TSTP Solution File: LAT330+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT330+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n007.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 04:47:13 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   90 (   9 unt;   0 def)
%            Number of atoms       :  468 (   0 equ)
%            Maximal formula atoms :   31 (   5 avg)
%            Number of connectives :  644 ( 266   ~; 295   |;  46   &)
%                                         (   4 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :  168 (   1 sgn  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(dt_l1_lattices,axiom,
    ! [X1] :
      ( l1_lattices(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_l1_lattices) ).

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

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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m2_lattice4) ).

fof(dt_k22_filter_2,axiom,
    ! [X1,X2,X3] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1))
        & m1_subset_1(X3,u1_struct_0(X1)) )
     => ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
        & m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k22_filter_2) ).

fof(fc1_struct_0,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_struct_0) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m2_filter_2) ).

fof(dt_k18_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & m1_subset_1(X2,u1_struct_0(X1)) )
     => m2_filter_2(k18_filter_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k18_filter_2) ).

fof(d1_filter_2,axiom,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ! [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X1))
         => ! [X3] :
              ( m1_subset_1(X3,k1_zfmisc_1(X1))
             => ( r1_filter_2(X1,X2,X3)
              <=> ! [X4] :
                    ( m1_subset_1(X4,X1)
                   => ( r2_hidden(X4,X2)
                    <=> r2_hidden(X4,X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d1_filter_2) ).

fof(dt_k5_lattices,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l1_lattices(X1) )
     => m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k5_lattices) ).

fof(t67_filter_2,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ( v13_lattices(X1)
           => r1_filter_2(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X2)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t67_filter_2) ).

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/solver/bin/../tmp/theBenchmark.p',t4_subset) ).

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

fof(t63_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ! [X4] :
                  ( m1_subset_1(X4,u1_struct_0(X1))
                 => ( r3_lattices(X1,X2,X3)
                   => ( r2_hidden(X4,k22_filter_2(X1,X2,X3))
                    <=> ( r3_lattices(X1,X2,X4)
                        & r3_lattices(X1,X4,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t63_filter_2) ).

fof(t1_subset,axiom,
    ! [X1,X2] :
      ( r2_hidden(X1,X2)
     => m1_subset_1(X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t1_subset) ).

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/sandbox/solver/bin/../tmp/theBenchmark.p',t5_subset) ).

fof(t29_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( r2_hidden(X2,k18_filter_2(X1,X3))
              <=> r3_lattices(X1,X2,X3) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t29_filter_2) ).

fof(t41_lattices,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & v13_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => r3_lattices(X1,k5_lattices(X1),X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t41_lattices) ).

fof(c_0_17,plain,
    ! [X2] :
      ( ~ l1_lattices(X2)
      | l1_struct_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).

fof(c_0_18,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_19,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_20,plain,
    ! [X4,X5,X6] :
      ( ( ~ v1_xboole_0(k22_filter_2(X4,X5,X6))
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | ~ m1_subset_1(X5,u1_struct_0(X4))
        | ~ m1_subset_1(X6,u1_struct_0(X4)) )
      & ( m2_lattice4(k22_filter_2(X4,X5,X6),X4)
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4)
        | ~ m1_subset_1(X5,u1_struct_0(X4))
        | ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k22_filter_2])])])]) ).

fof(c_0_21,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ l1_struct_0(X2)
      | ~ v1_xboole_0(u1_struct_0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).

cnf(c_0_22,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_24,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_25,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ l3_lattices(X3)
      | ~ m1_subset_1(X4,u1_struct_0(X3))
      | m2_filter_2(k18_filter_2(X3,X4),X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k18_filter_2])])]) ).

