↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT322+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 04:47:04 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  148 (  14 unt;   0 def)
%            Number of atoms       :  835 (  76 equ)
%            Maximal formula atoms :   80 (   5 avg)
%            Number of connectives : 1151 ( 464   ~; 507   |; 137   &)
%                                         (   7 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   36 (  34 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   2 con; 0-3 aty)
%            Number of variables   :  228 (  18 sgn 106   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t5_subset,axiom,
    ! [X1,X2,X3] :
      ~ ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3))
        & v1_xboole_0(X3) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t5_subset) ).

fof(dt_k7_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k7_filter_2) ).

fof(d6_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => k7_filter_2(X1,X2) = X2 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d6_filter_2) ).

fof(dt_m2_lattice4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_lattice4(X2,X1)
         => m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_m2_lattice4) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( m2_relset_1(X3,X1,X2)
    <=> m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_m2_relset_1) ).

fof(dt_u2_lattices,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('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_u2_lattices) ).

fof(free_g3_lattices,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('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',free_g3_lattices) ).

fof(dt_u1_lattices,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('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_u1_lattices) ).

fof(redefinition_m1_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_2(X2,X1)
        <=> m1_filter_0(X2,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_m1_filter_2) ).

fof(dt_k15_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m2_filter_2(X2,X1) )
     => m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k15_filter_2) ).

fof(fc6_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1))
        & v4_lattices(k1_lattice2(X1))
        & v5_lattices(k1_lattice2(X1))
        & v6_lattices(k1_lattice2(X1))
        & v7_lattices(k1_lattice2(X1))
        & v8_lattices(k1_lattice2(X1))
        & v9_lattices(k1_lattice2(X1))
        & v10_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fc6_lattice2) ).

fof(dt_k1_lattice2,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(k1_lattice2(X1))
        & l3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k1_lattice2) ).

fof(fc1_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fc1_lattice2) ).

fof(t58_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v17_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
         => ( ( X2 != k17_filter_2(X1)
              & v1_filter_2(X2,X1) )
          <=> r2_filter_2(X1,X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t58_filter_2) ).

fof(dt_m2_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
         => ( ~ v1_xboole_0(X2)
            & m2_lattice4(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_m2_filter_2) ).

fof(t58_filter_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v17_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_0(X2,X1)
         => ( ( X2 != k1_filter_0(X1)
              & v2_filter_0(X2,X1) )
          <=> v1_filter_0(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t58_filter_0) ).

fof(t33_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
         => ( r2_filter_2(X1,X2)
          <=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t33_filter_2) ).

fof(d8_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => k17_filter_2(X1) = u1_struct_0(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d8_filter_2) ).

fof(t2_subset,axiom,
    ! [X1,X2] :
      ( m1_subset_1(X1,X2)
     => ( v1_xboole_0(X2)
        | r2_hidden(X1,X2) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t2_subset) ).

fof(abstractness_v3_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( v3_lattices(X1)
       => X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',abstractness_v3_lattices) ).

fof(dt_l3_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( l1_lattices(X1)
        & l2_lattices(X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_l3_lattices) ).

fof(redefinition_k15_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m2_filter_2(X2,X1) )
     => k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_k15_filter_2) ).

fof(t44_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
         => ( v1_filter_2(X2,X1)
          <=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t44_filter_2) ).

fof(existence_m1_subset_1,axiom,
    ! [X1] :
    ? [X2] : m1_subset_1(X2,X1),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',existence_m1_subset_1) ).

fof(d2_lattice2,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d2_lattice2) ).

fof(fc3_lattices,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v1_xboole_0(X1)
        & v1_funct_1(X2)
        & v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
        & v1_funct_1(X3)
        & v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
        & m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
     => ( ~ v3_struct_0(g3_lattices(X1,X2,X3))
        & v3_lattices(g3_lattices(X1,X2,X3)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fc3_lattices) ).

fof(d2_filter_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => k1_filter_0(X1) = u1_struct_0(X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d2_filter_0) ).

