TSTP Solution File: SET055^12 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SET055^12 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n027.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 : Tue Jul 19 02:58:42 EDT 2022

% Result   : Theorem 0.96s 1.21s
% Output   : CNFRefutation 1.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :  150
% Syntax   : Number of formulae    : 1446 ( 307 unt;  54 typ;  10 def)
%            Number of atoms       : 15678 (3940 equ;   0 cnn)
%            Maximal formula atoms :   11 (  11 avg)
%            Number of connectives : 34263 (5115   ~;5433   |;   3   &;23708   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  114 ( 114   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   56 (  53 usr;  11 con; 0-3 aty)
%            Number of variables   : 3504 ( 415   ^3086   !;   3   ?;3504   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_mworld,type,
    mworld: $tType ).

thf(tp_apply,type,
    apply: $i > $i > $i ).

thf(tp_complement,type,
    complement: $i > $i ).

thf(tp_compose,type,
    compose: $i > $i > $i ).

thf(tp_cross_product,type,
    cross_product: $i > $i > $i ).

thf(tp_disjoint,type,
    disjoint: $i > $i > mworld > $o ).

thf(tp_domain_of,type,
    domain_of: $i > $i ).

thf(tp_eiw_di,type,
    eiw_di: $i > mworld > $o ).

thf(tp_element_relation,type,
    element_relation: $i ).

thf(tp_first,type,
    first: $i > $i ).

thf(tp_flip,type,
    flip: $i > $i ).

thf(tp_function,type,
    function: $i > mworld > $o ).

thf(tp_identity_relation,type,
    identity_relation: $i ).

thf(tp_image,type,
    image: $i > $i > $i ).

thf(tp_inductive,type,
    inductive: $i > mworld > $o ).

thf(tp_intersection,type,
    intersection: $i > $i > $i ).

thf(tp_inverse,type,
    inverse: $i > $i ).

thf(tp_mactual,type,
    mactual: mworld ).

thf(tp_mand,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(tp_mbox,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(tp_mdia,type,
    mdia: ( mworld > $o ) > mworld > $o ).

thf(tp_member,type,
    member: $i > $i > mworld > $o ).

thf(tp_mequiv,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(tp_mexists_di,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(tp_mforall_di,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(tp_mimplies,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(tp_mlocal,type,
    mlocal: ( mworld > $o ) > $o ).

thf(tp_mnot,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(tp_mor,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(tp_mrel,type,
    mrel: mworld > mworld > $o ).

thf(tp_null_class,type,
    null_class: $i ).

thf(tp_ordered_pair,type,
    ordered_pair: $i > $i > $i ).

thf(tp_power_class,type,
    power_class: $i > $i ).

thf(tp_qmltpeq,type,
    qmltpeq: $i > $i > mworld > $o ).

thf(tp_range_of,type,
    range_of: $i > $i ).

thf(tp_restrict,type,
    restrict: $i > $i > $i > $i ).

thf(tp_rotate,type,
    rotate: $i > $i ).

thf(tp_sK1_X,type,
    sK1_X: mworld > $i ).

thf(tp_sK2_SX0,type,
    sK2_SX0: $i ).

thf(tp_sK3_SX0,type,
    sK3_SX0: $i ).

thf(tp_sK4_SX0,type,
    sK4_SX0: $i ).

thf(tp_sK5_SY84,type,
    sK5_SY84: $i > $i ).

thf(tp_sK6_SY136,type,
    sK6_SY136: $i > $i > $i ).

thf(tp_sK7_SY147,type,
    sK7_SY147: $i > $i > $i ).

thf(tp_sK8_SY123,type,
    sK8_SY123: $i > $i > $i ).

thf(tp_second,type,
    second: $i > $i ).

thf(tp_singleton,type,
    singleton: $i > $i ).

thf(tp_subclass,type,
    subclass: $i > $i > mworld > $o ).

thf(tp_successor,type,
    successor: $i > $i ).

thf(tp_successor_relation,type,
    successor_relation: $i ).

thf(tp_sum_class,type,
    sum_class: $i > $i ).

thf(tp_union,type,
    union: $i > $i > $i ).

thf(tp_universal_class,type,
    universal_class: $i ).

thf(tp_unordered_pair,type,
    unordered_pair: $i > $i > $i ).

thf(mand,definition,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).

thf(mbox,definition,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).

thf(mdia,definition,
    ( mdia
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ? [V: mworld] :
          ( ( mrel @ W @ V )
          & ( Phi @ V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).

thf(mequiv,definition,
    ( mequiv
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
        <=> ( B @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).

thf(mexists_di,definition,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] :
          ( ( eiw_di @ X @ W )
          & ( A @ X @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di) ).

thf(mforall_di,definition,
    ( mforall_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ! [X: $i] :
          ( ( eiw_di @ X @ W )
         => ( A @ X @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di) ).

thf(mimplies,definition,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).

thf(mlocal,definition,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal) ).

thf(mnot,definition,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).

thf(mor,definition,
    ( mor
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          | ( B @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).

thf(1,axiom,
    ( mlocal
    @ ( mexists_di
      @ ^ [XF: $i] :
          ( mand @ ( function @ XF )
          @ ( mforall_di
            @ ^ [Y: $i] : ( mimplies @ ( member @ Y @ universal_class ) @ ( mor @ ( qmltpeq @ Y @ null_class ) @ ( member @ ( apply @ XF @ Y ) @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice) ).

thf(2,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [XF: $i] :
          ( mforall_di
          @ ^ [Y: $i] : ( qmltpeq @ ( apply @ XF @ Y ) @ ( sum_class @ ( image @ XF @ ( singleton @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply_defn) ).

thf(3,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mimplies @ ( mnot @ ( qmltpeq @ X @ null_class ) )
          @ ( mexists_di
            @ ^ [U: $i] : ( mand @ ( member @ U @ universal_class ) @ ( mand @ ( member @ U @ X ) @ ( disjoint @ U @ X ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).

thf(4,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] :
              ( mequiv @ ( disjoint @ X @ Y )
              @ ( mforall_di
                @ ^ [U: $i] : ( mnot @ ( mand @ ( member @ U @ X ) @ ( member @ U @ Y ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).

thf(5,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [XF: $i] : ( mimplies @ ( mand @ ( member @ X @ universal_class ) @ ( function @ XF ) ) @ ( member @ ( image @ XF @ X ) @ universal_class ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',replacement) ).

thf(6,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [XF: $i] : ( mequiv @ ( function @ XF ) @ ( mand @ ( subclass @ XF @ ( cross_product @ universal_class @ universal_class ) ) @ ( subclass @ ( compose @ XF @ ( inverse @ XF ) ) @ identity_relation ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function_defn) ).

thf(7,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [XR: $i] :
          ( mforall_di
          @ ^ [YR: $i] :
              ( mforall_di
              @ ^ [U: $i] :
                  ( mforall_di
                  @ ^ [V: $i] : ( mequiv @ ( member @ ( ordered_pair @ U @ V ) @ ( compose @ YR @ XR ) ) @ ( mand @ ( member @ U @ universal_class ) @ ( member @ V @ ( image @ YR @ ( image @ YR @ ( singleton @ U ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_defn2) ).

thf(8,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [XR: $i] :
          ( mforall_di
          @ ^ [YR: $i] : ( subclass @ ( compose @ YR @ XR ) @ ( cross_product @ universal_class @ universal_class ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_defn1) ).

thf(9,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [U: $i] : ( mimplies @ ( member @ U @ universal_class ) @ ( member @ ( power_class @ U ) @ universal_class ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class_0) ).

thf(10,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [U: $i] :
          ( mforall_di
          @ ^ [X: $i] : ( mequiv @ ( member @ U @ ( power_class @ X ) ) @ ( mand @ ( member @ U @ universal_class ) @ ( subclass @ U @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class_defn) ).

thf(11,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( mimplies @ ( member @ X @ universal_class ) @ ( member @ ( sum_class @ X ) @ universal_class ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_0) ).

thf(12,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [U: $i] :
          ( mforall_di
          @ ^ [X: $i] :
              ( mequiv @ ( member @ U @ ( sum_class @ X ) )
              @ ( mexists_di
                @ ^ [Y: $i] : ( mand @ ( member @ U @ Y ) @ ( member @ Y @ X ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_defn) ).

thf(13,axiom,
    ( mlocal
    @ ( mexists_di
      @ ^ [X: $i] :
          ( mand @ ( member @ X @ universal_class )
          @ ( mand @ ( inductive @ X )
            @ ( mforall_di
              @ ^ [Y: $i] : ( mimplies @ ( inductive @ Y ) @ ( subclass @ X @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity) ).

thf(14,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( mequiv @ ( inductive @ X ) @ ( mand @ ( member @ null_class @ X ) @ ( subclass @ ( image @ successor_relation @ X ) @ X ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive_defn) ).

thf(15,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [XR: $i] : ( qmltpeq @ ( image @ XR @ X ) @ ( range_of @ ( restrict @ XR @ X @ universal_class ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image_defn) ).

thf(16,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [Z: $i] : ( qmltpeq @ ( range_of @ Z ) @ ( domain_of @ ( inverse @ Z ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of_defn) ).

thf(17,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [Y: $i] : ( qmltpeq @ ( inverse @ Y ) @ ( domain_of @ ( flip @ ( cross_product @ Y @ universal_class ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_defn) ).

thf(18,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] : ( mequiv @ ( member @ ( ordered_pair @ X @ Y ) @ successor_relation ) @ ( mand @ ( member @ X @ universal_class ) @ ( mand @ ( member @ Y @ universal_class ) @ ( qmltpeq @ ( successor @ X ) @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation_defn2) ).

thf(19,axiom,
    mlocal @ ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_relation_defn1) ).

thf(20,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( qmltpeq @ ( successor @ X ) @ ( union @ X @ ( singleton @ X ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_defn) ).

thf(21,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] :
              ( mforall_di
              @ ^ [Z: $i] : ( mequiv @ ( member @ Z @ ( union @ X @ Y ) ) @ ( mor @ ( member @ Z @ X ) @ ( member @ Z @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).

thf(22,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( subclass @ ( flip @ X ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip_0) ).

thf(23,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [U: $i] :
          ( mforall_di
          @ ^ [V: $i] :
              ( mforall_di
              @ ^ [W: $i] :
                  ( mforall_di
                  @ ^ [X: $i] : ( mequiv @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( flip @ X ) ) @ ( mand @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ U ) @ W ) @ X ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip_defn) ).

thf(24,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( subclass @ ( rotate @ X ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate_0) ).

thf(25,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [U: $i] :
              ( mforall_di
              @ ^ [V: $i] :
                  ( mforall_di
                  @ ^ [W: $i] : ( mequiv @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( rotate @ X ) ) @ ( mand @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ W ) @ U ) @ X ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate_defn) ).

thf(26,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Z: $i] : ( mequiv @ ( member @ Z @ ( domain_of @ X ) ) @ ( mand @ ( member @ Z @ universal_class ) @ ( mnot @ ( qmltpeq @ ( restrict @ X @ ( singleton @ Z ) @ universal_class ) @ null_class ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of_0) ).

thf(27,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( mnot @ ( member @ X @ null_class ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).

thf(28,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [XR: $i] :
              ( mforall_di
              @ ^ [Y: $i] : ( qmltpeq @ ( restrict @ XR @ X @ Y ) @ ( intersection @ XR @ ( cross_product @ X @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restrict_defn) ).

thf(29,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Z: $i] : ( mequiv @ ( member @ Z @ ( complement @ X ) ) @ ( mand @ ( member @ Z @ universal_class ) @ ( mnot @ ( member @ Z @ X ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_0) ).

thf(30,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] :
              ( mforall_di
              @ ^ [Z: $i] : ( mequiv @ ( member @ Z @ ( intersection @ X @ Y ) ) @ ( mand @ ( member @ Z @ X ) @ ( member @ Z @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_0) ).

thf(31,axiom,
    mlocal @ ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation_0) ).

thf(32,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] : ( mequiv @ ( member @ ( ordered_pair @ X @ Y ) @ element_relation ) @ ( mand @ ( member @ Y @ universal_class ) @ ( member @ X @ Y ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation_defn) ).

thf(33,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] :
              ( mforall_di
              @ ^ [Z: $i] : ( mimplies @ ( member @ Z @ ( cross_product @ X @ Y ) ) @ ( qmltpeq @ Z @ ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cross_product_0) ).

thf(34,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [U: $i] :
          ( mforall_di
          @ ^ [V: $i] :
              ( mforall_di
              @ ^ [X: $i] :
                  ( mforall_di
                  @ ^ [Y: $i] : ( mequiv @ ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) @ ( mand @ ( member @ U @ X ) @ ( member @ V @ Y ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cross_product_defn) ).

thf(35,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] : ( qmltpeq @ ( ordered_pair @ X @ Y ) @ ( unordered_pair @ ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_defn) ).

thf(36,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( qmltpeq @ ( singleton @ X ) @ ( unordered_pair @ X @ X ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).

thf(37,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_0) ).

thf(38,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [U: $i] :
          ( mforall_di
          @ ^ [X: $i] :
              ( mforall_di
              @ ^ [Y: $i] : ( mequiv @ ( member @ U @ ( unordered_pair @ X @ Y ) ) @ ( mand @ ( member @ U @ universal_class ) @ ( mor @ ( qmltpeq @ U @ X ) @ ( qmltpeq @ U @ Y ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).

thf(39,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] : ( mequiv @ ( qmltpeq @ X @ Y ) @ ( mand @ ( subclass @ X @ Y ) @ ( subclass @ Y @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).

thf(40,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( subclass @ X @ universal_class ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

thf(41,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] :
              ( mequiv @ ( subclass @ X @ Y )
              @ ( mforall_di
                @ ^ [U: $i] : ( mimplies @ ( member @ U @ X ) @ ( member @ U @ Y ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).

thf(42,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( subclass @ C @ A ) ) @ ( subclass @ C @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_substitution_2) ).

thf(43,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( subclass @ A @ C ) ) @ ( subclass @ B @ C ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_substitution_1) ).

thf(44,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( member @ C @ A ) ) @ ( member @ C @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_substitution_2) ).

thf(45,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( member @ A @ C ) ) @ ( member @ B @ C ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_substitution_1) ).

thf(46,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( inductive @ A ) ) @ ( inductive @ B ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive_substitution_1) ).

thf(47,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( function @ A ) ) @ ( function @ B ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function_substitution_1) ).

thf(48,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( disjoint @ C @ A ) ) @ ( disjoint @ C @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_substitution_2) ).

thf(49,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( disjoint @ A @ C ) ) @ ( disjoint @ B @ C ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_substitution_1) ).

thf(50,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( unordered_pair @ C @ A ) @ ( unordered_pair @ C @ B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_substitution_2) ).

thf(51,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( unordered_pair @ A @ C ) @ ( unordered_pair @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_substitution_1) ).

thf(52,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( union @ C @ A ) @ ( union @ C @ B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_substitution_2) ).

thf(53,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( union @ A @ C ) @ ( union @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_substitution_1) ).

thf(54,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( sum_class @ A ) @ ( sum_class @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_substitution_1) ).

thf(55,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( successor @ A ) @ ( successor @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_substitution_1) ).

thf(56,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( singleton @ A ) @ ( singleton @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_substitution_1) ).

thf(57,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( second @ A ) @ ( second @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',second_substitution_1) ).

thf(58,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( rotate @ A ) @ ( rotate @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rotate_substitution_1) ).

thf(59,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] :
                  ( mforall_di
                  @ ^ [D: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( restrict @ C @ D @ A ) @ ( restrict @ C @ D @ B ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restrict_substitution_3) ).

thf(60,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] :
                  ( mforall_di
                  @ ^ [D: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( restrict @ C @ A @ D ) @ ( restrict @ C @ B @ D ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restrict_substitution_2) ).

thf(61,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] :
                  ( mforall_di
                  @ ^ [D: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( restrict @ A @ C @ D ) @ ( restrict @ B @ C @ D ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restrict_substitution_1) ).

thf(62,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( range_of @ A ) @ ( range_of @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of_substitution_1) ).

thf(63,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( power_class @ A ) @ ( power_class @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class_substitution_1) ).

thf(64,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( ordered_pair @ C @ A ) @ ( ordered_pair @ C @ B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_substitution_2) ).

thf(65,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( ordered_pair @ A @ C ) @ ( ordered_pair @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_substitution_1) ).

thf(66,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( inverse @ A ) @ ( inverse @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_substitution_1) ).

thf(67,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( intersection @ C @ A ) @ ( intersection @ C @ B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_substitution_2) ).

thf(68,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( intersection @ A @ C ) @ ( intersection @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_substitution_1) ).

thf(69,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( image @ C @ A ) @ ( image @ C @ B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image_substitution_2) ).

thf(70,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( image @ A @ C ) @ ( image @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image_substitution_1) ).

thf(71,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( flip @ A ) @ ( flip @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',flip_substitution_1) ).

thf(72,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( first @ A ) @ ( first @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_substitution_1) ).

thf(73,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( domain_of @ A ) @ ( domain_of @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of_substitution_1) ).

thf(74,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( cross_product @ C @ A ) @ ( cross_product @ C @ B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cross_product_substitution_2) ).

thf(75,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( cross_product @ A @ C ) @ ( cross_product @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cross_product_substitution_1) ).

thf(76,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( compose @ C @ A ) @ ( compose @ C @ B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_substitution_2) ).

thf(77,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( compose @ A @ C ) @ ( compose @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_substitution_1) ).

thf(78,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( complement @ A ) @ ( complement @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_substitution_1) ).

thf(79,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( apply @ C @ A ) @ ( apply @ C @ B ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply_substitution_2) ).

thf(80,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [A: $i] :
          ( mforall_di
          @ ^ [B: $i] :
              ( mforall_di
              @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( apply @ A @ C ) @ ( apply @ B @ C ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apply_substitution_1) ).

thf(81,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] :
              ( mforall_di
              @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

thf(82,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] :
          ( mforall_di
          @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).

thf(83,axiom,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

thf(84,axiom,
    ! [W: mworld] :
    ? [X: $i] : ( eiw_di @ X @ W ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty) ).

thf(85,axiom,
    ! [W: mworld,V: mworld] : ( mrel @ W @ V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).

thf(86,conjecture,
    ( mlocal
    @ ( mforall_di
      @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_0) ).

thf(87,negated_conjecture,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[86]) ).

thf(88,plain,
    ( ( ~ ( mlocal
          @ ( mforall_di
            @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[87]) ).

thf(89,plain,
    ( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[84]) ).

thf(90,plain,
    ( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(91,plain,
    ( ( ! [W: mworld] : ( eiw_di @ ( sK1_X @ W ) @ W ) )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(92,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(93,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[82]) ).

thf(94,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] :
                ( mforall_di
                @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[81]) ).

thf(95,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( apply @ A @ C ) @ ( apply @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[80]) ).

thf(96,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( apply @ C @ A ) @ ( apply @ C @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(97,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( complement @ A ) @ ( complement @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[78]) ).

thf(98,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( compose @ A @ C ) @ ( compose @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[77]) ).

thf(99,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( compose @ C @ A ) @ ( compose @ C @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(100,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( cross_product @ A @ C ) @ ( cross_product @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(101,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( cross_product @ C @ A ) @ ( cross_product @ C @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[74]) ).

thf(102,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( domain_of @ A ) @ ( domain_of @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(103,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( first @ A ) @ ( first @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(104,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( flip @ A ) @ ( flip @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(105,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( image @ A @ C ) @ ( image @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(106,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( image @ C @ A ) @ ( image @ C @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(107,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( intersection @ A @ C ) @ ( intersection @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(108,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( intersection @ C @ A ) @ ( intersection @ C @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[67]) ).

thf(109,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( inverse @ A ) @ ( inverse @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(110,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( ordered_pair @ A @ C ) @ ( ordered_pair @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(111,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( ordered_pair @ C @ A ) @ ( ordered_pair @ C @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(112,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( power_class @ A ) @ ( power_class @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(113,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( range_of @ A ) @ ( range_of @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(114,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] :
                    ( mforall_di
                    @ ^ [D: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( restrict @ A @ C @ D ) @ ( restrict @ B @ C @ D ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(115,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] :
                    ( mforall_di
                    @ ^ [D: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( restrict @ C @ A @ D ) @ ( restrict @ C @ B @ D ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(116,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] :
                    ( mforall_di
                    @ ^ [D: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( restrict @ C @ D @ A ) @ ( restrict @ C @ D @ B ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(117,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( rotate @ A ) @ ( rotate @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(118,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( second @ A ) @ ( second @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(119,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( singleton @ A ) @ ( singleton @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(120,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( successor @ A ) @ ( successor @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(121,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( sum_class @ A ) @ ( sum_class @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(122,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( union @ A @ C ) @ ( union @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(123,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( union @ C @ A ) @ ( union @ C @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(124,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( unordered_pair @ A @ C ) @ ( unordered_pair @ B @ C ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(125,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( qmltpeq @ A @ B ) @ ( qmltpeq @ ( unordered_pair @ C @ A ) @ ( unordered_pair @ C @ B ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(126,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( disjoint @ A @ C ) ) @ ( disjoint @ B @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(127,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( disjoint @ C @ A ) ) @ ( disjoint @ C @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(128,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( function @ A ) ) @ ( function @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(129,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( inductive @ A ) ) @ ( inductive @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(130,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( member @ A @ C ) ) @ ( member @ B @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(131,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( member @ C @ A ) ) @ ( member @ C @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(132,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( subclass @ A @ C ) ) @ ( subclass @ B @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(133,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [A: $i] :
            ( mforall_di
            @ ^ [B: $i] :
                ( mforall_di
                @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( subclass @ C @ A ) ) @ ( subclass @ C @ B ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(134,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] :
                ( mequiv @ ( subclass @ X @ Y )
                @ ( mforall_di
                  @ ^ [U: $i] : ( mimplies @ ( member @ U @ X ) @ ( member @ U @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(135,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( subclass @ X @ universal_class ) ) )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(136,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] : ( mequiv @ ( qmltpeq @ X @ Y ) @ ( mand @ ( subclass @ X @ Y ) @ ( subclass @ Y @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(137,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [U: $i] :
            ( mforall_di
            @ ^ [X: $i] :
                ( mforall_di
                @ ^ [Y: $i] : ( mequiv @ ( member @ U @ ( unordered_pair @ X @ Y ) ) @ ( mand @ ( member @ U @ universal_class ) @ ( mor @ ( qmltpeq @ U @ X ) @ ( qmltpeq @ U @ Y ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(138,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(139,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( qmltpeq @ ( singleton @ X ) @ ( unordered_pair @ X @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(140,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] : ( qmltpeq @ ( ordered_pair @ X @ Y ) @ ( unordered_pair @ ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(141,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [U: $i] :
            ( mforall_di
            @ ^ [V: $i] :
                ( mforall_di
                @ ^ [X: $i] :
                    ( mforall_di
                    @ ^ [Y: $i] : ( mequiv @ ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) @ ( mand @ ( member @ U @ X ) @ ( member @ V @ Y ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(142,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] :
                ( mforall_di
                @ ^ [Z: $i] : ( mimplies @ ( member @ Z @ ( cross_product @ X @ Y ) ) @ ( qmltpeq @ Z @ ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(143,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] : ( mequiv @ ( member @ ( ordered_pair @ X @ Y ) @ element_relation ) @ ( mand @ ( member @ Y @ universal_class ) @ ( member @ X @ Y ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(144,plain,
    ( ( mlocal @ ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(145,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] :
                ( mforall_di
                @ ^ [Z: $i] : ( mequiv @ ( member @ Z @ ( intersection @ X @ Y ) ) @ ( mand @ ( member @ Z @ X ) @ ( member @ Z @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(146,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Z: $i] : ( mequiv @ ( member @ Z @ ( complement @ X ) ) @ ( mand @ ( member @ Z @ universal_class ) @ ( mnot @ ( member @ Z @ X ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(147,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [XR: $i] :
                ( mforall_di
                @ ^ [Y: $i] : ( qmltpeq @ ( restrict @ XR @ X @ Y ) @ ( intersection @ XR @ ( cross_product @ X @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(148,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( mnot @ ( member @ X @ null_class ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(149,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Z: $i] : ( mequiv @ ( member @ Z @ ( domain_of @ X ) ) @ ( mand @ ( member @ Z @ universal_class ) @ ( mnot @ ( qmltpeq @ ( restrict @ X @ ( singleton @ Z ) @ universal_class ) @ null_class ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(150,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [U: $i] :
                ( mforall_di
                @ ^ [V: $i] :
                    ( mforall_di
                    @ ^ [W: $i] : ( mequiv @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( rotate @ X ) ) @ ( mand @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ W ) @ U ) @ X ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(151,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( subclass @ ( rotate @ X ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(152,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [U: $i] :
            ( mforall_di
            @ ^ [V: $i] :
                ( mforall_di
                @ ^ [W: $i] :
                    ( mforall_di
                    @ ^ [X: $i] : ( mequiv @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( flip @ X ) ) @ ( mand @ ( member @ ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) @ ( member @ ( ordered_pair @ ( ordered_pair @ V @ U ) @ W ) @ X ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(153,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( subclass @ ( flip @ X ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(154,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] :
                ( mforall_di
                @ ^ [Z: $i] : ( mequiv @ ( member @ Z @ ( union @ X @ Y ) ) @ ( mor @ ( member @ Z @ X ) @ ( member @ Z @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(155,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( qmltpeq @ ( successor @ X ) @ ( union @ X @ ( singleton @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(156,plain,
    ( ( mlocal @ ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(157,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] : ( mequiv @ ( member @ ( ordered_pair @ X @ Y ) @ successor_relation ) @ ( mand @ ( member @ X @ universal_class ) @ ( mand @ ( member @ Y @ universal_class ) @ ( qmltpeq @ ( successor @ X ) @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(158,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [Y: $i] : ( qmltpeq @ ( inverse @ Y ) @ ( domain_of @ ( flip @ ( cross_product @ Y @ universal_class ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(159,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [Z: $i] : ( qmltpeq @ ( range_of @ Z ) @ ( domain_of @ ( inverse @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(160,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [XR: $i] : ( qmltpeq @ ( image @ XR @ X ) @ ( range_of @ ( restrict @ XR @ X @ universal_class ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(161,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( mequiv @ ( inductive @ X ) @ ( mand @ ( member @ null_class @ X ) @ ( subclass @ ( image @ successor_relation @ X ) @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(162,plain,
    ( ( mlocal
      @ ( mexists_di
        @ ^ [X: $i] :
            ( mand @ ( member @ X @ universal_class )
            @ ( mand @ ( inductive @ X )
              @ ( mforall_di
                @ ^ [Y: $i] : ( mimplies @ ( inductive @ Y ) @ ( subclass @ X @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(163,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [U: $i] :
            ( mforall_di
            @ ^ [X: $i] :
                ( mequiv @ ( member @ U @ ( sum_class @ X ) )
                @ ( mexists_di
                  @ ^ [Y: $i] : ( mand @ ( member @ U @ Y ) @ ( member @ Y @ X ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(164,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] : ( mimplies @ ( member @ X @ universal_class ) @ ( member @ ( sum_class @ X ) @ universal_class ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(165,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [U: $i] :
            ( mforall_di
            @ ^ [X: $i] : ( mequiv @ ( member @ U @ ( power_class @ X ) ) @ ( mand @ ( member @ U @ universal_class ) @ ( subclass @ U @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(166,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [U: $i] : ( mimplies @ ( member @ U @ universal_class ) @ ( member @ ( power_class @ U ) @ universal_class ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(167,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [XR: $i] :
            ( mforall_di
            @ ^ [YR: $i] : ( subclass @ ( compose @ YR @ XR ) @ ( cross_product @ universal_class @ universal_class ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(168,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [XR: $i] :
            ( mforall_di
            @ ^ [YR: $i] :
                ( mforall_di
                @ ^ [U: $i] :
                    ( mforall_di
                    @ ^ [V: $i] : ( mequiv @ ( member @ ( ordered_pair @ U @ V ) @ ( compose @ YR @ XR ) ) @ ( mand @ ( member @ U @ universal_class ) @ ( member @ V @ ( image @ YR @ ( image @ YR @ ( singleton @ U ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(169,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [XF: $i] : ( mequiv @ ( function @ XF ) @ ( mand @ ( subclass @ XF @ ( cross_product @ universal_class @ universal_class ) ) @ ( subclass @ ( compose @ XF @ ( inverse @ XF ) ) @ identity_relation ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6]) ).

thf(170,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [XF: $i] : ( mimplies @ ( mand @ ( member @ X @ universal_class ) @ ( function @ XF ) ) @ ( member @ ( image @ XF @ X ) @ universal_class ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(171,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mforall_di
            @ ^ [Y: $i] :
                ( mequiv @ ( disjoint @ X @ Y )
                @ ( mforall_di
                  @ ^ [U: $i] : ( mnot @ ( mand @ ( member @ U @ X ) @ ( member @ U @ Y ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[4]) ).

thf(172,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [X: $i] :
            ( mimplies @ ( mnot @ ( qmltpeq @ X @ null_class ) )
            @ ( mexists_di
              @ ^ [U: $i] : ( mand @ ( member @ U @ universal_class ) @ ( mand @ ( member @ U @ X ) @ ( disjoint @ U @ X ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3]) ).

thf(173,plain,
    ( ( mlocal
      @ ( mforall_di
        @ ^ [XF: $i] :
            ( mforall_di
            @ ^ [Y: $i] : ( qmltpeq @ ( apply @ XF @ Y ) @ ( sum_class @ ( image @ XF @ ( singleton @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2]) ).

thf(174,plain,
    ( ( mlocal
      @ ( mexists_di
        @ ^ [XF: $i] :
            ( mand @ ( function @ XF )
            @ ( mforall_di
              @ ^ [Y: $i] : ( mimplies @ ( member @ Y @ universal_class ) @ ( mor @ ( qmltpeq @ Y @ null_class ) @ ( member @ ( apply @ XF @ Y ) @ Y ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1]) ).

thf(175,plain,
    ( ( ~ ( mlocal
          @ ( mforall_di
            @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(176,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ! [SX3: $i] :
                      ( ~ ( eiw_di @ SX3 @ mactual )
                      | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                      | ( qmltpeq @ ( restrict @ SX2 @ SX0 @ SX3 ) @ ( restrict @ SX2 @ SX1 @ SX3 ) @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[115,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(177,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( member @ SX1 @ ( domain_of @ SX0 ) @ mactual )
                      | ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                          | ~ ~ ( qmltpeq @ ( restrict @ SX0 @ ( singleton @ SX1 ) @ universal_class ) @ null_class @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                            | ~ ~ ( qmltpeq @ ( restrict @ SX0 @ ( singleton @ SX1 ) @ universal_class ) @ null_class @ mactual ) )
                      | ( member @ SX1 @ ( domain_of @ SX0 ) @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(178,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( apply @ SX0 @ SX2 ) @ ( apply @ SX1 @ SX2 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(179,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ! [SX3: $i] :
                      ( ~ ( eiw_di @ SX3 @ mactual )
                      | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                      | ( qmltpeq @ ( restrict @ SX0 @ SX2 @ SX3 ) @ ( restrict @ SX1 @ SX2 @ SX3 ) @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[114,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(180,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( compose @ SX2 @ SX0 ) @ ( compose @ SX2 @ SX1 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(181,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( member @ SX0 @ ( sum_class @ SX1 ) @ mactual )
                      | ~ ! [SX2: $i] :
                            ~ ~ ( ~ ( eiw_di @ SX2 @ mactual )
                                | ~ ~ ( ~ ( member @ SX0 @ SX2 @ mactual )
                                      | ~ ( member @ SX2 @ SX1 @ mactual ) ) ) )
                  | ~ ( ~ ~ ! [SX2: $i] :
                              ~ ~ ( ~ ( eiw_di @ SX2 @ mactual )
                                  | ~ ~ ( ~ ( member @ SX0 @ SX2 @ mactual )
                                        | ~ ( member @ SX2 @ SX1 @ mactual ) ) )
                      | ( member @ SX0 @ ( sum_class @ SX1 ) @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(182,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( complement @ SX0 ) @ ( complement @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(183,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ( qmltpeq @ ( apply @ SX0 @ SX1 ) @ ( sum_class @ ( image @ SX0 @ ( singleton @ SX1 ) ) ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(184,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ( qmltpeq @ ( restrict @ SX1 @ SX0 @ SX2 ) @ ( intersection @ SX1 @ ( cross_product @ SX0 @ SX2 ) ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[147,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(185,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( qmltpeq @ ( singleton @ SX0 ) @ ( unordered_pair @ SX0 @ SX0 ) @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(186,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( union @ SX2 @ SX0 ) @ ( union @ SX2 @ SX1 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(187,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( power_class @ SX0 ) @ ( power_class @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[112,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(188,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                    | ~ ( function @ SX1 @ mactual ) )
              | ( member @ ( image @ SX1 @ SX0 ) @ universal_class @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(189,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ( member @ ( unordered_pair @ SX0 @ SX1 ) @ universal_class @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(190,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( range_of @ SX0 ) @ ( range_of @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[113,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(191,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( qmltpeq @ ( inverse @ SX0 ) @ ( domain_of @ ( flip @ ( cross_product @ SX0 @ universal_class ) ) ) @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[158,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(192,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( subclass @ ( rotate @ SX0 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[151,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(193,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SX2 @ ( union @ SX0 @ SX1 ) @ mactual )
                          | ( member @ SX2 @ SX0 @ mactual )
                          | ( member @ SX2 @ SX1 @ mactual ) )
                      | ~ ( ~ ( ( member @ SX2 @ SX0 @ mactual )
                              | ( member @ SX2 @ SX1 @ mactual ) )
                          | ( member @ SX2 @ ( union @ SX0 @ SX1 ) @ mactual ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[154,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(194,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ! [SX3: $i] :
                      ( ~ ( eiw_di @ SX3 @ mactual )
                      | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                      | ( qmltpeq @ ( restrict @ SX2 @ SX3 @ SX0 ) @ ( restrict @ SX2 @ SX3 @ SX1 ) @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[116,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(195,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( qmltpeq @ ( successor @ SX0 ) @ ( union @ SX0 @ ( singleton @ SX0 ) ) @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(196,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( member @ SX0 @ ( power_class @ SX1 ) @ mactual )
                      | ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                          | ~ ( subclass @ SX0 @ SX1 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                            | ~ ( subclass @ SX0 @ SX1 @ mactual ) )
                      | ( member @ SX0 @ ( power_class @ SX1 ) @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(197,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( ordered_pair @ SX0 @ SX2 ) @ ( ordered_pair @ SX1 @ SX2 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[110,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(198,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                        | ~ ( subclass @ SX0 @ SX2 @ mactual ) )
                  | ( subclass @ SX1 @ SX2 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(199,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( member @ SX1 @ ( complement @ SX0 ) @ mactual )
                      | ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                          | ~ ~ ( member @ SX1 @ SX0 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                            | ~ ~ ( member @ SX1 @ SX0 @ mactual ) )
                      | ( member @ SX1 @ ( complement @ SX0 ) @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[146,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(200,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( intersection @ SX0 @ SX2 ) @ ( intersection @ SX1 @ SX2 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(201,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( compose @ SX0 @ SX2 ) @ ( compose @ SX1 @ SX2 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(202,plain,
    ( ( subclass @ successor_relation @ ( cross_product @ universal_class @ universal_class ) @ mactual )
    = $true ),
    inference(unfold_def,[status(thm)],[156,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(203,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ( subclass @ ( compose @ SX1 @ SX0 ) @ ( cross_product @ universal_class @ universal_class ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(204,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( inverse @ SX0 ) @ ( inverse @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[109,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(205,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                        | ~ ( qmltpeq @ SX1 @ SX2 @ mactual ) )
                  | ( qmltpeq @ SX0 @ SX2 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(206,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( subclass @ SX0 @ SX1 @ mactual )
                      | ! [SX2: $i] :
                          ( ~ ( eiw_di @ SX2 @ mactual )
                          | ~ ( member @ SX2 @ SX0 @ mactual )
                          | ( member @ SX2 @ SX1 @ mactual ) ) )
                  | ~ ( ~ ! [SX2: $i] :
                            ( ~ ( eiw_di @ SX2 @ mactual )
                            | ~ ( member @ SX2 @ SX0 @ mactual )
                            | ( member @ SX2 @ SX1 @ mactual ) )
                      | ( subclass @ SX0 @ SX1 @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[134,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(207,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                    | ~ ( function @ SX0 @ mactual ) )
              | ( function @ SX1 @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(208,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( second @ SX0 ) @ ( second @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[118,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(209,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( apply @ SX2 @ SX0 ) @ ( apply @ SX2 @ SX1 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(210,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( cross_product @ SX2 @ SX0 ) @ ( cross_product @ SX2 @ SX1 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(211,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ~ ( member @ SX0 @ universal_class @ mactual )
          | ( member @ ( sum_class @ SX0 ) @ universal_class @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(212,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                        | ~ ( subclass @ SX2 @ SX0 @ mactual ) )
                  | ( subclass @ SX2 @ SX1 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(213,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( ordered_pair @ SX2 @ SX0 ) @ ( ordered_pair @ SX2 @ SX1 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[111,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(214,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( image @ SX2 @ SX0 ) @ ( image @ SX2 @ SX1 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[106,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(215,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                        | ~ ( member @ SX0 @ SX2 @ mactual ) )
                  | ( member @ SX1 @ SX2 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(216,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ~ ( member @ SX0 @ universal_class @ mactual )
          | ( member @ ( power_class @ SX0 ) @ universal_class @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(217,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( intersection @ SX2 @ SX0 ) @ ( intersection @ SX2 @ SX1 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[108,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(218,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                    | ~ ( inductive @ SX0 @ mactual ) )
              | ( inductive @ SX1 @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[129,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(219,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                        | ~ ( disjoint @ SX0 @ SX2 @ mactual ) )
                  | ( disjoint @ SX1 @ SX2 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(220,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
                | ~ ~ ( ~ ( function @ SX0 @ mactual )
                      | ~ ! [SX1: $i] :
                            ( ~ ( eiw_di @ SX1 @ mactual )
                            | ~ ( member @ SX1 @ universal_class @ mactual )
                            | ( qmltpeq @ SX1 @ null_class @ mactual )
                            | ( member @ ( apply @ SX0 @ SX1 ) @ SX1 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(221,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( subclass @ ( flip @ SX0 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(222,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                      | ~ ( ~ ( subclass @ SX0 @ SX1 @ mactual )
                          | ~ ( subclass @ SX1 @ SX0 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( subclass @ SX0 @ SX1 @ mactual )
                            | ~ ( subclass @ SX1 @ SX0 @ mactual ) )
                      | ( qmltpeq @ SX0 @ SX1 @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[136,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(223,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( qmltpeq @ SX0 @ SX0 @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(224,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( singleton @ SX0 ) @ ( singleton @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[119,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(225,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ SX1 @ SX0 @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(226,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( eiw_di @ SX0 @ mactual )
            | ( qmltpeq @ SX0 @ SX0 @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(227,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
                | ~ ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                      | ~ ~ ( ~ ( inductive @ SX0 @ mactual )
                            | ~ ! [SX1: $i] :
                                  ( ~ ( eiw_di @ SX1 @ mactual )
                                  | ~ ( inductive @ SX1 @ mactual )
                                  | ( subclass @ SX0 @ SX1 @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(228,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( successor @ SX0 ) @ ( successor @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[120,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(229,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ~ ( member @ SX0 @ null_class @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[148,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(230,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                        | ~ ( disjoint @ SX2 @ SX0 @ mactual ) )
                  | ( disjoint @ SX2 @ SX1 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(231,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ~ ( ~ ( ~ ( function @ SX0 @ mactual )
                  | ~ ( ~ ( subclass @ SX0 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                      | ~ ( subclass @ ( compose @ SX0 @ ( inverse @ SX0 ) ) @ identity_relation @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( subclass @ SX0 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                        | ~ ( subclass @ ( compose @ SX0 @ ( inverse @ SX0 ) ) @ identity_relation @ mactual ) )
                  | ( function @ SX0 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(232,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( disjoint @ SX0 @ SX1 @ mactual )
                      | ! [SX2: $i] :
                          ( ~ ( eiw_di @ SX2 @ mactual )
                          | ~ ~ ( ~ ( member @ SX2 @ SX0 @ mactual )
                                | ~ ( member @ SX2 @ SX1 @ mactual ) ) ) )
                  | ~ ( ~ ! [SX2: $i] :
                            ( ~ ( eiw_di @ SX2 @ mactual )
                            | ~ ~ ( ~ ( member @ SX2 @ SX0 @ mactual )
                                  | ~ ( member @ SX2 @ SX1 @ mactual ) ) )
                      | ( disjoint @ SX0 @ SX1 @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(233,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SX0 @ SX1 ) @ successor_relation @ mactual )
                      | ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                                | ~ ( qmltpeq @ ( successor @ SX0 ) @ SX1 @ mactual ) ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                            | ~ ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                                  | ~ ( qmltpeq @ ( successor @ SX0 ) @ SX1 @ mactual ) ) )
                      | ( member @ ( ordered_pair @ SX0 @ SX1 ) @ successor_relation @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(234,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SX0 @ ( unordered_pair @ SX1 @ SX2 ) @ mactual )
                          | ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                              | ~ ( ( qmltpeq @ SX0 @ SX1 @ mactual )
                                  | ( qmltpeq @ SX0 @ SX2 @ mactual ) ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                                | ~ ( ( qmltpeq @ SX0 @ SX1 @ mactual )
                                    | ( qmltpeq @ SX0 @ SX2 @ mactual ) ) )
                          | ( member @ SX0 @ ( unordered_pair @ SX1 @ SX2 ) @ mactual ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(235,plain,
    ( ( subclass @ element_relation @ ( cross_product @ universal_class @ universal_class ) @ mactual )
    = $true ),
    inference(unfold_def,[status(thm)],[144,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(236,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( member @ SX2 @ ( cross_product @ SX0 @ SX1 ) @ mactual )
                  | ( qmltpeq @ SX2 @ ( ordered_pair @ ( first @ SX2 ) @ ( second @ SX2 ) ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[142,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(237,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ~ ( ~ ( ~ ( inductive @ SX0 @ mactual )
                  | ~ ( ~ ( member @ null_class @ SX0 @ mactual )
                      | ~ ( subclass @ ( image @ successor_relation @ SX0 ) @ SX0 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ null_class @ SX0 @ mactual )
                        | ~ ( subclass @ ( image @ successor_relation @ SX0 ) @ SX0 @ mactual ) )
                  | ( inductive @ SX0 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(238,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ! [SX3: $i] :
                      ( ~ ( eiw_di @ SX3 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX2 ) @ SX3 ) @ ( rotate @ SX0 ) @ mactual )
                              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX2 ) @ SX3 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX2 @ SX3 ) @ SX1 ) @ SX0 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX2 ) @ SX3 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX2 @ SX3 ) @ SX1 ) @ SX0 @ mactual ) )
                              | ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX2 ) @ SX3 ) @ ( rotate @ SX0 ) @ mactual ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[150,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(239,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( rotate @ SX0 ) @ ( rotate @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[117,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(240,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ~ ~ ( qmltpeq @ SX0 @ null_class @ mactual )
          | ~ ! [SX1: $i] :
                ~ ~ ( ~ ( eiw_di @ SX1 @ mactual )
                    | ~ ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SX1 @ SX0 @ mactual )
                                | ~ ( disjoint @ SX1 @ SX0 @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(241,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SX0 @ SX1 ) @ element_relation @ mactual )
                      | ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                          | ~ ( member @ SX0 @ SX1 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SX1 @ universal_class @ mactual )
                            | ~ ( member @ SX0 @ SX1 @ mactual ) )
                      | ( member @ ( ordered_pair @ SX0 @ SX1 ) @ element_relation @ mactual ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(242,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( unordered_pair @ SX2 @ SX0 ) @ ( unordered_pair @ SX2 @ SX1 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(243,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( subclass @ SX0 @ universal_class @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[135,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(244,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( image @ SX0 @ SX2 ) @ ( image @ SX1 @ SX2 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[105,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(245,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( cross_product @ SX0 @ SX2 ) @ ( cross_product @ SX1 @ SX2 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(246,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( union @ SX0 @ SX2 ) @ ( union @ SX1 @ SX2 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[122,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(247,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                        | ~ ( member @ SX2 @ SX0 @ mactual ) )
                  | ( member @ SX2 @ SX1 @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(248,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( qmltpeq @ ( range_of @ SX0 ) @ ( domain_of @ ( inverse @ SX0 ) ) @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(249,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SX0 @ SX1 ) @ ( unordered_pair @ ( singleton @ SX0 ) @ ( unordered_pair @ SX0 @ ( singleton @ SX1 ) ) ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[140,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(250,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
                  | ( qmltpeq @ ( unordered_pair @ SX0 @ SX2 ) @ ( unordered_pair @ SX1 @ SX2 ) @ mactual ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(251,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ( qmltpeq @ ( image @ SX1 @ SX0 ) @ ( range_of @ ( restrict @ SX1 @ SX0 @ universal_class ) ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(252,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ! [SX3: $i] :
                      ( ~ ( eiw_di @ SX3 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX0 @ SX1 ) @ SX2 ) @ ( flip @ SX3 ) @ mactual )
                              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX0 @ SX1 ) @ SX2 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX0 ) @ SX2 ) @ SX3 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX0 @ SX1 ) @ SX2 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SX1 @ SX0 ) @ SX2 ) @ SX3 @ mactual ) )
                              | ( member @ ( ordered_pair @ ( ordered_pair @ SX0 @ SX1 ) @ SX2 ) @ ( flip @ SX3 ) @ mactual ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(253,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ! [SX3: $i] :
                      ( ~ ( eiw_di @ SX3 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SX2 @ SX3 ) @ ( compose @ SX1 @ SX0 ) @ mactual )
                              | ~ ( ~ ( member @ SX2 @ universal_class @ mactual )
                                  | ~ ( member @ SX3 @ ( image @ SX1 @ ( image @ SX1 @ ( singleton @ SX2 ) ) ) @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class @ mactual )
                                    | ~ ( member @ SX3 @ ( image @ SX1 @ ( image @ SX1 @ ( singleton @ SX2 ) ) ) @ mactual ) )
                              | ( member @ ( ordered_pair @ SX2 @ SX3 ) @ ( compose @ SX1 @ SX0 ) @ mactual ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(254,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ! [SX3: $i] :
                      ( ~ ( eiw_di @ SX3 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SX0 @ SX1 ) @ ( cross_product @ SX2 @ SX3 ) @ mactual )
                              | ~ ( ~ ( member @ SX0 @ SX2 @ mactual )
                                  | ~ ( member @ SX1 @ SX3 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ SX0 @ SX2 @ mactual )
                                    | ~ ( member @ SX1 @ SX3 @ mactual ) )
                              | ( member @ ( ordered_pair @ SX0 @ SX1 ) @ ( cross_product @ SX2 @ SX3 ) @ mactual ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(255,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( sum_class @ SX0 ) @ ( sum_class @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[121,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(256,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SX2 @ ( intersection @ SX0 @ SX1 ) @ mactual )
                          | ~ ( ~ ( member @ SX2 @ SX0 @ mactual )
                              | ~ ( member @ SX2 @ SX1 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SX2 @ SX0 @ mactual )
                                | ~ ( member @ SX2 @ SX1 @ mactual ) )
                          | ( member @ SX2 @ ( intersection @ SX0 @ SX1 ) @ mactual ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(257,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( domain_of @ SX0 ) @ ( domain_of @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[102,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(258,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( first @ SX0 ) @ ( first @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(259,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ mactual )
              | ~ ( qmltpeq @ SX0 @ SX1 @ mactual )
              | ( qmltpeq @ ( flip @ SX0 ) @ ( flip @ SX1 ) @ mactual ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(260,plain,
    ! [SV1: mworld] :
      ( ( ! [SY0: mworld] : ( mrel @ SV1 @ SY0 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(261,plain,
    ! [SV2: mworld] :
      ( ( eiw_di @ ( sK1_X @ SV2 ) @ SV2 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(262,plain,
    ! [SV3: $i] :
      ( ( ~ ( eiw_di @ SV3 @ mactual )
        | ! [SY1: $i] :
            ( ~ ( eiw_di @ SY1 @ mactual )
            | ! [SY2: $i] :
                ( ~ ( eiw_di @ SY2 @ mactual )
                | ! [SY3: $i] :
                    ( ~ ( eiw_di @ SY3 @ mactual )
                    | ~ ( qmltpeq @ SV3 @ SY1 @ mactual )
                    | ( qmltpeq @ ( restrict @ SY2 @ SV3 @ SY3 ) @ ( restrict @ SY2 @ SY1 @ SY3 ) @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[176]) ).

thf(263,plain,
    ! [SV4: $i] :
      ( ( ~ ( eiw_di @ SV4 @ mactual )
        | ! [SY4: $i] :
            ( ~ ( eiw_di @ SY4 @ mactual )
            | ~ ( ~ ( ~ ( member @ SY4 @ ( domain_of @ SV4 ) @ mactual )
                    | ~ ( ~ ( member @ SY4 @ universal_class @ mactual )
                        | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SY4 ) @ universal_class ) @ null_class @ mactual ) ) )
                | ~ ( ~ ~ ( ~ ( member @ SY4 @ universal_class @ mactual )
                          | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SY4 ) @ universal_class ) @ null_class @ mactual ) )
                    | ( member @ SY4 @ ( domain_of @ SV4 ) @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[177]) ).

thf(264,plain,
    ! [SV5: $i] :
      ( ( ~ ( eiw_di @ SV5 @ mactual )
        | ! [SY5: $i] :
            ( ~ ( eiw_di @ SY5 @ mactual )
            | ! [SY6: $i] :
                ( ~ ( eiw_di @ SY6 @ mactual )
                | ~ ( qmltpeq @ SV5 @ SY5 @ mactual )
                | ( qmltpeq @ ( apply @ SV5 @ SY6 ) @ ( apply @ SY5 @ SY6 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[178]) ).

thf(265,plain,
    ! [SV6: $i] :
      ( ( ~ ( eiw_di @ SV6 @ mactual )
        | ! [SY7: $i] :
            ( ~ ( eiw_di @ SY7 @ mactual )
            | ! [SY8: $i] :
                ( ~ ( eiw_di @ SY8 @ mactual )
                | ! [SY9: $i] :
                    ( ~ ( eiw_di @ SY9 @ mactual )
                    | ~ ( qmltpeq @ SV6 @ SY7 @ mactual )
                    | ( qmltpeq @ ( restrict @ SV6 @ SY8 @ SY9 ) @ ( restrict @ SY7 @ SY8 @ SY9 ) @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(266,plain,
    ! [SV7: $i] :
      ( ( ~ ( eiw_di @ SV7 @ mactual )
        | ! [SY10: $i] :
            ( ~ ( eiw_di @ SY10 @ mactual )
            | ! [SY11: $i] :
                ( ~ ( eiw_di @ SY11 @ mactual )
                | ~ ( qmltpeq @ SV7 @ SY10 @ mactual )
                | ( qmltpeq @ ( compose @ SY11 @ SV7 ) @ ( compose @ SY11 @ SY10 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[180]) ).

thf(267,plain,
    ! [SV8: $i] :
      ( ( ~ ( eiw_di @ SV8 @ mactual )
        | ! [SY12: $i] :
            ( ~ ( eiw_di @ SY12 @ mactual )
            | ~ ( ~ ( ~ ( member @ SV8 @ ( sum_class @ SY12 ) @ mactual )
                    | ~ ! [SY13: $i] :
                          ~ ~ ( ~ ( eiw_di @ SY13 @ mactual )
                              | ~ ~ ( ~ ( member @ SV8 @ SY13 @ mactual )
                                    | ~ ( member @ SY13 @ SY12 @ mactual ) ) ) )
                | ~ ( ~ ~ ! [SY14: $i] :
                            ~ ~ ( ~ ( eiw_di @ SY14 @ mactual )
                                | ~ ~ ( ~ ( member @ SV8 @ SY14 @ mactual )
                                      | ~ ( member @ SY14 @ SY12 @ mactual ) ) )
                    | ( member @ SV8 @ ( sum_class @ SY12 ) @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[181]) ).