fof(c_0_26,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ r2_hidden(X8,X6)
        | r2_hidden(X8,X7)
        | ~ m1_subset_1(X8,X5)
        | ~ r1_filter_2(X5,X6,X7)
        | ~ m1_subset_1(X7,k1_zfmisc_1(X5))
        | ~ m1_subset_1(X6,k1_zfmisc_1(X5))
        | v1_xboole_0(X5) )
      & ( ~ r2_hidden(X8,X7)
        | r2_hidden(X8,X6)
        | ~ m1_subset_1(X8,X5)
        | ~ r1_filter_2(X5,X6,X7)
        | ~ m1_subset_1(X7,k1_zfmisc_1(X5))
        | ~ m1_subset_1(X6,k1_zfmisc_1(X5))
        | v1_xboole_0(X5) )
      & ( m1_subset_1(esk3_3(X5,X6,X7),X5)
        | r1_filter_2(X5,X6,X7)
        | ~ m1_subset_1(X7,k1_zfmisc_1(X5))
        | ~ m1_subset_1(X6,k1_zfmisc_1(X5))
        | v1_xboole_0(X5) )
      & ( ~ r2_hidden(esk3_3(X5,X6,X7),X6)
        | ~ r2_hidden(esk3_3(X5,X6,X7),X7)
        | r1_filter_2(X5,X6,X7)
        | ~ m1_subset_1(X7,k1_zfmisc_1(X5))
        | ~ m1_subset_1(X6,k1_zfmisc_1(X5))
        | v1_xboole_0(X5) )
      & ( r2_hidden(esk3_3(X5,X6,X7),X6)
        | r2_hidden(esk3_3(X5,X6,X7),X7)
        | r1_filter_2(X5,X6,X7)
        | ~ m1_subset_1(X7,k1_zfmisc_1(X5))
        | ~ m1_subset_1(X6,k1_zfmisc_1(X5))
        | v1_xboole_0(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)],[d1_filter_2])])])])])])])]) ).

cnf(c_0_27,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_19]) ).

cnf(c_0_28,plain,
    ( v3_struct_0(X2)
    | m2_lattice4(k22_filter_2(X2,X3,X1),X2)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_31,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_24]) ).

cnf(c_0_32,plain,
    ( m2_filter_2(k18_filter_2(X1,X2),X1)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    ( v1_xboole_0(X1)
    | r1_filter_2(X1,X2,X3)
    | r2_hidden(esk3_3(X1,X2,X3),X3)
    | r2_hidden(esk3_3(X1,X2,X3),X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_34,plain,
    ( m1_subset_1(k22_filter_2(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_35,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_36,plain,
    ( m2_lattice4(k18_filter_2(X1,X2),X1)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_37,plain,
    ( r2_hidden(esk3_3(u1_struct_0(X1),X2,k22_filter_2(X1,X3,X4)),k22_filter_2(X1,X3,X4))
    | r2_hidden(esk3_3(u1_struct_0(X1),X2,k22_filter_2(X1,X3,X4)),X2)
    | r1_filter_2(u1_struct_0(X1),X2,k22_filter_2(X1,X3,X4))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_38,plain,
    ( m1_subset_1(k18_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_36]) ).

fof(c_0_39,plain,
    ! [X2] :
      ( v3_struct_0(X2)
      | ~ l1_lattices(X2)
      | m1_subset_1(k5_lattices(X2),u1_struct_0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_lattices])])]) ).

fof(c_0_40,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & l3_lattices(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,u1_struct_0(X1))
           => ( v13_lattices(X1)
             => r1_filter_2(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X2)) ) ) ),
    inference(assume_negation,[status(cth)],[t67_filter_2]) ).

fof(c_0_41,plain,
    ! [X4,X5,X6] :
      ( ~ r2_hidden(X4,X5)
      | ~ m1_subset_1(X5,k1_zfmisc_1(X6))
      | m1_subset_1(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).

cnf(c_0_42,plain,
    ( r2_hidden(esk3_3(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,X3,X4)),k22_filter_2(X1,X3,X4))
    | r2_hidden(esk3_3(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,X3,X4)),k18_filter_2(X1,X2))
    | r1_filter_2(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,X3,X4))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    ( m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ l1_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_44,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & m1_subset_1(esk2_0,u1_struct_0(esk1_0))
    & v13_lattices(esk1_0)
    & ~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,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_40])])])])])]) ).

