%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SET108+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:39:37 AM UTC 2026
% Result : Theorem 1.67s 0.50s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 16
% Syntax : Number of formulae : 340 ( 145 unt; 0 typ; 0 def)
% Number of atoms : 2329 ( 799 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 4960 (1412 ~; 760 |; 60 &;2689 @)
% ( 30 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 41 ( 38 usr; 8 con; 0-3 aty)
% Number of variables : 899 ( 0 ^; 869 !; 30 ?; 899 :)
% Comments :
%------------------------------------------------------------------------------
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 > $o ).
thf(tp_domain_of,type,
domain_of: $i > $i ).
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 > $o ).
thf(tp_identity_relation,type,
identity_relation: $i ).
thf(tp_image,type,
image: $i > $i > $i ).
thf(tp_inductive,type,
inductive: $i > $o ).
thf(tp_intersection,type,
intersection: $i > $i > $i ).
thf(tp_inverse,type,
inverse: $i > $i ).
thf(tp_member,type,
member: $i > $i > $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_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: $i ).
thf(tp_sK2_SY68,type,
sK2_SY68: $i > $i > $i ).
thf(tp_sK3_SY60,type,
sK3_SY60: $i > $i ).
thf(tp_sK4_SY76,type,
sK4_SY76: $i > $i > $i ).
thf(tp_sK5_SY70,type,
sK5_SY70: $i > $i > $i ).
thf(tp_sK6_SX2,type,
sK6_SX2: $i > $i > $i ).
thf(tp_sK7_SY83,type,
sK7_SY83: $i > $i > $i ).
thf(tp_second,type,
second: $i > $i ).
thf(tp_singleton,type,
singleton: $i > $i ).
thf(tp_subclass,type,
subclass: $i > $i > $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(4,axiom,
! [X: $i,Y: $i] :
( ( disjoint @ X @ Y )
<=> ! [U: $i] :
~ ( ( member @ U @ X )
& ( member @ U @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).
thf(7,axiom,
! [Z: $i] :
( ( member @ Z @ identity_relation )
<=> ? [X: $i] :
( ( member @ X @ universal_class )
& ( Z
= ( ordered_pair @ X @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_relation) ).
thf(10,axiom,
! [U: $i] :
( ( member @ U @ universal_class )
=> ( member @ ( power_class @ U ) @ universal_class ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class) ).
thf(12,axiom,
! [X: $i] :
( ( member @ X @ universal_class )
=> ( member @ ( sum_class @ X ) @ universal_class ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class) ).
thf(13,axiom,
! [U: $i,X: $i] :
( ( member @ U @ ( sum_class @ X ) )
<=> ? [Y: $i] :
( ( member @ U @ Y )
& ( member @ Y @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_class_defn) ).
thf(22,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( member @ Z @ ( union @ X @ Y ) )
<=> ( ( member @ Z @ X )
| ( member @ Z @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
thf(28,axiom,
! [X: $i] :
~ ( member @ X @ null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).
thf(30,axiom,
! [X: $i,Z: $i] :
( ( member @ Z @ ( complement @ X ) )
<=> ( ( member @ Z @ universal_class )
& ~ ( member @ Z @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
thf(31,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( member @ Z @ ( intersection @ X @ Y ) )
<=> ( ( member @ Z @ X )
& ( member @ Z @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
thf(33,axiom,
! [X: $i,Y: $i] :
( ( member @ ( ordered_pair @ X @ Y ) @ element_relation )
<=> ( ( member @ Y @ universal_class )
& ( member @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_relation_defn) ).
thf(36,axiom,
! [U: $i,V: $i,X: $i,Y: $i] :
( ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) )
<=> ( ( member @ U @ X )
& ( member @ V @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cross_product_defn) ).
thf(39,axiom,
! [X: $i,Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
thf(40,axiom,
! [U: $i,X: $i,Y: $i] :
( ( member @ U @ ( unordered_pair @ X @ Y ) )
<=> ( ( member @ U @ universal_class )
& ( ( U = X )
| ( U = Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
thf(42,axiom,
! [X: $i] : ( subclass @ X @ universal_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
thf(43,axiom,
! [X: $i,Y: $i] :
( ( subclass @ X @ Y )
<=> ! [U: $i] :
( ( member @ U @ X )
=> ( member @ U @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
thf(44,conjecture,
! [X: $i] :
? [U: $i,V: $i] :
( ( ( member @ U @ universal_class )
& ( member @ V @ universal_class )
& ( X
= ( ordered_pair @ U @ V ) ) )
| ( ~ ? [Y: $i,Z: $i] :
( ( member @ Y @ universal_class )
& ( member @ Z @ universal_class )
& ( X
= ( ordered_pair @ Y @ Z ) ) )
& ( U = X )
& ( V = X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_first_and_second) ).