fof(fc4_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v17_lattices(X1)
        & l3_lattices(X1) )
     => ( ~ v3_struct_0(k1_lattice2(X1))
        & v3_lattices(k1_lattice2(X1))
        & v4_lattices(k1_lattice2(X1))
        & v5_lattices(k1_lattice2(X1))
        & v6_lattices(k1_lattice2(X1))
        & v7_lattices(k1_lattice2(X1))
        & v8_lattices(k1_lattice2(X1))
        & v9_lattices(k1_lattice2(X1))
        & v10_lattices(k1_lattice2(X1))
        & v11_lattices(k1_lattice2(X1))
        & v12_lattices(k1_lattice2(X1))
        & v13_lattices(k1_lattice2(X1))
        & v14_lattices(k1_lattice2(X1))
        & v15_lattices(k1_lattice2(X1))
        & v16_lattices(k1_lattice2(X1))
        & v17_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fc4_filter_2) ).

fof(c_0_28,plain,
    ! [X4,X5,X6] :
      ( ~ r2_hidden(X4,X5)
      | ~ m1_subset_1(X5,k1_zfmisc_1(X6))
      | ~ v1_xboole_0(X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).

fof(c_0_29,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | m1_subset_1(k7_filter_2(X3,X4),k1_zfmisc_1(u1_struct_0(k1_lattice2(X3)))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k7_filter_2])])]) ).

fof(c_0_30,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | k7_filter_2(X3,X4) = X4 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d6_filter_2])])])])])]) ).

fof(c_0_31,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | ~ m2_lattice4(X4,X3)
      | m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_lattice4])])])])])]) ).

fof(c_0_32,plain,
    ! [X4,X5,X6,X4,X5,X6] :
      ( ( ~ m2_relset_1(X6,X4,X5)
        | m1_relset_1(X6,X4,X5) )
      & ( ~ m1_relset_1(X6,X4,X5)
        | m2_relset_1(X6,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).

fof(c_0_33,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)],[dt_u2_lattices])])]) ).

cnf(c_0_34,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    ( m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_36,plain,
    ( k7_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X2)
    | ~ m2_lattice4(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_38,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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])])]) ).

cnf(c_0_39,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,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_33]) ).

fof(c_0_41,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)],[dt_u1_lattices])])]) ).

fof(c_0_42,plain,
    ! [X3,X4,X4] :
      ( ( ~ m1_filter_2(X4,X3)
        | m1_filter_0(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ l3_lattices(X3) )
      & ( ~ m1_filter_0(X4,X3)
        | m1_filter_2(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ l3_lattices(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2])])])])])])]) ).

fof(c_0_43,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | ~ m2_filter_2(X4,X3)
      | m1_filter_2(k15_filter_2(X3,X4),k1_lattice2(X3)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k15_filter_2])])]) ).

fof(c_0_44,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v4_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v5_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v6_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v7_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v8_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v9_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v10_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc6_lattice2])])])]) ).

fof(c_0_45,plain,
    ! [X2] :
      ( ( v3_lattices(k1_lattice2(X2))
        | ~ l3_lattices(X2) )
      & ( l3_lattices(k1_lattice2(X2))
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).

fof(c_0_46,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ l3_lattices(X2) )
      & ( v3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice2])])])]) ).

fof(c_0_47,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v17_lattices(X1)
          & l3_lattices(X1) )
       => ! [X2] :
            ( m2_filter_2(X2,X1)
           => ( ( X2 != k17_filter_2(X1)
                & v1_filter_2(X2,X1) )
            <=> r2_filter_2(X1,X2) ) ) ),
    inference(assume_negation,[status(cth)],[t58_filter_2]) ).

