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

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GRP653+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 09:48:15 EDT 2022

% Result   : Theorem 150.35s 150.85s
% Output   : CNFRefutation 150.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   89
% Syntax   : Number of formulae    : 1093 ( 288 unt;   0 def)
%            Number of atoms       : 5723 (  97 equ)
%            Maximal formula atoms :   60 (   5 avg)
%            Number of connectives : 8081 (3451   ~;4145   |; 367   &)
%                                         (   6 <=>; 112  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   37 (  34 usr;   2 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;  22 con; 0-3 aty)
%            Number of variables   : 1967 ( 110 sgn 311   !;  40   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2,X3] :
      ( ( v1_funct_1(X2)
        & v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
        & v1_funct_1(X3)
        & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
     => ! [X4,X5,X6] :
          ( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
         => ( X1 = X4
            & X2 = X5
            & X3 = X6 ) ) ),
    file('<stdin>',free_g3_lattices) ).

fof(c_0_1,axiom,
    ! [X1,X2,X3] :
      ( ( v1_funct_1(X2)
        & v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
        & v1_funct_1(X3)
        & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
     => ( v3_lattices(g3_lattices(X1,X2,X3))
        & l3_lattices(g3_lattices(X1,X2,X3)) ) ),
    file('<stdin>',dt_g3_lattices) ).

fof(c_0_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v1_group_6(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( v2_funct_1(X3)
               => m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
    file('<stdin>',t36_latsubgr) ).

fof(c_0_3,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v1_group_6(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
    file('<stdin>',t37_latsubgr) ).

fof(c_0_4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v10_lattices(X2)
            & l3_lattices(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( m1_lattice4(X3,X1,X2)
              <=> ( m4_vectsp_8(X3,X1,X2)
                  & m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
    file('<stdin>',t11_vectsp_8) ).

fof(c_0_5,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1)
        & ~ v3_struct_0(X2)
        & v3_group_1(X2)
        & v4_group_1(X2)
        & l1_group_1(X2)
        & v1_funct_1(X3)
        & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
        & m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
     => ( v1_funct_1(k3_latsubgr(X1,X2,X3))
        & v1_funct_2(k3_latsubgr(X1,X2,X3),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(X2)))
        & m2_relset_1(k3_latsubgr(X1,X2,X3),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(X2))) ) ),
    file('<stdin>',dt_k3_latsubgr) ).

fof(c_0_6,axiom,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & ~ v1_xboole_0(X2) )
     => ! [X3] :
          ( m1_relset_1(X3,X1,X2)
         => ( ( v1_funct_1(X3)
              & v1_funct_2(X3,X1,X2) )
           => ( v1_funct_1(X3)
              & ~ v1_xboole_0(X3)
              & v1_partfun1(X3,X1,X2)
              & v1_funct_2(X3,X1,X2) ) ) ) ),
    file('<stdin>',cc6_funct_2) ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ( ~ v1_xboole_0(X2)
     => ! [X3] :
          ( m1_relset_1(X3,X1,X2)
         => ( ( v1_funct_1(X3)
              & v1_funct_2(X3,X1,X2) )
           => ( v1_funct_1(X3)
              & v1_partfun1(X3,X1,X2)
              & v1_funct_2(X3,X1,X2) ) ) ) ),
    file('<stdin>',cc5_funct_2) ).

fof(c_0_8,axiom,
    ! [X1,X2,X3] :
      ( m1_relset_1(X3,X1,X2)
     => ( ( v1_funct_1(X3)
          & v1_partfun1(X3,X1,X2) )
       => ( v1_funct_1(X3)
          & v1_funct_2(X3,X1,X2) ) ) ),
    file('<stdin>',cc1_funct_2) ).

fof(c_0_9,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ! [X3] :
          ( m4_vectsp_8(X3,X1,X2)
         => ( v1_funct_1(X3)
            & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
            & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
    file('<stdin>',dt_m4_vectsp_8) ).

fof(c_0_10,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ! [X3] :
          ( m3_vectsp_8(X3,X1,X2)
         => ( v1_funct_1(X3)
            & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
            & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
    file('<stdin>',dt_m3_vectsp_8) ).

fof(c_0_11,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ! [X3] :
          ( m1_lattice4(X3,X1,X2)
         => ( v1_funct_1(X3)
            & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
            & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
    file('<stdin>',dt_m1_lattice4) ).

fof(c_0_12,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
     => m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('<stdin>',dt_m2_relset_1) ).

fof(c_0_13,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    file('<stdin>',redefinition_m2_relset_1) ).

fof(c_0_14,axiom,
    ! [X1] :
      ( l2_lattices(X1)
     => ( v1_funct_1(u2_lattices(X1))
        & v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
        & m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
    file('<stdin>',dt_u2_lattices) ).

fof(c_0_15,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => ( v1_funct_1(u1_lattices(X1))
        & v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
        & m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
    file('<stdin>',dt_u1_lattices) ).

fof(c_0_16,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ? [X3] : m4_vectsp_8(X3,X1,X2) ),
    file('<stdin>',existence_m4_vectsp_8) ).

fof(c_0_17,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ? [X3] : m3_vectsp_8(X3,X1,X2) ),
    file('<stdin>',existence_m3_vectsp_8) ).

fof(c_0_18,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ? [X3] : m1_lattice4(X3,X1,X2) ),
    file('<stdin>',existence_m1_lattice4) ).

fof(c_0_19,axiom,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
     => v1_relat_1(X3) ),
    file('<stdin>',cc1_relset_1) ).

fof(c_0_20,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(X1)
       => X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
    file('<stdin>',abstractness_v3_lattices) ).

fof(c_0_21,axiom,
    ! [X1,X2] :
    ? [X3] :
      ( m1_relset_1(X3,X1,X2)
      & v1_relat_1(X3)
      & v1_funct_1(X3) ),
    file('<stdin>',rc2_partfun1) ).

fof(c_0_22,axiom,
    ! [X1,X2] :
    ? [X3] :
      ( m1_relset_1(X3,X1,X2)
      & v1_relat_1(X3)
      & v1_funct_1(X3)
      & v1_funct_2(X3,X1,X2) ),
    file('<stdin>',rc1_funct_2) ).

fof(c_0_23,axiom,
    ! [X1,X2] :
    ? [X3] : m2_relset_1(X3,X1,X2),
    file('<stdin>',existence_m2_relset_1) ).

fof(c_0_24,axiom,
    ! [X1,X2] :
    ? [X3] : m1_relset_1(X3,X1,X2),
    file('<stdin>',existence_m1_relset_1) ).

fof(c_0_25,axiom,
    ! [X1,X2,X3] :
      ( ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3)) )
     => m1_subset_1(X1,X3) ),
    file('<stdin>',t4_subset) ).

fof(c_0_26,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_27,axiom,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & ~ v1_xboole_0(X2) )
     => ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
    file('<stdin>',fc4_subset_1) ).

fof(c_0_28,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_29,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,k1_zfmisc_1(X2))
    <=> r1_tarski(X1,X2) ),
    file('<stdin>',t3_subset) ).

fof(c_0_30,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => ~ r2_hidden(X2,X1) ),
    file('<stdin>',antisymmetry_r2_hidden) ).

fof(c_0_31,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( ~ v3_struct_0(k11_group_4(X1))
        & v3_lattices(k11_group_4(X1))
        & v4_lattices(k11_group_4(X1))
        & v5_lattices(k11_group_4(X1))
        & v6_lattices(k11_group_4(X1))
        & v7_lattices(k11_group_4(X1))
        & v8_lattices(k11_group_4(X1))
        & v9_lattices(k11_group_4(X1))
        & v10_lattices(k11_group_4(X1))
        & v13_lattices(k11_group_4(X1))
        & v14_lattices(k11_group_4(X1))
        & v15_lattices(k11_group_4(X1)) ) ),
    file('<stdin>',fc1_group_4) ).

fof(c_0_32,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( ~ v3_struct_0(k11_group_4(X1))
        & v3_lattices(k11_group_4(X1))
        & v10_lattices(k11_group_4(X1))
        & l3_lattices(k11_group_4(X1)) ) ),
    file('<stdin>',dt_k11_group_4) ).

fof(c_0_33,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,X2)
     => ( v1_xboole_0(X2)
        | r2_hidden(X1,X2) ) ),
    file('<stdin>',t2_subset) ).

fof(c_0_34,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => m1_subset_1(X1,X2) ),
    file('<stdin>',t1_subset) ).

fof(c_0_35,axiom,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
          & ~ v1_xboole_0(X2) ) ),
    file('<stdin>',rc1_subset_1) ).

fof(c_0_36,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    file('<stdin>',t7_boole) ).

fof(c_0_37,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('<stdin>',fc1_struct_0) ).

fof(c_0_38,axiom,
    ! [X1] :
    ? [X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
      & v1_xboole_0(X2) ),
    file('<stdin>',rc2_subset_1) ).

fof(c_0_39,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    file('<stdin>',existence_m1_subset_1) ).

fof(c_0_40,axiom,
    ! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
    file('<stdin>',fc1_subset_1) ).

fof(c_0_41,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    file('<stdin>',t8_boole) ).

fof(c_0_42,axiom,
    ! [X1,X2] : r1_tarski(X1,X1),
    file('<stdin>',reflexivity_r1_tarski) ).

fof(c_0_43,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( l1_lattices(X1)
        & l2_lattices(X1) ) ),
    file('<stdin>',dt_l3_lattices) ).

fof(c_0_44,axiom,
    ! [X1] :
      ( l2_lattices(X1)
     => l1_struct_0(X1) ),
    file('<stdin>',dt_l2_lattices) ).

fof(c_0_45,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => l1_struct_0(X1) ),
    file('<stdin>',dt_l1_lattices) ).

fof(c_0_46,axiom,
    ! [X1] :
      ( l1_group_1(X1)
     => l1_struct_0(X1) ),
    file('<stdin>',dt_l1_group_1) ).

fof(c_0_47,axiom,
    ! [X1] :
      ( v1_xboole_0(X1)
     => X1 = k1_xboole_0 ),
    file('<stdin>',t6_boole) ).

fof(c_0_48,axiom,
    ? [X1] :
      ( l1_struct_0(X1)
      & ~ v3_struct_0(X1) ),
    file('<stdin>',rc3_struct_0) ).

fof(c_0_49,axiom,
    ? [X1] : ~ v1_xboole_0(X1),
    file('<stdin>',rc2_xboole_0) ).

fof(c_0_50,axiom,
    ? [X1] : v1_xboole_0(X1),
    file('<stdin>',rc1_xboole_0) ).

fof(c_0_51,axiom,
    ? [X1] :
      ( v1_relat_1(X1)
      & v1_funct_1(X1)
      & v2_funct_1(X1)
      & v1_xboole_0(X1) ),
    file('<stdin>',rc1_partfun1) ).

fof(c_0_52,axiom,
    v1_xboole_0(k1_xboole_0),
    file('<stdin>',fc1_xboole_0) ).

fof(c_0_53,axiom,
    ? [X1] : l3_lattices(X1),
    file('<stdin>',existence_l3_lattices) ).

fof(c_0_54,axiom,
    ? [X1] : l2_lattices(X1),
    file('<stdin>',existence_l2_lattices) ).

fof(c_0_55,axiom,
    ? [X1] : l1_struct_0(X1),
    file('<stdin>',existence_l1_struct_0) ).

fof(c_0_56,axiom,
    ? [X1] : l1_lattices(X1),
    file('<stdin>',existence_l1_lattices) ).

fof(c_0_57,axiom,
    ? [X1] : l1_group_1(X1),
    file('<stdin>',existence_l1_group_1) ).

fof(c_0_58,axiom,
    $true,
    file('<stdin>',dt_u1_struct_0) ).

fof(c_0_59,axiom,
    $true,
    file('<stdin>',dt_m1_subset_1) ).

fof(c_0_60,axiom,
    $true,
    file('<stdin>',dt_m1_relset_1) ).

fof(c_0_61,axiom,
    $true,
    file('<stdin>',dt_l1_struct_0) ).

fof(c_0_62,axiom,
    $true,
    file('<stdin>',dt_k2_zfmisc_1) ).

fof(c_0_63,axiom,
    $true,
    file('<stdin>',dt_k1_zfmisc_1) ).

fof(c_0_64,axiom,
    $true,
    file('<stdin>',dt_k1_xboole_0) ).

fof(c_0_65,axiom,
    ! [X1,X2,X3] :
      ( ( v1_funct_1(X2)
        & v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
        & v1_funct_1(X3)
        & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
     => ! [X4,X5,X6] :
          ( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
         => ( X1 = X4
            & X2 = X5
            & X3 = X6 ) ) ),
    c_0_0 ).

fof(c_0_66,axiom,
    ! [X1,X2,X3] :
      ( ( v1_funct_1(X2)
        & v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
        & v1_funct_1(X3)
        & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
     => ( v3_lattices(g3_lattices(X1,X2,X3))
        & l3_lattices(g3_lattices(X1,X2,X3)) ) ),
    c_0_1 ).

fof(c_0_67,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v1_group_6(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( v2_funct_1(X3)
               => m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_68,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v1_group_6(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_69,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v10_lattices(X2)
            & l3_lattices(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( m1_lattice4(X3,X1,X2)
              <=> ( m4_vectsp_8(X3,X1,X2)
                  & m3_vectsp_8(X3,X1,X2) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_70,plain,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1)
        & ~ v3_struct_0(X2)
        & v3_group_1(X2)
        & v4_group_1(X2)
        & l1_group_1(X2)
        & v1_funct_1(X3)
        & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
        & m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
     => ( v1_funct_1(k3_latsubgr(X1,X2,X3))
        & v1_funct_2(k3_latsubgr(X1,X2,X3),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(X2)))
        & m2_relset_1(k3_latsubgr(X1,X2,X3),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(X2))) ) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_71,plain,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & ~ v1_xboole_0(X2) )
     => ! [X3] :
          ( m1_relset_1(X3,X1,X2)
         => ( ( v1_funct_1(X3)
              & v1_funct_2(X3,X1,X2) )
           => ( v1_funct_1(X3)
              & ~ v1_xboole_0(X3)
              & v1_partfun1(X3,X1,X2)
              & v1_funct_2(X3,X1,X2) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_72,plain,
    ! [X1,X2] :
      ( ~ v1_xboole_0(X2)
     => ! [X3] :
          ( m1_relset_1(X3,X1,X2)
         => ( ( v1_funct_1(X3)
              & v1_funct_2(X3,X1,X2) )
           => ( v1_funct_1(X3)
              & v1_partfun1(X3,X1,X2)
              & v1_funct_2(X3,X1,X2) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_73,axiom,
    ! [X1,X2,X3] :
      ( m1_relset_1(X3,X1,X2)
     => ( ( v1_funct_1(X3)
          & v1_partfun1(X3,X1,X2) )
       => ( v1_funct_1(X3)
          & v1_funct_2(X3,X1,X2) ) ) ),
    c_0_8 ).

fof(c_0_74,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ! [X3] :
          ( m4_vectsp_8(X3,X1,X2)
         => ( v1_funct_1(X3)
            & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
            & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_75,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ! [X3] :
          ( m3_vectsp_8(X3,X1,X2)
         => ( v1_funct_1(X3)
            & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
            & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_76,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ! [X3] :
          ( m1_lattice4(X3,X1,X2)
         => ( v1_funct_1(X3)
            & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
            & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_77,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
     => m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    c_0_12 ).

fof(c_0_78,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    c_0_13 ).

fof(c_0_79,axiom,
    ! [X1] :
      ( l2_lattices(X1)
     => ( v1_funct_1(u2_lattices(X1))
        & v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
        & m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
    c_0_14 ).

fof(c_0_80,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => ( v1_funct_1(u1_lattices(X1))
        & v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
        & m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
    c_0_15 ).

fof(c_0_81,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ? [X3] : m4_vectsp_8(X3,X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_82,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ? [X3] : m3_vectsp_8(X3,X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_83,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v3_struct_0(X2)
        & v10_lattices(X2)
        & l3_lattices(X2) )
     => ? [X3] : m1_lattice4(X3,X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_84,axiom,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
     => v1_relat_1(X3) ),
    c_0_19 ).

fof(c_0_85,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(X1)
       => X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
    c_0_20 ).

fof(c_0_86,axiom,
    ! [X1,X2] :
    ? [X3] :
      ( m1_relset_1(X3,X1,X2)
      & v1_relat_1(X3)
      & v1_funct_1(X3) ),
    c_0_21 ).

fof(c_0_87,axiom,
    ! [X1,X2] :
    ? [X3] :
      ( m1_relset_1(X3,X1,X2)
      & v1_relat_1(X3)
      & v1_funct_1(X3)
      & v1_funct_2(X3,X1,X2) ),
    c_0_22 ).

fof(c_0_88,axiom,
    ! [X1,X2] :
    ? [X3] : m2_relset_1(X3,X1,X2),
    c_0_23 ).

fof(c_0_89,axiom,
    ! [X1,X2] :
    ? [X3] : m1_relset_1(X3,X1,X2),
    c_0_24 ).

fof(c_0_90,axiom,
    ! [X1,X2,X3] :
      ( ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3)) )
     => m1_subset_1(X1,X3) ),
    c_0_25 ).

fof(c_0_91,axiom,
    ! [X1,X2,X3] :
      ~ ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3))
        & v1_xboole_0(X3) ),
    c_0_26 ).

fof(c_0_92,plain,
    ! [X1,X2] :
      ( ( ~ v1_xboole_0(X1)
        & ~ v1_xboole_0(X2) )
     => ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_93,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_28]) ).

fof(c_0_94,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,k1_zfmisc_1(X2))
    <=> r1_tarski(X1,X2) ),
    c_0_29 ).

fof(c_0_95,plain,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => ~ r2_hidden(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_96,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( ~ v3_struct_0(k11_group_4(X1))
        & v3_lattices(k11_group_4(X1))
        & v4_lattices(k11_group_4(X1))
        & v5_lattices(k11_group_4(X1))
        & v6_lattices(k11_group_4(X1))
        & v7_lattices(k11_group_4(X1))
        & v8_lattices(k11_group_4(X1))
        & v9_lattices(k11_group_4(X1))
        & v10_lattices(k11_group_4(X1))
        & v13_lattices(k11_group_4(X1))
        & v14_lattices(k11_group_4(X1))
        & v15_lattices(k11_group_4(X1)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_97,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ( ~ v3_struct_0(k11_group_4(X1))
        & v3_lattices(k11_group_4(X1))
        & v10_lattices(k11_group_4(X1))
        & l3_lattices(k11_group_4(X1)) ) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_98,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,X2)
     => ( v1_xboole_0(X2)
        | r2_hidden(X1,X2) ) ),
    c_0_33 ).

fof(c_0_99,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => m1_subset_1(X1,X2) ),
    c_0_34 ).

fof(c_0_100,plain,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
          & ~ v1_xboole_0(X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_101,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    c_0_36 ).

fof(c_0_102,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_103,axiom,
    ! [X1] :
    ? [X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(X1))
      & v1_xboole_0(X2) ),
    c_0_38 ).

fof(c_0_104,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    c_0_39 ).

fof(c_0_105,plain,
    ! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_106,axiom,
    ! [X1,X2] :
      ~ ( v1_xboole_0(X1)
        & X1 != X2
        & v1_xboole_0(X2) ),
    c_0_41 ).

fof(c_0_107,axiom,
    ! [X1,X2] : r1_tarski(X1,X1),
    c_0_42 ).

fof(c_0_108,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( l1_lattices(X1)
        & l2_lattices(X1) ) ),
    c_0_43 ).

fof(c_0_109,axiom,
    ! [X1] :
      ( l2_lattices(X1)
     => l1_struct_0(X1) ),
    c_0_44 ).

fof(c_0_110,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => l1_struct_0(X1) ),
    c_0_45 ).

fof(c_0_111,axiom,
    ! [X1] :
      ( l1_group_1(X1)
     => l1_struct_0(X1) ),
    c_0_46 ).

fof(c_0_112,axiom,
    ! [X1] :
      ( v1_xboole_0(X1)
     => X1 = k1_xboole_0 ),
    c_0_47 ).

fof(c_0_113,plain,
    ? [X1] :
      ( l1_struct_0(X1)
      & ~ v3_struct_0(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_114,plain,
    ? [X1] : ~ v1_xboole_0(X1),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_115,axiom,
    ? [X1] : v1_xboole_0(X1),
    c_0_50 ).

fof(c_0_116,axiom,
    ? [X1] :
      ( v1_relat_1(X1)
      & v1_funct_1(X1)
      & v2_funct_1(X1)
      & v1_xboole_0(X1) ),
    c_0_51 ).

fof(c_0_117,axiom,
    v1_xboole_0(k1_xboole_0),
    c_0_52 ).

fof(c_0_118,axiom,
    ? [X1] : l3_lattices(X1),
    c_0_53 ).

fof(c_0_119,axiom,
    ? [X1] : l2_lattices(X1),
    c_0_54 ).

fof(c_0_120,axiom,
    ? [X1] : l1_struct_0(X1),
    c_0_55 ).

fof(c_0_121,axiom,
    ? [X1] : l1_lattices(X1),
    c_0_56 ).

fof(c_0_122,axiom,
    ? [X1] : l1_group_1(X1),
    c_0_57 ).

