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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT297+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 04:29:06 EDT 2022

% Result   : Theorem 24.63s 6.93s
% Output   : CNFRefutation 24.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   43 (  11 unt;   0 def)
%            Number of atoms       :  300 (   0 equ)
%            Maximal formula atoms :   70 (   6 avg)
%            Number of connectives :  413 ( 156   ~; 192   |;  38   &)
%                                         (   5 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-3 aty)
%            Number of variables   :   68 (   1 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t13_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X1))
                   => ( ( r2_hidden(X3,X2)
                        & r2_hidden(X4,X2) )
                    <=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
           => m2_lattice4(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_filter_2) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).

fof(d10_lattice4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
         => ( m2_lattice4(X2,X1)
          <=> ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X1))
                   => ( ( r2_hidden(X3,X2)
                        & r2_hidden(X4,X2) )
                     => ( r2_hidden(k4_lattices(X1,X3,X4),X2)
                        & r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d10_lattice4) ).

fof(t11_lattice4,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_0(X2,X1)
         => m2_lattice4(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t11_lattice4) ).

fof(d1_filter_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v1_xboole_0(X2)
            & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
         => ( m1_filter_0(X2,X1)
          <=> ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ! [X4] :
                    ( m1_subset_1(X4,u1_struct_0(X1))
                   => ( ( r2_hidden(X3,X2)
                        & r2_hidden(X4,X2) )
                    <=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d1_filter_0) ).

fof(t4_subset,axiom,
    ! [X1,X2,X3] :
      ( ( r2_hidden(X1,X2)
        & m1_subset_1(X2,k1_zfmisc_1(X3)) )
     => m1_subset_1(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t4_subset) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & l3_lattices(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
           => ( ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(X1))
                 => ! [X4] :
                      ( m1_subset_1(X4,u1_struct_0(X1))
                     => ( ( r2_hidden(X3,X2)
                          & r2_hidden(X4,X2) )
                      <=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
             => m2_lattice4(X2,X1) ) ) ),
    inference(assume_negation,[status(cth)],[t13_filter_2]) ).

fof(c_0_7,plain,
    ! [X80,X81] :
      ( ~ r2_hidden(X80,X81)
      | ~ v1_xboole_0(X81) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).

fof(c_0_8,plain,
    ! [X58,X59,X60,X61] :
      ( ( r2_hidden(k4_lattices(X58,X60,X61),X59)
        | ~ r2_hidden(X60,X59)
        | ~ r2_hidden(X61,X59)
        | ~ m1_subset_1(X61,u1_struct_0(X58))
        | ~ m1_subset_1(X60,u1_struct_0(X58))
        | ~ m2_lattice4(X59,X58)
        | ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(X58)))
        | v3_struct_0(X58)
        | ~ v10_lattices(X58)
        | ~ l3_lattices(X58) )
      & ( r2_hidden(k3_lattices(X58,X60,X61),X59)
        | ~ r2_hidden(X60,X59)
        | ~ r2_hidden(X61,X59)
        | ~ m1_subset_1(X61,u1_struct_0(X58))
        | ~ m1_subset_1(X60,u1_struct_0(X58))
        | ~ m2_lattice4(X59,X58)
        | ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(X58)))
        | v3_struct_0(X58)
        | ~ v10_lattices(X58)
        | ~ l3_lattices(X58) )
      & ( m1_subset_1(esk4_2(X58,X59),u1_struct_0(X58))
        | m2_lattice4(X59,X58)
        | ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(X58)))
        | v3_struct_0(X58)
        | ~ v10_lattices(X58)
        | ~ l3_lattices(X58) )
      & ( m1_subset_1(esk5_2(X58,X59),u1_struct_0(X58))
        | m2_lattice4(X59,X58)
        | ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(X58)))
        | v3_struct_0(X58)
        | ~ v10_lattices(X58)
        | ~ l3_lattices(X58) )
      & ( r2_hidden(esk4_2(X58,X59),X59)
        | m2_lattice4(X59,X58)
        | ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(X58)))
        | v3_struct_0(X58)
        | ~ v10_lattices(X58)
        | ~ l3_lattices(X58) )
      & ( r2_hidden(esk5_2(X58,X59),X59)
        | m2_lattice4(X59,X58)
        | ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(X58)))
        | v3_struct_0(X58)
        | ~ v10_lattices(X58)
        | ~ l3_lattices(X58) )
      & ( ~ r2_hidden(k4_lattices(X58,esk4_2(X58,X59),esk5_2(X58,X59)),X59)
        | ~ r2_hidden(k3_lattices(X58,esk4_2(X58,X59),esk5_2(X58,X59)),X59)
        | m2_lattice4(X59,X58)
        | ~ m1_subset_1(X59,k1_zfmisc_1(u1_struct_0(X58)))
        | v3_struct_0(X58)
        | ~ v10_lattices(X58)
        | ~ l3_lattices(X58) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d10_lattice4])])])])])]) ).