cnf(c_0_45,plain,
    ( m1_subset_1(X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2))
    | ~ r2_hidden(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_46,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_47,plain,
    ( r2_hidden(esk3_3(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X3)),k22_filter_2(X1,k5_lattices(X1),X3))
    | r2_hidden(esk3_3(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X3)),k18_filter_2(X1,X2))
    | r1_filter_2(u1_struct_0(X1),k18_filter_2(X1,X2),k22_filter_2(X1,k5_lattices(X1),X3))
    | v3_struct_0(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_23]) ).

cnf(c_0_48,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_52,plain,
    ! [X5,X6,X7,X8] :
      ( ( r3_lattices(X5,X6,X8)
        | ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
        | ~ r3_lattices(X5,X6,X7)
        | ~ m1_subset_1(X8,u1_struct_0(X5))
        | ~ m1_subset_1(X7,u1_struct_0(X5))
        | ~ m1_subset_1(X6,u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( r3_lattices(X5,X8,X7)
        | ~ r2_hidden(X8,k22_filter_2(X5,X6,X7))
        | ~ r3_lattices(X5,X6,X7)
        | ~ m1_subset_1(X8,u1_struct_0(X5))
        | ~ m1_subset_1(X7,u1_struct_0(X5))
        | ~ m1_subset_1(X6,u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) )
      & ( ~ r3_lattices(X5,X6,X8)
        | ~ r3_lattices(X5,X8,X7)
        | r2_hidden(X8,k22_filter_2(X5,X6,X7))
        | ~ r3_lattices(X5,X6,X7)
        | ~ m1_subset_1(X8,u1_struct_0(X5))
        | ~ m1_subset_1(X7,u1_struct_0(X5))
        | ~ m1_subset_1(X6,u1_struct_0(X5))
        | v3_struct_0(X5)
        | ~ v10_lattices(X5)
        | ~ l3_lattices(X5) ) ),
    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)],[t63_filter_2])])])])])])]) ).

cnf(c_0_53,plain,
    ( m1_subset_1(X1,u1_struct_0(X2))
    | v3_struct_0(X2)
    | ~ r2_hidden(X1,k22_filter_2(X2,X3,X4))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_34]) ).

cnf(c_0_54,plain,
    ( r2_hidden(X1,X2)
    | v1_xboole_0(X2)
    | ~ m1_subset_1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_55,plain,
    ( v3_struct_0(X2)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_56,plain,
    ! [X3,X4] :
      ( ~ r2_hidden(X3,X4)
      | m1_subset_1(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).

cnf(c_0_57,negated_conjecture,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,X1),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,X1),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k18_filter_2(esk1_0,X1))
    | r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,X1),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]),c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    ~ r1_filter_2(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_59,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])]) ).

cnf(c_0_60,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X4,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ r3_lattices(X1,X2,X3)
    | ~ r2_hidden(X4,k22_filter_2(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_61,plain,
    ( m1_subset_1(X1,u1_struct_0(X2))
    | v3_struct_0(X2)
    | ~ m1_subset_1(X1,k22_filter_2(X2,X3,X4))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

cnf(c_0_62,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0))
    | r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k18_filter_2(esk1_0,esk2_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_58]) ).

cnf(c_0_64,plain,
    ( v1_xboole_0(X1)
    | r1_filter_2(X1,X2,X3)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ r2_hidden(esk3_3(X1,X2,X3),X3)
    | ~ r2_hidden(esk3_3(X1,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_65,plain,
    ( ~ v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ r2_hidden(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

fof(c_0_66,plain,
    ! [X4,X5,X6] :
      ( ( ~ r2_hidden(X5,k18_filter_2(X4,X6))
        | r3_lattices(X4,X5,X6)
        | ~ m1_subset_1(X6,u1_struct_0(X4))
        | ~ m1_subset_1(X5,u1_struct_0(X4))
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) )
      & ( ~ r3_lattices(X4,X5,X6)
        | r2_hidden(X5,k18_filter_2(X4,X6))
        | ~ m1_subset_1(X6,u1_struct_0(X4))
        | ~ m1_subset_1(X5,u1_struct_0(X4))
        | v3_struct_0(X4)
        | ~ v10_lattices(X4)
        | ~ l3_lattices(X4) ) ),
    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)],[t29_filter_2])])])])])])]) ).

