TSTP Solution File: LAT374+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT374+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 04:48:05 EDT 2022

% Result   : Theorem 2.07s 233.23s
% Output   : CNFRefutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   73 (  19 unt;   0 def)
%            Number of atoms       :  588 (  50 equ)
%            Maximal formula atoms :  227 (   8 avg)
%            Number of connectives :  805 ( 290   ~; 370   |;  96   &)
%                                         (  10 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  23 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   3 con; 0-4 aty)
%            Number of variables   :   83 (   0 sgn  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t49_waybel34,conjecture,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ! [X2] :
          ( ( v2_orders_2(X2)
            & v3_orders_2(X2)
            & v4_orders_2(X2)
            & v1_lattice3(X2)
            & v2_lattice3(X2)
            & l1_orders_2(X2) )
         => ( m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
          <=> ( v1_orders_2(X2)
              & v3_lattice3(X2)
              & r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t49_waybel34) ).

fof(dt_k9_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ( ~ v3_struct_0(k9_waybel34(X1))
        & v2_altcat_1(k9_waybel34(X1))
        & v6_altcat_1(k9_waybel34(X1))
        & v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
        & m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k9_waybel34) ).

fof(cc2_setfam_1,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+8.ax',cc2_setfam_1) ).

fof(t30_altcat_2,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & l2_altcat_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & m1_altcat_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X2))
             => m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+448.ax',t30_altcat_2) ).

fof(dt_k5_waybel34,axiom,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ( ~ v3_struct_0(k5_waybel34(X1))
        & v2_altcat_1(k5_waybel34(X1))
        & v6_altcat_1(k5_waybel34(X1))
        & v11_altcat_1(k5_waybel34(X1))
        & v12_altcat_1(k5_waybel34(X1))
        & v2_yellow21(k5_waybel34(X1))
        & l2_altcat_1(k5_waybel34(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k5_waybel34) ).

fof(t15_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ! [X2] :
          ( ( v2_orders_2(X2)
            & v3_orders_2(X2)
            & v4_orders_2(X2)
            & v1_lattice3(X2)
            & v2_lattice3(X2)
            & l1_orders_2(X2) )
         => ( m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
          <=> ( v1_orders_2(X2)
              & v3_lattice3(X2)
              & r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t15_waybel34) ).

fof(d11_waybel34,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_altcat_1(X2)
            & v6_altcat_1(X2)
            & v3_altcat_2(X2,k5_waybel34(X1))
            & m1_altcat_2(X2,k5_waybel34(X1)) )
         => ( X2 = k9_waybel34(X1)
          <=> ( ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
                 => m1_subset_1(X3,u1_struct_0(X2)) )
              & ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
                 => ! [X4] :
                      ( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
                     => ! [X5] :
                          ( m1_subset_1(X5,u1_struct_0(X2))
                         => ! [X6] :
                              ( m1_subset_1(X6,u1_struct_0(X2))
                             => ( ( X5 = X3
                                  & X6 = X4 )
                               => ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
                                  | ! [X7] :
                                      ( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
                                     => ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
                                      <=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d11_waybel34) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1] :
        ( ~ v2_setfam_1(X1)
       => ! [X2] :
            ( ( v2_orders_2(X2)
              & v3_orders_2(X2)
              & v4_orders_2(X2)
              & v1_lattice3(X2)
              & v2_lattice3(X2)
              & l1_orders_2(X2) )
           => ( m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
            <=> ( v1_orders_2(X2)
                & v3_lattice3(X2)
                & r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
    inference(assume_negation,[status(cth)],[t49_waybel34]) ).

fof(c_0_8,negated_conjecture,
    ( ~ v2_setfam_1(esk1_0)
    & v2_orders_2(esk2_0)
    & v3_orders_2(esk2_0)
    & v4_orders_2(esk2_0)
    & v1_lattice3(esk2_0)
    & v2_lattice3(esk2_0)
    & l1_orders_2(esk2_0)
    & ( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
      | ~ v1_orders_2(esk2_0)
      | ~ v3_lattice3(esk2_0)
      | ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) )
    & ( v1_orders_2(esk2_0)
      | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
    & ( v3_lattice3(esk2_0)
      | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
    & ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
      | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7])])])])])])]) ).

