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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LAT337+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:04:59 PM UTC 2026

% Result   : Theorem 0.55s 0.66s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   72 (  12 unt;   0 def)
%            Number of atoms       :  660 (   0 equ)
%            Maximal formula atoms :   65 (   9 avg)
%            Number of connectives :  922 ( 334   ~; 354   |; 186   &)
%                                         (   0 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :  104 (   0 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t87_filter_2,conjecture,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( ( r3_lattices(X1,X2,X3)
                  & l3_lattices(X1)
                  & v17_lattices(X1)
                  & v10_lattices(X1)
                  & ~ v3_struct_0(X1) )
               => ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t87_filter_2) ).

fof(cc6_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( v16_lattices(X1)
          & v15_lattices(X1)
          & v11_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( v17_lattices(X1)
          & ~ v3_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).

fof(t86_filter_2,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( ( r3_lattices(X1,X2,X3)
                  & v12_lattices(X1)
                  & l3_lattices(X1)
                  & v16_lattices(X1)
                  & v15_lattices(X1)
                  & v10_lattices(X1)
                  & ~ v3_struct_0(X1) )
               => ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_filter_2) ).

fof(cc5_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( v17_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( v16_lattices(X1)
          & v15_lattices(X1)
          & v14_lattices(X1)
          & v13_lattices(X1)
          & v11_lattices(X1)
          & ~ v3_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).

fof(t78_filter_2,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( ( m2_lattice4(X2,X1)
            & ~ v1_xboole_0(X2) )
         => ( v11_lattices(X1)
           => v11_lattices(k23_filter_2(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_filter_2) ).

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

fof(fc5_filter_2,axiom,
    ! [X1,X2] :
      ( ( m2_lattice4(X2,X1)
        & ~ v1_xboole_0(X2)
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( v10_lattices(k23_filter_2(X1,X2))
        & v9_lattices(k23_filter_2(X1,X2))
        & v8_lattices(k23_filter_2(X1,X2))
        & v7_lattices(k23_filter_2(X1,X2))
        & v6_lattices(k23_filter_2(X1,X2))
        & v5_lattices(k23_filter_2(X1,X2))
        & v4_lattices(k23_filter_2(X1,X2))
        & v3_lattices(k23_filter_2(X1,X2))
        & ~ v3_struct_0(k23_filter_2(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).

fof(dt_m2_nat_lat,axiom,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m2_nat_lat(X2,X1)
         => ( l3_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_nat_lat) ).

fof(dt_k23_filter_2,axiom,
    ! [X1,X2] :
      ( ( m2_lattice4(X2,X1)
        & ~ v1_xboole_0(X2)
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => m2_nat_lat(k23_filter_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k23_filter_2) ).

fof(cc7_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( v11_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( v12_lattices(X1)
          & v10_lattices(X1)
          & v9_lattices(X1)
          & v8_lattices(X1)
          & v7_lattices(X1)
          & v6_lattices(X1)
          & v5_lattices(X1)
          & v4_lattices(X1)
          & ~ v3_struct_0(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_lattices) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ( l3_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,u1_struct_0(X1))
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ( ( r3_lattices(X1,X2,X3)
                    & l3_lattices(X1)
                    & v17_lattices(X1)
                    & v10_lattices(X1)
                    & ~ v3_struct_0(X1) )
                 => ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[t87_filter_2]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ( l3_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ! [X2] :
            ( m1_subset_1(X2,u1_struct_0(X1))
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X1))
               => ( ( r3_lattices(X1,X2,X3)
                    & l3_lattices(X1)
                    & v17_lattices(X1)
                    & v10_lattices(X1)
                    & ~ v3_struct_0(X1) )
                 => ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_12,plain,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( v16_lattices(X1)
          & v15_lattices(X1)
          & v11_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( v17_lattices(X1)
          & ~ v3_struct_0(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc6_lattices]) ).

fof(c_0_13,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m1_subset_1(X2,u1_struct_0(X1))
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X1))
             => ( ( r3_lattices(X1,X2,X3)
                  & v12_lattices(X1)
                  & l3_lattices(X1)
                  & v16_lattices(X1)
                  & v15_lattices(X1)
                  & v10_lattices(X1)
                  & ~ v3_struct_0(X1) )
               => ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t86_filter_2]) ).