thf(268,plain,
    ! [SV9: $i] :
      ( ( ~ ( eiw_di @ SV9 @ mactual )
        | ! [SY15: $i] :
            ( ~ ( eiw_di @ SY15 @ mactual )
            | ~ ( qmltpeq @ SV9 @ SY15 @ mactual )
            | ( qmltpeq @ ( complement @ SV9 ) @ ( complement @ SY15 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[182]) ).

thf(269,plain,
    ! [SV10: $i] :
      ( ( ~ ( eiw_di @ SV10 @ mactual )
        | ! [SY16: $i] :
            ( ~ ( eiw_di @ SY16 @ mactual )
            | ( qmltpeq @ ( apply @ SV10 @ SY16 ) @ ( sum_class @ ( image @ SV10 @ ( singleton @ SY16 ) ) ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(270,plain,
    ! [SV11: $i] :
      ( ( ~ ( eiw_di @ SV11 @ mactual )
        | ! [SY17: $i] :
            ( ~ ( eiw_di @ SY17 @ mactual )
            | ! [SY18: $i] :
                ( ~ ( eiw_di @ SY18 @ mactual )
                | ( qmltpeq @ ( restrict @ SY17 @ SV11 @ SY18 ) @ ( intersection @ SY17 @ ( cross_product @ SV11 @ SY18 ) ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[184]) ).

thf(271,plain,
    ! [SV12: $i] :
      ( ( ~ ( eiw_di @ SV12 @ mactual )
        | ( qmltpeq @ ( singleton @ SV12 ) @ ( unordered_pair @ SV12 @ SV12 ) @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[185]) ).

thf(272,plain,
    ! [SV13: $i] :
      ( ( ~ ( eiw_di @ SV13 @ mactual )
        | ! [SY19: $i] :
            ( ~ ( eiw_di @ SY19 @ mactual )
            | ! [SY20: $i] :
                ( ~ ( eiw_di @ SY20 @ mactual )
                | ~ ( qmltpeq @ SV13 @ SY19 @ mactual )
                | ( qmltpeq @ ( union @ SY20 @ SV13 ) @ ( union @ SY20 @ SY19 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[186]) ).

thf(273,plain,
    ! [SV14: $i] :
      ( ( ~ ( eiw_di @ SV14 @ mactual )
        | ! [SY21: $i] :
            ( ~ ( eiw_di @ SY21 @ mactual )
            | ~ ( qmltpeq @ SV14 @ SY21 @ mactual )
            | ( qmltpeq @ ( power_class @ SV14 ) @ ( power_class @ SY21 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[187]) ).

thf(274,plain,
    ! [SV15: $i] :
      ( ( ~ ( eiw_di @ SV15 @ mactual )
        | ! [SY22: $i] :
            ( ~ ( eiw_di @ SY22 @ mactual )
            | ~ ~ ( ~ ( member @ SV15 @ universal_class @ mactual )
                  | ~ ( function @ SY22 @ mactual ) )
            | ( member @ ( image @ SY22 @ SV15 ) @ universal_class @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(275,plain,
    ! [SV16: $i] :
      ( ( ~ ( eiw_di @ SV16 @ mactual )
        | ! [SY23: $i] :
            ( ~ ( eiw_di @ SY23 @ mactual )
            | ( member @ ( unordered_pair @ SV16 @ SY23 ) @ universal_class @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[189]) ).

thf(276,plain,
    ! [SV17: $i] :
      ( ( ~ ( eiw_di @ SV17 @ mactual )
        | ! [SY24: $i] :
            ( ~ ( eiw_di @ SY24 @ mactual )
            | ~ ( qmltpeq @ SV17 @ SY24 @ mactual )
            | ( qmltpeq @ ( range_of @ SV17 ) @ ( range_of @ SY24 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[190]) ).

thf(277,plain,
    ! [SV18: $i] :
      ( ( ~ ( eiw_di @ SV18 @ mactual )
        | ( qmltpeq @ ( inverse @ SV18 ) @ ( domain_of @ ( flip @ ( cross_product @ SV18 @ universal_class ) ) ) @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[191]) ).

thf(278,plain,
    ! [SV19: $i] :
      ( ( ~ ( eiw_di @ SV19 @ mactual )
        | ( subclass @ ( rotate @ SV19 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[192]) ).

thf(279,plain,
    ! [SV20: $i] :
      ( ( ~ ( eiw_di @ SV20 @ mactual )
        | ! [SY25: $i] :
            ( ~ ( eiw_di @ SY25 @ mactual )
            | ! [SY26: $i] :
                ( ~ ( eiw_di @ SY26 @ mactual )
                | ~ ( ~ ( ~ ( member @ SY26 @ ( union @ SV20 @ SY25 ) @ mactual )
                        | ( member @ SY26 @ SV20 @ mactual )
                        | ( member @ SY26 @ SY25 @ mactual ) )
                    | ~ ( ~ ( ( member @ SY26 @ SV20 @ mactual )
                            | ( member @ SY26 @ SY25 @ mactual ) )
                        | ( member @ SY26 @ ( union @ SV20 @ SY25 ) @ mactual ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[193]) ).

thf(280,plain,
    ! [SV21: $i] :
      ( ( ~ ( eiw_di @ SV21 @ mactual )
        | ! [SY27: $i] :
            ( ~ ( eiw_di @ SY27 @ mactual )
            | ! [SY28: $i] :
                ( ~ ( eiw_di @ SY28 @ mactual )
                | ! [SY29: $i] :
                    ( ~ ( eiw_di @ SY29 @ mactual )
                    | ~ ( qmltpeq @ SV21 @ SY27 @ mactual )
                    | ( qmltpeq @ ( restrict @ SY28 @ SY29 @ SV21 ) @ ( restrict @ SY28 @ SY29 @ SY27 ) @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[194]) ).

thf(281,plain,
    ! [SV22: $i] :
      ( ( ~ ( eiw_di @ SV22 @ mactual )
        | ( qmltpeq @ ( successor @ SV22 ) @ ( union @ SV22 @ ( singleton @ SV22 ) ) @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[195]) ).

thf(282,plain,
    ! [SV23: $i] :
      ( ( ~ ( eiw_di @ SV23 @ mactual )
        | ! [SY30: $i] :
            ( ~ ( eiw_di @ SY30 @ mactual )
            | ~ ( ~ ( ~ ( member @ SV23 @ ( power_class @ SY30 ) @ mactual )
                    | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                        | ~ ( subclass @ SV23 @ SY30 @ mactual ) ) )
                | ~ ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                          | ~ ( subclass @ SV23 @ SY30 @ mactual ) )
                    | ( member @ SV23 @ ( power_class @ SY30 ) @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[196]) ).

thf(283,plain,
    ! [SV24: $i] :
      ( ( ~ ( eiw_di @ SV24 @ mactual )
        | ! [SY31: $i] :
            ( ~ ( eiw_di @ SY31 @ mactual )
            | ! [SY32: $i] :
                ( ~ ( eiw_di @ SY32 @ mactual )
                | ~ ( qmltpeq @ SV24 @ SY31 @ mactual )
                | ( qmltpeq @ ( ordered_pair @ SV24 @ SY32 ) @ ( ordered_pair @ SY31 @ SY32 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[197]) ).

thf(284,plain,
    ! [SV25: $i] :
      ( ( ~ ( eiw_di @ SV25 @ mactual )
        | ! [SY33: $i] :
            ( ~ ( eiw_di @ SY33 @ mactual )
            | ! [SY34: $i] :
                ( ~ ( eiw_di @ SY34 @ mactual )
                | ~ ~ ( ~ ( qmltpeq @ SV25 @ SY33 @ mactual )
                      | ~ ( subclass @ SV25 @ SY34 @ mactual ) )
                | ( subclass @ SY33 @ SY34 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[198]) ).

thf(285,plain,
    ! [SV26: $i] :
      ( ( ~ ( eiw_di @ SV26 @ mactual )
        | ! [SY35: $i] :
            ( ~ ( eiw_di @ SY35 @ mactual )
            | ~ ( ~ ( ~ ( member @ SY35 @ ( complement @ SV26 ) @ mactual )
                    | ~ ( ~ ( member @ SY35 @ universal_class @ mactual )
                        | ~ ~ ( member @ SY35 @ SV26 @ mactual ) ) )
                | ~ ( ~ ~ ( ~ ( member @ SY35 @ universal_class @ mactual )
                          | ~ ~ ( member @ SY35 @ SV26 @ mactual ) )
                    | ( member @ SY35 @ ( complement @ SV26 ) @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[199]) ).

thf(286,plain,
    ! [SV27: $i] :
      ( ( ~ ( eiw_di @ SV27 @ mactual )
        | ! [SY36: $i] :
            ( ~ ( eiw_di @ SY36 @ mactual )
            | ! [SY37: $i] :
                ( ~ ( eiw_di @ SY37 @ mactual )
                | ~ ( qmltpeq @ SV27 @ SY36 @ mactual )
                | ( qmltpeq @ ( intersection @ SV27 @ SY37 ) @ ( intersection @ SY36 @ SY37 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[200]) ).

thf(287,plain,
    ! [SV28: $i] :
      ( ( ~ ( eiw_di @ SV28 @ mactual )
        | ! [SY38: $i] :
            ( ~ ( eiw_di @ SY38 @ mactual )
            | ! [SY39: $i] :
                ( ~ ( eiw_di @ SY39 @ mactual )
                | ~ ( qmltpeq @ SV28 @ SY38 @ mactual )
                | ( qmltpeq @ ( compose @ SV28 @ SY39 ) @ ( compose @ SY38 @ SY39 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[201]) ).

thf(288,plain,
    ! [SV29: $i] :
      ( ( ~ ( eiw_di @ SV29 @ mactual )
        | ! [SY40: $i] :
            ( ~ ( eiw_di @ SY40 @ mactual )
            | ( subclass @ ( compose @ SY40 @ SV29 ) @ ( cross_product @ universal_class @ universal_class ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[203]) ).

thf(289,plain,
    ! [SV30: $i] :
      ( ( ~ ( eiw_di @ SV30 @ mactual )
        | ! [SY41: $i] :
            ( ~ ( eiw_di @ SY41 @ mactual )
            | ~ ( qmltpeq @ SV30 @ SY41 @ mactual )
            | ( qmltpeq @ ( inverse @ SV30 ) @ ( inverse @ SY41 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[204]) ).

thf(290,plain,
    ! [SV31: $i] :
      ( ( ~ ( eiw_di @ SV31 @ mactual )
        | ! [SY42: $i] :
            ( ~ ( eiw_di @ SY42 @ mactual )
            | ! [SY43: $i] :
                ( ~ ( eiw_di @ SY43 @ mactual )
                | ~ ~ ( ~ ( qmltpeq @ SV31 @ SY42 @ mactual )
                      | ~ ( qmltpeq @ SY42 @ SY43 @ mactual ) )
                | ( qmltpeq @ SV31 @ SY43 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(291,plain,
    ! [SV32: $i] :
      ( ( ~ ( eiw_di @ SV32 @ mactual )
        | ! [SY44: $i] :
            ( ~ ( eiw_di @ SY44 @ mactual )
            | ~ ( ~ ( ~ ( subclass @ SV32 @ SY44 @ mactual )
                    | ! [SY45: $i] :
                        ( ~ ( eiw_di @ SY45 @ mactual )
                        | ~ ( member @ SY45 @ SV32 @ mactual )
                        | ( member @ SY45 @ SY44 @ mactual ) ) )
                | ~ ( ~ ! [SY46: $i] :
                          ( ~ ( eiw_di @ SY46 @ mactual )
                          | ~ ( member @ SY46 @ SV32 @ mactual )
                          | ( member @ SY46 @ SY44 @ mactual ) )
                    | ( subclass @ SV32 @ SY44 @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[206]) ).

thf(292,plain,
    ! [SV33: $i] :
      ( ( ~ ( eiw_di @ SV33 @ mactual )
        | ! [SY47: $i] :
            ( ~ ( eiw_di @ SY47 @ mactual )
            | ~ ~ ( ~ ( qmltpeq @ SV33 @ SY47 @ mactual )
                  | ~ ( function @ SV33 @ mactual ) )
            | ( function @ SY47 @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[207]) ).

thf(293,plain,
    ! [SV34: $i] :
      ( ( ~ ( eiw_di @ SV34 @ mactual )
        | ! [SY48: $i] :
            ( ~ ( eiw_di @ SY48 @ mactual )
            | ~ ( qmltpeq @ SV34 @ SY48 @ mactual )
            | ( qmltpeq @ ( second @ SV34 ) @ ( second @ SY48 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[208]) ).

thf(294,plain,
    ! [SV35: $i] :
      ( ( ~ ( eiw_di @ SV35 @ mactual )
        | ! [SY49: $i] :
            ( ~ ( eiw_di @ SY49 @ mactual )
            | ! [SY50: $i] :
                ( ~ ( eiw_di @ SY50 @ mactual )
                | ~ ( qmltpeq @ SV35 @ SY49 @ mactual )
                | ( qmltpeq @ ( apply @ SY50 @ SV35 ) @ ( apply @ SY50 @ SY49 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[209]) ).

thf(295,plain,
    ! [SV36: $i] :
      ( ( ~ ( eiw_di @ SV36 @ mactual )
        | ! [SY51: $i] :
            ( ~ ( eiw_di @ SY51 @ mactual )
            | ! [SY52: $i] :
                ( ~ ( eiw_di @ SY52 @ mactual )
                | ~ ( qmltpeq @ SV36 @ SY51 @ mactual )
                | ( qmltpeq @ ( cross_product @ SY52 @ SV36 ) @ ( cross_product @ SY52 @ SY51 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[210]) ).

thf(296,plain,
    ! [SV37: $i] :
      ( ( ~ ( eiw_di @ SV37 @ mactual )
        | ~ ( member @ SV37 @ universal_class @ mactual )
        | ( member @ ( sum_class @ SV37 ) @ universal_class @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[211]) ).

thf(297,plain,
    ! [SV38: $i] :
      ( ( ~ ( eiw_di @ SV38 @ mactual )
        | ! [SY53: $i] :
            ( ~ ( eiw_di @ SY53 @ mactual )
            | ! [SY54: $i] :
                ( ~ ( eiw_di @ SY54 @ mactual )
                | ~ ~ ( ~ ( qmltpeq @ SV38 @ SY53 @ mactual )
                      | ~ ( subclass @ SY54 @ SV38 @ mactual ) )
                | ( subclass @ SY54 @ SY53 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[212]) ).

thf(298,plain,
    ! [SV39: $i] :
      ( ( ~ ( eiw_di @ SV39 @ mactual )
        | ! [SY55: $i] :
            ( ~ ( eiw_di @ SY55 @ mactual )
            | ! [SY56: $i] :
                ( ~ ( eiw_di @ SY56 @ mactual )
                | ~ ( qmltpeq @ SV39 @ SY55 @ mactual )
                | ( qmltpeq @ ( ordered_pair @ SY56 @ SV39 ) @ ( ordered_pair @ SY56 @ SY55 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[213]) ).

thf(299,plain,
    ! [SV40: $i] :
      ( ( ~ ( eiw_di @ SV40 @ mactual )
        | ! [SY57: $i] :
            ( ~ ( eiw_di @ SY57 @ mactual )
            | ! [SY58: $i] :
                ( ~ ( eiw_di @ SY58 @ mactual )
                | ~ ( qmltpeq @ SV40 @ SY57 @ mactual )
                | ( qmltpeq @ ( image @ SY58 @ SV40 ) @ ( image @ SY58 @ SY57 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[214]) ).

thf(300,plain,
    ! [SV41: $i] :
      ( ( ~ ( eiw_di @ SV41 @ mactual )
        | ! [SY59: $i] :
            ( ~ ( eiw_di @ SY59 @ mactual )
            | ! [SY60: $i] :
                ( ~ ( eiw_di @ SY60 @ mactual )
                | ~ ~ ( ~ ( qmltpeq @ SV41 @ SY59 @ mactual )
                      | ~ ( member @ SV41 @ SY60 @ mactual ) )
                | ( member @ SY59 @ SY60 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[215]) ).

thf(301,plain,
    ! [SV42: $i] :
      ( ( ~ ( eiw_di @ SV42 @ mactual )
        | ~ ( member @ SV42 @ universal_class @ mactual )
        | ( member @ ( power_class @ SV42 ) @ universal_class @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[216]) ).

thf(302,plain,
    ! [SV43: $i] :
      ( ( ~ ( eiw_di @ SV43 @ mactual )
        | ! [SY61: $i] :
            ( ~ ( eiw_di @ SY61 @ mactual )
            | ! [SY62: $i] :
                ( ~ ( eiw_di @ SY62 @ mactual )
                | ~ ( qmltpeq @ SV43 @ SY61 @ mactual )
                | ( qmltpeq @ ( intersection @ SY62 @ SV43 ) @ ( intersection @ SY62 @ SY61 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(303,plain,
    ! [SV44: $i] :
      ( ( ~ ( eiw_di @ SV44 @ mactual )
        | ! [SY63: $i] :
            ( ~ ( eiw_di @ SY63 @ mactual )
            | ~ ~ ( ~ ( qmltpeq @ SV44 @ SY63 @ mactual )
                  | ~ ( inductive @ SV44 @ mactual ) )
            | ( inductive @ SY63 @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[218]) ).

thf(304,plain,
    ! [SV45: $i] :
      ( ( ~ ( eiw_di @ SV45 @ mactual )
        | ! [SY64: $i] :
            ( ~ ( eiw_di @ SY64 @ mactual )
            | ! [SY65: $i] :
                ( ~ ( eiw_di @ SY65 @ mactual )
                | ~ ~ ( ~ ( qmltpeq @ SV45 @ SY64 @ mactual )
                      | ~ ( disjoint @ SV45 @ SY65 @ mactual ) )
                | ( disjoint @ SY64 @ SY65 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(305,plain,
    ( ( ! [SX0: $i] :
          ~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
              | ~ ~ ( ~ ( function @ SX0 @ mactual )
                    | ~ ! [SX1: $i] :
                          ( ~ ( eiw_di @ SX1 @ mactual )
                          | ~ ( member @ SX1 @ universal_class @ mactual )
                          | ( qmltpeq @ SX1 @ null_class @ mactual )
                          | ( member @ ( apply @ SX0 @ SX1 ) @ SX1 @ mactual ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(306,plain,
    ! [SV46: $i] :
      ( ( ~ ( eiw_di @ SV46 @ mactual )
        | ( subclass @ ( flip @ SV46 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[221]) ).

thf(307,plain,
    ! [SV47: $i] :
      ( ( ~ ( eiw_di @ SV47 @ mactual )
        | ! [SY66: $i] :
            ( ~ ( eiw_di @ SY66 @ mactual )
            | ~ ( ~ ( ~ ( qmltpeq @ SV47 @ SY66 @ mactual )
                    | ~ ( ~ ( subclass @ SV47 @ SY66 @ mactual )
                        | ~ ( subclass @ SY66 @ SV47 @ mactual ) ) )
                | ~ ( ~ ~ ( ~ ( subclass @ SV47 @ SY66 @ mactual )
                          | ~ ( subclass @ SY66 @ SV47 @ mactual ) )
                    | ( qmltpeq @ SV47 @ SY66 @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[222]) ).

thf(308,plain,
    ! [SV48: $i] :
      ( ( ~ ( eiw_di @ SV48 @ mactual )
        | ( qmltpeq @ SV48 @ SV48 @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(309,plain,
    ! [SV49: $i] :
      ( ( ~ ( eiw_di @ SV49 @ mactual )
        | ! [SY67: $i] :
            ( ~ ( eiw_di @ SY67 @ mactual )
            | ~ ( qmltpeq @ SV49 @ SY67 @ mactual )
            | ( qmltpeq @ ( singleton @ SV49 ) @ ( singleton @ SY67 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[224]) ).

thf(310,plain,
    ! [SV50: $i] :
      ( ( ~ ( eiw_di @ SV50 @ mactual )
        | ! [SY68: $i] :
            ( ~ ( eiw_di @ SY68 @ mactual )
            | ~ ( qmltpeq @ SV50 @ SY68 @ mactual )
            | ( qmltpeq @ SY68 @ SV50 @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[225]) ).

thf(311,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( eiw_di @ SX0 @ mactual )
          | ( qmltpeq @ SX0 @ SX0 @ mactual ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(312,plain,
    ( ( ! [SX0: $i] :
          ~ ~ ( ~ ( eiw_di @ SX0 @ mactual )
              | ~ ~ ( ~ ( member @ SX0 @ universal_class @ mactual )
                    | ~ ~ ( ~ ( inductive @ SX0 @ mactual )
                          | ~ ! [SX1: $i] :
                                ( ~ ( eiw_di @ SX1 @ mactual )
                                | ~ ( inductive @ SX1 @ mactual )
                                | ( subclass @ SX0 @ SX1 @ mactual ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[227]) ).

thf(313,plain,
    ! [SV51: $i] :
      ( ( ~ ( eiw_di @ SV51 @ mactual )
        | ! [SY69: $i] :
            ( ~ ( eiw_di @ SY69 @ mactual )
            | ~ ( qmltpeq @ SV51 @ SY69 @ mactual )
            | ( qmltpeq @ ( successor @ SV51 ) @ ( successor @ SY69 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[228]) ).

thf(314,plain,
    ! [SV52: $i] :
      ( ( ~ ( eiw_di @ SV52 @ mactual )
        | ~ ( member @ SV52 @ null_class @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[229]) ).

thf(315,plain,
    ! [SV53: $i] :
      ( ( ~ ( eiw_di @ SV53 @ mactual )
        | ! [SY70: $i] :
            ( ~ ( eiw_di @ SY70 @ mactual )
            | ! [SY71: $i] :
                ( ~ ( eiw_di @ SY71 @ mactual )
                | ~ ~ ( ~ ( qmltpeq @ SV53 @ SY70 @ mactual )
                      | ~ ( disjoint @ SY71 @ SV53 @ mactual ) )
                | ( disjoint @ SY71 @ SY70 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[230]) ).

thf(316,plain,
    ! [SV54: $i] :
      ( ( ~ ( eiw_di @ SV54 @ mactual )
        | ~ ( ~ ( ~ ( function @ SV54 @ mactual )
                | ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                    | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
            | ~ ( ~ ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                      | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
                | ( function @ SV54 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[231]) ).

thf(317,plain,
    ! [SV55: $i] :
      ( ( ~ ( eiw_di @ SV55 @ mactual )
        | ! [SY72: $i] :
            ( ~ ( eiw_di @ SY72 @ mactual )
            | ~ ( ~ ( ~ ( disjoint @ SV55 @ SY72 @ mactual )
                    | ! [SY73: $i] :
                        ( ~ ( eiw_di @ SY73 @ mactual )
                        | ~ ~ ( ~ ( member @ SY73 @ SV55 @ mactual )
                              | ~ ( member @ SY73 @ SY72 @ mactual ) ) ) )
                | ~ ( ~ ! [SY74: $i] :
                          ( ~ ( eiw_di @ SY74 @ mactual )
                          | ~ ~ ( ~ ( member @ SY74 @ SV55 @ mactual )
                                | ~ ( member @ SY74 @ SY72 @ mactual ) ) )
                    | ( disjoint @ SV55 @ SY72 @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[232]) ).

thf(318,plain,
    ! [SV56: $i] :
      ( ( ~ ( eiw_di @ SV56 @ mactual )
        | ! [SY75: $i] :
            ( ~ ( eiw_di @ SY75 @ mactual )
            | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV56 @ SY75 ) @ successor_relation @ mactual )
                    | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                        | ~ ~ ( ~ ( member @ SY75 @ universal_class @ mactual )
                              | ~ ( qmltpeq @ ( successor @ SV56 ) @ SY75 @ mactual ) ) ) )
                | ~ ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SY75 @ universal_class @ mactual )
                                | ~ ( qmltpeq @ ( successor @ SV56 ) @ SY75 @ mactual ) ) )
                    | ( member @ ( ordered_pair @ SV56 @ SY75 ) @ successor_relation @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[233]) ).

thf(319,plain,
    ! [SV57: $i] :
      ( ( ~ ( eiw_di @ SV57 @ mactual )
        | ! [SY76: $i] :
            ( ~ ( eiw_di @ SY76 @ mactual )
            | ! [SY77: $i] :
                ( ~ ( eiw_di @ SY77 @ mactual )
                | ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SY76 @ SY77 ) @ mactual )
                        | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                            | ~ ( ( qmltpeq @ SV57 @ SY76 @ mactual )
                                | ( qmltpeq @ SV57 @ SY77 @ mactual ) ) ) )
                    | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                              | ~ ( ( qmltpeq @ SV57 @ SY76 @ mactual )
                                  | ( qmltpeq @ SV57 @ SY77 @ mactual ) ) )
                        | ( member @ SV57 @ ( unordered_pair @ SY76 @ SY77 ) @ mactual ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(320,plain,
    ! [SV58: $i] :
      ( ( ~ ( eiw_di @ SV58 @ mactual )
        | ! [SY78: $i] :
            ( ~ ( eiw_di @ SY78 @ mactual )
            | ! [SY79: $i] :
                ( ~ ( eiw_di @ SY79 @ mactual )
                | ~ ( member @ SY79 @ ( cross_product @ SV58 @ SY78 ) @ mactual )
                | ( qmltpeq @ SY79 @ ( ordered_pair @ ( first @ SY79 ) @ ( second @ SY79 ) ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(321,plain,
    ! [SV59: $i] :
      ( ( ~ ( eiw_di @ SV59 @ mactual )
        | ~ ( ~ ( ~ ( inductive @ SV59 @ mactual )
                | ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                    | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
            | ~ ( ~ ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                      | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
                | ( inductive @ SV59 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(322,plain,
    ! [SV60: $i] :
      ( ( ~ ( eiw_di @ SV60 @ mactual )
        | ! [SY80: $i] :
            ( ~ ( eiw_di @ SY80 @ mactual )
            | ! [SY81: $i] :
                ( ~ ( eiw_di @ SY81 @ mactual )
                | ! [SY82: $i] :
                    ( ~ ( eiw_di @ SY82 @ mactual )
                    | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( rotate @ SV60 ) @ mactual )
                            | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY81 @ SY82 ) @ SY80 ) @ SV60 @ mactual ) ) )
                        | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY81 @ SY82 ) @ SY80 ) @ SV60 @ mactual ) )
                            | ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(323,plain,
    ! [SV61: $i] :
      ( ( ~ ( eiw_di @ SV61 @ mactual )
        | ! [SY83: $i] :
            ( ~ ( eiw_di @ SY83 @ mactual )
            | ~ ( qmltpeq @ SV61 @ SY83 @ mactual )
            | ( qmltpeq @ ( rotate @ SV61 ) @ ( rotate @ SY83 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(324,plain,
    ! [SV62: $i] :
      ( ( ~ ( eiw_di @ SV62 @ mactual )
        | ~ ~ ( qmltpeq @ SV62 @ null_class @ mactual )
        | ~ ! [SY84: $i] :
              ~ ~ ( ~ ( eiw_di @ SY84 @ mactual )
                  | ~ ~ ( ~ ( member @ SY84 @ universal_class @ mactual )
                        | ~ ~ ( ~ ( member @ SY84 @ SV62 @ mactual )
                              | ~ ( disjoint @ SY84 @ SV62 @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(325,plain,
    ! [SV63: $i] :
      ( ( ~ ( eiw_di @ SV63 @ mactual )
        | ! [SY85: $i] :
            ( ~ ( eiw_di @ SY85 @ mactual )
            | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV63 @ SY85 ) @ element_relation @ mactual )
                    | ~ ( ~ ( member @ SY85 @ universal_class @ mactual )
                        | ~ ( member @ SV63 @ SY85 @ mactual ) ) )
                | ~ ( ~ ~ ( ~ ( member @ SY85 @ universal_class @ mactual )
                          | ~ ( member @ SV63 @ SY85 @ mactual ) )
                    | ( member @ ( ordered_pair @ SV63 @ SY85 ) @ element_relation @ mactual ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(326,plain,
    ! [SV64: $i] :
      ( ( ~ ( eiw_di @ SV64 @ mactual )
        | ! [SY86: $i] :
            ( ~ ( eiw_di @ SY86 @ mactual )
            | ! [SY87: $i] :
                ( ~ ( eiw_di @ SY87 @ mactual )
                | ~ ( qmltpeq @ SV64 @ SY86 @ mactual )
                | ( qmltpeq @ ( unordered_pair @ SY87 @ SV64 ) @ ( unordered_pair @ SY87 @ SY86 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(327,plain,
    ! [SV65: $i] :
      ( ( ~ ( eiw_di @ SV65 @ mactual )
        | ( subclass @ SV65 @ universal_class @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(328,plain,
    ! [SV66: $i] :
      ( ( ~ ( eiw_di @ SV66 @ mactual )
        | ! [SY88: $i] :
            ( ~ ( eiw_di @ SY88 @ mactual )
            | ! [SY89: $i] :
                ( ~ ( eiw_di @ SY89 @ mactual )
                | ~ ( qmltpeq @ SV66 @ SY88 @ mactual )
                | ( qmltpeq @ ( image @ SV66 @ SY89 ) @ ( image @ SY88 @ SY89 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(329,plain,
    ! [SV67: $i] :
      ( ( ~ ( eiw_di @ SV67 @ mactual )
        | ! [SY90: $i] :
            ( ~ ( eiw_di @ SY90 @ mactual )
            | ! [SY91: $i] :
                ( ~ ( eiw_di @ SY91 @ mactual )
                | ~ ( qmltpeq @ SV67 @ SY90 @ mactual )
                | ( qmltpeq @ ( cross_product @ SV67 @ SY91 ) @ ( cross_product @ SY90 @ SY91 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(330,plain,
    ! [SV68: $i] :
      ( ( ~ ( eiw_di @ SV68 @ mactual )
        | ! [SY92: $i] :
            ( ~ ( eiw_di @ SY92 @ mactual )
            | ! [SY93: $i] :
                ( ~ ( eiw_di @ SY93 @ mactual )
                | ~ ( qmltpeq @ SV68 @ SY92 @ mactual )
                | ( qmltpeq @ ( union @ SV68 @ SY93 ) @ ( union @ SY92 @ SY93 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(331,plain,
    ! [SV69: $i] :
      ( ( ~ ( eiw_di @ SV69 @ mactual )
        | ! [SY94: $i] :
            ( ~ ( eiw_di @ SY94 @ mactual )
            | ! [SY95: $i] :
                ( ~ ( eiw_di @ SY95 @ mactual )
                | ~ ~ ( ~ ( qmltpeq @ SV69 @ SY94 @ mactual )
                      | ~ ( member @ SY95 @ SV69 @ mactual ) )
                | ( member @ SY95 @ SY94 @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(332,plain,
    ! [SV70: $i] :
      ( ( ~ ( eiw_di @ SV70 @ mactual )
        | ( qmltpeq @ ( range_of @ SV70 ) @ ( domain_of @ ( inverse @ SV70 ) ) @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(333,plain,
    ! [SV71: $i] :
      ( ( ~ ( eiw_di @ SV71 @ mactual )
        | ! [SY96: $i] :
            ( ~ ( eiw_di @ SY96 @ mactual )
            | ( qmltpeq @ ( ordered_pair @ SV71 @ SY96 ) @ ( unordered_pair @ ( singleton @ SV71 ) @ ( unordered_pair @ SV71 @ ( singleton @ SY96 ) ) ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(334,plain,
    ! [SV72: $i] :
      ( ( ~ ( eiw_di @ SV72 @ mactual )
        | ! [SY97: $i] :
            ( ~ ( eiw_di @ SY97 @ mactual )
            | ! [SY98: $i] :
                ( ~ ( eiw_di @ SY98 @ mactual )
                | ~ ( qmltpeq @ SV72 @ SY97 @ mactual )
                | ( qmltpeq @ ( unordered_pair @ SV72 @ SY98 ) @ ( unordered_pair @ SY97 @ SY98 ) @ mactual ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(335,plain,
    ! [SV73: $i] :
      ( ( ~ ( eiw_di @ SV73 @ mactual )
        | ! [SY99: $i] :
            ( ~ ( eiw_di @ SY99 @ mactual )
            | ( qmltpeq @ ( image @ SY99 @ SV73 ) @ ( range_of @ ( restrict @ SY99 @ SV73 @ universal_class ) ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(336,plain,
    ! [SV74: $i] :
      ( ( ~ ( eiw_di @ SV74 @ mactual )
        | ! [SY100: $i] :
            ( ~ ( eiw_di @ SY100 @ mactual )
            | ! [SY101: $i] :
                ( ~ ( eiw_di @ SY101 @ mactual )
                | ! [SY102: $i] :
                    ( ~ ( eiw_di @ SY102 @ mactual )
                    | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( flip @ SY102 ) @ mactual )
                            | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY100 @ SV74 ) @ SY101 ) @ SY102 @ mactual ) ) )
                        | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY100 @ SV74 ) @ SY101 ) @ SY102 @ mactual ) )
                            | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( flip @ SY102 ) @ mactual ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(337,plain,
    ! [SV75: $i] :
      ( ( ~ ( eiw_di @ SV75 @ mactual )
        | ! [SY103: $i] :
            ( ~ ( eiw_di @ SY103 @ mactual )
            | ! [SY104: $i] :
                ( ~ ( eiw_di @ SY104 @ mactual )
                | ! [SY105: $i] :
                    ( ~ ( eiw_di @ SY105 @ mactual )
                    | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SY104 @ SY105 ) @ ( compose @ SY103 @ SV75 ) @ mactual )
                            | ~ ( ~ ( member @ SY104 @ universal_class @ mactual )
                                | ~ ( member @ SY105 @ ( image @ SY103 @ ( image @ SY103 @ ( singleton @ SY104 ) ) ) @ mactual ) ) )
                        | ~ ( ~ ~ ( ~ ( member @ SY104 @ universal_class @ mactual )
                                  | ~ ( member @ SY105 @ ( image @ SY103 @ ( image @ SY103 @ ( singleton @ SY104 ) ) ) @ mactual ) )
                            | ( member @ ( ordered_pair @ SY104 @ SY105 ) @ ( compose @ SY103 @ SV75 ) @ mactual ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(338,plain,
    ! [SV76: $i] :
      ( ( ~ ( eiw_di @ SV76 @ mactual )
        | ! [SY106: $i] :
            ( ~ ( eiw_di @ SY106 @ mactual )
            | ! [SY107: $i] :
                ( ~ ( eiw_di @ SY107 @ mactual )
                | ! [SY108: $i] :
                    ( ~ ( eiw_di @ SY108 @ mactual )
                    | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SY106 ) @ ( cross_product @ SY107 @ SY108 ) @ mactual )
                            | ~ ( ~ ( member @ SV76 @ SY107 @ mactual )
                                | ~ ( member @ SY106 @ SY108 @ mactual ) ) )
                        | ~ ( ~ ~ ( ~ ( member @ SV76 @ SY107 @ mactual )
                                  | ~ ( member @ SY106 @ SY108 @ mactual ) )
                            | ( member @ ( ordered_pair @ SV76 @ SY106 ) @ ( cross_product @ SY107 @ SY108 ) @ mactual ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(339,plain,
    ! [SV77: $i] :
      ( ( ~ ( eiw_di @ SV77 @ mactual )
        | ! [SY109: $i] :
            ( ~ ( eiw_di @ SY109 @ mactual )
            | ~ ( qmltpeq @ SV77 @ SY109 @ mactual )
            | ( qmltpeq @ ( sum_class @ SV77 ) @ ( sum_class @ SY109 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(340,plain,
    ! [SV78: $i] :
      ( ( ~ ( eiw_di @ SV78 @ mactual )
        | ! [SY110: $i] :
            ( ~ ( eiw_di @ SY110 @ mactual )
            | ! [SY111: $i] :
                ( ~ ( eiw_di @ SY111 @ mactual )
                | ~ ( ~ ( ~ ( member @ SY111 @ ( intersection @ SV78 @ SY110 ) @ mactual )
                        | ~ ( ~ ( member @ SY111 @ SV78 @ mactual )
                            | ~ ( member @ SY111 @ SY110 @ mactual ) ) )
                    | ~ ( ~ ~ ( ~ ( member @ SY111 @ SV78 @ mactual )
                              | ~ ( member @ SY111 @ SY110 @ mactual ) )
                        | ( member @ SY111 @ ( intersection @ SV78 @ SY110 ) @ mactual ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(341,plain,
    ! [SV79: $i] :
      ( ( ~ ( eiw_di @ SV79 @ mactual )
        | ! [SY112: $i] :
            ( ~ ( eiw_di @ SY112 @ mactual )
            | ~ ( qmltpeq @ SV79 @ SY112 @ mactual )
            | ( qmltpeq @ ( domain_of @ SV79 ) @ ( domain_of @ SY112 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(342,plain,
    ! [SV80: $i] :
      ( ( ~ ( eiw_di @ SV80 @ mactual )
        | ! [SY113: $i] :
            ( ~ ( eiw_di @ SY113 @ mactual )
            | ~ ( qmltpeq @ SV80 @ SY113 @ mactual )
            | ( qmltpeq @ ( first @ SV80 ) @ ( first @ SY113 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(343,plain,
    ! [SV81: $i] :
      ( ( ~ ( eiw_di @ SV81 @ mactual )
        | ! [SY114: $i] :
            ( ~ ( eiw_di @ SY114 @ mactual )
            | ~ ( qmltpeq @ SV81 @ SY114 @ mactual )
            | ( qmltpeq @ ( flip @ SV81 ) @ ( flip @ SY114 ) @ mactual ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(344,plain,
    ! [SV82: mworld,SV1: mworld] :
      ( ( mrel @ SV1 @ SV82 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(345,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( eiw_di @ SV3 @ mactual ) )
        = $true )
      | ( ( ! [SY1: $i] :
              ( ~ ( eiw_di @ SY1 @ mactual )
              | ! [SY2: $i] :
                  ( ~ ( eiw_di @ SY2 @ mactual )
                  | ! [SY3: $i] :
                      ( ~ ( eiw_di @ SY3 @ mactual )
                      | ~ ( qmltpeq @ SV3 @ SY1 @ mactual )
                      | ( qmltpeq @ ( restrict @ SY2 @ SV3 @ SY3 ) @ ( restrict @ SY2 @ SY1 @ SY3 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[262]) ).

thf(346,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( eiw_di @ SV4 @ mactual ) )
        = $true )
      | ( ( ! [SY4: $i] :
              ( ~ ( eiw_di @ SY4 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY4 @ ( domain_of @ SV4 ) @ mactual )
                      | ~ ( ~ ( member @ SY4 @ universal_class @ mactual )
                          | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SY4 ) @ universal_class ) @ null_class @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY4 @ universal_class @ mactual )
                            | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SY4 ) @ universal_class ) @ null_class @ mactual ) )
                      | ( member @ SY4 @ ( domain_of @ SV4 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[263]) ).

thf(347,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( eiw_di @ SV5 @ mactual ) )
        = $true )
      | ( ( ! [SY5: $i] :
              ( ~ ( eiw_di @ SY5 @ mactual )
              | ! [SY6: $i] :
                  ( ~ ( eiw_di @ SY6 @ mactual )
                  | ~ ( qmltpeq @ SV5 @ SY5 @ mactual )
                  | ( qmltpeq @ ( apply @ SV5 @ SY6 ) @ ( apply @ SY5 @ SY6 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[264]) ).

thf(348,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( eiw_di @ SV6 @ mactual ) )
        = $true )
      | ( ( ! [SY7: $i] :
              ( ~ ( eiw_di @ SY7 @ mactual )
              | ! [SY8: $i] :
                  ( ~ ( eiw_di @ SY8 @ mactual )
                  | ! [SY9: $i] :
                      ( ~ ( eiw_di @ SY9 @ mactual )
                      | ~ ( qmltpeq @ SV6 @ SY7 @ mactual )
                      | ( qmltpeq @ ( restrict @ SV6 @ SY8 @ SY9 ) @ ( restrict @ SY7 @ SY8 @ SY9 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[265]) ).

thf(349,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( eiw_di @ SV7 @ mactual ) )
        = $true )
      | ( ( ! [SY10: $i] :
              ( ~ ( eiw_di @ SY10 @ mactual )
              | ! [SY11: $i] :
                  ( ~ ( eiw_di @ SY11 @ mactual )
                  | ~ ( qmltpeq @ SV7 @ SY10 @ mactual )
                  | ( qmltpeq @ ( compose @ SY11 @ SV7 ) @ ( compose @ SY11 @ SY10 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(350,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( eiw_di @ SV8 @ mactual ) )
        = $true )
      | ( ( ! [SY12: $i] :
              ( ~ ( eiw_di @ SY12 @ mactual )
              | ~ ( ~ ( ~ ( member @ SV8 @ ( sum_class @ SY12 ) @ mactual )
                      | ~ ! [SY13: $i] :
                            ~ ~ ( ~ ( eiw_di @ SY13 @ mactual )
                                | ~ ~ ( ~ ( member @ SV8 @ SY13 @ mactual )
                                      | ~ ( member @ SY13 @ SY12 @ mactual ) ) ) )
                  | ~ ( ~ ~ ! [SY14: $i] :
                              ~ ~ ( ~ ( eiw_di @ SY14 @ mactual )
                                  | ~ ~ ( ~ ( member @ SV8 @ SY14 @ mactual )
                                        | ~ ( member @ SY14 @ SY12 @ mactual ) ) )
                      | ( member @ SV8 @ ( sum_class @ SY12 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[267]) ).

thf(351,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( eiw_di @ SV9 @ mactual ) )
        = $true )
      | ( ( ! [SY15: $i] :
              ( ~ ( eiw_di @ SY15 @ mactual )
              | ~ ( qmltpeq @ SV9 @ SY15 @ mactual )
              | ( qmltpeq @ ( complement @ SV9 ) @ ( complement @ SY15 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[268]) ).

thf(352,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( eiw_di @ SV10 @ mactual ) )
        = $true )
      | ( ( ! [SY16: $i] :
              ( ~ ( eiw_di @ SY16 @ mactual )
              | ( qmltpeq @ ( apply @ SV10 @ SY16 ) @ ( sum_class @ ( image @ SV10 @ ( singleton @ SY16 ) ) ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[269]) ).

thf(353,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( eiw_di @ SV11 @ mactual ) )
        = $true )
      | ( ( ! [SY17: $i] :
              ( ~ ( eiw_di @ SY17 @ mactual )
              | ! [SY18: $i] :
                  ( ~ ( eiw_di @ SY18 @ mactual )
                  | ( qmltpeq @ ( restrict @ SY17 @ SV11 @ SY18 ) @ ( intersection @ SY17 @ ( cross_product @ SV11 @ SY18 ) ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[270]) ).

thf(354,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( eiw_di @ SV12 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( singleton @ SV12 ) @ ( unordered_pair @ SV12 @ SV12 ) @ mactual )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[271]) ).

thf(355,plain,
    ! [SV13: $i] :
      ( ( ( ~ ( eiw_di @ SV13 @ mactual ) )
        = $true )
      | ( ( ! [SY19: $i] :
              ( ~ ( eiw_di @ SY19 @ mactual )
              | ! [SY20: $i] :
                  ( ~ ( eiw_di @ SY20 @ mactual )
                  | ~ ( qmltpeq @ SV13 @ SY19 @ mactual )
                  | ( qmltpeq @ ( union @ SY20 @ SV13 ) @ ( union @ SY20 @ SY19 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[272]) ).

thf(356,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( eiw_di @ SV14 @ mactual ) )
        = $true )
      | ( ( ! [SY21: $i] :
              ( ~ ( eiw_di @ SY21 @ mactual )
              | ~ ( qmltpeq @ SV14 @ SY21 @ mactual )
              | ( qmltpeq @ ( power_class @ SV14 ) @ ( power_class @ SY21 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[273]) ).

thf(357,plain,
    ! [SV15: $i] :
      ( ( ( ~ ( eiw_di @ SV15 @ mactual ) )
        = $true )
      | ( ( ! [SY22: $i] :
              ( ~ ( eiw_di @ SY22 @ mactual )
              | ~ ~ ( ~ ( member @ SV15 @ universal_class @ mactual )
                    | ~ ( function @ SY22 @ mactual ) )
              | ( member @ ( image @ SY22 @ SV15 ) @ universal_class @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[274]) ).

thf(358,plain,
    ! [SV16: $i] :
      ( ( ( ~ ( eiw_di @ SV16 @ mactual ) )
        = $true )
      | ( ( ! [SY23: $i] :
              ( ~ ( eiw_di @ SY23 @ mactual )
              | ( member @ ( unordered_pair @ SV16 @ SY23 ) @ universal_class @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[275]) ).

thf(359,plain,
    ! [SV17: $i] :
      ( ( ( ~ ( eiw_di @ SV17 @ mactual ) )
        = $true )
      | ( ( ! [SY24: $i] :
              ( ~ ( eiw_di @ SY24 @ mactual )
              | ~ ( qmltpeq @ SV17 @ SY24 @ mactual )
              | ( qmltpeq @ ( range_of @ SV17 ) @ ( range_of @ SY24 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[276]) ).

thf(360,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( eiw_di @ SV18 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( inverse @ SV18 ) @ ( domain_of @ ( flip @ ( cross_product @ SV18 @ universal_class ) ) ) @ mactual )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[277]) ).

thf(361,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( eiw_di @ SV19 @ mactual ) )
        = $true )
      | ( ( subclass @ ( rotate @ SV19 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[278]) ).

thf(362,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( eiw_di @ SV20 @ mactual ) )
        = $true )
      | ( ( ! [SY25: $i] :
              ( ~ ( eiw_di @ SY25 @ mactual )
              | ! [SY26: $i] :
                  ( ~ ( eiw_di @ SY26 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SY26 @ ( union @ SV20 @ SY25 ) @ mactual )
                          | ( member @ SY26 @ SV20 @ mactual )
                          | ( member @ SY26 @ SY25 @ mactual ) )
                      | ~ ( ~ ( ( member @ SY26 @ SV20 @ mactual )
                              | ( member @ SY26 @ SY25 @ mactual ) )
                          | ( member @ SY26 @ ( union @ SV20 @ SY25 ) @ mactual ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[279]) ).

thf(363,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( eiw_di @ SV21 @ mactual ) )
        = $true )
      | ( ( ! [SY27: $i] :
              ( ~ ( eiw_di @ SY27 @ mactual )
              | ! [SY28: $i] :
                  ( ~ ( eiw_di @ SY28 @ mactual )
                  | ! [SY29: $i] :
                      ( ~ ( eiw_di @ SY29 @ mactual )
                      | ~ ( qmltpeq @ SV21 @ SY27 @ mactual )
                      | ( qmltpeq @ ( restrict @ SY28 @ SY29 @ SV21 ) @ ( restrict @ SY28 @ SY29 @ SY27 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[280]) ).

thf(364,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( eiw_di @ SV22 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( successor @ SV22 ) @ ( union @ SV22 @ ( singleton @ SV22 ) ) @ mactual )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[281]) ).

thf(365,plain,
    ! [SV23: $i] :
      ( ( ( ~ ( eiw_di @ SV23 @ mactual ) )
        = $true )
      | ( ( ! [SY30: $i] :
              ( ~ ( eiw_di @ SY30 @ mactual )
              | ~ ( ~ ( ~ ( member @ SV23 @ ( power_class @ SY30 ) @ mactual )
                      | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                          | ~ ( subclass @ SV23 @ SY30 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                            | ~ ( subclass @ SV23 @ SY30 @ mactual ) )
                      | ( member @ SV23 @ ( power_class @ SY30 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[282]) ).

thf(366,plain,
    ! [SV24: $i] :
      ( ( ( ~ ( eiw_di @ SV24 @ mactual ) )
        = $true )
      | ( ( ! [SY31: $i] :
              ( ~ ( eiw_di @ SY31 @ mactual )
              | ! [SY32: $i] :
                  ( ~ ( eiw_di @ SY32 @ mactual )
                  | ~ ( qmltpeq @ SV24 @ SY31 @ mactual )
                  | ( qmltpeq @ ( ordered_pair @ SV24 @ SY32 ) @ ( ordered_pair @ SY31 @ SY32 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[283]) ).

thf(367,plain,
    ! [SV25: $i] :
      ( ( ( ~ ( eiw_di @ SV25 @ mactual ) )
        = $true )
      | ( ( ! [SY33: $i] :
              ( ~ ( eiw_di @ SY33 @ mactual )
              | ! [SY34: $i] :
                  ( ~ ( eiw_di @ SY34 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV25 @ SY33 @ mactual )
                        | ~ ( subclass @ SV25 @ SY34 @ mactual ) )
                  | ( subclass @ SY33 @ SY34 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[284]) ).

thf(368,plain,
    ! [SV26: $i] :
      ( ( ( ~ ( eiw_di @ SV26 @ mactual ) )
        = $true )
      | ( ( ! [SY35: $i] :
              ( ~ ( eiw_di @ SY35 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY35 @ ( complement @ SV26 ) @ mactual )
                      | ~ ( ~ ( member @ SY35 @ universal_class @ mactual )
                          | ~ ~ ( member @ SY35 @ SV26 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY35 @ universal_class @ mactual )
                            | ~ ~ ( member @ SY35 @ SV26 @ mactual ) )
                      | ( member @ SY35 @ ( complement @ SV26 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[285]) ).

thf(369,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( eiw_di @ SV27 @ mactual ) )
        = $true )
      | ( ( ! [SY36: $i] :
              ( ~ ( eiw_di @ SY36 @ mactual )
              | ! [SY37: $i] :
                  ( ~ ( eiw_di @ SY37 @ mactual )
                  | ~ ( qmltpeq @ SV27 @ SY36 @ mactual )
                  | ( qmltpeq @ ( intersection @ SV27 @ SY37 ) @ ( intersection @ SY36 @ SY37 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[286]) ).

thf(370,plain,
    ! [SV28: $i] :
      ( ( ( ~ ( eiw_di @ SV28 @ mactual ) )
        = $true )
      | ( ( ! [SY38: $i] :
              ( ~ ( eiw_di @ SY38 @ mactual )
              | ! [SY39: $i] :
                  ( ~ ( eiw_di @ SY39 @ mactual )
                  | ~ ( qmltpeq @ SV28 @ SY38 @ mactual )
                  | ( qmltpeq @ ( compose @ SV28 @ SY39 ) @ ( compose @ SY38 @ SY39 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[287]) ).

thf(371,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( eiw_di @ SV29 @ mactual ) )
        = $true )
      | ( ( ! [SY40: $i] :
              ( ~ ( eiw_di @ SY40 @ mactual )
              | ( subclass @ ( compose @ SY40 @ SV29 ) @ ( cross_product @ universal_class @ universal_class ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(372,plain,
    ! [SV30: $i] :
      ( ( ( ~ ( eiw_di @ SV30 @ mactual ) )
        = $true )
      | ( ( ! [SY41: $i] :
              ( ~ ( eiw_di @ SY41 @ mactual )
              | ~ ( qmltpeq @ SV30 @ SY41 @ mactual )
              | ( qmltpeq @ ( inverse @ SV30 ) @ ( inverse @ SY41 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[289]) ).

thf(373,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( eiw_di @ SV31 @ mactual ) )
        = $true )
      | ( ( ! [SY42: $i] :
              ( ~ ( eiw_di @ SY42 @ mactual )
              | ! [SY43: $i] :
                  ( ~ ( eiw_di @ SY43 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV31 @ SY42 @ mactual )
                        | ~ ( qmltpeq @ SY42 @ SY43 @ mactual ) )
                  | ( qmltpeq @ SV31 @ SY43 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[290]) ).

thf(374,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( eiw_di @ SV32 @ mactual ) )
        = $true )
      | ( ( ! [SY44: $i] :
              ( ~ ( eiw_di @ SY44 @ mactual )
              | ~ ( ~ ( ~ ( subclass @ SV32 @ SY44 @ mactual )
                      | ! [SY45: $i] :
                          ( ~ ( eiw_di @ SY45 @ mactual )
                          | ~ ( member @ SY45 @ SV32 @ mactual )
                          | ( member @ SY45 @ SY44 @ mactual ) ) )
                  | ~ ( ~ ! [SY46: $i] :
                            ( ~ ( eiw_di @ SY46 @ mactual )
                            | ~ ( member @ SY46 @ SV32 @ mactual )
                            | ( member @ SY46 @ SY44 @ mactual ) )
                      | ( subclass @ SV32 @ SY44 @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[291]) ).