cnf(c_0_48,plain,
    ( v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
    | ~ r2_hidden(X3,k7_filter_2(X1,X2))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_49,plain,
    ( k7_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_50,plain,
    ! [X3,X4] :
      ( ( ~ v1_xboole_0(X4)
        | ~ m2_filter_2(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ l3_lattices(X3) )
      & ( m2_lattice4(X4,X3)
        | ~ m2_filter_2(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ l3_lattices(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m2_filter_2])])])])])])]) ).

cnf(c_0_51,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_38]) ).

cnf(c_0_52,plain,
    ( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_53,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_54,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_33]) ).

cnf(c_0_55,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_41]) ).

fof(c_0_56,plain,
    ! [X3,X4] :
      ( ( X4 = k1_filter_0(X3)
        | ~ v2_filter_0(X4,X3)
        | v1_filter_0(X4,X3)
        | ~ m1_filter_0(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ v17_lattices(X3)
        | ~ l3_lattices(X3) )
      & ( X4 != k1_filter_0(X3)
        | ~ v1_filter_0(X4,X3)
        | ~ m1_filter_0(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ v17_lattices(X3)
        | ~ l3_lattices(X3) )
      & ( v2_filter_0(X4,X3)
        | ~ v1_filter_0(X4,X3)
        | ~ m1_filter_0(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ v17_lattices(X3)
        | ~ l3_lattices(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t58_filter_0])])])])])])]) ).

fof(c_0_57,plain,
    ! [X3,X4] :
      ( ( ~ r2_filter_2(X3,X4)
        | v1_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3))
        | ~ m2_filter_2(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ l3_lattices(X3) )
      & ( ~ v1_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3))
        | r2_filter_2(X3,X4)
        | ~ m2_filter_2(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ l3_lattices(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t33_filter_2])])])])])])]) ).

cnf(c_0_58,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_59,plain,
    ( m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_60,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_61,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_62,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_63,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & v17_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & m2_filter_2(esk2_0,esk1_0)
    & ( esk2_0 = k17_filter_2(esk1_0)
      | ~ v1_filter_2(esk2_0,esk1_0)
      | ~ r2_filter_2(esk1_0,esk2_0) )
    & ( esk2_0 != k17_filter_2(esk1_0)
      | r2_filter_2(esk1_0,esk2_0) )
    & ( v1_filter_2(esk2_0,esk1_0)
      | r2_filter_2(esk1_0,esk2_0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_47])])])])])])]) ).

fof(c_0_64,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v10_lattices(X2)
      | ~ l3_lattices(X2)
      | k17_filter_2(X2) = u1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d8_filter_2])])]) ).

cnf(c_0_65,plain,
    ( v3_struct_0(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
    | ~ r2_hidden(X3,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_37]) ).

cnf(c_0_66,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_67,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)],[t2_subset])]) ).

cnf(c_0_68,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3) != g3_lattices(X2,X4,X5)
    | ~ l2_lattices(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_1(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]) ).

cnf(c_0_69,plain,
    ( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_55]) ).

cnf(c_0_70,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_71,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_41]) ).

fof(c_0_72,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)],[abstractness_v3_lattices])]) ).

fof(c_0_73,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)],[dt_l3_lattices])])]) ).

fof(c_0_74,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | ~ m2_filter_2(X4,X3)
      | k15_filter_2(X3,X4) = k7_filter_2(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2])])]) ).

fof(c_0_75,plain,
    ! [X3,X4] :
      ( ( ~ v1_filter_2(X4,X3)
        | v2_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3))
        | ~ m2_filter_2(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ l3_lattices(X3) )
      & ( ~ v2_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3))
        | v1_filter_2(X4,X3)
        | ~ m2_filter_2(X4,X3)
        | v3_struct_0(X3)
        | ~ v10_lattices(X3)
        | ~ l3_lattices(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t44_filter_2])])])])])])]) ).

cnf(c_0_76,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ v1_filter_0(X2,X1)
    | X2 != k1_filter_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_77,plain,
    ( v3_struct_0(X1)
    | v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ r2_filter_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_78,plain,
    ( m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61]),c_0_62]) ).

