TSTP Solution File: LAT337+4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LAT337+4 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:24:49 EDT 2024

% Result   : Theorem 18.35s 3.92s
% Output   : CNFRefutation 18.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   77 (  20 unt;   0 def)
%            Number of atoms       :  656 (   6 equ)
%            Maximal formula atoms :   65 (   8 avg)
%            Number of connectives :  906 ( 327   ~; 348   |; 177   &)
%                                         (   0 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  22 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :  107 (   1 sgn  67   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',dt_k22_filter_2) ).

fof(t87_filter_2,conjecture,
    ! [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))
             => ( ( ~ v3_struct_0(X1)
                  & v10_lattices(X1)
                  & v17_lattices(X1)
                  & l3_lattices(X1)
                  & r3_lattices(X1,X2,X3) )
               => ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t87_filter_2) ).

fof(t64_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))
             => ( r3_lattices(X1,X2,X3)
               => ( r2_hidden(X2,k22_filter_2(X1,X2,X3))
                  & r2_hidden(X3,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_filter_2) ).

fof(fc5_filter_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v1_xboole_0(X2)
        & m2_lattice4(X2,X1) )
     => ( ~ v3_struct_0(k23_filter_2(X1,X2))
        & v3_lattices(k23_filter_2(X1,X2))
        & v4_lattices(k23_filter_2(X1,X2))
        & v5_lattices(k23_filter_2(X1,X2))
        & v6_lattices(k23_filter_2(X1,X2))
        & v7_lattices(k23_filter_2(X1,X2))
        & v8_lattices(k23_filter_2(X1,X2))
        & v9_lattices(k23_filter_2(X1,X2))
        & v10_lattices(k23_filter_2(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_filter_2) ).

fof(cc7_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v11_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v4_lattices(X1)
          & v5_lattices(X1)
          & v6_lattices(X1)
          & v7_lattices(X1)
          & v8_lattices(X1)
          & v9_lattices(X1)
          & v10_lattices(X1)
          & v12_lattices(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',cc7_lattices) ).

fof(cc5_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v17_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v11_lattices(X1)
          & v13_lattices(X1)
          & v14_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',cc5_lattices) ).

fof(t78_filter_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v1_xboole_0(X2)
            & m2_lattice4(X2,X1) )
         => ( v11_lattices(X1)
           => v11_lattices(k23_filter_2(X1,X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_filter_2) ).

fof(t7_boole,axiom,
    ! [X1,X2] :
      ~ ( r2_hidden(X1,X2)
        & v1_xboole_0(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).

fof(t86_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))
             => ( ( ~ v3_struct_0(X1)
                  & v10_lattices(X1)
                  & v15_lattices(X1)
                  & v16_lattices(X1)
                  & l3_lattices(X1)
                  & v12_lattices(X1)
                  & r3_lattices(X1,X2,X3) )
               => ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_filter_2) ).

fof(cc6_lattices,axiom,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v11_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v17_lattices(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',cc6_lattices) ).

fof(t84_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))
             => ( r3_lattices(X1,X2,X3)
               => ( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & k6_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X3
                  & k5_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t84_filter_2) ).

fof(c_0_11,plain,
    ! [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) ) ),
    inference(fof_simplification,[status(thm)],[dt_k22_filter_2]) ).

fof(c_0_12,negated_conjecture,
    ~ ! [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))
               => ( ( ~ v3_struct_0(X1)
                    & v10_lattices(X1)
                    & v17_lattices(X1)
                    & l3_lattices(X1)
                    & r3_lattices(X1,X2,X3) )
                 => ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                    & l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t87_filter_2])]) ).

