TSTP Solution File: LAT374+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT374+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 1.98s 127.13s
% Output   : CNFRefutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   71 (  18 unt;   0 def)
%            Number of atoms       :  580 (  49 equ)
%            Maximal formula atoms :  227 (   8 avg)
%            Number of connectives :  797 ( 288   ~; 364   |;  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   :   82 (   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.mepo_128.in',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.mepo_128.in',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.mepo_128.in',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.mepo_128.in',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.mepo_128.in',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)))
    | v1_orders_2(esk2_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)))
    | v3_lattice3(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_23,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_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,
    ( 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_27,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_22]),c_0_18]) ).

fof(c_0_28,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_29,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_23,c_0_24]),c_0_25]) ).

cnf(c_0_30,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_31,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_26]),c_0_18]) ).

cnf(c_0_32,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_27,c_0_24]),c_0_25]) ).

fof(c_0_33,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_34,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_28]) ).

cnf(c_0_35,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_29,c_0_30]),c_0_20]) ).

cnf(c_0_36,negated_conjecture,
    v2_lattice3(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_37,negated_conjecture,
    v1_lattice3(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_38,negated_conjecture,
    v4_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_39,negated_conjecture,
    v3_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_40,negated_conjecture,
    v2_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_41,negated_conjecture,
    l1_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_42,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_31,c_0_24]),c_0_25]) ).

cnf(c_0_43,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_28]) ).

cnf(c_0_44,negated_conjecture,
    ( v3_lattice3(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_30]),c_0_20]) ).

fof(c_0_45,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_33]) ).

cnf(c_0_46,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_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_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41])]),c_0_12]) ).

cnf(c_0_48,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_28]) ).

cnf(c_0_49,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_28]) ).

cnf(c_0_50,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_42,c_0_30]),c_0_20]) ).

cnf(c_0_51,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_43,c_0_44]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41])]),c_0_12]) ).

fof(c_0_52,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(esk45_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | m1_subset_1(esk44_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(esk46_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | m1_subset_1(esk44_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(esk47_2(X8,X9),u1_struct_0(X9))
        | m1_subset_1(esk44_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(esk48_2(X8,X9),u1_struct_0(X9))
        | m1_subset_1(esk44_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) )
      & ( esk47_2(X8,X9) = esk45_2(X8,X9)
        | m1_subset_1(esk44_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) )
      & ( esk48_2(X8,X9) = esk46_2(X8,X9)
        | m1_subset_1(esk44_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),esk45_2(X8,X9),esk46_2(X8,X9)) != k1_xboole_0
        | m1_subset_1(esk44_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(esk49_2(X8,X9),k1_altcat_1(k5_waybel34(X8),esk45_2(X8,X9),esk46_2(X8,X9)))
        | m1_subset_1(esk44_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(esk49_2(X8,X9),k1_altcat_1(X9,esk47_2(X8,X9),esk48_2(X8,X9)))
        | ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk46_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk45_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk45_2(X8,X9),esk46_2(X8,X9),esk49_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk46_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk45_2(X8,X9)))
        | m1_subset_1(esk44_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(esk49_2(X8,X9),k1_altcat_1(X9,esk47_2(X8,X9),esk48_2(X8,X9)))
        | v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk46_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk45_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk45_2(X8,X9),esk46_2(X8,X9),esk49_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk46_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk45_2(X8,X9)))
        | m1_subset_1(esk44_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(esk45_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | ~ m1_subset_1(esk44_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(esk46_2(X8,X9),u1_struct_0(k5_waybel34(X8)))
        | ~ m1_subset_1(esk44_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(esk47_2(X8,X9),u1_struct_0(X9))
        | ~ m1_subset_1(esk44_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(esk48_2(X8,X9),u1_struct_0(X9))
        | ~ m1_subset_1(esk44_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) )
      & ( esk47_2(X8,X9) = esk45_2(X8,X9)
        | ~ m1_subset_1(esk44_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) )
      & ( esk48_2(X8,X9) = esk46_2(X8,X9)
        | ~ m1_subset_1(esk44_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),esk45_2(X8,X9),esk46_2(X8,X9)) != k1_xboole_0
        | ~ m1_subset_1(esk44_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(esk49_2(X8,X9),k1_altcat_1(k5_waybel34(X8),esk45_2(X8,X9),esk46_2(X8,X9)))
        | ~ m1_subset_1(esk44_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(esk49_2(X8,X9),k1_altcat_1(X9,esk47_2(X8,X9),esk48_2(X8,X9)))
        | ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk46_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk45_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk45_2(X8,X9),esk46_2(X8,X9),esk49_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk46_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk45_2(X8,X9)))
        | ~ m1_subset_1(esk44_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(esk49_2(X8,X9),k1_altcat_1(X9,esk47_2(X8,X9),esk48_2(X8,X9)))
        | v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X8),esk46_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk45_2(X8,X9)),k5_yellow21(k5_waybel34(X8),esk45_2(X8,X9),esk46_2(X8,X9),esk49_2(X8,X9))),k3_yellow21(k5_waybel34(X8),esk46_2(X8,X9)),k3_yellow21(k5_waybel34(X8),esk45_2(X8,X9)))
        | ~ m1_subset_1(esk44_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_45])])])])])])])]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ 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) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).