thf(45,negated_conjecture,
( ( ! [X: $i] :
? [U: $i,V: $i] :
( ( ( member @ U @ universal_class )
& ( member @ V @ universal_class )
& ( X
= ( ordered_pair @ U @ V ) ) )
| ( ~ ? [Y: $i,Z: $i] :
( ( member @ Y @ universal_class )
& ( member @ Z @ universal_class )
& ( X
= ( ordered_pair @ Y @ Z ) ) )
& ( U = X )
& ( V = X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[44]) ).
thf(46,plain,
( ( ! [X: $i] :
? [U: $i,V: $i] :
( ( ( member @ U @ universal_class )
& ( member @ V @ universal_class )
& ( X
= ( ordered_pair @ U @ V ) ) )
| ( ~ ? [Y: $i,Z: $i] :
( ( member @ Y @ universal_class )
& ( member @ Z @ universal_class )
& ( X
= ( ordered_pair @ Y @ Z ) ) )
& ( U = X )
& ( V = X ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[45]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i] :
( ( disjoint @ X @ Y )
<=> ! [U: $i] :
~ ( ( member @ U @ X )
& ( member @ U @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(48,plain,
( ( ! [Z: $i] :
( ( member @ Z @ identity_relation )
<=> ? [X: $i] :
( ( member @ X @ universal_class )
& ( Z
= ( ordered_pair @ X @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(49,plain,
( ( ! [U: $i] :
( ( member @ U @ universal_class )
=> ( member @ ( power_class @ U ) @ universal_class ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(50,plain,
( ( ! [X: $i] :
( ( member @ X @ universal_class )
=> ( member @ ( sum_class @ X ) @ universal_class ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(51,plain,
( ( ! [U: $i,X: $i] :
( ( member @ U @ ( sum_class @ X ) )
<=> ? [Y: $i] :
( ( member @ U @ Y )
& ( member @ Y @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( member @ Z @ ( union @ X @ Y ) )
<=> ( ( member @ Z @ X )
| ( member @ Z @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(53,plain,
( ( ! [X: $i] :
~ ( member @ X @ null_class ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(54,plain,
( ( ! [X: $i,Z: $i] :
( ( member @ Z @ ( complement @ X ) )
<=> ( ( member @ Z @ universal_class )
& ~ ( member @ Z @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(55,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( member @ Z @ ( intersection @ X @ Y ) )
<=> ( ( member @ Z @ X )
& ( member @ Z @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(56,plain,
( ( ! [X: $i,Y: $i] :
( ( member @ ( ordered_pair @ X @ Y ) @ element_relation )
<=> ( ( member @ Y @ universal_class )
& ( member @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(57,plain,
( ( ! [U: $i,V: $i,X: $i,Y: $i] :
( ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) )
<=> ( ( member @ U @ X )
& ( member @ V @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(59,plain,
( ( ! [U: $i,X: $i,Y: $i] :
( ( member @ U @ ( unordered_pair @ X @ Y ) )
<=> ( ( member @ U @ universal_class )
& ( ( U = X )
| ( U = Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(60,plain,
( ( ! [X: $i] : ( subclass @ X @ universal_class ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i] :
( ( subclass @ X @ Y )
<=> ! [U: $i] :
( ( member @ U @ X )
=> ( member @ U @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(62,plain,
( ( ? [SY39: $i,SY40: $i] :
( ( ( member @ SY39 @ universal_class )
& ( member @ SY40 @ universal_class )
& ( sK1_X
= ( ordered_pair @ SY39 @ SY40 ) ) )
| ( ~ ? [SY41: $i,SY42: $i] :
( ( member @ SY41 @ universal_class )
& ( member @ SY42 @ universal_class )
& ( sK1_X
= ( ordered_pair @ SY41 @ SY42 ) ) )
& ( SY39 = sK1_X )
& ( SY40 = sK1_X ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(63,plain,
( ( ~ ? [SY39: $i,SY40: $i] :
( ( ( member @ SY39 @ universal_class )
& ( member @ SY40 @ universal_class )
& ( sK1_X
= ( ordered_pair @ SY39 @ SY40 ) ) )
| ( ~ ? [SY41: $i,SY42: $i] :
( ( member @ SY41 @ universal_class )
& ( member @ SY42 @ universal_class )
& ( sK1_X
= ( ordered_pair @ SY41 @ SY42 ) ) )
& ( SY39 = sK1_X )
& ( SY40 = sK1_X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[62]) ).