fof(c_0_123,axiom,
    $true,
    c_0_58 ).

fof(c_0_124,axiom,
    $true,
    c_0_59 ).

fof(c_0_125,axiom,
    $true,
    c_0_60 ).

fof(c_0_126,axiom,
    $true,
    c_0_61 ).

fof(c_0_127,axiom,
    $true,
    c_0_62 ).

fof(c_0_128,axiom,
    $true,
    c_0_63 ).

fof(c_0_129,axiom,
    $true,
    c_0_64 ).

fof(c_0_130,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( X7 = X10
        | g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ v1_funct_1(X9)
        | ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
      & ( X8 = X11
        | g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ v1_funct_1(X9)
        | ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
      & ( X9 = X12
        | g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
        | ~ v1_funct_1(X8)
        | ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
        | ~ v1_funct_1(X9)
        | ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
        | ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).

fof(c_0_131,plain,
    ! [X4,X5,X6] :
      ( ( v3_lattices(g3_lattices(X4,X5,X6))
        | ~ v1_funct_1(X5)
        | ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) )
      & ( l3_lattices(g3_lattices(X4,X5,X6))
        | ~ v1_funct_1(X5)
        | ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).

fof(c_0_132,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4)
      | v3_struct_0(X5)
      | ~ v3_group_1(X5)
      | ~ v4_group_1(X5)
      | ~ l1_group_1(X5)
      | ~ v1_funct_1(X6)
      | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
      | ~ v1_group_6(X6,X4,X5)
      | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
      | ~ v2_funct_1(X6)
      | m3_vectsp_8(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(X5)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).

fof(c_0_133,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ v3_group_1(X4)
      | ~ v4_group_1(X4)
      | ~ l1_group_1(X4)
      | v3_struct_0(X5)
      | ~ v3_group_1(X5)
      | ~ v4_group_1(X5)
      | ~ l1_group_1(X5)
      | ~ v1_funct_1(X6)
      | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
      | ~ v1_group_6(X6,X4,X5)
      | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
      | m4_vectsp_8(k3_latsubgr(X4,X5,X6),k11_group_4(X4),k11_group_4(X5)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).

fof(c_0_134,plain,
    ! [X4,X5,X6] :
      ( ( m4_vectsp_8(X6,X4,X5)
        | ~ m1_lattice4(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) )
      & ( m3_vectsp_8(X6,X4,X5)
        | ~ m1_lattice4(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) )
      & ( ~ m4_vectsp_8(X6,X4,X5)
        | ~ m3_vectsp_8(X6,X4,X5)
        | m1_lattice4(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])]) ).

fof(c_0_135,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(k3_latsubgr(X4,X5,X6))
        | v3_struct_0(X4)
        | ~ v3_group_1(X4)
        | ~ v4_group_1(X4)
        | ~ l1_group_1(X4)
        | v3_struct_0(X5)
        | ~ v3_group_1(X5)
        | ~ v4_group_1(X5)
        | ~ l1_group_1(X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
      & ( v1_funct_2(k3_latsubgr(X4,X5,X6),u1_struct_0(k11_group_4(X4)),u1_struct_0(k11_group_4(X5)))
        | v3_struct_0(X4)
        | ~ v3_group_1(X4)
        | ~ v4_group_1(X4)
        | ~ l1_group_1(X4)
        | v3_struct_0(X5)
        | ~ v3_group_1(X5)
        | ~ v4_group_1(X5)
        | ~ l1_group_1(X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) )
      & ( m2_relset_1(k3_latsubgr(X4,X5,X6),u1_struct_0(k11_group_4(X4)),u1_struct_0(k11_group_4(X5)))
        | v3_struct_0(X4)
        | ~ v3_group_1(X4)
        | ~ v4_group_1(X4)
        | ~ l1_group_1(X4)
        | v3_struct_0(X5)
        | ~ v3_group_1(X5)
        | ~ v4_group_1(X5)
        | ~ l1_group_1(X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m1_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])]) ).

fof(c_0_136,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(X6)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5)
        | v1_xboole_0(X4)
        | v1_xboole_0(X5) )
      & ( ~ v1_xboole_0(X6)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5)
        | v1_xboole_0(X4)
        | v1_xboole_0(X5) )
      & ( v1_partfun1(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5)
        | v1_xboole_0(X4)
        | v1_xboole_0(X5) )
      & ( v1_funct_2(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5)
        | v1_xboole_0(X4)
        | v1_xboole_0(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])]) ).

fof(c_0_137,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(X6)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5)
        | v1_xboole_0(X5) )
      & ( v1_partfun1(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5)
        | v1_xboole_0(X5) )
      & ( v1_funct_2(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5)
        | v1_xboole_0(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])]) ).

fof(c_0_138,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(X6)
        | ~ v1_funct_1(X6)
        | ~ v1_partfun1(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5) )
      & ( v1_funct_2(X6,X4,X5)
        | ~ v1_funct_1(X6)
        | ~ v1_partfun1(X6,X4,X5)
        | ~ m1_relset_1(X6,X4,X5) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])]) ).

fof(c_0_139,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(X6)
        | ~ m4_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m4_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m4_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])]) ).

fof(c_0_140,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(X6)
        | ~ m3_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m3_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m3_vectsp_8(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])])]) ).

fof(c_0_141,plain,
    ! [X4,X5,X6] :
      ( ( v1_funct_1(X6)
        | ~ m1_lattice4(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m1_lattice4(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
        | ~ m1_lattice4(X6,X4,X5)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])])]) ).

fof(c_0_142,plain,
    ! [X4,X5,X6] :
      ( ~ m2_relset_1(X6,X4,X5)
      | m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).

fof(c_0_143,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ m2_relset_1(X6,X4,X5)
        | m1_relset_1(X6,X4,X5) )
      & ( ~ m1_relset_1(X9,X7,X8)
        | m2_relset_1(X9,X7,X8) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])]) ).

fof(c_0_144,plain,
    ! [X2] :
      ( ( v1_funct_1(u2_lattices(X2))
        | ~ l2_lattices(X2) )
      & ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
        | ~ l2_lattices(X2) )
      & ( m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
        | ~ l2_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])]) ).

fof(c_0_145,plain,
    ! [X2] :
      ( ( v1_funct_1(u1_lattices(X2))
        | ~ l1_lattices(X2) )
      & ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
        | ~ l1_lattices(X2) )
      & ( m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
        | ~ l1_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])]) ).

fof(c_0_146,plain,
    ! [X4,X5] :
      ( v3_struct_0(X4)
      | ~ v10_lattices(X4)
      | ~ l3_lattices(X4)
      | v3_struct_0(X5)
      | ~ v10_lattices(X5)
      | ~ l3_lattices(X5)
      | m4_vectsp_8(esk11_2(X4,X5),X4,X5) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).

fof(c_0_147,plain,
    ! [X4,X5] :
      ( v3_struct_0(X4)
      | ~ v10_lattices(X4)
      | ~ l3_lattices(X4)
      | v3_struct_0(X5)
      | ~ v10_lattices(X5)
      | ~ l3_lattices(X5)
      | m3_vectsp_8(esk10_2(X4,X5),X4,X5) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])]) ).

fof(c_0_148,plain,
    ! [X4,X5] :
      ( v3_struct_0(X4)
      | ~ v10_lattices(X4)
      | ~ l3_lattices(X4)
      | v3_struct_0(X5)
      | ~ v10_lattices(X5)
      | ~ l3_lattices(X5)
      | m1_lattice4(esk6_2(X4,X5),X4,X5) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])]) ).

fof(c_0_149,plain,
    ! [X4,X5,X6] :
      ( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
      | v1_relat_1(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])]) ).

fof(c_0_150,plain,
    ! [X2] :
      ( ~ l3_lattices(X2)
      | ~ v3_lattices(X2)
      | X2 = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).

fof(c_0_151,plain,
    ! [X4,X5] :
      ( m1_relset_1(esk16_2(X4,X5),X4,X5)
      & v1_relat_1(esk16_2(X4,X5))
      & v1_funct_1(esk16_2(X4,X5)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_86])]) ).

fof(c_0_152,plain,
    ! [X4,X5] :
      ( m1_relset_1(esk12_2(X4,X5),X4,X5)
      & v1_relat_1(esk12_2(X4,X5))
      & v1_funct_1(esk12_2(X4,X5))
      & v1_funct_2(esk12_2(X4,X5),X4,X5) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_87])]) ).

fof(c_0_153,plain,
    ! [X4,X5] : m2_relset_1(esk9_2(X4,X5),X4,X5),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_88])]) ).

fof(c_0_154,plain,
    ! [X4,X5] : m1_relset_1(esk7_2(X4,X5),X4,X5),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_89])]) ).

fof(c_0_155,plain,
    ! [X4,X5,X6] :
      ( ~ r2_hidden(X4,X5)
      | ~ m1_subset_1(X5,k1_zfmisc_1(X6))
      | m1_subset_1(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])]) ).

fof(c_0_156,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_91])])])]) ).

fof(c_0_157,plain,
    ! [X3,X4] :
      ( v1_xboole_0(X3)
      | v1_xboole_0(X4)
      | ~ v1_xboole_0(k2_zfmisc_1(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])]) ).

fof(c_0_158,plain,
    ! [X3] :
      ( ( m1_subset_1(esk20_1(X3),k1_zfmisc_1(u1_struct_0(X3)))
        | v3_struct_0(X3)
        | ~ l1_struct_0(X3) )
      & ( ~ v1_xboole_0(esk20_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_93])])])]) ).

fof(c_0_159,plain,
    ! [X3,X4,X5,X6] :
      ( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
        | r1_tarski(X3,X4) )
      & ( ~ r1_tarski(X5,X6)
        | m1_subset_1(X5,k1_zfmisc_1(X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])])])]) ).

fof(c_0_160,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | ~ r2_hidden(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])]) ).

fof(c_0_161,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v3_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v4_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v5_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v6_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v7_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v8_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v9_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v10_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v13_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v14_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v15_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])]) ).

fof(c_0_162,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v3_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( v10_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) )
      & ( l3_lattices(k11_group_4(X2))
        | v3_struct_0(X2)
        | ~ v3_group_1(X2)
        | ~ v4_group_1(X2)
        | ~ l1_group_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])]) ).

fof(c_0_163,plain,
    ! [X3,X4] :
      ( ~ m1_subset_1(X3,X4)
      | v1_xboole_0(X4)
      | r2_hidden(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])]) ).

fof(c_0_164,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | m1_subset_1(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])]) ).

fof(c_0_165,plain,
    ! [X3] :
      ( ( m1_subset_1(esk14_1(X3),k1_zfmisc_1(X3))
        | v1_xboole_0(X3) )
      & ( ~ v1_xboole_0(esk14_1(X3))
        | v1_xboole_0(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])])]) ).

fof(c_0_166,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | ~ v1_xboole_0(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])]) ).

fof(c_0_167,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ l1_struct_0(X2)
      | ~ v1_xboole_0(u1_struct_0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])]) ).

fof(c_0_168,plain,
    ! [X3] :
      ( m1_subset_1(esk17_1(X3),k1_zfmisc_1(X3))
      & v1_xboole_0(esk17_1(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_103])]) ).

fof(c_0_169,plain,
    ! [X3] : m1_subset_1(esk8_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_104])]) ).

fof(c_0_170,plain,
    ! [X2] : ~ v1_xboole_0(k1_zfmisc_1(X2)),
    inference(variable_rename,[status(thm)],[c_0_105]) ).

fof(c_0_171,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_106])])])]) ).

fof(c_0_172,plain,
    ! [X3,X4] : r1_tarski(X3,X3),
    inference(variable_rename,[status(thm)],[c_0_107]) ).

fof(c_0_173,plain,
    ! [X2] :
      ( ( l1_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( l2_lattices(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])]) ).

fof(c_0_174,plain,
    ! [X2] :
      ( ~ l2_lattices(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])]) ).

fof(c_0_175,plain,
    ! [X2] :
      ( ~ l1_lattices(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_110])]) ).

fof(c_0_176,plain,
    ! [X2] :
      ( ~ l1_group_1(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])]) ).

fof(c_0_177,plain,
    ! [X2] :
      ( ~ v1_xboole_0(X2)
      | X2 = k1_xboole_0 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])]) ).

fof(c_0_178,plain,
    ( l1_struct_0(esk19_0)
    & ~ v3_struct_0(esk19_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_113])]) ).

fof(c_0_179,plain,
    ~ v1_xboole_0(esk18_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_114])]) ).

fof(c_0_180,plain,
    v1_xboole_0(esk15_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_115])]) ).

fof(c_0_181,plain,
    ( v1_relat_1(esk13_0)
    & v1_funct_1(esk13_0)
    & v2_funct_1(esk13_0)
    & v1_xboole_0(esk13_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_116])]) ).

fof(c_0_182,axiom,
    v1_xboole_0(k1_xboole_0),
    c_0_117 ).

fof(c_0_183,plain,
    l3_lattices(esk5_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_118])]) ).

fof(c_0_184,plain,
    l2_lattices(esk4_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_119])]) ).

fof(c_0_185,plain,
    l1_struct_0(esk3_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_120])]) ).

fof(c_0_186,plain,
    l1_lattices(esk2_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_121])]) ).

fof(c_0_187,plain,
    l1_group_1(esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_122])]) ).

fof(c_0_188,axiom,
    $true,
    c_0_123 ).

fof(c_0_189,axiom,
    $true,
    c_0_124 ).

fof(c_0_190,axiom,
    $true,
    c_0_125 ).

fof(c_0_191,axiom,
    $true,
    c_0_126 ).

fof(c_0_192,axiom,
    $true,
    c_0_127 ).

fof(c_0_193,axiom,
    $true,
    c_0_128 ).

fof(c_0_194,axiom,
    $true,
    c_0_129 ).

cnf(c_0_195,plain,
    ( X2 = X4
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_196,plain,
    ( X3 = X5
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_197,plain,
    ( X1 = X6
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_198,plain,
    ( v3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_199,plain,
    ( l3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_200,plain,
    ( m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v2_funct_1(X3)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_201,plain,
    ( m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_202,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_203,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_204,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_205,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_206,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_207,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_208,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_partfun1(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_209,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_210,plain,
    ( v1_xboole_0(X1)
    | v1_partfun1(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_211,plain,
    ( v1_xboole_0(X1)
    | v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_212,plain,
    ( v1_funct_2(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_213,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3)
    | ~ v1_xboole_0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_214,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_funct_1(X3)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_215,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_216,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_217,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_218,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_219,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_220,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_221,plain,
    ( v1_xboole_0(X1)
    | v1_funct_1(X2)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_222,plain,
    ( v1_funct_1(X1)
    | ~ m1_relset_1(X1,X2,X3)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_223,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_224,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_225,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_226,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_227,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_228,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_229,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_230,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_231,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_232,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_233,plain,
    ( m4_vectsp_8(esk11_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_234,plain,
    ( m3_vectsp_8(esk10_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_235,plain,
    ( m1_lattice4(esk6_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_236,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_237,plain,
    ( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
    | ~ v3_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_238,plain,
    m1_relset_1(esk16_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_239,plain,
    m1_relset_1(esk12_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_240,plain,
    v1_funct_2(esk12_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_241,plain,
    m2_relset_1(esk9_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_242,plain,
    m1_relset_1(esk7_2(X1,X2),X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_243,plain,
    ( m1_subset_1(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | ~ r2_hidden(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_244,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_245,plain,
    ( v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_246,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk20_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_247,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_248,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ r2_hidden(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_249,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_250,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_251,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_252,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_253,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_254,plain,
    ( v3_struct_0(X1)
    | v3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_255,plain,
    ( v3_struct_0(X1)
    | v4_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_256,plain,
    ( v3_struct_0(X1)
    | v5_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_257,plain,
    ( v3_struct_0(X1)
    | v6_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_258,plain,
    ( v3_struct_0(X1)
    | v7_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_259,plain,
    ( v3_struct_0(X1)
    | v8_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_260,plain,
    ( v3_struct_0(X1)
    | v9_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_261,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_262,plain,
    ( v3_struct_0(X1)
    | v13_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_263,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_264,plain,
    ( v3_struct_0(X1)
    | v15_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_265,plain,
    ( v3_struct_0(X1)
    | v3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_266,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_267,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_268,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_269,plain,
    v1_relat_1(esk16_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_270,plain,
    v1_funct_1(esk16_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_271,plain,
    v1_relat_1(esk12_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_272,plain,
    v1_funct_1(esk12_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_273,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_274,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(esk20_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_275,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_276,plain,
    m1_subset_1(esk17_1(X1),k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_277,plain,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(esk14_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_278,plain,
    m1_subset_1(esk8_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_279,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_280,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_281,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_282,plain,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_283,plain,
    r1_tarski(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_284,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_285,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_286,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_174]) ).

cnf(c_0_287,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_288,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_289,plain,
    v1_xboole_0(esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_290,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_291,plain,
    ~ v3_struct_0(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_292,plain,
    ~ v1_xboole_0(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_179]) ).

cnf(c_0_293,plain,
    l1_struct_0(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_294,plain,
    v1_xboole_0(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_180]) ).

cnf(c_0_295,plain,
    v1_relat_1(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_296,plain,
    v1_funct_1(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_297,plain,
    v2_funct_1(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_298,plain,
    v1_xboole_0(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_299,plain,
    v1_xboole_0(k1_xboole_0),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_300,plain,
    l3_lattices(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_183]) ).

cnf(c_0_301,plain,
    l2_lattices(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_184]) ).

cnf(c_0_302,plain,
    l1_struct_0(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_185]) ).

cnf(c_0_303,plain,
    l1_lattices(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_186]) ).

cnf(c_0_304,plain,
    l1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_187]) ).

cnf(c_0_305,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_306,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_189]) ).

cnf(c_0_307,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_190]) ).

cnf(c_0_308,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_191]) ).

cnf(c_0_309,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_192]) ).

cnf(c_0_310,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_311,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_194]) ).

cnf(c_0_312,plain,
    ( X2 = X4
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    c_0_195,
    [final] ).

cnf(c_0_313,plain,
    ( X3 = X5
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    c_0_196,
    [final] ).

cnf(c_0_314,plain,
    ( X1 = X6
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    c_0_197,
    [final] ).

cnf(c_0_315,plain,
    ( v3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    c_0_198,
    [final] ).

cnf(c_0_316,plain,
    ( l3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    c_0_199,
    [final] ).

cnf(c_0_317,plain,
    ( m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v2_funct_1(X3)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_200,
    [final] ).

cnf(c_0_318,plain,
    ( m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_201,
    [final] ).

cnf(c_0_319,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    c_0_202,
    [final] ).

cnf(c_0_320,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    c_0_203,
    [final] ).

cnf(c_0_321,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    c_0_204,
    [final] ).

cnf(c_0_322,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    c_0_205,
    [final] ).

cnf(c_0_323,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    c_0_206,
    [final] ).

cnf(c_0_324,plain,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    c_0_207,
    [final] ).

cnf(c_0_325,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_partfun1(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    c_0_208,
    [final] ).

cnf(c_0_326,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    c_0_209,
    [final] ).

cnf(c_0_327,plain,
    ( v1_xboole_0(X1)
    | v1_partfun1(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    c_0_210,
    [final] ).

cnf(c_0_328,plain,
    ( v1_xboole_0(X1)
    | v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    c_0_211,
    [final] ).

cnf(c_0_329,plain,
    ( v1_funct_2(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    c_0_212,
    [final] ).

cnf(c_0_330,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3)
    | ~ v1_xboole_0(X3) ),
    c_0_213,
    [final] ).

cnf(c_0_331,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_funct_1(X3)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    c_0_214,
    [final] ).

cnf(c_0_332,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    c_0_215,
    [final] ).

cnf(c_0_333,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    c_0_216,
    [final] ).

cnf(c_0_334,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    c_0_217,
    [final] ).

cnf(c_0_335,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    c_0_218,
    [final] ).

cnf(c_0_336,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    c_0_219,
    [final] ).

cnf(c_0_337,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    c_0_220,
    [final] ).

cnf(c_0_338,plain,
    ( v1_xboole_0(X1)
    | v1_funct_1(X2)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    c_0_221,
    [final] ).

cnf(c_0_339,plain,
    ( v1_funct_1(X1)
    | ~ m1_relset_1(X1,X2,X3)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    c_0_222,
    [final] ).

cnf(c_0_340,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    c_0_223,
    [final] ).

cnf(c_0_341,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    c_0_224,
    [final] ).

cnf(c_0_342,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    c_0_225,
    [final] ).

cnf(c_0_343,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    c_0_226,
    [final] ).

cnf(c_0_344,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    c_0_227,
    [final] ).

cnf(c_0_345,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    c_0_228,
    [final] ).

cnf(c_0_346,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    c_0_229,
    [final] ).

cnf(c_0_347,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    c_0_230,
    [final] ).

cnf(c_0_348,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    c_0_231,
    [final] ).

cnf(c_0_349,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    c_0_232,
    [final] ).

cnf(c_0_350,plain,
    ( m4_vectsp_8(esk11_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    c_0_233,
    [final] ).

cnf(c_0_351,plain,
    ( m3_vectsp_8(esk10_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    c_0_234,
    [final] ).

cnf(c_0_352,plain,
    ( m1_lattice4(esk6_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    c_0_235,
    [final] ).