cnf(c_0_79,negated_conjecture,
    ( r2_filter_2(esk1_0,esk2_0)
    | esk2_0 != k17_filter_2(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_80,plain,
    ( k17_filter_2(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_81,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_82,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_83,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_84,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
    | ~ r2_hidden(X2,X3)
    | ~ m2_filter_2(X3,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_85,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_86,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_87,plain,
    ! [X3] : m1_subset_1(esk10_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).

cnf(c_0_88,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
    | ~ l2_lattices(X1)
    | ~ l1_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]) ).

cnf(c_0_89,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_72]) ).

cnf(c_0_90,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_91,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

fof(c_0_92,plain,
    ! [X2] :
      ( ~ l3_lattices(X2)
      | k1_lattice2(X2) = g3_lattices(u1_struct_0(X2),u1_lattices(X2),u2_lattices(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])]) ).

fof(c_0_93,plain,
    ! [X4,X5,X6] :
      ( ( ~ v3_struct_0(g3_lattices(X4,X5,X6))
        | v1_xboole_0(X4)
        | ~ v1_funct_1(X5)
        | ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) )
      & ( v3_lattices(g3_lattices(X4,X5,X6))
        | v1_xboole_0(X4)
        | ~ v1_funct_1(X5)
        | ~ v1_funct_2(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X5,k2_zfmisc_1(X4,X4),X4)
        | ~ v1_funct_1(X6)
        | ~ v1_funct_2(X6,k2_zfmisc_1(X4,X4),X4)
        | ~ m1_relset_1(X6,k2_zfmisc_1(X4,X4),X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc3_lattices])])])]) ).

cnf(c_0_94,plain,
    ( k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_95,plain,
    ( v3_struct_0(X1)
    | v1_filter_0(X2,X1)
    | X2 = k1_filter_0(X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ v2_filter_0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_96,plain,
    ( v3_struct_0(X1)
    | v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v1_filter_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_97,plain,
    ( v3_struct_0(X1)
    | k15_filter_2(X1,X2) != k1_filter_0(k1_lattice2(X1))
    | ~ r2_filter_2(X1,X2)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_60]),c_0_61]),c_0_78]),c_0_62]) ).

cnf(c_0_98,negated_conjecture,
    ( r2_filter_2(esk1_0,esk2_0)
    | u1_struct_0(esk1_0) != esk2_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_99,negated_conjecture,
    m2_filter_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

fof(c_0_100,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v10_lattices(X2)
      | ~ l3_lattices(X2)
      | k1_filter_0(X2) = u1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_filter_0])])]) ).

cnf(c_0_101,plain,
    ( v3_struct_0(X1)
    | ~ m1_subset_1(X2,X3)
    | ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
    | ~ m2_filter_2(X3,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).

cnf(c_0_102,plain,
    m1_subset_1(esk10_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_103,plain,
    ( u1_struct_0(X1) = X2
    | X1 != g3_lattices(X2,X3,X4)
    | ~ v3_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]) ).

cnf(c_0_104,plain,
    ( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_105,plain,
    ( v1_xboole_0(X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
    | ~ v1_funct_1(X3)
    | ~ v3_struct_0(g3_lattices(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_106,plain,
    ( v3_struct_0(X1)
    | v1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_107,plain,
    ( v3_struct_0(X1)
    | v2_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ v1_filter_0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_108,plain,
    ( v3_struct_0(X1)
    | r2_filter_2(X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_109,plain,
    ( k15_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_49]),c_0_66]) ).

cnf(c_0_110,plain,
    ( k15_filter_2(X1,X2) = k1_filter_0(k1_lattice2(X1))
    | v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ v1_filter_2(X2,X1)
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v17_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_60]),c_0_61]),c_0_78]),c_0_62]) ).