cnf(c_0_67,plain,
    ( r3_lattices(X1,X2,X3)
    | v3_struct_0(X1)
    | ~ r3_lattices(X1,X4,X3)
    | ~ m1_subset_1(X2,k22_filter_2(X1,X4,X3))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_54]),c_0_61]),c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k18_filter_2(esk1_0,esk2_0))
    | m1_subset_1(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_69,plain,
    ( m1_subset_1(X1,u1_struct_0(X2))
    | v3_struct_0(X2)
    | ~ r2_hidden(X1,k18_filter_2(X2,X3))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_38]) ).

cnf(c_0_70,negated_conjecture,
    ( r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k18_filter_2(esk1_0,esk2_0))
    | m1_subset_1(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),u1_struct_0(esk1_0))
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(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_53,c_0_63]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]) ).

cnf(c_0_71,plain,
    ( r1_filter_2(X1,X2,X3)
    | ~ r2_hidden(esk3_3(X1,X2,X3),X3)
    | ~ r2_hidden(esk3_3(X1,X2,X3),X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(csr,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X4,k22_filter_2(X1,X2,X3))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ r3_lattices(X1,X2,X3)
    | ~ r3_lattices(X1,X4,X3)
    | ~ r3_lattices(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_73,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,k18_filter_2(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_74,negated_conjecture,
    ( r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),esk2_0)
    | r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k18_filter_2(esk1_0,esk2_0))
    | ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(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_67,c_0_68]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]) ).

cnf(c_0_75,negated_conjecture,
    ( m1_subset_1(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),u1_struct_0(esk1_0))
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(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_69,c_0_70]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]) ).

cnf(c_0_76,plain,
    ( r1_filter_2(X1,X2,k22_filter_2(X3,X4,X5))
    | v3_struct_0(X3)
    | ~ r3_lattices(X3,esk3_3(X1,X2,k22_filter_2(X3,X4,X5)),X5)
    | ~ r3_lattices(X3,X4,esk3_3(X1,X2,k22_filter_2(X3,X4,X5)))
    | ~ r3_lattices(X3,X4,X5)
    | ~ r2_hidden(esk3_3(X1,X2,k22_filter_2(X3,X4,X5)),X2)
    | ~ m1_subset_1(esk3_3(X1,X2,k22_filter_2(X3,X4,X5)),u1_struct_0(X3))
    | ~ m1_subset_1(k22_filter_2(X3,X4,X5),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X5,u1_struct_0(X3))
    | ~ m1_subset_1(X4,u1_struct_0(X3))
    | ~ l3_lattices(X3)
    | ~ v10_lattices(X3) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_77,negated_conjecture,
    ( r3_lattices(esk1_0,esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),esk2_0)
    | ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
    inference(csr,[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_73,c_0_74]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]),c_0_75]) ).

fof(c_0_78,plain,
    ! [X3,X4] :
      ( v3_struct_0(X3)
      | ~ v10_lattices(X3)
      | ~ v13_lattices(X3)
      | ~ l3_lattices(X3)
      | ~ m1_subset_1(X4,u1_struct_0(X3))
      | r3_lattices(X3,k5_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)],[t41_lattices])])])])])]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)))
    | ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
    | ~ r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k18_filter_2(esk1_0,esk2_0))
    | ~ m1_subset_1(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(k18_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
    inference(csr,[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(spm,[status(thm)],[c_0_76,c_0_77]),c_0_48]),c_0_49]),c_0_50])]),c_0_58]),c_0_51]),c_0_75]) ).