cnf(c_0_353,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    c_0_236,
    [final] ).

cnf(c_0_354,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ v3_lattices(X1)
    | ~ l3_lattices(X1) ),
    c_0_237,
    [final] ).

cnf(c_0_355,plain,
    m1_relset_1(esk16_2(X1,X2),X1,X2),
    c_0_238,
    [final] ).

cnf(c_0_356,plain,
    m1_relset_1(esk12_2(X1,X2),X1,X2),
    c_0_239,
    [final] ).

cnf(c_0_357,plain,
    v1_funct_2(esk12_2(X1,X2),X1,X2),
    c_0_240,
    [final] ).

cnf(c_0_358,plain,
    m2_relset_1(esk9_2(X1,X2),X1,X2),
    c_0_241,
    [final] ).

cnf(c_0_359,plain,
    m1_relset_1(esk7_2(X1,X2),X1,X2),
    c_0_242,
    [final] ).

cnf(c_0_360,plain,
    ( m1_subset_1(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | ~ r2_hidden(X1,X3) ),
    c_0_243,
    [final] ).

cnf(c_0_361,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    c_0_244,
    [final] ).

cnf(c_0_362,plain,
    ( v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
    c_0_245,
    [final] ).

cnf(c_0_363,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk20_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    c_0_246,
    [final] ).

cnf(c_0_364,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    c_0_247,
    [final] ).

cnf(c_0_365,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ r2_hidden(X2,X1) ),
    c_0_248,
    [final] ).

cnf(c_0_366,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    c_0_249,
    [final] ).

cnf(c_0_367,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    c_0_250,
    [final] ).

cnf(c_0_368,plain,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    c_0_251,
    [final] ).

cnf(c_0_369,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    c_0_252,
    [final] ).

cnf(c_0_370,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    c_0_253,
    [final] ).

cnf(c_0_371,plain,
    ( v3_struct_0(X1)
    | v3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_254,
    [final] ).

cnf(c_0_372,plain,
    ( v3_struct_0(X1)
    | v4_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_255,
    [final] ).

cnf(c_0_373,plain,
    ( v3_struct_0(X1)
    | v5_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_256,
    [final] ).

cnf(c_0_374,plain,
    ( v3_struct_0(X1)
    | v6_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_257,
    [final] ).

cnf(c_0_375,plain,
    ( v3_struct_0(X1)
    | v7_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_258,
    [final] ).

cnf(c_0_376,plain,
    ( v3_struct_0(X1)
    | v8_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_259,
    [final] ).

cnf(c_0_377,plain,
    ( v3_struct_0(X1)
    | v9_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_260,
    [final] ).

cnf(c_0_378,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_261,
    [final] ).

cnf(c_0_379,plain,
    ( v3_struct_0(X1)
    | v13_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_262,
    [final] ).

cnf(c_0_380,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_263,
    [final] ).

cnf(c_0_381,plain,
    ( v3_struct_0(X1)
    | v15_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_264,
    [final] ).

cnf(c_0_382,plain,
    ( v3_struct_0(X1)
    | v3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_265,
    [final] ).

cnf(c_0_383,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_266,
    [final] ).

cnf(c_0_384,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    c_0_267,
    [final] ).

cnf(c_0_385,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)) ),
    c_0_268,
    [final] ).

cnf(c_0_386,plain,
    v1_relat_1(esk16_2(X1,X2)),
    c_0_269,
    [final] ).

cnf(c_0_387,plain,
    v1_funct_1(esk16_2(X1,X2)),
    c_0_270,
    [final] ).

cnf(c_0_388,plain,
    v1_relat_1(esk12_2(X1,X2)),
    c_0_271,
    [final] ).

cnf(c_0_389,plain,
    v1_funct_1(esk12_2(X1,X2)),
    c_0_272,
    [final] ).

cnf(c_0_390,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    c_0_273,
    [final] ).

cnf(c_0_391,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(esk20_1(X1)) ),
    c_0_274,
    [final] ).

cnf(c_0_392,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1) ),
    c_0_275,
    [final] ).

cnf(c_0_393,plain,
    m1_subset_1(esk17_1(X1),k1_zfmisc_1(X1)),
    c_0_276,
    [final] ).

cnf(c_0_394,plain,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(esk14_1(X1)) ),
    c_0_277,
    [final] ).

cnf(c_0_395,plain,
    m1_subset_1(esk8_1(X1),X1),
    c_0_278,
    [final] ).

cnf(c_0_396,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    c_0_279,
    [final] ).

cnf(c_0_397,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    c_0_280,
    [final] ).

cnf(c_0_398,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    c_0_281,
    [final] ).

cnf(c_0_399,plain,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    c_0_282,
    [final] ).

cnf(c_0_400,plain,
    r1_tarski(X1,X1),
    c_0_283,
    [final] ).

cnf(c_0_401,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    c_0_284,
    [final] ).

cnf(c_0_402,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    c_0_285,
    [final] ).

cnf(c_0_403,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    c_0_286,
    [final] ).

cnf(c_0_404,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    c_0_287,
    [final] ).

cnf(c_0_405,plain,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    c_0_288,
    [final] ).

cnf(c_0_406,plain,
    v1_xboole_0(esk17_1(X1)),
    c_0_289,
    [final] ).

cnf(c_0_407,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    c_0_290,
    [final] ).

cnf(c_0_408,plain,
    ~ v3_struct_0(esk19_0),
    c_0_291,
    [final] ).

cnf(c_0_409,plain,
    ~ v1_xboole_0(esk18_0),
    c_0_292,
    [final] ).

cnf(c_0_410,plain,
    l1_struct_0(esk19_0),
    c_0_293,
    [final] ).

cnf(c_0_411,plain,
    v1_xboole_0(esk15_0),
    c_0_294,
    [final] ).

cnf(c_0_412,plain,
    v1_relat_1(esk13_0),
    c_0_295,
    [final] ).

cnf(c_0_413,plain,
    v1_funct_1(esk13_0),
    c_0_296,
    [final] ).

cnf(c_0_414,plain,
    v2_funct_1(esk13_0),
    c_0_297,
    [final] ).

cnf(c_0_415,plain,
    v1_xboole_0(esk13_0),
    c_0_298,
    [final] ).

cnf(c_0_416,plain,
    v1_xboole_0(k1_xboole_0),
    c_0_299,
    [final] ).

cnf(c_0_417,plain,
    l3_lattices(esk5_0),
    c_0_300,
    [final] ).

cnf(c_0_418,plain,
    l2_lattices(esk4_0),
    c_0_301,
    [final] ).

cnf(c_0_419,plain,
    l1_struct_0(esk3_0),
    c_0_302,
    [final] ).

cnf(c_0_420,plain,
    l1_lattices(esk2_0),
    c_0_303,
    [final] ).

cnf(c_0_421,plain,
    l1_group_1(esk1_0),
    c_0_304,
    [final] ).

cnf(c_0_422,plain,
    $true,
    c_0_305,
    [final] ).

cnf(c_0_423,plain,
    $true,
    c_0_306,
    [final] ).

cnf(c_0_424,plain,
    $true,
    c_0_307,
    [final] ).

cnf(c_0_425,plain,
    $true,
    c_0_308,
    [final] ).

cnf(c_0_426,plain,
    $true,
    c_0_309,
    [final] ).

cnf(c_0_427,plain,
    $true,
    c_0_310,
    [final] ).

cnf(c_0_428,plain,
    $true,
    c_0_311,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_312_0,axiom,
    ( X2 = X4
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_312]) ).

cnf(c_0_312_1,axiom,
    ( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X2 = X4
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_312]) ).

cnf(c_0_312_2,axiom,
    ( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X2 = X4
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_312]) ).

cnf(c_0_312_3,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X2 = X4
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_312]) ).

cnf(c_0_312_4,axiom,
    ( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X2 = X4
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_312]) ).

cnf(c_0_312_5,axiom,
    ( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X2 = X4
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_312]) ).

cnf(c_0_312_6,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X2 = X4
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_312]) ).

cnf(c_0_312_7,axiom,
    ( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_312]) ).

cnf(c_0_313_0,axiom,
    ( X3 = X5
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_313]) ).

cnf(c_0_313_1,axiom,
    ( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X3 = X5
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_313]) ).

cnf(c_0_313_2,axiom,
    ( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X3 = X5
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_313]) ).

cnf(c_0_313_3,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X3 = X5
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_313]) ).

cnf(c_0_313_4,axiom,
    ( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X3 = X5
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_313]) ).

cnf(c_0_313_5,axiom,
    ( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X3 = X5
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_313]) ).

cnf(c_0_313_6,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X3 = X5
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_313]) ).

cnf(c_0_313_7,axiom,
    ( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X3 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_313]) ).

cnf(c_0_314_0,axiom,
    ( X1 = X6
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_314]) ).

cnf(c_0_314_1,axiom,
    ( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X1 = X6
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_314]) ).

cnf(c_0_314_2,axiom,
    ( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X1 = X6
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_314]) ).

cnf(c_0_314_3,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X1 = X6
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_314]) ).

cnf(c_0_314_4,axiom,
    ( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X1 = X6
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_314]) ).

cnf(c_0_314_5,axiom,
    ( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X1 = X6
    | ~ v1_funct_1(X3)
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_314]) ).

cnf(c_0_314_6,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X1 = X6
    | g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_314]) ).

cnf(c_0_314_7,axiom,
    ( g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | X1 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_314]) ).

cnf(c_0_315_0,axiom,
    ( v3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_315]) ).

cnf(c_0_315_1,axiom,
    ( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | v3_lattices(g3_lattices(X2,X3,X1))
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_315]) ).

cnf(c_0_315_2,axiom,
    ( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | v3_lattices(g3_lattices(X2,X3,X1))
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_315]) ).

cnf(c_0_315_3,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | v3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_315]) ).

cnf(c_0_315_4,axiom,
    ( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | v3_lattices(g3_lattices(X2,X3,X1))
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_315]) ).

cnf(c_0_315_5,axiom,
    ( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | v3_lattices(g3_lattices(X2,X3,X1))
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_315]) ).

cnf(c_0_315_6,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | v3_lattices(g3_lattices(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_315]) ).

cnf(c_0_316_0,axiom,
    ( l3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_316]) ).

cnf(c_0_316_1,axiom,
    ( ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | l3_lattices(g3_lattices(X2,X3,X1))
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_316]) ).

cnf(c_0_316_2,axiom,
    ( ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | l3_lattices(g3_lattices(X2,X3,X1))
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_316]) ).

cnf(c_0_316_3,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | l3_lattices(g3_lattices(X2,X3,X1))
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_316]) ).

cnf(c_0_316_4,axiom,
    ( ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | l3_lattices(g3_lattices(X2,X3,X1))
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_316]) ).

cnf(c_0_316_5,axiom,
    ( ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | l3_lattices(g3_lattices(X2,X3,X1))
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_316]) ).

cnf(c_0_316_6,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | l3_lattices(g3_lattices(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_316]) ).

cnf(c_0_317_0,axiom,
    ( m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v2_funct_1(X3)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_1,axiom,
    ( v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X1)
    | ~ v2_funct_1(X3)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_2,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v2_funct_1(X3)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_3,axiom,
    ( ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_4,axiom,
    ( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_5,axiom,
    ( ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_6,axiom,
    ( ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_7,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_8,axiom,
    ( ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_9,axiom,
    ( ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_10,axiom,
    ( ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_11,axiom,
    ( ~ l1_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_12,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_317_13,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_funct_1(X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_317]) ).

cnf(c_0_318_0,axiom,
    ( m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_1,axiom,
    ( v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_2,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_3,axiom,
    ( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_4,axiom,
    ( ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_5,axiom,
    ( ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v1_funct_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_6,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_7,axiom,
    ( ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_8,axiom,
    ( ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v3_group_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_9,axiom,
    ( ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_10,axiom,
    ( ~ l1_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_11,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2))
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_318_12,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_group_6(X3,X1,X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_318]) ).

cnf(c_0_319_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | m1_lattice4(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_2,axiom,
    ( m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_3,axiom,
    ( ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_7,axiom,
    ( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_8,axiom,
    ( ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_9,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_10,axiom,
    ( ~ m3_vectsp_8(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m4_vectsp_8(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_319_11,axiom,
    ( ~ m4_vectsp_8(X3,X1,X2)
    | ~ m3_vectsp_8(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m1_lattice4(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_319]) ).

cnf(c_0_320_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_2,axiom,
    ( v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_3,axiom,
    ( ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_4,axiom,
    ( ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_5,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_6,axiom,
    ( ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_7,axiom,
    ( ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_8,axiom,
    ( ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_9,axiom,
    ( ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_10,axiom,
    ( ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_320_11,axiom,
    ( ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_2(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_320]) ).

cnf(c_0_321_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_2,axiom,
    ( m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_3,axiom,
    ( ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_4,axiom,
    ( ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_5,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_6,axiom,
    ( ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_7,axiom,
    ( ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_8,axiom,
    ( ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_9,axiom,
    ( ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_10,axiom,
    ( ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_321_11,axiom,
    ( ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | m2_relset_1(k3_latsubgr(X2,X3,X1),u1_struct_0(k11_group_4(X2)),u1_struct_0(k11_group_4(X3)))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_321]) ).

cnf(c_0_322_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | m4_vectsp_8(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_2,axiom,
    ( m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_3,axiom,
    ( ~ l3_lattices(X1)
    | m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_7,axiom,
    ( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_8,axiom,
    ( ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_9,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_322_10,axiom,
    ( ~ m1_lattice4(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m4_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_322]) ).

cnf(c_0_323_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | m3_vectsp_8(X3,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_2,axiom,
    ( m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_3,axiom,
    ( ~ l3_lattices(X1)
    | m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_7,axiom,
    ( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_8,axiom,
    ( ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_9,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_lattice4(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_323_10,axiom,
    ( ~ m1_lattice4(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m3_vectsp_8(X3,X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_323]) ).

cnf(c_0_324_0,axiom,
    ( v3_struct_0(X3)
    | v3_struct_0(X2)
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X3)
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_2,axiom,
    ( v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_3,axiom,
    ( ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_4,axiom,
    ( ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v1_funct_1(X1)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_5,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_6,axiom,
    ( ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_7,axiom,
    ( ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_group_1(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_8,axiom,
    ( ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ l1_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_9,axiom,
    ( ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v4_group_1(X2)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_10,axiom,
    ( ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | ~ v3_group_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_324_11,axiom,
    ( ~ v3_group_1(X2)
    | ~ v4_group_1(X2)
    | ~ l1_group_1(X2)
    | ~ v3_group_1(X3)
    | ~ v4_group_1(X3)
    | ~ l1_group_1(X3)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
    | ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
    | v1_funct_1(k3_latsubgr(X2,X3,X1))
    | v3_struct_0(X2)
    | v3_struct_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_324]) ).

cnf(c_0_325_0,axiom,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_partfun1(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_325]) ).

cnf(c_0_325_1,axiom,
    ( v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | v1_partfun1(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_325]) ).

cnf(c_0_325_2,axiom,
    ( v1_partfun1(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_325]) ).

cnf(c_0_325_3,axiom,
    ( ~ m1_relset_1(X3,X2,X1)
    | v1_partfun1(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_325]) ).

cnf(c_0_325_4,axiom,
    ( ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_partfun1(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_325]) ).

cnf(c_0_325_5,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_partfun1(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_325]) ).

cnf(c_0_326_0,axiom,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_326]) ).

cnf(c_0_326_1,axiom,
    ( v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_326]) ).

cnf(c_0_326_2,axiom,
    ( v1_funct_2(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_326]) ).

cnf(c_0_326_3,axiom,
    ( ~ m1_relset_1(X3,X2,X1)
    | v1_funct_2(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_326]) ).

cnf(c_0_326_4,axiom,
    ( ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_funct_2(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_326]) ).

cnf(c_0_326_5,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_funct_2(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_326]) ).

cnf(c_0_327_0,axiom,
    ( v1_xboole_0(X1)
    | v1_partfun1(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_327]) ).

cnf(c_0_327_1,axiom,
    ( v1_partfun1(X2,X3,X1)
    | v1_xboole_0(X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_327]) ).

cnf(c_0_327_2,axiom,
    ( ~ m1_relset_1(X2,X3,X1)
    | v1_partfun1(X2,X3,X1)
    | v1_xboole_0(X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_327]) ).

cnf(c_0_327_3,axiom,
    ( ~ v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | v1_partfun1(X2,X3,X1)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_327]) ).

cnf(c_0_327_4,axiom,
    ( ~ v1_funct_1(X2)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | v1_partfun1(X2,X3,X1)
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_327]) ).

cnf(c_0_328_0,axiom,
    ( v1_xboole_0(X1)
    | v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_328]) ).

cnf(c_0_328_1,axiom,
    ( v1_funct_2(X2,X3,X1)
    | v1_xboole_0(X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_328]) ).

cnf(c_0_328_2,axiom,
    ( ~ m1_relset_1(X2,X3,X1)
    | v1_funct_2(X2,X3,X1)
    | v1_xboole_0(X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_328]) ).

cnf(c_0_328_3,axiom,
    ( ~ v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | v1_funct_2(X2,X3,X1)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_328]) ).

cnf(c_0_328_4,axiom,
    ( ~ v1_funct_1(X2)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | v1_funct_2(X2,X3,X1)
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_328]) ).

cnf(c_0_329_0,axiom,
    ( v1_funct_2(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_329]) ).

cnf(c_0_329_1,axiom,
    ( ~ m1_relset_1(X1,X2,X3)
    | v1_funct_2(X1,X2,X3)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_329]) ).

cnf(c_0_329_2,axiom,
    ( ~ v1_partfun1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3)
    | v1_funct_2(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_329]) ).

cnf(c_0_329_3,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3)
    | v1_funct_2(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_329]) ).

cnf(c_0_330_0,axiom,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3)
    | ~ v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_330]) ).

cnf(c_0_330_1,axiom,
    ( v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3)
    | ~ v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_330]) ).

cnf(c_0_330_2,axiom,
    ( ~ m1_relset_1(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3)
    | ~ v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_330]) ).

cnf(c_0_330_3,axiom,
    ( ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_330]) ).

cnf(c_0_330_4,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_xboole_0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_330]) ).

cnf(c_0_330_5,axiom,
    ( ~ v1_xboole_0(X3)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_330]) ).

cnf(c_0_331_0,axiom,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | v1_funct_1(X3)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_331]) ).

cnf(c_0_331_1,axiom,
    ( v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | v1_funct_1(X3)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_331]) ).

cnf(c_0_331_2,axiom,
    ( v1_funct_1(X3)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ m1_relset_1(X3,X2,X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_331]) ).

cnf(c_0_331_3,axiom,
    ( ~ m1_relset_1(X3,X2,X1)
    | v1_funct_1(X3)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_331]) ).

cnf(c_0_331_4,axiom,
    ( ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_funct_1(X3)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_331]) ).

cnf(c_0_331_5,axiom,
    ( ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,X2,X1)
    | ~ m1_relset_1(X3,X2,X1)
    | v1_funct_1(X3)
    | v1_xboole_0(X2)
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_331]) ).

cnf(c_0_332_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_332]) ).

cnf(c_0_332_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_332]) ).

cnf(c_0_332_2,axiom,
    ( v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_332]) ).

cnf(c_0_332_3,axiom,
    ( ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_332]) ).

cnf(c_0_332_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_332]) ).

cnf(c_0_332_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_332]) ).

cnf(c_0_332_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_332]) ).

cnf(c_0_332_7,axiom,
    ( ~ m4_vectsp_8(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_332]) ).

cnf(c_0_333_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_333]) ).

cnf(c_0_333_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_333]) ).

cnf(c_0_333_2,axiom,
    ( m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_333]) ).

cnf(c_0_333_3,axiom,
    ( ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_333]) ).

cnf(c_0_333_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_333]) ).

cnf(c_0_333_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_333]) ).

cnf(c_0_333_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_333]) ).

cnf(c_0_333_7,axiom,
    ( ~ m4_vectsp_8(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_333]) ).

cnf(c_0_334_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_334]) ).

cnf(c_0_334_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_334]) ).

cnf(c_0_334_2,axiom,
    ( v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_334]) ).

cnf(c_0_334_3,axiom,
    ( ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_334]) ).

cnf(c_0_334_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_334]) ).

cnf(c_0_334_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_334]) ).

cnf(c_0_334_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_334]) ).

cnf(c_0_334_7,axiom,
    ( ~ m3_vectsp_8(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_334]) ).

cnf(c_0_335_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_335]) ).

cnf(c_0_335_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_335]) ).

cnf(c_0_335_2,axiom,
    ( m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_335]) ).

cnf(c_0_335_3,axiom,
    ( ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_335]) ).

cnf(c_0_335_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_335]) ).

cnf(c_0_335_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_335]) ).

cnf(c_0_335_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_335]) ).

cnf(c_0_335_7,axiom,
    ( ~ m3_vectsp_8(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_335]) ).

cnf(c_0_336_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_336]) ).

cnf(c_0_336_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_336]) ).

cnf(c_0_336_2,axiom,
    ( v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_336]) ).

cnf(c_0_336_3,axiom,
    ( ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_336]) ).

cnf(c_0_336_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_336]) ).

cnf(c_0_336_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_336]) ).