fof(c_0_9,negated_conjecture,
    ! [X54,X55] :
      ( ~ v3_struct_0(esk1_0)
      & v10_lattices(esk1_0)
      & l3_lattices(esk1_0)
      & m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
      & ( ~ r2_hidden(X54,esk2_0)
        | ~ r2_hidden(X55,esk2_0)
        | r2_hidden(k4_lattices(esk1_0,X54,X55),esk2_0)
        | ~ m1_subset_1(X55,u1_struct_0(esk1_0))
        | ~ m1_subset_1(X54,u1_struct_0(esk1_0)) )
      & ( r2_hidden(X54,esk2_0)
        | ~ r2_hidden(k4_lattices(esk1_0,X54,X55),esk2_0)
        | ~ m1_subset_1(X55,u1_struct_0(esk1_0))
        | ~ m1_subset_1(X54,u1_struct_0(esk1_0)) )
      & ( r2_hidden(X55,esk2_0)
        | ~ r2_hidden(k4_lattices(esk1_0,X54,X55),esk2_0)
        | ~ m1_subset_1(X55,u1_struct_0(esk1_0))
        | ~ m1_subset_1(X54,u1_struct_0(esk1_0)) )
      & ~ m2_lattice4(esk2_0,esk1_0) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])])])])]) ).

fof(c_0_10,plain,
    ! [X65,X66] :
      ( v3_struct_0(X65)
      | ~ v10_lattices(X65)
      | ~ l3_lattices(X65)
      | ~ m1_filter_0(X66,X65)
      | m2_lattice4(X66,X65) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t11_lattice4])])])]) ).