cnf(c_0_111,negated_conjecture,
    ( k1_filter_0(k1_lattice2(esk1_0)) != k15_filter_2(esk1_0,esk2_0)
    | u1_struct_0(esk1_0) != esk2_0
    | ~ v17_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_112,plain,
    ( k1_filter_0(X1) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_113,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_114,plain,
    ( u1_struct_0(X1) = u1_struct_0(X2)
    | X1 != k1_lattice2(X2)
    | ~ v3_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_115,plain,
    ( v3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_116,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l1_lattices(X1)
    | ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_1(X2)
    | ~ v3_struct_0(g3_lattices(u1_struct_0(X1),u1_lattices(X1),X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_69]),c_0_70]),c_0_71]) ).

cnf(c_0_117,plain,
    ( v1_filter_2(X1,X2)
    | v3_struct_0(X2)
    | ~ v1_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2))
    | ~ m1_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2))
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v17_lattices(k1_lattice2(X2))
    | ~ v10_lattices(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_60]),c_0_61]),c_0_62]) ).

cnf(c_0_118,plain,
    ( r2_filter_2(X1,X2)
    | v3_struct_0(X1)
    | ~ v1_filter_0(X2,k1_lattice2(X1))
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_119,plain,
    ( X1 = k1_filter_0(k1_lattice2(X2))
    | v1_filter_0(X1,k1_lattice2(X2))
    | v3_struct_0(X2)
    | ~ v1_filter_2(X1,X2)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v17_lattices(k1_lattice2(X2))
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_109]) ).

cnf(c_0_120,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | k15_filter_2(esk1_0,esk2_0) != u1_struct_0(k1_lattice2(esk1_0))
    | u1_struct_0(esk1_0) != esk2_0
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

fof(c_0_121,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v3_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v4_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v5_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v6_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v7_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v8_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v9_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v10_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v11_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v12_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v13_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v14_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v15_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v16_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( v17_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ v17_lattices(X2)
        | ~ l3_lattices(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc4_filter_2])])])]) ).

cnf(c_0_122,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_99]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_123,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_114]),c_0_61]),c_0_115]) ).

cnf(c_0_124,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l2_lattices(X1)
    | ~ l1_lattices(X1)
    | ~ v3_struct_0(g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_52]),c_0_53]),c_0_54]) ).

cnf(c_0_125,negated_conjecture,
    ( esk2_0 = k17_filter_2(esk1_0)
    | ~ r2_filter_2(esk1_0,esk2_0)
    | ~ v1_filter_2(esk2_0,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_126,plain,
    ( v1_filter_2(X1,X2)
    | v3_struct_0(X2)
    | ~ r2_filter_2(X2,X1)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v17_lattices(k1_lattice2(X2))
    | ~ v10_lattices(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_77]),c_0_78]) ).

cnf(c_0_127,plain,
    ( X1 = k1_filter_0(k1_lattice2(X2))
    | r2_filter_2(X2,X1)
    | v3_struct_0(X2)
    | ~ v1_filter_2(X1,X2)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v17_lattices(k1_lattice2(X2))
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_128,negated_conjecture,
    ( r2_filter_2(esk1_0,esk2_0)
    | v1_filter_2(esk2_0,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_129,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | u1_struct_0(k1_lattice2(esk1_0)) != esk2_0
    | u1_struct_0(esk1_0) != esk2_0
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_109]),c_0_99]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_130,plain,
    ( v3_struct_0(X1)
    | v17_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_131,negated_conjecture,
    v17_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_132,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_81])]) ).

cnf(c_0_133,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_104]),c_0_90]),c_0_91]) ).

cnf(c_0_134,negated_conjecture,
    ( k17_filter_2(esk1_0) = esk2_0
    | ~ r2_filter_2(esk1_0,esk2_0)
    | ~ v17_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_99]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_135,negated_conjecture,
    ( k1_filter_0(k1_lattice2(esk1_0)) = esk2_0
    | r2_filter_2(esk1_0,esk2_0)
    | ~ v17_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_99]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_136,negated_conjecture,
    ( v3_struct_0(k1_lattice2(esk1_0))
    | u1_struct_0(k1_lattice2(esk1_0)) != esk2_0
    | u1_struct_0(esk1_0) != esk2_0
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_81]),c_0_131]),c_0_82])]),c_0_83]) ).