cnf(c_0_80,plain,
    ( r3_lattices(X1,k5_lattices(X1),X2)
    | v3_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v13_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_81,negated_conjecture,
    v13_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
    | ~ r2_hidden(esk3_3(u1_struct_0(esk1_0),k18_filter_2(esk1_0,esk2_0),k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0)),k18_filter_2(esk1_0,esk2_0))
    | ~ m1_subset_1(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(k18_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
    inference(csr,[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_79,c_0_80]),c_0_81]),c_0_49]),c_0_50])]),c_0_51]),c_0_75]) ).

cnf(c_0_83,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k18_filter_2(X1,X3))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r3_lattices(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
    | ~ m1_subset_1(k22_filter_2(esk1_0,k5_lattices(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(k18_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[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_82,c_0_83]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]),c_0_75]),c_0_77]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ r3_lattices(esk1_0,k5_lattices(esk1_0),esk2_0)
    | ~ m1_subset_1(k18_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(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_84,c_0_34]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ m1_subset_1(k18_filter_2(esk1_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
    | ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
    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_85,c_0_80]),c_0_81]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]) ).

cnf(c_0_87,negated_conjecture,
    ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(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_86,c_0_38]),c_0_48]),c_0_49]),c_0_50])]),c_0_51]) ).

cnf(c_0_88,negated_conjecture,
    ~ l1_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_43]),c_0_51]) ).

cnf(c_0_89,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_23]),c_0_49])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT330+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n007.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 : Thu Jun 30 05:56:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.22/1.40  # Preprocessing time       : 0.022 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 90
% 0.22/1.40  # Proof object clause steps            : 55
% 0.22/1.40  # Proof object formula steps           : 35
% 0.22/1.40  # Proof object conjectures             : 24
% 0.22/1.40  # Proof object clause conjectures      : 21
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 26
% 0.22/1.40  # Proof object initial formulas used   : 17
% 0.22/1.40  # Proof object generating inferences   : 28
% 0.22/1.40  # Proof object simplifying inferences  : 71
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 56
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.40  # Initial clauses                      : 90
% 0.22/1.40  # Removed in clause preprocessing      : 7
% 0.22/1.40  # Initial clauses in saturation        : 83
% 0.22/1.40  # Processed clauses                    : 3334
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 1973
% 0.22/1.40  # ...remaining for further processing  : 1361
% 0.22/1.40  # Other redundant clauses eliminated   : 2
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 147
% 0.22/1.40  # Backward-rewritten                   : 4
% 0.22/1.40  # Generated clauses                    : 28140
% 0.22/1.40  # ...of the previous two non-trivial   : 26763
% 0.22/1.40  # Contextual simplify-reflections      : 2961
% 0.22/1.40  # Paramodulations                      : 28118
% 0.22/1.40  # Factorizations                       : 20
% 0.22/1.40  # Equation resolutions                 : 2
% 0.22/1.40  # Current number of processed clauses  : 1208
% 0.22/1.40  #    Positive orientable unit clauses  : 19
% 0.22/1.40  #    Positive unorientable unit clauses: 0
% 0.22/1.40  #    Negative unit clauses             : 11
% 0.22/1.40  #    Non-unit-clauses                  : 1178
% 0.22/1.40  # Current number of unprocessed clauses: 22139
% 0.22/1.40  # ...number of literals in the above   : 178514
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 151
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 619185
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 69739
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 4992
% 0.22/1.40  # Unit Clause-clause subsumption calls : 1120
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 15
% 0.22/1.40  # BW rewrite match successes           : 3
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 1235121
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.796 s
% 0.22/1.40  # System time              : 0.019 s
% 0.22/1.40  # Total time               : 0.815 s
% 0.22/1.40  # Maximum resident set size: 33720 pages
% 0.22/23.39  eprover: CPU time limit exceeded, terminating
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
%------------------------------------------------------------------------------