fof(c_0_13,plain,
    ! [X78,X79,X80] :
      ( ( ~ v1_xboole_0(k22_filter_2(X78,X79,X80))
        | v3_struct_0(X78)
        | ~ v10_lattices(X78)
        | ~ l3_lattices(X78)
        | ~ m1_subset_1(X79,u1_struct_0(X78))
        | ~ m1_subset_1(X80,u1_struct_0(X78)) )
      & ( m2_lattice4(k22_filter_2(X78,X79,X80),X78)
        | v3_struct_0(X78)
        | ~ v10_lattices(X78)
        | ~ l3_lattices(X78)
        | ~ m1_subset_1(X79,u1_struct_0(X78))
        | ~ m1_subset_1(X80,u1_struct_0(X78)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

fof(c_0_14,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))
    & m1_subset_1(esk3_0,u1_struct_0(esk1_0))
    & ~ v3_struct_0(esk1_0)
    & v10_lattices(esk1_0)
    & v17_lattices(esk1_0)
    & l3_lattices(esk1_0)
    & r3_lattices(esk1_0,esk2_0,esk3_0)
    & ( v3_struct_0(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)))
      | ~ v17_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))) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).

fof(c_0_15,plain,
    ! [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))
             => ( r3_lattices(X1,X2,X3)
               => ( r2_hidden(X2,k22_filter_2(X1,X2,X3))
                  & r2_hidden(X3,k22_filter_2(X1,X2,X3)) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t64_filter_2]) ).

fof(c_0_16,plain,
    ! [X1,X2] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1)
        & ~ v1_xboole_0(X2)
        & m2_lattice4(X2,X1) )
     => ( ~ v3_struct_0(k23_filter_2(X1,X2))
        & v3_lattices(k23_filter_2(X1,X2))
        & v4_lattices(k23_filter_2(X1,X2))
        & v5_lattices(k23_filter_2(X1,X2))
        & v6_lattices(k23_filter_2(X1,X2))
        & v7_lattices(k23_filter_2(X1,X2))
        & v8_lattices(k23_filter_2(X1,X2))
        & v9_lattices(k23_filter_2(X1,X2))
        & v10_lattices(k23_filter_2(X1,X2)) ) ),
    inference(fof_simplification,[status(thm)],[fc5_filter_2]) ).

cnf(c_0_17,plain,
    ( m2_lattice4(k22_filter_2(X1,X2,X3),X1)
    | 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)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    v10_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    l3_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_22,plain,
    ! [X85,X86,X87] :
      ( ( r2_hidden(X86,k22_filter_2(X85,X86,X87))
        | ~ r3_lattices(X85,X86,X87)
        | ~ m1_subset_1(X87,u1_struct_0(X85))
        | ~ m1_subset_1(X86,u1_struct_0(X85))
        | v3_struct_0(X85)
        | ~ v10_lattices(X85)
        | ~ l3_lattices(X85) )
      & ( r2_hidden(X87,k22_filter_2(X85,X86,X87))
        | ~ r3_lattices(X85,X86,X87)
        | ~ m1_subset_1(X87,u1_struct_0(X85))
        | ~ m1_subset_1(X86,u1_struct_0(X85))
        | v3_struct_0(X85)
        | ~ v10_lattices(X85)
        | ~ l3_lattices(X85) ) ),
    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_15])])])])]) ).

fof(c_0_23,plain,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v10_lattices(X1)
          & v11_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v4_lattices(X1)
          & v5_lattices(X1)
          & v6_lattices(X1)
          & v7_lattices(X1)
          & v8_lattices(X1)
          & v9_lattices(X1)
          & v10_lattices(X1)
          & v12_lattices(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc7_lattices]) ).

fof(c_0_24,plain,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v17_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v11_lattices(X1)
          & v13_lattices(X1)
          & v14_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc5_lattices]) ).

fof(c_0_25,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v10_lattices(X1)
        & l3_lattices(X1) )
     => ! [X2] :
          ( ( ~ v1_xboole_0(X2)
            & m2_lattice4(X2,X1) )
         => ( v11_lattices(X1)
           => v11_lattices(k23_filter_2(X1,X2)) ) ) ),
    inference(fof_simplification,[status(thm)],[t78_filter_2]) ).