thf(375,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( eiw_di @ SV33 @ mactual ) )
        = $true )
      | ( ( ! [SY47: $i] :
              ( ~ ( eiw_di @ SY47 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV33 @ SY47 @ mactual )
                    | ~ ( function @ SV33 @ mactual ) )
              | ( function @ SY47 @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(376,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( eiw_di @ SV34 @ mactual ) )
        = $true )
      | ( ( ! [SY48: $i] :
              ( ~ ( eiw_di @ SY48 @ mactual )
              | ~ ( qmltpeq @ SV34 @ SY48 @ mactual )
              | ( qmltpeq @ ( second @ SV34 ) @ ( second @ SY48 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[293]) ).

thf(377,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( eiw_di @ SV35 @ mactual ) )
        = $true )
      | ( ( ! [SY49: $i] :
              ( ~ ( eiw_di @ SY49 @ mactual )
              | ! [SY50: $i] :
                  ( ~ ( eiw_di @ SY50 @ mactual )
                  | ~ ( qmltpeq @ SV35 @ SY49 @ mactual )
                  | ( qmltpeq @ ( apply @ SY50 @ SV35 ) @ ( apply @ SY50 @ SY49 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[294]) ).

thf(378,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( eiw_di @ SV36 @ mactual ) )
        = $true )
      | ( ( ! [SY51: $i] :
              ( ~ ( eiw_di @ SY51 @ mactual )
              | ! [SY52: $i] :
                  ( ~ ( eiw_di @ SY52 @ mactual )
                  | ~ ( qmltpeq @ SV36 @ SY51 @ mactual )
                  | ( qmltpeq @ ( cross_product @ SY52 @ SV36 ) @ ( cross_product @ SY52 @ SY51 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[295]) ).

thf(379,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( eiw_di @ SV37 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV37 @ universal_class @ mactual )
          | ( member @ ( sum_class @ SV37 ) @ universal_class @ mactual ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(380,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( eiw_di @ SV38 @ mactual ) )
        = $true )
      | ( ( ! [SY53: $i] :
              ( ~ ( eiw_di @ SY53 @ mactual )
              | ! [SY54: $i] :
                  ( ~ ( eiw_di @ SY54 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV38 @ SY53 @ mactual )
                        | ~ ( subclass @ SY54 @ SV38 @ mactual ) )
                  | ( subclass @ SY54 @ SY53 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[297]) ).

thf(381,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( eiw_di @ SV39 @ mactual ) )
        = $true )
      | ( ( ! [SY55: $i] :
              ( ~ ( eiw_di @ SY55 @ mactual )
              | ! [SY56: $i] :
                  ( ~ ( eiw_di @ SY56 @ mactual )
                  | ~ ( qmltpeq @ SV39 @ SY55 @ mactual )
                  | ( qmltpeq @ ( ordered_pair @ SY56 @ SV39 ) @ ( ordered_pair @ SY56 @ SY55 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[298]) ).

thf(382,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( eiw_di @ SV40 @ mactual ) )
        = $true )
      | ( ( ! [SY57: $i] :
              ( ~ ( eiw_di @ SY57 @ mactual )
              | ! [SY58: $i] :
                  ( ~ ( eiw_di @ SY58 @ mactual )
                  | ~ ( qmltpeq @ SV40 @ SY57 @ mactual )
                  | ( qmltpeq @ ( image @ SY58 @ SV40 ) @ ( image @ SY58 @ SY57 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[299]) ).

thf(383,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( eiw_di @ SV41 @ mactual ) )
        = $true )
      | ( ( ! [SY59: $i] :
              ( ~ ( eiw_di @ SY59 @ mactual )
              | ! [SY60: $i] :
                  ( ~ ( eiw_di @ SY60 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV41 @ SY59 @ mactual )
                        | ~ ( member @ SV41 @ SY60 @ mactual ) )
                  | ( member @ SY59 @ SY60 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[300]) ).

thf(384,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( eiw_di @ SV42 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV42 @ universal_class @ mactual )
          | ( member @ ( power_class @ SV42 ) @ universal_class @ mactual ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[301]) ).

thf(385,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( eiw_di @ SV43 @ mactual ) )
        = $true )
      | ( ( ! [SY61: $i] :
              ( ~ ( eiw_di @ SY61 @ mactual )
              | ! [SY62: $i] :
                  ( ~ ( eiw_di @ SY62 @ mactual )
                  | ~ ( qmltpeq @ SV43 @ SY61 @ mactual )
                  | ( qmltpeq @ ( intersection @ SY62 @ SV43 ) @ ( intersection @ SY62 @ SY61 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[302]) ).

thf(386,plain,
    ! [SV44: $i] :
      ( ( ( ~ ( eiw_di @ SV44 @ mactual ) )
        = $true )
      | ( ( ! [SY63: $i] :
              ( ~ ( eiw_di @ SY63 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV44 @ SY63 @ mactual )
                    | ~ ( inductive @ SV44 @ mactual ) )
              | ( inductive @ SY63 @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[303]) ).

thf(387,plain,
    ! [SV45: $i] :
      ( ( ( ~ ( eiw_di @ SV45 @ mactual ) )
        = $true )
      | ( ( ! [SY64: $i] :
              ( ~ ( eiw_di @ SY64 @ mactual )
              | ! [SY65: $i] :
                  ( ~ ( eiw_di @ SY65 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV45 @ SY64 @ mactual )
                        | ~ ( disjoint @ SV45 @ SY65 @ mactual ) )
                  | ( disjoint @ SY64 @ SY65 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[304]) ).

thf(388,plain,
    ( ( ~ ~ ( ~ ( eiw_di @ sK2_SX0 @ mactual )
            | ~ ~ ( ~ ( function @ sK2_SX0 @ mactual )
                  | ~ ! [SY115: $i] :
                        ( ~ ( eiw_di @ SY115 @ mactual )
                        | ~ ( member @ SY115 @ universal_class @ mactual )
                        | ( qmltpeq @ SY115 @ null_class @ mactual )
                        | ( member @ ( apply @ sK2_SX0 @ SY115 ) @ SY115 @ mactual ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[305]) ).

thf(389,plain,
    ! [SV46: $i] :
      ( ( ( ~ ( eiw_di @ SV46 @ mactual ) )
        = $true )
      | ( ( subclass @ ( flip @ SV46 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[306]) ).

thf(390,plain,
    ! [SV47: $i] :
      ( ( ( ~ ( eiw_di @ SV47 @ mactual ) )
        = $true )
      | ( ( ! [SY66: $i] :
              ( ~ ( eiw_di @ SY66 @ mactual )
              | ~ ( ~ ( ~ ( qmltpeq @ SV47 @ SY66 @ mactual )
                      | ~ ( ~ ( subclass @ SV47 @ SY66 @ mactual )
                          | ~ ( subclass @ SY66 @ SV47 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( subclass @ SV47 @ SY66 @ mactual )
                            | ~ ( subclass @ SY66 @ SV47 @ mactual ) )
                      | ( qmltpeq @ SV47 @ SY66 @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[307]) ).

thf(391,plain,
    ! [SV48: $i] :
      ( ( ( ~ ( eiw_di @ SV48 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV48 @ SV48 @ mactual )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[308]) ).

thf(392,plain,
    ! [SV49: $i] :
      ( ( ( ~ ( eiw_di @ SV49 @ mactual ) )
        = $true )
      | ( ( ! [SY67: $i] :
              ( ~ ( eiw_di @ SY67 @ mactual )
              | ~ ( qmltpeq @ SV49 @ SY67 @ mactual )
              | ( qmltpeq @ ( singleton @ SV49 ) @ ( singleton @ SY67 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[309]) ).

thf(393,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( eiw_di @ SV50 @ mactual ) )
        = $true )
      | ( ( ! [SY68: $i] :
              ( ~ ( eiw_di @ SY68 @ mactual )
              | ~ ( qmltpeq @ SV50 @ SY68 @ mactual )
              | ( qmltpeq @ SY68 @ SV50 @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[310]) ).

thf(394,plain,
    ( ( ~ ( eiw_di @ sK3_SX0 @ mactual )
      | ( qmltpeq @ sK3_SX0 @ sK3_SX0 @ mactual ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[311]) ).

thf(395,plain,
    ( ( ~ ~ ( ~ ( eiw_di @ sK4_SX0 @ mactual )
            | ~ ~ ( ~ ( member @ sK4_SX0 @ universal_class @ mactual )
                  | ~ ~ ( ~ ( inductive @ sK4_SX0 @ mactual )
                        | ~ ! [SY116: $i] :
                              ( ~ ( eiw_di @ SY116 @ mactual )
                              | ~ ( inductive @ SY116 @ mactual )
                              | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[312]) ).

thf(396,plain,
    ! [SV51: $i] :
      ( ( ( ~ ( eiw_di @ SV51 @ mactual ) )
        = $true )
      | ( ( ! [SY69: $i] :
              ( ~ ( eiw_di @ SY69 @ mactual )
              | ~ ( qmltpeq @ SV51 @ SY69 @ mactual )
              | ( qmltpeq @ ( successor @ SV51 ) @ ( successor @ SY69 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[313]) ).

thf(397,plain,
    ! [SV52: $i] :
      ( ( ( ~ ( eiw_di @ SV52 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV52 @ null_class @ mactual ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[314]) ).

thf(398,plain,
    ! [SV53: $i] :
      ( ( ( ~ ( eiw_di @ SV53 @ mactual ) )
        = $true )
      | ( ( ! [SY70: $i] :
              ( ~ ( eiw_di @ SY70 @ mactual )
              | ! [SY71: $i] :
                  ( ~ ( eiw_di @ SY71 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV53 @ SY70 @ mactual )
                        | ~ ( disjoint @ SY71 @ SV53 @ mactual ) )
                  | ( disjoint @ SY71 @ SY70 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[315]) ).

thf(399,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( eiw_di @ SV54 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( function @ SV54 @ mactual )
                  | ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                      | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                        | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
                  | ( function @ SV54 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[316]) ).

thf(400,plain,
    ! [SV55: $i] :
      ( ( ( ~ ( eiw_di @ SV55 @ mactual ) )
        = $true )
      | ( ( ! [SY72: $i] :
              ( ~ ( eiw_di @ SY72 @ mactual )
              | ~ ( ~ ( ~ ( disjoint @ SV55 @ SY72 @ mactual )
                      | ! [SY73: $i] :
                          ( ~ ( eiw_di @ SY73 @ mactual )
                          | ~ ~ ( ~ ( member @ SY73 @ SV55 @ mactual )
                                | ~ ( member @ SY73 @ SY72 @ mactual ) ) ) )
                  | ~ ( ~ ! [SY74: $i] :
                            ( ~ ( eiw_di @ SY74 @ mactual )
                            | ~ ~ ( ~ ( member @ SY74 @ SV55 @ mactual )
                                  | ~ ( member @ SY74 @ SY72 @ mactual ) ) )
                      | ( disjoint @ SV55 @ SY72 @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[317]) ).

thf(401,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( eiw_di @ SV56 @ mactual ) )
        = $true )
      | ( ( ! [SY75: $i] :
              ( ~ ( eiw_di @ SY75 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV56 @ SY75 ) @ successor_relation @ mactual )
                      | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SY75 @ universal_class @ mactual )
                                | ~ ( qmltpeq @ ( successor @ SV56 ) @ SY75 @ mactual ) ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                            | ~ ~ ( ~ ( member @ SY75 @ universal_class @ mactual )
                                  | ~ ( qmltpeq @ ( successor @ SV56 ) @ SY75 @ mactual ) ) )
                      | ( member @ ( ordered_pair @ SV56 @ SY75 ) @ successor_relation @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[318]) ).

thf(402,plain,
    ! [SV57: $i] :
      ( ( ( ~ ( eiw_di @ SV57 @ mactual ) )
        = $true )
      | ( ( ! [SY76: $i] :
              ( ~ ( eiw_di @ SY76 @ mactual )
              | ! [SY77: $i] :
                  ( ~ ( eiw_di @ SY77 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SY76 @ SY77 ) @ mactual )
                          | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                              | ~ ( ( qmltpeq @ SV57 @ SY76 @ mactual )
                                  | ( qmltpeq @ SV57 @ SY77 @ mactual ) ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                                | ~ ( ( qmltpeq @ SV57 @ SY76 @ mactual )
                                    | ( qmltpeq @ SV57 @ SY77 @ mactual ) ) )
                          | ( member @ SV57 @ ( unordered_pair @ SY76 @ SY77 ) @ mactual ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[319]) ).

thf(403,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( eiw_di @ SV58 @ mactual ) )
        = $true )
      | ( ( ! [SY78: $i] :
              ( ~ ( eiw_di @ SY78 @ mactual )
              | ! [SY79: $i] :
                  ( ~ ( eiw_di @ SY79 @ mactual )
                  | ~ ( member @ SY79 @ ( cross_product @ SV58 @ SY78 ) @ mactual )
                  | ( qmltpeq @ SY79 @ ( ordered_pair @ ( first @ SY79 ) @ ( second @ SY79 ) ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(404,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( eiw_di @ SV59 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( inductive @ SV59 @ mactual )
                  | ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                      | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                        | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
                  | ( inductive @ SV59 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[321]) ).

thf(405,plain,
    ! [SV60: $i] :
      ( ( ( ~ ( eiw_di @ SV60 @ mactual ) )
        = $true )
      | ( ( ! [SY80: $i] :
              ( ~ ( eiw_di @ SY80 @ mactual )
              | ! [SY81: $i] :
                  ( ~ ( eiw_di @ SY81 @ mactual )
                  | ! [SY82: $i] :
                      ( ~ ( eiw_di @ SY82 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( rotate @ SV60 ) @ mactual )
                              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY81 @ SY82 ) @ SY80 ) @ SV60 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY81 @ SY82 ) @ SY80 ) @ SV60 @ mactual ) )
                              | ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[322]) ).

thf(406,plain,
    ! [SV61: $i] :
      ( ( ( ~ ( eiw_di @ SV61 @ mactual ) )
        = $true )
      | ( ( ! [SY83: $i] :
              ( ~ ( eiw_di @ SY83 @ mactual )
              | ~ ( qmltpeq @ SV61 @ SY83 @ mactual )
              | ( qmltpeq @ ( rotate @ SV61 ) @ ( rotate @ SY83 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[323]) ).

thf(407,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( eiw_di @ SV62 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( qmltpeq @ SV62 @ null_class @ mactual )
          | ~ ! [SY84: $i] :
                ~ ~ ( ~ ( eiw_di @ SY84 @ mactual )
                    | ~ ~ ( ~ ( member @ SY84 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SY84 @ SV62 @ mactual )
                                | ~ ( disjoint @ SY84 @ SV62 @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(408,plain,
    ! [SV63: $i] :
      ( ( ( ~ ( eiw_di @ SV63 @ mactual ) )
        = $true )
      | ( ( ! [SY85: $i] :
              ( ~ ( eiw_di @ SY85 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV63 @ SY85 ) @ element_relation @ mactual )
                      | ~ ( ~ ( member @ SY85 @ universal_class @ mactual )
                          | ~ ( member @ SV63 @ SY85 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY85 @ universal_class @ mactual )
                            | ~ ( member @ SV63 @ SY85 @ mactual ) )
                      | ( member @ ( ordered_pair @ SV63 @ SY85 ) @ element_relation @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[325]) ).

thf(409,plain,
    ! [SV64: $i] :
      ( ( ( ~ ( eiw_di @ SV64 @ mactual ) )
        = $true )
      | ( ( ! [SY86: $i] :
              ( ~ ( eiw_di @ SY86 @ mactual )
              | ! [SY87: $i] :
                  ( ~ ( eiw_di @ SY87 @ mactual )
                  | ~ ( qmltpeq @ SV64 @ SY86 @ mactual )
                  | ( qmltpeq @ ( unordered_pair @ SY87 @ SV64 ) @ ( unordered_pair @ SY87 @ SY86 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[326]) ).

thf(410,plain,
    ! [SV65: $i] :
      ( ( ( ~ ( eiw_di @ SV65 @ mactual ) )
        = $true )
      | ( ( subclass @ SV65 @ universal_class @ mactual )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[327]) ).

thf(411,plain,
    ! [SV66: $i] :
      ( ( ( ~ ( eiw_di @ SV66 @ mactual ) )
        = $true )
      | ( ( ! [SY88: $i] :
              ( ~ ( eiw_di @ SY88 @ mactual )
              | ! [SY89: $i] :
                  ( ~ ( eiw_di @ SY89 @ mactual )
                  | ~ ( qmltpeq @ SV66 @ SY88 @ mactual )
                  | ( qmltpeq @ ( image @ SV66 @ SY89 ) @ ( image @ SY88 @ SY89 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[328]) ).

thf(412,plain,
    ! [SV67: $i] :
      ( ( ( ~ ( eiw_di @ SV67 @ mactual ) )
        = $true )
      | ( ( ! [SY90: $i] :
              ( ~ ( eiw_di @ SY90 @ mactual )
              | ! [SY91: $i] :
                  ( ~ ( eiw_di @ SY91 @ mactual )
                  | ~ ( qmltpeq @ SV67 @ SY90 @ mactual )
                  | ( qmltpeq @ ( cross_product @ SV67 @ SY91 ) @ ( cross_product @ SY90 @ SY91 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[329]) ).

thf(413,plain,
    ! [SV68: $i] :
      ( ( ( ~ ( eiw_di @ SV68 @ mactual ) )
        = $true )
      | ( ( ! [SY92: $i] :
              ( ~ ( eiw_di @ SY92 @ mactual )
              | ! [SY93: $i] :
                  ( ~ ( eiw_di @ SY93 @ mactual )
                  | ~ ( qmltpeq @ SV68 @ SY92 @ mactual )
                  | ( qmltpeq @ ( union @ SV68 @ SY93 ) @ ( union @ SY92 @ SY93 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[330]) ).

thf(414,plain,
    ! [SV69: $i] :
      ( ( ( ~ ( eiw_di @ SV69 @ mactual ) )
        = $true )
      | ( ( ! [SY94: $i] :
              ( ~ ( eiw_di @ SY94 @ mactual )
              | ! [SY95: $i] :
                  ( ~ ( eiw_di @ SY95 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV69 @ SY94 @ mactual )
                        | ~ ( member @ SY95 @ SV69 @ mactual ) )
                  | ( member @ SY95 @ SY94 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[331]) ).

thf(415,plain,
    ! [SV70: $i] :
      ( ( ( ~ ( eiw_di @ SV70 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( range_of @ SV70 ) @ ( domain_of @ ( inverse @ SV70 ) ) @ mactual )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[332]) ).

thf(416,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( eiw_di @ SV71 @ mactual ) )
        = $true )
      | ( ( ! [SY96: $i] :
              ( ~ ( eiw_di @ SY96 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SV71 @ SY96 ) @ ( unordered_pair @ ( singleton @ SV71 ) @ ( unordered_pair @ SV71 @ ( singleton @ SY96 ) ) ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[333]) ).

thf(417,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( eiw_di @ SV72 @ mactual ) )
        = $true )
      | ( ( ! [SY97: $i] :
              ( ~ ( eiw_di @ SY97 @ mactual )
              | ! [SY98: $i] :
                  ( ~ ( eiw_di @ SY98 @ mactual )
                  | ~ ( qmltpeq @ SV72 @ SY97 @ mactual )
                  | ( qmltpeq @ ( unordered_pair @ SV72 @ SY98 ) @ ( unordered_pair @ SY97 @ SY98 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[334]) ).

thf(418,plain,
    ! [SV73: $i] :
      ( ( ( ~ ( eiw_di @ SV73 @ mactual ) )
        = $true )
      | ( ( ! [SY99: $i] :
              ( ~ ( eiw_di @ SY99 @ mactual )
              | ( qmltpeq @ ( image @ SY99 @ SV73 ) @ ( range_of @ ( restrict @ SY99 @ SV73 @ universal_class ) ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(419,plain,
    ! [SV74: $i] :
      ( ( ( ~ ( eiw_di @ SV74 @ mactual ) )
        = $true )
      | ( ( ! [SY100: $i] :
              ( ~ ( eiw_di @ SY100 @ mactual )
              | ! [SY101: $i] :
                  ( ~ ( eiw_di @ SY101 @ mactual )
                  | ! [SY102: $i] :
                      ( ~ ( eiw_di @ SY102 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( flip @ SY102 ) @ mactual )
                              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY100 @ SV74 ) @ SY101 ) @ SY102 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY100 @ SV74 ) @ SY101 ) @ SY102 @ mactual ) )
                              | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( flip @ SY102 ) @ mactual ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[336]) ).

thf(420,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( eiw_di @ SV75 @ mactual ) )
        = $true )
      | ( ( ! [SY103: $i] :
              ( ~ ( eiw_di @ SY103 @ mactual )
              | ! [SY104: $i] :
                  ( ~ ( eiw_di @ SY104 @ mactual )
                  | ! [SY105: $i] :
                      ( ~ ( eiw_di @ SY105 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SY104 @ SY105 ) @ ( compose @ SY103 @ SV75 ) @ mactual )
                              | ~ ( ~ ( member @ SY104 @ universal_class @ mactual )
                                  | ~ ( member @ SY105 @ ( image @ SY103 @ ( image @ SY103 @ ( singleton @ SY104 ) ) ) @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ SY104 @ universal_class @ mactual )
                                    | ~ ( member @ SY105 @ ( image @ SY103 @ ( image @ SY103 @ ( singleton @ SY104 ) ) ) @ mactual ) )
                              | ( member @ ( ordered_pair @ SY104 @ SY105 ) @ ( compose @ SY103 @ SV75 ) @ mactual ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[337]) ).

thf(421,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( eiw_di @ SV76 @ mactual ) )
        = $true )
      | ( ( ! [SY106: $i] :
              ( ~ ( eiw_di @ SY106 @ mactual )
              | ! [SY107: $i] :
                  ( ~ ( eiw_di @ SY107 @ mactual )
                  | ! [SY108: $i] :
                      ( ~ ( eiw_di @ SY108 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SY106 ) @ ( cross_product @ SY107 @ SY108 ) @ mactual )
                              | ~ ( ~ ( member @ SV76 @ SY107 @ mactual )
                                  | ~ ( member @ SY106 @ SY108 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ SV76 @ SY107 @ mactual )
                                    | ~ ( member @ SY106 @ SY108 @ mactual ) )
                              | ( member @ ( ordered_pair @ SV76 @ SY106 ) @ ( cross_product @ SY107 @ SY108 ) @ mactual ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[338]) ).

thf(422,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( eiw_di @ SV77 @ mactual ) )
        = $true )
      | ( ( ! [SY109: $i] :
              ( ~ ( eiw_di @ SY109 @ mactual )
              | ~ ( qmltpeq @ SV77 @ SY109 @ mactual )
              | ( qmltpeq @ ( sum_class @ SV77 ) @ ( sum_class @ SY109 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[339]) ).

thf(423,plain,
    ! [SV78: $i] :
      ( ( ( ~ ( eiw_di @ SV78 @ mactual ) )
        = $true )
      | ( ( ! [SY110: $i] :
              ( ~ ( eiw_di @ SY110 @ mactual )
              | ! [SY111: $i] :
                  ( ~ ( eiw_di @ SY111 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SY111 @ ( intersection @ SV78 @ SY110 ) @ mactual )
                          | ~ ( ~ ( member @ SY111 @ SV78 @ mactual )
                              | ~ ( member @ SY111 @ SY110 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SY111 @ SV78 @ mactual )
                                | ~ ( member @ SY111 @ SY110 @ mactual ) )
                          | ( member @ SY111 @ ( intersection @ SV78 @ SY110 ) @ mactual ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[340]) ).

thf(424,plain,
    ! [SV79: $i] :
      ( ( ( ~ ( eiw_di @ SV79 @ mactual ) )
        = $true )
      | ( ( ! [SY112: $i] :
              ( ~ ( eiw_di @ SY112 @ mactual )
              | ~ ( qmltpeq @ SV79 @ SY112 @ mactual )
              | ( qmltpeq @ ( domain_of @ SV79 ) @ ( domain_of @ SY112 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[341]) ).

thf(425,plain,
    ! [SV80: $i] :
      ( ( ( ~ ( eiw_di @ SV80 @ mactual ) )
        = $true )
      | ( ( ! [SY113: $i] :
              ( ~ ( eiw_di @ SY113 @ mactual )
              | ~ ( qmltpeq @ SV80 @ SY113 @ mactual )
              | ( qmltpeq @ ( first @ SV80 ) @ ( first @ SY113 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[342]) ).

thf(426,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( eiw_di @ SV81 @ mactual ) )
        = $true )
      | ( ( ! [SY114: $i] :
              ( ~ ( eiw_di @ SY114 @ mactual )
              | ~ ( qmltpeq @ SV81 @ SY114 @ mactual )
              | ( qmltpeq @ ( flip @ SV81 ) @ ( flip @ SY114 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[343]) ).

thf(427,plain,
    ! [SV3: $i] :
      ( ( ( eiw_di @ SV3 @ mactual )
        = $false )
      | ( ( ! [SY1: $i] :
              ( ~ ( eiw_di @ SY1 @ mactual )
              | ! [SY2: $i] :
                  ( ~ ( eiw_di @ SY2 @ mactual )
                  | ! [SY3: $i] :
                      ( ~ ( eiw_di @ SY3 @ mactual )
                      | ~ ( qmltpeq @ SV3 @ SY1 @ mactual )
                      | ( qmltpeq @ ( restrict @ SY2 @ SV3 @ SY3 ) @ ( restrict @ SY2 @ SY1 @ SY3 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[345]) ).

thf(428,plain,
    ! [SV4: $i] :
      ( ( ( eiw_di @ SV4 @ mactual )
        = $false )
      | ( ( ! [SY4: $i] :
              ( ~ ( eiw_di @ SY4 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY4 @ ( domain_of @ SV4 ) @ mactual )
                      | ~ ( ~ ( member @ SY4 @ universal_class @ mactual )
                          | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SY4 ) @ universal_class ) @ null_class @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY4 @ universal_class @ mactual )
                            | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SY4 ) @ universal_class ) @ null_class @ mactual ) )
                      | ( member @ SY4 @ ( domain_of @ SV4 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[346]) ).

thf(429,plain,
    ! [SV5: $i] :
      ( ( ( eiw_di @ SV5 @ mactual )
        = $false )
      | ( ( ! [SY5: $i] :
              ( ~ ( eiw_di @ SY5 @ mactual )
              | ! [SY6: $i] :
                  ( ~ ( eiw_di @ SY6 @ mactual )
                  | ~ ( qmltpeq @ SV5 @ SY5 @ mactual )
                  | ( qmltpeq @ ( apply @ SV5 @ SY6 ) @ ( apply @ SY5 @ SY6 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(430,plain,
    ! [SV6: $i] :
      ( ( ( eiw_di @ SV6 @ mactual )
        = $false )
      | ( ( ! [SY7: $i] :
              ( ~ ( eiw_di @ SY7 @ mactual )
              | ! [SY8: $i] :
                  ( ~ ( eiw_di @ SY8 @ mactual )
                  | ! [SY9: $i] :
                      ( ~ ( eiw_di @ SY9 @ mactual )
                      | ~ ( qmltpeq @ SV6 @ SY7 @ mactual )
                      | ( qmltpeq @ ( restrict @ SV6 @ SY8 @ SY9 ) @ ( restrict @ SY7 @ SY8 @ SY9 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(431,plain,
    ! [SV7: $i] :
      ( ( ( eiw_di @ SV7 @ mactual )
        = $false )
      | ( ( ! [SY10: $i] :
              ( ~ ( eiw_di @ SY10 @ mactual )
              | ! [SY11: $i] :
                  ( ~ ( eiw_di @ SY11 @ mactual )
                  | ~ ( qmltpeq @ SV7 @ SY10 @ mactual )
                  | ( qmltpeq @ ( compose @ SY11 @ SV7 ) @ ( compose @ SY11 @ SY10 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[349]) ).

thf(432,plain,
    ! [SV8: $i] :
      ( ( ( eiw_di @ SV8 @ mactual )
        = $false )
      | ( ( ! [SY12: $i] :
              ( ~ ( eiw_di @ SY12 @ mactual )
              | ~ ( ~ ( ~ ( member @ SV8 @ ( sum_class @ SY12 ) @ mactual )
                      | ~ ! [SY13: $i] :
                            ~ ~ ( ~ ( eiw_di @ SY13 @ mactual )
                                | ~ ~ ( ~ ( member @ SV8 @ SY13 @ mactual )
                                      | ~ ( member @ SY13 @ SY12 @ mactual ) ) ) )
                  | ~ ( ~ ~ ! [SY14: $i] :
                              ~ ~ ( ~ ( eiw_di @ SY14 @ mactual )
                                  | ~ ~ ( ~ ( member @ SV8 @ SY14 @ mactual )
                                        | ~ ( member @ SY14 @ SY12 @ mactual ) ) )
                      | ( member @ SV8 @ ( sum_class @ SY12 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[350]) ).

thf(433,plain,
    ! [SV9: $i] :
      ( ( ( eiw_di @ SV9 @ mactual )
        = $false )
      | ( ( ! [SY15: $i] :
              ( ~ ( eiw_di @ SY15 @ mactual )
              | ~ ( qmltpeq @ SV9 @ SY15 @ mactual )
              | ( qmltpeq @ ( complement @ SV9 ) @ ( complement @ SY15 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(434,plain,
    ! [SV10: $i] :
      ( ( ( eiw_di @ SV10 @ mactual )
        = $false )
      | ( ( ! [SY16: $i] :
              ( ~ ( eiw_di @ SY16 @ mactual )
              | ( qmltpeq @ ( apply @ SV10 @ SY16 ) @ ( sum_class @ ( image @ SV10 @ ( singleton @ SY16 ) ) ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(435,plain,
    ! [SV11: $i] :
      ( ( ( eiw_di @ SV11 @ mactual )
        = $false )
      | ( ( ! [SY17: $i] :
              ( ~ ( eiw_di @ SY17 @ mactual )
              | ! [SY18: $i] :
                  ( ~ ( eiw_di @ SY18 @ mactual )
                  | ( qmltpeq @ ( restrict @ SY17 @ SV11 @ SY18 ) @ ( intersection @ SY17 @ ( cross_product @ SV11 @ SY18 ) ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(436,plain,
    ! [SV12: $i] :
      ( ( ( eiw_di @ SV12 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( singleton @ SV12 ) @ ( unordered_pair @ SV12 @ SV12 ) @ mactual )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(437,plain,
    ! [SV13: $i] :
      ( ( ( eiw_di @ SV13 @ mactual )
        = $false )
      | ( ( ! [SY19: $i] :
              ( ~ ( eiw_di @ SY19 @ mactual )
              | ! [SY20: $i] :
                  ( ~ ( eiw_di @ SY20 @ mactual )
                  | ~ ( qmltpeq @ SV13 @ SY19 @ mactual )
                  | ( qmltpeq @ ( union @ SY20 @ SV13 ) @ ( union @ SY20 @ SY19 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[355]) ).

thf(438,plain,
    ! [SV14: $i] :
      ( ( ( eiw_di @ SV14 @ mactual )
        = $false )
      | ( ( ! [SY21: $i] :
              ( ~ ( eiw_di @ SY21 @ mactual )
              | ~ ( qmltpeq @ SV14 @ SY21 @ mactual )
              | ( qmltpeq @ ( power_class @ SV14 ) @ ( power_class @ SY21 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(439,plain,
    ! [SV15: $i] :
      ( ( ( eiw_di @ SV15 @ mactual )
        = $false )
      | ( ( ! [SY22: $i] :
              ( ~ ( eiw_di @ SY22 @ mactual )
              | ~ ~ ( ~ ( member @ SV15 @ universal_class @ mactual )
                    | ~ ( function @ SY22 @ mactual ) )
              | ( member @ ( image @ SY22 @ SV15 ) @ universal_class @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[357]) ).

thf(440,plain,
    ! [SV16: $i] :
      ( ( ( eiw_di @ SV16 @ mactual )
        = $false )
      | ( ( ! [SY23: $i] :
              ( ~ ( eiw_di @ SY23 @ mactual )
              | ( member @ ( unordered_pair @ SV16 @ SY23 ) @ universal_class @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[358]) ).

thf(441,plain,
    ! [SV17: $i] :
      ( ( ( eiw_di @ SV17 @ mactual )
        = $false )
      | ( ( ! [SY24: $i] :
              ( ~ ( eiw_di @ SY24 @ mactual )
              | ~ ( qmltpeq @ SV17 @ SY24 @ mactual )
              | ( qmltpeq @ ( range_of @ SV17 ) @ ( range_of @ SY24 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(442,plain,
    ! [SV18: $i] :
      ( ( ( eiw_di @ SV18 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( inverse @ SV18 ) @ ( domain_of @ ( flip @ ( cross_product @ SV18 @ universal_class ) ) ) @ mactual )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(443,plain,
    ! [SV19: $i] :
      ( ( ( eiw_di @ SV19 @ mactual )
        = $false )
      | ( ( subclass @ ( rotate @ SV19 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[361]) ).

thf(444,plain,
    ! [SV20: $i] :
      ( ( ( eiw_di @ SV20 @ mactual )
        = $false )
      | ( ( ! [SY25: $i] :
              ( ~ ( eiw_di @ SY25 @ mactual )
              | ! [SY26: $i] :
                  ( ~ ( eiw_di @ SY26 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SY26 @ ( union @ SV20 @ SY25 ) @ mactual )
                          | ( member @ SY26 @ SV20 @ mactual )
                          | ( member @ SY26 @ SY25 @ mactual ) )
                      | ~ ( ~ ( ( member @ SY26 @ SV20 @ mactual )
                              | ( member @ SY26 @ SY25 @ mactual ) )
                          | ( member @ SY26 @ ( union @ SV20 @ SY25 ) @ mactual ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(445,plain,
    ! [SV21: $i] :
      ( ( ( eiw_di @ SV21 @ mactual )
        = $false )
      | ( ( ! [SY27: $i] :
              ( ~ ( eiw_di @ SY27 @ mactual )
              | ! [SY28: $i] :
                  ( ~ ( eiw_di @ SY28 @ mactual )
                  | ! [SY29: $i] :
                      ( ~ ( eiw_di @ SY29 @ mactual )
                      | ~ ( qmltpeq @ SV21 @ SY27 @ mactual )
                      | ( qmltpeq @ ( restrict @ SY28 @ SY29 @ SV21 ) @ ( restrict @ SY28 @ SY29 @ SY27 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[363]) ).

thf(446,plain,
    ! [SV22: $i] :
      ( ( ( eiw_di @ SV22 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( successor @ SV22 ) @ ( union @ SV22 @ ( singleton @ SV22 ) ) @ mactual )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[364]) ).

thf(447,plain,
    ! [SV23: $i] :
      ( ( ( eiw_di @ SV23 @ mactual )
        = $false )
      | ( ( ! [SY30: $i] :
              ( ~ ( eiw_di @ SY30 @ mactual )
              | ~ ( ~ ( ~ ( member @ SV23 @ ( power_class @ SY30 ) @ mactual )
                      | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                          | ~ ( subclass @ SV23 @ SY30 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                            | ~ ( subclass @ SV23 @ SY30 @ mactual ) )
                      | ( member @ SV23 @ ( power_class @ SY30 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[365]) ).

thf(448,plain,
    ! [SV24: $i] :
      ( ( ( eiw_di @ SV24 @ mactual )
        = $false )
      | ( ( ! [SY31: $i] :
              ( ~ ( eiw_di @ SY31 @ mactual )
              | ! [SY32: $i] :
                  ( ~ ( eiw_di @ SY32 @ mactual )
                  | ~ ( qmltpeq @ SV24 @ SY31 @ mactual )
                  | ( qmltpeq @ ( ordered_pair @ SV24 @ SY32 ) @ ( ordered_pair @ SY31 @ SY32 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(449,plain,
    ! [SV25: $i] :
      ( ( ( eiw_di @ SV25 @ mactual )
        = $false )
      | ( ( ! [SY33: $i] :
              ( ~ ( eiw_di @ SY33 @ mactual )
              | ! [SY34: $i] :
                  ( ~ ( eiw_di @ SY34 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV25 @ SY33 @ mactual )
                        | ~ ( subclass @ SV25 @ SY34 @ mactual ) )
                  | ( subclass @ SY33 @ SY34 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(450,plain,
    ! [SV26: $i] :
      ( ( ( eiw_di @ SV26 @ mactual )
        = $false )
      | ( ( ! [SY35: $i] :
              ( ~ ( eiw_di @ SY35 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY35 @ ( complement @ SV26 ) @ mactual )
                      | ~ ( ~ ( member @ SY35 @ universal_class @ mactual )
                          | ~ ~ ( member @ SY35 @ SV26 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY35 @ universal_class @ mactual )
                            | ~ ~ ( member @ SY35 @ SV26 @ mactual ) )
                      | ( member @ SY35 @ ( complement @ SV26 ) @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(451,plain,
    ! [SV27: $i] :
      ( ( ( eiw_di @ SV27 @ mactual )
        = $false )
      | ( ( ! [SY36: $i] :
              ( ~ ( eiw_di @ SY36 @ mactual )
              | ! [SY37: $i] :
                  ( ~ ( eiw_di @ SY37 @ mactual )
                  | ~ ( qmltpeq @ SV27 @ SY36 @ mactual )
                  | ( qmltpeq @ ( intersection @ SV27 @ SY37 ) @ ( intersection @ SY36 @ SY37 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[369]) ).

thf(452,plain,
    ! [SV28: $i] :
      ( ( ( eiw_di @ SV28 @ mactual )
        = $false )
      | ( ( ! [SY38: $i] :
              ( ~ ( eiw_di @ SY38 @ mactual )
              | ! [SY39: $i] :
                  ( ~ ( eiw_di @ SY39 @ mactual )
                  | ~ ( qmltpeq @ SV28 @ SY38 @ mactual )
                  | ( qmltpeq @ ( compose @ SV28 @ SY39 ) @ ( compose @ SY38 @ SY39 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[370]) ).

thf(453,plain,
    ! [SV29: $i] :
      ( ( ( eiw_di @ SV29 @ mactual )
        = $false )
      | ( ( ! [SY40: $i] :
              ( ~ ( eiw_di @ SY40 @ mactual )
              | ( subclass @ ( compose @ SY40 @ SV29 ) @ ( cross_product @ universal_class @ universal_class ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[371]) ).

thf(454,plain,
    ! [SV30: $i] :
      ( ( ( eiw_di @ SV30 @ mactual )
        = $false )
      | ( ( ! [SY41: $i] :
              ( ~ ( eiw_di @ SY41 @ mactual )
              | ~ ( qmltpeq @ SV30 @ SY41 @ mactual )
              | ( qmltpeq @ ( inverse @ SV30 ) @ ( inverse @ SY41 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[372]) ).

thf(455,plain,
    ! [SV31: $i] :
      ( ( ( eiw_di @ SV31 @ mactual )
        = $false )
      | ( ( ! [SY42: $i] :
              ( ~ ( eiw_di @ SY42 @ mactual )
              | ! [SY43: $i] :
                  ( ~ ( eiw_di @ SY43 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV31 @ SY42 @ mactual )
                        | ~ ( qmltpeq @ SY42 @ SY43 @ mactual ) )
                  | ( qmltpeq @ SV31 @ SY43 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[373]) ).

thf(456,plain,
    ! [SV32: $i] :
      ( ( ( eiw_di @ SV32 @ mactual )
        = $false )
      | ( ( ! [SY44: $i] :
              ( ~ ( eiw_di @ SY44 @ mactual )
              | ~ ( ~ ( ~ ( subclass @ SV32 @ SY44 @ mactual )
                      | ! [SY45: $i] :
                          ( ~ ( eiw_di @ SY45 @ mactual )
                          | ~ ( member @ SY45 @ SV32 @ mactual )
                          | ( member @ SY45 @ SY44 @ mactual ) ) )
                  | ~ ( ~ ! [SY46: $i] :
                            ( ~ ( eiw_di @ SY46 @ mactual )
                            | ~ ( member @ SY46 @ SV32 @ mactual )
                            | ( member @ SY46 @ SY44 @ mactual ) )
                      | ( subclass @ SV32 @ SY44 @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[374]) ).

thf(457,plain,
    ! [SV33: $i] :
      ( ( ( eiw_di @ SV33 @ mactual )
        = $false )
      | ( ( ! [SY47: $i] :
              ( ~ ( eiw_di @ SY47 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV33 @ SY47 @ mactual )
                    | ~ ( function @ SV33 @ mactual ) )
              | ( function @ SY47 @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[375]) ).

thf(458,plain,
    ! [SV34: $i] :
      ( ( ( eiw_di @ SV34 @ mactual )
        = $false )
      | ( ( ! [SY48: $i] :
              ( ~ ( eiw_di @ SY48 @ mactual )
              | ~ ( qmltpeq @ SV34 @ SY48 @ mactual )
              | ( qmltpeq @ ( second @ SV34 ) @ ( second @ SY48 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[376]) ).

thf(459,plain,
    ! [SV35: $i] :
      ( ( ( eiw_di @ SV35 @ mactual )
        = $false )
      | ( ( ! [SY49: $i] :
              ( ~ ( eiw_di @ SY49 @ mactual )
              | ! [SY50: $i] :
                  ( ~ ( eiw_di @ SY50 @ mactual )
                  | ~ ( qmltpeq @ SV35 @ SY49 @ mactual )
                  | ( qmltpeq @ ( apply @ SY50 @ SV35 ) @ ( apply @ SY50 @ SY49 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(460,plain,
    ! [SV36: $i] :
      ( ( ( eiw_di @ SV36 @ mactual )
        = $false )
      | ( ( ! [SY51: $i] :
              ( ~ ( eiw_di @ SY51 @ mactual )
              | ! [SY52: $i] :
                  ( ~ ( eiw_di @ SY52 @ mactual )
                  | ~ ( qmltpeq @ SV36 @ SY51 @ mactual )
                  | ( qmltpeq @ ( cross_product @ SY52 @ SV36 ) @ ( cross_product @ SY52 @ SY51 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[378]) ).

thf(461,plain,
    ! [SV37: $i] :
      ( ( ( eiw_di @ SV37 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV37 @ universal_class @ mactual )
          | ( member @ ( sum_class @ SV37 ) @ universal_class @ mactual ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[379]) ).

thf(462,plain,
    ! [SV38: $i] :
      ( ( ( eiw_di @ SV38 @ mactual )
        = $false )
      | ( ( ! [SY53: $i] :
              ( ~ ( eiw_di @ SY53 @ mactual )
              | ! [SY54: $i] :
                  ( ~ ( eiw_di @ SY54 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV38 @ SY53 @ mactual )
                        | ~ ( subclass @ SY54 @ SV38 @ mactual ) )
                  | ( subclass @ SY54 @ SY53 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[380]) ).

thf(463,plain,
    ! [SV39: $i] :
      ( ( ( eiw_di @ SV39 @ mactual )
        = $false )
      | ( ( ! [SY55: $i] :
              ( ~ ( eiw_di @ SY55 @ mactual )
              | ! [SY56: $i] :
                  ( ~ ( eiw_di @ SY56 @ mactual )
                  | ~ ( qmltpeq @ SV39 @ SY55 @ mactual )
                  | ( qmltpeq @ ( ordered_pair @ SY56 @ SV39 ) @ ( ordered_pair @ SY56 @ SY55 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[381]) ).

thf(464,plain,
    ! [SV40: $i] :
      ( ( ( eiw_di @ SV40 @ mactual )
        = $false )
      | ( ( ! [SY57: $i] :
              ( ~ ( eiw_di @ SY57 @ mactual )
              | ! [SY58: $i] :
                  ( ~ ( eiw_di @ SY58 @ mactual )
                  | ~ ( qmltpeq @ SV40 @ SY57 @ mactual )
                  | ( qmltpeq @ ( image @ SY58 @ SV40 ) @ ( image @ SY58 @ SY57 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[382]) ).

thf(465,plain,
    ! [SV41: $i] :
      ( ( ( eiw_di @ SV41 @ mactual )
        = $false )
      | ( ( ! [SY59: $i] :
              ( ~ ( eiw_di @ SY59 @ mactual )
              | ! [SY60: $i] :
                  ( ~ ( eiw_di @ SY60 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV41 @ SY59 @ mactual )
                        | ~ ( member @ SV41 @ SY60 @ mactual ) )
                  | ( member @ SY59 @ SY60 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(466,plain,
    ! [SV42: $i] :
      ( ( ( eiw_di @ SV42 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV42 @ universal_class @ mactual )
          | ( member @ ( power_class @ SV42 ) @ universal_class @ mactual ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[384]) ).

thf(467,plain,
    ! [SV43: $i] :
      ( ( ( eiw_di @ SV43 @ mactual )
        = $false )
      | ( ( ! [SY61: $i] :
              ( ~ ( eiw_di @ SY61 @ mactual )
              | ! [SY62: $i] :
                  ( ~ ( eiw_di @ SY62 @ mactual )
                  | ~ ( qmltpeq @ SV43 @ SY61 @ mactual )
                  | ( qmltpeq @ ( intersection @ SY62 @ SV43 ) @ ( intersection @ SY62 @ SY61 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[385]) ).

thf(468,plain,
    ! [SV44: $i] :
      ( ( ( eiw_di @ SV44 @ mactual )
        = $false )
      | ( ( ! [SY63: $i] :
              ( ~ ( eiw_di @ SY63 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV44 @ SY63 @ mactual )
                    | ~ ( inductive @ SV44 @ mactual ) )
              | ( inductive @ SY63 @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[386]) ).

thf(469,plain,
    ! [SV45: $i] :
      ( ( ( eiw_di @ SV45 @ mactual )
        = $false )
      | ( ( ! [SY64: $i] :
              ( ~ ( eiw_di @ SY64 @ mactual )
              | ! [SY65: $i] :
                  ( ~ ( eiw_di @ SY65 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV45 @ SY64 @ mactual )
                        | ~ ( disjoint @ SV45 @ SY65 @ mactual ) )
                  | ( disjoint @ SY64 @ SY65 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[387]) ).

thf(470,plain,
    ( ( ~ ( ~ ( eiw_di @ sK2_SX0 @ mactual )
          | ~ ~ ( ~ ( function @ sK2_SX0 @ mactual )
                | ~ ! [SY115: $i] :
                      ( ~ ( eiw_di @ SY115 @ mactual )
                      | ~ ( member @ SY115 @ universal_class @ mactual )
                      | ( qmltpeq @ SY115 @ null_class @ mactual )
                      | ( member @ ( apply @ sK2_SX0 @ SY115 ) @ SY115 @ mactual ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[388]) ).

thf(471,plain,
    ! [SV46: $i] :
      ( ( ( eiw_di @ SV46 @ mactual )
        = $false )
      | ( ( subclass @ ( flip @ SV46 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(472,plain,
    ! [SV47: $i] :
      ( ( ( eiw_di @ SV47 @ mactual )
        = $false )
      | ( ( ! [SY66: $i] :
              ( ~ ( eiw_di @ SY66 @ mactual )
              | ~ ( ~ ( ~ ( qmltpeq @ SV47 @ SY66 @ mactual )
                      | ~ ( ~ ( subclass @ SV47 @ SY66 @ mactual )
                          | ~ ( subclass @ SY66 @ SV47 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( subclass @ SV47 @ SY66 @ mactual )
                            | ~ ( subclass @ SY66 @ SV47 @ mactual ) )
                      | ( qmltpeq @ SV47 @ SY66 @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[390]) ).

thf(473,plain,
    ! [SV48: $i] :
      ( ( ( eiw_di @ SV48 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV48 @ SV48 @ mactual )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[391]) ).

thf(474,plain,
    ! [SV49: $i] :
      ( ( ( eiw_di @ SV49 @ mactual )
        = $false )
      | ( ( ! [SY67: $i] :
              ( ~ ( eiw_di @ SY67 @ mactual )
              | ~ ( qmltpeq @ SV49 @ SY67 @ mactual )
              | ( qmltpeq @ ( singleton @ SV49 ) @ ( singleton @ SY67 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(475,plain,
    ! [SV50: $i] :
      ( ( ( eiw_di @ SV50 @ mactual )
        = $false )
      | ( ( ! [SY68: $i] :
              ( ~ ( eiw_di @ SY68 @ mactual )
              | ~ ( qmltpeq @ SV50 @ SY68 @ mactual )
              | ( qmltpeq @ SY68 @ SV50 @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(476,plain,
    ( ( ~ ( eiw_di @ sK3_SX0 @ mactual ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[394]) ).

thf(477,plain,
    ( ( qmltpeq @ sK3_SX0 @ sK3_SX0 @ mactual )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[394]) ).

thf(478,plain,
    ( ( ~ ( ~ ( eiw_di @ sK4_SX0 @ mactual )
          | ~ ~ ( ~ ( member @ sK4_SX0 @ universal_class @ mactual )
                | ~ ~ ( ~ ( inductive @ sK4_SX0 @ mactual )
                      | ~ ! [SY116: $i] :
                            ( ~ ( eiw_di @ SY116 @ mactual )
                            | ~ ( inductive @ SY116 @ mactual )
                            | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[395]) ).

thf(479,plain,
    ! [SV51: $i] :
      ( ( ( eiw_di @ SV51 @ mactual )
        = $false )
      | ( ( ! [SY69: $i] :
              ( ~ ( eiw_di @ SY69 @ mactual )
              | ~ ( qmltpeq @ SV51 @ SY69 @ mactual )
              | ( qmltpeq @ ( successor @ SV51 ) @ ( successor @ SY69 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[396]) ).

thf(480,plain,
    ! [SV52: $i] :
      ( ( ( eiw_di @ SV52 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV52 @ null_class @ mactual ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[397]) ).

thf(481,plain,
    ! [SV53: $i] :
      ( ( ( eiw_di @ SV53 @ mactual )
        = $false )
      | ( ( ! [SY70: $i] :
              ( ~ ( eiw_di @ SY70 @ mactual )
              | ! [SY71: $i] :
                  ( ~ ( eiw_di @ SY71 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV53 @ SY70 @ mactual )
                        | ~ ( disjoint @ SY71 @ SV53 @ mactual ) )
                  | ( disjoint @ SY71 @ SY70 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[398]) ).

thf(482,plain,
    ! [SV54: $i] :
      ( ( ( eiw_di @ SV54 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( function @ SV54 @ mactual )
                  | ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                      | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                        | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
                  | ( function @ SV54 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[399]) ).

thf(483,plain,
    ! [SV55: $i] :
      ( ( ( eiw_di @ SV55 @ mactual )
        = $false )
      | ( ( ! [SY72: $i] :
              ( ~ ( eiw_di @ SY72 @ mactual )
              | ~ ( ~ ( ~ ( disjoint @ SV55 @ SY72 @ mactual )
                      | ! [SY73: $i] :
                          ( ~ ( eiw_di @ SY73 @ mactual )
                          | ~ ~ ( ~ ( member @ SY73 @ SV55 @ mactual )
                                | ~ ( member @ SY73 @ SY72 @ mactual ) ) ) )
                  | ~ ( ~ ! [SY74: $i] :
                            ( ~ ( eiw_di @ SY74 @ mactual )
                            | ~ ~ ( ~ ( member @ SY74 @ SV55 @ mactual )
                                  | ~ ( member @ SY74 @ SY72 @ mactual ) ) )
                      | ( disjoint @ SV55 @ SY72 @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[400]) ).

