --pred_elim                           true
% 0.14/0.44  % --add_important_lit                   false
% 0.14/0.44  % --soft_assumptions                    false
% 0.14/0.44  % --reset_solvers                       false
% 0.14/0.44  % --bc_imp_inh                          []
% 0.14/0.44  % --conj_cone_tolerance                 1.5
% 0.14/0.44  % --prolific_symb_bound                 500
% 0.14/0.44  % --lt_threshold                        2000
% 0.14/0.44  
% 0.14/0.44  % ------ SAT Options
% 0.14/0.44  
% 0.14/0.44  % --sat_mode                            false
% 0.14/0.44  % --sat_fm_restart_options              ""
% 0.14/0.44  % --sat_gr_def                          false
% 0.14/0.44  % --sat_epr_types                       true
% 0.14/0.44  % --sat_non_cyclic_types                false
% 0.14/0.44  % --sat_finite_models                   false
% 0.14/0.44  % --sat_fm_lemmas                       false
% 0.14/0.44  % --sat_fm_prep                         false
% 0.14/0.44  % --sat_fm_uc_incr                      true
% 0.14/0.44  % --sat_out_model                       small
% 0.14/0.44  % --sat_out_clauses                     false
% 0.14/0.44  
% 0.14/0.44  % ------ QBF Options
% 0.14/0.44  
% 0.14/0.44  % --qbf_mode                            false
% 0.14/0.44  % --qbf_elim_univ                       true
% 0.14/0.44  % --qbf_sk_in                           true
% 0.14/0.44  % --qbf_pred_elim                       true
% 0.14/0.44  % --qbf_split                           32
% 0.14/0.44  
% 0.14/0.44  % ------ BMC1 Options
% 0.14/0.44  
% 0.14/0.44  % --bmc1_incremental                    false
% 0.14/0.44  % --bmc1_axioms                         reachable_all
% 0.14/0.44  % --bmc1_min_bound                      0
% 0.14/0.44  % --bmc1_max_bound                      -1
% 0.14/0.44  % --bmc1_max_bound_default              -1
% 0.14/0.44  % --bmc1_symbol_reachability            true
% 0.14/0.44  % --bmc1_property_lemmas                false
% 0.14/0.44  % --bmc1_k_induction                    false
% 0.14/0.44  % --bmc1_non_equiv_states               false
% 0.14/0.44  % --bmc1_deadlock                       false
% 0.14/0.44  % --bmc1_ucm                            false
% 0.14/0.44  % --bmc1_add_unsat_core                 none
% 0.14/0.44  % --bmc1_unsat_core_children            false
% 0.14/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.14/0.44  % --bmc1_out_stat                       full
% 0.14/0.44  % --bmc1_ground_init                    false
% 0.14/0.44  % --bmc1_pre_inst_next_state            false
% 0.14/0.44  % --bmc1_pre_inst_state                 false
% 0.14/0.44  % --bmc1_pre_inst_reach_state           false
% 0.14/0.44  % --bmc1_out_unsat_core                 false
% 0.14/0.44  % --bmc1_aig_witness_out                false
% 0.14/0.44  % --bmc1_verbose                        false
% 0.14/0.44  % --bmc1_dump_clauses_tptp              false
% 0.14/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.14/0.44  % --bmc1_dump_file                      -
% 0.14/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.14/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.14/0.44  % --bmc1_ucm_extend_mode                1
% 0.14/0.44  % --bmc1_ucm_init_mode                  2
% 0.14/0.44  % --bmc1_ucm_cone_mode                  none
% 0.14/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.14/0.44  % --bmc1_ucm_relax_model                4
% 0.14/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.14/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.14/0.44  % --bmc1_ucm_layered_model              none
% 0.14/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.14/0.44  
% 0.14/0.44  % ------ AIG Options
% 0.14/0.44  
% 0.14/0.44  % --aig_mode                            false
% 0.14/0.44  
% 0.14/0.44  % ------ Instantiation Options
% 0.14/0.44  
% 0.14/0.44  % --instantiation_flag                  true
% 0.14/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.14/0.44  % --inst_solver_per_active              750
% 0.14/0.44  % --inst_solver_calls_frac              0.5