fof(c_0_26,plain,
    ! [X56,X57] :
      ( ( ~ v3_struct_0(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) )
      & ( v3_lattices(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) )
      & ( v4_lattices(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) )
      & ( v5_lattices(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) )
      & ( v6_lattices(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) )
      & ( v7_lattices(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) )
      & ( v8_lattices(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) )
      & ( v9_lattices(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) )
      & ( v10_lattices(k23_filter_2(X56,X57))
        | v3_struct_0(X56)
        | ~ v10_lattices(X56)
        | ~ l3_lattices(X56)
        | v1_xboole_0(X57)
        | ~ m2_lattice4(X57,X56) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).

cnf(c_0_27,negated_conjecture,
    ( m2_lattice4(k22_filter_2(esk1_0,X1,esk3_0),esk1_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_17,c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_29,plain,
    ! [X204,X205] :
      ( ~ r2_hidden(X204,X205)
      | ~ v1_xboole_0(X205) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).

cnf(c_0_30,plain,
    ( r2_hidden(X1,k22_filter_2(X2,X3,X1))
    | v3_struct_0(X2)
    | ~ r3_lattices(X2,X3,X1)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    r3_lattices(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_32,plain,
    ! [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))
             => ( ( ~ v3_struct_0(X1)
                  & v10_lattices(X1)
                  & v15_lattices(X1)
                  & v16_lattices(X1)
                  & l3_lattices(X1)
                  & v12_lattices(X1)
                  & r3_lattices(X1,X2,X3) )
               => ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t86_filter_2]) ).

fof(c_0_33,plain,
    ! [X308] :
      ( ( ~ v3_struct_0(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) )
      & ( v4_lattices(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) )
      & ( v5_lattices(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) )
      & ( v6_lattices(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) )
      & ( v7_lattices(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) )
      & ( v8_lattices(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) )
      & ( v9_lattices(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) )
      & ( v10_lattices(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) )
      & ( v12_lattices(X308)
        | v3_struct_0(X308)
        | ~ v10_lattices(X308)
        | ~ v11_lattices(X308)
        | ~ l3_lattices(X308) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).

fof(c_0_34,plain,
    ! [X451] :
      ( ( ~ v3_struct_0(X451)
        | v3_struct_0(X451)
        | ~ v17_lattices(X451)
        | ~ l3_lattices(X451) )
      & ( v11_lattices(X451)
        | v3_struct_0(X451)
        | ~ v17_lattices(X451)
        | ~ l3_lattices(X451) )
      & ( v13_lattices(X451)
        | v3_struct_0(X451)
        | ~ v17_lattices(X451)
        | ~ l3_lattices(X451) )
      & ( v14_lattices(X451)
        | v3_struct_0(X451)
        | ~ v17_lattices(X451)
        | ~ l3_lattices(X451) )
      & ( v15_lattices(X451)
        | v3_struct_0(X451)
        | ~ v17_lattices(X451)
        | ~ l3_lattices(X451) )
      & ( v16_lattices(X451)
        | v3_struct_0(X451)
        | ~ v17_lattices(X451)
        | ~ l3_lattices(X451) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).

fof(c_0_35,plain,
    ! [X76,X77] :
      ( v3_struct_0(X76)
      | ~ v10_lattices(X76)
      | ~ l3_lattices(X76)
      | v1_xboole_0(X77)
      | ~ m2_lattice4(X77,X76)
      | ~ v11_lattices(X76)
      | v11_lattices(k23_filter_2(X76,X77)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).

cnf(c_0_36,plain,
    ( v10_lattices(k23_filter_2(X1,X2))
    | v3_struct_0(X1)
    | v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,negated_conjecture,
    m2_lattice4(k22_filter_2(esk1_0,esk2_0,esk3_0),esk1_0),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_38,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ v1_xboole_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    r2_hidden(esk3_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_30,c_0_31]),c_0_19]),c_0_20]),c_0_28]),c_0_18])]),c_0_21]) ).