cnf(c_0_336_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_336]) ).

cnf(c_0_336_7,axiom,
    ( ~ m1_lattice4(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_336]) ).

cnf(c_0_337_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_337]) ).

cnf(c_0_337_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_337]) ).

cnf(c_0_337_2,axiom,
    ( m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_337]) ).

cnf(c_0_337_3,axiom,
    ( ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_337]) ).

cnf(c_0_337_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_337]) ).

cnf(c_0_337_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_337]) ).

cnf(c_0_337_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_337]) ).

cnf(c_0_337_7,axiom,
    ( ~ m1_lattice4(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_337]) ).

cnf(c_0_338_0,axiom,
    ( v1_xboole_0(X1)
    | v1_funct_1(X2)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_338]) ).

cnf(c_0_338_1,axiom,
    ( v1_funct_1(X2)
    | v1_xboole_0(X1)
    | ~ m1_relset_1(X2,X3,X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_338]) ).

cnf(c_0_338_2,axiom,
    ( ~ m1_relset_1(X2,X3,X1)
    | v1_funct_1(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_338]) ).

cnf(c_0_338_3,axiom,
    ( ~ v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | v1_funct_1(X2)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_338]) ).

cnf(c_0_338_4,axiom,
    ( ~ v1_funct_1(X2)
    | ~ v1_funct_2(X2,X3,X1)
    | ~ m1_relset_1(X2,X3,X1)
    | v1_funct_1(X2)
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_338]) ).

cnf(c_0_339_0,axiom,
    ( v1_funct_1(X1)
    | ~ m1_relset_1(X1,X2,X3)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_339]) ).

cnf(c_0_339_1,axiom,
    ( ~ m1_relset_1(X1,X2,X3)
    | v1_funct_1(X1)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ v1_funct_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_339]) ).

cnf(c_0_339_2,axiom,
    ( ~ v1_partfun1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3)
    | v1_funct_1(X1)
    | ~ v1_funct_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_339]) ).

cnf(c_0_339_3,axiom,
    ( ~ v1_funct_1(X1)
    | ~ v1_partfun1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3)
    | v1_funct_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_339]) ).

cnf(c_0_340_0,axiom,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_340]) ).

cnf(c_0_340_1,axiom,
    ( ~ m2_relset_1(X1,X2,X3)
    | m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_340]) ).

cnf(c_0_341_0,axiom,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_341]) ).

cnf(c_0_341_1,axiom,
    ( ~ m2_relset_1(X1,X2,X3)
    | m1_relset_1(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_341]) ).

cnf(c_0_342_0,axiom,
    ( m2_relset_1(X1,X2,X3)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_342]) ).

cnf(c_0_342_1,axiom,
    ( ~ m1_relset_1(X1,X2,X3)
    | m2_relset_1(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_342]) ).

cnf(c_0_343_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_343]) ).

cnf(c_0_343_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_343]) ).

cnf(c_0_343_2,axiom,
    ( v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_343]) ).

cnf(c_0_343_3,axiom,
    ( ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_343]) ).

cnf(c_0_343_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_343]) ).

cnf(c_0_343_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_343]) ).

cnf(c_0_343_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m4_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_343]) ).

cnf(c_0_343_7,axiom,
    ( ~ m4_vectsp_8(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_343]) ).

cnf(c_0_344_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_344]) ).

cnf(c_0_344_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_344]) ).

cnf(c_0_344_2,axiom,
    ( v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_344]) ).

cnf(c_0_344_3,axiom,
    ( ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_344]) ).

cnf(c_0_344_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_344]) ).

cnf(c_0_344_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_344]) ).

cnf(c_0_344_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m3_vectsp_8(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_344]) ).

cnf(c_0_344_7,axiom,
    ( ~ m3_vectsp_8(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_344]) ).

cnf(c_0_345_0,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_345]) ).

cnf(c_0_345_1,axiom,
    ( v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_1(X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_345]) ).

cnf(c_0_345_2,axiom,
    ( v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_345]) ).

cnf(c_0_345_3,axiom,
    ( ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_345]) ).

cnf(c_0_345_4,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_345]) ).

cnf(c_0_345_5,axiom,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_345]) ).

cnf(c_0_345_6,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m1_lattice4(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_345]) ).

cnf(c_0_345_7,axiom,
    ( ~ m1_lattice4(X3,X2,X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | v1_funct_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_345]) ).

cnf(c_0_346_0,axiom,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_346]) ).

cnf(c_0_346_1,axiom,
    ( ~ l2_lattices(X1)
    | v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_346]) ).

cnf(c_0_347_0,axiom,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_347]) ).

cnf(c_0_347_1,axiom,
    ( ~ l2_lattices(X1)
    | m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_347]) ).

cnf(c_0_348_0,axiom,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_348]) ).

cnf(c_0_348_1,axiom,
    ( ~ l1_lattices(X1)
    | v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_348]) ).

cnf(c_0_349_0,axiom,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_349]) ).

cnf(c_0_349_1,axiom,
    ( ~ l1_lattices(X1)
    | m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_349]) ).

cnf(c_0_350_0,axiom,
    ( m4_vectsp_8(sk1_esk11_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_350]) ).

cnf(c_0_350_1,axiom,
    ( v3_struct_0(X2)
    | m4_vectsp_8(sk1_esk11_2(X1,X2),X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_350]) ).

cnf(c_0_350_2,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(sk1_esk11_2(X1,X2),X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_350]) ).

cnf(c_0_350_3,axiom,
    ( ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(sk1_esk11_2(X1,X2),X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_350]) ).

cnf(c_0_350_4,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(sk1_esk11_2(X1,X2),X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_350]) ).

cnf(c_0_350_5,axiom,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(sk1_esk11_2(X1,X2),X1,X2)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_350]) ).

cnf(c_0_350_6,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m4_vectsp_8(sk1_esk11_2(X1,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_350]) ).

cnf(c_0_351_0,axiom,
    ( m3_vectsp_8(sk1_esk10_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_351]) ).

cnf(c_0_351_1,axiom,
    ( v3_struct_0(X2)
    | m3_vectsp_8(sk1_esk10_2(X1,X2),X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_351]) ).

cnf(c_0_351_2,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(sk1_esk10_2(X1,X2),X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_351]) ).

cnf(c_0_351_3,axiom,
    ( ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(sk1_esk10_2(X1,X2),X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_351]) ).

cnf(c_0_351_4,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(sk1_esk10_2(X1,X2),X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_351]) ).

cnf(c_0_351_5,axiom,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(sk1_esk10_2(X1,X2),X1,X2)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_351]) ).

cnf(c_0_351_6,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m3_vectsp_8(sk1_esk10_2(X1,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_351]) ).

cnf(c_0_352_0,axiom,
    ( m1_lattice4(sk1_esk6_2(X1,X2),X1,X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_352]) ).

cnf(c_0_352_1,axiom,
    ( v3_struct_0(X2)
    | m1_lattice4(sk1_esk6_2(X1,X2),X1,X2)
    | v3_struct_0(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_352]) ).

cnf(c_0_352_2,axiom,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(sk1_esk6_2(X1,X2),X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_352]) ).

cnf(c_0_352_3,axiom,
    ( ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(sk1_esk6_2(X1,X2),X1,X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_352]) ).

cnf(c_0_352_4,axiom,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(sk1_esk6_2(X1,X2),X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_352]) ).

cnf(c_0_352_5,axiom,
    ( ~ l3_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(sk1_esk6_2(X1,X2),X1,X2)
    | ~ v10_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_352]) ).

cnf(c_0_352_6,axiom,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(sk1_esk6_2(X1,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_352]) ).

cnf(c_0_353_0,axiom,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_353]) ).

cnf(c_0_353_1,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | v1_relat_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_353]) ).

cnf(c_0_354_0,axiom,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ v3_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_354]) ).

cnf(c_0_354_1,axiom,
    ( ~ v3_lattices(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_354]) ).

cnf(c_0_354_2,axiom,
    ( ~ l3_lattices(X1)
    | ~ v3_lattices(X1)
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_354]) ).

cnf(c_0_360_0,axiom,
    ( m1_subset_1(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | ~ r2_hidden(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_360]) ).

cnf(c_0_360_1,axiom,
    ( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_360]) ).

cnf(c_0_360_2,axiom,
    ( ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | m1_subset_1(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_360]) ).

cnf(c_0_361_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_361]) ).

cnf(c_0_361_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_361]) ).

cnf(c_0_361_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_361]) ).

cnf(c_0_362_0,axiom,
    ( v1_xboole_0(X2)
    | v1_xboole_0(X1)
    | ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_362]) ).

cnf(c_0_362_1,axiom,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_362]) ).

cnf(c_0_362_2,axiom,
    ( ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
    | v1_xboole_0(X1)
    | v1_xboole_0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_362]) ).

cnf(c_0_363_0,axiom,
    ( v3_struct_0(X1)
    | m1_subset_1(sk1_esk20_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_363]) ).

cnf(c_0_363_1,axiom,
    ( m1_subset_1(sk1_esk20_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_363]) ).

cnf(c_0_363_2,axiom,
    ( ~ l1_struct_0(X1)
    | m1_subset_1(sk1_esk20_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_363]) ).

cnf(c_0_364_0,axiom,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_364]) ).

cnf(c_0_364_1,axiom,
    ( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
    | r1_tarski(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_364]) ).

cnf(c_0_365_0,axiom,
    ( ~ r2_hidden(X1,X2)
    | ~ r2_hidden(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_365]) ).

cnf(c_0_365_1,axiom,
    ( ~ r2_hidden(X2,X1)
    | ~ r2_hidden(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_365]) ).

cnf(c_0_366_0,axiom,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_366]) ).

cnf(c_0_366_1,axiom,
    ( ~ r1_tarski(X1,X2)
    | m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_366]) ).

cnf(c_0_367_0,axiom,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_367]) ).

cnf(c_0_367_1,axiom,
    ( ~ l1_group_1(X1)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_367]) ).

cnf(c_0_367_2,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_367]) ).

cnf(c_0_367_3,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_struct_0(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_367]) ).

cnf(c_0_367_4,axiom,
    ( ~ v3_struct_0(k11_group_4(X1))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_367]) ).

cnf(c_0_368_0,axiom,
    ( v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_368]) ).

cnf(c_0_368_1,axiom,
    ( ~ l1_group_1(X1)
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_368]) ).

cnf(c_0_368_2,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_struct_0(X1)
    | ~ v3_group_1(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_368]) ).

cnf(c_0_368_3,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_struct_0(X1)
    | ~ v3_struct_0(k11_group_4(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_368]) ).

cnf(c_0_368_4,axiom,
    ( ~ v3_struct_0(k11_group_4(X1))
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_368]) ).

cnf(c_0_369_0,axiom,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_369]) ).

cnf(c_0_369_1,axiom,
    ( v1_xboole_0(X2)
    | r2_hidden(X1,X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_369]) ).

cnf(c_0_369_2,axiom,
    ( ~ m1_subset_1(X1,X2)
    | v1_xboole_0(X2)
    | r2_hidden(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_369]) ).

cnf(c_0_370_0,axiom,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_370]) ).

cnf(c_0_370_1,axiom,
    ( ~ r2_hidden(X1,X2)
    | m1_subset_1(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_370]) ).

cnf(c_0_371_0,axiom,
    ( v3_struct_0(X1)
    | v3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_371]) ).

cnf(c_0_371_1,axiom,
    ( v3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_371]) ).

cnf(c_0_371_2,axiom,
    ( ~ l1_group_1(X1)
    | v3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_371]) ).

cnf(c_0_371_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_371]) ).

cnf(c_0_371_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_371]) ).

cnf(c_0_372_0,axiom,
    ( v3_struct_0(X1)
    | v4_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_372]) ).

cnf(c_0_372_1,axiom,
    ( v4_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_372]) ).

cnf(c_0_372_2,axiom,
    ( ~ l1_group_1(X1)
    | v4_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_372]) ).

cnf(c_0_372_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v4_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_372]) ).

cnf(c_0_372_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v4_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_372]) ).

cnf(c_0_373_0,axiom,
    ( v3_struct_0(X1)
    | v5_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_373]) ).

cnf(c_0_373_1,axiom,
    ( v5_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_373]) ).

cnf(c_0_373_2,axiom,
    ( ~ l1_group_1(X1)
    | v5_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_373]) ).

cnf(c_0_373_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v5_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_373]) ).

cnf(c_0_373_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v5_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_373]) ).

cnf(c_0_374_0,axiom,
    ( v3_struct_0(X1)
    | v6_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_374]) ).

cnf(c_0_374_1,axiom,
    ( v6_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_374]) ).

cnf(c_0_374_2,axiom,
    ( ~ l1_group_1(X1)
    | v6_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_374]) ).

cnf(c_0_374_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v6_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_374]) ).

cnf(c_0_374_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v6_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_374]) ).

cnf(c_0_375_0,axiom,
    ( v3_struct_0(X1)
    | v7_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_375]) ).

cnf(c_0_375_1,axiom,
    ( v7_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_375]) ).

cnf(c_0_375_2,axiom,
    ( ~ l1_group_1(X1)
    | v7_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_375]) ).

cnf(c_0_375_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v7_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_375]) ).

cnf(c_0_375_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v7_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_375]) ).

cnf(c_0_376_0,axiom,
    ( v3_struct_0(X1)
    | v8_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_376]) ).

cnf(c_0_376_1,axiom,
    ( v8_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_376]) ).

cnf(c_0_376_2,axiom,
    ( ~ l1_group_1(X1)
    | v8_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_376]) ).

cnf(c_0_376_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v8_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_376]) ).

cnf(c_0_376_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v8_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_376]) ).

cnf(c_0_377_0,axiom,
    ( v3_struct_0(X1)
    | v9_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_377]) ).

cnf(c_0_377_1,axiom,
    ( v9_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_377]) ).

cnf(c_0_377_2,axiom,
    ( ~ l1_group_1(X1)
    | v9_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_377]) ).

cnf(c_0_377_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v9_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_377]) ).

cnf(c_0_377_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v9_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_377]) ).

cnf(c_0_378_0,axiom,
    ( v3_struct_0(X1)
    | v10_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_378]) ).

cnf(c_0_378_1,axiom,
    ( v10_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_378]) ).

cnf(c_0_378_2,axiom,
    ( ~ l1_group_1(X1)
    | v10_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_378]) ).

cnf(c_0_378_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v10_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_378]) ).

cnf(c_0_378_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v10_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_378]) ).

cnf(c_0_379_0,axiom,
    ( v3_struct_0(X1)
    | v13_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_379]) ).

cnf(c_0_379_1,axiom,
    ( v13_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_379]) ).

cnf(c_0_379_2,axiom,
    ( ~ l1_group_1(X1)
    | v13_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_379]) ).

cnf(c_0_379_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v13_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_379]) ).

cnf(c_0_379_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v13_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_379]) ).

cnf(c_0_380_0,axiom,
    ( v3_struct_0(X1)
    | v14_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_380]) ).

cnf(c_0_380_1,axiom,
    ( v14_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_380]) ).

cnf(c_0_380_2,axiom,
    ( ~ l1_group_1(X1)
    | v14_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_380]) ).

cnf(c_0_380_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v14_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_380]) ).

cnf(c_0_380_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v14_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_380]) ).

cnf(c_0_381_0,axiom,
    ( v3_struct_0(X1)
    | v15_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_381]) ).

cnf(c_0_381_1,axiom,
    ( v15_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_381]) ).

cnf(c_0_381_2,axiom,
    ( ~ l1_group_1(X1)
    | v15_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_381]) ).

cnf(c_0_381_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v15_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_381]) ).

cnf(c_0_381_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v15_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_381]) ).

cnf(c_0_382_0,axiom,
    ( v3_struct_0(X1)
    | v3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_382]) ).

cnf(c_0_382_1,axiom,
    ( v3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_382]) ).

cnf(c_0_382_2,axiom,
    ( ~ l1_group_1(X1)
    | v3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_382]) ).

cnf(c_0_382_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_382]) ).

cnf(c_0_382_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v3_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_382]) ).

cnf(c_0_383_0,axiom,
    ( v3_struct_0(X1)
    | v10_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_383]) ).

cnf(c_0_383_1,axiom,
    ( v10_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_383]) ).

cnf(c_0_383_2,axiom,
    ( ~ l1_group_1(X1)
    | v10_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_383]) ).

cnf(c_0_383_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v10_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_383]) ).

cnf(c_0_383_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | v10_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_383]) ).

cnf(c_0_384_0,axiom,
    ( v3_struct_0(X1)
    | l3_lattices(k11_group_4(X1))
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_384]) ).

cnf(c_0_384_1,axiom,
    ( l3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_384]) ).

cnf(c_0_384_2,axiom,
    ( ~ l1_group_1(X1)
    | l3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_384]) ).

cnf(c_0_384_3,axiom,
    ( ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | l3_lattices(k11_group_4(X1))
    | v3_struct_0(X1)
    | ~ v3_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_384]) ).

cnf(c_0_384_4,axiom,
    ( ~ v3_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ l1_group_1(X1)
    | l3_lattices(k11_group_4(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_384]) ).

cnf(c_0_385_0,axiom,
    ( v1_xboole_0(X1)
    | m1_subset_1(sk1_esk14_1(X1),k1_zfmisc_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_385]) ).

cnf(c_0_385_1,axiom,
    ( m1_subset_1(sk1_esk14_1(X1),k1_zfmisc_1(X1))
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_385]) ).

cnf(c_0_390_0,axiom,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_390]) ).

cnf(c_0_390_1,axiom,
    ( ~ r2_hidden(X2,X1)
    | ~ v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_390]) ).

cnf(c_0_391_0,axiom,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(sk1_esk20_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_391]) ).

cnf(c_0_391_1,axiom,
    ( ~ l1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v1_xboole_0(sk1_esk20_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_391]) ).

cnf(c_0_391_2,axiom,
    ( ~ v1_xboole_0(sk1_esk20_1(X1))
    | ~ l1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_391]) ).

cnf(c_0_392_0,axiom,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_392]) ).

cnf(c_0_392_1,axiom,
    ( ~ v1_xboole_0(u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_392]) ).

cnf(c_0_392_2,axiom,
    ( ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | v3_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_392]) ).

cnf(c_0_394_0,axiom,
    ( v1_xboole_0(X1)
    | ~ v1_xboole_0(sk1_esk14_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_394]) ).

cnf(c_0_394_1,axiom,
    ( ~ v1_xboole_0(sk1_esk14_1(X1))
    | v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_394]) ).

cnf(c_0_396_0,axiom,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_396]) ).

cnf(c_0_396_1,axiom,
    ( ~ l2_lattices(X1)
    | v1_funct_1(u2_lattices(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_396]) ).

cnf(c_0_397_0,axiom,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_397]) ).

cnf(c_0_397_1,axiom,
    ( ~ l1_lattices(X1)
    | v1_funct_1(u1_lattices(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_397]) ).

cnf(c_0_399_0,axiom,
    ( X2 = X1
    | ~ v1_xboole_0(X1)
    | ~ v1_xboole_0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_399]) ).

cnf(c_0_399_1,axiom,
    ( ~ v1_xboole_0(X1)
    | X2 = X1
    | ~ v1_xboole_0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_399]) ).

cnf(c_0_399_2,axiom,
    ( ~ v1_xboole_0(X2)
    | ~ v1_xboole_0(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_399]) ).

cnf(c_0_401_0,axiom,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_401]) ).

cnf(c_0_401_1,axiom,
    ( ~ l3_lattices(X1)
    | l1_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_401]) ).

cnf(c_0_402_0,axiom,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_402]) ).

cnf(c_0_402_1,axiom,
    ( ~ l3_lattices(X1)
    | l2_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_402]) ).

cnf(c_0_403_0,axiom,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_403]) ).

cnf(c_0_403_1,axiom,
    ( ~ l2_lattices(X1)
    | l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_403]) ).

cnf(c_0_404_0,axiom,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_404]) ).

cnf(c_0_404_1,axiom,
    ( ~ l1_lattices(X1)
    | l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_404]) ).

cnf(c_0_405_0,axiom,
    ( l1_struct_0(X1)
    | ~ l1_group_1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_405]) ).

cnf(c_0_405_1,axiom,
    ( ~ l1_group_1(X1)
    | l1_struct_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_405]) ).

cnf(c_0_407_0,axiom,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_407]) ).

cnf(c_0_407_1,axiom,
    ( ~ v1_xboole_0(X1)
    | X1 = k1_xboole_0 ),
    inference(literals_permutation,[status(thm)],[c_0_407]) ).

cnf(c_0_398_0,axiom,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_398]) ).

cnf(c_0_408_0,axiom,
    ~ v3_struct_0(sk1_esk19_0),
    inference(literals_permutation,[status(thm)],[c_0_408]) ).

cnf(c_0_409_0,axiom,
    ~ v1_xboole_0(sk1_esk18_0),
    inference(literals_permutation,[status(thm)],[c_0_409]) ).

cnf(c_0_355_0,axiom,
    m1_relset_1(sk1_esk16_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_355]) ).

cnf(c_0_356_0,axiom,
    m1_relset_1(sk1_esk12_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_356]) ).

cnf(c_0_357_0,axiom,
    v1_funct_2(sk1_esk12_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_357]) ).