cnf(c_0_11,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( r2_hidden(esk4_2(X1,X2),X2)
    | m2_lattice4(X2,X1)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_13,plain,
    ! [X132,X133,X134,X135] :
      ( ( ~ r2_hidden(X134,X133)
        | ~ r2_hidden(X135,X133)
        | r2_hidden(k4_lattices(X132,X134,X135),X133)
        | ~ m1_subset_1(X135,u1_struct_0(X132))
        | ~ m1_subset_1(X134,u1_struct_0(X132))
        | ~ m1_filter_0(X133,X132)
        | v1_xboole_0(X133)
        | ~ m1_subset_1(X133,k1_zfmisc_1(u1_struct_0(X132)))
        | v3_struct_0(X132)
        | ~ v10_lattices(X132)
        | ~ l3_lattices(X132) )
      & ( r2_hidden(X134,X133)
        | ~ r2_hidden(k4_lattices(X132,X134,X135),X133)
        | ~ m1_subset_1(X135,u1_struct_0(X132))
        | ~ m1_subset_1(X134,u1_struct_0(X132))
        | ~ m1_filter_0(X133,X132)
        | v1_xboole_0(X133)
        | ~ m1_subset_1(X133,k1_zfmisc_1(u1_struct_0(X132)))
        | v3_struct_0(X132)
        | ~ v10_lattices(X132)
        | ~ l3_lattices(X132) )
      & ( r2_hidden(X135,X133)
        | ~ r2_hidden(k4_lattices(X132,X134,X135),X133)
        | ~ m1_subset_1(X135,u1_struct_0(X132))
        | ~ m1_subset_1(X134,u1_struct_0(X132))
        | ~ m1_filter_0(X133,X132)
        | v1_xboole_0(X133)
        | ~ m1_subset_1(X133,k1_zfmisc_1(u1_struct_0(X132)))
        | v3_struct_0(X132)
        | ~ v10_lattices(X132)
        | ~ l3_lattices(X132) )
      & ( m1_subset_1(esk15_2(X132,X133),u1_struct_0(X132))
        | m1_filter_0(X133,X132)
        | v1_xboole_0(X133)
        | ~ m1_subset_1(X133,k1_zfmisc_1(u1_struct_0(X132)))
        | v3_struct_0(X132)
        | ~ v10_lattices(X132)
        | ~ l3_lattices(X132) )
      & ( m1_subset_1(esk16_2(X132,X133),u1_struct_0(X132))
        | m1_filter_0(X133,X132)
        | v1_xboole_0(X133)
        | ~ m1_subset_1(X133,k1_zfmisc_1(u1_struct_0(X132)))
        | v3_struct_0(X132)
        | ~ v10_lattices(X132)
        | ~ l3_lattices(X132) )
      & ( ~ r2_hidden(esk15_2(X132,X133),X133)
        | ~ r2_hidden(esk16_2(X132,X133),X133)
        | ~ r2_hidden(k4_lattices(X132,esk15_2(X132,X133),esk16_2(X132,X133)),X133)
        | m1_filter_0(X133,X132)
        | v1_xboole_0(X133)
        | ~ m1_subset_1(X133,k1_zfmisc_1(u1_struct_0(X132)))
        | v3_struct_0(X132)
        | ~ v10_lattices(X132)
        | ~ l3_lattices(X132) )
      & ( r2_hidden(esk15_2(X132,X133),X133)
        | r2_hidden(k4_lattices(X132,esk15_2(X132,X133),esk16_2(X132,X133)),X133)
        | m1_filter_0(X133,X132)
        | v1_xboole_0(X133)
        | ~ m1_subset_1(X133,k1_zfmisc_1(u1_struct_0(X132)))
        | v3_struct_0(X132)
        | ~ v10_lattices(X132)
        | ~ l3_lattices(X132) )
      & ( r2_hidden(esk16_2(X132,X133),X133)
        | r2_hidden(k4_lattices(X132,esk15_2(X132,X133),esk16_2(X132,X133)),X133)
        | m1_filter_0(X133,X132)
        | v1_xboole_0(X133)
        | ~ m1_subset_1(X133,k1_zfmisc_1(u1_struct_0(X132)))
        | v3_struct_0(X132)
        | ~ v10_lattices(X132)
        | ~ l3_lattices(X132) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_filter_0])])])])])]) ).

cnf(c_0_14,negated_conjecture,
    ~ m2_lattice4(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_18,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_19,plain,
    ( m2_lattice4(X1,X2)
    | v3_struct_0(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_xboole_0(X1) ),
    inference(pm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_20,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_21,negated_conjecture,
    ( r2_hidden(X1,esk2_0)
    | ~ r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_22,plain,
    ( r2_hidden(esk15_2(X1,X2),X2)
    | r2_hidden(k4_lattices(X1,esk15_2(X1,X2),esk16_2(X1,X2)),X2)
    | m1_filter_0(X2,X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ~ m1_filter_0(esk2_0,esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ~ v1_xboole_0(esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_20]),c_0_16]),c_0_17])]),c_0_14]),c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ( r2_hidden(X1,esk2_0)
    | ~ r2_hidden(k4_lattices(esk1_0,X2,X1),esk2_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_26,plain,
    ( r2_hidden(esk16_2(X1,X2),X2)
    | r2_hidden(k4_lattices(X1,esk15_2(X1,X2),esk16_2(X1,X2)),X2)
    | m1_filter_0(X2,X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_27,plain,
    ! [X171,X172,X173] :
      ( ~ r2_hidden(X171,X172)
      | ~ m1_subset_1(X172,k1_zfmisc_1(X173))
      | m1_subset_1(X171,X173) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).

cnf(c_0_28,negated_conjecture,
    ( r2_hidden(esk15_2(esk1_0,esk2_0),esk2_0)
    | ~ m1_subset_1(esk16_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk15_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_21,c_0_22]),c_0_16]),c_0_17]),c_0_20])]),c_0_23]),c_0_18]),c_0_24]) ).