fof(c_0_40,plain,
    ! [X98,X99,X100] :
      ( ( ~ v3_struct_0(k23_filter_2(X98,k22_filter_2(X98,X99,X100)))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ v15_lattices(X98)
        | ~ v16_lattices(X98)
        | ~ l3_lattices(X98)
        | ~ v12_lattices(X98)
        | ~ r3_lattices(X98,X99,X100)
        | ~ m1_subset_1(X100,u1_struct_0(X98))
        | ~ m1_subset_1(X99,u1_struct_0(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v10_lattices(k23_filter_2(X98,k22_filter_2(X98,X99,X100)))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ v15_lattices(X98)
        | ~ v16_lattices(X98)
        | ~ l3_lattices(X98)
        | ~ v12_lattices(X98)
        | ~ r3_lattices(X98,X99,X100)
        | ~ m1_subset_1(X100,u1_struct_0(X98))
        | ~ m1_subset_1(X99,u1_struct_0(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v15_lattices(k23_filter_2(X98,k22_filter_2(X98,X99,X100)))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ v15_lattices(X98)
        | ~ v16_lattices(X98)
        | ~ l3_lattices(X98)
        | ~ v12_lattices(X98)
        | ~ r3_lattices(X98,X99,X100)
        | ~ m1_subset_1(X100,u1_struct_0(X98))
        | ~ m1_subset_1(X99,u1_struct_0(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( v16_lattices(k23_filter_2(X98,k22_filter_2(X98,X99,X100)))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ v15_lattices(X98)
        | ~ v16_lattices(X98)
        | ~ l3_lattices(X98)
        | ~ v12_lattices(X98)
        | ~ r3_lattices(X98,X99,X100)
        | ~ m1_subset_1(X100,u1_struct_0(X98))
        | ~ m1_subset_1(X99,u1_struct_0(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) )
      & ( l3_lattices(k23_filter_2(X98,k22_filter_2(X98,X99,X100)))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ v15_lattices(X98)
        | ~ v16_lattices(X98)
        | ~ l3_lattices(X98)
        | ~ v12_lattices(X98)
        | ~ r3_lattices(X98,X99,X100)
        | ~ m1_subset_1(X100,u1_struct_0(X98))
        | ~ m1_subset_1(X99,u1_struct_0(X98))
        | v3_struct_0(X98)
        | ~ v10_lattices(X98)
        | ~ l3_lattices(X98) ) ),
    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_32])])])])]) ).

cnf(c_0_41,plain,
    ( v12_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ v11_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_42,plain,
    ( v11_lattices(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_43,plain,
    ! [X1] :
      ( l3_lattices(X1)
     => ( ( ~ v3_struct_0(X1)
          & v11_lattices(X1)
          & v15_lattices(X1)
          & v16_lattices(X1) )
       => ( ~ v3_struct_0(X1)
          & v17_lattices(X1) ) ) ),
    inference(fof_simplification,[status(thm)],[cc6_lattices]) ).

cnf(c_0_44,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | v11_lattices(k23_filter_2(X1,X2))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1)
    | ~ v11_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    ( v10_lattices(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(spm,[status(thm)],[c_0_36,c_0_37]),c_0_19]),c_0_20])]),c_0_21]) ).

cnf(c_0_46,negated_conjecture,
    ~ v1_xboole_0(k22_filter_2(esk1_0,esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,plain,
    ( l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | v3_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    ( v16_lattices(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_49,negated_conjecture,
    v17_lattices(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_50,plain,
    ( v15_lattices(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_51,plain,
    ( v12_lattices(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_52,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ v10_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_53,plain,
    ! [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))
             => ( r3_lattices(X1,X2,X3)
               => ( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
                  & k6_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X3
                  & k5_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) = X2 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t84_filter_2]) ).