fof(c_0_14,plain,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( v17_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( v16_lattices(X1)
          & v15_lattices(X1)
          & v14_lattices(X1)
          & v13_lattices(X1)
          & v11_lattices(X1)
          & ~ v3_struct_0(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc5_lattices]) ).

fof(c_0_15,negated_conjecture,
    ( ( ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
      | ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
      | ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
      | v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) )
    & r3_lattices(esk1_0,esk2_0,esk3_0)
    & l3_lattices(esk1_0)
    & v17_lattices(esk1_0)
    & v10_lattices(esk1_0)
    & ~ v3_struct_0(esk1_0)
    & m1_subset_1(esk3_0,u1_struct_0(esk1_0))
    & m1_subset_1(esk2_0,u1_struct_0(esk1_0))
    & l3_lattices(esk1_0)
    & v10_lattices(esk1_0)
    & ~ v3_struct_0(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

fof(c_0_16,plain,
    ! [X24] :
      ( ( ~ l3_lattices(X24)
        | ~ v16_lattices(X24)
        | ~ v15_lattices(X24)
        | ~ v11_lattices(X24)
        | v3_struct_0(X24)
        | v17_lattices(X24) )
      & ( ~ l3_lattices(X24)
        | ~ v16_lattices(X24)
        | ~ v15_lattices(X24)
        | ~ v11_lattices(X24)
        | v3_struct_0(X24)
        | ~ v3_struct_0(X24) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).

fof(c_0_17,plain,
    ! [X20,X21,X22] :
      ( ( ~ l3_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | ~ m1_subset_1(X21,u1_struct_0(X20))
        | ~ m1_subset_1(X22,u1_struct_0(X20))
        | ~ r3_lattices(X20,X21,X22)
        | ~ v12_lattices(X20)
        | ~ l3_lattices(X20)
        | ~ v16_lattices(X20)
        | ~ v15_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | l3_lattices(k23_filter_2(X20,k22_filter_2(X20,X21,X22))) )
      & ( ~ l3_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | ~ m1_subset_1(X21,u1_struct_0(X20))
        | ~ m1_subset_1(X22,u1_struct_0(X20))
        | ~ r3_lattices(X20,X21,X22)
        | ~ v12_lattices(X20)
        | ~ l3_lattices(X20)
        | ~ v16_lattices(X20)
        | ~ v15_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | v16_lattices(k23_filter_2(X20,k22_filter_2(X20,X21,X22))) )
      & ( ~ l3_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | ~ m1_subset_1(X21,u1_struct_0(X20))
        | ~ m1_subset_1(X22,u1_struct_0(X20))
        | ~ r3_lattices(X20,X21,X22)
        | ~ v12_lattices(X20)
        | ~ l3_lattices(X20)
        | ~ v16_lattices(X20)
        | ~ v15_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | v15_lattices(k23_filter_2(X20,k22_filter_2(X20,X21,X22))) )
      & ( ~ l3_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | ~ m1_subset_1(X21,u1_struct_0(X20))
        | ~ m1_subset_1(X22,u1_struct_0(X20))
        | ~ r3_lattices(X20,X21,X22)
        | ~ v12_lattices(X20)
        | ~ l3_lattices(X20)
        | ~ v16_lattices(X20)
        | ~ v15_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | v10_lattices(k23_filter_2(X20,k22_filter_2(X20,X21,X22))) )
      & ( ~ l3_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | ~ m1_subset_1(X21,u1_struct_0(X20))
        | ~ m1_subset_1(X22,u1_struct_0(X20))
        | ~ r3_lattices(X20,X21,X22)
        | ~ v12_lattices(X20)
        | ~ l3_lattices(X20)
        | ~ v16_lattices(X20)
        | ~ v15_lattices(X20)
        | ~ v10_lattices(X20)
        | v3_struct_0(X20)
        | ~ v3_struct_0(k23_filter_2(X20,k22_filter_2(X20,X21,X22))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