fof(c_0_9,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k9_waybel34(X2))
        | v2_setfam_1(X2) )
      & ( v2_altcat_1(k9_waybel34(X2))
        | v2_setfam_1(X2) )
      & ( v6_altcat_1(k9_waybel34(X2))
        | v2_setfam_1(X2) )
      & ( v3_altcat_2(k9_waybel34(X2),k5_waybel34(X2))
        | v2_setfam_1(X2) )
      & ( m1_altcat_2(k9_waybel34(X2),k5_waybel34(X2))
        | v2_setfam_1(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k9_waybel34])])])]) ).

fof(c_0_10,plain,
    ! [X2] :
      ( v2_setfam_1(X2)
      | ~ v1_xboole_0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc2_setfam_1])])]) ).

fof(c_0_11,plain,
    ! [X4,X5,X6] :
      ( v3_struct_0(X4)
      | ~ l2_altcat_1(X4)
      | v3_struct_0(X5)
      | ~ m1_altcat_2(X5,X4)
      | ~ m1_subset_1(X6,u1_struct_0(X5))
      | m1_subset_1(X6,u1_struct_0(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)],[t30_altcat_2])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ~ v2_setfam_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X2] :
      ( ( ~ v3_struct_0(k5_waybel34(X2))
        | v1_xboole_0(X2) )
      & ( v2_altcat_1(k5_waybel34(X2))
        | v1_xboole_0(X2) )
      & ( v6_altcat_1(k5_waybel34(X2))
        | v1_xboole_0(X2) )
      & ( v11_altcat_1(k5_waybel34(X2))
        | v1_xboole_0(X2) )
      & ( v12_altcat_1(k5_waybel34(X2))
        | v1_xboole_0(X2) )
      & ( v2_yellow21(k5_waybel34(X2))
        | v1_xboole_0(X2) )
      & ( l2_altcat_1(k5_waybel34(X2))
        | v1_xboole_0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_waybel34])])])]) ).

cnf(c_0_16,plain,
    ( m1_subset_1(X1,u1_struct_0(X2))
    | v3_struct_0(X3)
    | v3_struct_0(X2)
    | ~ m1_subset_1(X1,u1_struct_0(X3))
    | ~ m1_altcat_2(X3,X2)
    | ~ l2_altcat_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
    | r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_18,negated_conjecture,
    ~ v3_struct_0(k9_waybel34(esk1_0)),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    ~ v1_xboole_0(esk1_0),
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

cnf(c_0_21,plain,
    ( v1_xboole_0(X1)
    | ~ v3_struct_0(k5_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
    | v1_orders_2(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_23,negated_conjecture,
    ( v3_struct_0(X1)
    | m1_subset_1(esk2_0,u1_struct_0(X1))
    | r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
    | ~ l2_altcat_1(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    m1_altcat_2(k9_waybel34(esk1_0),k5_waybel34(esk1_0)),
    inference(spm,[status(thm)],[c_0_12,c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    ~ v3_struct_0(k5_waybel34(esk1_0)),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( v1_orders_2(esk2_0)
    | v3_struct_0(X1)
    | m1_subset_1(esk2_0,u1_struct_0(X1))
    | ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
    | ~ l2_altcat_1(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_18]) ).

fof(c_0_27,plain,
    ! [X3,X4] :
      ( ( v1_orders_2(X4)
        | ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X3)))
        | ~ v2_orders_2(X4)
        | ~ v3_orders_2(X4)
        | ~ v4_orders_2(X4)
        | ~ v1_lattice3(X4)
        | ~ v2_lattice3(X4)
        | ~ l1_orders_2(X4)
        | v2_setfam_1(X3) )
      & ( v3_lattice3(X4)
        | ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X3)))
        | ~ v2_orders_2(X4)
        | ~ v3_orders_2(X4)
        | ~ v4_orders_2(X4)
        | ~ v1_lattice3(X4)
        | ~ v2_lattice3(X4)
        | ~ l1_orders_2(X4)
        | v2_setfam_1(X3) )
      & ( r2_hidden(u1_struct_0(X4),X3)
        | ~ m1_subset_1(X4,u1_struct_0(k5_waybel34(X3)))
        | ~ v2_orders_2(X4)
        | ~ v3_orders_2(X4)
        | ~ v4_orders_2(X4)
        | ~ v1_lattice3(X4)
        | ~ v2_lattice3(X4)
        | ~ l1_orders_2(X4)
        | v2_setfam_1(X3) )
      & ( ~ v1_orders_2(X4)
        | ~ v3_lattice3(X4)
        | ~ r2_hidden(u1_struct_0(X4),X3)
        | m1_subset_1(X4,u1_struct_0(k5_waybel34(X3)))
        | ~ v2_orders_2(X4)
        | ~ v3_orders_2(X4)
        | ~ v4_orders_2(X4)
        | ~ v1_lattice3(X4)
        | ~ v2_lattice3(X4)
        | ~ l1_orders_2(X4)
        | v2_setfam_1(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)],[t15_waybel34])])])])])])]) ).