fof(c_0_54,plain,
    ! [X452] :
      ( ( ~ v3_struct_0(X452)
        | v3_struct_0(X452)
        | ~ v11_lattices(X452)
        | ~ v15_lattices(X452)
        | ~ v16_lattices(X452)
        | ~ l3_lattices(X452) )
      & ( v17_lattices(X452)
        | v3_struct_0(X452)
        | ~ v11_lattices(X452)
        | ~ v15_lattices(X452)
        | ~ v16_lattices(X452)
        | ~ l3_lattices(X452) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).

cnf(c_0_55,negated_conjecture,
    ( v11_lattices(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))
    | ~ v11_lattices(esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_37]),c_0_19]),c_0_20])]),c_0_21]) ).

cnf(c_0_56,negated_conjecture,
    ( v3_struct_0(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)))
    | ~ v17_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))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_57,negated_conjecture,
    v10_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))),
    inference(sr,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_58,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(cn,[status(thm)],[c_0_47]) ).

cnf(c_0_59,negated_conjecture,
    v16_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_20])]),c_0_21]) ).

cnf(c_0_60,negated_conjecture,
    v15_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_20])]),c_0_21]) ).

cnf(c_0_61,negated_conjecture,
    v12_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_19]),c_0_20])]),c_0_21]) ).

cnf(c_0_62,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ),
    inference(cn,[status(thm)],[c_0_52]) ).

cnf(c_0_63,plain,
    ( v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | v3_struct_0(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_64,plain,
    ! [X95,X96,X97] :
      ( ( v15_lattices(k23_filter_2(X95,k22_filter_2(X95,X96,X97)))
        | ~ r3_lattices(X95,X96,X97)
        | ~ m1_subset_1(X97,u1_struct_0(X95))
        | ~ m1_subset_1(X96,u1_struct_0(X95))
        | v3_struct_0(X95)
        | ~ v10_lattices(X95)
        | ~ l3_lattices(X95) )
      & ( k6_lattices(k23_filter_2(X95,k22_filter_2(X95,X96,X97))) = X97
        | ~ r3_lattices(X95,X96,X97)
        | ~ m1_subset_1(X97,u1_struct_0(X95))
        | ~ m1_subset_1(X96,u1_struct_0(X95))
        | v3_struct_0(X95)
        | ~ v10_lattices(X95)
        | ~ l3_lattices(X95) )
      & ( k5_lattices(k23_filter_2(X95,k22_filter_2(X95,X96,X97))) = X96
        | ~ r3_lattices(X95,X96,X97)
        | ~ m1_subset_1(X97,u1_struct_0(X95))
        | ~ m1_subset_1(X96,u1_struct_0(X95))
        | v3_struct_0(X95)
        | ~ v10_lattices(X95)
        | ~ l3_lattices(X95) ) ),
    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_53])])])])]) ).

cnf(c_0_65,plain,
    ( v17_lattices(X1)
    | v3_struct_0(X1)
    | ~ v11_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_66,negated_conjecture,
    ( v11_lattices(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(spm,[status(thm)],[c_0_55,c_0_42]),c_0_49]),c_0_20])]),c_0_21]) ).

cnf(c_0_67,negated_conjecture,
    ( v3_struct_0(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)))
    | ~ l3_lattices(k23_filter_2(esk1_0,k22_filter_2(esk1_0,esk2_0,esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).

cnf(c_0_68,negated_conjecture,
    l3_lattices(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_58,c_0_31]),c_0_59]),c_0_60]),c_0_61]),c_0_19]),c_0_20]),c_0_18]),c_0_28])]),c_0_21]) ).

cnf(c_0_69,negated_conjecture,
    ~ 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_62,c_0_31]),c_0_59]),c_0_60]),c_0_61]),c_0_19]),c_0_20]),c_0_18]),c_0_28])]),c_0_21]) ).