fof(c_0_18,plain,
    ! [X23] :
      ( ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v16_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v15_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v14_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v13_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | v11_lattices(X23) )
      & ( ~ l3_lattices(X23)
        | ~ v17_lattices(X23)
        | v3_struct_0(X23)
        | ~ v3_struct_0(X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v17_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( ~ l3_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v11_lattices(X1)
    | v3_struct_0(X1)
    | v17_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    ( ~ 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)
    | ~ v12_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v10_lattices(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X1)
    | v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    ( ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | v3_struct_0(X1)
    | v16_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    v17_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_26,plain,
    ( ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | v3_struct_0(X1)
    | v15_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_27,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( ( m2_lattice4(X2,X1)
            & ~ v1_xboole_0(X2) )
         => ( v11_lattices(X1)
           => v11_lattices(k23_filter_2(X1,X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[t78_filter_2]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v16_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_29,plain,
    ( ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r3_lattices(X1,X2,X3)
    | ~ v12_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | v3_struct_0(X1) ),
    inference(cn,[status(thm)],[c_0_21]) ).

cnf(c_0_30,negated_conjecture,
    v16_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    v15_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    r3_lattices(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_33,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_34,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_35,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_36,plain,
    ! [X15,X16] :
      ( v11_lattices(k23_filter_2(X15,X16))
      | ~ v11_lattices(X15)
      | ~ m2_lattice4(X16,X15)
      | v1_xboole_0(X16)
      | ~ l3_lattices(X15)
      | ~ v10_lattices(X15)
      | v3_struct_0(X15) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).

cnf(c_0_37,plain,
    ( ~ l3_lattices(X1)
    | ~ v17_lattices(X1)
    | v3_struct_0(X1)
    | v11_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v11_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v12_lattices(esk1_0)
    | v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_24]),c_0_35])]),c_0_25]) ).

cnf(c_0_39,plain,
    ( ~ v11_lattices(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v11_lattices(k23_filter_2(X1,X2))
    | v1_xboole_0(X2)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    v11_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_23]),c_0_24])]),c_0_25]) ).

cnf(c_0_41,plain,
    ( ~ 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)
    | ~ v12_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v10_lattices(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X1)
    | v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_42,plain,
    ! [X1,X2,X3] :
      ( ( m1_subset_1(X3,u1_struct_0(X1))
        & m1_subset_1(X2,u1_struct_0(X1))
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( m2_lattice4(k22_filter_2(X1,X2,X3),X1)
        & ~ v1_xboole_0(k22_filter_2(X1,X2,X3)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k22_filter_2]) ).

fof(c_0_43,plain,
    ! [X1,X2] :
      ( ( m2_lattice4(X2,X1)
        & ~ v1_xboole_0(X2)
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ( v10_lattices(k23_filter_2(X1,X2))
        & v9_lattices(k23_filter_2(X1,X2))
        & v8_lattices(k23_filter_2(X1,X2))
        & v7_lattices(k23_filter_2(X1,X2))
        & v6_lattices(k23_filter_2(X1,X2))
        & v5_lattices(k23_filter_2(X1,X2))
        & v4_lattices(k23_filter_2(X1,X2))
        & v3_lattices(k23_filter_2(X1,X2))
        & ~ v3_struct_0(k23_filter_2(X1,X2)) ) ),
    inference(fof_simplification,[status(thm)],[fc5_filter_2]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v15_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v12_lattices(esk1_0)
    | ~ m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0)
    | v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_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_38,c_0_39]),c_0_40]),c_0_24]),c_0_35])]),c_0_25]) ).

cnf(c_0_45,plain,
    ( ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r3_lattices(X1,X2,X3)
    | ~ v12_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | v3_struct_0(X1) ),
    inference(cn,[status(thm)],[c_0_41]) ).

fof(c_0_46,plain,
    ! [X17,X18,X19] :
      ( ( ~ m1_subset_1(X19,u1_struct_0(X17))
        | ~ m1_subset_1(X18,u1_struct_0(X17))
        | ~ l3_lattices(X17)
        | ~ v10_lattices(X17)
        | v3_struct_0(X17)
        | m2_lattice4(k22_filter_2(X17,X18,X19),X17) )
      & ( ~ m1_subset_1(X19,u1_struct_0(X17))
        | ~ m1_subset_1(X18,u1_struct_0(X17))
        | ~ l3_lattices(X17)
        | ~ v10_lattices(X17)
        | v3_struct_0(X17)
        | ~ v1_xboole_0(k22_filter_2(X17,X18,X19)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).