cnf(c_0_28,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_29,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_30,negated_conjecture,
    ( v1_orders_2(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_25]) ).

fof(c_0_31,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_altcat_1(X2)
            & v6_altcat_1(X2)
            & v3_altcat_2(X2,k5_waybel34(X1))
            & m1_altcat_2(X2,k5_waybel34(X1)) )
         => ( X2 = k9_waybel34(X1)
          <=> ( ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
                 => m1_subset_1(X3,u1_struct_0(X2)) )
              & ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
                 => ! [X4] :
                      ( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
                     => ! [X5] :
                          ( m1_subset_1(X5,u1_struct_0(X2))
                         => ! [X6] :
                              ( m1_subset_1(X6,u1_struct_0(X2))
                             => ( ( X5 = X3
                                  & X6 = X4 )
                               => ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
                                  | ! [X7] :
                                      ( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
                                     => ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
                                      <=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition) ).

cnf(c_0_32,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
    | v3_lattice3(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_33,plain,
    ( v2_setfam_1(X1)
    | m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
    | ~ l1_orders_2(X2)
    | ~ v2_lattice3(X2)
    | ~ v1_lattice3(X2)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ r2_hidden(u1_struct_0(X2),X1)
    | ~ v3_lattice3(X2)
    | ~ v1_orders_2(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_20]) ).

cnf(c_0_35,negated_conjecture,
    v2_lattice3(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_36,negated_conjecture,
    v1_lattice3(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_37,negated_conjecture,
    v4_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_38,negated_conjecture,
    v3_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_39,negated_conjecture,
    v2_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_40,negated_conjecture,
    l1_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_41,plain,
    ( v2_setfam_1(X1)
    | v1_orders_2(X2)
    | ~ l1_orders_2(X2)
    | ~ v2_lattice3(X2)
    | ~ v1_lattice3(X2)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_42,negated_conjecture,
    ( v1_orders_2(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_29]),c_0_20]) ).

cnf(c_0_43,plain,
    ( v2_setfam_1(X1)
    | r2_hidden(u1_struct_0(X2),X1)
    | ~ l1_orders_2(X2)
    | ~ v2_lattice3(X2)
    | ~ v1_lattice3(X2)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_44,plain,
    ! [X1] :
      ( epred1_1(X1)
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v2_altcat_1(X2)
            & v6_altcat_1(X2)
            & v3_altcat_2(X2,k5_waybel34(X1))
            & m1_altcat_2(X2,k5_waybel34(X1)) )
         => ( X2 = k9_waybel34(X1)
          <=> ( ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
                 => m1_subset_1(X3,u1_struct_0(X2)) )
              & ! [X3] :
                  ( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
                 => ! [X4] :
                      ( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
                     => ! [X5] :
                          ( m1_subset_1(X5,u1_struct_0(X2))
                         => ! [X6] :
                              ( m1_subset_1(X6,u1_struct_0(X2))
                             => ( ( X5 = X3
                                  & X6 = X4 )
                               => ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
                                  | ! [X7] :
                                      ( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
                                     => ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
                                      <=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_31]) ).

cnf(c_0_45,negated_conjecture,
    ( v3_lattice3(esk2_0)
    | v3_struct_0(X1)
    | m1_subset_1(esk2_0,u1_struct_0(X1))
    | ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
    | ~ l2_altcat_1(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_32]),c_0_18]) ).

cnf(c_0_46,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ v3_lattice3(esk2_0)
    | ~ v1_orders_2(esk2_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(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_12]) ).

cnf(c_0_47,negated_conjecture,
    v1_orders_2(esk2_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(spm,[status(thm)],[c_0_41,c_0_42]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_12]) ).