thf(484,plain,
    ! [SV56: $i] :
      ( ( ( eiw_di @ SV56 @ mactual )
        = $false )
      | ( ( ! [SY75: $i] :
              ( ~ ( eiw_di @ SY75 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV56 @ SY75 ) @ successor_relation @ mactual )
                      | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SY75 @ universal_class @ mactual )
                                | ~ ( qmltpeq @ ( successor @ SV56 ) @ SY75 @ mactual ) ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                            | ~ ~ ( ~ ( member @ SY75 @ universal_class @ mactual )
                                  | ~ ( qmltpeq @ ( successor @ SV56 ) @ SY75 @ mactual ) ) )
                      | ( member @ ( ordered_pair @ SV56 @ SY75 ) @ successor_relation @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[401]) ).

thf(485,plain,
    ! [SV57: $i] :
      ( ( ( eiw_di @ SV57 @ mactual )
        = $false )
      | ( ( ! [SY76: $i] :
              ( ~ ( eiw_di @ SY76 @ mactual )
              | ! [SY77: $i] :
                  ( ~ ( eiw_di @ SY77 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SY76 @ SY77 ) @ mactual )
                          | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                              | ~ ( ( qmltpeq @ SV57 @ SY76 @ mactual )
                                  | ( qmltpeq @ SV57 @ SY77 @ mactual ) ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                                | ~ ( ( qmltpeq @ SV57 @ SY76 @ mactual )
                                    | ( qmltpeq @ SV57 @ SY77 @ mactual ) ) )
                          | ( member @ SV57 @ ( unordered_pair @ SY76 @ SY77 ) @ mactual ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[402]) ).

thf(486,plain,
    ! [SV58: $i] :
      ( ( ( eiw_di @ SV58 @ mactual )
        = $false )
      | ( ( ! [SY78: $i] :
              ( ~ ( eiw_di @ SY78 @ mactual )
              | ! [SY79: $i] :
                  ( ~ ( eiw_di @ SY79 @ mactual )
                  | ~ ( member @ SY79 @ ( cross_product @ SV58 @ SY78 ) @ mactual )
                  | ( qmltpeq @ SY79 @ ( ordered_pair @ ( first @ SY79 ) @ ( second @ SY79 ) ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[403]) ).

thf(487,plain,
    ! [SV59: $i] :
      ( ( ( eiw_di @ SV59 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( inductive @ SV59 @ mactual )
                  | ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                      | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                        | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
                  | ( inductive @ SV59 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[404]) ).

thf(488,plain,
    ! [SV60: $i] :
      ( ( ( eiw_di @ SV60 @ mactual )
        = $false )
      | ( ( ! [SY80: $i] :
              ( ~ ( eiw_di @ SY80 @ mactual )
              | ! [SY81: $i] :
                  ( ~ ( eiw_di @ SY81 @ mactual )
                  | ! [SY82: $i] :
                      ( ~ ( eiw_di @ SY82 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( rotate @ SV60 ) @ mactual )
                              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY81 @ SY82 ) @ SY80 ) @ SV60 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY81 @ SY82 ) @ SY80 ) @ SV60 @ mactual ) )
                              | ( member @ ( ordered_pair @ ( ordered_pair @ SY80 @ SY81 ) @ SY82 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[405]) ).

thf(489,plain,
    ! [SV61: $i] :
      ( ( ( eiw_di @ SV61 @ mactual )
        = $false )
      | ( ( ! [SY83: $i] :
              ( ~ ( eiw_di @ SY83 @ mactual )
              | ~ ( qmltpeq @ SV61 @ SY83 @ mactual )
              | ( qmltpeq @ ( rotate @ SV61 ) @ ( rotate @ SY83 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(490,plain,
    ! [SV62: $i] :
      ( ( ( eiw_di @ SV62 @ mactual )
        = $false )
      | ( ( ~ ~ ( qmltpeq @ SV62 @ null_class @ mactual )
          | ~ ! [SY84: $i] :
                ~ ~ ( ~ ( eiw_di @ SY84 @ mactual )
                    | ~ ~ ( ~ ( member @ SY84 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SY84 @ SV62 @ mactual )
                                | ~ ( disjoint @ SY84 @ SV62 @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(491,plain,
    ! [SV63: $i] :
      ( ( ( eiw_di @ SV63 @ mactual )
        = $false )
      | ( ( ! [SY85: $i] :
              ( ~ ( eiw_di @ SY85 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV63 @ SY85 ) @ element_relation @ mactual )
                      | ~ ( ~ ( member @ SY85 @ universal_class @ mactual )
                          | ~ ( member @ SV63 @ SY85 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY85 @ universal_class @ mactual )
                            | ~ ( member @ SV63 @ SY85 @ mactual ) )
                      | ( member @ ( ordered_pair @ SV63 @ SY85 ) @ element_relation @ mactual ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[408]) ).

thf(492,plain,
    ! [SV64: $i] :
      ( ( ( eiw_di @ SV64 @ mactual )
        = $false )
      | ( ( ! [SY86: $i] :
              ( ~ ( eiw_di @ SY86 @ mactual )
              | ! [SY87: $i] :
                  ( ~ ( eiw_di @ SY87 @ mactual )
                  | ~ ( qmltpeq @ SV64 @ SY86 @ mactual )
                  | ( qmltpeq @ ( unordered_pair @ SY87 @ SV64 ) @ ( unordered_pair @ SY87 @ SY86 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[409]) ).

thf(493,plain,
    ! [SV65: $i] :
      ( ( ( eiw_di @ SV65 @ mactual )
        = $false )
      | ( ( subclass @ SV65 @ universal_class @ mactual )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[410]) ).

thf(494,plain,
    ! [SV66: $i] :
      ( ( ( eiw_di @ SV66 @ mactual )
        = $false )
      | ( ( ! [SY88: $i] :
              ( ~ ( eiw_di @ SY88 @ mactual )
              | ! [SY89: $i] :
                  ( ~ ( eiw_di @ SY89 @ mactual )
                  | ~ ( qmltpeq @ SV66 @ SY88 @ mactual )
                  | ( qmltpeq @ ( image @ SV66 @ SY89 ) @ ( image @ SY88 @ SY89 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[411]) ).

thf(495,plain,
    ! [SV67: $i] :
      ( ( ( eiw_di @ SV67 @ mactual )
        = $false )
      | ( ( ! [SY90: $i] :
              ( ~ ( eiw_di @ SY90 @ mactual )
              | ! [SY91: $i] :
                  ( ~ ( eiw_di @ SY91 @ mactual )
                  | ~ ( qmltpeq @ SV67 @ SY90 @ mactual )
                  | ( qmltpeq @ ( cross_product @ SV67 @ SY91 ) @ ( cross_product @ SY90 @ SY91 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(496,plain,
    ! [SV68: $i] :
      ( ( ( eiw_di @ SV68 @ mactual )
        = $false )
      | ( ( ! [SY92: $i] :
              ( ~ ( eiw_di @ SY92 @ mactual )
              | ! [SY93: $i] :
                  ( ~ ( eiw_di @ SY93 @ mactual )
                  | ~ ( qmltpeq @ SV68 @ SY92 @ mactual )
                  | ( qmltpeq @ ( union @ SV68 @ SY93 ) @ ( union @ SY92 @ SY93 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[413]) ).

thf(497,plain,
    ! [SV69: $i] :
      ( ( ( eiw_di @ SV69 @ mactual )
        = $false )
      | ( ( ! [SY94: $i] :
              ( ~ ( eiw_di @ SY94 @ mactual )
              | ! [SY95: $i] :
                  ( ~ ( eiw_di @ SY95 @ mactual )
                  | ~ ~ ( ~ ( qmltpeq @ SV69 @ SY94 @ mactual )
                        | ~ ( member @ SY95 @ SV69 @ mactual ) )
                  | ( member @ SY95 @ SY94 @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[414]) ).

thf(498,plain,
    ! [SV70: $i] :
      ( ( ( eiw_di @ SV70 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( range_of @ SV70 ) @ ( domain_of @ ( inverse @ SV70 ) ) @ mactual )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[415]) ).

thf(499,plain,
    ! [SV71: $i] :
      ( ( ( eiw_di @ SV71 @ mactual )
        = $false )
      | ( ( ! [SY96: $i] :
              ( ~ ( eiw_di @ SY96 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SV71 @ SY96 ) @ ( unordered_pair @ ( singleton @ SV71 ) @ ( unordered_pair @ SV71 @ ( singleton @ SY96 ) ) ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(500,plain,
    ! [SV72: $i] :
      ( ( ( eiw_di @ SV72 @ mactual )
        = $false )
      | ( ( ! [SY97: $i] :
              ( ~ ( eiw_di @ SY97 @ mactual )
              | ! [SY98: $i] :
                  ( ~ ( eiw_di @ SY98 @ mactual )
                  | ~ ( qmltpeq @ SV72 @ SY97 @ mactual )
                  | ( qmltpeq @ ( unordered_pair @ SV72 @ SY98 ) @ ( unordered_pair @ SY97 @ SY98 ) @ mactual ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(501,plain,
    ! [SV73: $i] :
      ( ( ( eiw_di @ SV73 @ mactual )
        = $false )
      | ( ( ! [SY99: $i] :
              ( ~ ( eiw_di @ SY99 @ mactual )
              | ( qmltpeq @ ( image @ SY99 @ SV73 ) @ ( range_of @ ( restrict @ SY99 @ SV73 @ universal_class ) ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[418]) ).

thf(502,plain,
    ! [SV74: $i] :
      ( ( ( eiw_di @ SV74 @ mactual )
        = $false )
      | ( ( ! [SY100: $i] :
              ( ~ ( eiw_di @ SY100 @ mactual )
              | ! [SY101: $i] :
                  ( ~ ( eiw_di @ SY101 @ mactual )
                  | ! [SY102: $i] :
                      ( ~ ( eiw_di @ SY102 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( flip @ SY102 ) @ mactual )
                              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY100 @ SV74 ) @ SY101 ) @ SY102 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY100 @ SV74 ) @ SY101 ) @ SY102 @ mactual ) )
                              | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SY100 ) @ SY101 ) @ ( flip @ SY102 ) @ mactual ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[419]) ).

thf(503,plain,
    ! [SV75: $i] :
      ( ( ( eiw_di @ SV75 @ mactual )
        = $false )
      | ( ( ! [SY103: $i] :
              ( ~ ( eiw_di @ SY103 @ mactual )
              | ! [SY104: $i] :
                  ( ~ ( eiw_di @ SY104 @ mactual )
                  | ! [SY105: $i] :
                      ( ~ ( eiw_di @ SY105 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SY104 @ SY105 ) @ ( compose @ SY103 @ SV75 ) @ mactual )
                              | ~ ( ~ ( member @ SY104 @ universal_class @ mactual )
                                  | ~ ( member @ SY105 @ ( image @ SY103 @ ( image @ SY103 @ ( singleton @ SY104 ) ) ) @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ SY104 @ universal_class @ mactual )
                                    | ~ ( member @ SY105 @ ( image @ SY103 @ ( image @ SY103 @ ( singleton @ SY104 ) ) ) @ mactual ) )
                              | ( member @ ( ordered_pair @ SY104 @ SY105 ) @ ( compose @ SY103 @ SV75 ) @ mactual ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(504,plain,
    ! [SV76: $i] :
      ( ( ( eiw_di @ SV76 @ mactual )
        = $false )
      | ( ( ! [SY106: $i] :
              ( ~ ( eiw_di @ SY106 @ mactual )
              | ! [SY107: $i] :
                  ( ~ ( eiw_di @ SY107 @ mactual )
                  | ! [SY108: $i] :
                      ( ~ ( eiw_di @ SY108 @ mactual )
                      | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SY106 ) @ ( cross_product @ SY107 @ SY108 ) @ mactual )
                              | ~ ( ~ ( member @ SV76 @ SY107 @ mactual )
                                  | ~ ( member @ SY106 @ SY108 @ mactual ) ) )
                          | ~ ( ~ ~ ( ~ ( member @ SV76 @ SY107 @ mactual )
                                    | ~ ( member @ SY106 @ SY108 @ mactual ) )
                              | ( member @ ( ordered_pair @ SV76 @ SY106 ) @ ( cross_product @ SY107 @ SY108 ) @ mactual ) ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(505,plain,
    ! [SV77: $i] :
      ( ( ( eiw_di @ SV77 @ mactual )
        = $false )
      | ( ( ! [SY109: $i] :
              ( ~ ( eiw_di @ SY109 @ mactual )
              | ~ ( qmltpeq @ SV77 @ SY109 @ mactual )
              | ( qmltpeq @ ( sum_class @ SV77 ) @ ( sum_class @ SY109 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[422]) ).

thf(506,plain,
    ! [SV78: $i] :
      ( ( ( eiw_di @ SV78 @ mactual )
        = $false )
      | ( ( ! [SY110: $i] :
              ( ~ ( eiw_di @ SY110 @ mactual )
              | ! [SY111: $i] :
                  ( ~ ( eiw_di @ SY111 @ mactual )
                  | ~ ( ~ ( ~ ( member @ SY111 @ ( intersection @ SV78 @ SY110 ) @ mactual )
                          | ~ ( ~ ( member @ SY111 @ SV78 @ mactual )
                              | ~ ( member @ SY111 @ SY110 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SY111 @ SV78 @ mactual )
                                | ~ ( member @ SY111 @ SY110 @ mactual ) )
                          | ( member @ SY111 @ ( intersection @ SV78 @ SY110 ) @ mactual ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(507,plain,
    ! [SV79: $i] :
      ( ( ( eiw_di @ SV79 @ mactual )
        = $false )
      | ( ( ! [SY112: $i] :
              ( ~ ( eiw_di @ SY112 @ mactual )
              | ~ ( qmltpeq @ SV79 @ SY112 @ mactual )
              | ( qmltpeq @ ( domain_of @ SV79 ) @ ( domain_of @ SY112 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[424]) ).

thf(508,plain,
    ! [SV80: $i] :
      ( ( ( eiw_di @ SV80 @ mactual )
        = $false )
      | ( ( ! [SY113: $i] :
              ( ~ ( eiw_di @ SY113 @ mactual )
              | ~ ( qmltpeq @ SV80 @ SY113 @ mactual )
              | ( qmltpeq @ ( first @ SV80 ) @ ( first @ SY113 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(509,plain,
    ! [SV81: $i] :
      ( ( ( eiw_di @ SV81 @ mactual )
        = $false )
      | ( ( ! [SY114: $i] :
              ( ~ ( eiw_di @ SY114 @ mactual )
              | ~ ( qmltpeq @ SV81 @ SY114 @ mactual )
              | ( qmltpeq @ ( flip @ SV81 ) @ ( flip @ SY114 ) @ mactual ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[426]) ).

thf(510,plain,
    ! [SV3: $i,SV83: $i] :
      ( ( ( ~ ( eiw_di @ SV83 @ mactual )
          | ! [SY117: $i] :
              ( ~ ( eiw_di @ SY117 @ mactual )
              | ! [SY118: $i] :
                  ( ~ ( eiw_di @ SY118 @ mactual )
                  | ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
                  | ( qmltpeq @ ( restrict @ SY117 @ SV3 @ SY118 ) @ ( restrict @ SY117 @ SV83 @ SY118 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(511,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( eiw_di @ SV84 @ mactual )
          | ~ ( ~ ( ~ ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
                  | ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                      | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                        | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
                  | ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(512,plain,
    ! [SV5: $i,SV85: $i] :
      ( ( ( ~ ( eiw_di @ SV85 @ mactual )
          | ! [SY119: $i] :
              ( ~ ( eiw_di @ SY119 @ mactual )
              | ~ ( qmltpeq @ SV5 @ SV85 @ mactual )
              | ( qmltpeq @ ( apply @ SV5 @ SY119 ) @ ( apply @ SV85 @ SY119 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV5 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(513,plain,
    ! [SV6: $i,SV86: $i] :
      ( ( ( ~ ( eiw_di @ SV86 @ mactual )
          | ! [SY120: $i] :
              ( ~ ( eiw_di @ SY120 @ mactual )
              | ! [SY121: $i] :
                  ( ~ ( eiw_di @ SY121 @ mactual )
                  | ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
                  | ( qmltpeq @ ( restrict @ SV6 @ SY120 @ SY121 ) @ ( restrict @ SV86 @ SY120 @ SY121 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[430]) ).

thf(514,plain,
    ! [SV7: $i,SV87: $i] :
      ( ( ( ~ ( eiw_di @ SV87 @ mactual )
          | ! [SY122: $i] :
              ( ~ ( eiw_di @ SY122 @ mactual )
              | ~ ( qmltpeq @ SV7 @ SV87 @ mactual )
              | ( qmltpeq @ ( compose @ SY122 @ SV7 ) @ ( compose @ SY122 @ SV87 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV7 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(515,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( ~ ( eiw_di @ SV88 @ mactual )
          | ~ ( ~ ( ~ ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
                  | ~ ! [SY123: $i] :
                        ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                            | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                                  | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) )
              | ~ ( ~ ~ ! [SY124: $i] :
                          ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                              | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                                    | ~ ( member @ SY124 @ SV88 @ mactual ) ) )
                  | ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(516,plain,
    ! [SV9: $i,SV89: $i] :
      ( ( ( ~ ( eiw_di @ SV89 @ mactual )
          | ~ ( qmltpeq @ SV9 @ SV89 @ mactual )
          | ( qmltpeq @ ( complement @ SV9 ) @ ( complement @ SV89 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV9 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(517,plain,
    ! [SV10: $i,SV90: $i] :
      ( ( ( ~ ( eiw_di @ SV90 @ mactual )
          | ( qmltpeq @ ( apply @ SV10 @ SV90 ) @ ( sum_class @ ( image @ SV10 @ ( singleton @ SV90 ) ) ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV10 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(518,plain,
    ! [SV11: $i,SV91: $i] :
      ( ( ( ~ ( eiw_di @ SV91 @ mactual )
          | ! [SY125: $i] :
              ( ~ ( eiw_di @ SY125 @ mactual )
              | ( qmltpeq @ ( restrict @ SV91 @ SV11 @ SY125 ) @ ( intersection @ SV91 @ ( cross_product @ SV11 @ SY125 ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV11 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[435]) ).

thf(519,plain,
    ! [SV13: $i,SV92: $i] :
      ( ( ( ~ ( eiw_di @ SV92 @ mactual )
          | ! [SY126: $i] :
              ( ~ ( eiw_di @ SY126 @ mactual )
              | ~ ( qmltpeq @ SV13 @ SV92 @ mactual )
              | ( qmltpeq @ ( union @ SY126 @ SV13 ) @ ( union @ SY126 @ SV92 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV13 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[437]) ).

thf(520,plain,
    ! [SV14: $i,SV93: $i] :
      ( ( ( ~ ( eiw_di @ SV93 @ mactual )
          | ~ ( qmltpeq @ SV14 @ SV93 @ mactual )
          | ( qmltpeq @ ( power_class @ SV14 ) @ ( power_class @ SV93 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV14 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[438]) ).

thf(521,plain,
    ! [SV15: $i,SV94: $i] :
      ( ( ( ~ ( eiw_di @ SV94 @ mactual )
          | ~ ~ ( ~ ( member @ SV15 @ universal_class @ mactual )
                | ~ ( function @ SV94 @ mactual ) )
          | ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[439]) ).

thf(522,plain,
    ! [SV16: $i,SV95: $i] :
      ( ( ( ~ ( eiw_di @ SV95 @ mactual )
          | ( member @ ( unordered_pair @ SV16 @ SV95 ) @ universal_class @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV16 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[440]) ).

thf(523,plain,
    ! [SV17: $i,SV96: $i] :
      ( ( ( ~ ( eiw_di @ SV96 @ mactual )
          | ~ ( qmltpeq @ SV17 @ SV96 @ mactual )
          | ( qmltpeq @ ( range_of @ SV17 ) @ ( range_of @ SV96 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV17 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(524,plain,
    ! [SV20: $i,SV97: $i] :
      ( ( ( ~ ( eiw_di @ SV97 @ mactual )
          | ! [SY127: $i] :
              ( ~ ( eiw_di @ SY127 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY127 @ ( union @ SV20 @ SV97 ) @ mactual )
                      | ( member @ SY127 @ SV20 @ mactual )
                      | ( member @ SY127 @ SV97 @ mactual ) )
                  | ~ ( ~ ( ( member @ SY127 @ SV20 @ mactual )
                          | ( member @ SY127 @ SV97 @ mactual ) )
                      | ( member @ SY127 @ ( union @ SV20 @ SV97 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(525,plain,
    ! [SV21: $i,SV98: $i] :
      ( ( ( ~ ( eiw_di @ SV98 @ mactual )
          | ! [SY128: $i] :
              ( ~ ( eiw_di @ SY128 @ mactual )
              | ! [SY129: $i] :
                  ( ~ ( eiw_di @ SY129 @ mactual )
                  | ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
                  | ( qmltpeq @ ( restrict @ SY128 @ SY129 @ SV21 ) @ ( restrict @ SY128 @ SY129 @ SV98 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(526,plain,
    ! [SV23: $i,SV99: $i] :
      ( ( ( ~ ( eiw_di @ SV99 @ mactual )
          | ~ ( ~ ( ~ ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
                  | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                      | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                        | ~ ( subclass @ SV23 @ SV99 @ mactual ) )
                  | ( member @ SV23 @ ( power_class @ SV99 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[447]) ).

thf(527,plain,
    ! [SV24: $i,SV100: $i] :
      ( ( ( ~ ( eiw_di @ SV100 @ mactual )
          | ! [SY130: $i] :
              ( ~ ( eiw_di @ SY130 @ mactual )
              | ~ ( qmltpeq @ SV24 @ SV100 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SV24 @ SY130 ) @ ( ordered_pair @ SV100 @ SY130 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV24 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[448]) ).

thf(528,plain,
    ! [SV25: $i,SV101: $i] :
      ( ( ( ~ ( eiw_di @ SV101 @ mactual )
          | ! [SY131: $i] :
              ( ~ ( eiw_di @ SY131 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
                    | ~ ( subclass @ SV25 @ SY131 @ mactual ) )
              | ( subclass @ SV101 @ SY131 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[449]) ).

thf(529,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( eiw_di @ SV102 @ mactual )
          | ~ ( ~ ( ~ ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
                  | ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                      | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                        | ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
                  | ( member @ SV102 @ ( complement @ SV26 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(530,plain,
    ! [SV27: $i,SV103: $i] :
      ( ( ( ~ ( eiw_di @ SV103 @ mactual )
          | ! [SY132: $i] :
              ( ~ ( eiw_di @ SY132 @ mactual )
              | ~ ( qmltpeq @ SV27 @ SV103 @ mactual )
              | ( qmltpeq @ ( intersection @ SV27 @ SY132 ) @ ( intersection @ SV103 @ SY132 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV27 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(531,plain,
    ! [SV28: $i,SV104: $i] :
      ( ( ( ~ ( eiw_di @ SV104 @ mactual )
          | ! [SY133: $i] :
              ( ~ ( eiw_di @ SY133 @ mactual )
              | ~ ( qmltpeq @ SV28 @ SV104 @ mactual )
              | ( qmltpeq @ ( compose @ SV28 @ SY133 ) @ ( compose @ SV104 @ SY133 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV28 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(532,plain,
    ! [SV29: $i,SV105: $i] :
      ( ( ( ~ ( eiw_di @ SV105 @ mactual )
          | ( subclass @ ( compose @ SV105 @ SV29 ) @ ( cross_product @ universal_class @ universal_class ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV29 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(533,plain,
    ! [SV30: $i,SV106: $i] :
      ( ( ( ~ ( eiw_di @ SV106 @ mactual )
          | ~ ( qmltpeq @ SV30 @ SV106 @ mactual )
          | ( qmltpeq @ ( inverse @ SV30 ) @ ( inverse @ SV106 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV30 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[454]) ).

thf(534,plain,
    ! [SV31: $i,SV107: $i] :
      ( ( ( ~ ( eiw_di @ SV107 @ mactual )
          | ! [SY134: $i] :
              ( ~ ( eiw_di @ SY134 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
                    | ~ ( qmltpeq @ SV107 @ SY134 @ mactual ) )
              | ( qmltpeq @ SV31 @ SY134 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[455]) ).

thf(535,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( ~ ( eiw_di @ SV108 @ mactual )
          | ~ ( ~ ( ~ ( subclass @ SV32 @ SV108 @ mactual )
                  | ! [SY135: $i] :
                      ( ~ ( eiw_di @ SY135 @ mactual )
                      | ~ ( member @ SY135 @ SV32 @ mactual )
                      | ( member @ SY135 @ SV108 @ mactual ) ) )
              | ~ ( ~ ! [SY136: $i] :
                        ( ~ ( eiw_di @ SY136 @ mactual )
                        | ~ ( member @ SY136 @ SV32 @ mactual )
                        | ( member @ SY136 @ SV108 @ mactual ) )
                  | ( subclass @ SV32 @ SV108 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[456]) ).

thf(536,plain,
    ! [SV33: $i,SV109: $i] :
      ( ( ( ~ ( eiw_di @ SV109 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV33 @ SV109 @ mactual )
                | ~ ( function @ SV33 @ mactual ) )
          | ( function @ SV109 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[457]) ).

thf(537,plain,
    ! [SV34: $i,SV110: $i] :
      ( ( ( ~ ( eiw_di @ SV110 @ mactual )
          | ~ ( qmltpeq @ SV34 @ SV110 @ mactual )
          | ( qmltpeq @ ( second @ SV34 ) @ ( second @ SV110 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV34 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(538,plain,
    ! [SV35: $i,SV111: $i] :
      ( ( ( ~ ( eiw_di @ SV111 @ mactual )
          | ! [SY137: $i] :
              ( ~ ( eiw_di @ SY137 @ mactual )
              | ~ ( qmltpeq @ SV35 @ SV111 @ mactual )
              | ( qmltpeq @ ( apply @ SY137 @ SV35 ) @ ( apply @ SY137 @ SV111 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV35 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[459]) ).

thf(539,plain,
    ! [SV36: $i,SV112: $i] :
      ( ( ( ~ ( eiw_di @ SV112 @ mactual )
          | ! [SY138: $i] :
              ( ~ ( eiw_di @ SY138 @ mactual )
              | ~ ( qmltpeq @ SV36 @ SV112 @ mactual )
              | ( qmltpeq @ ( cross_product @ SY138 @ SV36 ) @ ( cross_product @ SY138 @ SV112 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV36 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[460]) ).

thf(540,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( member @ SV37 @ universal_class @ mactual ) )
        = $true )
      | ( ( member @ ( sum_class @ SV37 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV37 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[461]) ).

thf(541,plain,
    ! [SV38: $i,SV113: $i] :
      ( ( ( ~ ( eiw_di @ SV113 @ mactual )
          | ! [SY139: $i] :
              ( ~ ( eiw_di @ SY139 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
                    | ~ ( subclass @ SY139 @ SV38 @ mactual ) )
              | ( subclass @ SY139 @ SV113 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[462]) ).

thf(542,plain,
    ! [SV39: $i,SV114: $i] :
      ( ( ( ~ ( eiw_di @ SV114 @ mactual )
          | ! [SY140: $i] :
              ( ~ ( eiw_di @ SY140 @ mactual )
              | ~ ( qmltpeq @ SV39 @ SV114 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SY140 @ SV39 ) @ ( ordered_pair @ SY140 @ SV114 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV39 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(543,plain,
    ! [SV40: $i,SV115: $i] :
      ( ( ( ~ ( eiw_di @ SV115 @ mactual )
          | ! [SY141: $i] :
              ( ~ ( eiw_di @ SY141 @ mactual )
              | ~ ( qmltpeq @ SV40 @ SV115 @ mactual )
              | ( qmltpeq @ ( image @ SY141 @ SV40 ) @ ( image @ SY141 @ SV115 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV40 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[464]) ).

thf(544,plain,
    ! [SV41: $i,SV116: $i] :
      ( ( ( ~ ( eiw_di @ SV116 @ mactual )
          | ! [SY142: $i] :
              ( ~ ( eiw_di @ SY142 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
                    | ~ ( member @ SV41 @ SY142 @ mactual ) )
              | ( member @ SV116 @ SY142 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[465]) ).

thf(545,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( member @ SV42 @ universal_class @ mactual ) )
        = $true )
      | ( ( member @ ( power_class @ SV42 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV42 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[466]) ).

thf(546,plain,
    ! [SV43: $i,SV117: $i] :
      ( ( ( ~ ( eiw_di @ SV117 @ mactual )
          | ! [SY143: $i] :
              ( ~ ( eiw_di @ SY143 @ mactual )
              | ~ ( qmltpeq @ SV43 @ SV117 @ mactual )
              | ( qmltpeq @ ( intersection @ SY143 @ SV43 ) @ ( intersection @ SY143 @ SV117 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV43 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[467]) ).

thf(547,plain,
    ! [SV44: $i,SV118: $i] :
      ( ( ( ~ ( eiw_di @ SV118 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV44 @ SV118 @ mactual )
                | ~ ( inductive @ SV44 @ mactual ) )
          | ( inductive @ SV118 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(548,plain,
    ! [SV45: $i,SV119: $i] :
      ( ( ( ~ ( eiw_di @ SV119 @ mactual )
          | ! [SY144: $i] :
              ( ~ ( eiw_di @ SY144 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
                    | ~ ( disjoint @ SV45 @ SY144 @ mactual ) )
              | ( disjoint @ SV119 @ SY144 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(549,plain,
    ( ( ~ ( eiw_di @ sK2_SX0 @ mactual )
      | ~ ~ ( ~ ( function @ sK2_SX0 @ mactual )
            | ~ ! [SY115: $i] :
                  ( ~ ( eiw_di @ SY115 @ mactual )
                  | ~ ( member @ SY115 @ universal_class @ mactual )
                  | ( qmltpeq @ SY115 @ null_class @ mactual )
                  | ( member @ ( apply @ sK2_SX0 @ SY115 ) @ SY115 @ mactual ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[470]) ).

thf(550,plain,
    ! [SV47: $i,SV120: $i] :
      ( ( ( ~ ( eiw_di @ SV120 @ mactual )
          | ~ ( ~ ( ~ ( qmltpeq @ SV47 @ SV120 @ mactual )
                  | ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                      | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                        | ~ ( subclass @ SV120 @ SV47 @ mactual ) )
                  | ( qmltpeq @ SV47 @ SV120 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[472]) ).

thf(551,plain,
    ! [SV49: $i,SV121: $i] :
      ( ( ( ~ ( eiw_di @ SV121 @ mactual )
          | ~ ( qmltpeq @ SV49 @ SV121 @ mactual )
          | ( qmltpeq @ ( singleton @ SV49 ) @ ( singleton @ SV121 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV49 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[474]) ).

thf(552,plain,
    ! [SV50: $i,SV122: $i] :
      ( ( ( ~ ( eiw_di @ SV122 @ mactual )
          | ~ ( qmltpeq @ SV50 @ SV122 @ mactual )
          | ( qmltpeq @ SV122 @ SV50 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV50 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[475]) ).

thf(553,plain,
    ( ( eiw_di @ sK3_SX0 @ mactual )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[476]) ).

thf(554,plain,
    ( ( ~ ( eiw_di @ sK4_SX0 @ mactual )
      | ~ ~ ( ~ ( member @ sK4_SX0 @ universal_class @ mactual )
            | ~ ~ ( ~ ( inductive @ sK4_SX0 @ mactual )
                  | ~ ! [SY116: $i] :
                        ( ~ ( eiw_di @ SY116 @ mactual )
                        | ~ ( inductive @ SY116 @ mactual )
                        | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(555,plain,
    ! [SV51: $i,SV123: $i] :
      ( ( ( ~ ( eiw_di @ SV123 @ mactual )
          | ~ ( qmltpeq @ SV51 @ SV123 @ mactual )
          | ( qmltpeq @ ( successor @ SV51 ) @ ( successor @ SV123 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV51 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(556,plain,
    ! [SV52: $i] :
      ( ( ( member @ SV52 @ null_class @ mactual )
        = $false )
      | ( ( eiw_di @ SV52 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(557,plain,
    ! [SV53: $i,SV124: $i] :
      ( ( ( ~ ( eiw_di @ SV124 @ mactual )
          | ! [SY145: $i] :
              ( ~ ( eiw_di @ SY145 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
                    | ~ ( disjoint @ SY145 @ SV53 @ mactual ) )
              | ( disjoint @ SY145 @ SV124 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[481]) ).

thf(558,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( ~ ( function @ SV54 @ mactual )
              | ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                  | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                    | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
              | ( function @ SV54 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(559,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ( eiw_di @ SV125 @ mactual )
          | ~ ( ~ ( ~ ( disjoint @ SV55 @ SV125 @ mactual )
                  | ! [SY146: $i] :
                      ( ~ ( eiw_di @ SY146 @ mactual )
                      | ~ ~ ( ~ ( member @ SY146 @ SV55 @ mactual )
                            | ~ ( member @ SY146 @ SV125 @ mactual ) ) ) )
              | ~ ( ~ ! [SY147: $i] :
                        ( ~ ( eiw_di @ SY147 @ mactual )
                        | ~ ~ ( ~ ( member @ SY147 @ SV55 @ mactual )
                              | ~ ( member @ SY147 @ SV125 @ mactual ) ) )
                  | ( disjoint @ SV55 @ SV125 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[483]) ).

thf(560,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ( eiw_di @ SV126 @ mactual )
          | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
                  | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                      | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                            | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                        | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                              | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
                  | ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[484]) ).

thf(561,plain,
    ! [SV57: $i,SV127: $i] :
      ( ( ( ~ ( eiw_di @ SV127 @ mactual )
          | ! [SY148: $i] :
              ( ~ ( eiw_di @ SY148 @ mactual )
              | ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SY148 ) @ mactual )
                      | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                          | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                              | ( qmltpeq @ SV57 @ SY148 @ mactual ) ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                            | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                                | ( qmltpeq @ SV57 @ SY148 @ mactual ) ) )
                      | ( member @ SV57 @ ( unordered_pair @ SV127 @ SY148 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[485]) ).

thf(562,plain,
    ! [SV58: $i,SV128: $i] :
      ( ( ( ~ ( eiw_di @ SV128 @ mactual )
          | ! [SY149: $i] :
              ( ~ ( eiw_di @ SY149 @ mactual )
              | ~ ( member @ SY149 @ ( cross_product @ SV58 @ SV128 ) @ mactual )
              | ( qmltpeq @ SY149 @ ( ordered_pair @ ( first @ SY149 ) @ ( second @ SY149 ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV58 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[486]) ).

thf(563,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( ~ ( inductive @ SV59 @ mactual )
              | ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                  | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                    | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
              | ( inductive @ SV59 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(564,plain,
    ! [SV60: $i,SV129: $i] :
      ( ( ( ~ ( eiw_di @ SV129 @ mactual )
          | ! [SY150: $i] :
              ( ~ ( eiw_di @ SY150 @ mactual )
              | ! [SY151: $i] :
                  ( ~ ( eiw_di @ SY151 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( rotate @ SV60 ) @ mactual )
                          | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY150 @ SY151 ) @ SV129 ) @ SV60 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY150 @ SY151 ) @ SV129 ) @ SV60 @ mactual ) )
                          | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(565,plain,
    ! [SV61: $i,SV130: $i] :
      ( ( ( ~ ( eiw_di @ SV130 @ mactual )
          | ~ ( qmltpeq @ SV61 @ SV130 @ mactual )
          | ( qmltpeq @ ( rotate @ SV61 ) @ ( rotate @ SV130 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV61 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[489]) ).

thf(566,plain,
    ! [SV62: $i] :
      ( ( ( ~ ~ ( qmltpeq @ SV62 @ null_class @ mactual ) )
        = $true )
      | ( ( ~ ! [SY84: $i] :
                ~ ~ ( ~ ( eiw_di @ SY84 @ mactual )
                    | ~ ~ ( ~ ( member @ SY84 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SY84 @ SV62 @ mactual )
                                | ~ ( disjoint @ SY84 @ SV62 @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[490]) ).

thf(567,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ( eiw_di @ SV131 @ mactual )
          | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
                  | ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                      | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                        | ~ ( member @ SV63 @ SV131 @ mactual ) )
                  | ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[491]) ).

thf(568,plain,
    ! [SV64: $i,SV132: $i] :
      ( ( ( ~ ( eiw_di @ SV132 @ mactual )
          | ! [SY152: $i] :
              ( ~ ( eiw_di @ SY152 @ mactual )
              | ~ ( qmltpeq @ SV64 @ SV132 @ mactual )
              | ( qmltpeq @ ( unordered_pair @ SY152 @ SV64 ) @ ( unordered_pair @ SY152 @ SV132 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV64 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(569,plain,
    ! [SV66: $i,SV133: $i] :
      ( ( ( ~ ( eiw_di @ SV133 @ mactual )
          | ! [SY153: $i] :
              ( ~ ( eiw_di @ SY153 @ mactual )
              | ~ ( qmltpeq @ SV66 @ SV133 @ mactual )
              | ( qmltpeq @ ( image @ SV66 @ SY153 ) @ ( image @ SV133 @ SY153 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV66 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[494]) ).

thf(570,plain,
    ! [SV67: $i,SV134: $i] :
      ( ( ( ~ ( eiw_di @ SV134 @ mactual )
          | ! [SY154: $i] :
              ( ~ ( eiw_di @ SY154 @ mactual )
              | ~ ( qmltpeq @ SV67 @ SV134 @ mactual )
              | ( qmltpeq @ ( cross_product @ SV67 @ SY154 ) @ ( cross_product @ SV134 @ SY154 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV67 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[495]) ).

thf(571,plain,
    ! [SV68: $i,SV135: $i] :
      ( ( ( ~ ( eiw_di @ SV135 @ mactual )
          | ! [SY155: $i] :
              ( ~ ( eiw_di @ SY155 @ mactual )
              | ~ ( qmltpeq @ SV68 @ SV135 @ mactual )
              | ( qmltpeq @ ( union @ SV68 @ SY155 ) @ ( union @ SV135 @ SY155 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV68 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[496]) ).

thf(572,plain,
    ! [SV69: $i,SV136: $i] :
      ( ( ( ~ ( eiw_di @ SV136 @ mactual )
          | ! [SY156: $i] :
              ( ~ ( eiw_di @ SY156 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
                    | ~ ( member @ SY156 @ SV69 @ mactual ) )
              | ( member @ SY156 @ SV136 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(573,plain,
    ! [SV71: $i,SV137: $i] :
      ( ( ( ~ ( eiw_di @ SV137 @ mactual )
          | ( qmltpeq @ ( ordered_pair @ SV71 @ SV137 ) @ ( unordered_pair @ ( singleton @ SV71 ) @ ( unordered_pair @ SV71 @ ( singleton @ SV137 ) ) ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV71 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(574,plain,
    ! [SV72: $i,SV138: $i] :
      ( ( ( ~ ( eiw_di @ SV138 @ mactual )
          | ! [SY157: $i] :
              ( ~ ( eiw_di @ SY157 @ mactual )
              | ~ ( qmltpeq @ SV72 @ SV138 @ mactual )
              | ( qmltpeq @ ( unordered_pair @ SV72 @ SY157 ) @ ( unordered_pair @ SV138 @ SY157 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV72 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(575,plain,
    ! [SV73: $i,SV139: $i] :
      ( ( ( ~ ( eiw_di @ SV139 @ mactual )
          | ( qmltpeq @ ( image @ SV139 @ SV73 ) @ ( range_of @ ( restrict @ SV139 @ SV73 @ universal_class ) ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV73 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(576,plain,
    ! [SV74: $i,SV140: $i] :
      ( ( ( ~ ( eiw_di @ SV140 @ mactual )
          | ! [SY158: $i] :
              ( ~ ( eiw_di @ SY158 @ mactual )
              | ! [SY159: $i] :
                  ( ~ ( eiw_di @ SY159 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( flip @ SY159 ) @ mactual )
                          | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SY158 ) @ SY159 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SY158 ) @ SY159 @ mactual ) )
                          | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( flip @ SY159 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[502]) ).

thf(577,plain,
    ! [SV75: $i,SV141: $i] :
      ( ( ( ~ ( eiw_di @ SV141 @ mactual )
          | ! [SY160: $i] :
              ( ~ ( eiw_di @ SY160 @ mactual )
              | ! [SY161: $i] :
                  ( ~ ( eiw_di @ SY161 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SY160 @ SY161 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                          | ~ ( ~ ( member @ SY160 @ universal_class @ mactual )
                              | ~ ( member @ SY161 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SY160 ) ) ) @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SY160 @ universal_class @ mactual )
                                | ~ ( member @ SY161 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SY160 ) ) ) @ mactual ) )
                          | ( member @ ( ordered_pair @ SY160 @ SY161 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[503]) ).

thf(578,plain,
    ! [SV76: $i,SV142: $i] :
      ( ( ( ~ ( eiw_di @ SV142 @ mactual )
          | ! [SY162: $i] :
              ( ~ ( eiw_di @ SY162 @ mactual )
              | ! [SY163: $i] :
                  ( ~ ( eiw_di @ SY163 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SY162 @ SY163 ) @ mactual )
                          | ~ ( ~ ( member @ SV76 @ SY162 @ mactual )
                              | ~ ( member @ SV142 @ SY163 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SV76 @ SY162 @ mactual )
                                | ~ ( member @ SV142 @ SY163 @ mactual ) )
                          | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SY162 @ SY163 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(579,plain,
    ! [SV77: $i,SV143: $i] :
      ( ( ( ~ ( eiw_di @ SV143 @ mactual )
          | ~ ( qmltpeq @ SV77 @ SV143 @ mactual )
          | ( qmltpeq @ ( sum_class @ SV77 ) @ ( sum_class @ SV143 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV77 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[505]) ).

thf(580,plain,
    ! [SV78: $i,SV144: $i] :
      ( ( ( ~ ( eiw_di @ SV144 @ mactual )
          | ! [SY164: $i] :
              ( ~ ( eiw_di @ SY164 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY164 @ ( intersection @ SV78 @ SV144 ) @ mactual )
                      | ~ ( ~ ( member @ SY164 @ SV78 @ mactual )
                          | ~ ( member @ SY164 @ SV144 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY164 @ SV78 @ mactual )
                            | ~ ( member @ SY164 @ SV144 @ mactual ) )
                      | ( member @ SY164 @ ( intersection @ SV78 @ SV144 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(581,plain,
    ! [SV79: $i,SV145: $i] :
      ( ( ( ~ ( eiw_di @ SV145 @ mactual )
          | ~ ( qmltpeq @ SV79 @ SV145 @ mactual )
          | ( qmltpeq @ ( domain_of @ SV79 ) @ ( domain_of @ SV145 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV79 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(582,plain,
    ! [SV80: $i,SV146: $i] :
      ( ( ( ~ ( eiw_di @ SV146 @ mactual )
          | ~ ( qmltpeq @ SV80 @ SV146 @ mactual )
          | ( qmltpeq @ ( first @ SV80 ) @ ( first @ SV146 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV80 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[508]) ).

thf(583,plain,
    ! [SV81: $i,SV147: $i] :
      ( ( ( ~ ( eiw_di @ SV147 @ mactual )
          | ~ ( qmltpeq @ SV81 @ SV147 @ mactual )
          | ( qmltpeq @ ( flip @ SV81 ) @ ( flip @ SV147 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV81 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[509]) ).

thf(584,plain,
    ! [SV3: $i,SV83: $i] :
      ( ( ( ~ ( eiw_di @ SV83 @ mactual ) )
        = $true )
      | ( ( ! [SY117: $i] :
              ( ~ ( eiw_di @ SY117 @ mactual )
              | ! [SY118: $i] :
                  ( ~ ( eiw_di @ SY118 @ mactual )
                  | ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
                  | ( qmltpeq @ ( restrict @ SY117 @ SV3 @ SY118 ) @ ( restrict @ SY117 @ SV83 @ SY118 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[510]) ).

thf(585,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( eiw_di @ SV84 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
                  | ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                      | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                        | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
                  | ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[511]) ).

thf(586,plain,
    ! [SV5: $i,SV85: $i] :
      ( ( ( ~ ( eiw_di @ SV85 @ mactual ) )
        = $true )
      | ( ( ! [SY119: $i] :
              ( ~ ( eiw_di @ SY119 @ mactual )
              | ~ ( qmltpeq @ SV5 @ SV85 @ mactual )
              | ( qmltpeq @ ( apply @ SV5 @ SY119 ) @ ( apply @ SV85 @ SY119 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV5 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[512]) ).

thf(587,plain,
    ! [SV6: $i,SV86: $i] :
      ( ( ( ~ ( eiw_di @ SV86 @ mactual ) )
        = $true )
      | ( ( ! [SY120: $i] :
              ( ~ ( eiw_di @ SY120 @ mactual )
              | ! [SY121: $i] :
                  ( ~ ( eiw_di @ SY121 @ mactual )
                  | ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
                  | ( qmltpeq @ ( restrict @ SV6 @ SY120 @ SY121 ) @ ( restrict @ SV86 @ SY120 @ SY121 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[513]) ).

thf(588,plain,
    ! [SV7: $i,SV87: $i] :
      ( ( ( ~ ( eiw_di @ SV87 @ mactual ) )
        = $true )
      | ( ( ! [SY122: $i] :
              ( ~ ( eiw_di @ SY122 @ mactual )
              | ~ ( qmltpeq @ SV7 @ SV87 @ mactual )
              | ( qmltpeq @ ( compose @ SY122 @ SV7 ) @ ( compose @ SY122 @ SV87 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV7 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[514]) ).

thf(589,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( ~ ( eiw_di @ SV88 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
                  | ~ ! [SY123: $i] :
                        ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                            | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                                  | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) )
              | ~ ( ~ ~ ! [SY124: $i] :
                          ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                              | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                                    | ~ ( member @ SY124 @ SV88 @ mactual ) ) )
                  | ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[515]) ).

thf(590,plain,
    ! [SV9: $i,SV89: $i] :
      ( ( ( ~ ( eiw_di @ SV89 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV9 @ SV89 @ mactual )
          | ( qmltpeq @ ( complement @ SV9 ) @ ( complement @ SV89 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV9 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[516]) ).

thf(591,plain,
    ! [SV10: $i,SV90: $i] :
      ( ( ( ~ ( eiw_di @ SV90 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( apply @ SV10 @ SV90 ) @ ( sum_class @ ( image @ SV10 @ ( singleton @ SV90 ) ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV10 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[517]) ).

thf(592,plain,
    ! [SV11: $i,SV91: $i] :
      ( ( ( ~ ( eiw_di @ SV91 @ mactual ) )
        = $true )
      | ( ( ! [SY125: $i] :
              ( ~ ( eiw_di @ SY125 @ mactual )
              | ( qmltpeq @ ( restrict @ SV91 @ SV11 @ SY125 ) @ ( intersection @ SV91 @ ( cross_product @ SV11 @ SY125 ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV11 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[518]) ).

thf(593,plain,
    ! [SV13: $i,SV92: $i] :
      ( ( ( ~ ( eiw_di @ SV92 @ mactual ) )
        = $true )
      | ( ( ! [SY126: $i] :
              ( ~ ( eiw_di @ SY126 @ mactual )
              | ~ ( qmltpeq @ SV13 @ SV92 @ mactual )
              | ( qmltpeq @ ( union @ SY126 @ SV13 ) @ ( union @ SY126 @ SV92 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV13 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[519]) ).

thf(594,plain,
    ! [SV14: $i,SV93: $i] :
      ( ( ( ~ ( eiw_di @ SV93 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV14 @ SV93 @ mactual )
          | ( qmltpeq @ ( power_class @ SV14 ) @ ( power_class @ SV93 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV14 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[520]) ).

thf(595,plain,
    ! [SV15: $i,SV94: $i] :
      ( ( ( ~ ( eiw_di @ SV94 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( member @ SV15 @ universal_class @ mactual )
                | ~ ( function @ SV94 @ mactual ) )
          | ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[521]) ).

thf(596,plain,
    ! [SV16: $i,SV95: $i] :
      ( ( ( ~ ( eiw_di @ SV95 @ mactual ) )
        = $true )
      | ( ( member @ ( unordered_pair @ SV16 @ SV95 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV16 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[522]) ).

thf(597,plain,
    ! [SV17: $i,SV96: $i] :
      ( ( ( ~ ( eiw_di @ SV96 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV17 @ SV96 @ mactual )
          | ( qmltpeq @ ( range_of @ SV17 ) @ ( range_of @ SV96 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV17 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[523]) ).

thf(598,plain,
    ! [SV20: $i,SV97: $i] :
      ( ( ( ~ ( eiw_di @ SV97 @ mactual ) )
        = $true )
      | ( ( ! [SY127: $i] :
              ( ~ ( eiw_di @ SY127 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY127 @ ( union @ SV20 @ SV97 ) @ mactual )
                      | ( member @ SY127 @ SV20 @ mactual )
                      | ( member @ SY127 @ SV97 @ mactual ) )
                  | ~ ( ~ ( ( member @ SY127 @ SV20 @ mactual )
                          | ( member @ SY127 @ SV97 @ mactual ) )
                      | ( member @ SY127 @ ( union @ SV20 @ SV97 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[524]) ).

thf(599,plain,
    ! [SV21: $i,SV98: $i] :
      ( ( ( ~ ( eiw_di @ SV98 @ mactual ) )
        = $true )
      | ( ( ! [SY128: $i] :
              ( ~ ( eiw_di @ SY128 @ mactual )
              | ! [SY129: $i] :
                  ( ~ ( eiw_di @ SY129 @ mactual )
                  | ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
                  | ( qmltpeq @ ( restrict @ SY128 @ SY129 @ SV21 ) @ ( restrict @ SY128 @ SY129 @ SV98 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[525]) ).

thf(600,plain,
    ! [SV23: $i,SV99: $i] :
      ( ( ( ~ ( eiw_di @ SV99 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
                  | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                      | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                        | ~ ( subclass @ SV23 @ SV99 @ mactual ) )
                  | ( member @ SV23 @ ( power_class @ SV99 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[526]) ).

thf(601,plain,
    ! [SV24: $i,SV100: $i] :
      ( ( ( ~ ( eiw_di @ SV100 @ mactual ) )
        = $true )
      | ( ( ! [SY130: $i] :
              ( ~ ( eiw_di @ SY130 @ mactual )
              | ~ ( qmltpeq @ SV24 @ SV100 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SV24 @ SY130 ) @ ( ordered_pair @ SV100 @ SY130 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV24 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[527]) ).

thf(602,plain,
    ! [SV25: $i,SV101: $i] :
      ( ( ( ~ ( eiw_di @ SV101 @ mactual ) )
        = $true )
      | ( ( ! [SY131: $i] :
              ( ~ ( eiw_di @ SY131 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
                    | ~ ( subclass @ SV25 @ SY131 @ mactual ) )
              | ( subclass @ SV101 @ SY131 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[528]) ).

thf(603,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( eiw_di @ SV102 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
                  | ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                      | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                        | ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
                  | ( member @ SV102 @ ( complement @ SV26 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[529]) ).

thf(604,plain,
    ! [SV27: $i,SV103: $i] :
      ( ( ( ~ ( eiw_di @ SV103 @ mactual ) )
        = $true )
      | ( ( ! [SY132: $i] :
              ( ~ ( eiw_di @ SY132 @ mactual )
              | ~ ( qmltpeq @ SV27 @ SV103 @ mactual )
              | ( qmltpeq @ ( intersection @ SV27 @ SY132 ) @ ( intersection @ SV103 @ SY132 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV27 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[530]) ).

thf(605,plain,
    ! [SV28: $i,SV104: $i] :
      ( ( ( ~ ( eiw_di @ SV104 @ mactual ) )
        = $true )
      | ( ( ! [SY133: $i] :
              ( ~ ( eiw_di @ SY133 @ mactual )
              | ~ ( qmltpeq @ SV28 @ SV104 @ mactual )
              | ( qmltpeq @ ( compose @ SV28 @ SY133 ) @ ( compose @ SV104 @ SY133 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV28 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(606,plain,
    ! [SV29: $i,SV105: $i] :
      ( ( ( ~ ( eiw_di @ SV105 @ mactual ) )
        = $true )
      | ( ( subclass @ ( compose @ SV105 @ SV29 ) @ ( cross_product @ universal_class @ universal_class ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV29 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[532]) ).