% 0.14/0.44  % --inst_passive_queue_type             priority_queues
% 0.14/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.14/0.44  % --inst_passive_queues_freq            [25;2]
% 0.14/0.44  % --inst_dismatching                    true
% 0.14/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.14/0.44  % --inst_prop_sim_given                 true
% 1.95/2.21  % --inst_prop_sim_new                   false
% 1.95/2.21  % --inst_orphan_elimination             true
% 1.95/2.21  % --inst_learning_loop_flag             true
% 1.95/2.21  % --inst_learning_start                 3000
% 1.95/2.21  % --inst_learning_factor                2
% 1.95/2.21  % --inst_start_prop_sim_after_learn     3
% 1.95/2.21  % --inst_sel_renew                      solver
% 1.95/2.21  % --inst_lit_activity_flag              true
% 1.95/2.21  % --inst_out_proof                      true
% 1.95/2.21  
% 1.95/2.21  % ------ Resolution Options
% 1.95/2.21  
% 1.95/2.21  % --resolution_flag                     true
% 1.95/2.21  % --res_lit_sel                         kbo_max
% 1.95/2.21  % --res_to_prop_solver                  none
% 1.95/2.21  % --res_prop_simpl_new                  false
% 1.95/2.21  % --res_prop_simpl_given                false
% 1.95/2.21  % --res_passive_queue_type              priority_queues
% 1.95/2.21  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.95/2.21  % --res_passive_queues_freq             [15;5]
% 1.95/2.21  % --res_forward_subs                    full
% 1.95/2.21  % --res_backward_subs                   full
% 1.95/2.21  % --res_forward_subs_resolution         true
% 1.95/2.21  % --res_backward_subs_resolution        true
% 1.95/2.21  % --res_orphan_elimination              false
% 1.95/2.21  % --res_time_limit                      1000.
% 1.95/2.21  % --res_out_proof                       true
% 1.95/2.21  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_37542d.s
% 1.95/2.21  % --modulo                              true
% 1.95/2.21  
% 1.95/2.21  % ------ Combination Options
% 1.95/2.21  
% 1.95/2.21  % --comb_res_mult                       1000
% 1.95/2.21  % --comb_inst_mult                      300
% 1.95/2.21  % ------ 
% 1.95/2.21  
% 1.95/2.21  
% 1.95/2.21  
% 1.95/2.21  % ------ Proving...
% 1.95/2.21  % 
% 1.95/2.21  
% 1.95/2.21  
% 1.95/2.21  %  Resolution empty clause
% 1.95/2.21  
% 1.95/2.21  % ------                             Statistics
% 1.95/2.21  
% 1.95/2.21  % ------ General
% 1.95/2.21  
% 1.95/2.21  % num_of_input_clauses:                 455
% 1.95/2.21  % num_of_input_neg_conjectures:         22
% 1.95/2.21  % num_of_splits:                        0
% 1.95/2.21  % num_of_split_atoms:                   0
% 1.95/2.21  % num_of_sem_filtered_clauses:          0
% 1.95/2.21  % num_of_subtypes:                      0
% 1.95/2.21  % monotx_restored_types:                0
% 1.95/2.21  % sat_num_of_epr_types:                 0
% 1.95/2.21  % sat_num_of_non_cyclic_types:          0
% 1.95/2.21  % sat_guarded_non_collapsed_types:      0
% 1.95/2.21  % is_epr:                               0
% 1.95/2.21  % is_horn:                              0
% 1.95/2.21  % has_eq:                               1
% 1.95/2.21  % num_pure_diseq_elim:                  0
% 1.95/2.21  % simp_replaced_by:                     0
% 1.95/2.21  % res_preprocessed:                     44
% 1.95/2.21  % prep_upred:                           0
% 1.95/2.21  % prep_unflattend:                      0
% 1.95/2.21  % pred_elim_cands:                      0
% 1.95/2.21  % pred_elim:                            0
% 1.95/2.21  % pred_elim_cl:                         0
% 1.95/2.21  % pred_elim_cycles:                     0
% 1.95/2.21  % forced_gc_time:                       0
% 1.95/2.21  % gc_basic_clause_elim:                 0
% 1.95/2.21  % parsing_time:                         0.034
% 1.95/2.21  % sem_filter_time:                      0.
% 1.95/2.21  % pred_elim_time:                       0.
% 1.95/2.21  % out_proof_time:                       0.004
% 1.95/2.21  % monotx_time:                          0.
% 1.95/2.21  % subtype_inf_time:                     0.