cnf(c_0_358_0,axiom,
    m2_relset_1(sk1_esk9_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_358]) ).

cnf(c_0_359_0,axiom,
    m1_relset_1(sk1_esk7_2(X1,X2),X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_359]) ).

cnf(c_0_386_0,axiom,
    v1_relat_1(sk1_esk16_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_386]) ).

cnf(c_0_387_0,axiom,
    v1_funct_1(sk1_esk16_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_387]) ).

cnf(c_0_388_0,axiom,
    v1_relat_1(sk1_esk12_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_388]) ).

cnf(c_0_389_0,axiom,
    v1_funct_1(sk1_esk12_2(X1,X2)),
    inference(literals_permutation,[status(thm)],[c_0_389]) ).

cnf(c_0_393_0,axiom,
    m1_subset_1(sk1_esk17_1(X1),k1_zfmisc_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_393]) ).

cnf(c_0_395_0,axiom,
    m1_subset_1(sk1_esk8_1(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_395]) ).

cnf(c_0_400_0,axiom,
    r1_tarski(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_400]) ).

cnf(c_0_406_0,axiom,
    v1_xboole_0(sk1_esk17_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_406]) ).

cnf(c_0_410_0,axiom,
    l1_struct_0(sk1_esk19_0),
    inference(literals_permutation,[status(thm)],[c_0_410]) ).

cnf(c_0_411_0,axiom,
    v1_xboole_0(sk1_esk15_0),
    inference(literals_permutation,[status(thm)],[c_0_411]) ).

cnf(c_0_412_0,axiom,
    v1_relat_1(sk1_esk13_0),
    inference(literals_permutation,[status(thm)],[c_0_412]) ).

cnf(c_0_413_0,axiom,
    v1_funct_1(sk1_esk13_0),
    inference(literals_permutation,[status(thm)],[c_0_413]) ).

cnf(c_0_414_0,axiom,
    v2_funct_1(sk1_esk13_0),
    inference(literals_permutation,[status(thm)],[c_0_414]) ).

cnf(c_0_415_0,axiom,
    v1_xboole_0(sk1_esk13_0),
    inference(literals_permutation,[status(thm)],[c_0_415]) ).

cnf(c_0_416_0,axiom,
    v1_xboole_0(k1_xboole_0),
    inference(literals_permutation,[status(thm)],[c_0_416]) ).

cnf(c_0_417_0,axiom,
    l3_lattices(sk1_esk5_0),
    inference(literals_permutation,[status(thm)],[c_0_417]) ).

cnf(c_0_418_0,axiom,
    l2_lattices(sk1_esk4_0),
    inference(literals_permutation,[status(thm)],[c_0_418]) ).

cnf(c_0_419_0,axiom,
    l1_struct_0(sk1_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_419]) ).

cnf(c_0_420_0,axiom,
    l1_lattices(sk1_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_420]) ).

cnf(c_0_421_0,axiom,
    l1_group_1(sk1_esk1_0),
    inference(literals_permutation,[status(thm)],[c_0_421]) ).

cnf(c_0_422_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_422]) ).

cnf(c_0_423_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_423]) ).

cnf(c_0_424_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_424]) ).

cnf(c_0_425_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_425]) ).

cnf(c_0_426_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_426]) ).

cnf(c_0_427_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_427]) ).

cnf(c_0_428_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_428]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_group_1(X1)
        & v4_group_1(X1)
        & l1_group_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_group_1(X2)
            & v4_group_1(X2)
            & l1_group_1(X2) )
         => ! [X3] :
              ( ( v1_funct_1(X3)
                & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                & v1_group_6(X3,X1,X2)
                & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
             => ( v2_funct_1(X3)
               => m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
    file('<stdin>',t38_latsubgr) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_group_1(X1)
          & v4_group_1(X1)
          & l1_group_1(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v3_group_1(X2)
              & v4_group_1(X2)
              & l1_group_1(X2) )
           => ! [X3] :
                ( ( v1_funct_1(X3)
                  & v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
                  & v1_group_6(X3,X1,X2)
                  & m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
               => ( v2_funct_1(X3)
                 => m1_lattice4(k3_latsubgr(X1,X2,X3),k11_group_4(X1),k11_group_4(X2)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2_003,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v3_group_1(esk1_0)
    & v4_group_1(esk1_0)
    & l1_group_1(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v3_group_1(esk2_0)
    & v4_group_1(esk2_0)
    & l1_group_1(esk2_0)
    & v1_funct_1(esk3_0)
    & v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    & v1_group_6(esk3_0,esk1_0,esk2_0)
    & m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    & v2_funct_1(esk3_0)
    & ~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    v1_group_6(esk3_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_008,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_009,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9_010,negated_conjecture,
    v3_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10_011,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11_012,negated_conjecture,
    l1_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12_013,negated_conjecture,
    v3_group_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13_014,negated_conjecture,
    v4_group_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14_015,negated_conjecture,
    l1_group_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15_016,negated_conjecture,
    v1_funct_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16_017,negated_conjecture,
    v2_funct_1(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17_018,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(esk1_0,esk2_0,esk3_0),k11_group_4(esk1_0),k11_group_4(esk2_0)),
    c_0_3,
    [final] ).

cnf(c_0_18_019,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    c_0_4,
    [final] ).

cnf(c_0_19_020,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
    c_0_5,
    [final] ).

cnf(c_0_20_021,negated_conjecture,
    v1_group_6(esk3_0,esk1_0,esk2_0),
    c_0_6,
    [final] ).

cnf(c_0_21_022,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    c_0_7,
    [final] ).

cnf(c_0_22_023,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    c_0_8,
    [final] ).

cnf(c_0_23_024,negated_conjecture,
    v3_group_1(esk1_0),
    c_0_9,
    [final] ).

cnf(c_0_24_025,negated_conjecture,
    v4_group_1(esk1_0),
    c_0_10,
    [final] ).

cnf(c_0_25_026,negated_conjecture,
    l1_group_1(esk1_0),
    c_0_11,
    [final] ).

cnf(c_0_26_027,negated_conjecture,
    v3_group_1(esk2_0),
    c_0_12,
    [final] ).

cnf(c_0_27_028,negated_conjecture,
    v4_group_1(esk2_0),
    c_0_13,
    [final] ).

cnf(c_0_28_029,negated_conjecture,
    l1_group_1(esk2_0),
    c_0_14,
    [final] ).

cnf(c_0_29_030,negated_conjecture,
    v1_funct_1(esk3_0),
    c_0_15,
    [final] ).

cnf(c_0_30_031,negated_conjecture,
    v2_funct_1(esk3_0),
    c_0_16,
    [final] ).

% End CNF derivation

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

cnf(c_469,negated_conjecture,
    v3_group_1(sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_23) ).

cnf(c_571,negated_conjecture,
    v3_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_469]) ).

cnf(c_621,negated_conjecture,
    v3_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_571]) ).

cnf(c_636,negated_conjecture,
    v3_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_621]) ).

cnf(c_656,negated_conjecture,
    v3_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_636]) ).

cnf(c_2086,negated_conjecture,
    v3_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_656]) ).

cnf(c_71,plain,
    ( v3_struct_0(X0)
    | v10_lattices(k11_group_4(X0))
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_383_4) ).

cnf(c_1276,plain,
    ( v3_struct_0(X0)
    | v10_lattices(k11_group_4(X0))
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0) ),
    inference(copy,[status(esa)],[c_71]) ).

cnf(c_1277,plain,
    ( ~ l1_group_1(X0)
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(X0)
    | v10_lattices(k11_group_4(X0)) ),
    inference(rewriting,[status(thm)],[c_1276]) ).

cnf(c_2226,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | v3_struct_0(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0)
    | v10_lattices(k11_group_4(sk2_esk1_0)) ),
    inference(resolution,[status(thm)],[c_2086,c_1277]) ).

cnf(c_2229,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | v3_struct_0(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0)
    | v10_lattices(k11_group_4(sk2_esk1_0)) ),
    inference(rewriting,[status(thm)],[c_2226]) ).

cnf(c_470,negated_conjecture,
    v4_group_1(sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_24) ).

cnf(c_573,negated_conjecture,
    v4_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_470]) ).

cnf(c_622,negated_conjecture,
    v4_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_573]) ).

cnf(c_635,negated_conjecture,
    v4_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_622]) ).

cnf(c_643,negated_conjecture,
    v4_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_635]) ).

cnf(c_2060,negated_conjecture,
    v4_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_643]) ).

cnf(c_464,negated_conjecture,
    ~ v3_struct_0(sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_21) ).

cnf(c_561,negated_conjecture,
    ~ v3_struct_0(sk2_esk1_0),
    inference(copy,[status(esa)],[c_464]) ).

cnf(c_616,negated_conjecture,
    ~ v3_struct_0(sk2_esk1_0),
    inference(copy,[status(esa)],[c_561]) ).

cnf(c_641,negated_conjecture,
    ~ v3_struct_0(sk2_esk1_0),
    inference(copy,[status(esa)],[c_616]) ).

cnf(c_651,negated_conjecture,
    ~ v3_struct_0(sk2_esk1_0),
    inference(copy,[status(esa)],[c_641]) ).

cnf(c_2076,negated_conjecture,
    ~ v3_struct_0(sk2_esk1_0),
    inference(copy,[status(esa)],[c_651]) ).

cnf(c_471,negated_conjecture,
    l1_group_1(sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_25) ).

cnf(c_575,negated_conjecture,
    l1_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_471]) ).

cnf(c_623,negated_conjecture,
    l1_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_575]) ).

cnf(c_634,negated_conjecture,
    l1_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_623]) ).

cnf(c_644,negated_conjecture,
    l1_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_634]) ).

cnf(c_2062,negated_conjecture,
    l1_group_1(sk2_esk1_0),
    inference(copy,[status(esa)],[c_644]) ).

cnf(c_2581,plain,
    v10_lattices(k11_group_4(sk2_esk1_0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2229,c_2060,c_2076,c_2062]) ).

cnf(c_2582,plain,
    v10_lattices(k11_group_4(sk2_esk1_0)),
    inference(rewriting,[status(thm)],[c_2581]) ).

cnf(c_393,plain,
    ( ~ m4_vectsp_8(X0,X1,X2)
    | ~ m3_vectsp_8(X0,X1,X2)
    | ~ v1_funct_1(X0)
    | ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(X0,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_319_4) ).

cnf(c_1920,plain,
    ( ~ m4_vectsp_8(X0,X1,X2)
    | ~ m3_vectsp_8(X0,X1,X2)
    | ~ v1_funct_1(X0)
    | ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_lattice4(X0,X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(copy,[status(esa)],[c_393]) ).

cnf(c_1921,plain,
    ( ~ l3_lattices(X0)
    | ~ l3_lattices(X1)
    | ~ v1_funct_1(X2)
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
    | v3_struct_0(X1)
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | ~ v10_lattices(X1)
    | m1_lattice4(X2,X1,X0)
    | ~ m3_vectsp_8(X2,X1,X0)
    | ~ m4_vectsp_8(X2,X1,X0) ),
    inference(rewriting,[status(thm)],[c_1920]) ).

cnf(c_2590,plain,
    ( ~ l3_lattices(k11_group_4(sk2_esk1_0))
    | ~ l3_lattices(X0)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | ~ v1_funct_2(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | m1_lattice4(X1,k11_group_4(sk2_esk1_0),X0)
    | ~ m3_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(resolution,[status(thm)],[c_2582,c_1921]) ).

cnf(c_2601,plain,
    ( ~ l3_lattices(k11_group_4(sk2_esk1_0))
    | ~ l3_lattices(X0)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | ~ v1_funct_2(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | m1_lattice4(X1,k11_group_4(sk2_esk1_0),X0)
    | ~ m3_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(rewriting,[status(thm)],[c_2590]) ).

cnf(c_66,plain,
    ( v3_struct_0(X0)
    | l3_lattices(k11_group_4(X0))
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_384_4) ).

cnf(c_1266,plain,
    ( v3_struct_0(X0)
    | l3_lattices(k11_group_4(X0))
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0) ),
    inference(copy,[status(esa)],[c_66]) ).

cnf(c_1267,plain,
    ( ~ l1_group_1(X0)
    | l3_lattices(k11_group_4(X0))
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(X0) ),
    inference(rewriting,[status(thm)],[c_1266]) ).

cnf(c_2227,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | l3_lattices(k11_group_4(sk2_esk1_0))
    | v3_struct_0(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_2086,c_1267]) ).

cnf(c_2228,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | l3_lattices(k11_group_4(sk2_esk1_0))
    | v3_struct_0(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_2227]) ).

cnf(c_2538,plain,
    l3_lattices(k11_group_4(sk2_esk1_0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2228,c_2060,c_2076,c_2062]) ).

cnf(c_2539,plain,
    l3_lattices(k11_group_4(sk2_esk1_0)),
    inference(rewriting,[status(thm)],[c_2538]) ).

cnf(c_284,plain,
    ( ~ m4_vectsp_8(X0,X1,X2)
    | ~ v10_lattices(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_332_5) ).

cnf(c_1702,plain,
    ( ~ m4_vectsp_8(X0,X1,X2)
    | ~ v10_lattices(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1) ),
    inference(copy,[status(esa)],[c_284]) ).

cnf(c_1703,plain,
    ( ~ l3_lattices(X0)
    | ~ l3_lattices(X1)
    | v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
    | v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X2,X1,X0) ),
    inference(rewriting,[status(thm)],[c_1702]) ).

cnf(c_2553,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_2(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(k11_group_4(sk2_esk1_0))
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(resolution,[status(thm)],[c_2539,c_1703]) ).

cnf(c_2570,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_2(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(k11_group_4(sk2_esk1_0))
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(rewriting,[status(thm)],[c_2553]) ).

cnf(c_9407,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_2(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2570,c_2582]) ).

cnf(c_9408,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_2(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(rewriting,[status(thm)],[c_9407]) ).

cnf(c_276,plain,
    ( ~ m4_vectsp_8(X0,X1,X2)
    | ~ v10_lattices(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_333_5) ).

cnf(c_1686,plain,
    ( ~ m4_vectsp_8(X0,X1,X2)
    | ~ v10_lattices(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1) ),
    inference(copy,[status(esa)],[c_276]) ).

cnf(c_1687,plain,
    ( ~ l3_lattices(X0)
    | ~ l3_lattices(X1)
    | m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
    | v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X2,X1,X0) ),
    inference(rewriting,[status(thm)],[c_1686]) ).

cnf(c_2554,plain,
    ( ~ l3_lattices(X0)
    | m2_relset_1(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(k11_group_4(sk2_esk1_0))
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(resolution,[status(thm)],[c_2539,c_1687]) ).

cnf(c_2569,plain,
    ( ~ l3_lattices(X0)
    | m2_relset_1(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(k11_group_4(sk2_esk1_0))
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(rewriting,[status(thm)],[c_2554]) ).

cnf(c_9388,plain,
    ( ~ l3_lattices(X0)
    | m2_relset_1(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2569,c_2582]) ).

cnf(c_9389,plain,
    ( ~ l3_lattices(X0)
    | m2_relset_1(X1,u1_struct_0(k11_group_4(sk2_esk1_0)),u1_struct_0(X0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(rewriting,[status(thm)],[c_9388]) ).

cnf(c_213,plain,
    ( ~ m3_vectsp_8(X0,X1,X2)
    | ~ v10_lattices(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_1(X0)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_344_5) ).

cnf(c_1560,plain,
    ( ~ m3_vectsp_8(X0,X1,X2)
    | ~ v10_lattices(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | v1_funct_1(X0)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X1) ),
    inference(copy,[status(esa)],[c_213]) ).

cnf(c_1561,plain,
    ( ~ l3_lattices(X0)
    | ~ l3_lattices(X1)
    | v1_funct_1(X2)
    | v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X0)
    | ~ m3_vectsp_8(X2,X1,X0) ),
    inference(rewriting,[status(thm)],[c_1560]) ).

cnf(c_2560,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(X1)
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(k11_group_4(sk2_esk1_0))
    | ~ v10_lattices(X0)
    | ~ m3_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(resolution,[status(thm)],[c_2539,c_1561]) ).

cnf(c_2563,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(X1)
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(k11_group_4(sk2_esk1_0))
    | ~ v10_lattices(X0)
    | ~ m3_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(rewriting,[status(thm)],[c_2560]) ).

cnf(c_6780,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(X1)
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | ~ m3_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2563,c_2582]) ).

cnf(c_6781,plain,
    ( ~ l3_lattices(X0)
    | v1_funct_1(X1)
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | ~ m3_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(rewriting,[status(thm)],[c_6780]) ).

cnf(c_13839,plain,
    ( ~ l3_lattices(X0)
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | m1_lattice4(X1,k11_group_4(sk2_esk1_0),X0)
    | ~ m3_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2601,c_9408,c_9389,c_6781,c_2539]) ).

cnf(c_13840,plain,
    ( ~ l3_lattices(X0)
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(X0)
    | ~ v10_lattices(X0)
    | m1_lattice4(X1,k11_group_4(sk2_esk1_0),X0)
    | ~ m3_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0)
    | ~ m4_vectsp_8(X1,k11_group_4(sk2_esk1_0),X0) ),
    inference(rewriting,[status(thm)],[c_13839]) ).

cnf(c_472,negated_conjecture,
    v3_group_1(sk2_esk2_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_26) ).

cnf(c_577,negated_conjecture,
    v3_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_472]) ).

cnf(c_624,negated_conjecture,
    v3_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_577]) ).

cnf(c_633,negated_conjecture,
    v3_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_624]) ).

cnf(c_645,negated_conjecture,
    v3_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_633]) ).

cnf(c_2064,negated_conjecture,
    v3_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_645]) ).

cnf(c_398,plain,
    ( m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
    | v3_struct_0(X1)
    | v3_struct_0(X0)
    | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
    | ~ v1_group_6(X2,X0,X1)
    | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
    | ~ v1_funct_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_318_12) ).

cnf(c_1930,plain,
    ( m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
    | v3_struct_0(X1)
    | v3_struct_0(X0)
    | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
    | ~ v1_group_6(X2,X0,X1)
    | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
    | ~ v1_funct_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0) ),
    inference(copy,[status(esa)],[c_398]) ).

cnf(c_1931,plain,
    ( ~ l1_group_1(X0)
    | ~ l1_group_1(X1)
    | ~ v1_funct_1(X2)
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
    | v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ v3_group_1(X0)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X0)
    | ~ v4_group_1(X1)
    | m4_vectsp_8(k3_latsubgr(X1,X0,X2),k11_group_4(X1),k11_group_4(X0))
    | ~ v1_group_6(X2,X1,X0) ),
    inference(rewriting,[status(thm)],[c_1930]) ).

cnf(c_2117,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | ~ l1_group_1(X0)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(sk2_esk2_0)
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(sk2_esk2_0)
    | ~ v4_group_1(X0)
    | m4_vectsp_8(k3_latsubgr(X0,sk2_esk2_0,X1),k11_group_4(X0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X1,X0,sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_2064,c_1931]) ).

cnf(c_2142,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | ~ l1_group_1(X0)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(sk2_esk2_0)
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(sk2_esk2_0)
    | ~ v4_group_1(X0)
    | m4_vectsp_8(k3_latsubgr(X0,sk2_esk2_0,X1),k11_group_4(X0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X1,X0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_2117]) ).

cnf(c_473,negated_conjecture,
    v4_group_1(sk2_esk2_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_27) ).

cnf(c_579,negated_conjecture,
    v4_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_473]) ).

cnf(c_625,negated_conjecture,
    v4_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_579]) ).

cnf(c_632,negated_conjecture,
    v4_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_625]) ).

cnf(c_646,negated_conjecture,
    v4_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_632]) ).

cnf(c_2066,negated_conjecture,
    v4_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_646]) ).

cnf(c_465,negated_conjecture,
    ~ v3_struct_0(sk2_esk2_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_22) ).

cnf(c_563,negated_conjecture,
    ~ v3_struct_0(sk2_esk2_0),
    inference(copy,[status(esa)],[c_465]) ).

cnf(c_617,negated_conjecture,
    ~ v3_struct_0(sk2_esk2_0),
    inference(copy,[status(esa)],[c_563]) ).

cnf(c_640,negated_conjecture,
    ~ v3_struct_0(sk2_esk2_0),
    inference(copy,[status(esa)],[c_617]) ).

cnf(c_652,negated_conjecture,
    ~ v3_struct_0(sk2_esk2_0),
    inference(copy,[status(esa)],[c_640]) ).

cnf(c_2078,negated_conjecture,
    ~ v3_struct_0(sk2_esk2_0),
    inference(copy,[status(esa)],[c_652]) ).

cnf(c_474,negated_conjecture,
    l1_group_1(sk2_esk2_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_28) ).

cnf(c_581,negated_conjecture,
    l1_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_474]) ).

cnf(c_626,negated_conjecture,
    l1_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_581]) ).

cnf(c_631,negated_conjecture,
    l1_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_626]) ).

cnf(c_647,negated_conjecture,
    l1_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_631]) ).

cnf(c_2068,negated_conjecture,
    l1_group_1(sk2_esk2_0),
    inference(copy,[status(esa)],[c_647]) ).