thf(64,plain,
( ( ! [X: $i,Y: $i] :
( ( subclass @ X @ Y )
<=> ! [U: $i] :
( ( member @ U @ X )
=> ( member @ U @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(65,plain,
( ( ! [X: $i] : ( subclass @ X @ universal_class ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(66,plain,
( ( ! [U: $i,X: $i,Y: $i] :
( ( member @ U @ ( unordered_pair @ X @ Y ) )
<=> ( ( member @ U @ universal_class )
& ( ( U = X )
| ( U = Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(67,plain,
( ( ! [X: $i,Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(68,plain,
( ( ! [U: $i,V: $i,X: $i,Y: $i] :
( ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) )
<=> ( ( member @ U @ X )
& ( member @ V @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i] :
( ( member @ ( ordered_pair @ X @ Y ) @ element_relation )
<=> ( ( member @ Y @ universal_class )
& ( member @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( member @ Z @ ( intersection @ X @ Y ) )
<=> ( ( member @ Z @ X )
& ( member @ Z @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(71,plain,
( ( ! [X: $i,Z: $i] :
( ( member @ Z @ ( complement @ X ) )
<=> ( ( member @ Z @ universal_class )
& ~ ( member @ Z @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(72,plain,
( ( ! [X: $i] :
~ ( member @ X @ null_class ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(73,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( member @ Z @ ( union @ X @ Y ) )
<=> ( ( member @ Z @ X )
| ( member @ Z @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(74,plain,
( ( ! [U: $i,X: $i] :
( ( member @ U @ ( sum_class @ X ) )
<=> ? [Y: $i] :
( ( member @ U @ Y )
& ( member @ Y @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(75,plain,
( ( ! [X: $i] :
( ( member @ X @ universal_class )
=> ( member @ ( sum_class @ X ) @ universal_class ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(76,plain,
( ( ! [U: $i] :
( ( member @ U @ universal_class )
=> ( member @ ( power_class @ U ) @ universal_class ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(77,plain,
( ( ! [Z: $i] :
( ( member @ Z @ identity_relation )
<=> ? [X: $i] :
( ( member @ X @ universal_class )
& ( Z
= ( ordered_pair @ X @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(78,plain,
( ( ! [X: $i,Y: $i] :
( ( disjoint @ X @ Y )
<=> ! [U: $i] :
~ ( ( member @ U @ X )
& ( member @ U @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(79,plain,
( ( ~ ? [SY39: $i,SY40: $i] :
( ( ( member @ SY39 @ universal_class )
& ( member @ SY40 @ universal_class )
& ( sK1_X
= ( ordered_pair @ SY39 @ SY40 ) ) )
| ( ~ ? [SY41: $i,SY42: $i] :
( ( member @ SY41 @ universal_class )
& ( member @ SY42 @ universal_class )
& ( sK1_X
= ( ordered_pair @ SY41 @ SY42 ) ) )
& ( SY39 = sK1_X )
& ( SY40 = sK1_X ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( member @ SX0 @ ( unordered_pair @ SX1 @ SX2 ) )
| ~ ( ~ ( member @ SX0 @ universal_class )
| ~ ( ( SX0 = SX1 )
| ( SX0 = SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX0 @ universal_class )
| ~ ( ( SX0 = SX1 )
| ( SX0 = SX2 ) ) )
| ( member @ SX0 @ ( unordered_pair @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(81,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( subclass @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ( subclass @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(82,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( member @ SX2 @ ( union @ SX0 @ SX1 ) )
| ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ~ ( ~ ( ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ( member @ SX2 @ ( union @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( member @ SX1 @ ( complement @ SX0 ) )
| ~ ( ~ ( member @ SX1 @ universal_class )
| ~ ~ ( member @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX1 @ universal_class )
| ~ ~ ( member @ SX1 @ SX0 ) )
| ( member @ SX1 @ ( complement @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(84,plain,
( ( ! [SX0: $i] :
( ~ ( member @ SX0 @ universal_class )
| ( member @ ( sum_class @ SX0 ) @ universal_class ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(85,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( member @ SX0 @ ( sum_class @ SX1 ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( member @ SX0 @ SX2 )
| ~ ( member @ SX2 @ SX1 ) ) )
| ~ ( ~ ~ ! [SX2: $i] :
~ ~ ( ~ ( member @ SX0 @ SX2 )
| ~ ( member @ SX2 @ SX1 ) )
| ( member @ SX0 @ ( sum_class @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(86,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( member @ ( ordered_pair @ SX0 @ SX1 ) @ ( cross_product @ SX2 @ SX3 ) )
| ~ ( ~ ( member @ SX0 @ SX2 )
| ~ ( member @ SX1 @ SX3 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX0 @ SX2 )