thf(607,plain,
    ! [SV30: $i,SV106: $i] :
      ( ( ( ~ ( eiw_di @ SV106 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV30 @ SV106 @ mactual )
          | ( qmltpeq @ ( inverse @ SV30 ) @ ( inverse @ SV106 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV30 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[533]) ).

thf(608,plain,
    ! [SV31: $i,SV107: $i] :
      ( ( ( ~ ( eiw_di @ SV107 @ mactual ) )
        = $true )
      | ( ( ! [SY134: $i] :
              ( ~ ( eiw_di @ SY134 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
                    | ~ ( qmltpeq @ SV107 @ SY134 @ mactual ) )
              | ( qmltpeq @ SV31 @ SY134 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[534]) ).

thf(609,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( ~ ( eiw_di @ SV108 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( subclass @ SV32 @ SV108 @ mactual )
                  | ! [SY135: $i] :
                      ( ~ ( eiw_di @ SY135 @ mactual )
                      | ~ ( member @ SY135 @ SV32 @ mactual )
                      | ( member @ SY135 @ SV108 @ mactual ) ) )
              | ~ ( ~ ! [SY136: $i] :
                        ( ~ ( eiw_di @ SY136 @ mactual )
                        | ~ ( member @ SY136 @ SV32 @ mactual )
                        | ( member @ SY136 @ SV108 @ mactual ) )
                  | ( subclass @ SV32 @ SV108 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[535]) ).

thf(610,plain,
    ! [SV33: $i,SV109: $i] :
      ( ( ( ~ ( eiw_di @ SV109 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV33 @ SV109 @ mactual )
                | ~ ( function @ SV33 @ mactual ) )
          | ( function @ SV109 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[536]) ).

thf(611,plain,
    ! [SV34: $i,SV110: $i] :
      ( ( ( ~ ( eiw_di @ SV110 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV34 @ SV110 @ mactual )
          | ( qmltpeq @ ( second @ SV34 ) @ ( second @ SV110 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV34 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[537]) ).

thf(612,plain,
    ! [SV35: $i,SV111: $i] :
      ( ( ( ~ ( eiw_di @ SV111 @ mactual ) )
        = $true )
      | ( ( ! [SY137: $i] :
              ( ~ ( eiw_di @ SY137 @ mactual )
              | ~ ( qmltpeq @ SV35 @ SV111 @ mactual )
              | ( qmltpeq @ ( apply @ SY137 @ SV35 ) @ ( apply @ SY137 @ SV111 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV35 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[538]) ).

thf(613,plain,
    ! [SV36: $i,SV112: $i] :
      ( ( ( ~ ( eiw_di @ SV112 @ mactual ) )
        = $true )
      | ( ( ! [SY138: $i] :
              ( ~ ( eiw_di @ SY138 @ mactual )
              | ~ ( qmltpeq @ SV36 @ SV112 @ mactual )
              | ( qmltpeq @ ( cross_product @ SY138 @ SV36 ) @ ( cross_product @ SY138 @ SV112 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV36 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[539]) ).

thf(614,plain,
    ! [SV37: $i] :
      ( ( ( member @ SV37 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( sum_class @ SV37 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV37 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[540]) ).

thf(615,plain,
    ! [SV38: $i,SV113: $i] :
      ( ( ( ~ ( eiw_di @ SV113 @ mactual ) )
        = $true )
      | ( ( ! [SY139: $i] :
              ( ~ ( eiw_di @ SY139 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
                    | ~ ( subclass @ SY139 @ SV38 @ mactual ) )
              | ( subclass @ SY139 @ SV113 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[541]) ).

thf(616,plain,
    ! [SV39: $i,SV114: $i] :
      ( ( ( ~ ( eiw_di @ SV114 @ mactual ) )
        = $true )
      | ( ( ! [SY140: $i] :
              ( ~ ( eiw_di @ SY140 @ mactual )
              | ~ ( qmltpeq @ SV39 @ SV114 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SY140 @ SV39 ) @ ( ordered_pair @ SY140 @ SV114 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV39 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[542]) ).

thf(617,plain,
    ! [SV40: $i,SV115: $i] :
      ( ( ( ~ ( eiw_di @ SV115 @ mactual ) )
        = $true )
      | ( ( ! [SY141: $i] :
              ( ~ ( eiw_di @ SY141 @ mactual )
              | ~ ( qmltpeq @ SV40 @ SV115 @ mactual )
              | ( qmltpeq @ ( image @ SY141 @ SV40 ) @ ( image @ SY141 @ SV115 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV40 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[543]) ).

thf(618,plain,
    ! [SV41: $i,SV116: $i] :
      ( ( ( ~ ( eiw_di @ SV116 @ mactual ) )
        = $true )
      | ( ( ! [SY142: $i] :
              ( ~ ( eiw_di @ SY142 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
                    | ~ ( member @ SV41 @ SY142 @ mactual ) )
              | ( member @ SV116 @ SY142 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[544]) ).

thf(619,plain,
    ! [SV42: $i] :
      ( ( ( member @ SV42 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( power_class @ SV42 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV42 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(620,plain,
    ! [SV43: $i,SV117: $i] :
      ( ( ( ~ ( eiw_di @ SV117 @ mactual ) )
        = $true )
      | ( ( ! [SY143: $i] :
              ( ~ ( eiw_di @ SY143 @ mactual )
              | ~ ( qmltpeq @ SV43 @ SV117 @ mactual )
              | ( qmltpeq @ ( intersection @ SY143 @ SV43 ) @ ( intersection @ SY143 @ SV117 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV43 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[546]) ).

thf(621,plain,
    ! [SV44: $i,SV118: $i] :
      ( ( ( ~ ( eiw_di @ SV118 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV44 @ SV118 @ mactual )
                | ~ ( inductive @ SV44 @ mactual ) )
          | ( inductive @ SV118 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(622,plain,
    ! [SV45: $i,SV119: $i] :
      ( ( ( ~ ( eiw_di @ SV119 @ mactual ) )
        = $true )
      | ( ( ! [SY144: $i] :
              ( ~ ( eiw_di @ SY144 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
                    | ~ ( disjoint @ SV45 @ SY144 @ mactual ) )
              | ( disjoint @ SV119 @ SY144 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[548]) ).

thf(623,plain,
    ( ( ~ ( eiw_di @ sK2_SX0 @ mactual ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[549]) ).

thf(624,plain,
    ( ( ~ ~ ( ~ ( function @ sK2_SX0 @ mactual )
            | ~ ! [SY115: $i] :
                  ( ~ ( eiw_di @ SY115 @ mactual )
                  | ~ ( member @ SY115 @ universal_class @ mactual )
                  | ( qmltpeq @ SY115 @ null_class @ mactual )
                  | ( member @ ( apply @ sK2_SX0 @ SY115 ) @ SY115 @ mactual ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[549]) ).

thf(625,plain,
    ! [SV47: $i,SV120: $i] :
      ( ( ( ~ ( eiw_di @ SV120 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( qmltpeq @ SV47 @ SV120 @ mactual )
                  | ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                      | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                        | ~ ( subclass @ SV120 @ SV47 @ mactual ) )
                  | ( qmltpeq @ SV47 @ SV120 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[550]) ).

thf(626,plain,
    ! [SV49: $i,SV121: $i] :
      ( ( ( ~ ( eiw_di @ SV121 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV49 @ SV121 @ mactual )
          | ( qmltpeq @ ( singleton @ SV49 ) @ ( singleton @ SV121 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV49 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[551]) ).

thf(627,plain,
    ! [SV50: $i,SV122: $i] :
      ( ( ( ~ ( eiw_di @ SV122 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV50 @ SV122 @ mactual )
          | ( qmltpeq @ SV122 @ SV50 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV50 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[552]) ).

thf(628,plain,
    ( ( ~ ( eiw_di @ sK4_SX0 @ mactual ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[554]) ).

thf(629,plain,
    ( ( ~ ~ ( ~ ( member @ sK4_SX0 @ universal_class @ mactual )
            | ~ ~ ( ~ ( inductive @ sK4_SX0 @ mactual )
                  | ~ ! [SY116: $i] :
                        ( ~ ( eiw_di @ SY116 @ mactual )
                        | ~ ( inductive @ SY116 @ mactual )
                        | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[554]) ).

thf(630,plain,
    ! [SV51: $i,SV123: $i] :
      ( ( ( ~ ( eiw_di @ SV123 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV51 @ SV123 @ mactual )
          | ( qmltpeq @ ( successor @ SV51 ) @ ( successor @ SV123 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV51 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[555]) ).

thf(631,plain,
    ! [SV53: $i,SV124: $i] :
      ( ( ( ~ ( eiw_di @ SV124 @ mactual ) )
        = $true )
      | ( ( ! [SY145: $i] :
              ( ~ ( eiw_di @ SY145 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
                    | ~ ( disjoint @ SY145 @ SV53 @ mactual ) )
              | ( disjoint @ SY145 @ SV124 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[557]) ).

thf(632,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( ~ ( function @ SV54 @ mactual )
              | ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                  | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[558]) ).

thf(633,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                    | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
              | ( function @ SV54 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[558]) ).

thf(634,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ( eiw_di @ SV125 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( disjoint @ SV55 @ SV125 @ mactual )
                  | ! [SY146: $i] :
                      ( ~ ( eiw_di @ SY146 @ mactual )
                      | ~ ~ ( ~ ( member @ SY146 @ SV55 @ mactual )
                            | ~ ( member @ SY146 @ SV125 @ mactual ) ) ) )
              | ~ ( ~ ! [SY147: $i] :
                        ( ~ ( eiw_di @ SY147 @ mactual )
                        | ~ ~ ( ~ ( member @ SY147 @ SV55 @ mactual )
                              | ~ ( member @ SY147 @ SV125 @ mactual ) ) )
                  | ( disjoint @ SV55 @ SV125 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[559]) ).

thf(635,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ( eiw_di @ SV126 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
                  | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                      | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                            | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                        | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                              | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
                  | ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[560]) ).

thf(636,plain,
    ! [SV57: $i,SV127: $i] :
      ( ( ( ~ ( eiw_di @ SV127 @ mactual ) )
        = $true )
      | ( ( ! [SY148: $i] :
              ( ~ ( eiw_di @ SY148 @ mactual )
              | ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SY148 ) @ mactual )
                      | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                          | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                              | ( qmltpeq @ SV57 @ SY148 @ mactual ) ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                            | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                                | ( qmltpeq @ SV57 @ SY148 @ mactual ) ) )
                      | ( member @ SV57 @ ( unordered_pair @ SV127 @ SY148 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[561]) ).

thf(637,plain,
    ! [SV58: $i,SV128: $i] :
      ( ( ( ~ ( eiw_di @ SV128 @ mactual ) )
        = $true )
      | ( ( ! [SY149: $i] :
              ( ~ ( eiw_di @ SY149 @ mactual )
              | ~ ( member @ SY149 @ ( cross_product @ SV58 @ SV128 ) @ mactual )
              | ( qmltpeq @ SY149 @ ( ordered_pair @ ( first @ SY149 ) @ ( second @ SY149 ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV58 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[562]) ).

thf(638,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( ~ ( inductive @ SV59 @ mactual )
              | ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                  | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[563]) ).

thf(639,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                    | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
              | ( inductive @ SV59 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[563]) ).

thf(640,plain,
    ! [SV60: $i,SV129: $i] :
      ( ( ( ~ ( eiw_di @ SV129 @ mactual ) )
        = $true )
      | ( ( ! [SY150: $i] :
              ( ~ ( eiw_di @ SY150 @ mactual )
              | ! [SY151: $i] :
                  ( ~ ( eiw_di @ SY151 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( rotate @ SV60 ) @ mactual )
                          | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY150 @ SY151 ) @ SV129 ) @ SV60 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY150 @ SY151 ) @ SV129 ) @ SV60 @ mactual ) )
                          | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[564]) ).

thf(641,plain,
    ! [SV61: $i,SV130: $i] :
      ( ( ( ~ ( eiw_di @ SV130 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV61 @ SV130 @ mactual )
          | ( qmltpeq @ ( rotate @ SV61 ) @ ( rotate @ SV130 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV61 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[565]) ).

thf(642,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( qmltpeq @ SV62 @ null_class @ mactual ) )
        = $false )
      | ( ( ~ ! [SY84: $i] :
                ~ ~ ( ~ ( eiw_di @ SY84 @ mactual )
                    | ~ ~ ( ~ ( member @ SY84 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SY84 @ SV62 @ mactual )
                                | ~ ( disjoint @ SY84 @ SV62 @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[566]) ).

thf(643,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ( eiw_di @ SV131 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
                  | ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                      | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                        | ~ ( member @ SV63 @ SV131 @ mactual ) )
                  | ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[567]) ).

thf(644,plain,
    ! [SV64: $i,SV132: $i] :
      ( ( ( ~ ( eiw_di @ SV132 @ mactual ) )
        = $true )
      | ( ( ! [SY152: $i] :
              ( ~ ( eiw_di @ SY152 @ mactual )
              | ~ ( qmltpeq @ SV64 @ SV132 @ mactual )
              | ( qmltpeq @ ( unordered_pair @ SY152 @ SV64 ) @ ( unordered_pair @ SY152 @ SV132 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV64 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[568]) ).

thf(645,plain,
    ! [SV66: $i,SV133: $i] :
      ( ( ( ~ ( eiw_di @ SV133 @ mactual ) )
        = $true )
      | ( ( ! [SY153: $i] :
              ( ~ ( eiw_di @ SY153 @ mactual )
              | ~ ( qmltpeq @ SV66 @ SV133 @ mactual )
              | ( qmltpeq @ ( image @ SV66 @ SY153 ) @ ( image @ SV133 @ SY153 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV66 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[569]) ).

thf(646,plain,
    ! [SV67: $i,SV134: $i] :
      ( ( ( ~ ( eiw_di @ SV134 @ mactual ) )
        = $true )
      | ( ( ! [SY154: $i] :
              ( ~ ( eiw_di @ SY154 @ mactual )
              | ~ ( qmltpeq @ SV67 @ SV134 @ mactual )
              | ( qmltpeq @ ( cross_product @ SV67 @ SY154 ) @ ( cross_product @ SV134 @ SY154 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV67 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[570]) ).

thf(647,plain,
    ! [SV68: $i,SV135: $i] :
      ( ( ( ~ ( eiw_di @ SV135 @ mactual ) )
        = $true )
      | ( ( ! [SY155: $i] :
              ( ~ ( eiw_di @ SY155 @ mactual )
              | ~ ( qmltpeq @ SV68 @ SV135 @ mactual )
              | ( qmltpeq @ ( union @ SV68 @ SY155 ) @ ( union @ SV135 @ SY155 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV68 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[571]) ).

thf(648,plain,
    ! [SV69: $i,SV136: $i] :
      ( ( ( ~ ( eiw_di @ SV136 @ mactual ) )
        = $true )
      | ( ( ! [SY156: $i] :
              ( ~ ( eiw_di @ SY156 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
                    | ~ ( member @ SY156 @ SV69 @ mactual ) )
              | ( member @ SY156 @ SV136 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[572]) ).

thf(649,plain,
    ! [SV71: $i,SV137: $i] :
      ( ( ( ~ ( eiw_di @ SV137 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( ordered_pair @ SV71 @ SV137 ) @ ( unordered_pair @ ( singleton @ SV71 ) @ ( unordered_pair @ SV71 @ ( singleton @ SV137 ) ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV71 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[573]) ).

thf(650,plain,
    ! [SV72: $i,SV138: $i] :
      ( ( ( ~ ( eiw_di @ SV138 @ mactual ) )
        = $true )
      | ( ( ! [SY157: $i] :
              ( ~ ( eiw_di @ SY157 @ mactual )
              | ~ ( qmltpeq @ SV72 @ SV138 @ mactual )
              | ( qmltpeq @ ( unordered_pair @ SV72 @ SY157 ) @ ( unordered_pair @ SV138 @ SY157 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV72 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[574]) ).

thf(651,plain,
    ! [SV73: $i,SV139: $i] :
      ( ( ( ~ ( eiw_di @ SV139 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( image @ SV139 @ SV73 ) @ ( range_of @ ( restrict @ SV139 @ SV73 @ universal_class ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV73 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[575]) ).

thf(652,plain,
    ! [SV74: $i,SV140: $i] :
      ( ( ( ~ ( eiw_di @ SV140 @ mactual ) )
        = $true )
      | ( ( ! [SY158: $i] :
              ( ~ ( eiw_di @ SY158 @ mactual )
              | ! [SY159: $i] :
                  ( ~ ( eiw_di @ SY159 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( flip @ SY159 ) @ mactual )
                          | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SY158 ) @ SY159 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SY158 ) @ SY159 @ mactual ) )
                          | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( flip @ SY159 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[576]) ).

thf(653,plain,
    ! [SV75: $i,SV141: $i] :
      ( ( ( ~ ( eiw_di @ SV141 @ mactual ) )
        = $true )
      | ( ( ! [SY160: $i] :
              ( ~ ( eiw_di @ SY160 @ mactual )
              | ! [SY161: $i] :
                  ( ~ ( eiw_di @ SY161 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SY160 @ SY161 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                          | ~ ( ~ ( member @ SY160 @ universal_class @ mactual )
                              | ~ ( member @ SY161 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SY160 ) ) ) @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SY160 @ universal_class @ mactual )
                                | ~ ( member @ SY161 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SY160 ) ) ) @ mactual ) )
                          | ( member @ ( ordered_pair @ SY160 @ SY161 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[577]) ).

thf(654,plain,
    ! [SV76: $i,SV142: $i] :
      ( ( ( ~ ( eiw_di @ SV142 @ mactual ) )
        = $true )
      | ( ( ! [SY162: $i] :
              ( ~ ( eiw_di @ SY162 @ mactual )
              | ! [SY163: $i] :
                  ( ~ ( eiw_di @ SY163 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SY162 @ SY163 ) @ mactual )
                          | ~ ( ~ ( member @ SV76 @ SY162 @ mactual )
                              | ~ ( member @ SV142 @ SY163 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SV76 @ SY162 @ mactual )
                                | ~ ( member @ SV142 @ SY163 @ mactual ) )
                          | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SY162 @ SY163 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[578]) ).

thf(655,plain,
    ! [SV77: $i,SV143: $i] :
      ( ( ( ~ ( eiw_di @ SV143 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV77 @ SV143 @ mactual )
          | ( qmltpeq @ ( sum_class @ SV77 ) @ ( sum_class @ SV143 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV77 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[579]) ).

thf(656,plain,
    ! [SV78: $i,SV144: $i] :
      ( ( ( ~ ( eiw_di @ SV144 @ mactual ) )
        = $true )
      | ( ( ! [SY164: $i] :
              ( ~ ( eiw_di @ SY164 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY164 @ ( intersection @ SV78 @ SV144 ) @ mactual )
                      | ~ ( ~ ( member @ SY164 @ SV78 @ mactual )
                          | ~ ( member @ SY164 @ SV144 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY164 @ SV78 @ mactual )
                            | ~ ( member @ SY164 @ SV144 @ mactual ) )
                      | ( member @ SY164 @ ( intersection @ SV78 @ SV144 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[580]) ).

thf(657,plain,
    ! [SV79: $i,SV145: $i] :
      ( ( ( ~ ( eiw_di @ SV145 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV79 @ SV145 @ mactual )
          | ( qmltpeq @ ( domain_of @ SV79 ) @ ( domain_of @ SV145 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV79 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[581]) ).

thf(658,plain,
    ! [SV80: $i,SV146: $i] :
      ( ( ( ~ ( eiw_di @ SV146 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV80 @ SV146 @ mactual )
          | ( qmltpeq @ ( first @ SV80 ) @ ( first @ SV146 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV80 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[582]) ).

thf(659,plain,
    ! [SV81: $i,SV147: $i] :
      ( ( ( ~ ( eiw_di @ SV147 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV81 @ SV147 @ mactual )
          | ( qmltpeq @ ( flip @ SV81 ) @ ( flip @ SV147 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV81 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[583]) ).

thf(660,plain,
    ! [SV3: $i,SV83: $i] :
      ( ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( ! [SY117: $i] :
              ( ~ ( eiw_di @ SY117 @ mactual )
              | ! [SY118: $i] :
                  ( ~ ( eiw_di @ SY118 @ mactual )
                  | ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
                  | ( qmltpeq @ ( restrict @ SY117 @ SV3 @ SY118 ) @ ( restrict @ SY117 @ SV83 @ SY118 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(661,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
                  | ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                      | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                        | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
                  | ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[585]) ).

thf(662,plain,
    ! [SV5: $i,SV85: $i] :
      ( ( ( eiw_di @ SV85 @ mactual )
        = $false )
      | ( ( ! [SY119: $i] :
              ( ~ ( eiw_di @ SY119 @ mactual )
              | ~ ( qmltpeq @ SV5 @ SV85 @ mactual )
              | ( qmltpeq @ ( apply @ SV5 @ SY119 ) @ ( apply @ SV85 @ SY119 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV5 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(663,plain,
    ! [SV6: $i,SV86: $i] :
      ( ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( ! [SY120: $i] :
              ( ~ ( eiw_di @ SY120 @ mactual )
              | ! [SY121: $i] :
                  ( ~ ( eiw_di @ SY121 @ mactual )
                  | ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
                  | ( qmltpeq @ ( restrict @ SV6 @ SY120 @ SY121 ) @ ( restrict @ SV86 @ SY120 @ SY121 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[587]) ).

thf(664,plain,
    ! [SV7: $i,SV87: $i] :
      ( ( ( eiw_di @ SV87 @ mactual )
        = $false )
      | ( ( ! [SY122: $i] :
              ( ~ ( eiw_di @ SY122 @ mactual )
              | ~ ( qmltpeq @ SV7 @ SV87 @ mactual )
              | ( qmltpeq @ ( compose @ SY122 @ SV7 ) @ ( compose @ SY122 @ SV87 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV7 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[588]) ).

thf(665,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
                  | ~ ! [SY123: $i] :
                        ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                            | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                                  | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) )
              | ~ ( ~ ~ ! [SY124: $i] :
                          ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                              | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                                    | ~ ( member @ SY124 @ SV88 @ mactual ) ) )
                  | ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(666,plain,
    ! [SV9: $i,SV89: $i] :
      ( ( ( eiw_di @ SV89 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV9 @ SV89 @ mactual )
          | ( qmltpeq @ ( complement @ SV9 ) @ ( complement @ SV89 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV9 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[590]) ).

thf(667,plain,
    ! [SV10: $i,SV90: $i] :
      ( ( ( eiw_di @ SV90 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( apply @ SV10 @ SV90 ) @ ( sum_class @ ( image @ SV10 @ ( singleton @ SV90 ) ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV10 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(668,plain,
    ! [SV11: $i,SV91: $i] :
      ( ( ( eiw_di @ SV91 @ mactual )
        = $false )
      | ( ( ! [SY125: $i] :
              ( ~ ( eiw_di @ SY125 @ mactual )
              | ( qmltpeq @ ( restrict @ SV91 @ SV11 @ SY125 ) @ ( intersection @ SV91 @ ( cross_product @ SV11 @ SY125 ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV11 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(669,plain,
    ! [SV13: $i,SV92: $i] :
      ( ( ( eiw_di @ SV92 @ mactual )
        = $false )
      | ( ( ! [SY126: $i] :
              ( ~ ( eiw_di @ SY126 @ mactual )
              | ~ ( qmltpeq @ SV13 @ SV92 @ mactual )
              | ( qmltpeq @ ( union @ SY126 @ SV13 ) @ ( union @ SY126 @ SV92 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV13 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[593]) ).

thf(670,plain,
    ! [SV14: $i,SV93: $i] :
      ( ( ( eiw_di @ SV93 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV14 @ SV93 @ mactual )
          | ( qmltpeq @ ( power_class @ SV14 ) @ ( power_class @ SV93 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV14 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(671,plain,
    ! [SV15: $i,SV94: $i] :
      ( ( ( eiw_di @ SV94 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( member @ SV15 @ universal_class @ mactual )
                | ~ ( function @ SV94 @ mactual ) )
          | ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[595]) ).

thf(672,plain,
    ! [SV16: $i,SV95: $i] :
      ( ( ( eiw_di @ SV95 @ mactual )
        = $false )
      | ( ( member @ ( unordered_pair @ SV16 @ SV95 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV16 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(673,plain,
    ! [SV17: $i,SV96: $i] :
      ( ( ( eiw_di @ SV96 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV17 @ SV96 @ mactual )
          | ( qmltpeq @ ( range_of @ SV17 ) @ ( range_of @ SV96 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV17 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(674,plain,
    ! [SV20: $i,SV97: $i] :
      ( ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( ! [SY127: $i] :
              ( ~ ( eiw_di @ SY127 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY127 @ ( union @ SV20 @ SV97 ) @ mactual )
                      | ( member @ SY127 @ SV20 @ mactual )
                      | ( member @ SY127 @ SV97 @ mactual ) )
                  | ~ ( ~ ( ( member @ SY127 @ SV20 @ mactual )
                          | ( member @ SY127 @ SV97 @ mactual ) )
                      | ( member @ SY127 @ ( union @ SV20 @ SV97 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(675,plain,
    ! [SV21: $i,SV98: $i] :
      ( ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( ! [SY128: $i] :
              ( ~ ( eiw_di @ SY128 @ mactual )
              | ! [SY129: $i] :
                  ( ~ ( eiw_di @ SY129 @ mactual )
                  | ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
                  | ( qmltpeq @ ( restrict @ SY128 @ SY129 @ SV21 ) @ ( restrict @ SY128 @ SY129 @ SV98 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(676,plain,
    ! [SV23: $i,SV99: $i] :
      ( ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
                  | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                      | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                        | ~ ( subclass @ SV23 @ SV99 @ mactual ) )
                  | ( member @ SV23 @ ( power_class @ SV99 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(677,plain,
    ! [SV24: $i,SV100: $i] :
      ( ( ( eiw_di @ SV100 @ mactual )
        = $false )
      | ( ( ! [SY130: $i] :
              ( ~ ( eiw_di @ SY130 @ mactual )
              | ~ ( qmltpeq @ SV24 @ SV100 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SV24 @ SY130 ) @ ( ordered_pair @ SV100 @ SY130 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV24 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[601]) ).

thf(678,plain,
    ! [SV25: $i,SV101: $i] :
      ( ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( ! [SY131: $i] :
              ( ~ ( eiw_di @ SY131 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
                    | ~ ( subclass @ SV25 @ SY131 @ mactual ) )
              | ( subclass @ SV101 @ SY131 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(679,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
                  | ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                      | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                        | ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
                  | ( member @ SV102 @ ( complement @ SV26 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(680,plain,
    ! [SV27: $i,SV103: $i] :
      ( ( ( eiw_di @ SV103 @ mactual )
        = $false )
      | ( ( ! [SY132: $i] :
              ( ~ ( eiw_di @ SY132 @ mactual )
              | ~ ( qmltpeq @ SV27 @ SV103 @ mactual )
              | ( qmltpeq @ ( intersection @ SV27 @ SY132 ) @ ( intersection @ SV103 @ SY132 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV27 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(681,plain,
    ! [SV28: $i,SV104: $i] :
      ( ( ( eiw_di @ SV104 @ mactual )
        = $false )
      | ( ( ! [SY133: $i] :
              ( ~ ( eiw_di @ SY133 @ mactual )
              | ~ ( qmltpeq @ SV28 @ SV104 @ mactual )
              | ( qmltpeq @ ( compose @ SV28 @ SY133 ) @ ( compose @ SV104 @ SY133 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV28 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(682,plain,
    ! [SV29: $i,SV105: $i] :
      ( ( ( eiw_di @ SV105 @ mactual )
        = $false )
      | ( ( subclass @ ( compose @ SV105 @ SV29 ) @ ( cross_product @ universal_class @ universal_class ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV29 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[606]) ).

thf(683,plain,
    ! [SV30: $i,SV106: $i] :
      ( ( ( eiw_di @ SV106 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV30 @ SV106 @ mactual )
          | ( qmltpeq @ ( inverse @ SV30 ) @ ( inverse @ SV106 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV30 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[607]) ).

thf(684,plain,
    ! [SV31: $i,SV107: $i] :
      ( ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( ! [SY134: $i] :
              ( ~ ( eiw_di @ SY134 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
                    | ~ ( qmltpeq @ SV107 @ SY134 @ mactual ) )
              | ( qmltpeq @ SV31 @ SY134 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[608]) ).

thf(685,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( subclass @ SV32 @ SV108 @ mactual )
                  | ! [SY135: $i] :
                      ( ~ ( eiw_di @ SY135 @ mactual )
                      | ~ ( member @ SY135 @ SV32 @ mactual )
                      | ( member @ SY135 @ SV108 @ mactual ) ) )
              | ~ ( ~ ! [SY136: $i] :
                        ( ~ ( eiw_di @ SY136 @ mactual )
                        | ~ ( member @ SY136 @ SV32 @ mactual )
                        | ( member @ SY136 @ SV108 @ mactual ) )
                  | ( subclass @ SV32 @ SV108 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(686,plain,
    ! [SV33: $i,SV109: $i] :
      ( ( ( eiw_di @ SV109 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV33 @ SV109 @ mactual )
                | ~ ( function @ SV33 @ mactual ) )
          | ( function @ SV109 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[610]) ).

thf(687,plain,
    ! [SV34: $i,SV110: $i] :
      ( ( ( eiw_di @ SV110 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV34 @ SV110 @ mactual )
          | ( qmltpeq @ ( second @ SV34 ) @ ( second @ SV110 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV34 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[611]) ).

thf(688,plain,
    ! [SV35: $i,SV111: $i] :
      ( ( ( eiw_di @ SV111 @ mactual )
        = $false )
      | ( ( ! [SY137: $i] :
              ( ~ ( eiw_di @ SY137 @ mactual )
              | ~ ( qmltpeq @ SV35 @ SV111 @ mactual )
              | ( qmltpeq @ ( apply @ SY137 @ SV35 ) @ ( apply @ SY137 @ SV111 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV35 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[612]) ).

thf(689,plain,
    ! [SV36: $i,SV112: $i] :
      ( ( ( eiw_di @ SV112 @ mactual )
        = $false )
      | ( ( ! [SY138: $i] :
              ( ~ ( eiw_di @ SY138 @ mactual )
              | ~ ( qmltpeq @ SV36 @ SV112 @ mactual )
              | ( qmltpeq @ ( cross_product @ SY138 @ SV36 ) @ ( cross_product @ SY138 @ SV112 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV36 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(690,plain,
    ! [SV38: $i,SV113: $i] :
      ( ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( ! [SY139: $i] :
              ( ~ ( eiw_di @ SY139 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
                    | ~ ( subclass @ SY139 @ SV38 @ mactual ) )
              | ( subclass @ SY139 @ SV113 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(691,plain,
    ! [SV39: $i,SV114: $i] :
      ( ( ( eiw_di @ SV114 @ mactual )
        = $false )
      | ( ( ! [SY140: $i] :
              ( ~ ( eiw_di @ SY140 @ mactual )
              | ~ ( qmltpeq @ SV39 @ SV114 @ mactual )
              | ( qmltpeq @ ( ordered_pair @ SY140 @ SV39 ) @ ( ordered_pair @ SY140 @ SV114 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV39 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[616]) ).

thf(692,plain,
    ! [SV40: $i,SV115: $i] :
      ( ( ( eiw_di @ SV115 @ mactual )
        = $false )
      | ( ( ! [SY141: $i] :
              ( ~ ( eiw_di @ SY141 @ mactual )
              | ~ ( qmltpeq @ SV40 @ SV115 @ mactual )
              | ( qmltpeq @ ( image @ SY141 @ SV40 ) @ ( image @ SY141 @ SV115 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV40 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[617]) ).

thf(693,plain,
    ! [SV41: $i,SV116: $i] :
      ( ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( ! [SY142: $i] :
              ( ~ ( eiw_di @ SY142 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
                    | ~ ( member @ SV41 @ SY142 @ mactual ) )
              | ( member @ SV116 @ SY142 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[618]) ).

thf(694,plain,
    ! [SV43: $i,SV117: $i] :
      ( ( ( eiw_di @ SV117 @ mactual )
        = $false )
      | ( ( ! [SY143: $i] :
              ( ~ ( eiw_di @ SY143 @ mactual )
              | ~ ( qmltpeq @ SV43 @ SV117 @ mactual )
              | ( qmltpeq @ ( intersection @ SY143 @ SV43 ) @ ( intersection @ SY143 @ SV117 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV43 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[620]) ).

thf(695,plain,
    ! [SV44: $i,SV118: $i] :
      ( ( ( eiw_di @ SV118 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV44 @ SV118 @ mactual )
                | ~ ( inductive @ SV44 @ mactual ) )
          | ( inductive @ SV118 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[621]) ).

thf(696,plain,
    ! [SV45: $i,SV119: $i] :
      ( ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( ! [SY144: $i] :
              ( ~ ( eiw_di @ SY144 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
                    | ~ ( disjoint @ SV45 @ SY144 @ mactual ) )
              | ( disjoint @ SV119 @ SY144 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(697,plain,
    ( ( eiw_di @ sK2_SX0 @ mactual )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[623]) ).

thf(698,plain,
    ( ( ~ ( ~ ( function @ sK2_SX0 @ mactual )
          | ~ ! [SY115: $i] :
                ( ~ ( eiw_di @ SY115 @ mactual )
                | ~ ( member @ SY115 @ universal_class @ mactual )
                | ( qmltpeq @ SY115 @ null_class @ mactual )
                | ( member @ ( apply @ sK2_SX0 @ SY115 ) @ SY115 @ mactual ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[624]) ).

thf(699,plain,
    ! [SV47: $i,SV120: $i] :
      ( ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( qmltpeq @ SV47 @ SV120 @ mactual )
                  | ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                      | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                        | ~ ( subclass @ SV120 @ SV47 @ mactual ) )
                  | ( qmltpeq @ SV47 @ SV120 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[625]) ).

thf(700,plain,
    ! [SV49: $i,SV121: $i] :
      ( ( ( eiw_di @ SV121 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV49 @ SV121 @ mactual )
          | ( qmltpeq @ ( singleton @ SV49 ) @ ( singleton @ SV121 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV49 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[626]) ).

thf(701,plain,
    ! [SV50: $i,SV122: $i] :
      ( ( ( eiw_di @ SV122 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV50 @ SV122 @ mactual )
          | ( qmltpeq @ SV122 @ SV50 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV50 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(702,plain,
    ( ( eiw_di @ sK4_SX0 @ mactual )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[628]) ).

thf(703,plain,
    ( ( ~ ( ~ ( member @ sK4_SX0 @ universal_class @ mactual )
          | ~ ~ ( ~ ( inductive @ sK4_SX0 @ mactual )
                | ~ ! [SY116: $i] :
                      ( ~ ( eiw_di @ SY116 @ mactual )
                      | ~ ( inductive @ SY116 @ mactual )
                      | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[629]) ).

thf(704,plain,
    ! [SV51: $i,SV123: $i] :
      ( ( ( eiw_di @ SV123 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV51 @ SV123 @ mactual )
          | ( qmltpeq @ ( successor @ SV51 ) @ ( successor @ SV123 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV51 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(705,plain,
    ! [SV53: $i,SV124: $i] :
      ( ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( ! [SY145: $i] :
              ( ~ ( eiw_di @ SY145 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
                    | ~ ( disjoint @ SY145 @ SV53 @ mactual ) )
              | ( disjoint @ SY145 @ SV124 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[631]) ).

thf(706,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( function @ SV54 @ mactual )
          | ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
              | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[632]) ).

thf(707,plain,
    ! [SV54: $i] :
      ( ( ( ~ ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
          | ( function @ SV54 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[633]) ).

thf(708,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( disjoint @ SV55 @ SV125 @ mactual )
                  | ! [SY146: $i] :
                      ( ~ ( eiw_di @ SY146 @ mactual )
                      | ~ ~ ( ~ ( member @ SY146 @ SV55 @ mactual )
                            | ~ ( member @ SY146 @ SV125 @ mactual ) ) ) )
              | ~ ( ~ ! [SY147: $i] :
                        ( ~ ( eiw_di @ SY147 @ mactual )
                        | ~ ~ ( ~ ( member @ SY147 @ SV55 @ mactual )
                              | ~ ( member @ SY147 @ SV125 @ mactual ) ) )
                  | ( disjoint @ SV55 @ SV125 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(709,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
                  | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                      | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                            | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                        | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                              | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
                  | ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[635]) ).

thf(710,plain,
    ! [SV57: $i,SV127: $i] :
      ( ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( ! [SY148: $i] :
              ( ~ ( eiw_di @ SY148 @ mactual )
              | ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SY148 ) @ mactual )
                      | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                          | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                              | ( qmltpeq @ SV57 @ SY148 @ mactual ) ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                            | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                                | ( qmltpeq @ SV57 @ SY148 @ mactual ) ) )
                      | ( member @ SV57 @ ( unordered_pair @ SV127 @ SY148 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[636]) ).

thf(711,plain,
    ! [SV58: $i,SV128: $i] :
      ( ( ( eiw_di @ SV128 @ mactual )
        = $false )
      | ( ( ! [SY149: $i] :
              ( ~ ( eiw_di @ SY149 @ mactual )
              | ~ ( member @ SY149 @ ( cross_product @ SV58 @ SV128 ) @ mactual )
              | ( qmltpeq @ SY149 @ ( ordered_pair @ ( first @ SY149 ) @ ( second @ SY149 ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV58 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[637]) ).

thf(712,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( inductive @ SV59 @ mactual )
          | ~ ( ~ ( member @ null_class @ SV59 @ mactual )
              | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[638]) ).

thf(713,plain,
    ! [SV59: $i] :
      ( ( ( ~ ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
          | ( inductive @ SV59 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[639]) ).

thf(714,plain,
    ! [SV60: $i,SV129: $i] :
      ( ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( ! [SY150: $i] :
              ( ~ ( eiw_di @ SY150 @ mactual )
              | ! [SY151: $i] :
                  ( ~ ( eiw_di @ SY151 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( rotate @ SV60 ) @ mactual )
                          | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY150 @ SY151 ) @ SV129 ) @ SV60 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SY150 @ SY151 ) @ SV129 ) @ SV60 @ mactual ) )
                          | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SY150 ) @ SY151 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[640]) ).

thf(715,plain,
    ! [SV61: $i,SV130: $i] :
      ( ( ( eiw_di @ SV130 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV61 @ SV130 @ mactual )
          | ( qmltpeq @ ( rotate @ SV61 ) @ ( rotate @ SV130 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV61 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(716,plain,
    ! [SV62: $i] :
      ( ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( ~ ! [SY84: $i] :
                ~ ~ ( ~ ( eiw_di @ SY84 @ mactual )
                    | ~ ~ ( ~ ( member @ SY84 @ universal_class @ mactual )
                          | ~ ~ ( ~ ( member @ SY84 @ SV62 @ mactual )
                                | ~ ( disjoint @ SY84 @ SV62 @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[642]) ).

thf(717,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
                  | ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                      | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                        | ~ ( member @ SV63 @ SV131 @ mactual ) )
                  | ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(718,plain,
    ! [SV64: $i,SV132: $i] :
      ( ( ( eiw_di @ SV132 @ mactual )
        = $false )
      | ( ( ! [SY152: $i] :
              ( ~ ( eiw_di @ SY152 @ mactual )
              | ~ ( qmltpeq @ SV64 @ SV132 @ mactual )
              | ( qmltpeq @ ( unordered_pair @ SY152 @ SV64 ) @ ( unordered_pair @ SY152 @ SV132 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV64 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(719,plain,
    ! [SV66: $i,SV133: $i] :
      ( ( ( eiw_di @ SV133 @ mactual )
        = $false )
      | ( ( ! [SY153: $i] :
              ( ~ ( eiw_di @ SY153 @ mactual )
              | ~ ( qmltpeq @ SV66 @ SV133 @ mactual )
              | ( qmltpeq @ ( image @ SV66 @ SY153 ) @ ( image @ SV133 @ SY153 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV66 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[645]) ).

thf(720,plain,
    ! [SV67: $i,SV134: $i] :
      ( ( ( eiw_di @ SV134 @ mactual )
        = $false )
      | ( ( ! [SY154: $i] :
              ( ~ ( eiw_di @ SY154 @ mactual )
              | ~ ( qmltpeq @ SV67 @ SV134 @ mactual )
              | ( qmltpeq @ ( cross_product @ SV67 @ SY154 ) @ ( cross_product @ SV134 @ SY154 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV67 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(721,plain,
    ! [SV68: $i,SV135: $i] :
      ( ( ( eiw_di @ SV135 @ mactual )
        = $false )
      | ( ( ! [SY155: $i] :
              ( ~ ( eiw_di @ SY155 @ mactual )
              | ~ ( qmltpeq @ SV68 @ SV135 @ mactual )
              | ( qmltpeq @ ( union @ SV68 @ SY155 ) @ ( union @ SV135 @ SY155 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV68 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(722,plain,
    ! [SV69: $i,SV136: $i] :
      ( ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( ! [SY156: $i] :
              ( ~ ( eiw_di @ SY156 @ mactual )
              | ~ ~ ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
                    | ~ ( member @ SY156 @ SV69 @ mactual ) )
              | ( member @ SY156 @ SV136 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(723,plain,
    ! [SV71: $i,SV137: $i] :
      ( ( ( eiw_di @ SV137 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( ordered_pair @ SV71 @ SV137 ) @ ( unordered_pair @ ( singleton @ SV71 ) @ ( unordered_pair @ SV71 @ ( singleton @ SV137 ) ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV71 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[649]) ).

thf(724,plain,
    ! [SV72: $i,SV138: $i] :
      ( ( ( eiw_di @ SV138 @ mactual )
        = $false )
      | ( ( ! [SY157: $i] :
              ( ~ ( eiw_di @ SY157 @ mactual )
              | ~ ( qmltpeq @ SV72 @ SV138 @ mactual )
              | ( qmltpeq @ ( unordered_pair @ SV72 @ SY157 ) @ ( unordered_pair @ SV138 @ SY157 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV72 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(725,plain,
    ! [SV73: $i,SV139: $i] :
      ( ( ( eiw_di @ SV139 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( image @ SV139 @ SV73 ) @ ( range_of @ ( restrict @ SV139 @ SV73 @ universal_class ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV73 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(726,plain,
    ! [SV74: $i,SV140: $i] :
      ( ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( ! [SY158: $i] :
              ( ~ ( eiw_di @ SY158 @ mactual )
              | ! [SY159: $i] :
                  ( ~ ( eiw_di @ SY159 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( flip @ SY159 ) @ mactual )
                          | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SY158 ) @ SY159 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SY158 ) @ SY159 @ mactual ) )
                          | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SY158 ) @ ( flip @ SY159 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(727,plain,
    ! [SV75: $i,SV141: $i] :
      ( ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( ! [SY160: $i] :
              ( ~ ( eiw_di @ SY160 @ mactual )
              | ! [SY161: $i] :
                  ( ~ ( eiw_di @ SY161 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SY160 @ SY161 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                          | ~ ( ~ ( member @ SY160 @ universal_class @ mactual )
                              | ~ ( member @ SY161 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SY160 ) ) ) @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SY160 @ universal_class @ mactual )
                                | ~ ( member @ SY161 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SY160 ) ) ) @ mactual ) )
                          | ( member @ ( ordered_pair @ SY160 @ SY161 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[653]) ).

thf(728,plain,
    ! [SV76: $i,SV142: $i] :
      ( ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( ! [SY162: $i] :
              ( ~ ( eiw_di @ SY162 @ mactual )
              | ! [SY163: $i] :
                  ( ~ ( eiw_di @ SY163 @ mactual )
                  | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SY162 @ SY163 ) @ mactual )
                          | ~ ( ~ ( member @ SV76 @ SY162 @ mactual )
                              | ~ ( member @ SV142 @ SY163 @ mactual ) ) )
                      | ~ ( ~ ~ ( ~ ( member @ SV76 @ SY162 @ mactual )
                                | ~ ( member @ SV142 @ SY163 @ mactual ) )
                          | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SY162 @ SY163 ) @ mactual ) ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[654]) ).

thf(729,plain,
    ! [SV77: $i,SV143: $i] :
      ( ( ( eiw_di @ SV143 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV77 @ SV143 @ mactual )
          | ( qmltpeq @ ( sum_class @ SV77 ) @ ( sum_class @ SV143 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV77 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[655]) ).

thf(730,plain,
    ! [SV78: $i,SV144: $i] :
      ( ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( ! [SY164: $i] :
              ( ~ ( eiw_di @ SY164 @ mactual )
              | ~ ( ~ ( ~ ( member @ SY164 @ ( intersection @ SV78 @ SV144 ) @ mactual )
                      | ~ ( ~ ( member @ SY164 @ SV78 @ mactual )
                          | ~ ( member @ SY164 @ SV144 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SY164 @ SV78 @ mactual )
                            | ~ ( member @ SY164 @ SV144 @ mactual ) )
                      | ( member @ SY164 @ ( intersection @ SV78 @ SV144 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[656]) ).

thf(731,plain,
    ! [SV79: $i,SV145: $i] :
      ( ( ( eiw_di @ SV145 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV79 @ SV145 @ mactual )
          | ( qmltpeq @ ( domain_of @ SV79 ) @ ( domain_of @ SV145 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV79 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[657]) ).

thf(732,plain,
    ! [SV80: $i,SV146: $i] :
      ( ( ( eiw_di @ SV146 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV80 @ SV146 @ mactual )
          | ( qmltpeq @ ( first @ SV80 ) @ ( first @ SV146 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV80 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(733,plain,
    ! [SV81: $i,SV147: $i] :
      ( ( ( eiw_di @ SV147 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV81 @ SV147 @ mactual )
          | ( qmltpeq @ ( flip @ SV81 ) @ ( flip @ SV147 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV81 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(734,plain,
    ! [SV83: $i,SV3: $i,SV148: $i] :
      ( ( ( ~ ( eiw_di @ SV148 @ mactual )
          | ! [SY165: $i] :
              ( ~ ( eiw_di @ SY165 @ mactual )
              | ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
              | ( qmltpeq @ ( restrict @ SV148 @ SV3 @ SY165 ) @ ( restrict @ SV148 @ SV83 @ SY165 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[660]) ).

thf(735,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( ~ ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
              | ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                  | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                    | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
              | ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[661]) ).

thf(736,plain,
    ! [SV85: $i,SV5: $i,SV149: $i] :
      ( ( ( ~ ( eiw_di @ SV149 @ mactual )
          | ~ ( qmltpeq @ SV5 @ SV85 @ mactual )
          | ( qmltpeq @ ( apply @ SV5 @ SV149 ) @ ( apply @ SV85 @ SV149 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV85 @ mactual )
        = $false )
      | ( ( eiw_di @ SV5 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[662]) ).

thf(737,plain,
    ! [SV86: $i,SV6: $i,SV150: $i] :
      ( ( ( ~ ( eiw_di @ SV150 @ mactual )
          | ! [SY166: $i] :
              ( ~ ( eiw_di @ SY166 @ mactual )
              | ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
              | ( qmltpeq @ ( restrict @ SV6 @ SV150 @ SY166 ) @ ( restrict @ SV86 @ SV150 @ SY166 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[663]) ).

thf(738,plain,
    ! [SV87: $i,SV7: $i,SV151: $i] :
      ( ( ( ~ ( eiw_di @ SV151 @ mactual )
          | ~ ( qmltpeq @ SV7 @ SV87 @ mactual )
          | ( qmltpeq @ ( compose @ SV151 @ SV7 ) @ ( compose @ SV151 @ SV87 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV87 @ mactual )
        = $false )
      | ( ( eiw_di @ SV7 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[664]) ).

thf(739,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
              | ~ ! [SY123: $i] :
                    ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                        | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                              | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) )
          | ~ ( ~ ~ ! [SY124: $i] :
                      ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                          | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                                | ~ ( member @ SY124 @ SV88 @ mactual ) ) )
              | ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(740,plain,
    ! [SV89: $i,SV9: $i] :
      ( ( ( ~ ( qmltpeq @ SV9 @ SV89 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( complement @ SV9 ) @ ( complement @ SV89 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV89 @ mactual )
        = $false )
      | ( ( eiw_di @ SV9 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[666]) ).

thf(741,plain,
    ! [SV11: $i,SV91: $i,SV152: $i] :
      ( ( ( ~ ( eiw_di @ SV152 @ mactual )
          | ( qmltpeq @ ( restrict @ SV91 @ SV11 @ SV152 ) @ ( intersection @ SV91 @ ( cross_product @ SV11 @ SV152 ) ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV91 @ mactual )
        = $false )
      | ( ( eiw_di @ SV11 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[668]) ).

thf(742,plain,
    ! [SV92: $i,SV13: $i,SV153: $i] :
      ( ( ( ~ ( eiw_di @ SV153 @ mactual )
          | ~ ( qmltpeq @ SV13 @ SV92 @ mactual )
          | ( qmltpeq @ ( union @ SV153 @ SV13 ) @ ( union @ SV153 @ SV92 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV92 @ mactual )
        = $false )
      | ( ( eiw_di @ SV13 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[669]) ).

thf(743,plain,
    ! [SV93: $i,SV14: $i] :
      ( ( ( ~ ( qmltpeq @ SV14 @ SV93 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( power_class @ SV14 ) @ ( power_class @ SV93 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV93 @ mactual )
        = $false )
      | ( ( eiw_di @ SV14 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[670]) ).

thf(744,plain,
    ! [SV94: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV15 @ universal_class @ mactual )
                | ~ ( function @ SV94 @ mactual ) ) )
        = $true )
      | ( ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV94 @ mactual )
        = $false )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[671]) ).

thf(745,plain,
    ! [SV96: $i,SV17: $i] :
      ( ( ( ~ ( qmltpeq @ SV17 @ SV96 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( range_of @ SV17 ) @ ( range_of @ SV96 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV96 @ mactual )
        = $false )
      | ( ( eiw_di @ SV17 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[673]) ).

thf(746,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( eiw_di @ SV154 @ mactual )
          | ~ ( ~ ( ~ ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
                  | ( member @ SV154 @ SV20 @ mactual )
                  | ( member @ SV154 @ SV97 @ mactual ) )
              | ~ ( ~ ( ( member @ SV154 @ SV20 @ mactual )
                      | ( member @ SV154 @ SV97 @ mactual ) )
                  | ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[674]) ).

thf(747,plain,
    ! [SV98: $i,SV21: $i,SV155: $i] :
      ( ( ( ~ ( eiw_di @ SV155 @ mactual )
          | ! [SY167: $i] :
              ( ~ ( eiw_di @ SY167 @ mactual )
              | ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
              | ( qmltpeq @ ( restrict @ SV155 @ SY167 @ SV21 ) @ ( restrict @ SV155 @ SY167 @ SV98 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[675]) ).

thf(748,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( ~ ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
              | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                  | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                    | ~ ( subclass @ SV23 @ SV99 @ mactual ) )
              | ( member @ SV23 @ ( power_class @ SV99 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[676]) ).

thf(749,plain,
    ! [SV100: $i,SV24: $i,SV156: $i] :
      ( ( ( ~ ( eiw_di @ SV156 @ mactual )
          | ~ ( qmltpeq @ SV24 @ SV100 @ mactual )
          | ( qmltpeq @ ( ordered_pair @ SV24 @ SV156 ) @ ( ordered_pair @ SV100 @ SV156 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV100 @ mactual )
        = $false )
      | ( ( eiw_di @ SV24 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[677]) ).

thf(750,plain,
    ! [SV101: $i,SV25: $i,SV157: $i] :
      ( ( ( ~ ( eiw_di @ SV157 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
                | ~ ( subclass @ SV25 @ SV157 @ mactual ) )
          | ( subclass @ SV101 @ SV157 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[678]) ).

thf(751,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( ~ ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
              | ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                  | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                    | ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
              | ( member @ SV102 @ ( complement @ SV26 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(752,plain,
    ! [SV103: $i,SV27: $i,SV158: $i] :
      ( ( ( ~ ( eiw_di @ SV158 @ mactual )
          | ~ ( qmltpeq @ SV27 @ SV103 @ mactual )
          | ( qmltpeq @ ( intersection @ SV27 @ SV158 ) @ ( intersection @ SV103 @ SV158 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV103 @ mactual )
        = $false )
      | ( ( eiw_di @ SV27 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[680]) ).