cnf(c_0_48,negated_conjecture,
    ( v2_setfam_1(X1)
    | r2_hidden(u1_struct_0(esk2_0),X1)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(X1))) ),
    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(spm,[status(thm)],[c_0_43,c_0_38]),c_0_35]),c_0_36]),c_0_37]),c_0_39]),c_0_40])]) ).

fof(c_0_49,plain,
    ! [X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ( ~ m1_subset_1(X10,u1_struct_0(k5_waybel34(X8)))
        | m1_subset_1(X10,u1_struct_0(X9))
        | X9 != k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( ~ r2_hidden(X15,k1_altcat_1(X9,X13,X14))
        | v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),X12),k3_yellow21(k5_waybel34(X8),X11),k5_yellow21(k5_waybel34(X8),X11,X12,X15)),k3_yellow21(k5_waybel34(X8),X12),k3_yellow21(k5_waybel34(X8),X11))
        | ~ m1_subset_1(X15,k1_altcat_1(k5_waybel34(X8),X11,X12))
        | k1_altcat_1(k5_waybel34(X8),X11,X12) = k1_xboole_0
        | X13 != X11
        | X14 != X12
        | ~ m1_subset_1(X14,u1_struct_0(X9))
        | ~ m1_subset_1(X13,u1_struct_0(X9))
        | ~ m1_subset_1(X12,u1_struct_0(k5_waybel34(X8)))
        | ~ m1_subset_1(X11,u1_struct_0(k5_waybel34(X8)))
        | X9 != k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),X12),k3_yellow21(k5_waybel34(X8),X11),k5_yellow21(k5_waybel34(X8),X11,X12,X15)),k3_yellow21(k5_waybel34(X8),X12),k3_yellow21(k5_waybel34(X8),X11))
        | r2_hidden(X15,k1_altcat_1(X9,X13,X14))
        | ~ m1_subset_1(X15,k1_altcat_1(k5_waybel34(X8),X11,X12))
        | k1_altcat_1(k5_waybel34(X8),X11,X12) = k1_xboole_0
        | X13 != X11
        | X14 != X12
        | ~ m1_subset_1(X14,u1_struct_0(X9))
        | ~ m1_subset_1(X13,u1_struct_0(X9))
        | ~ m1_subset_1(X12,u1_struct_0(k5_waybel34(X8)))
        | ~ m1_subset_1(X11,u1_struct_0(k5_waybel34(X8)))
        | X9 != k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk35_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk36_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk37_2(X8,X9),u1_struct_0(X9))
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk38_2(X8,X9),u1_struct_0(X9))
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( esk37_2(X8,X9) = esk35_2(X8,X9)
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( esk38_2(X8,X9) = esk36_2(X8,X9)
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( k1_altcat_1(k5_waybel34(X8),esk35_2(X8,X9),esk36_2(X8,X9)) != k1_xboole_0
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk39_2(X8,X9),k1_altcat_1(k5_waybel34(X8),esk35_2(X8,X9),esk36_2(X8,X9)))
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( ~ r2_hidden(esk39_2(X8,X9),k1_altcat_1(X9,esk37_2(X8,X9),esk38_2(X8,X9)))
        | ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk36_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk35_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk35_2(X8,X9),esk36_2(X8,X9),esk39_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk36_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk35_2(X8,X9)))
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( r2_hidden(esk39_2(X8,X9),k1_altcat_1(X9,esk37_2(X8,X9),esk38_2(X8,X9)))
        | v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk36_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk35_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk35_2(X8,X9),esk36_2(X8,X9),esk39_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk36_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk35_2(X8,X9)))
        | m1_subset_1(esk34_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk35_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk36_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk37_2(X8,X9),u1_struct_0(X9))
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk38_2(X8,X9),u1_struct_0(X9))
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( esk37_2(X8,X9) = esk35_2(X8,X9)
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( esk38_2(X8,X9) = esk36_2(X8,X9)
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( k1_altcat_1(k5_waybel34(X8),esk35_2(X8,X9),esk36_2(X8,X9)) != k1_xboole_0
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( m1_subset_1(esk39_2(X8,X9),k1_altcat_1(k5_waybel34(X8),esk35_2(X8,X9),esk36_2(X8,X9)))
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( ~ r2_hidden(esk39_2(X8,X9),k1_altcat_1(X9,esk37_2(X8,X9),esk38_2(X8,X9)))
        | ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk36_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk35_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk35_2(X8,X9),esk36_2(X8,X9),esk39_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk36_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk35_2(X8,X9)))
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) )
      & ( r2_hidden(esk39_2(X8,X9),k1_altcat_1(X9,esk37_2(X8,X9),esk38_2(X8,X9)))
        | v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk36_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk35_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk35_2(X8,X9),esk36_2(X8,X9),esk39_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk36_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk35_2(X8,X9)))
        | ~ m1_subset_1(esk34_2(X8,X9),u1_struct_0(X9))
        | X9 = k9_waybel34(X8)
        | v3_struct_0(X9)
        | ~ v2_altcat_1(X9)
        | ~ v6_altcat_1(X9)
        | ~ v3_altcat_2(X9,k5_waybel34(X8))
        | ~ m1_altcat_2(X9,k5_waybel34(X8))
        | ~ epred1_1(X8) ) ),
    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)],[c_0_44])])])])])])])]) ).