cnf(c_4058,plain,
    ( ~ l1_group_1(X0)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(X0)
    | m4_vectsp_8(k3_latsubgr(X0,sk2_esk2_0,X1),k11_group_4(X0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X1,X0,sk2_esk2_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2142,c_2066,c_2078,c_2068]) ).

cnf(c_4059,plain,
    ( ~ l1_group_1(X0)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(X0)
    | m4_vectsp_8(k3_latsubgr(X0,sk2_esk2_0,X1),k11_group_4(X0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X1,X0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_4058]) ).

cnf(c_13850,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | ~ l3_lattices(k11_group_4(sk2_esk2_0))
    | ~ v1_funct_1(X0)
    | ~ m2_relset_1(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | v3_struct_0(sk2_esk1_0)
    | ~ v3_group_1(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0)
    | ~ v10_lattices(k11_group_4(sk2_esk2_0))
    | m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ m3_vectsp_8(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X0,sk2_esk1_0,sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_13840,c_4059]) ).

cnf(c_13851,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | ~ l3_lattices(k11_group_4(sk2_esk2_0))
    | ~ v1_funct_1(X0)
    | ~ m2_relset_1(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | v3_struct_0(sk2_esk1_0)
    | ~ v3_group_1(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0)
    | ~ v10_lattices(k11_group_4(sk2_esk2_0))
    | m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ m3_vectsp_8(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X0,sk2_esk1_0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_13850]) ).

cnf(c_2128,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | v3_struct_0(sk2_esk2_0)
    | ~ v4_group_1(sk2_esk2_0)
    | v10_lattices(k11_group_4(sk2_esk2_0)) ),
    inference(resolution,[status(thm)],[c_2064,c_1277]) ).

cnf(c_2131,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | v3_struct_0(sk2_esk2_0)
    | ~ v4_group_1(sk2_esk2_0)
    | v10_lattices(k11_group_4(sk2_esk2_0)) ),
    inference(rewriting,[status(thm)],[c_2128]) ).

cnf(c_2425,plain,
    v10_lattices(k11_group_4(sk2_esk2_0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2131,c_2066,c_2078,c_2068]) ).

cnf(c_2426,plain,
    v10_lattices(k11_group_4(sk2_esk2_0)),
    inference(rewriting,[status(thm)],[c_2425]) ).

cnf(c_2129,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | l3_lattices(k11_group_4(sk2_esk2_0))
    | v3_struct_0(sk2_esk2_0)
    | ~ v4_group_1(sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_2064,c_1267]) ).

cnf(c_2130,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | l3_lattices(k11_group_4(sk2_esk2_0))
    | v3_struct_0(sk2_esk2_0)
    | ~ v4_group_1(sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_2129]) ).

cnf(c_2382,plain,
    l3_lattices(k11_group_4(sk2_esk2_0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2130,c_2066,c_2078,c_2068]) ).

cnf(c_2383,plain,
    l3_lattices(k11_group_4(sk2_esk2_0)),
    inference(rewriting,[status(thm)],[c_2382]) ).

cnf(c_14745,plain,
    ( ~ v1_funct_1(X0)
    | ~ m2_relset_1(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ m3_vectsp_8(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X0,sk2_esk1_0,sk2_esk2_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13851,c_2426,c_2060,c_2086,c_2076,c_2383,c_2062]) ).

cnf(c_14746,plain,
    ( ~ v1_funct_1(X0)
    | ~ m2_relset_1(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ m3_vectsp_8(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X0,sk2_esk1_0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_14745]) ).

cnf(c_411,plain,
    ( m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
    | v3_struct_0(X1)
    | v3_struct_0(X0)
    | ~ v2_funct_1(X2)
    | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
    | ~ v1_group_6(X2,X0,X1)
    | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
    | ~ v1_funct_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_317_13) ).

cnf(c_1956,plain,
    ( m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
    | v3_struct_0(X1)
    | v3_struct_0(X0)
    | ~ v2_funct_1(X2)
    | ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
    | ~ v1_group_6(X2,X0,X1)
    | ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
    | ~ v1_funct_1(X2)
    | ~ l1_group_1(X1)
    | ~ v4_group_1(X1)
    | ~ v3_group_1(X1)
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0) ),
    inference(copy,[status(esa)],[c_411]) ).

cnf(c_1957,plain,
    ( ~ l1_group_1(X0)
    | ~ l1_group_1(X1)
    | ~ v2_funct_1(X2)
    | ~ v1_funct_1(X2)
    | ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
    | ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
    | v3_struct_0(X0)
    | v3_struct_0(X1)
    | ~ v3_group_1(X0)
    | ~ v3_group_1(X1)
    | ~ v4_group_1(X0)
    | ~ v4_group_1(X1)
    | m3_vectsp_8(k3_latsubgr(X1,X0,X2),k11_group_4(X1),k11_group_4(X0))
    | ~ v1_group_6(X2,X1,X0) ),
    inference(rewriting,[status(thm)],[c_1956]) ).

cnf(c_2116,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | ~ l1_group_1(X0)
    | ~ v2_funct_1(X1)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(sk2_esk2_0)
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(sk2_esk2_0)
    | ~ v4_group_1(X0)
    | m3_vectsp_8(k3_latsubgr(X0,sk2_esk2_0,X1),k11_group_4(X0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X1,X0,sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_2064,c_1957]) ).

cnf(c_2143,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | ~ l1_group_1(X0)
    | ~ v2_funct_1(X1)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(sk2_esk2_0)
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(sk2_esk2_0)
    | ~ v4_group_1(X0)
    | m3_vectsp_8(k3_latsubgr(X0,sk2_esk2_0,X1),k11_group_4(X0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X1,X0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_2116]) ).

cnf(c_4206,plain,
    ( ~ l1_group_1(X0)
    | ~ v2_funct_1(X1)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(X0)
    | m3_vectsp_8(k3_latsubgr(X0,sk2_esk2_0,X1),k11_group_4(X0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X1,X0,sk2_esk2_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2143,c_2066,c_2078,c_2068]) ).

cnf(c_4207,plain,
    ( ~ l1_group_1(X0)
    | ~ v2_funct_1(X1)
    | ~ v1_funct_1(X1)
    | ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(X0)
    | m3_vectsp_8(k3_latsubgr(X0,sk2_esk2_0,X1),k11_group_4(X0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X1,X0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_4206]) ).

cnf(c_14755,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | ~ v2_funct_1(X0)
    | ~ v1_funct_1(X0)
    | ~ m2_relset_1(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | v3_struct_0(sk2_esk1_0)
    | ~ v3_group_1(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0)
    | m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X0,sk2_esk1_0,sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_14746,c_4207]) ).

cnf(c_14756,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | ~ v2_funct_1(X0)
    | ~ v1_funct_1(X0)
    | ~ m2_relset_1(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | v3_struct_0(sk2_esk1_0)
    | ~ v3_group_1(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0)
    | m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X0,sk2_esk1_0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_14755]) ).

cnf(c_14771,plain,
    ( ~ v2_funct_1(X0)
    | ~ v1_funct_1(X0)
    | ~ m2_relset_1(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X0,sk2_esk1_0,sk2_esk2_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14756,c_2060,c_2086,c_2076,c_2062]) ).

cnf(c_14772,plain,
    ( ~ v2_funct_1(X0)
    | ~ v1_funct_1(X0)
    | ~ m2_relset_1(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(X0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,X0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(X0,sk2_esk1_0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_14771]) ).

cnf(c_463,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_17) ).

cnf(c_559,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_463]) ).

cnf(c_615,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_559]) ).

cnf(c_642,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_615]) ).

cnf(c_650,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_642]) ).

cnf(c_2074,negated_conjecture,
    ~ m1_lattice4(k3_latsubgr(sk2_esk1_0,sk2_esk2_0,sk2_esk3_0),k11_group_4(sk2_esk1_0),k11_group_4(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_650]) ).

cnf(c_14791,plain,
    ( ~ v2_funct_1(sk2_esk3_0)
    | ~ v1_funct_1(sk2_esk3_0)
    | ~ m2_relset_1(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_14772,c_2074]) ).

cnf(c_14792,plain,
    ( ~ v2_funct_1(sk2_esk3_0)
    | ~ v1_funct_1(sk2_esk3_0)
    | ~ m2_relset_1(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | ~ v1_funct_2(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0))
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0))
    | ~ v1_group_6(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_14791]) ).

cnf(c_468,negated_conjecture,
    v1_group_6(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_20) ).

cnf(c_569,negated_conjecture,
    v1_group_6(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0),
    inference(copy,[status(esa)],[c_468]) ).

cnf(c_620,negated_conjecture,
    v1_group_6(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0),
    inference(copy,[status(esa)],[c_569]) ).

cnf(c_637,negated_conjecture,
    v1_group_6(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0),
    inference(copy,[status(esa)],[c_620]) ).

cnf(c_655,negated_conjecture,
    v1_group_6(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0),
    inference(copy,[status(esa)],[c_637]) ).

cnf(c_2084,negated_conjecture,
    v1_group_6(sk2_esk3_0,sk2_esk1_0,sk2_esk2_0),
    inference(copy,[status(esa)],[c_655]) ).

cnf(c_466,negated_conjecture,
    v1_funct_2(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_18) ).

cnf(c_565,negated_conjecture,
    v1_funct_2(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_466]) ).

cnf(c_618,negated_conjecture,
    v1_funct_2(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_565]) ).

cnf(c_639,negated_conjecture,
    v1_funct_2(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_618]) ).

cnf(c_653,negated_conjecture,
    v1_funct_2(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_639]) ).

cnf(c_2080,plain,
    v1_funct_2(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_653]) ).

cnf(c_467,negated_conjecture,
    m2_relset_1(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_19) ).

cnf(c_567,negated_conjecture,
    m2_relset_1(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_467]) ).

cnf(c_619,negated_conjecture,
    m2_relset_1(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_567]) ).

cnf(c_638,negated_conjecture,
    m2_relset_1(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_619]) ).

cnf(c_654,negated_conjecture,
    m2_relset_1(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_638]) ).

cnf(c_2082,plain,
    m2_relset_1(sk2_esk3_0,u1_struct_0(sk2_esk1_0),u1_struct_0(sk2_esk2_0)),
    inference(copy,[status(esa)],[c_654]) ).

cnf(c_475,negated_conjecture,
    v1_funct_1(sk2_esk3_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_29) ).

cnf(c_583,negated_conjecture,
    v1_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_475]) ).

cnf(c_627,negated_conjecture,
    v1_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_583]) ).

cnf(c_630,negated_conjecture,
    v1_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_627]) ).

cnf(c_648,negated_conjecture,
    v1_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_630]) ).

cnf(c_2070,plain,
    v1_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_648]) ).

cnf(c_476,negated_conjecture,
    v2_funct_1(sk2_esk3_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_30) ).

cnf(c_585,negated_conjecture,
    v2_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_476]) ).

cnf(c_628,negated_conjecture,
    v2_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_585]) ).

cnf(c_629,negated_conjecture,
    v2_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_628]) ).

cnf(c_649,negated_conjecture,
    v2_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_629]) ).

cnf(c_2072,negated_conjecture,
    v2_funct_1(sk2_esk3_0),
    inference(copy,[status(esa)],[c_649]) ).

cnf(c_14802,plain,
    ( v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14792,c_2084,c_2080,c_2082,c_2070,c_2072]) ).

cnf(c_14803,plain,
    ( v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(k11_group_4(sk2_esk2_0)) ),
    inference(rewriting,[status(thm)],[c_14802]) ).

cnf(c_141,plain,
    ( v3_struct_0(X0)
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0)
    | ~ v3_struct_0(k11_group_4(X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p',c_0_368_4) ).

cnf(c_1416,plain,
    ( v3_struct_0(X0)
    | ~ l1_group_1(X0)
    | ~ v4_group_1(X0)
    | ~ v3_group_1(X0)
    | ~ v3_struct_0(k11_group_4(X0)) ),
    inference(copy,[status(esa)],[c_141]) ).

cnf(c_1417,plain,
    ( ~ l1_group_1(X0)
    | ~ v3_struct_0(k11_group_4(X0))
    | v3_struct_0(X0)
    | ~ v3_group_1(X0)
    | ~ v4_group_1(X0) ),
    inference(rewriting,[status(thm)],[c_1416]) ).

cnf(c_14806,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(sk2_esk2_0)
    | ~ v3_group_1(sk2_esk2_0)
    | ~ v4_group_1(sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_14803,c_1417]) ).

cnf(c_14807,plain,
    ( ~ l1_group_1(sk2_esk2_0)
    | v3_struct_0(k11_group_4(sk2_esk1_0))
    | v3_struct_0(sk2_esk2_0)
    | ~ v3_group_1(sk2_esk2_0)
    | ~ v4_group_1(sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_14806]) ).

cnf(c_15093,plain,
    v3_struct_0(k11_group_4(sk2_esk1_0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_14807,c_2066,c_2064,c_2078,c_2068]) ).

cnf(c_15094,plain,
    v3_struct_0(k11_group_4(sk2_esk1_0)),
    inference(rewriting,[status(thm)],[c_15093]) ).

cnf(c_15096,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | v3_struct_0(sk2_esk1_0)
    | ~ v3_group_1(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_15094,c_1417]) ).

cnf(c_15097,plain,
    ( ~ l1_group_1(sk2_esk1_0)
    | v3_struct_0(sk2_esk1_0)
    | ~ v3_group_1(sk2_esk1_0)
    | ~ v4_group_1(sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_15096]) ).