cnf(c_0_70,plain,
    ( v3_struct_0(X1)
    | v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v12_lattices(X1)
    | ~ v15_lattices(X1)
    | ~ v16_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(cn,[status(thm)],[c_0_63]) ).

cnf(c_0_71,plain,
    ( v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
    | v3_struct_0(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    ( v17_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)))
    | v1_xboole_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)))
    | ~ v15_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))) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    ~ v17_lattices(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)],[c_0_67,c_0_68])]),c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    v16_lattices(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_70,c_0_31]),c_0_59]),c_0_60]),c_0_61]),c_0_19]),c_0_20]),c_0_18]),c_0_28])]),c_0_21]) ).

cnf(c_0_75,negated_conjecture,
    v15_lattices(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(spm,[status(thm)],[c_0_71,c_0_31]),c_0_19]),c_0_20]),c_0_18]),c_0_28])]),c_0_21]) ).

cnf(c_0_76,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_72,c_0_73,c_0_69,c_0_46,c_0_74,c_0_68,c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LAT337+4 : TPTP v8.2.0. Released v3.4.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n023.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    : 300
% 0.13/0.34  % DateTime   : Sun May 19 20:42:58 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 18.35/3.92  # Version: 3.1.0
% 18.35/3.92  # Preprocessing class: FMLLMLLLSSSNFFN.
% 18.35/3.92  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 18.35/3.92  # Starting new_bool_3 with 897s (3) cores
% 18.35/3.92  # Starting new_bool_1 with 897s (3) cores
% 18.35/3.92  # Starting sh5l with 299s (1) cores
% 18.35/3.92  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 18.35/3.92  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 1355 completed with status 0
% 18.35/3.92  # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 18.35/3.92  # Preprocessing class: FMLLMLLLSSSNFFN.
% 18.35/3.92  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 18.35/3.92  # Starting new_bool_3 with 897s (3) cores
% 18.35/3.92  # Starting new_bool_1 with 897s (3) cores
% 18.35/3.92  # Starting sh5l with 299s (1) cores
% 18.35/3.92  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 18.35/3.92  # SinE strategy is gf120_h_gu_R02_F100_L20000
% 18.35/3.92  # Search class: FGHSM-FSLM31-MFFFFFNN
% 18.35/3.92  # Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 18.35/3.92  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 18.35/3.92  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 1356 completed with status 0
% 18.35/3.92  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 18.35/3.92  # Preprocessing class: FMLLMLLLSSSNFFN.
% 18.35/3.92  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 18.35/3.92  # Starting new_bool_3 with 897s (3) cores
% 18.35/3.92  # Starting new_bool_1 with 897s (3) cores
% 18.35/3.92  # Starting sh5l with 299s (1) cores
% 18.35/3.92  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 18.35/3.92  # SinE strategy is gf120_h_gu_R02_F100_L20000
% 18.35/3.92  # Search class: FGHSM-FSLM31-MFFFFFNN
% 18.35/3.92  # Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 18.35/3.92  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 135s (1) cores
% 18.35/3.92  # Preprocessing time       : 0.030 s
% 18.35/3.92  # Presaturation interreduction done
% 18.35/3.92  # SatCheck found unsatisfiable ground set
% 18.35/3.92  
% 18.35/3.92  # Proof found!
% 18.35/3.92  # SZS status Theorem
% 18.35/3.92  # SZS output start CNFRefutation
% See solution above
% 18.35/3.92  # Parsed axioms                        : 34760
% 18.35/3.92  # Removed by relevancy pruning/SinE    : 34565