cnf(c_0_54,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_48,c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41])]) ).

cnf(c_0_55,negated_conjecture,
    m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_47]),c_0_41])]),c_0_12]) ).

cnf(c_0_56,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_52]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
    | ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_51])]) ).

cnf(c_0_58,negated_conjecture,
    r2_hidden(u1_struct_0(esk2_0),esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_12]) ).

fof(c_0_59,axiom,
    ! [X1] :
      ( ~ v2_setfam_1(X1)
     => epred1_1(X1) ),
    inference(apply_def,[status(thm)],[d11_waybel34,c_0_33]) ).

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_56,c_0_55]) ).

cnf(c_0_61,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_62,negated_conjecture,
    ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).

fof(c_0_63,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_59])])]) ).

cnf(c_0_64,plain,
    ( ~ epred1_1(esk1_0)
    | ~ v2_altcat_1(k9_waybel34(esk1_0))
    | ~ v6_altcat_1(k9_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_24])]),c_0_18]),c_0_62]),c_0_12]) ).

cnf(c_0_65,plain,
    ( epred1_1(X1)
    | v2_setfam_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_66,plain,
    ( ~ v2_altcat_1(k9_waybel34(esk1_0))
    | ~ v6_altcat_1(k9_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_12]) ).

cnf(c_0_67,plain,
    ( v2_setfam_1(X1)
    | v6_altcat_1(k9_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_68,plain,
    ~ v2_altcat_1(k9_waybel34(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_12]) ).