thf(753,plain,
    ! [SV104: $i,SV28: $i,SV159: $i] :
      ( ( ( ~ ( eiw_di @ SV159 @ mactual )
          | ~ ( qmltpeq @ SV28 @ SV104 @ mactual )
          | ( qmltpeq @ ( compose @ SV28 @ SV159 ) @ ( compose @ SV104 @ SV159 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV104 @ mactual )
        = $false )
      | ( ( eiw_di @ SV28 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[681]) ).

thf(754,plain,
    ! [SV106: $i,SV30: $i] :
      ( ( ( ~ ( qmltpeq @ SV30 @ SV106 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( inverse @ SV30 ) @ ( inverse @ SV106 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV106 @ mactual )
        = $false )
      | ( ( eiw_di @ SV30 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[683]) ).

thf(755,plain,
    ! [SV107: $i,SV31: $i,SV160: $i] :
      ( ( ( ~ ( eiw_di @ SV160 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
                | ~ ( qmltpeq @ SV107 @ SV160 @ mactual ) )
          | ( qmltpeq @ SV31 @ SV160 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[684]) ).

thf(756,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( ~ ( ~ ( subclass @ SV32 @ SV108 @ mactual )
              | ! [SY135: $i] :
                  ( ~ ( eiw_di @ SY135 @ mactual )
                  | ~ ( member @ SY135 @ SV32 @ mactual )
                  | ( member @ SY135 @ SV108 @ mactual ) ) )
          | ~ ( ~ ! [SY136: $i] :
                    ( ~ ( eiw_di @ SY136 @ mactual )
                    | ~ ( member @ SY136 @ SV32 @ mactual )
                    | ( member @ SY136 @ SV108 @ mactual ) )
              | ( subclass @ SV32 @ SV108 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[685]) ).

thf(757,plain,
    ! [SV109: $i,SV33: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV33 @ SV109 @ mactual )
                | ~ ( function @ SV33 @ mactual ) ) )
        = $true )
      | ( ( function @ SV109 @ mactual )
        = $true )
      | ( ( eiw_di @ SV109 @ mactual )
        = $false )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[686]) ).

thf(758,plain,
    ! [SV110: $i,SV34: $i] :
      ( ( ( ~ ( qmltpeq @ SV34 @ SV110 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( second @ SV34 ) @ ( second @ SV110 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV110 @ mactual )
        = $false )
      | ( ( eiw_di @ SV34 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[687]) ).

thf(759,plain,
    ! [SV111: $i,SV35: $i,SV161: $i] :
      ( ( ( ~ ( eiw_di @ SV161 @ mactual )
          | ~ ( qmltpeq @ SV35 @ SV111 @ mactual )
          | ( qmltpeq @ ( apply @ SV161 @ SV35 ) @ ( apply @ SV161 @ SV111 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV111 @ mactual )
        = $false )
      | ( ( eiw_di @ SV35 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[688]) ).

thf(760,plain,
    ! [SV112: $i,SV36: $i,SV162: $i] :
      ( ( ( ~ ( eiw_di @ SV162 @ mactual )
          | ~ ( qmltpeq @ SV36 @ SV112 @ mactual )
          | ( qmltpeq @ ( cross_product @ SV162 @ SV36 ) @ ( cross_product @ SV162 @ SV112 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV112 @ mactual )
        = $false )
      | ( ( eiw_di @ SV36 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[689]) ).

thf(761,plain,
    ! [SV113: $i,SV38: $i,SV163: $i] :
      ( ( ( ~ ( eiw_di @ SV163 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
                | ~ ( subclass @ SV163 @ SV38 @ mactual ) )
          | ( subclass @ SV163 @ SV113 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[690]) ).

thf(762,plain,
    ! [SV114: $i,SV39: $i,SV164: $i] :
      ( ( ( ~ ( eiw_di @ SV164 @ mactual )
          | ~ ( qmltpeq @ SV39 @ SV114 @ mactual )
          | ( qmltpeq @ ( ordered_pair @ SV164 @ SV39 ) @ ( ordered_pair @ SV164 @ SV114 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV114 @ mactual )
        = $false )
      | ( ( eiw_di @ SV39 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[691]) ).

thf(763,plain,
    ! [SV115: $i,SV40: $i,SV165: $i] :
      ( ( ( ~ ( eiw_di @ SV165 @ mactual )
          | ~ ( qmltpeq @ SV40 @ SV115 @ mactual )
          | ( qmltpeq @ ( image @ SV165 @ SV40 ) @ ( image @ SV165 @ SV115 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV115 @ mactual )
        = $false )
      | ( ( eiw_di @ SV40 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[692]) ).

thf(764,plain,
    ! [SV116: $i,SV41: $i,SV166: $i] :
      ( ( ( ~ ( eiw_di @ SV166 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
                | ~ ( member @ SV41 @ SV166 @ mactual ) )
          | ( member @ SV116 @ SV166 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[693]) ).

thf(765,plain,
    ! [SV117: $i,SV43: $i,SV167: $i] :
      ( ( ( ~ ( eiw_di @ SV167 @ mactual )
          | ~ ( qmltpeq @ SV43 @ SV117 @ mactual )
          | ( qmltpeq @ ( intersection @ SV167 @ SV43 ) @ ( intersection @ SV167 @ SV117 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV117 @ mactual )
        = $false )
      | ( ( eiw_di @ SV43 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[694]) ).

thf(766,plain,
    ! [SV118: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV44 @ SV118 @ mactual )
                | ~ ( inductive @ SV44 @ mactual ) ) )
        = $true )
      | ( ( inductive @ SV118 @ mactual )
        = $true )
      | ( ( eiw_di @ SV118 @ mactual )
        = $false )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[695]) ).

thf(767,plain,
    ! [SV119: $i,SV45: $i,SV168: $i] :
      ( ( ( ~ ( eiw_di @ SV168 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
                | ~ ( disjoint @ SV45 @ SV168 @ mactual ) )
          | ( disjoint @ SV119 @ SV168 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[696]) ).

thf(768,plain,
    ( ( ~ ( function @ sK2_SX0 @ mactual )
      | ~ ! [SY115: $i] :
            ( ~ ( eiw_di @ SY115 @ mactual )
            | ~ ( member @ SY115 @ universal_class @ mactual )
            | ( qmltpeq @ SY115 @ null_class @ mactual )
            | ( member @ ( apply @ sK2_SX0 @ SY115 ) @ SY115 @ mactual ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(769,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV47 @ SV120 @ mactual )
              | ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                  | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                    | ~ ( subclass @ SV120 @ SV47 @ mactual ) )
              | ( qmltpeq @ SV47 @ SV120 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[699]) ).

thf(770,plain,
    ! [SV121: $i,SV49: $i] :
      ( ( ( ~ ( qmltpeq @ SV49 @ SV121 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( singleton @ SV49 ) @ ( singleton @ SV121 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV121 @ mactual )
        = $false )
      | ( ( eiw_di @ SV49 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[700]) ).

thf(771,plain,
    ! [SV122: $i,SV50: $i] :
      ( ( ( ~ ( qmltpeq @ SV50 @ SV122 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV122 @ SV50 @ mactual )
        = $true )
      | ( ( eiw_di @ SV122 @ mactual )
        = $false )
      | ( ( eiw_di @ SV50 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[701]) ).

thf(772,plain,
    ( ( ~ ( member @ sK4_SX0 @ universal_class @ mactual )
      | ~ ~ ( ~ ( inductive @ sK4_SX0 @ mactual )
            | ~ ! [SY116: $i] :
                  ( ~ ( eiw_di @ SY116 @ mactual )
                  | ~ ( inductive @ SY116 @ mactual )
                  | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[703]) ).

thf(773,plain,
    ! [SV123: $i,SV51: $i] :
      ( ( ( ~ ( qmltpeq @ SV51 @ SV123 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( successor @ SV51 ) @ ( successor @ SV123 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV123 @ mactual )
        = $false )
      | ( ( eiw_di @ SV51 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[704]) ).

thf(774,plain,
    ! [SV124: $i,SV53: $i,SV169: $i] :
      ( ( ( ~ ( eiw_di @ SV169 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
                | ~ ( disjoint @ SV169 @ SV53 @ mactual ) )
          | ( disjoint @ SV169 @ SV124 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[705]) ).

thf(775,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( function @ SV54 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
              | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[706]) ).

thf(776,plain,
    ! [SV54: $i] :
      ( ( ( ~ ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
                | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
        = $true )
      | ( ( function @ SV54 @ mactual )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[707]) ).

thf(777,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( ~ ( ~ ( disjoint @ SV55 @ SV125 @ mactual )
              | ! [SY146: $i] :
                  ( ~ ( eiw_di @ SY146 @ mactual )
                  | ~ ~ ( ~ ( member @ SY146 @ SV55 @ mactual )
                        | ~ ( member @ SY146 @ SV125 @ mactual ) ) ) )
          | ~ ( ~ ! [SY147: $i] :
                    ( ~ ( eiw_di @ SY147 @ mactual )
                    | ~ ~ ( ~ ( member @ SY147 @ SV55 @ mactual )
                          | ~ ( member @ SY147 @ SV125 @ mactual ) ) )
              | ( disjoint @ SV55 @ SV125 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(778,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
              | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                  | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                        | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                    | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                          | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
              | ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[709]) ).

thf(779,plain,
    ! [SV127: $i,SV57: $i,SV170: $i] :
      ( ( ( ~ ( eiw_di @ SV170 @ mactual )
          | ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
                  | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                      | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                          | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                        | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                            | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
                  | ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[710]) ).

thf(780,plain,
    ! [SV128: $i,SV58: $i,SV171: $i] :
      ( ( ( ~ ( eiw_di @ SV171 @ mactual )
          | ~ ( member @ SV171 @ ( cross_product @ SV58 @ SV128 ) @ mactual )
          | ( qmltpeq @ SV171 @ ( ordered_pair @ ( first @ SV171 ) @ ( second @ SV171 ) ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV128 @ mactual )
        = $false )
      | ( ( eiw_di @ SV58 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[711]) ).

thf(781,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( inductive @ SV59 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ null_class @ SV59 @ mactual )
              | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[712]) ).

thf(782,plain,
    ! [SV59: $i] :
      ( ( ( ~ ~ ( ~ ( member @ null_class @ SV59 @ mactual )
                | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
        = $true )
      | ( ( inductive @ SV59 @ mactual )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[713]) ).

thf(783,plain,
    ! [SV60: $i,SV129: $i,SV172: $i] :
      ( ( ( ~ ( eiw_di @ SV172 @ mactual )
          | ! [SY168: $i] :
              ( ~ ( eiw_di @ SY168 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( rotate @ SV60 ) @ mactual )
                      | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SY168 ) @ SV129 ) @ SV60 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                            | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SY168 ) @ SV129 ) @ SV60 @ mactual ) )
                      | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[714]) ).

thf(784,plain,
    ! [SV130: $i,SV61: $i] :
      ( ( ( ~ ( qmltpeq @ SV61 @ SV130 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( rotate @ SV61 ) @ ( rotate @ SV130 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV130 @ mactual )
        = $false )
      | ( ( eiw_di @ SV61 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[715]) ).

thf(785,plain,
    ! [SV62: $i] :
      ( ( ( ! [SY84: $i] :
              ~ ~ ( ~ ( eiw_di @ SY84 @ mactual )
                  | ~ ~ ( ~ ( member @ SY84 @ universal_class @ mactual )
                        | ~ ~ ( ~ ( member @ SY84 @ SV62 @ mactual )
                              | ~ ( disjoint @ SY84 @ SV62 @ mactual ) ) ) ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(786,plain,
    ! [SV131: $i,SV63: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
              | ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                  | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                    | ~ ( member @ SV63 @ SV131 @ mactual ) )
              | ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[717]) ).

thf(787,plain,
    ! [SV132: $i,SV64: $i,SV173: $i] :
      ( ( ( ~ ( eiw_di @ SV173 @ mactual )
          | ~ ( qmltpeq @ SV64 @ SV132 @ mactual )
          | ( qmltpeq @ ( unordered_pair @ SV173 @ SV64 ) @ ( unordered_pair @ SV173 @ SV132 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV132 @ mactual )
        = $false )
      | ( ( eiw_di @ SV64 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[718]) ).

thf(788,plain,
    ! [SV133: $i,SV66: $i,SV174: $i] :
      ( ( ( ~ ( eiw_di @ SV174 @ mactual )
          | ~ ( qmltpeq @ SV66 @ SV133 @ mactual )
          | ( qmltpeq @ ( image @ SV66 @ SV174 ) @ ( image @ SV133 @ SV174 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV133 @ mactual )
        = $false )
      | ( ( eiw_di @ SV66 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[719]) ).

thf(789,plain,
    ! [SV134: $i,SV67: $i,SV175: $i] :
      ( ( ( ~ ( eiw_di @ SV175 @ mactual )
          | ~ ( qmltpeq @ SV67 @ SV134 @ mactual )
          | ( qmltpeq @ ( cross_product @ SV67 @ SV175 ) @ ( cross_product @ SV134 @ SV175 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV134 @ mactual )
        = $false )
      | ( ( eiw_di @ SV67 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[720]) ).

thf(790,plain,
    ! [SV135: $i,SV68: $i,SV176: $i] :
      ( ( ( ~ ( eiw_di @ SV176 @ mactual )
          | ~ ( qmltpeq @ SV68 @ SV135 @ mactual )
          | ( qmltpeq @ ( union @ SV68 @ SV176 ) @ ( union @ SV135 @ SV176 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV135 @ mactual )
        = $false )
      | ( ( eiw_di @ SV68 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[721]) ).

thf(791,plain,
    ! [SV136: $i,SV69: $i,SV177: $i] :
      ( ( ( ~ ( eiw_di @ SV177 @ mactual )
          | ~ ~ ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
                | ~ ( member @ SV177 @ SV69 @ mactual ) )
          | ( member @ SV177 @ SV136 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[722]) ).

thf(792,plain,
    ! [SV138: $i,SV72: $i,SV178: $i] :
      ( ( ( ~ ( eiw_di @ SV178 @ mactual )
          | ~ ( qmltpeq @ SV72 @ SV138 @ mactual )
          | ( qmltpeq @ ( unordered_pair @ SV72 @ SV178 ) @ ( unordered_pair @ SV138 @ SV178 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV138 @ mactual )
        = $false )
      | ( ( eiw_di @ SV72 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[724]) ).

thf(793,plain,
    ! [SV140: $i,SV74: $i,SV179: $i] :
      ( ( ( ~ ( eiw_di @ SV179 @ mactual )
          | ! [SY169: $i] :
              ( ~ ( eiw_di @ SY169 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SY169 ) @ mactual )
                      | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SY169 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                            | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SY169 @ mactual ) )
                      | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SY169 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[726]) ).

thf(794,plain,
    ! [SV75: $i,SV141: $i,SV180: $i] :
      ( ( ( ~ ( eiw_di @ SV180 @ mactual )
          | ! [SY170: $i] :
              ( ~ ( eiw_di @ SY170 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV180 @ SY170 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                      | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                          | ~ ( member @ SY170 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                            | ~ ( member @ SY170 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
                      | ( member @ ( ordered_pair @ SV180 @ SY170 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[727]) ).

thf(795,plain,
    ! [SV142: $i,SV76: $i,SV181: $i] :
      ( ( ( ~ ( eiw_di @ SV181 @ mactual )
          | ! [SY171: $i] :
              ( ~ ( eiw_di @ SY171 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SY171 ) @ mactual )
                      | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                          | ~ ( member @ SV142 @ SY171 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                            | ~ ( member @ SV142 @ SY171 @ mactual ) )
                      | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SY171 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[728]) ).

thf(796,plain,
    ! [SV143: $i,SV77: $i] :
      ( ( ( ~ ( qmltpeq @ SV77 @ SV143 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( sum_class @ SV77 ) @ ( sum_class @ SV143 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV143 @ mactual )
        = $false )
      | ( ( eiw_di @ SV77 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[729]) ).

thf(797,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( eiw_di @ SV182 @ mactual )
          | ~ ( ~ ( ~ ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
                  | ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                      | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                        | ~ ( member @ SV182 @ SV144 @ mactual ) )
                  | ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[730]) ).

thf(798,plain,
    ! [SV145: $i,SV79: $i] :
      ( ( ( ~ ( qmltpeq @ SV79 @ SV145 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( domain_of @ SV79 ) @ ( domain_of @ SV145 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV145 @ mactual )
        = $false )
      | ( ( eiw_di @ SV79 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[731]) ).

thf(799,plain,
    ! [SV146: $i,SV80: $i] :
      ( ( ( ~ ( qmltpeq @ SV80 @ SV146 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( first @ SV80 ) @ ( first @ SV146 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV146 @ mactual )
        = $false )
      | ( ( eiw_di @ SV80 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[732]) ).

thf(800,plain,
    ! [SV147: $i,SV81: $i] :
      ( ( ( ~ ( qmltpeq @ SV81 @ SV147 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( flip @ SV81 ) @ ( flip @ SV147 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV147 @ mactual )
        = $false )
      | ( ( eiw_di @ SV81 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[733]) ).

thf(801,plain,
    ! [SV83: $i,SV3: $i,SV148: $i] :
      ( ( ( ~ ( eiw_di @ SV148 @ mactual ) )
        = $true )
      | ( ( ! [SY165: $i] :
              ( ~ ( eiw_di @ SY165 @ mactual )
              | ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
              | ( qmltpeq @ ( restrict @ SV148 @ SV3 @ SY165 ) @ ( restrict @ SV148 @ SV83 @ SY165 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[734]) ).

thf(802,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( ~ ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
              | ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                  | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[735]) ).

thf(803,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                    | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
              | ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[735]) ).

thf(804,plain,
    ! [SV85: $i,SV5: $i,SV149: $i] :
      ( ( ( ~ ( eiw_di @ SV149 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV5 @ SV85 @ mactual )
          | ( qmltpeq @ ( apply @ SV5 @ SV149 ) @ ( apply @ SV85 @ SV149 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV85 @ mactual )
        = $false )
      | ( ( eiw_di @ SV5 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[736]) ).

thf(805,plain,
    ! [SV86: $i,SV6: $i,SV150: $i] :
      ( ( ( ~ ( eiw_di @ SV150 @ mactual ) )
        = $true )
      | ( ( ! [SY166: $i] :
              ( ~ ( eiw_di @ SY166 @ mactual )
              | ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
              | ( qmltpeq @ ( restrict @ SV6 @ SV150 @ SY166 ) @ ( restrict @ SV86 @ SV150 @ SY166 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[737]) ).

thf(806,plain,
    ! [SV87: $i,SV7: $i,SV151: $i] :
      ( ( ( ~ ( eiw_di @ SV151 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV7 @ SV87 @ mactual )
          | ( qmltpeq @ ( compose @ SV151 @ SV7 ) @ ( compose @ SV151 @ SV87 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV87 @ mactual )
        = $false )
      | ( ( eiw_di @ SV7 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[738]) ).

thf(807,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
              | ~ ! [SY123: $i] :
                    ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                        | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                              | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) ) )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[739]) ).

thf(808,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ( ~ ~ ! [SY124: $i] :
                      ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                          | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                                | ~ ( member @ SY124 @ SV88 @ mactual ) ) )
              | ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[739]) ).

thf(809,plain,
    ! [SV89: $i,SV9: $i] :
      ( ( ( qmltpeq @ SV9 @ SV89 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( complement @ SV9 ) @ ( complement @ SV89 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV89 @ mactual )
        = $false )
      | ( ( eiw_di @ SV9 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[740]) ).

thf(810,plain,
    ! [SV11: $i,SV91: $i,SV152: $i] :
      ( ( ( ~ ( eiw_di @ SV152 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( restrict @ SV91 @ SV11 @ SV152 ) @ ( intersection @ SV91 @ ( cross_product @ SV11 @ SV152 ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV91 @ mactual )
        = $false )
      | ( ( eiw_di @ SV11 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[741]) ).

thf(811,plain,
    ! [SV92: $i,SV13: $i,SV153: $i] :
      ( ( ( ~ ( eiw_di @ SV153 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV13 @ SV92 @ mactual )
          | ( qmltpeq @ ( union @ SV153 @ SV13 ) @ ( union @ SV153 @ SV92 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV92 @ mactual )
        = $false )
      | ( ( eiw_di @ SV13 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[742]) ).

thf(812,plain,
    ! [SV93: $i,SV14: $i] :
      ( ( ( qmltpeq @ SV14 @ SV93 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( power_class @ SV14 ) @ ( power_class @ SV93 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV93 @ mactual )
        = $false )
      | ( ( eiw_di @ SV14 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(813,plain,
    ! [SV94: $i,SV15: $i] :
      ( ( ( ~ ( ~ ( member @ SV15 @ universal_class @ mactual )
              | ~ ( function @ SV94 @ mactual ) ) )
        = $false )
      | ( ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV94 @ mactual )
        = $false )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[744]) ).

thf(814,plain,
    ! [SV96: $i,SV17: $i] :
      ( ( ( qmltpeq @ SV17 @ SV96 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( range_of @ SV17 ) @ ( range_of @ SV96 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV96 @ mactual )
        = $false )
      | ( ( eiw_di @ SV17 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(815,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( eiw_di @ SV154 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
                  | ( member @ SV154 @ SV20 @ mactual )
                  | ( member @ SV154 @ SV97 @ mactual ) )
              | ~ ( ~ ( ( member @ SV154 @ SV20 @ mactual )
                      | ( member @ SV154 @ SV97 @ mactual ) )
                  | ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[746]) ).

thf(816,plain,
    ! [SV98: $i,SV21: $i,SV155: $i] :
      ( ( ( ~ ( eiw_di @ SV155 @ mactual ) )
        = $true )
      | ( ( ! [SY167: $i] :
              ( ~ ( eiw_di @ SY167 @ mactual )
              | ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
              | ( qmltpeq @ ( restrict @ SV155 @ SY167 @ SV21 ) @ ( restrict @ SV155 @ SY167 @ SV98 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[747]) ).

thf(817,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( ~ ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
              | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                  | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[748]) ).

thf(818,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                    | ~ ( subclass @ SV23 @ SV99 @ mactual ) )
              | ( member @ SV23 @ ( power_class @ SV99 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[748]) ).

thf(819,plain,
    ! [SV100: $i,SV24: $i,SV156: $i] :
      ( ( ( ~ ( eiw_di @ SV156 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV24 @ SV100 @ mactual )
          | ( qmltpeq @ ( ordered_pair @ SV24 @ SV156 ) @ ( ordered_pair @ SV100 @ SV156 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV100 @ mactual )
        = $false )
      | ( ( eiw_di @ SV24 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[749]) ).

thf(820,plain,
    ! [SV101: $i,SV25: $i,SV157: $i] :
      ( ( ( ~ ( eiw_di @ SV157 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
                | ~ ( subclass @ SV25 @ SV157 @ mactual ) )
          | ( subclass @ SV101 @ SV157 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[750]) ).

thf(821,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( ~ ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
              | ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                  | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[751]) ).

thf(822,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                    | ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
              | ( member @ SV102 @ ( complement @ SV26 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[751]) ).

thf(823,plain,
    ! [SV103: $i,SV27: $i,SV158: $i] :
      ( ( ( ~ ( eiw_di @ SV158 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV27 @ SV103 @ mactual )
          | ( qmltpeq @ ( intersection @ SV27 @ SV158 ) @ ( intersection @ SV103 @ SV158 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV103 @ mactual )
        = $false )
      | ( ( eiw_di @ SV27 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[752]) ).

thf(824,plain,
    ! [SV104: $i,SV28: $i,SV159: $i] :
      ( ( ( ~ ( eiw_di @ SV159 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV28 @ SV104 @ mactual )
          | ( qmltpeq @ ( compose @ SV28 @ SV159 ) @ ( compose @ SV104 @ SV159 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV104 @ mactual )
        = $false )
      | ( ( eiw_di @ SV28 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[753]) ).

thf(825,plain,
    ! [SV106: $i,SV30: $i] :
      ( ( ( qmltpeq @ SV30 @ SV106 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( inverse @ SV30 ) @ ( inverse @ SV106 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV106 @ mactual )
        = $false )
      | ( ( eiw_di @ SV30 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(826,plain,
    ! [SV107: $i,SV31: $i,SV160: $i] :
      ( ( ( ~ ( eiw_di @ SV160 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
                | ~ ( qmltpeq @ SV107 @ SV160 @ mactual ) )
          | ( qmltpeq @ SV31 @ SV160 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[755]) ).

thf(827,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( ~ ( ~ ( subclass @ SV32 @ SV108 @ mactual )
              | ! [SY135: $i] :
                  ( ~ ( eiw_di @ SY135 @ mactual )
                  | ~ ( member @ SY135 @ SV32 @ mactual )
                  | ( member @ SY135 @ SV108 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[756]) ).

thf(828,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( ~ ( ~ ! [SY136: $i] :
                    ( ~ ( eiw_di @ SY136 @ mactual )
                    | ~ ( member @ SY136 @ SV32 @ mactual )
                    | ( member @ SY136 @ SV108 @ mactual ) )
              | ( subclass @ SV32 @ SV108 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[756]) ).

thf(829,plain,
    ! [SV109: $i,SV33: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV33 @ SV109 @ mactual )
              | ~ ( function @ SV33 @ mactual ) ) )
        = $false )
      | ( ( function @ SV109 @ mactual )
        = $true )
      | ( ( eiw_di @ SV109 @ mactual )
        = $false )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[757]) ).

thf(830,plain,
    ! [SV110: $i,SV34: $i] :
      ( ( ( qmltpeq @ SV34 @ SV110 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( second @ SV34 ) @ ( second @ SV110 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV110 @ mactual )
        = $false )
      | ( ( eiw_di @ SV34 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[758]) ).

thf(831,plain,
    ! [SV111: $i,SV35: $i,SV161: $i] :
      ( ( ( ~ ( eiw_di @ SV161 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV35 @ SV111 @ mactual )
          | ( qmltpeq @ ( apply @ SV161 @ SV35 ) @ ( apply @ SV161 @ SV111 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV111 @ mactual )
        = $false )
      | ( ( eiw_di @ SV35 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[759]) ).

thf(832,plain,
    ! [SV112: $i,SV36: $i,SV162: $i] :
      ( ( ( ~ ( eiw_di @ SV162 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV36 @ SV112 @ mactual )
          | ( qmltpeq @ ( cross_product @ SV162 @ SV36 ) @ ( cross_product @ SV162 @ SV112 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV112 @ mactual )
        = $false )
      | ( ( eiw_di @ SV36 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[760]) ).

thf(833,plain,
    ! [SV113: $i,SV38: $i,SV163: $i] :
      ( ( ( ~ ( eiw_di @ SV163 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
                | ~ ( subclass @ SV163 @ SV38 @ mactual ) )
          | ( subclass @ SV163 @ SV113 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[761]) ).

thf(834,plain,
    ! [SV114: $i,SV39: $i,SV164: $i] :
      ( ( ( ~ ( eiw_di @ SV164 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV39 @ SV114 @ mactual )
          | ( qmltpeq @ ( ordered_pair @ SV164 @ SV39 ) @ ( ordered_pair @ SV164 @ SV114 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV114 @ mactual )
        = $false )
      | ( ( eiw_di @ SV39 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[762]) ).

thf(835,plain,
    ! [SV115: $i,SV40: $i,SV165: $i] :
      ( ( ( ~ ( eiw_di @ SV165 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV40 @ SV115 @ mactual )
          | ( qmltpeq @ ( image @ SV165 @ SV40 ) @ ( image @ SV165 @ SV115 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV115 @ mactual )
        = $false )
      | ( ( eiw_di @ SV40 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[763]) ).

thf(836,plain,
    ! [SV116: $i,SV41: $i,SV166: $i] :
      ( ( ( ~ ( eiw_di @ SV166 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
                | ~ ( member @ SV41 @ SV166 @ mactual ) )
          | ( member @ SV116 @ SV166 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[764]) ).

thf(837,plain,
    ! [SV117: $i,SV43: $i,SV167: $i] :
      ( ( ( ~ ( eiw_di @ SV167 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV43 @ SV117 @ mactual )
          | ( qmltpeq @ ( intersection @ SV167 @ SV43 ) @ ( intersection @ SV167 @ SV117 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV117 @ mactual )
        = $false )
      | ( ( eiw_di @ SV43 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[765]) ).

thf(838,plain,
    ! [SV118: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV44 @ SV118 @ mactual )
              | ~ ( inductive @ SV44 @ mactual ) ) )
        = $false )
      | ( ( inductive @ SV118 @ mactual )
        = $true )
      | ( ( eiw_di @ SV118 @ mactual )
        = $false )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(839,plain,
    ! [SV119: $i,SV45: $i,SV168: $i] :
      ( ( ( ~ ( eiw_di @ SV168 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
                | ~ ( disjoint @ SV45 @ SV168 @ mactual ) )
          | ( disjoint @ SV119 @ SV168 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[767]) ).

thf(840,plain,
    ( ( ~ ( function @ sK2_SX0 @ mactual ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[768]) ).

thf(841,plain,
    ( ( ~ ! [SY115: $i] :
            ( ~ ( eiw_di @ SY115 @ mactual )
            | ~ ( member @ SY115 @ universal_class @ mactual )
            | ( qmltpeq @ SY115 @ null_class @ mactual )
            | ( member @ ( apply @ sK2_SX0 @ SY115 ) @ SY115 @ mactual ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[768]) ).

thf(842,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV47 @ SV120 @ mactual )
              | ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                  | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(843,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                    | ~ ( subclass @ SV120 @ SV47 @ mactual ) )
              | ( qmltpeq @ SV47 @ SV120 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(844,plain,
    ! [SV121: $i,SV49: $i] :
      ( ( ( qmltpeq @ SV49 @ SV121 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( singleton @ SV49 ) @ ( singleton @ SV121 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV121 @ mactual )
        = $false )
      | ( ( eiw_di @ SV49 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[770]) ).

thf(845,plain,
    ! [SV122: $i,SV50: $i] :
      ( ( ( qmltpeq @ SV50 @ SV122 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV122 @ SV50 @ mactual )
        = $true )
      | ( ( eiw_di @ SV122 @ mactual )
        = $false )
      | ( ( eiw_di @ SV50 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(846,plain,
    ( ( ~ ( member @ sK4_SX0 @ universal_class @ mactual ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[772]) ).

thf(847,plain,
    ( ( ~ ~ ( ~ ( inductive @ sK4_SX0 @ mactual )
            | ~ ! [SY116: $i] :
                  ( ~ ( eiw_di @ SY116 @ mactual )
                  | ~ ( inductive @ SY116 @ mactual )
                  | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[772]) ).

thf(848,plain,
    ! [SV123: $i,SV51: $i] :
      ( ( ( qmltpeq @ SV51 @ SV123 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( successor @ SV51 ) @ ( successor @ SV123 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV123 @ mactual )
        = $false )
      | ( ( eiw_di @ SV51 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(849,plain,
    ! [SV124: $i,SV53: $i,SV169: $i] :
      ( ( ( ~ ( eiw_di @ SV169 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
                | ~ ( disjoint @ SV169 @ SV53 @ mactual ) )
          | ( disjoint @ SV169 @ SV124 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[774]) ).

thf(850,plain,
    ! [SV54: $i] :
      ( ( ( function @ SV54 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
              | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(851,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
              | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) ) )
        = $false )
      | ( ( function @ SV54 @ mactual )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[776]) ).

thf(852,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( ~ ( ~ ( disjoint @ SV55 @ SV125 @ mactual )
              | ! [SY146: $i] :
                  ( ~ ( eiw_di @ SY146 @ mactual )
                  | ~ ~ ( ~ ( member @ SY146 @ SV55 @ mactual )
                        | ~ ( member @ SY146 @ SV125 @ mactual ) ) ) ) )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[777]) ).

thf(853,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( ~ ( ~ ! [SY147: $i] :
                    ( ~ ( eiw_di @ SY147 @ mactual )
                    | ~ ~ ( ~ ( member @ SY147 @ SV55 @ mactual )
                          | ~ ( member @ SY147 @ SV125 @ mactual ) ) )
              | ( disjoint @ SV55 @ SV125 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[777]) ).

thf(854,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
              | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                  | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                        | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) ) )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[778]) ).

thf(855,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                    | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                          | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
              | ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[778]) ).

thf(856,plain,
    ! [SV127: $i,SV57: $i,SV170: $i] :
      ( ( ( ~ ( eiw_di @ SV170 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
                  | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                      | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                          | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                        | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                            | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
                  | ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[779]) ).

thf(857,plain,
    ! [SV128: $i,SV58: $i,SV171: $i] :
      ( ( ( ~ ( eiw_di @ SV171 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV171 @ ( cross_product @ SV58 @ SV128 ) @ mactual )
          | ( qmltpeq @ SV171 @ ( ordered_pair @ ( first @ SV171 ) @ ( second @ SV171 ) ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV128 @ mactual )
        = $false )
      | ( ( eiw_di @ SV58 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[780]) ).

thf(858,plain,
    ! [SV59: $i] :
      ( ( ( inductive @ SV59 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ null_class @ SV59 @ mactual )
              | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[781]) ).

thf(859,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( ~ ( member @ null_class @ SV59 @ mactual )
              | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) ) )
        = $false )
      | ( ( inductive @ SV59 @ mactual )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(860,plain,
    ! [SV60: $i,SV129: $i,SV172: $i] :
      ( ( ( ~ ( eiw_di @ SV172 @ mactual ) )
        = $true )
      | ( ( ! [SY168: $i] :
              ( ~ ( eiw_di @ SY168 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( rotate @ SV60 ) @ mactual )
                      | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SY168 ) @ SV129 ) @ SV60 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                            | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SY168 ) @ SV129 ) @ SV60 @ mactual ) )
                      | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[783]) ).

thf(861,plain,
    ! [SV130: $i,SV61: $i] :
      ( ( ( qmltpeq @ SV61 @ SV130 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( rotate @ SV61 ) @ ( rotate @ SV130 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV130 @ mactual )
        = $false )
      | ( ( eiw_di @ SV61 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[784]) ).

thf(862,plain,
    ! [SV62: $i] :
      ( ( ( ~ ~ ( ~ ( eiw_di @ ( sK5_SY84 @ SV62 ) @ mactual )
                | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ universal_class @ mactual )
                      | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
                            | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) ) ) ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[785]) ).

thf(863,plain,
    ! [SV131: $i,SV63: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
              | ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                  | ~ ( member @ SV63 @ SV131 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[786]) ).

thf(864,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                    | ~ ( member @ SV63 @ SV131 @ mactual ) )
              | ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[786]) ).

thf(865,plain,
    ! [SV132: $i,SV64: $i,SV173: $i] :
      ( ( ( ~ ( eiw_di @ SV173 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV64 @ SV132 @ mactual )
          | ( qmltpeq @ ( unordered_pair @ SV173 @ SV64 ) @ ( unordered_pair @ SV173 @ SV132 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV132 @ mactual )
        = $false )
      | ( ( eiw_di @ SV64 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[787]) ).

thf(866,plain,
    ! [SV133: $i,SV66: $i,SV174: $i] :
      ( ( ( ~ ( eiw_di @ SV174 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV66 @ SV133 @ mactual )
          | ( qmltpeq @ ( image @ SV66 @ SV174 ) @ ( image @ SV133 @ SV174 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV133 @ mactual )
        = $false )
      | ( ( eiw_di @ SV66 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[788]) ).

thf(867,plain,
    ! [SV134: $i,SV67: $i,SV175: $i] :
      ( ( ( ~ ( eiw_di @ SV175 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV67 @ SV134 @ mactual )
          | ( qmltpeq @ ( cross_product @ SV67 @ SV175 ) @ ( cross_product @ SV134 @ SV175 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV134 @ mactual )
        = $false )
      | ( ( eiw_di @ SV67 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[789]) ).

thf(868,plain,
    ! [SV135: $i,SV68: $i,SV176: $i] :
      ( ( ( ~ ( eiw_di @ SV176 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV68 @ SV135 @ mactual )
          | ( qmltpeq @ ( union @ SV68 @ SV176 ) @ ( union @ SV135 @ SV176 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV135 @ mactual )
        = $false )
      | ( ( eiw_di @ SV68 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[790]) ).

thf(869,plain,
    ! [SV136: $i,SV69: $i,SV177: $i] :
      ( ( ( ~ ( eiw_di @ SV177 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
                | ~ ( member @ SV177 @ SV69 @ mactual ) )
          | ( member @ SV177 @ SV136 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[791]) ).

thf(870,plain,
    ! [SV138: $i,SV72: $i,SV178: $i] :
      ( ( ( ~ ( eiw_di @ SV178 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV72 @ SV138 @ mactual )
          | ( qmltpeq @ ( unordered_pair @ SV72 @ SV178 ) @ ( unordered_pair @ SV138 @ SV178 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV138 @ mactual )
        = $false )
      | ( ( eiw_di @ SV72 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[792]) ).

thf(871,plain,
    ! [SV140: $i,SV74: $i,SV179: $i] :
      ( ( ( ~ ( eiw_di @ SV179 @ mactual ) )
        = $true )
      | ( ( ! [SY169: $i] :
              ( ~ ( eiw_di @ SY169 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SY169 ) @ mactual )
                      | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SY169 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                            | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SY169 @ mactual ) )
                      | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SY169 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[793]) ).

thf(872,plain,
    ! [SV75: $i,SV141: $i,SV180: $i] :
      ( ( ( ~ ( eiw_di @ SV180 @ mactual ) )
        = $true )
      | ( ( ! [SY170: $i] :
              ( ~ ( eiw_di @ SY170 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV180 @ SY170 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                      | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                          | ~ ( member @ SY170 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                            | ~ ( member @ SY170 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
                      | ( member @ ( ordered_pair @ SV180 @ SY170 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[794]) ).

thf(873,plain,
    ! [SV142: $i,SV76: $i,SV181: $i] :
      ( ( ( ~ ( eiw_di @ SV181 @ mactual ) )
        = $true )
      | ( ( ! [SY171: $i] :
              ( ~ ( eiw_di @ SY171 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SY171 ) @ mactual )
                      | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                          | ~ ( member @ SV142 @ SY171 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                            | ~ ( member @ SV142 @ SY171 @ mactual ) )
                      | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SY171 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[795]) ).

thf(874,plain,
    ! [SV143: $i,SV77: $i] :
      ( ( ( qmltpeq @ SV77 @ SV143 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( sum_class @ SV77 ) @ ( sum_class @ SV143 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV143 @ mactual )
        = $false )
      | ( ( eiw_di @ SV77 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[796]) ).

thf(875,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( eiw_di @ SV182 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
                  | ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                      | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                        | ~ ( member @ SV182 @ SV144 @ mactual ) )
                  | ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[797]) ).

thf(876,plain,
    ! [SV145: $i,SV79: $i] :
      ( ( ( qmltpeq @ SV79 @ SV145 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( domain_of @ SV79 ) @ ( domain_of @ SV145 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV145 @ mactual )
        = $false )
      | ( ( eiw_di @ SV79 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[798]) ).

thf(877,plain,
    ! [SV146: $i,SV80: $i] :
      ( ( ( qmltpeq @ SV80 @ SV146 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( first @ SV80 ) @ ( first @ SV146 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV146 @ mactual )
        = $false )
      | ( ( eiw_di @ SV80 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(878,plain,
    ! [SV147: $i,SV81: $i] :
      ( ( ( qmltpeq @ SV81 @ SV147 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( flip @ SV81 ) @ ( flip @ SV147 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV147 @ mactual )
        = $false )
      | ( ( eiw_di @ SV81 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(879,plain,
    ! [SV83: $i,SV3: $i,SV148: $i] :
      ( ( ( eiw_di @ SV148 @ mactual )
        = $false )
      | ( ( ! [SY165: $i] :
              ( ~ ( eiw_di @ SY165 @ mactual )
              | ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
              | ( qmltpeq @ ( restrict @ SV148 @ SV3 @ SY165 ) @ ( restrict @ SV148 @ SV83 @ SY165 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[801]) ).

thf(880,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
          | ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
              | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[802]) ).

thf(881,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
          | ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[803]) ).

thf(882,plain,
    ! [SV85: $i,SV5: $i,SV149: $i] :
      ( ( ( eiw_di @ SV149 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV5 @ SV85 @ mactual )
          | ( qmltpeq @ ( apply @ SV5 @ SV149 ) @ ( apply @ SV85 @ SV149 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV85 @ mactual )
        = $false )
      | ( ( eiw_di @ SV5 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[804]) ).

thf(883,plain,
    ! [SV86: $i,SV6: $i,SV150: $i] :
      ( ( ( eiw_di @ SV150 @ mactual )
        = $false )
      | ( ( ! [SY166: $i] :
              ( ~ ( eiw_di @ SY166 @ mactual )
              | ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
              | ( qmltpeq @ ( restrict @ SV6 @ SV150 @ SY166 ) @ ( restrict @ SV86 @ SV150 @ SY166 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[805]) ).

thf(884,plain,
    ! [SV87: $i,SV7: $i,SV151: $i] :
      ( ( ( eiw_di @ SV151 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV7 @ SV87 @ mactual )
          | ( qmltpeq @ ( compose @ SV151 @ SV7 ) @ ( compose @ SV151 @ SV87 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV87 @ mactual )
        = $false )
      | ( ( eiw_di @ SV7 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[806]) ).

thf(885,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
          | ~ ! [SY123: $i] :
                ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                    | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                          | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[807]) ).

thf(886,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ~ ! [SY124: $i] :
                  ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                      | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                            | ~ ( member @ SY124 @ SV88 @ mactual ) ) )
          | ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[808]) ).

thf(887,plain,
    ! [SV11: $i,SV91: $i,SV152: $i] :
      ( ( ( eiw_di @ SV152 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( restrict @ SV91 @ SV11 @ SV152 ) @ ( intersection @ SV91 @ ( cross_product @ SV11 @ SV152 ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV91 @ mactual )
        = $false )
      | ( ( eiw_di @ SV11 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[810]) ).

thf(888,plain,
    ! [SV92: $i,SV13: $i,SV153: $i] :
      ( ( ( eiw_di @ SV153 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV13 @ SV92 @ mactual )
          | ( qmltpeq @ ( union @ SV153 @ SV13 ) @ ( union @ SV153 @ SV92 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV92 @ mactual )
        = $false )
      | ( ( eiw_di @ SV13 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[811]) ).

thf(889,plain,
    ! [SV94: $i,SV15: $i] :
      ( ( ( ~ ( member @ SV15 @ universal_class @ mactual )
          | ~ ( function @ SV94 @ mactual ) )
        = $true )
      | ( ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV94 @ mactual )
        = $false )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[813]) ).

thf(890,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
                  | ( member @ SV154 @ SV20 @ mactual )
                  | ( member @ SV154 @ SV97 @ mactual ) )
              | ~ ( ~ ( ( member @ SV154 @ SV20 @ mactual )
                      | ( member @ SV154 @ SV97 @ mactual ) )
                  | ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[815]) ).

thf(891,plain,
    ! [SV98: $i,SV21: $i,SV155: $i] :
      ( ( ( eiw_di @ SV155 @ mactual )
        = $false )
      | ( ( ! [SY167: $i] :
              ( ~ ( eiw_di @ SY167 @ mactual )
              | ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
              | ( qmltpeq @ ( restrict @ SV155 @ SY167 @ SV21 ) @ ( restrict @ SV155 @ SY167 @ SV98 ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[816]) ).

thf(892,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
          | ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
              | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[817]) ).

thf(893,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                | ~ ( subclass @ SV23 @ SV99 @ mactual ) )
          | ( member @ SV23 @ ( power_class @ SV99 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[818]) ).

thf(894,plain,
    ! [SV100: $i,SV24: $i,SV156: $i] :
      ( ( ( eiw_di @ SV156 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV24 @ SV100 @ mactual )
          | ( qmltpeq @ ( ordered_pair @ SV24 @ SV156 ) @ ( ordered_pair @ SV100 @ SV156 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV100 @ mactual )
        = $false )
      | ( ( eiw_di @ SV24 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[819]) ).

thf(895,plain,
    ! [SV101: $i,SV25: $i,SV157: $i] :
      ( ( ( eiw_di @ SV157 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
                | ~ ( subclass @ SV25 @ SV157 @ mactual ) )
          | ( subclass @ SV101 @ SV157 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[820]) ).

thf(896,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
          | ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
              | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[821]) ).

thf(897,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                | ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
          | ( member @ SV102 @ ( complement @ SV26 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[822]) ).

thf(898,plain,
    ! [SV103: $i,SV27: $i,SV158: $i] :
      ( ( ( eiw_di @ SV158 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV27 @ SV103 @ mactual )
          | ( qmltpeq @ ( intersection @ SV27 @ SV158 ) @ ( intersection @ SV103 @ SV158 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV103 @ mactual )
        = $false )
      | ( ( eiw_di @ SV27 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[823]) ).

thf(899,plain,
    ! [SV104: $i,SV28: $i,SV159: $i] :
      ( ( ( eiw_di @ SV159 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV28 @ SV104 @ mactual )
          | ( qmltpeq @ ( compose @ SV28 @ SV159 ) @ ( compose @ SV104 @ SV159 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV104 @ mactual )
        = $false )
      | ( ( eiw_di @ SV28 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[824]) ).

thf(900,plain,
    ! [SV107: $i,SV31: $i,SV160: $i] :
      ( ( ( eiw_di @ SV160 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
                | ~ ( qmltpeq @ SV107 @ SV160 @ mactual ) )
          | ( qmltpeq @ SV31 @ SV160 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[826]) ).

thf(901,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( ~ ( subclass @ SV32 @ SV108 @ mactual )
          | ! [SY135: $i] :
              ( ~ ( eiw_di @ SY135 @ mactual )
              | ~ ( member @ SY135 @ SV32 @ mactual )
              | ( member @ SY135 @ SV108 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[827]) ).

thf(902,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( ~ ! [SY136: $i] :
                ( ~ ( eiw_di @ SY136 @ mactual )
                | ~ ( member @ SY136 @ SV32 @ mactual )
                | ( member @ SY136 @ SV108 @ mactual ) )
          | ( subclass @ SV32 @ SV108 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[828]) ).

thf(903,plain,
    ! [SV109: $i,SV33: $i] :
      ( ( ( ~ ( qmltpeq @ SV33 @ SV109 @ mactual )
          | ~ ( function @ SV33 @ mactual ) )
        = $true )
      | ( ( function @ SV109 @ mactual )
        = $true )
      | ( ( eiw_di @ SV109 @ mactual )
        = $false )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[829]) ).

thf(904,plain,
    ! [SV111: $i,SV35: $i,SV161: $i] :
      ( ( ( eiw_di @ SV161 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV35 @ SV111 @ mactual )
          | ( qmltpeq @ ( apply @ SV161 @ SV35 ) @ ( apply @ SV161 @ SV111 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV111 @ mactual )
        = $false )
      | ( ( eiw_di @ SV35 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(905,plain,
    ! [SV112: $i,SV36: $i,SV162: $i] :
      ( ( ( eiw_di @ SV162 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV36 @ SV112 @ mactual )
          | ( qmltpeq @ ( cross_product @ SV162 @ SV36 ) @ ( cross_product @ SV162 @ SV112 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV112 @ mactual )
        = $false )
      | ( ( eiw_di @ SV36 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[832]) ).

thf(906,plain,
    ! [SV113: $i,SV38: $i,SV163: $i] :
      ( ( ( eiw_di @ SV163 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
                | ~ ( subclass @ SV163 @ SV38 @ mactual ) )
          | ( subclass @ SV163 @ SV113 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[833]) ).

thf(907,plain,
    ! [SV114: $i,SV39: $i,SV164: $i] :
      ( ( ( eiw_di @ SV164 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV39 @ SV114 @ mactual )
          | ( qmltpeq @ ( ordered_pair @ SV164 @ SV39 ) @ ( ordered_pair @ SV164 @ SV114 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV114 @ mactual )
        = $false )
      | ( ( eiw_di @ SV39 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[834]) ).

thf(908,plain,
    ! [SV115: $i,SV40: $i,SV165: $i] :
      ( ( ( eiw_di @ SV165 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV40 @ SV115 @ mactual )
          | ( qmltpeq @ ( image @ SV165 @ SV40 ) @ ( image @ SV165 @ SV115 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV115 @ mactual )
        = $false )
      | ( ( eiw_di @ SV40 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[835]) ).

thf(909,plain,
    ! [SV116: $i,SV41: $i,SV166: $i] :
      ( ( ( eiw_di @ SV166 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
                | ~ ( member @ SV41 @ SV166 @ mactual ) )
          | ( member @ SV116 @ SV166 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(910,plain,
    ! [SV117: $i,SV43: $i,SV167: $i] :
      ( ( ( eiw_di @ SV167 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV43 @ SV117 @ mactual )
          | ( qmltpeq @ ( intersection @ SV167 @ SV43 ) @ ( intersection @ SV167 @ SV117 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV117 @ mactual )
        = $false )
      | ( ( eiw_di @ SV43 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(911,plain,
    ! [SV118: $i,SV44: $i] :
      ( ( ( ~ ( qmltpeq @ SV44 @ SV118 @ mactual )
          | ~ ( inductive @ SV44 @ mactual ) )
        = $true )
      | ( ( inductive @ SV118 @ mactual )
        = $true )
      | ( ( eiw_di @ SV118 @ mactual )
        = $false )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[838]) ).

thf(912,plain,
    ! [SV119: $i,SV45: $i,SV168: $i] :
      ( ( ( eiw_di @ SV168 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
                | ~ ( disjoint @ SV45 @ SV168 @ mactual ) )
          | ( disjoint @ SV119 @ SV168 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(913,plain,
    ( ( function @ sK2_SX0 @ mactual )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[840]) ).

thf(914,plain,
    ( ( ! [SY115: $i] :
          ( ~ ( eiw_di @ SY115 @ mactual )
          | ~ ( member @ SY115 @ universal_class @ mactual )
          | ( qmltpeq @ SY115 @ null_class @ mactual )
          | ( member @ ( apply @ sK2_SX0 @ SY115 ) @ SY115 @ mactual ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[841]) ).

thf(915,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( qmltpeq @ SV47 @ SV120 @ mactual )
          | ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
              | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[842]) ).

thf(916,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                | ~ ( subclass @ SV120 @ SV47 @ mactual ) )
          | ( qmltpeq @ SV47 @ SV120 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[843]) ).

thf(917,plain,
    ( ( member @ sK4_SX0 @ universal_class @ mactual )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[846]) ).

thf(918,plain,
    ( ( ~ ( ~ ( inductive @ sK4_SX0 @ mactual )
          | ~ ! [SY116: $i] :
                ( ~ ( eiw_di @ SY116 @ mactual )
                | ~ ( inductive @ SY116 @ mactual )
                | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[847]) ).

thf(919,plain,
    ! [SV124: $i,SV53: $i,SV169: $i] :
      ( ( ( eiw_di @ SV169 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
                | ~ ( disjoint @ SV169 @ SV53 @ mactual ) )
          | ( disjoint @ SV169 @ SV124 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[849]) ).

thf(920,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
          | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
        = $false )
      | ( ( function @ SV54 @ mactual )
        = $false )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[850]) ).

thf(921,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
          | ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
        = $true )
      | ( ( function @ SV54 @ mactual )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[851]) ).

thf(922,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( ~ ( disjoint @ SV55 @ SV125 @ mactual )
          | ! [SY146: $i] :
              ( ~ ( eiw_di @ SY146 @ mactual )
              | ~ ~ ( ~ ( member @ SY146 @ SV55 @ mactual )
                    | ~ ( member @ SY146 @ SV125 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[852]) ).

thf(923,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( ~ ! [SY147: $i] :
                ( ~ ( eiw_di @ SY147 @ mactual )
                | ~ ~ ( ~ ( member @ SY147 @ SV55 @ mactual )
                      | ~ ( member @ SY147 @ SV125 @ mactual ) ) )
          | ( disjoint @ SV55 @ SV125 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[853]) ).

thf(924,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
          | ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
              | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                    | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[854]) ).

