TSTP Solution File: LAT310+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 04:46:51 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   50 (  15 unt;   0 def)
%            Number of atoms       :  276 (  12 equ)
%            Maximal formula atoms :   45 (   5 avg)
%            Number of connectives :  374 ( 148   ~; 163   |;  41   &)
%                                         (   1 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   81 (   1 sgn  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d11_filter_2,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))) )
         => ! [X3] :
              ( m2_filter_2(X3,X1)
             => ( X3 = k19_filter_2(X1,X2)
              <=> ( r1_tarski(X2,X3)
                  & ! [X4] :
                      ( m2_filter_2(X4,X1)
                     => ( r1_tarski(X2,X4)
                       => r1_tarski(X3,X4) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d11_filter_2) ).

fof(reflexivity_r1_tarski,axiom,
    ! [X1,X2] : r1_tarski(X1,X1),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity_r1_tarski) ).

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.mepo_128.in',dt_m2_filter_2) ).

fof(t39_filter_2,conjecture,
    ! [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))) )
         => ! [X3] :
              ( ( ~ v1_xboole_0(X3)
                & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
             => ! [X4] :
                  ( ( ~ v1_xboole_0(X4)
                    & m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
                 => ( ( r1_tarski(X3,X4)
                     => r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
                    & r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t39_filter_2) ).

fof(dt_k19_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v1_xboole_0(X2)
        & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
     => m2_filter_2(k19_filter_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k19_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.mepo_128.in',dt_m2_lattice4) ).

fof(t1_xboole_1,axiom,
    ! [X1,X2,X3] :
      ( ( r1_tarski(X1,X2)
        & r1_tarski(X2,X3) )
     => r1_tarski(X1,X3) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_xboole_1) ).

fof(c_0_7,plain,
    ! [X5,X6,X7,X8] :
      ( ( r1_tarski(X6,X7)
        | X7 != k19_filter_2(X5,X6)
        | ~ m2_filter_2(X7,X5)
        | v1_xboole_0(X6)
        | ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( ~ m2_filter_2(X8,X5)
        | ~ r1_tarski(X6,X8)
        | r1_tarski(X7,X8)
        | X7 != k19_filter_2(X5,X6)
        | ~ m2_filter_2(X7,X5)
        | v1_xboole_0(X6)
        | ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( m2_filter_2(esk5_3(X5,X6,X7),X5)
        | ~ r1_tarski(X6,X7)
        | X7 = k19_filter_2(X5,X6)
        | ~ m2_filter_2(X7,X5)
        | v1_xboole_0(X6)
        | ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( r1_tarski(X6,esk5_3(X5,X6,X7))
        | ~ r1_tarski(X6,X7)
        | X7 = k19_filter_2(X5,X6)
        | ~ m2_filter_2(X7,X5)
        | v1_xboole_0(X6)
        | ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( ~ r1_tarski(X7,esk5_3(X5,X6,X7))
        | ~ r1_tarski(X6,X7)
        | X7 = k19_filter_2(X5,X6)
        | ~ m2_filter_2(X7,X5)
        | v1_xboole_0(X6)
        | ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[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)],[d11_filter_2])])])])])])])]) ).

fof(c_0_8,plain,
    ! [X3] : r1_tarski(X3,X3),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).

fof(c_0_9,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])])])])])])]) ).

fof(c_0_10,negated_conjecture,
    ~ ! [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))) )
           => ! [X3] :
                ( ( ~ v1_xboole_0(X3)
                  & m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
               => ! [X4] :
                    ( ( ~ v1_xboole_0(X4)
                      & m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
                   => ( ( r1_tarski(X3,X4)
                       => r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
                      & r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t39_filter_2]) ).

cnf(c_0_11,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | X3 = k19_filter_2(X1,X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m2_filter_2(X3,X1)
    | ~ r1_tarski(X2,X3)
    | ~ r1_tarski(X3,esk5_3(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | X3 = k19_filter_2(X1,X2)
    | r1_tarski(X2,esk5_3(X1,X2,X3))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m2_filter_2(X3,X1)
    | ~ r1_tarski(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    r1_tarski(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,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_9]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | v1_xboole_0(X4)
      | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
      | m2_filter_2(k19_filter_2(X3,X4),X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k19_filter_2])])]) ).

fof(c_0_16,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_17,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & ~ v1_xboole_0(esk2_0)
    & m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & ~ v1_xboole_0(esk3_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & ~ v1_xboole_0(esk4_0)
    & m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
    & ( r1_tarski(esk3_0,esk4_0)
      | ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) )
    & ( ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0))
      | ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_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_10])])])])])])]) ).

cnf(c_0_18,plain,
    ( k19_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ m2_filter_2(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).

cnf(c_0_19,plain,
    ( m2_filter_2(k19_filter_2(X1,X2),X1)
    | v1_xboole_0(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_15]) ).

cnf(c_0_20,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | r1_tarski(X3,X4)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m2_filter_2(X3,X1)
    | X3 != k19_filter_2(X1,X2)
    | ~ r1_tarski(X2,X4)
    | ~ m2_filter_2(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,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_16]) ).

