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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 04:46:41 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   55 (   8 unt;   0 def)
%            Number of atoms       :  309 (  10 equ)
%            Maximal formula atoms :   36 (   5 avg)
%            Number of connectives :  405 ( 151   ~; 169   |;  60   &)
%                                         (   2 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   77 (   1 sgn  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t12_filter_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_filter_0(X2,X1)
         => ( ( ~ v3_struct_0(X1)
              & v10_lattices(X1)
              & v14_lattices(X1)
              & l3_lattices(X1) )
           => r2_hidden(k6_lattices(X1),X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t12_filter_0) ).

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.mepo_128.in',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.mepo_128.in',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.mepo_128.in',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.mepo_128.in',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.mepo_128.in',fc1_lattice2) ).

fof(t78_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v13_lattices(X1)
        & l3_lattices(X1) )
     => k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t78_lattice2) ).

fof(t63_lattice2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ( v13_lattices(X1)
      <=> v14_lattices(k1_lattice2(X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t63_lattice2) ).

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.mepo_128.in',redefinition_k15_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.mepo_128.in',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.mepo_128.in',dt_m2_lattice4) ).

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(t25_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m2_filter_2(X2,X1)
         => ( v13_lattices(X1)
           => r2_hidden(k5_lattices(X1),X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t25_filter_2) ).

fof(c_0_13,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | ~ m1_filter_0(X4,X3)
      | v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ v14_lattices(X3)
      | ~ l3_lattices(X3)
      | r2_hidden(k6_lattices(X3),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)],[t12_filter_0])])])])])]) ).

cnf(c_0_14,plain,
    ( r2_hidden(k6_lattices(X1),X2)
    | v3_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_15,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])])])])])])]) ).

cnf(c_0_16,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k6_lattices(X1),X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    inference(cn,[status(thm)],[c_0_14]) ).

cnf(c_0_17,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_15]) ).

fof(c_0_18,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_19,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_20,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_21,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])])])]) ).

cnf(c_0_22,plain,
    ( r2_hidden(k6_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ m1_filter_2(X2,X1)
    | ~ v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,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_18]) ).

cnf(c_0_24,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_27,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ v10_lattices(X2)
      | ~ v13_lattices(X2)
      | ~ l3_lattices(X2)
      | k5_lattices(X2) = k6_lattices(k1_lattice2(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t78_lattice2])])]) ).

fof(c_0_28,plain,
    ! [X2] :
      ( ( ~ v13_lattices(X2)
        | v14_lattices(k1_lattice2(X2))
        | v3_struct_0(X2)
        | ~ v10_lattices(X2)
        | ~ l3_lattices(X2) )
      & ( ~ v14_lattices(k1_lattice2(X2))
        | v13_lattices(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)],[t63_lattice2])])])]) ).

fof(c_0_29,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_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,
    ! [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_33,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & l3_lattices(X1) )
       => ! [X2] :
            ( m2_filter_2(X2,X1)
           => ( v13_lattices(X1)
             => r2_hidden(k5_lattices(X1),X2) ) ) ),
    inference(assume_negation,[status(cth)],[t25_filter_2]) ).

cnf(c_0_34,plain,
    ( r2_hidden(k6_lattices(k1_lattice2(X1)),k15_filter_2(X1,X2))
    | v3_struct_0(X1)
    | ~ v14_lattices(k1_lattice2(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_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_35,plain,
    ( k5_lattices(X1) = k6_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(k1_lattice2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,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_29]) ).

cnf(c_0_38,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_39,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]) ).

cnf(c_0_40,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_32]) ).

fof(c_0_41,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & m2_filter_2(esk2_0,esk1_0)
    & v13_lattices(esk1_0)
    & ~ r2_hidden(k5_lattices(esk1_0),esk2_0) ),
    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_33])])])])])]) ).

cnf(c_0_42,plain,
    ( r2_hidden(k5_lattices(X1),k15_filter_2(X1,X2))
    | v3_struct_0(X1)
    | ~ v14_lattices(k1_lattice2(X1))
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_43,plain,
    ( k15_filter_2(X1,X2) = X2
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,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_39,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_46,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_47,negated_conjecture,
    v13_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_50,negated_conjecture,
    ~ r2_hidden(k5_lattices(esk1_0),esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,plain,
    ( r2_hidden(k5_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ v14_lattices(k1_lattice2(X1))
    | ~ m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    v14_lattices(k1_lattice2(esk1_0)),
    inference(cn,[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_48]),c_0_49])]) ).

cnf(c_0_53,negated_conjecture,
    m2_filter_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_54,negated_conjecture,
    $false,
    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_50,c_0_51]),c_0_52]),c_0_53]),c_0_48]),c_0_49])]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT301+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 30 06:40:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.022 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 55
% 0.23/1.42  # Proof object clause steps            : 28
% 0.23/1.42  # Proof object formula steps           : 27
% 0.23/1.42  # Proof object conjectures             : 11
% 0.23/1.42  # Proof object clause conjectures      : 8
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 19
% 0.23/1.42  # Proof object initial formulas used   : 13
% 0.23/1.42  # Proof object generating inferences   : 8
% 0.23/1.42  # Proof object simplifying inferences  : 16
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 88
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 181
% 0.23/1.42  # Removed in clause preprocessing      : 13
% 0.23/1.42  # Initial clauses in saturation        : 168
% 0.23/1.42  # Processed clauses                    : 849
% 0.23/1.42  # ...of these trivial                  : 26
% 0.23/1.42  # ...subsumed                          : 82
% 0.23/1.42  # ...remaining for further processing  : 741
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 15
% 0.23/1.42  # Backward-rewritten                   : 10
% 0.23/1.42  # Generated clauses                    : 1653
% 0.23/1.42  # ...of the previous two non-trivial   : 1540
% 0.23/1.42  # Contextual simplify-reflections      : 203
% 0.23/1.42  # Paramodulations                      : 1639
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 8
% 0.23/1.42  # Current number of processed clauses  : 714
% 0.23/1.42  #    Positive orientable unit clauses  : 188
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 22
% 0.23/1.42  #    Non-unit-clauses                  : 504
% 0.23/1.42  # Current number of unprocessed clauses: 820
% 0.23/1.42  # ...number of literals in the above   : 4642
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 25
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 61186
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 17083
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 290
% 0.23/1.42  # Unit Clause-clause subsumption calls : 6092
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 1561
% 0.23/1.42  # BW rewrite match successes           : 5
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 43274
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.098 s
% 0.23/1.42  # System time              : 0.007 s
% 0.23/1.42  # Total time               : 0.104 s
% 0.23/1.42  # Maximum resident set size: 5832 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.23/23.45  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
% 0.23/23.45  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
% 0.23/23.46  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
% 0.23/23.47  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
% 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
% 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
% 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
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50  eprover: No such file or directory
% 0.23/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------