fof(c_0_47,plain,
    ! [X13,X14] :
      ( ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | v10_lattices(k23_filter_2(X13,X14)) )
      & ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | v9_lattices(k23_filter_2(X13,X14)) )
      & ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | v8_lattices(k23_filter_2(X13,X14)) )
      & ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | v7_lattices(k23_filter_2(X13,X14)) )
      & ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | v6_lattices(k23_filter_2(X13,X14)) )
      & ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | v5_lattices(k23_filter_2(X13,X14)) )
      & ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | v4_lattices(k23_filter_2(X13,X14)) )
      & ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | v3_lattices(k23_filter_2(X13,X14)) )
      & ( ~ m2_lattice4(X14,X13)
        | v1_xboole_0(X14)
        | ~ l3_lattices(X13)
        | ~ v10_lattices(X13)
        | v3_struct_0(X13)
        | ~ v3_struct_0(k23_filter_2(X13,X14)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).

fof(c_0_48,plain,
    ! [X1] :
      ( ( l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( m2_nat_lat(X2,X1)
         => ( l3_lattices(X2)
            & v10_lattices(X2)
            & ~ v3_struct_0(X2) ) ) ),
    inference(fof_simplification,[status(thm)],[dt_m2_nat_lat]) ).

fof(c_0_49,plain,
    ! [X1,X2] :
      ( ( m2_lattice4(X2,X1)
        & ~ v1_xboole_0(X2)
        & l3_lattices(X1)
        & v10_lattices(X1)
        & ~ v3_struct_0(X1) )
     => m2_nat_lat(k23_filter_2(X1,X2),X1) ),
    inference(fof_simplification,[status(thm)],[dt_k23_filter_2]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v12_lattices(esk1_0)
    | ~ m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0)
    | v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_24]),c_0_35])]),c_0_25]) ).

cnf(c_0_51,plain,
    ( ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v3_struct_0(X1)
    | m2_lattice4(k22_filter_2(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_52,plain,
    ( ~ m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1)
    | v10_lattices(k23_filter_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_53,plain,
    ( ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_54,plain,
    ! [X31,X32] :
      ( ( ~ l3_lattices(X31)
        | ~ v10_lattices(X31)
        | v3_struct_0(X31)
        | ~ m2_nat_lat(X32,X31)
        | l3_lattices(X32) )
      & ( ~ l3_lattices(X31)
        | ~ v10_lattices(X31)
        | v3_struct_0(X31)
        | ~ m2_nat_lat(X32,X31)
        | v10_lattices(X32) )
      & ( ~ l3_lattices(X31)
        | ~ v10_lattices(X31)
        | v3_struct_0(X31)
        | ~ m2_nat_lat(X32,X31)
        | ~ v3_struct_0(X32) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])]) ).

fof(c_0_55,plain,
    ! [X11,X12] :
      ( m2_nat_lat(k23_filter_2(X11,X12),X11)
      | ~ m2_lattice4(X12,X11)
      | v1_xboole_0(X12)
      | ~ l3_lattices(X11)
      | ~ v10_lattices(X11)
      | v3_struct_0(X11) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).

cnf(c_0_56,plain,
    ( ~ m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v3_struct_0(k23_filter_2(X1,X2))
    | v1_xboole_0(X2)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v12_lattices(esk1_0)
    | v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_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_50,c_0_51]),c_0_33]),c_0_34]),c_0_24]),c_0_35])]),c_0_25]) ).

cnf(c_0_58,plain,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | v3_struct_0(X1)
    | v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_53]) ).

cnf(c_0_59,plain,
    ( ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m2_nat_lat(X1,X2)
    | v3_struct_0(X2)
    | l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_60,plain,
    ( ~ m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | m2_nat_lat(k23_filter_2(X1,X2),X1)
    | v1_xboole_0(X2)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_61,plain,
    ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X3,X2)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | v3_struct_0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_51]),c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v12_lattices(esk1_0)
    | v3_struct_0(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_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_57,c_0_58]),c_0_33]),c_0_34]),c_0_24]),c_0_35])]),c_0_25]) ).

cnf(c_0_63,plain,
    ( ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ m2_lattice4(X1,X2)
    | v3_struct_0(X2)
    | l3_lattices(k23_filter_2(X2,X1))
    | v1_xboole_0(X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0)))
    | ~ v12_lattices(esk1_0)
    | v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_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_61,c_0_62]),c_0_33]),c_0_34]),c_0_24]),c_0_35])]),c_0_25]) ).