cnf(c_0_29,plain,
    ( m1_subset_1(esk16_2(X1,X2),u1_struct_0(X1))
    | m1_filter_0(X2,X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_30,negated_conjecture,
    ( r2_hidden(esk16_2(esk1_0,esk2_0),esk2_0)
    | ~ m1_subset_1(esk15_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk16_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_25,c_0_26]),c_0_16]),c_0_17]),c_0_20])]),c_0_23]),c_0_18]),c_0_24]) ).

cnf(c_0_31,plain,
    ( m1_subset_1(X1,X3)
    | ~ r2_hidden(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,negated_conjecture,
    ( r2_hidden(esk15_2(esk1_0,esk2_0),esk2_0)
    | ~ m1_subset_1(esk15_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_29]),c_0_16]),c_0_17]),c_0_20])]),c_0_23]),c_0_18]),c_0_24]) ).

cnf(c_0_33,plain,
    ( m1_subset_1(esk15_2(X1,X2),u1_struct_0(X1))
    | m1_filter_0(X2,X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_34,negated_conjecture,
    ( r2_hidden(esk16_2(esk1_0,esk2_0),esk2_0)
    | ~ m1_subset_1(esk15_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_29]),c_0_16]),c_0_17]),c_0_20])]),c_0_23]),c_0_18]),c_0_24]) ).

cnf(c_0_35,negated_conjecture,
    ( m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ r2_hidden(X1,esk2_0) ),
    inference(pm,[status(thm)],[c_0_31,c_0_20]) ).

cnf(c_0_36,negated_conjecture,
    r2_hidden(esk15_2(esk1_0,esk2_0),esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_32,c_0_33]),c_0_16]),c_0_17]),c_0_20])]),c_0_23]),c_0_18]),c_0_24]) ).

cnf(c_0_37,plain,
    ( m1_filter_0(X2,X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ r2_hidden(esk15_2(X1,X2),X2)
    | ~ r2_hidden(esk16_2(X1,X2),X2)
    | ~ r2_hidden(k4_lattices(X1,esk15_2(X1,X2),esk16_2(X1,X2)),X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_38,negated_conjecture,
    ( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
    | ~ r2_hidden(X1,esk2_0)
    | ~ r2_hidden(X2,esk2_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_39,negated_conjecture,
    r2_hidden(esk16_2(esk1_0,esk2_0),esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ m1_subset_1(esk16_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk15_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_37,c_0_38]),c_0_16]),c_0_17]),c_0_20]),c_0_36]),c_0_39])]),c_0_23]),c_0_18]),c_0_24]) ).

cnf(c_0_41,negated_conjecture,
    ~ m1_subset_1(esk15_2(esk1_0,esk2_0),u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_40,c_0_35]),c_0_39])]) ).

cnf(c_0_42,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_41,c_0_35]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT297+4 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n023.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 : Wed Jun 29 18:25:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 1.35/1.56  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/1.56  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.35/1.56  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.35/1.56  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 24.63/6.93  # ENIGMATIC: Solved by autoschedule:
% 24.63/6.93  # SinE strategy is gf120_h_gu_R02_F100_L20000
% 24.63/6.93  # Trying AutoSched0 for 148 seconds
% 24.63/6.93  # AutoSched0-Mode selected heuristic G_E___300_C01_S00
% 24.63/6.93  # and selection function NoSelection.
% 24.63/6.93  #
% 24.63/6.93  # Preprocessing time       : 0.147 s
% 24.63/6.93  
% 24.63/6.93  # Proof found!
% 24.63/6.93  # SZS status Theorem
% 24.63/6.93  # SZS output start CNFRefutation
% See solution above
% 24.63/6.93  # Training examples: 0 positive, 0 negative
% 24.63/6.93  
% 24.63/6.93  # -------------------------------------------------
% 24.63/6.93  # User time                : 1.513 s
% 24.63/6.93  # System time              : 0.110 s
% 24.63/6.93  # Total time               : 1.623 s
% 24.63/6.93  # Maximum resident set size: 78060 pages
% 24.63/6.93  
%------------------------------------------------------------------------------