thf(925,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                      | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
          | ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[855]) ).

thf(926,plain,
    ! [SV127: $i,SV57: $i,SV170: $i] :
      ( ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
                  | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                      | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                          | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                        | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                            | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
                  | ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[856]) ).

thf(927,plain,
    ! [SV128: $i,SV58: $i,SV171: $i] :
      ( ( ( eiw_di @ SV171 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV171 @ ( cross_product @ SV58 @ SV128 ) @ mactual )
          | ( qmltpeq @ SV171 @ ( ordered_pair @ ( first @ SV171 ) @ ( second @ SV171 ) ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV128 @ mactual )
        = $false )
      | ( ( eiw_di @ SV58 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[857]) ).

thf(928,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( member @ null_class @ SV59 @ mactual )
          | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
        = $false )
      | ( ( inductive @ SV59 @ mactual )
        = $false )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(929,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( member @ null_class @ SV59 @ mactual )
          | ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
        = $true )
      | ( ( inductive @ SV59 @ mactual )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[859]) ).

thf(930,plain,
    ! [SV60: $i,SV129: $i,SV172: $i] :
      ( ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( ! [SY168: $i] :
              ( ~ ( eiw_di @ SY168 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( rotate @ SV60 ) @ mactual )
                      | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SY168 ) @ SV129 ) @ SV60 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                            | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SY168 ) @ SV129 ) @ SV60 @ mactual ) )
                      | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SY168 ) @ ( rotate @ SV60 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[860]) ).

thf(931,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( ~ ( eiw_di @ ( sK5_SY84 @ SV62 ) @ mactual )
              | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ universal_class @ mactual )
                    | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
                          | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) ) ) ) )
        = $true )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[862]) ).

thf(932,plain,
    ! [SV131: $i,SV63: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
          | ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
              | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[863]) ).

thf(933,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                | ~ ( member @ SV63 @ SV131 @ mactual ) )
          | ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[864]) ).

thf(934,plain,
    ! [SV132: $i,SV64: $i,SV173: $i] :
      ( ( ( eiw_di @ SV173 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV64 @ SV132 @ mactual )
          | ( qmltpeq @ ( unordered_pair @ SV173 @ SV64 ) @ ( unordered_pair @ SV173 @ SV132 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV132 @ mactual )
        = $false )
      | ( ( eiw_di @ SV64 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[865]) ).

thf(935,plain,
    ! [SV133: $i,SV66: $i,SV174: $i] :
      ( ( ( eiw_di @ SV174 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV66 @ SV133 @ mactual )
          | ( qmltpeq @ ( image @ SV66 @ SV174 ) @ ( image @ SV133 @ SV174 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV133 @ mactual )
        = $false )
      | ( ( eiw_di @ SV66 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[866]) ).

thf(936,plain,
    ! [SV134: $i,SV67: $i,SV175: $i] :
      ( ( ( eiw_di @ SV175 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV67 @ SV134 @ mactual )
          | ( qmltpeq @ ( cross_product @ SV67 @ SV175 ) @ ( cross_product @ SV134 @ SV175 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV134 @ mactual )
        = $false )
      | ( ( eiw_di @ SV67 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(937,plain,
    ! [SV135: $i,SV68: $i,SV176: $i] :
      ( ( ( eiw_di @ SV176 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV68 @ SV135 @ mactual )
          | ( qmltpeq @ ( union @ SV68 @ SV176 ) @ ( union @ SV135 @ SV176 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV135 @ mactual )
        = $false )
      | ( ( eiw_di @ SV68 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(938,plain,
    ! [SV136: $i,SV69: $i,SV177: $i] :
      ( ( ( eiw_di @ SV177 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
                | ~ ( member @ SV177 @ SV69 @ mactual ) )
          | ( member @ SV177 @ SV136 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(939,plain,
    ! [SV138: $i,SV72: $i,SV178: $i] :
      ( ( ( eiw_di @ SV178 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV72 @ SV138 @ mactual )
          | ( qmltpeq @ ( unordered_pair @ SV72 @ SV178 ) @ ( unordered_pair @ SV138 @ SV178 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV138 @ mactual )
        = $false )
      | ( ( eiw_di @ SV72 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(940,plain,
    ! [SV140: $i,SV74: $i,SV179: $i] :
      ( ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( ! [SY169: $i] :
              ( ~ ( eiw_di @ SY169 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SY169 ) @ mactual )
                      | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SY169 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                            | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SY169 @ mactual ) )
                      | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SY169 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(941,plain,
    ! [SV75: $i,SV141: $i,SV180: $i] :
      ( ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( ! [SY170: $i] :
              ( ~ ( eiw_di @ SY170 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV180 @ SY170 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                      | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                          | ~ ( member @ SY170 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                            | ~ ( member @ SY170 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
                      | ( member @ ( ordered_pair @ SV180 @ SY170 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(942,plain,
    ! [SV142: $i,SV76: $i,SV181: $i] :
      ( ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( ! [SY171: $i] :
              ( ~ ( eiw_di @ SY171 @ mactual )
              | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SY171 ) @ mactual )
                      | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                          | ~ ( member @ SV142 @ SY171 @ mactual ) ) )
                  | ~ ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                            | ~ ( member @ SV142 @ SY171 @ mactual ) )
                      | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SY171 ) @ mactual ) ) ) ) )
        = $true )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(943,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
                  | ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                      | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                        | ~ ( member @ SV182 @ SV144 @ mactual ) )
                  | ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[875]) ).

thf(944,plain,
    ! [SV148: $i,SV83: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ( eiw_di @ SV183 @ mactual )
          | ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
          | ( qmltpeq @ ( restrict @ SV148 @ SV3 @ SV183 ) @ ( restrict @ SV148 @ SV83 @ SV183 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV148 @ mactual )
        = $false )
      | ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[879]) ).

thf(945,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
              | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[880]) ).

thf(946,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
                | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
        = $true )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[881]) ).

thf(947,plain,
    ! [SV149: $i,SV85: $i,SV5: $i] :
      ( ( ( ~ ( qmltpeq @ SV5 @ SV85 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( apply @ SV5 @ SV149 ) @ ( apply @ SV85 @ SV149 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV149 @ mactual )
        = $false )
      | ( ( eiw_di @ SV85 @ mactual )
        = $false )
      | ( ( eiw_di @ SV5 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[882]) ).

thf(948,plain,
    ! [SV150: $i,SV86: $i,SV6: $i,SV184: $i] :
      ( ( ( ~ ( eiw_di @ SV184 @ mactual )
          | ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
          | ( qmltpeq @ ( restrict @ SV6 @ SV150 @ SV184 ) @ ( restrict @ SV86 @ SV150 @ SV184 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV150 @ mactual )
        = $false )
      | ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[883]) ).

thf(949,plain,
    ! [SV151: $i,SV87: $i,SV7: $i] :
      ( ( ( ~ ( qmltpeq @ SV7 @ SV87 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( compose @ SV151 @ SV7 ) @ ( compose @ SV151 @ SV87 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV151 @ mactual )
        = $false )
      | ( ( eiw_di @ SV87 @ mactual )
        = $false )
      | ( ( eiw_di @ SV7 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[884]) ).

thf(950,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual ) )
        = $true )
      | ( ( ~ ! [SY123: $i] :
                ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                    | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                          | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[885]) ).

thf(951,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ~ ! [SY124: $i] :
                  ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                      | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                            | ~ ( member @ SY124 @ SV88 @ mactual ) ) ) )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[886]) ).

thf(952,plain,
    ! [SV153: $i,SV92: $i,SV13: $i] :
      ( ( ( ~ ( qmltpeq @ SV13 @ SV92 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( union @ SV153 @ SV13 ) @ ( union @ SV153 @ SV92 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV153 @ mactual )
        = $false )
      | ( ( eiw_di @ SV92 @ mactual )
        = $false )
      | ( ( eiw_di @ SV13 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[888]) ).

thf(953,plain,
    ! [SV94: $i,SV15: $i] :
      ( ( ( ~ ( member @ SV15 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ( function @ SV94 @ mactual ) )
        = $true )
      | ( ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV94 @ mactual )
        = $false )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[889]) ).

thf(954,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( ~ ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
              | ( member @ SV154 @ SV20 @ mactual )
              | ( member @ SV154 @ SV97 @ mactual ) )
          | ~ ( ~ ( ( member @ SV154 @ SV20 @ mactual )
                  | ( member @ SV154 @ SV97 @ mactual ) )
              | ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(955,plain,
    ! [SV155: $i,SV98: $i,SV21: $i,SV185: $i] :
      ( ( ( ~ ( eiw_di @ SV185 @ mactual )
          | ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
          | ( qmltpeq @ ( restrict @ SV155 @ SV185 @ SV21 ) @ ( restrict @ SV155 @ SV185 @ SV98 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV155 @ mactual )
        = $false )
      | ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[891]) ).

thf(956,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( member @ SV23 @ ( power_class @ SV99 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
              | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[892]) ).

thf(957,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
                | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
        = $true )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[893]) ).

thf(958,plain,
    ! [SV156: $i,SV100: $i,SV24: $i] :
      ( ( ( ~ ( qmltpeq @ SV24 @ SV100 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( ordered_pair @ SV24 @ SV156 ) @ ( ordered_pair @ SV100 @ SV156 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV156 @ mactual )
        = $false )
      | ( ( eiw_di @ SV100 @ mactual )
        = $false )
      | ( ( eiw_di @ SV24 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[894]) ).

thf(959,plain,
    ! [SV157: $i,SV101: $i,SV25: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
                | ~ ( subclass @ SV25 @ SV157 @ mactual ) ) )
        = $true )
      | ( ( subclass @ SV101 @ SV157 @ mactual )
        = $true )
      | ( ( eiw_di @ SV157 @ mactual )
        = $false )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[895]) ).

thf(960,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( member @ SV102 @ ( complement @ SV26 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
              | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[896]) ).

thf(961,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
                | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
        = $true )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[897]) ).

thf(962,plain,
    ! [SV158: $i,SV103: $i,SV27: $i] :
      ( ( ( ~ ( qmltpeq @ SV27 @ SV103 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( intersection @ SV27 @ SV158 ) @ ( intersection @ SV103 @ SV158 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV158 @ mactual )
        = $false )
      | ( ( eiw_di @ SV103 @ mactual )
        = $false )
      | ( ( eiw_di @ SV27 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[898]) ).

thf(963,plain,
    ! [SV159: $i,SV104: $i,SV28: $i] :
      ( ( ( ~ ( qmltpeq @ SV28 @ SV104 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( compose @ SV28 @ SV159 ) @ ( compose @ SV104 @ SV159 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV159 @ mactual )
        = $false )
      | ( ( eiw_di @ SV104 @ mactual )
        = $false )
      | ( ( eiw_di @ SV28 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[899]) ).

thf(964,plain,
    ! [SV160: $i,SV107: $i,SV31: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
                | ~ ( qmltpeq @ SV107 @ SV160 @ mactual ) ) )
        = $true )
      | ( ( qmltpeq @ SV31 @ SV160 @ mactual )
        = $true )
      | ( ( eiw_di @ SV160 @ mactual )
        = $false )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[900]) ).

thf(965,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( ~ ( subclass @ SV32 @ SV108 @ mactual ) )
        = $true )
      | ( ( ! [SY135: $i] :
              ( ~ ( eiw_di @ SY135 @ mactual )
              | ~ ( member @ SY135 @ SV32 @ mactual )
              | ( member @ SY135 @ SV108 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[901]) ).

thf(966,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( ~ ! [SY136: $i] :
                ( ~ ( eiw_di @ SY136 @ mactual )
                | ~ ( member @ SY136 @ SV32 @ mactual )
                | ( member @ SY136 @ SV108 @ mactual ) ) )
        = $true )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[902]) ).

thf(967,plain,
    ! [SV109: $i,SV33: $i] :
      ( ( ( ~ ( qmltpeq @ SV33 @ SV109 @ mactual ) )
        = $true )
      | ( ( ~ ( function @ SV33 @ mactual ) )
        = $true )
      | ( ( function @ SV109 @ mactual )
        = $true )
      | ( ( eiw_di @ SV109 @ mactual )
        = $false )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[903]) ).

thf(968,plain,
    ! [SV161: $i,SV111: $i,SV35: $i] :
      ( ( ( ~ ( qmltpeq @ SV35 @ SV111 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( apply @ SV161 @ SV35 ) @ ( apply @ SV161 @ SV111 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV161 @ mactual )
        = $false )
      | ( ( eiw_di @ SV111 @ mactual )
        = $false )
      | ( ( eiw_di @ SV35 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[904]) ).

thf(969,plain,
    ! [SV162: $i,SV112: $i,SV36: $i] :
      ( ( ( ~ ( qmltpeq @ SV36 @ SV112 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( cross_product @ SV162 @ SV36 ) @ ( cross_product @ SV162 @ SV112 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV162 @ mactual )
        = $false )
      | ( ( eiw_di @ SV112 @ mactual )
        = $false )
      | ( ( eiw_di @ SV36 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[905]) ).

thf(970,plain,
    ! [SV163: $i,SV113: $i,SV38: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
                | ~ ( subclass @ SV163 @ SV38 @ mactual ) ) )
        = $true )
      | ( ( subclass @ SV163 @ SV113 @ mactual )
        = $true )
      | ( ( eiw_di @ SV163 @ mactual )
        = $false )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[906]) ).

thf(971,plain,
    ! [SV164: $i,SV114: $i,SV39: $i] :
      ( ( ( ~ ( qmltpeq @ SV39 @ SV114 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( ordered_pair @ SV164 @ SV39 ) @ ( ordered_pair @ SV164 @ SV114 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV164 @ mactual )
        = $false )
      | ( ( eiw_di @ SV114 @ mactual )
        = $false )
      | ( ( eiw_di @ SV39 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[907]) ).

thf(972,plain,
    ! [SV165: $i,SV115: $i,SV40: $i] :
      ( ( ( ~ ( qmltpeq @ SV40 @ SV115 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( image @ SV165 @ SV40 ) @ ( image @ SV165 @ SV115 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV165 @ mactual )
        = $false )
      | ( ( eiw_di @ SV115 @ mactual )
        = $false )
      | ( ( eiw_di @ SV40 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[908]) ).

thf(973,plain,
    ! [SV166: $i,SV116: $i,SV41: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
                | ~ ( member @ SV41 @ SV166 @ mactual ) ) )
        = $true )
      | ( ( member @ SV116 @ SV166 @ mactual )
        = $true )
      | ( ( eiw_di @ SV166 @ mactual )
        = $false )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[909]) ).

thf(974,plain,
    ! [SV167: $i,SV117: $i,SV43: $i] :
      ( ( ( ~ ( qmltpeq @ SV43 @ SV117 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( intersection @ SV167 @ SV43 ) @ ( intersection @ SV167 @ SV117 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV167 @ mactual )
        = $false )
      | ( ( eiw_di @ SV117 @ mactual )
        = $false )
      | ( ( eiw_di @ SV43 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[910]) ).

thf(975,plain,
    ! [SV118: $i,SV44: $i] :
      ( ( ( ~ ( qmltpeq @ SV44 @ SV118 @ mactual ) )
        = $true )
      | ( ( ~ ( inductive @ SV44 @ mactual ) )
        = $true )
      | ( ( inductive @ SV118 @ mactual )
        = $true )
      | ( ( eiw_di @ SV118 @ mactual )
        = $false )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[911]) ).

thf(976,plain,
    ! [SV168: $i,SV119: $i,SV45: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
                | ~ ( disjoint @ SV45 @ SV168 @ mactual ) ) )
        = $true )
      | ( ( disjoint @ SV119 @ SV168 @ mactual )
        = $true )
      | ( ( eiw_di @ SV168 @ mactual )
        = $false )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[912]) ).

thf(977,plain,
    ! [SV186: $i] :
      ( ( ~ ( eiw_di @ SV186 @ mactual )
        | ~ ( member @ SV186 @ universal_class @ mactual )
        | ( qmltpeq @ SV186 @ null_class @ mactual )
        | ( member @ ( apply @ sK2_SX0 @ SV186 ) @ SV186 @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[914]) ).

thf(978,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( qmltpeq @ SV47 @ SV120 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
              | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[915]) ).

thf(979,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
                | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
        = $true )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[916]) ).

thf(980,plain,
    ( ( ~ ( inductive @ sK4_SX0 @ mactual )
      | ~ ! [SY116: $i] :
            ( ~ ( eiw_di @ SY116 @ mactual )
            | ~ ( inductive @ SY116 @ mactual )
            | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[918]) ).

thf(981,plain,
    ! [SV169: $i,SV124: $i,SV53: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
                | ~ ( disjoint @ SV169 @ SV53 @ mactual ) ) )
        = $true )
      | ( ( disjoint @ SV169 @ SV124 @ mactual )
        = $true )
      | ( ( eiw_di @ SV169 @ mactual )
        = $false )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[919]) ).

thf(982,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual ) )
        = $false )
      | ( ( function @ SV54 @ mactual )
        = $false )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[920]) ).

thf(983,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
        = $false )
      | ( ( function @ SV54 @ mactual )
        = $false )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[920]) ).

thf(984,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual ) )
        = $true )
      | ( ( ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
        = $true )
      | ( ( function @ SV54 @ mactual )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[921]) ).

thf(985,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( ~ ( disjoint @ SV55 @ SV125 @ mactual ) )
        = $true )
      | ( ( ! [SY146: $i] :
              ( ~ ( eiw_di @ SY146 @ mactual )
              | ~ ~ ( ~ ( member @ SY146 @ SV55 @ mactual )
                    | ~ ( member @ SY146 @ SV125 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[922]) ).

thf(986,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( ~ ! [SY147: $i] :
                ( ~ ( eiw_di @ SY147 @ mactual )
                | ~ ~ ( ~ ( member @ SY147 @ SV55 @ mactual )
                      | ~ ( member @ SY147 @ SV125 @ mactual ) ) ) )
        = $true )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[923]) ).

thf(987,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
              | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                    | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[924]) ).

thf(988,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
                | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                      | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[925]) ).

thf(989,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
              | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                  | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                      | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                    | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                        | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
              | ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(990,plain,
    ! [SV128: $i,SV58: $i,SV171: $i] :
      ( ( ( ~ ( member @ SV171 @ ( cross_product @ SV58 @ SV128 ) @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV171 @ ( ordered_pair @ ( first @ SV171 ) @ ( second @ SV171 ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV171 @ mactual )
        = $false )
      | ( ( eiw_di @ SV128 @ mactual )
        = $false )
      | ( ( eiw_di @ SV58 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[927]) ).

thf(991,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( member @ null_class @ SV59 @ mactual ) )
        = $false )
      | ( ( inductive @ SV59 @ mactual )
        = $false )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[928]) ).

thf(992,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
        = $false )
      | ( ( inductive @ SV59 @ mactual )
        = $false )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[928]) ).

thf(993,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( member @ null_class @ SV59 @ mactual ) )
        = $true )
      | ( ( ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
        = $true )
      | ( ( inductive @ SV59 @ mactual )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[929]) ).

thf(994,plain,
    ! [SV60: $i,SV172: $i,SV129: $i,SV187: $i] :
      ( ( ( ~ ( eiw_di @ SV187 @ mactual )
          | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
                  | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                      | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                        | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
                  | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[930]) ).

thf(995,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( eiw_di @ ( sK5_SY84 @ SV62 ) @ mactual )
          | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ universal_class @ mactual )
                | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
                      | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) ) ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[931]) ).

thf(996,plain,
    ! [SV131: $i,SV63: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
              | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[932]) ).

thf(997,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
                | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[933]) ).

thf(998,plain,
    ! [SV173: $i,SV132: $i,SV64: $i] :
      ( ( ( ~ ( qmltpeq @ SV64 @ SV132 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( unordered_pair @ SV173 @ SV64 ) @ ( unordered_pair @ SV173 @ SV132 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV173 @ mactual )
        = $false )
      | ( ( eiw_di @ SV132 @ mactual )
        = $false )
      | ( ( eiw_di @ SV64 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[934]) ).

thf(999,plain,
    ! [SV174: $i,SV133: $i,SV66: $i] :
      ( ( ( ~ ( qmltpeq @ SV66 @ SV133 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( image @ SV66 @ SV174 ) @ ( image @ SV133 @ SV174 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV174 @ mactual )
        = $false )
      | ( ( eiw_di @ SV133 @ mactual )
        = $false )
      | ( ( eiw_di @ SV66 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[935]) ).

thf(1000,plain,
    ! [SV175: $i,SV134: $i,SV67: $i] :
      ( ( ( ~ ( qmltpeq @ SV67 @ SV134 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( cross_product @ SV67 @ SV175 ) @ ( cross_product @ SV134 @ SV175 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV175 @ mactual )
        = $false )
      | ( ( eiw_di @ SV134 @ mactual )
        = $false )
      | ( ( eiw_di @ SV67 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[936]) ).

thf(1001,plain,
    ! [SV176: $i,SV135: $i,SV68: $i] :
      ( ( ( ~ ( qmltpeq @ SV68 @ SV135 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( union @ SV68 @ SV176 ) @ ( union @ SV135 @ SV176 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV176 @ mactual )
        = $false )
      | ( ( eiw_di @ SV135 @ mactual )
        = $false )
      | ( ( eiw_di @ SV68 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[937]) ).

thf(1002,plain,
    ! [SV177: $i,SV136: $i,SV69: $i] :
      ( ( ( ~ ~ ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
                | ~ ( member @ SV177 @ SV69 @ mactual ) ) )
        = $true )
      | ( ( member @ SV177 @ SV136 @ mactual )
        = $true )
      | ( ( eiw_di @ SV177 @ mactual )
        = $false )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[938]) ).

thf(1003,plain,
    ! [SV178: $i,SV138: $i,SV72: $i] :
      ( ( ( ~ ( qmltpeq @ SV72 @ SV138 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( unordered_pair @ SV72 @ SV178 ) @ ( unordered_pair @ SV138 @ SV178 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV178 @ mactual )
        = $false )
      | ( ( eiw_di @ SV138 @ mactual )
        = $false )
      | ( ( eiw_di @ SV72 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[939]) ).

thf(1004,plain,
    ! [SV179: $i,SV140: $i,SV74: $i,SV188: $i] :
      ( ( ( ~ ( eiw_di @ SV188 @ mactual )
          | ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
                  | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                      | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                        | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
                  | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[940]) ).

thf(1005,plain,
    ! [SV75: $i,SV141: $i,SV180: $i,SV189: $i] :
      ( ( ( ~ ( eiw_di @ SV189 @ mactual )
          | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                  | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                      | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                        | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
                  | ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[941]) ).

thf(1006,plain,
    ! [SV181: $i,SV142: $i,SV76: $i,SV190: $i] :
      ( ( ( ~ ( eiw_di @ SV190 @ mactual )
          | ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
                  | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                      | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                        | ~ ( member @ SV142 @ SV190 @ mactual ) )
                  | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[942]) ).

thf(1007,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( ~ ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
              | ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                  | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                    | ~ ( member @ SV182 @ SV144 @ mactual ) )
              | ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[943]) ).

thf(1008,plain,
    ! [SV148: $i,SV83: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ( eiw_di @ SV183 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
          | ( qmltpeq @ ( restrict @ SV148 @ SV3 @ SV183 ) @ ( restrict @ SV148 @ SV83 @ SV183 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV148 @ mactual )
        = $false )
      | ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[944]) ).

thf(1009,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
              | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[945]) ).

thf(1010,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( ~ ( member @ SV84 @ universal_class @ mactual )
              | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) ) )
        = $false )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[946]) ).

thf(1011,plain,
    ! [SV149: $i,SV85: $i,SV5: $i] :
      ( ( ( qmltpeq @ SV5 @ SV85 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( apply @ SV5 @ SV149 ) @ ( apply @ SV85 @ SV149 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV149 @ mactual )
        = $false )
      | ( ( eiw_di @ SV85 @ mactual )
        = $false )
      | ( ( eiw_di @ SV5 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[947]) ).

thf(1012,plain,
    ! [SV150: $i,SV86: $i,SV6: $i,SV184: $i] :
      ( ( ( ~ ( eiw_di @ SV184 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
          | ( qmltpeq @ ( restrict @ SV6 @ SV150 @ SV184 ) @ ( restrict @ SV86 @ SV150 @ SV184 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV150 @ mactual )
        = $false )
      | ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[948]) ).

thf(1013,plain,
    ! [SV151: $i,SV87: $i,SV7: $i] :
      ( ( ( qmltpeq @ SV7 @ SV87 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( compose @ SV151 @ SV7 ) @ ( compose @ SV151 @ SV87 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV151 @ mactual )
        = $false )
      | ( ( eiw_di @ SV87 @ mactual )
        = $false )
      | ( ( eiw_di @ SV7 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[949]) ).

thf(1014,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( ~ ! [SY123: $i] :
                ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                    | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                          | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[950]) ).

thf(1015,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ! [SY124: $i] :
                ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                    | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                          | ~ ( member @ SY124 @ SV88 @ mactual ) ) ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[951]) ).

thf(1016,plain,
    ! [SV153: $i,SV92: $i,SV13: $i] :
      ( ( ( qmltpeq @ SV13 @ SV92 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( union @ SV153 @ SV13 ) @ ( union @ SV153 @ SV92 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV153 @ mactual )
        = $false )
      | ( ( eiw_di @ SV92 @ mactual )
        = $false )
      | ( ( eiw_di @ SV13 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[952]) ).

thf(1017,plain,
    ! [SV94: $i,SV15: $i] :
      ( ( ( member @ SV15 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ( function @ SV94 @ mactual ) )
        = $true )
      | ( ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV94 @ mactual )
        = $false )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(1018,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( ~ ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
              | ( member @ SV154 @ SV20 @ mactual )
              | ( member @ SV154 @ SV97 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[954]) ).

thf(1019,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( ~ ( ( member @ SV154 @ SV20 @ mactual )
                  | ( member @ SV154 @ SV97 @ mactual ) )
              | ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[954]) ).

thf(1020,plain,
    ! [SV155: $i,SV98: $i,SV21: $i,SV185: $i] :
      ( ( ( ~ ( eiw_di @ SV185 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
          | ( qmltpeq @ ( restrict @ SV155 @ SV185 @ SV21 ) @ ( restrict @ SV155 @ SV185 @ SV98 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV155 @ mactual )
        = $false )
      | ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[955]) ).

thf(1021,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
              | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[956]) ).

thf(1022,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( ~ ( member @ SV23 @ universal_class @ mactual )
              | ~ ( subclass @ SV23 @ SV99 @ mactual ) ) )
        = $false )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[957]) ).

thf(1023,plain,
    ! [SV156: $i,SV100: $i,SV24: $i] :
      ( ( ( qmltpeq @ SV24 @ SV100 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( ordered_pair @ SV24 @ SV156 ) @ ( ordered_pair @ SV100 @ SV156 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV156 @ mactual )
        = $false )
      | ( ( eiw_di @ SV100 @ mactual )
        = $false )
      | ( ( eiw_di @ SV24 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[958]) ).

thf(1024,plain,
    ! [SV157: $i,SV101: $i,SV25: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
              | ~ ( subclass @ SV25 @ SV157 @ mactual ) ) )
        = $false )
      | ( ( subclass @ SV101 @ SV157 @ mactual )
        = $true )
      | ( ( eiw_di @ SV157 @ mactual )
        = $false )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[959]) ).

thf(1025,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
              | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[960]) ).

thf(1026,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( ~ ( member @ SV102 @ universal_class @ mactual )
              | ~ ~ ( member @ SV102 @ SV26 @ mactual ) ) )
        = $false )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[961]) ).

thf(1027,plain,
    ! [SV158: $i,SV103: $i,SV27: $i] :
      ( ( ( qmltpeq @ SV27 @ SV103 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( intersection @ SV27 @ SV158 ) @ ( intersection @ SV103 @ SV158 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV158 @ mactual )
        = $false )
      | ( ( eiw_di @ SV103 @ mactual )
        = $false )
      | ( ( eiw_di @ SV27 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[962]) ).

thf(1028,plain,
    ! [SV159: $i,SV104: $i,SV28: $i] :
      ( ( ( qmltpeq @ SV28 @ SV104 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( compose @ SV28 @ SV159 ) @ ( compose @ SV104 @ SV159 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV159 @ mactual )
        = $false )
      | ( ( eiw_di @ SV104 @ mactual )
        = $false )
      | ( ( eiw_di @ SV28 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[963]) ).

thf(1029,plain,
    ! [SV160: $i,SV107: $i,SV31: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
              | ~ ( qmltpeq @ SV107 @ SV160 @ mactual ) ) )
        = $false )
      | ( ( qmltpeq @ SV31 @ SV160 @ mactual )
        = $true )
      | ( ( eiw_di @ SV160 @ mactual )
        = $false )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[964]) ).

thf(1030,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( subclass @ SV32 @ SV108 @ mactual )
        = $false )
      | ( ( ! [SY135: $i] :
              ( ~ ( eiw_di @ SY135 @ mactual )
              | ~ ( member @ SY135 @ SV32 @ mactual )
              | ( member @ SY135 @ SV108 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[965]) ).

thf(1031,plain,
    ! [SV108: $i,SV32: $i] :
      ( ( ( ! [SY136: $i] :
              ( ~ ( eiw_di @ SY136 @ mactual )
              | ~ ( member @ SY136 @ SV32 @ mactual )
              | ( member @ SY136 @ SV108 @ mactual ) ) )
        = $false )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[966]) ).

thf(1032,plain,
    ! [SV109: $i,SV33: $i] :
      ( ( ( qmltpeq @ SV33 @ SV109 @ mactual )
        = $false )
      | ( ( ~ ( function @ SV33 @ mactual ) )
        = $true )
      | ( ( function @ SV109 @ mactual )
        = $true )
      | ( ( eiw_di @ SV109 @ mactual )
        = $false )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[967]) ).

thf(1033,plain,
    ! [SV161: $i,SV111: $i,SV35: $i] :
      ( ( ( qmltpeq @ SV35 @ SV111 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( apply @ SV161 @ SV35 ) @ ( apply @ SV161 @ SV111 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV161 @ mactual )
        = $false )
      | ( ( eiw_di @ SV111 @ mactual )
        = $false )
      | ( ( eiw_di @ SV35 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[968]) ).

thf(1034,plain,
    ! [SV162: $i,SV112: $i,SV36: $i] :
      ( ( ( qmltpeq @ SV36 @ SV112 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( cross_product @ SV162 @ SV36 ) @ ( cross_product @ SV162 @ SV112 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV162 @ mactual )
        = $false )
      | ( ( eiw_di @ SV112 @ mactual )
        = $false )
      | ( ( eiw_di @ SV36 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[969]) ).

thf(1035,plain,
    ! [SV163: $i,SV113: $i,SV38: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
              | ~ ( subclass @ SV163 @ SV38 @ mactual ) ) )
        = $false )
      | ( ( subclass @ SV163 @ SV113 @ mactual )
        = $true )
      | ( ( eiw_di @ SV163 @ mactual )
        = $false )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[970]) ).

thf(1036,plain,
    ! [SV164: $i,SV114: $i,SV39: $i] :
      ( ( ( qmltpeq @ SV39 @ SV114 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( ordered_pair @ SV164 @ SV39 ) @ ( ordered_pair @ SV164 @ SV114 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV164 @ mactual )
        = $false )
      | ( ( eiw_di @ SV114 @ mactual )
        = $false )
      | ( ( eiw_di @ SV39 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[971]) ).

thf(1037,plain,
    ! [SV165: $i,SV115: $i,SV40: $i] :
      ( ( ( qmltpeq @ SV40 @ SV115 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( image @ SV165 @ SV40 ) @ ( image @ SV165 @ SV115 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV165 @ mactual )
        = $false )
      | ( ( eiw_di @ SV115 @ mactual )
        = $false )
      | ( ( eiw_di @ SV40 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[972]) ).

thf(1038,plain,
    ! [SV166: $i,SV116: $i,SV41: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
              | ~ ( member @ SV41 @ SV166 @ mactual ) ) )
        = $false )
      | ( ( member @ SV116 @ SV166 @ mactual )
        = $true )
      | ( ( eiw_di @ SV166 @ mactual )
        = $false )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[973]) ).

thf(1039,plain,
    ! [SV167: $i,SV117: $i,SV43: $i] :
      ( ( ( qmltpeq @ SV43 @ SV117 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( intersection @ SV167 @ SV43 ) @ ( intersection @ SV167 @ SV117 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV167 @ mactual )
        = $false )
      | ( ( eiw_di @ SV117 @ mactual )
        = $false )
      | ( ( eiw_di @ SV43 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[974]) ).

thf(1040,plain,
    ! [SV118: $i,SV44: $i] :
      ( ( ( qmltpeq @ SV44 @ SV118 @ mactual )
        = $false )
      | ( ( ~ ( inductive @ SV44 @ mactual ) )
        = $true )
      | ( ( inductive @ SV118 @ mactual )
        = $true )
      | ( ( eiw_di @ SV118 @ mactual )
        = $false )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[975]) ).

thf(1041,plain,
    ! [SV168: $i,SV119: $i,SV45: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
              | ~ ( disjoint @ SV45 @ SV168 @ mactual ) ) )
        = $false )
      | ( ( disjoint @ SV119 @ SV168 @ mactual )
        = $true )
      | ( ( eiw_di @ SV168 @ mactual )
        = $false )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[976]) ).

thf(1042,plain,
    ! [SV186: $i] :
      ( ( ( ~ ( eiw_di @ SV186 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV186 @ universal_class @ mactual )
          | ( qmltpeq @ SV186 @ null_class @ mactual )
          | ( member @ ( apply @ sK2_SX0 @ SV186 ) @ SV186 @ mactual ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[977]) ).

thf(1043,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
              | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[978]) ).

thf(1044,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( ~ ( subclass @ SV47 @ SV120 @ mactual )
              | ~ ( subclass @ SV120 @ SV47 @ mactual ) ) )
        = $false )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[979]) ).

thf(1045,plain,
    ( ( ~ ( inductive @ sK4_SX0 @ mactual ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[980]) ).

thf(1046,plain,
    ( ( ~ ! [SY116: $i] :
            ( ~ ( eiw_di @ SY116 @ mactual )
            | ~ ( inductive @ SY116 @ mactual )
            | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[980]) ).

thf(1047,plain,
    ! [SV169: $i,SV124: $i,SV53: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
              | ~ ( disjoint @ SV169 @ SV53 @ mactual ) ) )
        = $false )
      | ( ( disjoint @ SV169 @ SV124 @ mactual )
        = $true )
      | ( ( eiw_di @ SV169 @ mactual )
        = $false )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[981]) ).

thf(1048,plain,
    ! [SV54: $i] :
      ( ( ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
        = $true )
      | ( ( function @ SV54 @ mactual )
        = $false )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[982]) ).

thf(1049,plain,
    ! [SV54: $i] :
      ( ( ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual )
        = $true )
      | ( ( function @ SV54 @ mactual )
        = $false )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[983]) ).

thf(1050,plain,
    ! [SV54: $i] :
      ( ( ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
        = $false )
      | ( ( ~ ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual ) )
        = $true )
      | ( ( function @ SV54 @ mactual )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[984]) ).

thf(1051,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( ! [SY146: $i] :
              ( ~ ( eiw_di @ SY146 @ mactual )
              | ~ ~ ( ~ ( member @ SY146 @ SV55 @ mactual )
                    | ~ ( member @ SY146 @ SV125 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[985]) ).

thf(1052,plain,
    ! [SV125: $i,SV55: $i] :
      ( ( ( ! [SY147: $i] :
              ( ~ ( eiw_di @ SY147 @ mactual )
              | ~ ~ ( ~ ( member @ SY147 @ SV55 @ mactual )
                    | ~ ( member @ SY147 @ SV125 @ mactual ) ) ) )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[986]) ).

thf(1053,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
              | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                    | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[987]) ).

thf(1054,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( ~ ( member @ SV56 @ universal_class @ mactual )
              | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                    | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[988]) ).

thf(1055,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
              | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                  | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                      | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) ) )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[989]) ).

thf(1056,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                    | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                        | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
              | ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[989]) ).

thf(1057,plain,
    ! [SV128: $i,SV58: $i,SV171: $i] :
      ( ( ( member @ SV171 @ ( cross_product @ SV58 @ SV128 ) @ mactual )
        = $false )
      | ( ( qmltpeq @ SV171 @ ( ordered_pair @ ( first @ SV171 ) @ ( second @ SV171 ) ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV171 @ mactual )
        = $false )
      | ( ( eiw_di @ SV128 @ mactual )
        = $false )
      | ( ( eiw_di @ SV58 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[990]) ).

thf(1058,plain,
    ! [SV59: $i] :
      ( ( ( member @ null_class @ SV59 @ mactual )
        = $true )
      | ( ( inductive @ SV59 @ mactual )
        = $false )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[991]) ).

thf(1059,plain,
    ! [SV59: $i] :
      ( ( ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual )
        = $true )
      | ( ( inductive @ SV59 @ mactual )
        = $false )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[992]) ).

thf(1060,plain,
    ! [SV59: $i] :
      ( ( ( member @ null_class @ SV59 @ mactual )
        = $false )
      | ( ( ~ ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual ) )
        = $true )
      | ( ( inductive @ SV59 @ mactual )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[993]) ).

thf(1061,plain,
    ! [SV60: $i,SV172: $i,SV129: $i,SV187: $i] :
      ( ( ( ~ ( eiw_di @ SV187 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
                  | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                      | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                        | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
                  | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[994]) ).

thf(1062,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( eiw_di @ ( sK5_SY84 @ SV62 ) @ mactual ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[995]) ).

thf(1063,plain,
    ! [SV62: $i] :
      ( ( ( ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ universal_class @ mactual )
                | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
                      | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) ) ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[995]) ).

thf(1064,plain,
    ! [SV131: $i,SV63: $i] :
      ( ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
              | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[996]) ).

thf(1065,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ( ~ ( member @ SV131 @ universal_class @ mactual )
              | ~ ( member @ SV63 @ SV131 @ mactual ) ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[997]) ).

thf(1066,plain,
    ! [SV173: $i,SV132: $i,SV64: $i] :
      ( ( ( qmltpeq @ SV64 @ SV132 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( unordered_pair @ SV173 @ SV64 ) @ ( unordered_pair @ SV173 @ SV132 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV173 @ mactual )
        = $false )
      | ( ( eiw_di @ SV132 @ mactual )
        = $false )
      | ( ( eiw_di @ SV64 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1067,plain,
    ! [SV174: $i,SV133: $i,SV66: $i] :
      ( ( ( qmltpeq @ SV66 @ SV133 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( image @ SV66 @ SV174 ) @ ( image @ SV133 @ SV174 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV174 @ mactual )
        = $false )
      | ( ( eiw_di @ SV133 @ mactual )
        = $false )
      | ( ( eiw_di @ SV66 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[999]) ).

thf(1068,plain,
    ! [SV175: $i,SV134: $i,SV67: $i] :
      ( ( ( qmltpeq @ SV67 @ SV134 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( cross_product @ SV67 @ SV175 ) @ ( cross_product @ SV134 @ SV175 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV175 @ mactual )
        = $false )
      | ( ( eiw_di @ SV134 @ mactual )
        = $false )
      | ( ( eiw_di @ SV67 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1000]) ).

thf(1069,plain,
    ! [SV176: $i,SV135: $i,SV68: $i] :
      ( ( ( qmltpeq @ SV68 @ SV135 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( union @ SV68 @ SV176 ) @ ( union @ SV135 @ SV176 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV176 @ mactual )
        = $false )
      | ( ( eiw_di @ SV135 @ mactual )
        = $false )
      | ( ( eiw_di @ SV68 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1001]) ).

thf(1070,plain,
    ! [SV177: $i,SV136: $i,SV69: $i] :
      ( ( ( ~ ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
              | ~ ( member @ SV177 @ SV69 @ mactual ) ) )
        = $false )
      | ( ( member @ SV177 @ SV136 @ mactual )
        = $true )
      | ( ( eiw_di @ SV177 @ mactual )
        = $false )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1071,plain,
    ! [SV178: $i,SV138: $i,SV72: $i] :
      ( ( ( qmltpeq @ SV72 @ SV138 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( unordered_pair @ SV72 @ SV178 ) @ ( unordered_pair @ SV138 @ SV178 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV178 @ mactual )
        = $false )
      | ( ( eiw_di @ SV138 @ mactual )
        = $false )
      | ( ( eiw_di @ SV72 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1003]) ).

thf(1072,plain,
    ! [SV179: $i,SV140: $i,SV74: $i,SV188: $i] :
      ( ( ( ~ ( eiw_di @ SV188 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
                  | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                      | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                        | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
                  | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1004]) ).

thf(1073,plain,
    ! [SV75: $i,SV141: $i,SV180: $i,SV189: $i] :
      ( ( ( ~ ( eiw_di @ SV189 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                  | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                      | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                        | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
                  | ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1005]) ).

thf(1074,plain,
    ! [SV181: $i,SV142: $i,SV76: $i,SV190: $i] :
      ( ( ( ~ ( eiw_di @ SV190 @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
                  | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                      | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                        | ~ ( member @ SV142 @ SV190 @ mactual ) )
                  | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1006]) ).

thf(1075,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( ~ ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
              | ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                  | ~ ( member @ SV182 @ SV144 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1007]) ).

thf(1076,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                    | ~ ( member @ SV182 @ SV144 @ mactual ) )
              | ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1007]) ).

thf(1077,plain,
    ! [SV148: $i,SV83: $i,SV3: $i,SV183: $i] :
      ( ( ( eiw_di @ SV183 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV3 @ SV83 @ mactual )
          | ( qmltpeq @ ( restrict @ SV148 @ SV3 @ SV183 ) @ ( restrict @ SV148 @ SV83 @ SV183 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV148 @ mactual )
        = $false )
      | ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1008]) ).

thf(1078,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( member @ SV84 @ universal_class @ mactual )
          | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
        = $false )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1009]) ).

thf(1079,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( member @ SV84 @ universal_class @ mactual )
          | ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
        = $true )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1010]) ).

thf(1080,plain,
    ! [SV150: $i,SV86: $i,SV6: $i,SV184: $i] :
      ( ( ( eiw_di @ SV184 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV6 @ SV86 @ mactual )
          | ( qmltpeq @ ( restrict @ SV6 @ SV150 @ SV184 ) @ ( restrict @ SV86 @ SV150 @ SV184 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV150 @ mactual )
        = $false )
      | ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1012]) ).

thf(1081,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ! [SY123: $i] :
              ~ ~ ( ~ ( eiw_di @ SY123 @ mactual )
                  | ~ ~ ( ~ ( member @ SV8 @ SY123 @ mactual )
                        | ~ ( member @ SY123 @ SV88 @ mactual ) ) ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1014]) ).

thf(1082,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ! [SY124: $i] :
              ~ ~ ( ~ ( eiw_di @ SY124 @ mactual )
                  | ~ ~ ( ~ ( member @ SV8 @ SY124 @ mactual )
                        | ~ ( member @ SY124 @ SV88 @ mactual ) ) ) )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1015]) ).

thf(1083,plain,
    ! [SV15: $i,SV94: $i] :
      ( ( ( function @ SV94 @ mactual )
        = $false )
      | ( ( member @ SV15 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( image @ SV94 @ SV15 ) @ universal_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV94 @ mactual )
        = $false )
      | ( ( eiw_di @ SV15 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1017]) ).

thf(1084,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
          | ( member @ SV154 @ SV20 @ mactual )
          | ( member @ SV154 @ SV97 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1018]) ).

thf(1085,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( ( member @ SV154 @ SV20 @ mactual )
              | ( member @ SV154 @ SV97 @ mactual ) )
          | ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1019]) ).

thf(1086,plain,
    ! [SV155: $i,SV98: $i,SV21: $i,SV185: $i] :
      ( ( ( eiw_di @ SV185 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV21 @ SV98 @ mactual )
          | ( qmltpeq @ ( restrict @ SV155 @ SV185 @ SV21 ) @ ( restrict @ SV155 @ SV185 @ SV98 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV155 @ mactual )
        = $false )
      | ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1020]) ).

thf(1087,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( member @ SV23 @ universal_class @ mactual )
          | ~ ( subclass @ SV23 @ SV99 @ mactual ) )
        = $false )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1021]) ).

thf(1088,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( member @ SV23 @ universal_class @ mactual )
          | ~ ( subclass @ SV23 @ SV99 @ mactual ) )
        = $true )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1022]) ).

thf(1089,plain,
    ! [SV157: $i,SV101: $i,SV25: $i] :
      ( ( ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual )
          | ~ ( subclass @ SV25 @ SV157 @ mactual ) )
        = $true )
      | ( ( subclass @ SV101 @ SV157 @ mactual )
        = $true )
      | ( ( eiw_di @ SV157 @ mactual )
        = $false )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1024]) ).

thf(1090,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( member @ SV102 @ universal_class @ mactual )
          | ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
        = $false )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1025]) ).

thf(1091,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( member @ SV102 @ universal_class @ mactual )
          | ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
        = $true )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1026]) ).

thf(1092,plain,
    ! [SV160: $i,SV107: $i,SV31: $i] :
      ( ( ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual )
          | ~ ( qmltpeq @ SV107 @ SV160 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV31 @ SV160 @ mactual )
        = $true )
      | ( ( eiw_di @ SV160 @ mactual )
        = $false )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1029]) ).

thf(1093,plain,
    ! [SV108: $i,SV32: $i,SV191: $i] :
      ( ( ( ~ ( eiw_di @ SV191 @ mactual )
          | ~ ( member @ SV191 @ SV32 @ mactual )
          | ( member @ SV191 @ SV108 @ mactual ) )
        = $true )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1030]) ).

thf(1094,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( ~ ( eiw_di @ ( sK6_SY136 @ SV108 @ SV32 ) @ mactual )
          | ~ ( member @ ( sK6_SY136 @ SV108 @ SV32 ) @ SV32 @ mactual )
          | ( member @ ( sK6_SY136 @ SV108 @ SV32 ) @ SV108 @ mactual ) )
        = $false )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1031]) ).

thf(1095,plain,
    ! [SV109: $i,SV33: $i] :
      ( ( ( function @ SV33 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV33 @ SV109 @ mactual )
        = $false )
      | ( ( function @ SV109 @ mactual )
        = $true )
      | ( ( eiw_di @ SV109 @ mactual )
        = $false )
      | ( ( eiw_di @ SV33 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1032]) ).

thf(1096,plain,
    ! [SV163: $i,SV113: $i,SV38: $i] :
      ( ( ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual )
          | ~ ( subclass @ SV163 @ SV38 @ mactual ) )
        = $true )
      | ( ( subclass @ SV163 @ SV113 @ mactual )
        = $true )
      | ( ( eiw_di @ SV163 @ mactual )
        = $false )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1035]) ).

thf(1097,plain,
    ! [SV166: $i,SV116: $i,SV41: $i] :
      ( ( ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual )
          | ~ ( member @ SV41 @ SV166 @ mactual ) )
        = $true )
      | ( ( member @ SV116 @ SV166 @ mactual )
        = $true )
      | ( ( eiw_di @ SV166 @ mactual )
        = $false )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1038]) ).

thf(1098,plain,
    ! [SV118: $i,SV44: $i] :
      ( ( ( inductive @ SV44 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV44 @ SV118 @ mactual )
        = $false )
      | ( ( inductive @ SV118 @ mactual )
        = $true )
      | ( ( eiw_di @ SV118 @ mactual )
        = $false )
      | ( ( eiw_di @ SV44 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1040]) ).

thf(1099,plain,
    ! [SV168: $i,SV119: $i,SV45: $i] :
      ( ( ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual )
          | ~ ( disjoint @ SV45 @ SV168 @ mactual ) )
        = $true )
      | ( ( disjoint @ SV119 @ SV168 @ mactual )
        = $true )
      | ( ( eiw_di @ SV168 @ mactual )
        = $false )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1041]) ).

thf(1100,plain,
    ! [SV186: $i] :
      ( ( ( eiw_di @ SV186 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV186 @ universal_class @ mactual )
          | ( qmltpeq @ SV186 @ null_class @ mactual )
          | ( member @ ( apply @ sK2_SX0 @ SV186 ) @ SV186 @ mactual ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1042]) ).

thf(1101,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( subclass @ SV47 @ SV120 @ mactual )
          | ~ ( subclass @ SV120 @ SV47 @ mactual ) )
        = $false )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1043]) ).

thf(1102,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( subclass @ SV47 @ SV120 @ mactual )
          | ~ ( subclass @ SV120 @ SV47 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1044]) ).

thf(1103,plain,
    ( ( inductive @ sK4_SX0 @ mactual )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1045]) ).

thf(1104,plain,
    ( ( ! [SY116: $i] :
          ( ~ ( eiw_di @ SY116 @ mactual )
          | ~ ( inductive @ SY116 @ mactual )
          | ( subclass @ sK4_SX0 @ SY116 @ mactual ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1046]) ).

thf(1105,plain,
    ! [SV169: $i,SV124: $i,SV53: $i] :
      ( ( ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual )
          | ~ ( disjoint @ SV169 @ SV53 @ mactual ) )
        = $true )
      | ( ( disjoint @ SV169 @ SV124 @ mactual )
        = $true )
      | ( ( eiw_di @ SV169 @ mactual )
        = $false )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1047]) ).

thf(1106,plain,
    ! [SV54: $i] :
      ( ( ( subclass @ ( compose @ SV54 @ ( inverse @ SV54 ) ) @ identity_relation @ mactual )
        = $false )
      | ( ( subclass @ SV54 @ ( cross_product @ universal_class @ universal_class ) @ mactual )
        = $false )
      | ( ( function @ SV54 @ mactual )
        = $true )
      | ( ( eiw_di @ SV54 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1050]) ).

thf(1107,plain,
    ! [SV125: $i,SV55: $i,SV192: $i] :
      ( ( ( ~ ( eiw_di @ SV192 @ mactual )
          | ~ ~ ( ~ ( member @ SV192 @ SV55 @ mactual )
                | ~ ( member @ SV192 @ SV125 @ mactual ) ) )
        = $true )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1051]) ).

thf(1108,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ( eiw_di @ ( sK7_SY147 @ SV125 @ SV55 ) @ mactual )
          | ~ ~ ( ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV55 @ mactual )
                | ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV125 @ mactual ) ) )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1052]) ).

thf(1109,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( member @ SV56 @ universal_class @ mactual )
          | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1053]) ).

thf(1110,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( member @ SV56 @ universal_class @ mactual )
          | ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1054]) ).

thf(1111,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
          | ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
              | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                  | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1055]) ).

thf(1112,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                    | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
          | ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1056]) ).

thf(1113,plain,
    ! [SV59: $i] :
      ( ( ( subclass @ ( image @ successor_relation @ SV59 ) @ SV59 @ mactual )
        = $false )
      | ( ( member @ null_class @ SV59 @ mactual )
        = $false )
      | ( ( inductive @ SV59 @ mactual )
        = $true )
      | ( ( eiw_di @ SV59 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1060]) ).

thf(1114,plain,
    ! [SV60: $i,SV172: $i,SV129: $i,SV187: $i] :
      ( ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
                  | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                      | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                        | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
                  | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1061]) ).

thf(1115,plain,
    ! [SV62: $i] :
      ( ( ( eiw_di @ ( sK5_SY84 @ SV62 ) @ mactual )
        = $true )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1062]) ).

thf(1116,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ universal_class @ mactual )
              | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
                    | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) ) ) )
        = $true )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1063]) ).

thf(1117,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ( member @ SV131 @ universal_class @ mactual )
          | ~ ( member @ SV63 @ SV131 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1064]) ).

thf(1118,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ( member @ SV131 @ universal_class @ mactual )
          | ~ ( member @ SV63 @ SV131 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1065]) ).

thf(1119,plain,
    ! [SV177: $i,SV136: $i,SV69: $i] :
      ( ( ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual )
          | ~ ( member @ SV177 @ SV69 @ mactual ) )
        = $true )
      | ( ( member @ SV177 @ SV136 @ mactual )
        = $true )
      | ( ( eiw_di @ SV177 @ mactual )
        = $false )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1070]) ).