cnf(c_0_22,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_9]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0))
    | ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    ( k19_filter_2(X1,k19_filter_2(X1,X2)) = k19_filter_2(X1,X2)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(k19_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_28,negated_conjecture,
    ~ v1_xboole_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_29,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_30,plain,
    ( r1_tarski(k19_filter_2(X1,X2),X3)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m2_filter_2(X3,X1)
    | ~ r1_tarski(X2,X3)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_19]) ).

fof(c_0_31,plain,
    ! [X4,X5,X6] :
      ( ~ r1_tarski(X4,X5)
      | ~ r1_tarski(X5,X6)
      | r1_tarski(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).

cnf(c_0_32,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | r1_tarski(X2,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m2_filter_2(X3,X1)
    | X3 != k19_filter_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_33,negated_conjecture,
    ( r1_tarski(esk3_0,esk4_0)
    | ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_34,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | v3_struct_0(X2)
    | ~ m2_filter_2(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0))
    | ~ m1_subset_1(k19_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    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(spm,[status(thm)],[c_0_23,c_0_24]),c_0_13]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),c_0_29]) ).

cnf(c_0_36,plain,
    ( r1_tarski(k19_filter_2(X1,X2),k19_filter_2(X1,X3))
    | v1_xboole_0(X3)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ r1_tarski(X2,k19_filter_2(X1,X3))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_19]) ).

cnf(c_0_37,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_38,negated_conjecture,
    m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_39,negated_conjecture,
    ~ v1_xboole_0(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_40,negated_conjecture,
    ~ v1_xboole_0(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_41,plain,
    ( r1_tarski(X1,X2)
    | ~ r1_tarski(X3,X2)
    | ~ r1_tarski(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_42,plain,
    ( r1_tarski(X1,k19_filter_2(X2,X1))
    | v1_xboole_0(X1)
    | v3_struct_0(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_19]) ).

cnf(c_0_43,negated_conjecture,
    ( r1_tarski(esk3_0,esk4_0)
    | ~ m1_subset_1(k19_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
    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(spm,[status(thm)],[c_0_33,c_0_24]),c_0_13]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),c_0_29]) ).

cnf(c_0_44,plain,
    ( m1_subset_1(k19_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_19]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ r1_tarski(esk3_0,k19_filter_2(esk1_0,esk4_0))
    | ~ m1_subset_1(k19_filter_2(esk1_0,esk2_0),k1_zfmisc_1(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(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]),c_0_26]),c_0_27])]),c_0_39]),c_0_40]),c_0_29]) ).

cnf(c_0_46,plain,
    ( r1_tarski(X1,k19_filter_2(X2,X3))
    | v1_xboole_0(X3)
    | v3_struct_0(X2)
    | ~ r1_tarski(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    r1_tarski(esk3_0,esk4_0),
    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(spm,[status(thm)],[c_0_43,c_0_44]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),c_0_29]) ).

cnf(c_0_48,negated_conjecture,
    ~ m1_subset_1(k19_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
    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(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_38]),c_0_26]),c_0_27])]),c_0_39]),c_0_29]) ).

cnf(c_0_49,negated_conjecture,
    $false,
    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(spm,[status(thm)],[c_0_48,c_0_44]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 29 02:42:23 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.43  # Preprocessing time       : 0.018 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 50
% 0.25/1.43  # Proof object clause steps            : 35
% 0.25/1.43  # Proof object formula steps           : 15
% 0.25/1.43  # Proof object conjectures             : 20
% 0.25/1.43  # Proof object clause conjectures      : 17
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 21
% 0.25/1.43  # Proof object initial formulas used   : 7
% 0.25/1.43  # Proof object generating inferences   : 14
% 0.25/1.43  # Proof object simplifying inferences  : 46
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 44
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.43  # Initial clauses                      : 73
% 0.25/1.43  # Removed in clause preprocessing      : 7
% 0.25/1.43  # Initial clauses in saturation        : 66
% 0.25/1.43  # Processed clauses                    : 347
% 0.25/1.43  # ...of these trivial                  : 2
% 0.25/1.43  # ...subsumed                          : 97
% 0.25/1.43  # ...remaining for further processing  : 248
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 17
% 0.25/1.43  # Generated clauses                    : 931
% 0.25/1.43  # ...of the previous two non-trivial   : 843
% 0.25/1.43  # Contextual simplify-reflections      : 55
% 0.25/1.43  # Paramodulations                      : 926
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 2
% 0.25/1.43  # Current number of processed clauses  : 230
% 0.25/1.43  #    Positive orientable unit clauses  : 46
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 12
% 0.25/1.43  #    Non-unit-clauses                  : 172
% 0.25/1.43  # Current number of unprocessed clauses: 556
% 0.25/1.43  # ...number of literals in the above   : 3125
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 17
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 8017
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 3021
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 142
% 0.25/1.43  # Unit Clause-clause subsumption calls : 528
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 88
% 0.25/1.43  # BW rewrite match successes           : 4
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 22949
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.051 s
% 0.25/1.43  # System time              : 0.001 s
% 0.25/1.43  # Total time               : 0.052 s
% 0.25/1.43  # Maximum resident set size: 4056 pages
% 0.25/23.43  eprover: CPU time limit exceeded, terminating
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------