cnf(c_0_65,plain,
    ( ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | v3_struct_0(X1)
    | l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_51]),c_0_53]) ).

fof(c_0_66,plain,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( v11_lattices(X1)
          & v10_lattices(X1)
          & ~ v3_struct_0(X1) )
       => ( v12_lattices(X1)
          & v10_lattices(X1)
          & v9_lattices(X1)
          & v8_lattices(X1)
          & v7_lattices(X1)
          & v6_lattices(X1)
          & v5_lattices(X1)
          & v4_lattices(X1)
          & ~ v3_struct_0(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc7_lattices]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ v12_lattices(esk1_0)
    | v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_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_64,c_0_65]),c_0_33]),c_0_34]),c_0_24]),c_0_35])]),c_0_25]) ).

fof(c_0_68,plain,
    ! [X56] :
      ( ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | v12_lattices(X56) )
      & ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | v10_lattices(X56) )
      & ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | v9_lattices(X56) )
      & ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | v8_lattices(X56) )
      & ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | v7_lattices(X56) )
      & ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | v6_lattices(X56) )
      & ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | v5_lattices(X56) )
      & ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | v4_lattices(X56) )
      & ( ~ l3_lattices(X56)
        | ~ v11_lattices(X56)
        | ~ v10_lattices(X56)
        | v3_struct_0(X56)
        | ~ v3_struct_0(X56) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).

cnf(c_0_69,negated_conjecture,
    ~ v12_lattices(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_53,c_0_67]),c_0_33]),c_0_34]),c_0_24]),c_0_35])]),c_0_25]) ).