cnf(c_0_137,negated_conjecture,
    ~ v3_struct_0(k1_lattice2(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_81])]) ).

cnf(c_0_138,negated_conjecture,
    ( u1_struct_0(esk1_0) = esk2_0
    | ~ r2_filter_2(esk1_0,esk2_0)
    | ~ v17_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_134]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_139,negated_conjecture,
    ( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
    | r2_filter_2(esk1_0,esk2_0)
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_112,c_0_135]) ).

cnf(c_0_140,negated_conjecture,
    ( u1_struct_0(esk1_0) != esk2_0
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_123]),c_0_81])]),c_0_137]) ).

cnf(c_0_141,negated_conjecture,
    ( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
    | u1_struct_0(esk1_0) = esk2_0
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v17_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_142,negated_conjecture,
    ( u1_struct_0(esk1_0) != esk2_0
    | ~ l3_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_60]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_143,negated_conjecture,
    ( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
    | u1_struct_0(esk1_0) = esk2_0
    | v3_struct_0(k1_lattice2(esk1_0))
    | ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_130]),c_0_81]),c_0_131]),c_0_82])]),c_0_83]) ).

cnf(c_0_144,negated_conjecture,
    u1_struct_0(esk1_0) != esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_61]),c_0_81])]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ l3_lattices(k1_lattice2(esk1_0))
    | ~ v10_lattices(k1_lattice2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_123]),c_0_81])]),c_0_144]),c_0_137]) ).

cnf(c_0_146,negated_conjecture,
    ~ l3_lattices(k1_lattice2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_60]),c_0_81]),c_0_82])]),c_0_83]) ).

cnf(c_0_147,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_61]),c_0_81])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT322+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 28 21:03:11 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/1.41  # Preprocessing time       : 0.024 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 148
% 0.23/1.41  # Proof object clause steps            : 91
% 0.23/1.41  # Proof object formula steps           : 57
% 0.23/1.41  # Proof object conjectures             : 31
% 0.23/1.41  # Proof object clause conjectures      : 28
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 46
% 0.23/1.41  # Proof object initial formulas used   : 28
% 0.23/1.41  # Proof object generating inferences   : 45
% 0.23/1.41  # Proof object simplifying inferences  : 97
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 99
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.41  # Initial clauses                      : 267
% 0.23/1.41  # Removed in clause preprocessing      : 17
% 0.23/1.41  # Initial clauses in saturation        : 250
% 0.23/1.41  # Processed clauses                    : 2085
% 0.23/1.41  # ...of these trivial                  : 3
% 0.23/1.41  # ...subsumed                          : 954
% 0.23/1.41  # ...remaining for further processing  : 1128
% 0.23/1.41  # Other redundant clauses eliminated   : 3
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 280
% 0.23/1.41  # Backward-rewritten                   : 7
% 0.23/1.41  # Generated clauses                    : 6158
% 0.23/1.41  # ...of the previous two non-trivial   : 5629
% 0.23/1.41  # Contextual simplify-reflections      : 1313
% 0.23/1.41  # Paramodulations                      : 6139
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 19
% 0.23/1.41  # Current number of processed clauses  : 841
% 0.23/1.41  #    Positive orientable unit clauses  : 100
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 23
% 0.23/1.41  #    Non-unit-clauses                  : 718
% 0.23/1.41  # Current number of unprocessed clauses: 2314
% 0.23/1.41  # ...number of literals in the above   : 13350
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 287
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 613748
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 87494
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 2495
% 0.23/1.41  # Unit Clause-clause subsumption calls : 4305
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 15
% 0.23/1.41  # BW rewrite match successes           : 4
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 143150
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.340 s
% 0.23/1.41  # System time              : 0.008 s
% 0.23/1.41  # Total time               : 0.348 s
% 0.23/1.41  # Maximum resident set size: 9400 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------