cnf(c_0_50,negated_conjecture,
    ( v3_lattice3(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_24]),c_0_25]) ).

cnf(c_0_51,negated_conjecture,
    ( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ v3_lattice3(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).

fof(c_0_52,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => epred1_1(X1) ),
    inference(apply_def,[status(thm)],[d11_waybel34,c_0_31]) ).

cnf(c_0_53,negated_conjecture,
    ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ v3_lattice3(esk2_0)
    | ~ v1_orders_2(esk2_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_46]),c_0_12]) ).

cnf(c_0_54,plain,
    ( v3_struct_0(X2)
    | m1_subset_1(X3,u1_struct_0(X2))
    | ~ epred1_1(X1)
    | ~ m1_altcat_2(X2,k5_waybel34(X1))
    | ~ v3_altcat_2(X2,k5_waybel34(X1))
    | ~ v6_altcat_1(X2)
    | ~ v2_altcat_1(X2)
    | X2 != k9_waybel34(X1)
    | ~ m1_subset_1(X3,u1_struct_0(k5_waybel34(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_29]),c_0_20]),c_0_51]) ).

fof(c_0_56,plain,
    ! [X2] :
      ( v2_setfam_1(X2)
      | epred1_1(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_52])])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ v3_lattice3(esk2_0)
    | ~ v1_orders_2(esk2_0)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_58,negated_conjecture,
    ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ v3_lattice3(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_47])]) ).

cnf(c_0_59,plain,
    ( v2_setfam_1(X1)
    | v3_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ v2_lattice3(X2)
    | ~ v1_lattice3(X2)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_60,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk2_0,u1_struct_0(X1))
    | X1 != k9_waybel34(esk1_0)
    | ~ epred1_1(esk1_0)
    | ~ v3_altcat_2(X1,k5_waybel34(esk1_0))
    | ~ m1_altcat_2(X1,k5_waybel34(esk1_0))
    | ~ v2_altcat_1(X1)
    | ~ v6_altcat_1(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_61,plain,
    ( epred1_1(X1)
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_62,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_63,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_64,plain,
    ( v2_setfam_1(X1)
    | v6_altcat_1(k9_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ v3_lattice3(esk2_0)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_47])]),c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    v3_lattice3(esk2_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(spm,[status(thm)],[c_0_59,c_0_55]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_12]) ).

cnf(c_0_67,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(esk2_0,u1_struct_0(X1))
    | X1 != k9_waybel34(esk1_0)
    | ~ v3_altcat_2(X1,k5_waybel34(esk1_0))
    | ~ m1_altcat_2(X1,k5_waybel34(esk1_0))
    | ~ v2_altcat_1(X1)
    | ~ v6_altcat_1(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_12]) ).

cnf(c_0_68,negated_conjecture,
    v3_altcat_2(k9_waybel34(esk1_0),k5_waybel34(esk1_0)),
    inference(spm,[status(thm)],[c_0_12,c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    v2_altcat_1(k9_waybel34(esk1_0)),
    inference(spm,[status(thm)],[c_0_12,c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    v6_altcat_1(k9_waybel34(esk1_0)),
    inference(spm,[status(thm)],[c_0_12,c_0_64]) ).