cnf(c_0_70,plain,
    ( ~ l3_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ v10_lattices(X1)
    | v3_struct_0(X1)
    | v12_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    $false,
    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_40]),c_0_24]),c_0_35])]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT337+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.46  % Computer : n017.cluster.edu
% 0.17/0.46  % Model    : x86_64 x86_64
% 0.17/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46  % Memory   : 8046.5625MB
% 0.17/0.46  % OS       : Linux 6.8.0-71-generic
% 0.17/0.46  % CPULimit : 300
% 0.17/0.46  % WCLimit  : 300
% 0.17/0.46  % DateTime : Sun Sep 20 23:36:41 UTC 2026
% 0.17/0.46  % CPUTime  : 
% 0.17/0.46  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.54  Running first-order theorem proving
% 0.21/0.54  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.66  % Version: 3.5.1
% 0.55/0.66  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.55/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.66  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.55/0.66  % Starting new_bool_3 with 300s (1) cores
% 0.55/0.66  % Starting new_bool_1 with 300s (1) cores
% 0.55/0.66  % Starting sh5l with 300s (1) cores
% 0.55/0.66  % new_bool_1 with pid 905707 completed with status 0
% 0.55/0.66  % Result found by new_bool_1
% 0.55/0.66  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.55/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.66  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.55/0.66  % Starting new_bool_3 with 300s (1) cores
% 0.55/0.66  % Starting new_bool_1 with 300s (1) cores
% 0.55/0.66  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.55/0.66  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.55/0.66  % Search class: FGUSS-FSMM31-SFFFFFNN
% 0.55/0.66  % partial match(2): FGHSS-FFMM31-SFFFFFNN
% 0.55/0.66  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.55/0.66  % Starting SubtermCWHack with 28s (1) cores
% 0.55/0.66  % SubtermCWHack with pid 905714 completed with status 0
% 0.55/0.66  % Result found by SubtermCWHack
% 0.55/0.66  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.55/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.55/0.66  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.55/0.66  % Starting new_bool_3 with 300s (1) cores
% 0.55/0.66  % Starting new_bool_1 with 300s (1) cores
% 0.55/0.66  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.55/0.66  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.55/0.66  % Search class: FGUSS-FSMM31-SFFFFFNN
% 0.55/0.66  % partial match(2): FGHSS-FFMM31-SFFFFFNN
% 0.55/0.66  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.55/0.66  % Starting SubtermCWHack with 28s (1) cores
% 0.55/0.66  % Preprocessing time       : 0.004 s
% 0.55/0.66  
% 0.55/0.66  % Proof found!
% 0.55/0.66  % SZS status Theorem
% 0.55/0.66  % SZS output start CNFRefutation
% See solution above
% 0.55/0.67  % Parsed axioms                        : 83
% 0.55/0.67  % Removed by relevancy pruning/SinE    : 47
% 0.55/0.67  % Initial clauses                      : 162
% 0.55/0.67  % Removed in clause preprocessing      : 8
% 0.55/0.67  % Initial clauses in saturation        : 154
% 0.55/0.67  % Processed clauses                    : 196
% 0.55/0.67  % ...of these trivial                  : 2
% 0.55/0.67  % ...subsumed                          : 16
% 0.55/0.67  % ...remaining for further processing  : 178
% 0.55/0.67  % Other redundant clauses eliminated   : 0
% 0.55/0.67  % Clauses deleted for lack of memory   : 0
% 0.55/0.67  % Backward-subsumed                    : 9
% 0.55/0.67  % Backward-rewritten                   : 2
% 0.55/0.67  % Generated clauses                    : 62
% 0.55/0.67  % ...of the previous two non-redundant : 46
% 0.55/0.67  % ...aggressively subsumed             : 0
% 0.55/0.67  % Contextual simplify-reflections      : 6
% 0.55/0.67  % Paramodulations                      : 62
% 0.55/0.67  % Factorizations                       : 0
% 0.55/0.67  % NegExts                              : 0
% 0.55/0.67  % Equation resolutions                 : 0
% 0.55/0.67  % Disequality decompositions           : 0
% 0.55/0.67  % Total rewrite steps                  : 102
% 0.55/0.67  % ...of those cached                   : 48
% 0.55/0.67  % Propositional unsat checks           : 0
% 0.55/0.67  %    Propositional check models        : 0
% 0.55/0.67  %    Propositional check unsatisfiable : 0
% 0.55/0.67  %    Propositional clauses             : 0
% 0.55/0.67  %    Propositional clauses after purity: 0
% 0.55/0.67  %    Propositional unsat core size     : 0
% 0.55/0.67  %    Propositional preprocessing time  : 0.000
% 0.55/0.67  %    Propositional encoding time       : 0.000
% 0.55/0.67  %    Propositional solver time         : 0.000
% 0.55/0.67  %    Success case prop preproc time    : 0.000
% 0.55/0.67  %    Success case prop encoding time   : 0.000
% 0.55/0.67  %    Success case prop solver time     : 0.000
% 0.55/0.67  % Current number of processed clauses  : 167
% 0.55/0.67  %    Positive orientable unit clauses  : 83
% 0.55/0.67  %    Positive unorientable unit clauses: 0
% 0.55/0.67  %    Negative unit clauses             : 10
% 0.55/0.67  %    Non-unit-clauses                  : 74
% 0.55/0.67  % Current number of unprocessed clauses: 3
% 0.55/0.67  % ...number of literals in the above   : 18
% 0.55/0.67  % Current number of archived formulas  : 0
% 0.55/0.67  % Current number of archived clauses   : 11
% 0.55/0.67  % Clause-clause subsumption calls (NU) : 3920
% 0.55/0.67  % Rec. Clause-clause subsumption calls : 529
% 0.55/0.67  % Non-unit clause-clause subsumptions  : 28
% 0.55/0.67  % Unit Clause-clause subsumption calls : 109
% 0.55/0.67  % Rewrite failures with RHS unbound    : 0
% 0.55/0.67  % BW rewrite match attempts            : 1
% 0.55/0.67  % BW rewrite match successes           : 1
% 0.55/0.67  % Condensation attempts                : 0
% 0.55/0.67  % Condensation successes               : 0
% 0.55/0.67  % Termbank termtop insertions          : 11311
% 0.55/0.67  % Search garbage collected termcells   : 1719
% 0.55/0.67  
% 0.55/0.67  % -------------------------------------------------
% 0.55/0.67  % User time                : 0.027 s
% 0.55/0.67  % System time              : 0.007 s
% 0.55/0.67  % Total time               : 0.034 s
% 0.55/0.67  % Maximum resident set size: 3984 pages
% 0.55/0.67  
% 0.55/0.67  % -------------------------------------------------
% 0.55/0.67  % User time                : 0.033 s
% 0.55/0.67  % System time              : 0.015 s
% 0.55/0.67  % Total time               : 0.047 s
% 0.55/0.67  % Maximum resident set size: 4608 pages
% 0.55/0.67  % E exiting
%------------------------------------------------------------------------------