% 18.35/3.92  # Initial clauses                      : 677
% 18.35/3.92  # Removed in clause preprocessing      : 27
% 18.35/3.92  # Initial clauses in saturation        : 650
% 18.35/3.92  # Processed clauses                    : 10880
% 18.35/3.92  # ...of these trivial                  : 65
% 18.35/3.92  # ...subsumed                          : 5815
% 18.35/3.92  # ...remaining for further processing  : 5000
% 18.35/3.92  # Other redundant clauses eliminated   : 65
% 18.35/3.92  # Clauses deleted for lack of memory   : 0
% 18.35/3.92  # Backward-subsumed                    : 173
% 18.35/3.92  # Backward-rewritten                   : 129
% 18.35/3.92  # Generated clauses                    : 75061
% 18.35/3.92  # ...of the previous two non-redundant : 72993
% 18.35/3.92  # ...aggressively subsumed             : 0
% 18.35/3.92  # Contextual simplify-reflections      : 105
% 18.35/3.92  # Paramodulations                      : 74960
% 18.35/3.92  # Factorizations                       : 2
% 18.35/3.92  # NegExts                              : 0
% 18.35/3.92  # Equation resolutions                 : 70
% 18.35/3.92  # Disequality decompositions           : 0
% 18.35/3.92  # Total rewrite steps                  : 47727
% 18.35/3.92  # ...of those cached                   : 46968
% 18.35/3.92  # Propositional unsat checks           : 1
% 18.35/3.92  #    Propositional check models        : 0
% 18.35/3.92  #    Propositional check unsatisfiable : 1
% 18.35/3.92  #    Propositional clauses             : 67245
% 18.35/3.92  #    Propositional clauses after purity: 3128
% 18.35/3.92  #    Propositional unsat core size     : 7
% 18.35/3.92  #    Propositional preprocessing time  : 0.000
% 18.35/3.92  #    Propositional encoding time       : 0.082
% 18.35/3.92  #    Propositional solver time         : 0.008
% 18.35/3.92  #    Success case prop preproc time    : 0.000
% 18.35/3.92  #    Success case prop encoding time   : 0.082
% 18.35/3.92  #    Success case prop solver time     : 0.008
% 18.35/3.92  # Current number of processed clauses  : 4108
% 18.35/3.92  #    Positive orientable unit clauses  : 1156
% 18.35/3.92  #    Positive unorientable unit clauses: 0
% 18.35/3.92  #    Negative unit clauses             : 394
% 18.35/3.92  #    Non-unit-clauses                  : 2558
% 18.35/3.92  # Current number of unprocessed clauses: 63137
% 18.35/3.92  # ...number of literals in the above   : 234168
% 18.35/3.92  # Current number of archived formulas  : 0
% 18.35/3.92  # Current number of archived clauses   : 886
% 18.35/3.92  # Clause-clause subsumption calls (NU) : 690037
% 18.35/3.92  # Rec. Clause-clause subsumption calls : 220743
% 18.35/3.92  # Non-unit clause-clause subsumptions  : 1879
% 18.35/3.92  # Unit Clause-clause subsumption calls : 230846
% 18.35/3.92  # Rewrite failures with RHS unbound    : 0
% 18.35/3.92  # BW rewrite match attempts            : 7247
% 18.35/3.92  # BW rewrite match successes           : 79
% 18.35/3.92  # Condensation attempts                : 0
% 18.35/3.92  # Condensation successes               : 0
% 18.35/3.92  # Termbank termtop insertions          : 2982634
% 18.35/3.92  # Search garbage collected termcells   : 350452
% 18.35/3.92  
% 18.35/3.92  # -------------------------------------------------
% 18.35/3.92  # User time                : 2.174 s
% 18.35/3.92  # System time              : 0.174 s
% 18.35/3.92  # Total time               : 2.348 s
% 18.35/3.92  # Maximum resident set size: 67952 pages
% 18.35/3.92  
% 18.35/3.92  # -------------------------------------------------
% 18.35/3.92  # User time                : 3.131 s
% 18.35/3.92  # System time              : 0.236 s
% 18.35/3.92  # Total time               : 3.367 s
% 18.35/3.92  # Maximum resident set size: 53956 pages
% 18.35/3.92  % E---3.1 exiting
% 18.35/3.92  % E exiting
%------------------------------------------------------------------------------