% 1.95/2.21  % unif_index_cands_time:                0.002
% 1.95/2.21  % unif_index_add_time:                  0.002
% 1.95/2.21  % total_time:                           1.851
% 1.95/2.21  % num_of_symbols:                       102
% 1.95/2.21  % num_of_terms:                         7114
% 1.95/2.21  
% 1.95/2.21  % ------ Propositional Solver
% 1.95/2.21  
% 1.95/2.21  % prop_solver_calls:                    2
% 1.95/2.21  % prop_fast_solver_calls:               66
% 1.95/2.21  % prop_num_of_clauses:                  361
% 1.95/2.21  % prop_preprocess_simplified:           2568
% 1.95/2.21  % prop_fo_subsumed:                     0
% 1.95/2.21  % prop_solver_time:                     0.
% 1.95/2.21  % prop_fast_solver_time:                0.
% 1.95/2.21  % prop_unsat_core_time:                 0.
% 1.95/2.21  
% 1.95/2.21  % ------ QBF 
% 1.95/2.21  
% 1.95/2.21  % qbf_q_res:                            0
% 1.95/2.21  % qbf_num_tautologies:                  0
% 1.95/2.21  % qbf_prep_cycles:                      0
% 1.95/2.21  
% 1.95/2.21  % ------ BMC1
% 1.95/2.21  
% 1.95/2.21  % bmc1_current_bound:                   -1
% 1.95/2.21  % bmc1_last_solved_bound:               -1
% 1.95/2.21  % bmc1_unsat_core_size:                 -1
% 1.95/2.21  % bmc1_unsat_core_parents_size:         -1
% 1.95/2.21  % bmc1_merge_next_fun:                  0
% 1.95/2.21  % bmc1_unsat_core_clauses_time:         0.
% 1.95/2.21  
% 1.95/2.21  % ------ Instantiation
% 1.95/2.21  
% 1.95/2.21  % inst_num_of_clauses:                  542
% 1.95/2.21  % inst_num_in_passive:                  148
% 1.95/2.21  % inst_num_in_active:                   299
% 1.95/2.21  % inst_num_in_unprocessed:              95
% 1.95/2.21  % inst_num_of_loops:                    300
% 1.95/2.21  % inst_num_of_learning_restarts:        0
% 1.95/2.21  % inst_num_moves_active_passive:        0
% 1.95/2.21  % inst_lit_activity:                    190
% 1.95/2.21  % inst_lit_activity_moves:              0
% 1.95/2.21  % inst_num_tautologies:                 0
% 1.95/2.21  % inst_num_prop_implied:                0
% 1.95/2.21  % inst_num_existing_simplified:         0
% 1.95/2.21  % inst_num_eq_res_simplified:           0
% 1.95/2.21  % inst_num_child_elim:                  0
% 1.95/2.21  % inst_num_of_dismatching_blockings:    0
% 1.95/2.21  % inst_num_of_non_proper_insts:         73
% 1.95/2.21  % inst_num_of_duplicates:               396
% 1.95/2.21  % inst_inst_num_from_inst_to_res:       0
% 1.95/2.21  % inst_dismatching_checking_time:       0.
% 1.95/2.21  
% 1.95/2.21  % ------ Resolution
% 1.95/2.21  
% 1.95/2.21  % res_num_of_clauses:                   3074
% 1.95/2.21  % res_num_in_passive:                   1851
% 1.95/2.21  % res_num_in_active:                    864
% 1.95/2.21  % res_num_of_loops:                     1271
% 1.95/2.21  % res_forward_subset_subsumed:          750
% 1.95/2.21  % res_backward_subset_subsumed:         86
% 1.95/2.21  % res_forward_subsumed:                 385
% 1.95/2.21  % res_backward_subsumed:                37
% 1.95/2.21  % res_forward_subsumption_resolution:   2739
% 1.95/2.21  % res_backward_subsumption_resolution:  0
% 1.95/2.21  % res_clause_to_clause_subsumption:     14052
% 1.95/2.21  % res_orphan_elimination:               0
% 1.95/2.21  % res_tautology_del:                    552
% 1.95/2.21  % res_num_eq_res_simplified:            0
% 1.95/2.21  % res_num_sel_changes:                  0
% 1.95/2.21  % res_moves_from_active_to_pass:        0
% 1.95/2.21  
% 1.95/2.21  % Status Unsatisfiable
% 1.95/2.21  % SZS status Theorem
% 1.95/2.21  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------