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