thf(1120,plain,
    ! [SV179: $i,SV140: $i,SV74: $i,SV188: $i] :
      ( ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
                  | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                      | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                        | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
                  | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1072]) ).

thf(1121,plain,
    ! [SV75: $i,SV141: $i,SV180: $i,SV189: $i] :
      ( ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
                  | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                      | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                        | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
                  | ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1073]) ).

thf(1122,plain,
    ! [SV181: $i,SV142: $i,SV76: $i,SV190: $i] :
      ( ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
                  | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                      | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
              | ~ ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                        | ~ ( member @ SV142 @ SV190 @ mactual ) )
                  | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1074]) ).

thf(1123,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
          | ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
              | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1075]) ).

thf(1124,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                | ~ ( member @ SV182 @ SV144 @ mactual ) )
          | ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1076]) ).

thf(1125,plain,
    ! [SV183: $i,SV148: $i,SV83: $i,SV3: $i] :
      ( ( ( ~ ( qmltpeq @ SV3 @ SV83 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( restrict @ SV148 @ SV3 @ SV183 ) @ ( restrict @ SV148 @ SV83 @ SV183 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV183 @ mactual )
        = $false )
      | ( ( eiw_di @ SV148 @ mactual )
        = $false )
      | ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1077]) ).

thf(1126,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( member @ SV84 @ universal_class @ mactual ) )
        = $false )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1078]) ).

thf(1127,plain,
    ! [SV84: $i,SV4: $i] :
      ( ( ( ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
        = $false )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1078]) ).

thf(1128,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( ~ ( member @ SV84 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
        = $true )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1079]) ).

thf(1129,plain,
    ! [SV184: $i,SV150: $i,SV86: $i,SV6: $i] :
      ( ( ( ~ ( qmltpeq @ SV6 @ SV86 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( restrict @ SV6 @ SV150 @ SV184 ) @ ( restrict @ SV86 @ SV150 @ SV184 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV184 @ mactual )
        = $false )
      | ( ( eiw_di @ SV150 @ mactual )
        = $false )
      | ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1080]) ).

thf(1130,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( ~ ~ ( ~ ( eiw_di @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
                | ~ ~ ( ~ ( member @ SV8 @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
                      | ~ ( member @ ( sK8_SY123 @ SV88 @ SV8 ) @ SV88 @ mactual ) ) ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1081]) ).

thf(1131,plain,
    ! [SV88: $i,SV8: $i,SV193: $i] :
      ( ( ( ~ ~ ( ~ ( eiw_di @ SV193 @ mactual )
                | ~ ~ ( ~ ( member @ SV8 @ SV193 @ mactual )
                      | ~ ( member @ SV193 @ SV88 @ mactual ) ) ) )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1082]) ).

thf(1132,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual ) )
        = $true )
      | ( ( ( member @ SV154 @ SV20 @ mactual )
          | ( member @ SV154 @ SV97 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1084]) ).

thf(1133,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ~ ( ( member @ SV154 @ SV20 @ mactual )
              | ( member @ SV154 @ SV97 @ mactual ) ) )
        = $true )
      | ( ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1085]) ).

thf(1134,plain,
    ! [SV185: $i,SV155: $i,SV98: $i,SV21: $i] :
      ( ( ( ~ ( qmltpeq @ SV21 @ SV98 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ ( restrict @ SV155 @ SV185 @ SV21 ) @ ( restrict @ SV155 @ SV185 @ SV98 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV185 @ mactual )
        = $false )
      | ( ( eiw_di @ SV155 @ mactual )
        = $false )
      | ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1086]) ).

thf(1135,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( member @ SV23 @ universal_class @ mactual ) )
        = $false )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1087]) ).

thf(1136,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( subclass @ SV23 @ SV99 @ mactual ) )
        = $false )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1087]) ).

thf(1137,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( ~ ( member @ SV23 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ( subclass @ SV23 @ SV99 @ mactual ) )
        = $true )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1088]) ).

thf(1138,plain,
    ! [SV157: $i,SV101: $i,SV25: $i] :
      ( ( ( ~ ( qmltpeq @ SV25 @ SV101 @ mactual ) )
        = $true )
      | ( ( ~ ( subclass @ SV25 @ SV157 @ mactual ) )
        = $true )
      | ( ( subclass @ SV101 @ SV157 @ mactual )
        = $true )
      | ( ( eiw_di @ SV157 @ mactual )
        = $false )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1089]) ).

thf(1139,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( member @ SV102 @ universal_class @ mactual ) )
        = $false )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1090]) ).

thf(1140,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
        = $false )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1090]) ).

thf(1141,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( member @ SV102 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
        = $true )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1091]) ).

thf(1142,plain,
    ! [SV160: $i,SV107: $i,SV31: $i] :
      ( ( ( ~ ( qmltpeq @ SV31 @ SV107 @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ SV107 @ SV160 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV31 @ SV160 @ mactual )
        = $true )
      | ( ( eiw_di @ SV160 @ mactual )
        = $false )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1092]) ).

thf(1143,plain,
    ! [SV108: $i,SV32: $i,SV191: $i] :
      ( ( ( ~ ( eiw_di @ SV191 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV191 @ SV32 @ mactual )
          | ( member @ SV191 @ SV108 @ mactual ) )
        = $true )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1093]) ).

thf(1144,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( ~ ( eiw_di @ ( sK6_SY136 @ SV108 @ SV32 ) @ mactual ) )
        = $false )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1094]) ).

thf(1145,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( ~ ( member @ ( sK6_SY136 @ SV108 @ SV32 ) @ SV32 @ mactual )
          | ( member @ ( sK6_SY136 @ SV108 @ SV32 ) @ SV108 @ mactual ) )
        = $false )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1094]) ).

thf(1146,plain,
    ! [SV163: $i,SV113: $i,SV38: $i] :
      ( ( ( ~ ( qmltpeq @ SV38 @ SV113 @ mactual ) )
        = $true )
      | ( ( ~ ( subclass @ SV163 @ SV38 @ mactual ) )
        = $true )
      | ( ( subclass @ SV163 @ SV113 @ mactual )
        = $true )
      | ( ( eiw_di @ SV163 @ mactual )
        = $false )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1096]) ).

thf(1147,plain,
    ! [SV166: $i,SV116: $i,SV41: $i] :
      ( ( ( ~ ( qmltpeq @ SV41 @ SV116 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV41 @ SV166 @ mactual ) )
        = $true )
      | ( ( member @ SV116 @ SV166 @ mactual )
        = $true )
      | ( ( eiw_di @ SV166 @ mactual )
        = $false )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1097]) ).

thf(1148,plain,
    ! [SV168: $i,SV119: $i,SV45: $i] :
      ( ( ( ~ ( qmltpeq @ SV45 @ SV119 @ mactual ) )
        = $true )
      | ( ( ~ ( disjoint @ SV45 @ SV168 @ mactual ) )
        = $true )
      | ( ( disjoint @ SV119 @ SV168 @ mactual )
        = $true )
      | ( ( eiw_di @ SV168 @ mactual )
        = $false )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1099]) ).

thf(1149,plain,
    ! [SV186: $i] :
      ( ( ( ~ ( member @ SV186 @ universal_class @ mactual ) )
        = $true )
      | ( ( ( qmltpeq @ SV186 @ null_class @ mactual )
          | ( member @ ( apply @ sK2_SX0 @ SV186 ) @ SV186 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV186 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1100]) ).

thf(1150,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( subclass @ SV47 @ SV120 @ mactual ) )
        = $false )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1101]) ).

thf(1151,plain,
    ! [SV47: $i,SV120: $i] :
      ( ( ( ~ ( subclass @ SV120 @ SV47 @ mactual ) )
        = $false )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1101]) ).

thf(1152,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( ~ ( subclass @ SV47 @ SV120 @ mactual ) )
        = $true )
      | ( ( ~ ( subclass @ SV120 @ SV47 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1102]) ).

thf(1153,plain,
    ! [SV194: $i] :
      ( ( ~ ( eiw_di @ SV194 @ mactual )
        | ~ ( inductive @ SV194 @ mactual )
        | ( subclass @ sK4_SX0 @ SV194 @ mactual ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1154,plain,
    ! [SV169: $i,SV124: $i,SV53: $i] :
      ( ( ( ~ ( qmltpeq @ SV53 @ SV124 @ mactual ) )
        = $true )
      | ( ( ~ ( disjoint @ SV169 @ SV53 @ mactual ) )
        = $true )
      | ( ( disjoint @ SV169 @ SV124 @ mactual )
        = $true )
      | ( ( eiw_di @ SV169 @ mactual )
        = $false )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1105]) ).

thf(1155,plain,
    ! [SV125: $i,SV55: $i,SV192: $i] :
      ( ( ( ~ ( eiw_di @ SV192 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( member @ SV192 @ SV55 @ mactual )
                | ~ ( member @ SV192 @ SV125 @ mactual ) ) )
        = $true )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1107]) ).

thf(1156,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ( eiw_di @ ( sK7_SY147 @ SV125 @ SV55 ) @ mactual ) )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1108]) ).

thf(1157,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV55 @ mactual )
                | ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV125 @ mactual ) ) )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1108]) ).

thf(1158,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( member @ SV56 @ universal_class @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1109]) ).

thf(1159,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1109]) ).

thf(1160,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( member @ SV56 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1110]) ).

thf(1161,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
              | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                  | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1111]) ).

thf(1162,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
                | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                    | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
        = $true )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1112]) ).

thf(1163,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
              | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1114]) ).

thf(1164,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ universal_class @ mactual )
          | ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
                | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1116]) ).

thf(1165,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ( member @ SV131 @ universal_class @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1117]) ).

thf(1166,plain,
    ! [SV131: $i,SV63: $i] :
      ( ( ( ~ ( member @ SV63 @ SV131 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1117]) ).

thf(1167,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( ~ ( member @ SV131 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV63 @ SV131 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1118]) ).

thf(1168,plain,
    ! [SV177: $i,SV136: $i,SV69: $i] :
      ( ( ( ~ ( qmltpeq @ SV69 @ SV136 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV177 @ SV69 @ mactual ) )
        = $true )
      | ( ( member @ SV177 @ SV136 @ mactual )
        = $true )
      | ( ( eiw_di @ SV177 @ mactual )
        = $false )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1119]) ).

thf(1169,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
              | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1120]) ).

thf(1170,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
              | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                  | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                    | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
              | ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1121]) ).

thf(1171,plain,
    ! [SV190: $i,SV181: $i,SV142: $i,SV76: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
              | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                  | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
          | ~ ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                    | ~ ( member @ SV142 @ SV190 @ mactual ) )
              | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1122]) ).

thf(1172,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
              | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1123]) ).

thf(1173,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
                | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
        = $true )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1124]) ).

thf(1174,plain,
    ! [SV183: $i,SV148: $i,SV83: $i,SV3: $i] :
      ( ( ( qmltpeq @ SV3 @ SV83 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( restrict @ SV148 @ SV3 @ SV183 ) @ ( restrict @ SV148 @ SV83 @ SV183 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV183 @ mactual )
        = $false )
      | ( ( eiw_di @ SV148 @ mactual )
        = $false )
      | ( ( eiw_di @ SV83 @ mactual )
        = $false )
      | ( ( eiw_di @ SV3 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1125]) ).

thf(1175,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( member @ SV84 @ universal_class @ mactual )
        = $true )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1126]) ).

thf(1176,plain,
    ! [SV84: $i,SV4: $i] :
      ( ( ( ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
        = $true )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1127]) ).

thf(1177,plain,
    ! [SV4: $i,SV84: $i] :
      ( ( ( member @ SV84 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
        = $true )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1128]) ).

thf(1178,plain,
    ! [SV184: $i,SV150: $i,SV86: $i,SV6: $i] :
      ( ( ( qmltpeq @ SV6 @ SV86 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( restrict @ SV6 @ SV150 @ SV184 ) @ ( restrict @ SV86 @ SV150 @ SV184 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV184 @ mactual )
        = $false )
      | ( ( eiw_di @ SV150 @ mactual )
        = $false )
      | ( ( eiw_di @ SV86 @ mactual )
        = $false )
      | ( ( eiw_di @ SV6 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1129]) ).

thf(1179,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( ~ ( ~ ( eiw_di @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
              | ~ ~ ( ~ ( member @ SV8 @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
                    | ~ ( member @ ( sK8_SY123 @ SV88 @ SV8 ) @ SV88 @ mactual ) ) ) )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1130]) ).

thf(1180,plain,
    ! [SV88: $i,SV8: $i,SV193: $i] :
      ( ( ( ~ ( ~ ( eiw_di @ SV193 @ mactual )
              | ~ ~ ( ~ ( member @ SV8 @ SV193 @ mactual )
                    | ~ ( member @ SV193 @ SV88 @ mactual ) ) ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1131]) ).

thf(1181,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
        = $false )
      | ( ( ( member @ SV154 @ SV20 @ mactual )
          | ( member @ SV154 @ SV97 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1132]) ).

thf(1182,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( ( member @ SV154 @ SV20 @ mactual )
          | ( member @ SV154 @ SV97 @ mactual ) )
        = $false )
      | ( ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1133]) ).

thf(1183,plain,
    ! [SV185: $i,SV155: $i,SV98: $i,SV21: $i] :
      ( ( ( qmltpeq @ SV21 @ SV98 @ mactual )
        = $false )
      | ( ( qmltpeq @ ( restrict @ SV155 @ SV185 @ SV21 ) @ ( restrict @ SV155 @ SV185 @ SV98 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV185 @ mactual )
        = $false )
      | ( ( eiw_di @ SV155 @ mactual )
        = $false )
      | ( ( eiw_di @ SV98 @ mactual )
        = $false )
      | ( ( eiw_di @ SV21 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1134]) ).

thf(1184,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( member @ SV23 @ universal_class @ mactual )
        = $true )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1135]) ).

thf(1185,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( subclass @ SV23 @ SV99 @ mactual )
        = $true )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1136]) ).

thf(1186,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( member @ SV23 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ( subclass @ SV23 @ SV99 @ mactual ) )
        = $true )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1137]) ).

thf(1187,plain,
    ! [SV157: $i,SV101: $i,SV25: $i] :
      ( ( ( qmltpeq @ SV25 @ SV101 @ mactual )
        = $false )
      | ( ( ~ ( subclass @ SV25 @ SV157 @ mactual ) )
        = $true )
      | ( ( subclass @ SV101 @ SV157 @ mactual )
        = $true )
      | ( ( eiw_di @ SV157 @ mactual )
        = $false )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1138]) ).

thf(1188,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( member @ SV102 @ universal_class @ mactual )
        = $true )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1139]) ).

thf(1189,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( member @ SV102 @ SV26 @ mactual ) )
        = $true )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1140]) ).

thf(1190,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( member @ SV102 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ~ ( member @ SV102 @ SV26 @ mactual ) )
        = $true )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1141]) ).

thf(1191,plain,
    ! [SV160: $i,SV107: $i,SV31: $i] :
      ( ( ( qmltpeq @ SV31 @ SV107 @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ SV107 @ SV160 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV31 @ SV160 @ mactual )
        = $true )
      | ( ( eiw_di @ SV160 @ mactual )
        = $false )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1142]) ).

thf(1192,plain,
    ! [SV108: $i,SV32: $i,SV191: $i] :
      ( ( ( eiw_di @ SV191 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV191 @ SV32 @ mactual )
          | ( member @ SV191 @ SV108 @ mactual ) )
        = $true )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1143]) ).

thf(1193,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( eiw_di @ ( sK6_SY136 @ SV108 @ SV32 ) @ mactual )
        = $true )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1144]) ).

thf(1194,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( ~ ( member @ ( sK6_SY136 @ SV108 @ SV32 ) @ SV32 @ mactual ) )
        = $false )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1145]) ).

thf(1195,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( member @ ( sK6_SY136 @ SV108 @ SV32 ) @ SV108 @ mactual )
        = $false )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1145]) ).

thf(1196,plain,
    ! [SV163: $i,SV113: $i,SV38: $i] :
      ( ( ( qmltpeq @ SV38 @ SV113 @ mactual )
        = $false )
      | ( ( ~ ( subclass @ SV163 @ SV38 @ mactual ) )
        = $true )
      | ( ( subclass @ SV163 @ SV113 @ mactual )
        = $true )
      | ( ( eiw_di @ SV163 @ mactual )
        = $false )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1146]) ).

thf(1197,plain,
    ! [SV166: $i,SV116: $i,SV41: $i] :
      ( ( ( qmltpeq @ SV41 @ SV116 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV41 @ SV166 @ mactual ) )
        = $true )
      | ( ( member @ SV116 @ SV166 @ mactual )
        = $true )
      | ( ( eiw_di @ SV166 @ mactual )
        = $false )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1147]) ).

thf(1198,plain,
    ! [SV168: $i,SV119: $i,SV45: $i] :
      ( ( ( qmltpeq @ SV45 @ SV119 @ mactual )
        = $false )
      | ( ( ~ ( disjoint @ SV45 @ SV168 @ mactual ) )
        = $true )
      | ( ( disjoint @ SV119 @ SV168 @ mactual )
        = $true )
      | ( ( eiw_di @ SV168 @ mactual )
        = $false )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1148]) ).

thf(1199,plain,
    ! [SV186: $i] :
      ( ( ( member @ SV186 @ universal_class @ mactual )
        = $false )
      | ( ( ( qmltpeq @ SV186 @ null_class @ mactual )
          | ( member @ ( apply @ sK2_SX0 @ SV186 ) @ SV186 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV186 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1149]) ).

thf(1200,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( subclass @ SV47 @ SV120 @ mactual )
        = $true )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1150]) ).

thf(1201,plain,
    ! [SV47: $i,SV120: $i] :
      ( ( ( subclass @ SV120 @ SV47 @ mactual )
        = $true )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1151]) ).

thf(1202,plain,
    ! [SV120: $i,SV47: $i] :
      ( ( ( subclass @ SV47 @ SV120 @ mactual )
        = $false )
      | ( ( ~ ( subclass @ SV120 @ SV47 @ mactual ) )
        = $true )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1152]) ).

thf(1203,plain,
    ! [SV194: $i] :
      ( ( ( ~ ( eiw_di @ SV194 @ mactual ) )
        = $true )
      | ( ( ~ ( inductive @ SV194 @ mactual )
          | ( subclass @ sK4_SX0 @ SV194 @ mactual ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1153]) ).

thf(1204,plain,
    ! [SV169: $i,SV124: $i,SV53: $i] :
      ( ( ( qmltpeq @ SV53 @ SV124 @ mactual )
        = $false )
      | ( ( ~ ( disjoint @ SV169 @ SV53 @ mactual ) )
        = $true )
      | ( ( disjoint @ SV169 @ SV124 @ mactual )
        = $true )
      | ( ( eiw_di @ SV169 @ mactual )
        = $false )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1154]) ).

thf(1205,plain,
    ! [SV125: $i,SV55: $i,SV192: $i] :
      ( ( ( eiw_di @ SV192 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( member @ SV192 @ SV55 @ mactual )
                | ~ ( member @ SV192 @ SV125 @ mactual ) ) )
        = $true )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1155]) ).

thf(1206,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( eiw_di @ ( sK7_SY147 @ SV125 @ SV55 ) @ mactual )
        = $true )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1156]) ).

thf(1207,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ( ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV55 @ mactual )
              | ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV125 @ mactual ) ) )
        = $true )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1157]) ).

thf(1208,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( member @ SV56 @ universal_class @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1158]) ).

thf(1209,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
              | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1159]) ).

thf(1210,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( member @ SV56 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
                | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1160]) ).

thf(1211,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
              | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                  | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1161]) ).

thf(1212,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( ~ ( member @ SV57 @ universal_class @ mactual )
              | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
                  | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) ) )
        = $false )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1162]) ).

thf(1213,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1163]) ).

thf(1214,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
              | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1163]) ).

thf(1215,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ universal_class @ mactual ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1164]) ).

thf(1216,plain,
    ! [SV62: $i] :
      ( ( ( ~ ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
                | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1164]) ).

thf(1217,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( member @ SV131 @ universal_class @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1165]) ).

thf(1218,plain,
    ! [SV131: $i,SV63: $i] :
      ( ( ( member @ SV63 @ SV131 @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1166]) ).

thf(1219,plain,
    ! [SV63: $i,SV131: $i] :
      ( ( ( member @ SV131 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ( member @ SV63 @ SV131 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1167]) ).

thf(1220,plain,
    ! [SV177: $i,SV136: $i,SV69: $i] :
      ( ( ( qmltpeq @ SV69 @ SV136 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV177 @ SV69 @ mactual ) )
        = $true )
      | ( ( member @ SV177 @ SV136 @ mactual )
        = $true )
      | ( ( eiw_di @ SV177 @ mactual )
        = $false )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1168]) ).

thf(1221,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
              | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                  | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1169]) ).

thf(1222,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                    | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
              | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1169]) ).

thf(1223,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
              | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                  | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1170]) ).

thf(1224,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                    | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
              | ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1170]) ).

thf(1225,plain,
    ! [SV190: $i,SV181: $i,SV142: $i,SV76: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
              | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                  | ~ ( member @ SV142 @ SV190 @ mactual ) ) ) )
        = $false )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1171]) ).

thf(1226,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                    | ~ ( member @ SV142 @ SV190 @ mactual ) )
              | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1171]) ).

thf(1227,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
              | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1172]) ).

thf(1228,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( ~ ( member @ SV182 @ SV78 @ mactual )
              | ~ ( member @ SV182 @ SV144 @ mactual ) ) )
        = $false )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1173]) ).

thf(1229,plain,
    ! [SV84: $i,SV4: $i] :
      ( ( ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual )
        = $false )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1176]) ).

thf(1230,plain,
    ! [SV84: $i,SV4: $i] :
      ( ( ( ~ ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual ) )
        = $false )
      | ( ( member @ SV84 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1177]) ).

thf(1231,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( ~ ( eiw_di @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
          | ~ ~ ( ~ ( member @ SV8 @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
                | ~ ( member @ ( sK8_SY123 @ SV88 @ SV8 ) @ SV88 @ mactual ) ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1179]) ).

thf(1232,plain,
    ! [SV88: $i,SV8: $i,SV193: $i] :
      ( ( ( ~ ( eiw_di @ SV193 @ mactual )
          | ~ ~ ( ~ ( member @ SV8 @ SV193 @ mactual )
                | ~ ( member @ SV193 @ SV88 @ mactual ) ) )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1180]) ).

thf(1233,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( member @ SV154 @ SV20 @ mactual )
        = $true )
      | ( ( member @ SV154 @ SV97 @ mactual )
        = $true )
      | ( ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1181]) ).

thf(1234,plain,
    ! [SV97: $i,SV20: $i,SV154: $i] :
      ( ( ( member @ SV154 @ SV20 @ mactual )
        = $false )
      | ( ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1182]) ).

thf(1235,plain,
    ! [SV20: $i,SV97: $i,SV154: $i] :
      ( ( ( member @ SV154 @ SV97 @ mactual )
        = $false )
      | ( ( member @ SV154 @ ( union @ SV20 @ SV97 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV154 @ mactual )
        = $false )
      | ( ( eiw_di @ SV97 @ mactual )
        = $false )
      | ( ( eiw_di @ SV20 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1182]) ).

thf(1236,plain,
    ! [SV99: $i,SV23: $i] :
      ( ( ( subclass @ SV23 @ SV99 @ mactual )
        = $false )
      | ( ( member @ SV23 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV23 @ ( power_class @ SV99 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV99 @ mactual )
        = $false )
      | ( ( eiw_di @ SV23 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1186]) ).

thf(1237,plain,
    ! [SV101: $i,SV157: $i,SV25: $i] :
      ( ( ( subclass @ SV25 @ SV157 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV25 @ SV101 @ mactual )
        = $false )
      | ( ( subclass @ SV101 @ SV157 @ mactual )
        = $true )
      | ( ( eiw_di @ SV157 @ mactual )
        = $false )
      | ( ( eiw_di @ SV101 @ mactual )
        = $false )
      | ( ( eiw_di @ SV25 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1187]) ).

thf(1238,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( member @ SV102 @ SV26 @ mactual )
        = $false )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1189]) ).

thf(1239,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( ~ ( member @ SV102 @ SV26 @ mactual ) )
        = $false )
      | ( ( member @ SV102 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1190]) ).

thf(1240,plain,
    ! [SV31: $i,SV160: $i,SV107: $i] :
      ( ( ( qmltpeq @ SV107 @ SV160 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV31 @ SV107 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV31 @ SV160 @ mactual )
        = $true )
      | ( ( eiw_di @ SV160 @ mactual )
        = $false )
      | ( ( eiw_di @ SV107 @ mactual )
        = $false )
      | ( ( eiw_di @ SV31 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1191]) ).

thf(1241,plain,
    ! [SV108: $i,SV32: $i,SV191: $i] :
      ( ( ( ~ ( member @ SV191 @ SV32 @ mactual ) )
        = $true )
      | ( ( member @ SV191 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV191 @ mactual )
        = $false )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1192]) ).

thf(1242,plain,
    ! [SV32: $i,SV108: $i] :
      ( ( ( member @ ( sK6_SY136 @ SV108 @ SV32 ) @ SV32 @ mactual )
        = $true )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1194]) ).

thf(1243,plain,
    ! [SV113: $i,SV38: $i,SV163: $i] :
      ( ( ( subclass @ SV163 @ SV38 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV38 @ SV113 @ mactual )
        = $false )
      | ( ( subclass @ SV163 @ SV113 @ mactual )
        = $true )
      | ( ( eiw_di @ SV163 @ mactual )
        = $false )
      | ( ( eiw_di @ SV113 @ mactual )
        = $false )
      | ( ( eiw_di @ SV38 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1196]) ).

thf(1244,plain,
    ! [SV116: $i,SV166: $i,SV41: $i] :
      ( ( ( member @ SV41 @ SV166 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV41 @ SV116 @ mactual )
        = $false )
      | ( ( member @ SV116 @ SV166 @ mactual )
        = $true )
      | ( ( eiw_di @ SV166 @ mactual )
        = $false )
      | ( ( eiw_di @ SV116 @ mactual )
        = $false )
      | ( ( eiw_di @ SV41 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1197]) ).

thf(1245,plain,
    ! [SV119: $i,SV168: $i,SV45: $i] :
      ( ( ( disjoint @ SV45 @ SV168 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV45 @ SV119 @ mactual )
        = $false )
      | ( ( disjoint @ SV119 @ SV168 @ mactual )
        = $true )
      | ( ( eiw_di @ SV168 @ mactual )
        = $false )
      | ( ( eiw_di @ SV119 @ mactual )
        = $false )
      | ( ( eiw_di @ SV45 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1198]) ).

thf(1246,plain,
    ! [SV186: $i] :
      ( ( ( qmltpeq @ SV186 @ null_class @ mactual )
        = $true )
      | ( ( member @ ( apply @ sK2_SX0 @ SV186 ) @ SV186 @ mactual )
        = $true )
      | ( ( member @ SV186 @ universal_class @ mactual )
        = $false )
      | ( ( eiw_di @ SV186 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1199]) ).

thf(1247,plain,
    ! [SV47: $i,SV120: $i] :
      ( ( ( subclass @ SV120 @ SV47 @ mactual )
        = $false )
      | ( ( subclass @ SV47 @ SV120 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV47 @ SV120 @ mactual )
        = $true )
      | ( ( eiw_di @ SV120 @ mactual )
        = $false )
      | ( ( eiw_di @ SV47 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1202]) ).

thf(1248,plain,
    ! [SV194: $i] :
      ( ( ( eiw_di @ SV194 @ mactual )
        = $false )
      | ( ( ~ ( inductive @ SV194 @ mactual )
          | ( subclass @ sK4_SX0 @ SV194 @ mactual ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1203]) ).

thf(1249,plain,
    ! [SV124: $i,SV53: $i,SV169: $i] :
      ( ( ( disjoint @ SV169 @ SV53 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV53 @ SV124 @ mactual )
        = $false )
      | ( ( disjoint @ SV169 @ SV124 @ mactual )
        = $true )
      | ( ( eiw_di @ SV169 @ mactual )
        = $false )
      | ( ( eiw_di @ SV124 @ mactual )
        = $false )
      | ( ( eiw_di @ SV53 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1204]) ).

thf(1250,plain,
    ! [SV125: $i,SV55: $i,SV192: $i] :
      ( ( ( ~ ( ~ ( member @ SV192 @ SV55 @ mactual )
              | ~ ( member @ SV192 @ SV125 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV192 @ mactual )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1205]) ).

thf(1251,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV55 @ mactual )
          | ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV125 @ mactual ) )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1207]) ).

thf(1252,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ( member @ SV126 @ universal_class @ mactual )
          | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1209]) ).

thf(1253,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ( ~ ( member @ SV126 @ universal_class @ mactual )
              | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) ) )
        = $false )
      | ( ( member @ SV56 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1210]) ).

thf(1254,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( member @ SV57 @ universal_class @ mactual )
          | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
              | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
        = $false )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1211]) ).

thf(1255,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( member @ SV57 @ universal_class @ mactual )
          | ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
              | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
        = $true )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1212]) ).

thf(1256,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
          | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1213]) ).

thf(1257,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
          | ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1214]) ).

thf(1258,plain,
    ! [SV62: $i] :
      ( ( ( member @ ( sK5_SY84 @ SV62 ) @ universal_class @ mactual )
        = $true )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1215]) ).

thf(1259,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
              | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) ) )
        = $true )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1216]) ).

thf(1260,plain,
    ! [SV131: $i,SV63: $i] :
      ( ( ( member @ SV63 @ SV131 @ mactual )
        = $false )
      | ( ( member @ SV131 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ SV63 @ SV131 ) @ element_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV131 @ mactual )
        = $false )
      | ( ( eiw_di @ SV63 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1219]) ).

thf(1261,plain,
    ! [SV136: $i,SV69: $i,SV177: $i] :
      ( ( ( member @ SV177 @ SV69 @ mactual )
        = $false )
      | ( ( qmltpeq @ SV69 @ SV136 @ mactual )
        = $false )
      | ( ( member @ SV177 @ SV136 @ mactual )
        = $true )
      | ( ( eiw_di @ SV177 @ mactual )
        = $false )
      | ( ( eiw_di @ SV136 @ mactual )
        = $false )
      | ( ( eiw_di @ SV69 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1220]) ).

thf(1262,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
          | ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1221]) ).

thf(1263,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
          | ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1222]) ).

thf(1264,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
          | ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
              | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1223]) ).

thf(1265,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
          | ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1224]) ).

thf(1266,plain,
    ! [SV190: $i,SV181: $i,SV142: $i,SV76: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
          | ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
              | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1225]) ).

thf(1267,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                | ~ ( member @ SV142 @ SV190 @ mactual ) )
          | ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1226]) ).

thf(1268,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( member @ SV182 @ SV78 @ mactual )
          | ~ ( member @ SV182 @ SV144 @ mactual ) )
        = $false )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1227]) ).

thf(1269,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( member @ SV182 @ SV78 @ mactual )
          | ~ ( member @ SV182 @ SV144 @ mactual ) )
        = $true )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1228]) ).

thf(1270,plain,
    ! [SV84: $i,SV4: $i] :
      ( ( ( qmltpeq @ ( restrict @ SV4 @ ( singleton @ SV84 ) @ universal_class ) @ null_class @ mactual )
        = $true )
      | ( ( member @ SV84 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV84 @ ( domain_of @ SV4 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV84 @ mactual )
        = $false )
      | ( ( eiw_di @ SV4 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1230]) ).

thf(1271,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( ~ ( eiw_di @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1231]) ).

thf(1272,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV8 @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
                | ~ ( member @ ( sK8_SY123 @ SV88 @ SV8 ) @ SV88 @ mactual ) ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1231]) ).

thf(1273,plain,
    ! [SV88: $i,SV8: $i,SV193: $i] :
      ( ( ( ~ ( eiw_di @ SV193 @ mactual ) )
        = $true )
      | ( ( ~ ~ ( ~ ( member @ SV8 @ SV193 @ mactual )
                | ~ ( member @ SV193 @ SV88 @ mactual ) ) )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1232]) ).

thf(1274,plain,
    ! [SV26: $i,SV102: $i] :
      ( ( ( member @ SV102 @ SV26 @ mactual )
        = $true )
      | ( ( member @ SV102 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV102 @ ( complement @ SV26 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV102 @ mactual )
        = $false )
      | ( ( eiw_di @ SV26 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1239]) ).

thf(1275,plain,
    ! [SV108: $i,SV32: $i,SV191: $i] :
      ( ( ( member @ SV191 @ SV32 @ mactual )
        = $false )
      | ( ( member @ SV191 @ SV108 @ mactual )
        = $true )
      | ( ( eiw_di @ SV191 @ mactual )
        = $false )
      | ( ( subclass @ SV32 @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV108 @ mactual )
        = $false )
      | ( ( eiw_di @ SV32 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1241]) ).

thf(1276,plain,
    ! [SV194: $i] :
      ( ( ( ~ ( inductive @ SV194 @ mactual ) )
        = $true )
      | ( ( subclass @ sK4_SX0 @ SV194 @ mactual )
        = $true )
      | ( ( eiw_di @ SV194 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1248]) ).

thf(1277,plain,
    ! [SV125: $i,SV55: $i,SV192: $i] :
      ( ( ( ~ ( member @ SV192 @ SV55 @ mactual )
          | ~ ( member @ SV192 @ SV125 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV192 @ mactual )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1250]) ).

thf(1278,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV55 @ mactual ) )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1251]) ).

thf(1279,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( ~ ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV125 @ mactual ) )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1251]) ).

thf(1280,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ( member @ SV126 @ universal_class @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1252]) ).

thf(1281,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1252]) ).

thf(1282,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ( member @ SV126 @ universal_class @ mactual )
          | ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) )
        = $true )
      | ( ( member @ SV56 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1253]) ).

thf(1283,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( member @ SV57 @ universal_class @ mactual ) )
        = $false )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1254]) ).

thf(1284,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
              | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
        = $false )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1254]) ).

thf(1285,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ~ ( member @ SV57 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
              | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
        = $true )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1255]) ).

thf(1286,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1256]) ).

thf(1287,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1257]) ).

thf(1288,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
          | ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1259]) ).

thf(1289,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1262]) ).

thf(1290,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
                | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1263]) ).

thf(1291,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
              | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1264]) ).

thf(1292,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
                | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1265]) ).

thf(1293,plain,
    ! [SV190: $i,SV181: $i,SV142: $i,SV76: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual ) )
        = $true )
      | ( ( ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
              | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1266]) ).

thf(1294,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( ~ ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
                | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1267]) ).

thf(1295,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( member @ SV182 @ SV78 @ mactual ) )
        = $false )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1268]) ).

thf(1296,plain,
    ! [SV78: $i,SV144: $i,SV182: $i] :
      ( ( ( ~ ( member @ SV182 @ SV144 @ mactual ) )
        = $false )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1268]) ).

thf(1297,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( ~ ( member @ SV182 @ SV78 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV182 @ SV144 @ mactual ) )
        = $true )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1269]) ).

thf(1298,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( eiw_di @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1271]) ).

thf(1299,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( member @ SV8 @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
              | ~ ( member @ ( sK8_SY123 @ SV88 @ SV8 ) @ SV88 @ mactual ) ) )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1272]) ).

thf(1300,plain,
    ! [SV88: $i,SV8: $i,SV193: $i] :
      ( ( ( eiw_di @ SV193 @ mactual )
        = $false )
      | ( ( ~ ~ ( ~ ( member @ SV8 @ SV193 @ mactual )
                | ~ ( member @ SV193 @ SV88 @ mactual ) ) )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1273]) ).

thf(1301,plain,
    ! [SV194: $i] :
      ( ( ( inductive @ SV194 @ mactual )
        = $false )
      | ( ( subclass @ sK4_SX0 @ SV194 @ mactual )
        = $true )
      | ( ( eiw_di @ SV194 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1276]) ).

thf(1302,plain,
    ! [SV125: $i,SV55: $i,SV192: $i] :
      ( ( ( ~ ( member @ SV192 @ SV55 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV192 @ SV125 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV192 @ mactual )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1277]) ).

thf(1303,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV55 @ mactual )
        = $true )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1278]) ).

thf(1304,plain,
    ! [SV55: $i,SV125: $i] :
      ( ( ( member @ ( sK7_SY147 @ SV125 @ SV55 ) @ SV125 @ mactual )
        = $true )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $true )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1279]) ).

thf(1305,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( member @ SV126 @ universal_class @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1280]) ).

thf(1306,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $false )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1281]) ).

thf(1307,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( ~ ( member @ SV126 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) )
        = $true )
      | ( ( member @ SV56 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1282]) ).

thf(1308,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( member @ SV57 @ universal_class @ mactual )
        = $true )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1283]) ).

thf(1309,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ( qmltpeq @ SV57 @ SV127 @ mactual )
          | ( qmltpeq @ SV57 @ SV170 @ mactual ) )
        = $true )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1284]) ).

thf(1310,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( member @ SV57 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ( ( qmltpeq @ SV57 @ SV127 @ mactual )
              | ( qmltpeq @ SV57 @ SV170 @ mactual ) ) )
        = $true )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1285]) ).

thf(1311,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1286]) ).

thf(1312,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) ) )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1287]) ).

thf(1313,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1288]) ).

thf(1314,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual ) )
        = $false )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1288]) ).

thf(1315,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1289]) ).

thf(1316,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
              | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) ) )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1290]) ).

thf(1317,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
              | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1291]) ).

thf(1318,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( ~ ( member @ SV180 @ universal_class @ mactual )
              | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1292]) ).

thf(1319,plain,
    ! [SV190: $i,SV181: $i,SV142: $i,SV76: $i] :
      ( ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $false )
      | ( ( ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
              | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1293]) ).

thf(1320,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( ~ ( ~ ( member @ SV76 @ SV181 @ mactual )
              | ~ ( member @ SV142 @ SV190 @ mactual ) ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1294]) ).

thf(1321,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( member @ SV182 @ SV78 @ mactual )
        = $true )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1295]) ).

thf(1322,plain,
    ! [SV78: $i,SV144: $i,SV182: $i] :
      ( ( ( member @ SV182 @ SV144 @ mactual )
        = $true )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1296]) ).

thf(1323,plain,
    ! [SV144: $i,SV78: $i,SV182: $i] :
      ( ( ( member @ SV182 @ SV78 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV182 @ SV144 @ mactual ) )
        = $true )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1297]) ).

thf(1324,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ( member @ SV8 @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
          | ~ ( member @ ( sK8_SY123 @ SV88 @ SV8 ) @ SV88 @ mactual ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1299]) ).

thf(1325,plain,
    ! [SV88: $i,SV193: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( member @ SV8 @ SV193 @ mactual )
              | ~ ( member @ SV193 @ SV88 @ mactual ) ) )
        = $false )
      | ( ( eiw_di @ SV193 @ mactual )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1300]) ).

thf(1326,plain,
    ! [SV125: $i,SV55: $i,SV192: $i] :
      ( ( ( member @ SV192 @ SV55 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV192 @ SV125 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV192 @ mactual )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1302]) ).

thf(1327,plain,
    ! [SV56: $i,SV126: $i] :
      ( ( ( member @ SV126 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual ) )
        = $true )
      | ( ( member @ SV56 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1307]) ).

thf(1328,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( qmltpeq @ SV57 @ SV127 @ mactual )
        = $true )
      | ( ( qmltpeq @ SV57 @ SV170 @ mactual )
        = $true )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1309]) ).

thf(1329,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( ( qmltpeq @ SV57 @ SV127 @ mactual )
          | ( qmltpeq @ SV57 @ SV170 @ mactual ) )
        = $false )
      | ( ( member @ SV57 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1310]) ).

thf(1330,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1311]) ).

thf(1331,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1312]) ).

thf(1332,plain,
    ! [SV62: $i] :
      ( ( ( member @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
        = $true )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1313]) ).

thf(1333,plain,
    ! [SV62: $i] :
      ( ( ( disjoint @ ( sK5_SY84 @ SV62 ) @ SV62 @ mactual )
        = $true )
      | ( ( qmltpeq @ SV62 @ null_class @ mactual )
        = $true )
      | ( ( eiw_di @ SV62 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1314]) ).

thf(1334,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1315]) ).

thf(1335,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
          | ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1316]) ).

thf(1336,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( member @ SV180 @ universal_class @ mactual )
          | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1317]) ).

thf(1337,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( member @ SV180 @ universal_class @ mactual )
          | ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1318]) ).

thf(1338,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( ~ ( member @ SV76 @ SV181 @ mactual )
          | ~ ( member @ SV142 @ SV190 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1319]) ).

thf(1339,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( ~ ( member @ SV76 @ SV181 @ mactual )
          | ~ ( member @ SV142 @ SV190 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1320]) ).

thf(1340,plain,
    ! [SV78: $i,SV144: $i,SV182: $i] :
      ( ( ( member @ SV182 @ SV144 @ mactual )
        = $false )
      | ( ( member @ SV182 @ SV78 @ mactual )
        = $false )
      | ( ( member @ SV182 @ ( intersection @ SV78 @ SV144 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV182 @ mactual )
        = $false )
      | ( ( eiw_di @ SV144 @ mactual )
        = $false )
      | ( ( eiw_di @ SV78 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1323]) ).

thf(1341,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( ~ ( member @ SV8 @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1324]) ).

thf(1342,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( ~ ( member @ ( sK8_SY123 @ SV88 @ SV8 ) @ SV88 @ mactual ) )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1324]) ).

thf(1343,plain,
    ! [SV88: $i,SV193: $i,SV8: $i] :
      ( ( ( ~ ( member @ SV8 @ SV193 @ mactual )
          | ~ ( member @ SV193 @ SV88 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV193 @ mactual )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1325]) ).

thf(1344,plain,
    ! [SV55: $i,SV125: $i,SV192: $i] :
      ( ( ( member @ SV192 @ SV125 @ mactual )
        = $false )
      | ( ( member @ SV192 @ SV55 @ mactual )
        = $false )
      | ( ( eiw_di @ SV192 @ mactual )
        = $false )
      | ( ( disjoint @ SV55 @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV125 @ mactual )
        = $false )
      | ( ( eiw_di @ SV55 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1326]) ).

thf(1345,plain,
    ! [SV126: $i,SV56: $i] :
      ( ( ( qmltpeq @ ( successor @ SV56 ) @ SV126 @ mactual )
        = $false )
      | ( ( member @ SV126 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV56 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ SV56 @ SV126 ) @ successor_relation @ mactual )
        = $true )
      | ( ( eiw_di @ SV126 @ mactual )
        = $false )
      | ( ( eiw_di @ SV56 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1327]) ).

thf(1346,plain,
    ! [SV170: $i,SV127: $i,SV57: $i] :
      ( ( ( qmltpeq @ SV57 @ SV127 @ mactual )
        = $false )
      | ( ( member @ SV57 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1329]) ).

thf(1347,plain,
    ! [SV127: $i,SV170: $i,SV57: $i] :
      ( ( ( qmltpeq @ SV57 @ SV170 @ mactual )
        = $false )
      | ( ( member @ SV57 @ universal_class @ mactual )
        = $false )
      | ( ( member @ SV57 @ ( unordered_pair @ SV127 @ SV170 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV170 @ mactual )
        = $false )
      | ( ( eiw_di @ SV127 @ mactual )
        = $false )
      | ( ( eiw_di @ SV57 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1329]) ).

thf(1348,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1330]) ).

thf(1349,plain,
    ! [SV60: $i,SV129: $i,SV187: $i,SV172: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1330]) ).

thf(1350,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual ) )
        = $true )
      | ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1331]) ).

thf(1351,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1334]) ).

thf(1352,plain,
    ! [SV188: $i,SV179: $i,SV74: $i,SV140: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1334]) ).

thf(1353,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual ) )
        = $true )
      | ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1335]) ).

thf(1354,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( member @ SV180 @ universal_class @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1336]) ).

thf(1355,plain,
    ! [SV75: $i,SV180: $i,SV141: $i,SV189: $i] :
      ( ( ( ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1336]) ).

thf(1356,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( ~ ( member @ SV180 @ universal_class @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1337]) ).

thf(1357,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( ~ ( member @ SV76 @ SV181 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1338]) ).

thf(1358,plain,
    ! [SV181: $i,SV76: $i,SV190: $i,SV142: $i] :
      ( ( ( ~ ( member @ SV142 @ SV190 @ mactual ) )
        = $false )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1338]) ).

thf(1359,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( ~ ( member @ SV76 @ SV181 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV142 @ SV190 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1339]) ).

thf(1360,plain,
    ! [SV88: $i,SV8: $i] :
      ( ( ( member @ SV8 @ ( sK8_SY123 @ SV88 @ SV8 ) @ mactual )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1341]) ).

thf(1361,plain,
    ! [SV8: $i,SV88: $i] :
      ( ( ( member @ ( sK8_SY123 @ SV88 @ SV8 ) @ SV88 @ mactual )
        = $true )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1342]) ).

thf(1362,plain,
    ! [SV88: $i,SV193: $i,SV8: $i] :
      ( ( ( ~ ( member @ SV8 @ SV193 @ mactual ) )
        = $true )
      | ( ( ~ ( member @ SV193 @ SV88 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV193 @ mactual )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1343]) ).

thf(1363,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1348]) ).

thf(1364,plain,
    ! [SV60: $i,SV129: $i,SV187: $i,SV172: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1349]) ).

thf(1365,plain,
    ! [SV60: $i,SV187: $i,SV172: $i,SV129: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $false )
      | ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1350]) ).

thf(1366,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1351]) ).

thf(1367,plain,
    ! [SV188: $i,SV179: $i,SV74: $i,SV140: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1352]) ).

thf(1368,plain,
    ! [SV188: $i,SV179: $i,SV140: $i,SV74: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $false )
      | ( ( ~ ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1353]) ).

thf(1369,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( member @ SV180 @ universal_class @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1354]) ).

thf(1370,plain,
    ! [SV75: $i,SV180: $i,SV141: $i,SV189: $i] :
      ( ( ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1355]) ).

thf(1371,plain,
    ! [SV75: $i,SV141: $i,SV189: $i,SV180: $i] :
      ( ( ( member @ SV180 @ universal_class @ mactual )
        = $false )
      | ( ( ~ ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1356]) ).

thf(1372,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( member @ SV76 @ SV181 @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1357]) ).

thf(1373,plain,
    ! [SV181: $i,SV76: $i,SV190: $i,SV142: $i] :
      ( ( ( member @ SV142 @ SV190 @ mactual )
        = $true )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $false )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1358]) ).

thf(1374,plain,
    ! [SV190: $i,SV142: $i,SV181: $i,SV76: $i] :
      ( ( ( member @ SV76 @ SV181 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV142 @ SV190 @ mactual ) )
        = $true )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1359]) ).

thf(1375,plain,
    ! [SV88: $i,SV193: $i,SV8: $i] :
      ( ( ( member @ SV8 @ SV193 @ mactual )
        = $false )
      | ( ( ~ ( member @ SV193 @ SV88 @ mactual ) )
        = $true )
      | ( ( eiw_di @ SV193 @ mactual )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1362]) ).

thf(1376,plain,
    ! [SV60: $i,SV129: $i,SV187: $i,SV172: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV172 @ SV187 ) @ SV129 ) @ SV60 @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV129 @ SV172 ) @ SV187 ) @ ( rotate @ SV60 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV187 @ mactual )
        = $false )
      | ( ( eiw_di @ SV172 @ mactual )
        = $false )
      | ( ( eiw_di @ SV129 @ mactual )
        = $false )
      | ( ( eiw_di @ SV60 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1365]) ).

thf(1377,plain,
    ! [SV188: $i,SV179: $i,SV74: $i,SV140: $i] :
      ( ( ( member @ ( ordered_pair @ ( ordered_pair @ SV140 @ SV74 ) @ SV179 ) @ SV188 @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( cross_product @ ( cross_product @ universal_class @ universal_class ) @ universal_class ) @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ ( ordered_pair @ SV74 @ SV140 ) @ SV179 ) @ ( flip @ SV188 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV188 @ mactual )
        = $false )
      | ( ( eiw_di @ SV179 @ mactual )
        = $false )
      | ( ( eiw_di @ SV140 @ mactual )
        = $false )
      | ( ( eiw_di @ SV74 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1368]) ).

thf(1378,plain,
    ! [SV75: $i,SV180: $i,SV141: $i,SV189: $i] :
      ( ( ( member @ SV189 @ ( image @ SV141 @ ( image @ SV141 @ ( singleton @ SV180 ) ) ) @ mactual )
        = $false )
      | ( ( member @ SV180 @ universal_class @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ SV180 @ SV189 ) @ ( compose @ SV141 @ SV75 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV189 @ mactual )
        = $false )
      | ( ( eiw_di @ SV180 @ mactual )
        = $false )
      | ( ( eiw_di @ SV141 @ mactual )
        = $false )
      | ( ( eiw_di @ SV75 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1371]) ).

thf(1379,plain,
    ! [SV181: $i,SV76: $i,SV190: $i,SV142: $i] :
      ( ( ( member @ SV142 @ SV190 @ mactual )
        = $false )
      | ( ( member @ SV76 @ SV181 @ mactual )
        = $false )
      | ( ( member @ ( ordered_pair @ SV76 @ SV142 ) @ ( cross_product @ SV181 @ SV190 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV190 @ mactual )
        = $false )
      | ( ( eiw_di @ SV181 @ mactual )
        = $false )
      | ( ( eiw_di @ SV142 @ mactual )
        = $false )
      | ( ( eiw_di @ SV76 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1374]) ).

thf(1380,plain,
    ! [SV8: $i,SV88: $i,SV193: $i] :
      ( ( ( member @ SV193 @ SV88 @ mactual )
        = $false )
      | ( ( member @ SV8 @ SV193 @ mactual )
        = $false )
      | ( ( eiw_di @ SV193 @ mactual )
        = $false )
      | ( ( member @ SV8 @ ( sum_class @ SV88 ) @ mactual )
        = $true )
      | ( ( eiw_di @ SV88 @ mactual )
        = $false )
      | ( ( eiw_di @ SV8 @ mactual )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1375]) ).

thf(1381,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[202,1380,1379,1378,1377,1376,1373,1372,1370,1369,1367,1366,1364,1363,1361,1360,1347,1346,1345,1344,1340,1333,1332,1328,1322,1321,1308,1306,1305,1304,1303,1301,1298,1275,1274,1270,1261,1260,1258,1249,1247,1246,1245,1244,1243,1242,1240,1238,1237,1236,1235,1234,1233,1229,1218,1217,1208,1206,1201,1200,1195,1193,1188,1185,1184,1183,1178,1175,1174,1115,1113,1106,1103,1098,1095,1083,1071,1069,1068,1067,1066,1059,1058,1057,1049,1048,1039,1037,1036,1034,1033,1028,1027,1023,1016,1013,1011,917,913,887,878,877,876,874,861,848,845,844,830,825,814,812,809,725,723,702,697,682,672,667,619,614,556,553,498,493,477,473,471,446,443,442,436,344,261,235]) ).

thf(1382,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1381]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET055^12 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.14  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 12:17:32 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  
% 0.20/0.46   No.of.Axioms: 85
% 0.20/0.46  
% 0.20/0.46   Length.of.Defs: 1623
% 0.20/0.46  
% 0.20/0.46   Contains.Choice.Funs: false
% 0.20/0.55  (rf:0,axioms:85,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:87,loop_count:0,foatp_calls:0,translation:fof_full).........................................................................
% 0.96/1.21  
% 0.96/1.21  ********************************
% 0.96/1.21  *   All subproblems solved!    *
% 0.96/1.21  ********************************
% 0.96/1.21  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:85,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1381,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.63/1.88  
% 1.63/1.88  %**** Beginning of derivation protocol ****
% 1.63/1.88  % SZS output start CNFRefutation
% See solution above
% 1.63/1.88  
% 1.63/1.88  %**** End of derivation protocol ****
% 1.63/1.88  %**** no. of clauses in derivation: 1382 ****
% 1.63/1.88  %**** clause counter: 1381 ****
% 1.63/1.88  
% 1.63/1.88  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:85,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1381,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------