cnf(c_0_69,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_70,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT374+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun 29 09:27:59 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.35/24.38  eprover: CPU time limit exceeded, terminating
% 1.35/24.39  eprover: CPU time limit exceeded, terminating
% 1.35/24.39  eprover: CPU time limit exceeded, terminating
% 1.35/24.39  eprover: CPU time limit exceeded, terminating
% 1.49/47.41  eprover: CPU time limit exceeded, terminating
% 1.49/47.42  eprover: CPU time limit exceeded, terminating
% 1.49/47.42  eprover: CPU time limit exceeded, terminating
% 1.49/47.43  eprover: CPU time limit exceeded, terminating
% 1.63/70.44  eprover: CPU time limit exceeded, terminating
% 1.63/70.44  eprover: CPU time limit exceeded, terminating
% 1.63/70.45  eprover: CPU time limit exceeded, terminating
% 1.63/70.45  eprover: CPU time limit exceeded, terminating
% 1.78/93.48  eprover: CPU time limit exceeded, terminating
% 1.78/93.48  eprover: CPU time limit exceeded, terminating
% 1.78/93.48  eprover: CPU time limit exceeded, terminating
% 1.78/93.50  eprover: CPU time limit exceeded, terminating
% 1.92/116.52  eprover: CPU time limit exceeded, terminating
% 1.92/116.52  eprover: CPU time limit exceeded, terminating
% 1.92/116.53  eprover: CPU time limit exceeded, terminating
% 1.92/116.53  eprover: CPU time limit exceeded, terminating
% 1.98/127.13  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.98/127.13  
% 1.98/127.13  # Failure: Resource limit exceeded (time)
% 1.98/127.13  # OLD status Res
% 1.98/127.13  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.98/127.13  # Preprocessing time       : 0.692 s
% 1.98/127.13  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 1.98/127.13  
% 1.98/127.13  # Failure: Resource limit exceeded (time)
% 1.98/127.13  # OLD status Res
% 1.98/127.13  # Preprocessing time       : 4.336 s
% 1.98/127.13  # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 1.98/127.13  
% 1.98/127.13  # Failure: Resource limit exceeded (time)
% 1.98/127.13  # OLD status Res
% 1.98/127.13  # Preprocessing time       : 4.253 s
% 1.98/127.13  # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 1.98/127.13  
% 1.98/127.13  # Failure: Resource limit exceeded (time)
% 1.98/127.13  # OLD status Res
% 1.98/127.13  # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 1.98/127.13  # Preprocessing time       : 0.617 s
% 1.98/127.13  # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 1.98/127.13  
% 1.98/127.13  # Failure: Resource limit exceeded (time)
% 1.98/127.13  # OLD status Res
% 1.98/127.13  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 1.98/127.13  # Preprocessing time       : 0.647 s
% 1.98/127.13  # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 1.98/127.13  # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 1.98/127.13  # Preprocessing time       : 0.584 s
% 1.98/127.13  
% 1.98/127.13  # Proof found!
% 1.98/127.13  # SZS status Theorem
% 1.98/127.13  # SZS output start CNFRefutation
% See solution above
% 1.98/127.13  # Proof object total steps             : 71
% 1.98/127.13  # Proof object clause steps            : 52
% 1.98/127.13  # Proof object formula steps           : 19
% 1.98/127.13  # Proof object conjectures             : 35
% 1.98/127.13  # Proof object clause conjectures      : 32
% 1.98/127.13  # Proof object formula conjectures     : 3
% 1.98/127.13  # Proof object initial clauses used    : 26
% 1.98/127.13  # Proof object initial formulas used   : 7
% 1.98/127.13  # Proof object generating inferences   : 23
% 1.98/127.13  # Proof object simplifying inferences  : 56
% 1.98/127.13  # Training examples: 0 positive, 0 negative
% 1.98/127.13  # Parsed axioms                        : 18982
% 1.98/127.13  # Removed by relevancy pruning/SinE    : 18881
% 1.98/127.13  # Initial clauses                      : 352
% 1.98/127.13  # Removed in clause preprocessing      : 7
% 1.98/127.13  # Initial clauses in saturation        : 345
% 1.98/127.13  # Processed clauses                    : 8944
% 1.98/127.13  # ...of these trivial                  : 13
% 1.98/127.13  # ...subsumed                          : 3543
% 1.98/127.13  # ...remaining for further processing  : 5388
% 1.98/127.13  # Other redundant clauses eliminated   : 14
% 1.98/127.13  # Clauses deleted for lack of memory   : 301243
% 1.98/127.13  # Backward-subsumed                    : 218
% 1.98/127.13  # Backward-rewritten                   : 133
% 1.98/127.13  # Generated clauses                    : 417355
% 1.98/127.13  # ...of the previous two non-trivial   : 402560
% 1.98/127.13  # Contextual simplify-reflections      : 0
% 1.98/127.13  # Paramodulations                      : 417313
% 1.98/127.13  # Factorizations                       : 33
% 1.98/127.13  # Equation resolutions                 : 15
% 1.98/127.13  # Current number of processed clauses  : 5029
% 1.98/127.13  #    Positive orientable unit clauses  : 72
% 1.98/127.13  #    Positive unorientable unit clauses: 2
% 1.98/127.13  #    Negative unit clauses             : 23
% 1.98/127.13  #    Non-unit-clauses                  : 4932
% 1.98/127.13  # Current number of unprocessed clauses: 82262
% 1.98/127.13  # ...number of literals in the above   : 836327
% 1.98/127.13  # Current number of archived formulas  : 0
% 1.98/127.13  # Current number of archived clauses   : 351
% 1.98/127.13  # Clause-clause subsumption calls (NU) : 1421988
% 1.98/127.13  # Rec. Clause-clause subsumption calls : 108627
% 1.98/127.13  # Non-unit clause-clause subsumptions  : 3593
% 1.98/127.13  # Unit Clause-clause subsumption calls : 9975
% 1.98/127.13  # Rewrite failures with RHS unbound    : 36
% 1.98/127.13  # BW rewrite match attempts            : 25
% 1.98/127.13  # BW rewrite match successes           : 24
% 1.98/127.13  # Condensation attempts                : 0
% 1.98/127.13  # Condensation successes               : 0
% 1.98/127.13  # Termbank termtop insertions          : 13237589
% 1.98/127.13  
% 1.98/127.13  # -------------------------------------------------
% 1.98/127.13  # User time                : 9.823 s
% 1.98/127.13  # System time              : 0.144 s
% 1.98/127.13  # Total time               : 9.967 s
% 1.98/127.13  # Maximum resident set size: 166812 pages
% 1.98/139.54  eprover: CPU time limit exceeded, terminating
% 1.98/139.56  eprover: CPU time limit exceeded, terminating
% 1.98/139.57  eprover: CPU time limit exceeded, terminating
% 1.98/139.57  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.57  eprover: No such file or directory
% 1.98/139.58  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.58  eprover: No such file or directory
% 1.98/139.58  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.98/139.58  eprover: No such file or directory
% 1.98/139.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.59  eprover: No such file or directory
% 1.98/139.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.98/139.59  eprover: No such file or directory
% 1.98/139.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.98/139.59  eprover: No such file or directory
% 1.98/139.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.59  eprover: No such file or directory
% 1.98/139.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.98/139.60  eprover: No such file or directory
% 1.98/139.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.60  eprover: No such file or directory
% 1.98/139.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.98/139.60  eprover: No such file or directory
% 1.98/139.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.60  eprover: No such file or directory
% 1.98/139.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.60  eprover: No such file or directory
% 1.98/139.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.98/139.60  eprover: No such file or directory
% 1.98/139.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.61  eprover: No such file or directory
% 1.98/139.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.61  eprover: No such file or directory
% 1.98/139.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.62  eprover: No such file or directory
% 1.98/139.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.62  eprover: No such file or directory
% 1.98/139.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.98/139.62  eprover: No such file or directory
%------------------------------------------------------------------------------