cnf(c_0_71,negated_conjecture,
    ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_24]),c_0_69]),c_0_70])]),c_0_18]),c_0_71]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT374+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 29 22:23:17 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.92/23.99  eprover: CPU time limit exceeded, terminating
% 0.92/23.99  eprover: CPU time limit exceeded, terminating
% 0.92/24.00  eprover: CPU time limit exceeded, terminating
% 0.92/24.00  eprover: CPU time limit exceeded, terminating
% 1.04/47.01  eprover: CPU time limit exceeded, terminating
% 1.04/47.02  eprover: CPU time limit exceeded, terminating
% 1.04/47.03  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.04/47.03  
% 1.16/70.02  eprover: CPU time limit exceeded, terminating
% 1.16/70.04  eprover: CPU time limit exceeded, terminating
% 1.16/70.05  eprover: CPU time limit exceeded, terminating
% 1.16/70.05  eprover: CPU time limit exceeded, terminating
% 1.29/93.04  eprover: CPU time limit exceeded, terminating
% 1.29/93.06  eprover: CPU time limit exceeded, terminating
% 1.29/93.07  eprover: CPU time limit exceeded, terminating
% 1.29/93.07  eprover: CPU time limit exceeded, terminating
% 1.43/116.05  eprover: CPU time limit exceeded, terminating
% 1.43/116.08  eprover: CPU time limit exceeded, terminating
% 1.43/116.08  eprover: CPU time limit exceeded, terminating
% 1.43/116.10  eprover: CPU time limit exceeded, terminating
% 1.54/139.07  eprover: CPU time limit exceeded, terminating
% 1.54/139.09  eprover: CPU time limit exceeded, terminating
% 1.54/139.10  eprover: CPU time limit exceeded, terminating
% 1.54/139.12  eprover: CPU time limit exceeded, terminating
% 1.67/162.09  eprover: CPU time limit exceeded, terminating
% 1.67/162.12  eprover: CPU time limit exceeded, terminating
% 1.67/162.13  eprover: CPU time limit exceeded, terminating
% 1.67/162.13  eprover: CPU time limit exceeded, terminating
% 1.79/185.10  eprover: CPU time limit exceeded, terminating
% 1.79/185.13  eprover: CPU time limit exceeded, terminating
% 1.79/185.15  eprover: CPU time limit exceeded, terminating
% 1.79/185.15  eprover: CPU time limit exceeded, terminating
% 1.94/208.12  eprover: CPU time limit exceeded, terminating
% 1.94/208.15  eprover: CPU time limit exceeded, terminating
% 1.94/208.16  eprover: CPU time limit exceeded, terminating
% 1.94/208.17  eprover: CPU time limit exceeded, terminating
% 2.05/231.14  eprover: CPU time limit exceeded, terminating
% 2.05/231.18  eprover: CPU time limit exceeded, terminating
% 2.05/231.18  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 2.05/231.18  
% 2.07/233.23  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # Preprocessing time       : 2.289 s
% 2.07/233.23  # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 2.07/233.23  # Preprocessing time       : 0.425 s
% 2.07/233.23  # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # Preprocessing time       : 2.330 s
% 2.07/233.23  # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # Preprocessing time       : 2.060 s
% 2.07/233.23  # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 2.07/233.23  # Preprocessing time       : 0.308 s
% 2.07/233.23  # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # Preprocessing time       : 2.209 s
% 2.07/233.23  # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 2.07/233.23  # Preprocessing time       : 0.424 s
% 2.07/233.23  # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 2.07/233.23  # Preprocessing time       : 0.359 s
% 2.07/233.23  # Running protocol protocol_eprover_6c6e328223588bd61ac14315e52cd57432d78a40 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # SinE strategy is GSinE(CountFormulas,hypos,1.2,,04,20000,1.0)
% 2.07/233.23  # Preprocessing time       : 0.585 s
% 2.07/233.23  # Running protocol protocol_eprover_d060f57557112503de4e70311f17201fbe20b6a3 for 23 seconds:
% 2.07/233.23  
% 2.07/233.23  # Failure: Resource limit exceeded (time)
% 2.07/233.23  # OLD status Res
% 2.07/233.23  # Preprocessing time       : 2.399 s
% 2.07/233.23  # Running protocol protocol_eprover_7e73d521eed2eff17dc17155adefb3ab5d9c1092 for 23 seconds:
% 2.07/233.23  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,03,80,1.0)
% 2.07/233.23  # Preprocessing time       : 0.422 s
% 2.07/233.23  
% 2.07/233.23  # Proof found!
% 2.07/233.23  # SZS status Theorem
% 2.07/233.23  # SZS output start CNFRefutation
% See solution above
% 2.07/233.23  # Proof object total steps             : 73
% 2.07/233.23  # Proof object clause steps            : 54
% 2.07/233.23  # Proof object formula steps           : 19
% 2.07/233.23  # Proof object conjectures             : 40
% 2.07/233.23  # Proof object clause conjectures      : 37
% 2.07/233.23  # Proof object formula conjectures     : 3
% 2.07/233.23  # Proof object initial clauses used    : 26
% 2.07/233.23  # Proof object initial formulas used   : 7
% 2.07/233.23  # Proof object generating inferences   : 24
% 2.07/233.23  # Proof object simplifying inferences  : 57
% 2.07/233.23  # Training examples: 0 positive, 0 negative
% 2.07/233.23  # Parsed axioms                        : 10403
% 2.07/233.23  # Removed by relevancy pruning/SinE    : 10322
% 2.07/233.23  # Initial clauses                      : 306
% 2.07/233.23  # Removed in clause preprocessing      : 5
% 2.07/233.23  # Initial clauses in saturation        : 301
% 2.07/233.23  # Processed clauses                    : 2356
% 2.07/233.23  # ...of these trivial                  : 5
% 2.07/233.23  # ...subsumed                          : 475
% 2.07/233.23  # ...remaining for further processing  : 1876
% 2.07/233.23  # Other redundant clauses eliminated   : 8
% 2.07/233.23  # Clauses deleted for lack of memory   : 0
% 2.07/233.23  # Backward-subsumed                    : 84
% 2.07/233.23  # Backward-rewritten                   : 133
% 2.07/233.23  # Generated clauses                    : 46529
% 2.07/233.23  # ...of the previous two non-trivial   : 42214
% 2.07/233.23  # Contextual simplify-reflections      : 833
% 2.07/233.23  # Paramodulations                      : 46503
% 2.07/233.23  # Factorizations                       : 20
% 2.07/233.23  # Equation resolutions                 : 9
% 2.07/233.23  # Current number of processed clauses  : 1654
% 2.07/233.23  #    Positive orientable unit clauses  : 71
% 2.07/233.23  #    Positive unorientable unit clauses: 0
% 2.07/233.23  #    Negative unit clauses             : 24
% 2.07/233.23  #    Non-unit-clauses                  : 1559
% 2.07/233.23  # Current number of unprocessed clauses: 38824
% 2.07/233.23  # ...number of literals in the above   : 321175
% 2.07/233.23  # Current number of archived formulas  : 0
% 2.07/233.23  # Current number of archived clauses   : 218
% 2.07/233.23  # Clause-clause subsumption calls (NU) : 1104677
% 2.07/233.23  # Rec. Clause-clause subsumption calls : 100696
% 2.07/233.23  # Non-unit clause-clause subsumptions  : 1331
% 2.07/233.23  # Unit Clause-clause subsumption calls : 3954
% 2.07/233.23  # Rewrite failures with RHS unbound    : 0
% 2.07/233.23  # BW rewrite match attempts            : 13
% 2.07/233.23  # BW rewrite match successes           : 12
% 2.07/233.23  # Condensation attempts                : 0
% 2.07/233.23  # Condensation successes               : 0
% 2.07/233.23  # Termbank termtop insertions          : 1501469
% 2.07/233.23  
% 2.07/233.23  # -------------------------------------------------
% 2.07/233.23  # User time                : 1.835 s
% 2.07/233.23  # System time              : 0.037 s
% 2.07/233.23  # Total time               : 1.872 s
% 2.07/233.23  # Maximum resident set size: 69896 pages
% 2.07/254.16  eprover: CPU time limit exceeded, terminating
% 2.07/254.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.07/254.18  eprover: No such file or directory
% 2.07/254.20  eprover: CPU time limit exceeded, terminating
% 2.07/254.21  eprover: CPU time limit exceeded, terminating
% 2.07/254.22  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/254.22  eprover: No such file or directory
% 2.07/254.22  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.07/254.22  eprover: No such file or directory
%------------------------------------------------------------------------------