cnf(c_15102,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_15097,c_2060,c_2086,c_2076,c_2062]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP653+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun 14 12:13:56 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.19/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.41  % FOF problem with conjecture
% 0.19/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_691f97.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c94aa4 | grep -v "SZS"
% 0.19/0.44  
% 0.19/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.44  
% 0.19/0.44  % 
% 0.19/0.44  % ------  iProver source info 
% 0.19/0.44  
% 0.19/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.44  % git: non_committed_changes: true
% 0.19/0.44  % git: last_make_outside_of_git: true
% 0.19/0.44  
% 0.19/0.44  % 
% 0.19/0.44  % ------ Input Options
% 0.19/0.44  
% 0.19/0.44  % --out_options                         all
% 0.19/0.44  % --tptp_safe_out                       true
% 0.19/0.44  % --problem_path                        ""
% 0.19/0.44  % --include_path                        ""
% 0.19/0.44  % --clausifier                          .//eprover
% 0.19/0.44  % --clausifier_options                  --tstp-format  
% 0.19/0.44  % --stdin                               false
% 0.19/0.44  % --dbg_backtrace                       false
% 0.19/0.44  % --dbg_dump_prop_clauses               false
% 0.19/0.44  % --dbg_dump_prop_clauses_file          -
% 0.19/0.44  % --dbg_out_stat                        false
% 0.19/0.44  
% 0.19/0.44  % ------ General Options
% 0.19/0.44  
% 0.19/0.44  % --fof                                 false
% 0.19/0.44  % --time_out_real                       150.
% 0.19/0.44  % --time_out_prep_mult                  0.2
% 0.19/0.44  % --time_out_virtual                    -1.
% 0.19/0.44  % --schedule                            none
% 0.19/0.44  % --ground_splitting                    input
% 0.19/0.44  % --splitting_nvd                       16
% 0.19/0.44  % --non_eq_to_eq                        false
% 0.19/0.44  % --prep_gs_sim                         true
% 0.19/0.44  % --prep_unflatten                      false
% 0.19/0.44  % --prep_res_sim                        true
% 0.19/0.44  % --prep_upred                          true
% 0.19/0.44  % --res_sim_input                       true
% 0.19/0.44  % --clause_weak_htbl                    true
% 0.19/0.44  % --gc_record_bc_elim                   false
% 0.19/0.44  % --symbol_type_check                   false
% 0.19/0.44  % --clausify_out                        false
% 0.19/0.44  % --large_theory_mode                   false
% 0.19/0.44  % --prep_sem_filter                     none
% 0.19/0.44  % --prep_sem_filter_out                 false
% 0.19/0.44  % --preprocessed_out                    false
% 0.19/0.44  % --sub_typing                          false
% 0.19/0.44  % --brand_transform                     false
% 0.19/0.44  % --pure_diseq_elim                     true
% 0.19/0.44  % --min_unsat_core                      false
% 0.19/0.44  % --pred_elim                           true
% 0.19/0.44  % --add_important_lit                   false
% 0.19/0.44  % --soft_assumptions                    false
% 0.19/0.44  % --reset_solvers                       false
% 0.19/0.44  % --bc_imp_inh                          []
% 0.19/0.44  % --conj_cone_tolerance                 1.5
% 0.19/0.44  % --prolific_symb_bound                 500
% 0.19/0.44  % --lt_threshold                        2000
% 0.19/0.44  
% 0.19/0.44  % ------ SAT Options
% 0.19/0.44  
% 0.19/0.44  % --sat_mode                            false
% 0.19/0.44  % --sat_fm_restart_options              ""
% 0.19/0.44  % --sat_gr_def                          false
% 0.19/0.44  % --sat_epr_types                       true
% 0.19/0.44  % --sat_non_cyclic_types                false
% 0.19/0.44  % --sat_finite_models                   false
% 0.19/0.44  % --sat_fm_lemmas                       false
% 0.19/0.44  % --sat_fm_prep                         false
% 0.19/0.44  % --sat_fm_uc_incr                      true
% 0.19/0.44  % --sat_out_model                       small
% 0.19/0.44  % --sat_out_clauses                     false
% 0.19/0.44  
% 0.19/0.44  % ------ QBF Options
% 0.19/0.44  
% 0.19/0.44  % --qbf_mode                            false
% 0.19/0.44  % --qbf_elim_univ                       true
% 0.19/0.44  % --qbf_sk_in                           true
% 0.19/0.44  % --qbf_pred_elim                       true
% 0.19/0.44  % --qbf_split                           32
% 0.19/0.44  
% 0.19/0.44  % ------ BMC1 Options
% 0.19/0.44  
% 0.19/0.44  % --bmc1_incremental                    false
% 0.19/0.44  % --bmc1_axioms                         reachable_all
% 0.19/0.44  % --bmc1_min_bound                      0
% 0.19/0.44  % --bmc1_max_bound                      -1
% 0.19/0.44  % --bmc1_max_bound_default              -1
% 0.19/0.44  % --bmc1_symbol_reachability            true
% 0.19/0.44  % --bmc1_property_lemmas                false
% 0.19/0.44  % --bmc1_k_induction                    false
% 0.19/0.44  % --bmc1_non_equiv_states               false
% 0.19/0.44  % --bmc1_deadlock                       false
% 0.19/0.44  % --bmc1_ucm                            false
% 0.19/0.44  % --bmc1_add_unsat_core                 none
% 0.19/0.44  % --bmc1_unsat_core_children            false
% 0.19/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.44  % --bmc1_out_stat                       full
% 0.19/0.44  % --bmc1_ground_init                    false
% 0.19/0.44  % --bmc1_pre_inst_next_state            false
% 0.19/0.44  % --bmc1_pre_inst_state                 false
% 0.19/0.44  % --bmc1_pre_inst_reach_state           false
% 0.19/0.44  % --bmc1_out_unsat_core                 false
% 0.19/0.44  % --bmc1_aig_witness_out                false
% 0.19/0.44  % --bmc1_verbose                        false
% 0.19/0.44  % --bmc1_dump_clauses_tptp              false
% 0.19/0.49  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.49  % --bmc1_dump_file                      -
% 0.19/0.49  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.49  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.49  % --bmc1_ucm_extend_mode                1
% 0.19/0.49  % --bmc1_ucm_init_mode                  2
% 0.19/0.49  % --bmc1_ucm_cone_mode                  none
% 0.19/0.49  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.49  % --bmc1_ucm_relax_model                4
% 0.19/0.49  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.49  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.49  % --bmc1_ucm_layered_model              none
% 0.19/0.49  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.49  
% 0.19/0.49  % ------ AIG Options
% 0.19/0.49  
% 0.19/0.49  % --aig_mode                            false
% 0.19/0.49  
% 0.19/0.49  % ------ Instantiation Options
% 0.19/0.49  
% 0.19/0.49  % --instantiation_flag                  true
% 0.19/0.49  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.49  % --inst_solver_per_active              750
% 0.19/0.49  % --inst_solver_calls_frac              0.5
% 0.19/0.49  % --inst_passive_queue_type             priority_queues
% 0.19/0.49  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.49  % --inst_passive_queues_freq            [25;2]
% 0.19/0.49  % --inst_dismatching                    true
% 0.19/0.49  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.49  % --inst_prop_sim_given                 true
% 0.19/0.49  % --inst_prop_sim_new                   false
% 0.19/0.49  % --inst_orphan_elimination             true
% 0.19/0.49  % --inst_learning_loop_flag             true
% 0.19/0.49  % --inst_learning_start                 3000
% 0.19/0.49  % --inst_learning_factor                2
% 0.19/0.49  % --inst_start_prop_sim_after_learn     3
% 0.19/0.49  % --inst_sel_renew                      solver
% 0.19/0.49  % --inst_lit_activity_flag              true
% 0.19/0.49  % --inst_out_proof                      true
% 0.19/0.49  
% 0.19/0.49  % ------ Resolution Options
% 0.19/0.49  
% 0.19/0.49  % --resolution_flag                     true
% 0.19/0.49  % --res_lit_sel                         kbo_max
% 0.19/0.49  % --res_to_prop_solver                  none
% 0.19/0.49  % --res_prop_simpl_new                  false
% 0.19/0.49  % --res_prop_simpl_given                false
% 0.19/0.49  % --res_passive_queue_type              priority_queues
% 0.19/0.49  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.50  % --res_passive_queues_freq             [15;5]
% 0.19/0.50  % --res_forward_subs                    full
% 0.19/0.50  % --res_backward_subs                   full
% 0.19/0.50  % --res_forward_subs_resolution         true
% 0.19/0.50  % --res_backward_subs_resolution        true
% 0.19/0.50  % --res_orphan_elimination              false
% 0.19/0.50  % --res_time_limit                      1000.
% 0.19/0.50  % --res_out_proof                       true
% 0.19/0.50  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_691f97.s
% 0.19/0.50  % --modulo                              true
% 0.19/0.50  
% 0.19/0.50  % ------ Combination Options
% 0.19/0.50  
% 0.19/0.50  % --comb_res_mult                       1000
% 0.19/0.50  % --comb_inst_mult                      300
% 0.19/0.50  % ------ 
% 0.19/0.50  
% 0.19/0.50  % ------ Parsing...% successful
% 0.19/0.50  
% 0.19/0.50  % ------ 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 % 
% 0.19/0.50  
% 0.19/0.50  % ------ Proving...
% 0.19/0.50  % ------ Problem Properties 
% 0.19/0.50  
% 0.19/0.50  % 
% 0.19/0.50  % EPR                                   false
% 0.19/0.50  % Horn                                  false
% 0.19/0.50  % Has equality                          true
% 0.19/0.50  
% 0.19/0.50  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  % % ------ Current options:
% 0.19/0.50  
% 0.19/0.50  % ------ Input Options
% 0.19/0.50  
% 0.19/0.50  % --out_options                         all
% 0.19/0.50  % --tptp_safe_out                       true
% 0.19/0.50  % --problem_path                        ""
% 0.19/0.50  % --include_path                        ""
% 0.19/0.50  % --clausifier                          .//eprover
% 0.19/0.50  % --clausifier_options                  --tstp-format  
% 0.19/0.50  % --stdin                               false
% 0.19/0.50  % --dbg_backtrace                       false
% 0.19/0.50  % --dbg_dump_prop_clauses               false
% 0.19/0.50  % --dbg_dump_prop_clauses_file          -
% 0.19/0.50  % --dbg_out_stat                        false
% 0.19/0.50  
% 0.19/0.50  % ------ General Options
% 0.19/0.50  
% 0.19/0.50  % --fof                                 false
% 0.19/0.50  % --time_out_real                       150.
% 0.19/0.50  % --time_out_prep_mult                  0.2
% 0.19/0.50  % --time_out_virtual                    -1.
% 0.19/0.50  % --schedule                            none
% 0.19/0.50  % --ground_splitting                    input
% 0.19/0.50  % --splitting_nvd                       16
% 0.19/0.50  % --non_eq_to_eq                        false
% 0.19/0.50  % --prep_gs_sim                         true
% 0.19/0.50  % --prep_unflatten                      false
% 0.19/0.50  % --prep_res_sim                        true
% 0.19/0.50  % --prep_upred                          true
% 0.19/0.50  % --res_sim_input                       true
% 0.19/0.50  % --clause_weak_htbl                    true
% 0.19/0.50  % --gc_record_bc_elim                   false
% 0.19/0.50  % --symbol_type_check                   false
% 0.19/0.50  % --clausify_out                        false
% 0.19/0.50  % --large_theory_mode                   false
% 0.19/0.50  % --prep_sem_filter                     none
% 0.19/0.50  % --prep_sem_filter_out                 false
% 0.19/0.50  % --preprocessed_out                    false
% 0.19/0.50  % --sub_typing                          false
% 0.19/0.50  % --brand_transform                     false
% 0.19/0.50  % --pure_diseq_elim                     true
% 0.19/0.50  % --min_unsat_core                      false
% 0.19/0.50  % --pred_elim                           true
% 0.19/0.50  % --add_important_lit                   false
% 0.19/0.50  % --soft_assumptions                    false
% 0.19/0.50  % --reset_solvers                       false
% 0.19/0.50  % --bc_imp_inh                          []
% 0.19/0.50  % --conj_cone_tolerance                 1.5
% 0.19/0.50  % --prolific_symb_bound                 500
% 0.19/0.50  % --lt_threshold                        2000
% 0.19/0.50  
% 0.19/0.50  % ------ SAT Options
% 0.19/0.50  
% 0.19/0.50  % --sat_mode                            false
% 0.19/0.50  % --sat_fm_restart_options              ""
% 0.19/0.50  % --sat_gr_def                          false
% 0.19/0.50  % --sat_epr_types                       true
% 0.19/0.50  % --sat_non_cyclic_types                false
% 0.19/0.50  % --sat_finite_models                   false
% 0.19/0.50  % --sat_fm_lemmas                       false
% 0.19/0.50  % --sat_fm_prep                         false
% 0.19/0.50  % --sat_fm_uc_incr                      true
% 0.19/0.50  % --sat_out_model                       small
% 0.19/0.50  % --sat_out_clauses                     false
% 0.19/0.50  
% 0.19/0.50  % ------ QBF Options
% 0.19/0.50  
% 0.19/0.50  % --qbf_mode                            false
% 0.19/0.50  % --qbf_elim_univ                       true
% 0.19/0.50  % --qbf_sk_in                           true
% 0.19/0.50  % --qbf_pred_elim                       true
% 0.19/0.50  % --qbf_split                           32
% 0.19/0.50  
% 0.19/0.50  % ------ BMC1 Options
% 0.19/0.50  
% 0.19/0.50  % --bmc1_incremental                    false
% 0.19/0.50  % --bmc1_axioms                         reachable_all
% 0.19/0.50  % --bmc1_min_bound                      0
% 0.19/0.50  % --bmc1_max_bound                      -1
% 0.19/0.50  % --bmc1_max_bound_default              -1
% 0.19/0.50  % --bmc1_symbol_reachability            true
% 0.19/0.50  % --bmc1_property_lemmas                false
% 0.19/0.50  % --bmc1_k_induction                    false
% 0.19/0.50  % --bmc1_non_equiv_states               false
% 0.19/0.50  % --bmc1_deadlock                       false
% 0.19/0.50  % --bmc1_ucm                            false
% 0.19/0.50  % --bmc1_add_unsat_core                 none
% 0.19/0.50  % --bmc1_unsat_core_children            false
% 0.19/0.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.50  % --bmc1_out_stat                       full
% 0.19/0.50  % --bmc1_ground_init                    false
% 0.19/0.50  % --bmc1_pre_inst_next_state            false
% 0.19/0.50  % --bmc1_pre_inst_state                 false
% 0.19/0.50  % --bmc1_pre_inst_reach_state           false
% 0.19/0.50  % --bmc1_out_unsat_core                 false
% 0.19/0.50  % --bmc1_aig_witness_out                false
% 0.19/0.50  % --bmc1_verbose                        false
% 0.19/0.50  % --bmc1_dump_clauses_tptp              false
% 0.19/0.50  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.50  % --bmc1_dump_file                      -
% 0.19/0.50  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.50  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.50  % --bmc1_ucm_extend_mode                1
% 0.19/0.50  % --bmc1_ucm_init_mode                  2
% 0.19/0.50  % --bmc1_ucm_cone_mode                  none
% 0.19/0.50  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.50  % --bmc1_ucm_relax_model                4
% 0.19/0.50  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.50  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.50  % --bmc1_ucm_layered_model              none
% 0.19/0.50  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.50  
% 0.19/0.50  % ------ AIG Options
% 0.19/0.50  
% 0.19/0.50  % --aig_mode                            false
% 0.19/0.50  
% 0.19/0.50  % ------ Instantiation Options
% 0.19/0.50  
% 0.19/0.50  % --instantiation_flag                  true
% 0.19/0.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.50  % --inst_solver_per_active              750
% 0.19/0.50  % --inst_solver_calls_frac              0.5
% 0.19/0.50  % --inst_passive_queue_type             priority_queues
% 0.19/0.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.50  % --inst_passive_queues_freq            [25;2]
% 0.19/0.50  % --inst_dismatching                    true
% 0.19/0.50  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.50  % --inst_prop_sim_given                 true
% 150.23/150.44  % --inst_prop_sim_new                   false
% 150.23/150.44  % --inst_orphan_elimination             true
% 150.23/150.44  % --inst_learning_loop_flag             true
% 150.23/150.44  % --inst_learning_start                 3000
% 150.23/150.44  % --inst_learning_factor                2
% 150.23/150.44  % --inst_start_prop_sim_after_learn     3
% 150.23/150.44  % --inst_sel_renew                      solver
% 150.23/150.44  % --inst_lit_activity_flag              true
% 150.23/150.44  % --inst_out_proof                      true
% 150.23/150.44  
% 150.23/150.44  % ------ Resolution Options
% 150.23/150.44  
% 150.23/150.44  % --resolution_flag                     true
% 150.23/150.44  % --res_lit_sel                         kbo_max
% 150.23/150.44  % --res_to_prop_solver                  none
% 150.23/150.44  % --res_prop_simpl_new                  false
% 150.23/150.44  % --res_prop_simpl_given                false
% 150.23/150.44  % --res_passive_queue_type              priority_queues
% 150.23/150.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.23/150.44  % --res_passive_queues_freq             [15;5]
% 150.23/150.44  % --res_forward_subs                    full
% 150.23/150.44  % --res_backward_subs                   full
% 150.23/150.44  % --res_forward_subs_resolution         true
% 150.23/150.44  % --res_backward_subs_resolution        true
% 150.23/150.44  % --res_orphan_elimination              false
% 150.23/150.44  % --res_time_limit                      1000.
% 150.23/150.44  % --res_out_proof                       true
% 150.23/150.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_691f97.s
% 150.23/150.44  % --modulo                              true
% 150.23/150.44  
% 150.23/150.44  % ------ Combination Options
% 150.23/150.44  
% 150.23/150.44  % --comb_res_mult                       1000
% 150.23/150.44  % --comb_inst_mult                      300
% 150.23/150.44  % ------ 
% 150.23/150.44  
% 150.23/150.44  
% 150.23/150.44  
% 150.23/150.44  % ------ Proving...
% 150.23/150.44  % 
% 150.23/150.44  
% 150.23/150.44  
% 150.23/150.44  % Time Out Real
% 150.23/150.44  
% 150.23/150.44  % ------                             Statistics
% 150.23/150.44  
% 150.23/150.44  % ------ General
% 150.23/150.44  
% 150.23/150.44  % num_of_input_clauses:                 427
% 150.23/150.44  % num_of_input_neg_conjectures:         14
% 150.23/150.44  % num_of_splits:                        0
% 150.23/150.44  % num_of_split_atoms:                   0
% 150.23/150.44  % num_of_sem_filtered_clauses:          0
% 150.23/150.44  % num_of_subtypes:                      0
% 150.23/150.44  % monotx_restored_types:                0
% 150.23/150.44  % sat_num_of_epr_types:                 0
% 150.23/150.44  % sat_num_of_non_cyclic_types:          0
% 150.23/150.44  % sat_guarded_non_collapsed_types:      0
% 150.23/150.44  % is_epr:                               0
% 150.23/150.44  % is_horn:                              0
% 150.23/150.44  % has_eq:                               1
% 150.23/150.44  % num_pure_diseq_elim:                  0
% 150.23/150.44  % simp_replaced_by:                     0
% 150.23/150.44  % res_preprocessed:                     28
% 150.23/150.44  % prep_upred:                           0
% 150.23/150.44  % prep_unflattend:                      0
% 150.23/150.44  % pred_elim_cands:                      0
% 150.23/150.44  % pred_elim:                            0
% 150.23/150.44  % pred_elim_cl:                         0
% 150.23/150.44  % pred_elim_cycles:                     0
% 150.23/150.44  % forced_gc_time:                       0
% 150.23/150.44  % gc_basic_clause_elim:                 0
% 150.23/150.44  % parsing_time:                         0.027
% 150.23/150.44  % sem_filter_time:                      0.
% 150.23/150.44  % pred_elim_time:                       0.
% 150.23/150.44  % out_proof_time:                       0.
% 150.23/150.44  % monotx_time:                          0.
% 150.23/150.44  % subtype_inf_time:                     0.
% 150.23/150.44  % unif_index_cands_time:                0.03
% 150.23/150.44  % unif_index_add_time:                  0.014
% 150.23/150.44  % total_time:                           150.016
% 150.23/150.44  % num_of_symbols:                       91
% 150.23/150.44  % num_of_terms:                         361009
% 150.23/150.44  
% 150.23/150.44  % ------ Propositional Solver
% 150.23/150.44  
% 150.23/150.44  % prop_solver_calls:                    8
% 150.23/150.44  % prop_fast_solver_calls:               42
% 150.23/150.44  % prop_num_of_clauses:                  5639
% 150.23/150.44  % prop_preprocess_simplified:           8643
% 150.23/150.44  % prop_fo_subsumed:                     0
% 150.23/150.44  % prop_solver_time:                     0.001
% 150.23/150.44  % prop_fast_solver_time:                0.
% 150.23/150.44  % prop_unsat_core_time:                 0.
% 150.23/150.44  
% 150.23/150.44  % ------ QBF 
% 150.23/150.44  
% 150.23/150.44  % qbf_q_res:                            0
% 150.23/150.44  % qbf_num_tautologies:                  0
% 150.23/150.44  % qbf_prep_cycles:                      0
% 150.23/150.44  
% 150.23/150.44  % ------ BMC1
% 150.23/150.44  
% 150.23/150.44  % bmc1_current_bound:                   -1
% 150.23/150.44  % bmc1_last_solved_bound:               -1
% 150.23/150.44  % bmc1_unsat_core_size:                 -1
% 150.23/150.44  % bmc1_unsat_core_parents_size:         -1
% 150.23/150.44  % bmc1_merge_next_fun:                  0
% 150.23/150.44  % bmc1_unsat_core_clauses_time:         0.
% 150.23/150.44  
% 150.23/150.44  % ------ Instantiation
% 150.23/150.44  
% 150.23/150.44  % inst_num_of_clauses:                  3632
% 150.23/150.44  % inst_num_in_passive:                  1199
% 150.23/150.44  % inst_num_in_active:                   1916
% 150.23/150.44  % inst_num_in_unprocessed:              478
% 150.23/150.44  % inst_num_of_loops:                    2100
% 150.23/150.44  % inst_num_of_learning_restarts:        0
% 150.23/150.44  % inst_num_moves_active_passive:        144
% 150.23/150.44  % inst_lit_activity:                    519
% 150.23/150.44  % inst_lit_activity_moves:              1
% 150.23/150.44  % inst_num_tautologies:                 39
% 150.23/150.44  % inst_num_prop_implied:                0
% 150.23/150.44  % inst_num_existing_simplified:         0
% 150.23/150.44  % inst_num_eq_res_simplified:           0
% 150.23/150.44  % inst_num_child_elim:                  0
% 150.23/150.44  % inst_num_of_dismatching_blockings:    3488
% 150.23/150.44  % inst_num_of_non_proper_insts:         3810
% 150.23/150.44  % inst_num_of_duplicates:               1470
% 150.23/150.44  % inst_inst_num_from_inst_to_res:       0
% 150.23/150.44  % inst_dismatching_checking_time:       0.006
% 150.23/150.44  
% 150.23/150.44  % ------ Resolution
% 150.23/150.44  
% 150.23/150.44  % res_num_of_clauses:                   182000
% 150.23/150.44  % res_num_in_passive:                   177713
% 150.23/150.44  % res_num_in_active:                    3921
% 150.23/150.44  % res_num_of_loops:                     7809
% 150.23/150.44  % res_forward_subset_subsumed:          2086
% 150.23/150.44  % res_backward_subset_subsumed:         23
% 150.23/150.44  % res_forward_subsumed:                 3536
% 150.23/150.44  % res_backward_subsumed:                456
% 150.23/150.44  % res_forward_subsumption_resolution:   4353
% 150.23/150.44  % res_backward_subsumption_resolution:  41
% 150.23/150.44  % res_clause_to_clause_subsumption:     84406
% 150.23/150.44  % res_orphan_elimination:               0
% 150.23/150.44  % res_tautology_del:                    1418
% 150.23/150.44  % res_num_eq_res_simplified:            0
% 150.23/150.44  % res_num_sel_changes:                  0
% 150.23/150.44  % res_moves_from_active_to_pass:        0
% 150.23/150.44  
% 150.23/150.44  % Status Unknown
% 150.31/150.50  % Orienting using strategy ClausalAll
% 150.31/150.50  % FOF problem with conjecture
% 150.31/150.50  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_691f97.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b2ccd2.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f18615 | grep -v "SZS"
% 150.31/150.51  
% 150.31/150.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.31/150.51  
% 150.31/150.51  % 
% 150.31/150.51  % ------  iProver source info 
% 150.31/150.51  
% 150.31/150.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.31/150.51  % git: non_committed_changes: true
% 150.31/150.51  % git: last_make_outside_of_git: true
% 150.31/150.51  
% 150.31/150.51  % 
% 150.31/150.51  % ------ Input Options
% 150.31/150.51  
% 150.31/150.51  % --out_options                         all
% 150.31/150.51  % --tptp_safe_out                       true
% 150.31/150.51  % --problem_path                        ""
% 150.31/150.51  % --include_path                        ""
% 150.31/150.51  % --clausifier                          .//eprover
% 150.31/150.51  % --clausifier_options                  --tstp-format  
% 150.31/150.51  % --stdin                               false
% 150.31/150.51  % --dbg_backtrace                       false
% 150.31/150.51  % --dbg_dump_prop_clauses               false
% 150.31/150.51  % --dbg_dump_prop_clauses_file          -
% 150.31/150.51  % --dbg_out_stat                        false
% 150.31/150.51  
% 150.31/150.51  % ------ General Options
% 150.31/150.51  
% 150.31/150.51  % --fof                                 false
% 150.31/150.51  % --time_out_real                       150.
% 150.31/150.51  % --time_out_prep_mult                  0.2
% 150.31/150.51  % --time_out_virtual                    -1.
% 150.31/150.51  % --schedule                            none
% 150.31/150.51  % --ground_splitting                    input
% 150.31/150.51  % --splitting_nvd                       16
% 150.31/150.51  % --non_eq_to_eq                        false
% 150.31/150.51  % --prep_gs_sim                         true
% 150.31/150.51  % --prep_unflatten                      false
% 150.31/150.51  % --prep_res_sim                        true
% 150.31/150.51  % --prep_upred                          true
% 150.31/150.51  % --res_sim_input                       true
% 150.31/150.51  % --clause_weak_htbl                    true
% 150.31/150.51  % --gc_record_bc_elim                   false
% 150.31/150.51  % --symbol_type_check                   false
% 150.31/150.51  % --clausify_out                        false
% 150.31/150.51  % --large_theory_mode                   false
% 150.31/150.51  % --prep_sem_filter                     none
% 150.31/150.51  % --prep_sem_filter_out                 false
% 150.31/150.51  % --preprocessed_out                    false
% 150.31/150.51  % --sub_typing                          false
% 150.31/150.51  % --brand_transform                     false
% 150.31/150.51  % --pure_diseq_elim                     true
% 150.31/150.51  % --min_unsat_core                      false
% 150.31/150.51  % --pred_elim                           true
% 150.31/150.51  % --add_important_lit                   false
% 150.31/150.51  % --soft_assumptions                    false
% 150.31/150.52  % --reset_solvers                       false
% 150.31/150.52  % --bc_imp_inh                          []
% 150.31/150.52  % --conj_cone_tolerance                 1.5
% 150.31/150.52  % --prolific_symb_bound                 500
% 150.31/150.52  % --lt_threshold                        2000
% 150.31/150.52  
% 150.31/150.52  % ------ SAT Options
% 150.31/150.52  
% 150.31/150.52  % --sat_mode                            false
% 150.31/150.52  % --sat_fm_restart_options              ""
% 150.31/150.52  % --sat_gr_def                          false
% 150.31/150.52  % --sat_epr_types                       true
% 150.31/150.52  % --sat_non_cyclic_types                false
% 150.31/150.52  % --sat_finite_models                   false
% 150.31/150.52  % --sat_fm_lemmas                       false
% 150.31/150.52  % --sat_fm_prep                         false
% 150.31/150.52  % --sat_fm_uc_incr                      true
% 150.31/150.52  % --sat_out_model                       small
% 150.31/150.52  % --sat_out_clauses                     false
% 150.31/150.52  
% 150.31/150.52  % ------ QBF Options
% 150.31/150.52  
% 150.31/150.52  % --qbf_mode                            false
% 150.31/150.52  % --qbf_elim_univ                       true
% 150.31/150.52  % --qbf_sk_in                           true
% 150.31/150.52  % --qbf_pred_elim                       true
% 150.31/150.52  % --qbf_split                           32
% 150.31/150.52  
% 150.31/150.52  % ------ BMC1 Options
% 150.31/150.52  
% 150.31/150.52  % --bmc1_incremental                    false
% 150.31/150.52  % --bmc1_axioms                         reachable_all
% 150.31/150.52  % --bmc1_min_bound                      0
% 150.31/150.52  % --bmc1_max_bound                      -1
% 150.31/150.52  % --bmc1_max_bound_default              -1
% 150.31/150.52  % --bmc1_symbol_reachability            true
% 150.31/150.52  % --bmc1_property_lemmas                false
% 150.31/150.52  % --bmc1_k_induction                    false
% 150.31/150.52  % --bmc1_non_equiv_states               false
% 150.31/150.52  % --bmc1_deadlock                       false
% 150.31/150.52  % --bmc1_ucm                            false
% 150.31/150.52  % --bmc1_add_unsat_core                 none
% 150.31/150.52  % --bmc1_unsat_core_children            false
% 150.31/150.52  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.31/150.52  % --bmc1_out_stat                       full
% 150.31/150.52  % --bmc1_ground_init                    false
% 150.31/150.52  % --bmc1_pre_inst_next_state            false
% 150.31/150.52  % --bmc1_pre_inst_state                 false
% 150.31/150.52  % --bmc1_pre_inst_reach_state           false
% 150.31/150.52  % --bmc1_out_unsat_core                 false
% 150.31/150.52  % --bmc1_aig_witness_out                false
% 150.31/150.52  % --bmc1_verbose                        false
% 150.31/150.52  % --bmc1_dump_clauses_tptp              false
% 150.31/150.55  % --bmc1_dump_unsat_core_tptp           false
% 150.31/150.55  % --bmc1_dump_file                      -
% 150.31/150.55  % --bmc1_ucm_expand_uc_limit            128
% 150.31/150.55  % --bmc1_ucm_n_expand_iterations        6
% 150.31/150.55  % --bmc1_ucm_extend_mode                1
% 150.31/150.55  % --bmc1_ucm_init_mode                  2
% 150.31/150.55  % --bmc1_ucm_cone_mode                  none
% 150.31/150.55  % --bmc1_ucm_reduced_relation_type      0
% 150.31/150.55  % --bmc1_ucm_relax_model                4
% 150.31/150.55  % --bmc1_ucm_full_tr_after_sat          true
% 150.31/150.55  % --bmc1_ucm_expand_neg_assumptions     false
% 150.31/150.55  % --bmc1_ucm_layered_model              none
% 150.31/150.55  % --bmc1_ucm_max_lemma_size             10
% 150.31/150.55  
% 150.31/150.55  % ------ AIG Options
% 150.31/150.55  
% 150.31/150.55  % --aig_mode                            false
% 150.31/150.55  
% 150.31/150.55  % ------ Instantiation Options
% 150.31/150.55  
% 150.31/150.55  % --instantiation_flag                  true
% 150.31/150.55  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.31/150.55  % --inst_solver_per_active              750
% 150.31/150.55  % --inst_solver_calls_frac              0.5
% 150.31/150.55  % --inst_passive_queue_type             priority_queues
% 150.31/150.55  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.31/150.55  % --inst_passive_queues_freq            [25;2]
% 150.31/150.55  % --inst_dismatching                    true
% 150.31/150.55  % --inst_eager_unprocessed_to_passive   true
% 150.31/150.55  % --inst_prop_sim_given                 true
% 150.31/150.55  % --inst_prop_sim_new                   false
% 150.31/150.55  % --inst_orphan_elimination             true
% 150.31/150.55  % --inst_learning_loop_flag             true
% 150.31/150.55  % --inst_learning_start                 3000
% 150.31/150.55  % --inst_learning_factor                2
% 150.31/150.55  % --inst_start_prop_sim_after_learn     3
% 150.31/150.55  % --inst_sel_renew                      solver
% 150.31/150.55  % --inst_lit_activity_flag              true
% 150.31/150.55  % --inst_out_proof                      true
% 150.31/150.55  
% 150.31/150.55  % ------ Resolution Options
% 150.31/150.55  
% 150.31/150.55  % --resolution_flag                     true
% 150.31/150.55  % --res_lit_sel                         kbo_max
% 150.31/150.55  % --res_to_prop_solver                  none
% 150.31/150.55  % --res_prop_simpl_new                  false
% 150.31/150.55  % --res_prop_simpl_given                false
% 150.31/150.55  % --res_passive_queue_type              priority_queues
% 150.31/150.55  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.31/150.55  % --res_passive_queues_freq             [15;5]
% 150.31/150.55  % --res_forward_subs                    full
% 150.31/150.55  % --res_backward_subs                   full
% 150.31/150.55  % --res_forward_subs_resolution         true
% 150.31/150.55  % --res_backward_subs_resolution        true
% 150.31/150.55  % --res_orphan_elimination              false
% 150.31/150.55  % --res_time_limit                      1000.
% 150.31/150.55  % --res_out_proof                       true
% 150.31/150.55  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_691f97.s
% 150.31/150.55  % --modulo                              true
% 150.31/150.55  
% 150.31/150.55  % ------ Combination Options
% 150.31/150.55  
% 150.31/150.55  % --comb_res_mult                       1000
% 150.31/150.55  % --comb_inst_mult                      300
% 150.31/150.55  % ------ 
% 150.31/150.55  
% 150.31/150.55  % ------ Parsing...% successful
% 150.31/150.55  
% 150.31/150.55  % ------ 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 % 
% 150.31/150.55  
% 150.31/150.55  % ------ Proving...
% 150.31/150.55  % ------ Problem Properties 
% 150.31/150.55  
% 150.31/150.55  % 
% 150.31/150.55  % EPR                                   false
% 150.31/150.55  % Horn                                  false
% 150.31/150.55  % Has equality                          true
% 150.31/150.55  
% 150.31/150.55  % % ------ Input Options Time Limit: Unbounded
% 150.31/150.55  
% 150.31/150.55  
% 150.31/150.55  % % ------ Current options:
% 150.31/150.55  
% 150.31/150.55  % ------ Input Options
% 150.31/150.55  
% 150.31/150.55  % --out_options                         all
% 150.31/150.55  % --tptp_safe_out                       true
% 150.31/150.55  % --problem_path                        ""
% 150.31/150.55  % --include_path                        ""
% 150.31/150.55  % --clausifier                          .//eprover
% 150.31/150.55  % --clausifier_options                  --tstp-format  
% 150.31/150.55  % --stdin                               false
% 150.31/150.55  % --dbg_backtrace                       false
% 150.31/150.55  % --dbg_dump_prop_clauses               false
% 150.31/150.55  % --dbg_dump_prop_clauses_file          -
% 150.31/150.55  % --dbg_out_stat                        false
% 150.31/150.55  
% 150.31/150.55  % ------ General Options
% 150.31/150.55  
% 150.31/150.55  % --fof                                 false
% 150.31/150.55  % --time_out_real                       150.
% 150.31/150.55  % --time_out_prep_mult                  0.2
% 150.31/150.55  % --time_out_virtual                    -1.
% 150.31/150.55  % --schedule                            none
% 150.31/150.55  % --ground_splitting                    input
% 150.31/150.55  % --splitting_nvd                       16
% 150.31/150.55  % --non_eq_to_eq                        false
% 150.31/150.55  % --prep_gs_sim                         true
% 150.31/150.55  % --prep_unflatten                      false
% 150.31/150.55  % --prep_res_sim                        true
% 150.31/150.55  % --prep_upred                          true
% 150.31/150.55  % --res_sim_input                       true
% 150.31/150.55  % --clause_weak_htbl                    true
% 150.31/150.55  % --gc_record_bc_elim                   false
% 150.31/150.55  % --symbol_type_check                   false
% 150.31/150.55  % --clausify_out                        false
% 150.31/150.55  % --large_theory_mode                   false
% 150.31/150.55  % --prep_sem_filter                     none
% 150.31/150.55  % --prep_sem_filter_out                 false
% 150.31/150.55  % --preprocessed_out                    false
% 150.31/150.55  % --sub_typing                          false
% 150.31/150.55  % --brand_transform                     false
% 150.31/150.55  % --pure_diseq_elim                     true
% 150.31/150.55  % --min_unsat_core                      false
% 150.31/150.55  % --pred_elim                           true
% 150.31/150.55  % --add_important_lit                   false
% 150.31/150.55  % --soft_assumptions                    false
% 150.31/150.55  % --reset_solvers                       false
% 150.31/150.55  % --bc_imp_inh                          []
% 150.31/150.55  % --conj_cone_tolerance                 1.5
% 150.31/150.55  % --prolific_symb_bound                 500
% 150.31/150.55  % --lt_threshold                        2000
% 150.31/150.55  
% 150.31/150.55  % ------ SAT Options
% 150.31/150.55  
% 150.31/150.55  % --sat_mode                            false
% 150.31/150.55  % --sat_fm_restart_options              ""
% 150.31/150.55  % --sat_gr_def                          false
% 150.31/150.55  % --sat_epr_types                       true
% 150.31/150.55  % --sat_non_cyclic_types                false
% 150.31/150.55  % --sat_finite_models                   false
% 150.31/150.55  % --sat_fm_lemmas                       false
% 150.31/150.55  % --sat_fm_prep                         false
% 150.31/150.55  % --sat_fm_uc_incr                      true
% 150.31/150.55  % --sat_out_model                       small
% 150.31/150.55  % --sat_out_clauses                     false
% 150.31/150.55  
% 150.31/150.55  % ------ QBF Options
% 150.31/150.55  
% 150.31/150.55  % --qbf_mode                            false
% 150.31/150.55  % --qbf_elim_univ                       true
% 150.31/150.55  % --qbf_sk_in                           true
% 150.31/150.55  % --qbf_pred_elim                       true
% 150.31/150.55  % --qbf_split                           32
% 150.31/150.55  
% 150.31/150.55  % ------ BMC1 Options
% 150.31/150.55  
% 150.31/150.55  % --bmc1_incremental                    false
% 150.31/150.55  % --bmc1_axioms                         reachable_all
% 150.31/150.55  % --bmc1_min_bound                      0
% 150.31/150.55  % --bmc1_max_bound                      -1
% 150.31/150.55  % --bmc1_max_bound_default              -1
% 150.31/150.55  % --bmc1_symbol_reachability            true
% 150.31/150.55  % --bmc1_property_lemmas                false
% 150.31/150.55  % --bmc1_k_induction                    false
% 150.31/150.55  % --bmc1_non_equiv_states               false
% 150.31/150.55  % --bmc1_deadlock                       false
% 150.31/150.55  % --bmc1_ucm                            false
% 150.31/150.55  % --bmc1_add_unsat_core                 none
% 150.31/150.55  % --bmc1_unsat_core_children            false
% 150.31/150.55  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.31/150.55  % --bmc1_out_stat                       full
% 150.31/150.55  % --bmc1_ground_init                    false
% 150.31/150.55  % --bmc1_pre_inst_next_state            false
% 150.31/150.55  % --bmc1_pre_inst_state                 false
% 150.31/150.55  % --bmc1_pre_inst_reach_state           false
% 150.31/150.55  % --bmc1_out_unsat_core                 false
% 150.31/150.55  % --bmc1_aig_witness_out                false
% 150.31/150.55  % --bmc1_verbose                        false
% 150.31/150.55  % --bmc1_dump_clauses_tptp              false
% 150.31/150.55  % --bmc1_dump_unsat_core_tptp           false
% 150.31/150.55  % --bmc1_dump_file                      -
% 150.31/150.55  % --bmc1_ucm_expand_uc_limit            128
% 150.31/150.55  % --bmc1_ucm_n_expand_iterations        6
% 150.31/150.55  % --bmc1_ucm_extend_mode                1
% 150.31/150.55  % --bmc1_ucm_init_mode                  2
% 150.31/150.55  % --bmc1_ucm_cone_mode                  none
% 150.31/150.55  % --bmc1_ucm_reduced_relation_type      0
% 150.31/150.55  % --bmc1_ucm_relax_model                4
% 150.31/150.55  % --bmc1_ucm_full_tr_after_sat          true
% 150.31/150.55  % --bmc1_ucm_expand_neg_assumptions     false
% 150.31/150.55  % --bmc1_ucm_layered_model              none
% 150.31/150.55  % --bmc1_ucm_max_lemma_size             10
% 150.31/150.55  
% 150.31/150.55  % ------ AIG Options
% 150.31/150.55  
% 150.31/150.55  % --aig_mode                            false
% 150.31/150.55  
% 150.31/150.55  % ------ Instantiation Options
% 150.31/150.55  
% 150.31/150.55  % --instantiation_flag                  true
% 150.31/150.55  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.31/150.55  % --inst_solver_per_active              750
% 150.31/150.55  % --inst_solver_calls_frac              0.5
% 150.31/150.55  % --inst_passive_queue_type             priority_queues
% 150.31/150.55  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.31/150.55  % --inst_passive_queues_freq            [25;2]
% 150.31/150.55  % --inst_dismatching                    true
% 150.31/150.55  % --inst_eager_unprocessed_to_passive   true
% 150.31/150.55  % --inst_prop_sim_given                 true
% 150.35/150.85  % --inst_prop_sim_new                   false
% 150.35/150.85  % --inst_orphan_elimination             true
% 150.35/150.85  % --inst_learning_loop_flag             true
% 150.35/150.85  % --inst_learning_start                 3000
% 150.35/150.85  % --inst_learning_factor                2
% 150.35/150.85  % --inst_start_prop_sim_after_learn     3
% 150.35/150.85  % --inst_sel_renew                      solver
% 150.35/150.85  % --inst_lit_activity_flag              true
% 150.35/150.85  % --inst_out_proof                      true
% 150.35/150.85  
% 150.35/150.85  % ------ Resolution Options
% 150.35/150.85  
% 150.35/150.85  % --resolution_flag                     true
% 150.35/150.85  % --res_lit_sel                         kbo_max
% 150.35/150.85  % --res_to_prop_solver                  none
% 150.35/150.85  % --res_prop_simpl_new                  false
% 150.35/150.85  % --res_prop_simpl_given                false
% 150.35/150.85  % --res_passive_queue_type              priority_queues
% 150.35/150.85  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.35/150.85  % --res_passive_queues_freq             [15;5]
% 150.35/150.85  % --res_forward_subs                    full
% 150.35/150.85  % --res_backward_subs                   full
% 150.35/150.85  % --res_forward_subs_resolution         true
% 150.35/150.85  % --res_backward_subs_resolution        true
% 150.35/150.85  % --res_orphan_elimination              false
% 150.35/150.85  % --res_time_limit                      1000.
% 150.35/150.85  % --res_out_proof                       true
% 150.35/150.85  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_691f97.s
% 150.35/150.85  % --modulo                              true
% 150.35/150.85  
% 150.35/150.85  % ------ Combination Options
% 150.35/150.85  
% 150.35/150.85  % --comb_res_mult                       1000
% 150.35/150.85  % --comb_inst_mult                      300
% 150.35/150.85  % ------ 
% 150.35/150.85  
% 150.35/150.85  
% 150.35/150.85  
% 150.35/150.85  % ------ Proving...
% 150.35/150.85  % 
% 150.35/150.85  
% 150.35/150.85  
% 150.35/150.85  %  Resolution empty clause
% 150.35/150.85  
% 150.35/150.85  % ------                             Statistics
% 150.35/150.85  
% 150.35/150.85  % ------ General
% 150.35/150.85  
% 150.35/150.85  % num_of_input_clauses:                 477
% 150.35/150.85  % num_of_input_neg_conjectures:         14
% 150.35/150.85  % num_of_splits:                        0
% 150.35/150.85  % num_of_split_atoms:                   0
% 150.35/150.85  % num_of_sem_filtered_clauses:          0
% 150.35/150.85  % num_of_subtypes:                      0
% 150.35/150.85  % monotx_restored_types:                0
% 150.35/150.85  % sat_num_of_epr_types:                 0
% 150.35/150.85  % sat_num_of_non_cyclic_types:          0
% 150.35/150.85  % sat_guarded_non_collapsed_types:      0
% 150.35/150.85  % is_epr:                               0
% 150.35/150.85  % is_horn:                              0
% 150.35/150.85  % has_eq:                               1
% 150.35/150.85  % num_pure_diseq_elim:                  0
% 150.35/150.85  % simp_replaced_by:                     0
% 150.35/150.85  % res_preprocessed:                     28
% 150.35/150.85  % prep_upred:                           0
% 150.35/150.85  % prep_unflattend:                      0
% 150.35/150.85  % pred_elim_cands:                      0
% 150.35/150.85  % pred_elim:                            0
% 150.35/150.85  % pred_elim_cl:                         0
% 150.35/150.85  % pred_elim_cycles:                     0
% 150.35/150.85  % forced_gc_time:                       0
% 150.35/150.85  % gc_basic_clause_elim:                 0
% 150.35/150.85  % parsing_time:                         0.014
% 150.35/150.85  % sem_filter_time:                      0.
% 150.35/150.85  % pred_elim_time:                       0.
% 150.35/150.85  % out_proof_time:                       0.003
% 150.35/150.85  % monotx_time:                          0.
% 150.35/150.85  % subtype_inf_time:                     0.
% 150.35/150.85  % unif_index_cands_time:                0.
% 150.35/150.85  % unif_index_add_time:                  0.001
% 150.35/150.85  % total_time:                           0.339
% 150.35/150.85  % num_of_symbols:                       91
% 150.35/150.85  % num_of_terms:                         4629
% 150.35/150.85  
% 150.35/150.85  % ------ Propositional Solver
% 150.35/150.85  
% 150.35/150.85  % prop_solver_calls:                    1
% 150.35/150.85  % prop_fast_solver_calls:               42
% 150.35/150.85  % prop_num_of_clauses:                  229
% 150.35/150.85  % prop_preprocess_simplified:           1721
% 150.35/150.85  % prop_fo_subsumed:                     0
% 150.35/150.85  % prop_solver_time:                     0.
% 150.35/150.85  % prop_fast_solver_time:                0.
% 150.35/150.85  % prop_unsat_core_time:                 0.
% 150.35/150.85  
% 150.35/150.85  % ------ QBF 
% 150.35/150.85  
% 150.35/150.85  % qbf_q_res:                            0
% 150.35/150.85  % qbf_num_tautologies:                  0
% 150.35/150.85  % qbf_prep_cycles:                      0
% 150.35/150.85  
% 150.35/150.85  % ------ BMC1
% 150.35/150.85  
% 150.35/150.85  % bmc1_current_bound:                   -1
% 150.35/150.85  % bmc1_last_solved_bound:               -1
% 150.35/150.85  % bmc1_unsat_core_size:                 -1
% 150.35/150.85  % bmc1_unsat_core_parents_size:         -1
% 150.35/150.85  % bmc1_merge_next_fun:                  0
% 150.35/150.85  % bmc1_unsat_core_clauses_time:         0.
% 150.35/150.85  
% 150.35/150.85  % ------ Instantiation
% 150.35/150.85  
% 150.35/150.85  % inst_num_of_clauses:                  455
% 150.35/150.85  % inst_num_in_passive:                  0
% 150.35/150.85  % inst_num_in_active:                   0
% 150.35/150.85  % inst_num_in_unprocessed:              477
% 150.35/150.85  % inst_num_of_loops:                    0
% 150.35/150.85  % inst_num_of_learning_restarts:        0
% 150.35/150.85  % inst_num_moves_active_passive:        0
% 150.35/150.85  % inst_lit_activity:                    0
% 150.35/150.85  % inst_lit_activity_moves:              0
% 150.35/150.85  % inst_num_tautologies:                 0
% 150.35/150.85  % inst_num_prop_implied:                0
% 150.35/150.85  % inst_num_existing_simplified:         0
% 150.35/150.85  % inst_num_eq_res_simplified:           0
% 150.35/150.85  % inst_num_child_elim:                  0
% 150.35/150.85  % inst_num_of_dismatching_blockings:    0
% 150.35/150.85  % inst_num_of_non_proper_insts:         0
% 150.35/150.85  % inst_num_of_duplicates:               0
% 150.35/150.85  % inst_inst_num_from_inst_to_res:       0
% 150.35/150.85  % inst_dismatching_checking_time:       0.
% 150.35/150.85  
% 150.35/150.85  % ------ Resolution
% 150.35/150.85  
% 150.35/150.85  % res_num_of_clauses:                   2306
% 150.35/150.85  % res_num_in_passive:                   1311
% 150.35/150.85  % res_num_in_active:                    610
% 150.35/150.85  % res_num_of_loops:                     698
% 150.35/150.85  % res_forward_subset_subsumed:          473
% 150.35/150.85  % res_backward_subset_subsumed:         3
% 150.35/150.85  % res_forward_subsumed:                 175
% 150.35/150.85  % res_backward_subsumed:                64
% 150.35/150.85  % res_forward_subsumption_resolution:   1006
% 150.35/150.85  % res_backward_subsumption_resolution:  1
% 150.35/150.85  % res_clause_to_clause_subsumption:     3884
% 150.35/150.85  % res_orphan_elimination:               0
% 150.35/150.85  % res_tautology_del:                    143
% 150.35/150.85  % res_num_eq_res_simplified:            0
% 150.35/150.85  % res_num_sel_changes:                  0
% 150.35/150.85  % res_moves_from_active_to_pass:        0
% 150.35/150.85  
% 150.35/150.85  % Status Unsatisfiable
% 150.35/150.85  % SZS status Theorem
% 150.35/150.85  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------