| ~ ( member @ SX1 @ SX3 ) )
| ( member @ ( ordered_pair @ SX0 @ SX1 ) @ ( cross_product @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(87,plain,
( ( ! [SX0: $i] :
( ~ ( member @ SX0 @ universal_class )
| ( member @ ( power_class @ SX0 ) @ universal_class ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(88,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( member @ SX2 @ ( intersection @ SX0 @ SX1 ) )
| ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX2 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX2 @ SX1 ) )
| ( member @ SX2 @ ( intersection @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(89,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( member @ SX0 @ identity_relation )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( member @ SX1 @ universal_class )
| ( SX0
!= ( ordered_pair @ SX1 @ SX1 ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( member @ SX1 @ universal_class )
| ( SX0
!= ( ordered_pair @ SX1 @ SX1 ) ) )
| ( member @ SX0 @ identity_relation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(90,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( disjoint @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX2 @ SX1 ) ) )
| ~ ( ~ ! [SX2: $i] :
~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX2 @ SX1 ) )
| ( disjoint @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(91,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( member @ ( ordered_pair @ SX0 @ SX1 ) @ element_relation )
| ~ ( ~ ( member @ SX1 @ universal_class )
| ~ ( member @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX1 @ universal_class )
| ~ ( member @ SX0 @ SX1 ) )
| ( member @ ( ordered_pair @ SX0 @ SX1 ) @ element_relation ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(92,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ( ~ ( ~ ~ ( ~ ( member @ SX0 @ universal_class )
| ~ ( member @ SX1 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SX0 != sK1_X ) )
| ( SX1 != sK1_X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(93,plain,
! [SV1: $i] :
( ( subclass @ SV1 @ universal_class )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(94,plain,
! [SV2: $i] :
( ( ! [SY43: $i] : ( member @ ( unordered_pair @ SV2 @ SY43 ) @ universal_class ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(95,plain,
! [SV3: $i] :
( ( ~ ( member @ SV3 @ null_class ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(96,plain,
! [SV4: $i] :
( ( ! [SY44: $i,SY45: $i] :
~ ( ~ ( ~ ( member @ SV4 @ ( unordered_pair @ SY44 @ SY45 ) )
| ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SY44 )
| ( SV4 = SY45 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SY44 )
| ( SV4 = SY45 ) ) )
| ( member @ SV4 @ ( unordered_pair @ SY44 @ SY45 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(97,plain,
! [SV5: $i] :
( ( ! [SY46: $i] :
~ ( ~ ( ~ ( subclass @ SV5 @ SY46 )
| ! [SY47: $i] :
( ~ ( member @ SY47 @ SV5 )
| ( member @ SY47 @ SY46 ) ) )
| ~ ( ~ ! [SY48: $i] :
( ~ ( member @ SY48 @ SV5 )
| ( member @ SY48 @ SY46 ) )
| ( subclass @ SV5 @ SY46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(98,plain,
! [SV6: $i] :
( ( ! [SY49: $i,SY50: $i] :
~ ( ~ ( ~ ( member @ SY50 @ ( union @ SV6 @ SY49 ) )
| ( member @ SY50 @ SV6 )
| ( member @ SY50 @ SY49 ) )
| ~ ( ~ ( ( member @ SY50 @ SV6 )
| ( member @ SY50 @ SY49 ) )
| ( member @ SY50 @ ( union @ SV6 @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(99,plain,
! [SV7: $i] :
( ( ! [SY51: $i] :
~ ( ~ ( ~ ( member @ SY51 @ ( complement @ SV7 ) )
| ~ ( ~ ( member @ SY51 @ universal_class )
| ~ ~ ( member @ SY51 @ SV7 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY51 @ universal_class )
| ~ ~ ( member @ SY51 @ SV7 ) )
| ( member @ SY51 @ ( complement @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(100,plain,
! [SV8: $i] :
( ( ~ ( member @ SV8 @ universal_class )
| ( member @ ( sum_class @ SV8 ) @ universal_class ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(101,plain,
! [SV9: $i] :
( ( ! [SY52: $i] :
~ ( ~ ( ~ ( member @ SV9 @ ( sum_class @ SY52 ) )
| ~ ! [SY53: $i] :
~ ~ ( ~ ( member @ SV9 @ SY53 )
| ~ ( member @ SY53 @ SY52 ) ) )
| ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( member @ SV9 @ SY54 )
| ~ ( member @ SY54 @ SY52 ) )
| ( member @ SV9 @ ( sum_class @ SY52 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(102,plain,
! [SV10: $i] :
( ( ! [SY55: $i,SY56: $i,SY57: $i] :
~ ( ~ ( ~ ( member @ ( ordered_pair @ SV10 @ SY55 ) @ ( cross_product @ SY56 @ SY57 ) )
| ~ ( ~ ( member @ SV10 @ SY56 )
| ~ ( member @ SY55 @ SY57 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SY56 )
| ~ ( member @ SY55 @ SY57 ) )
| ( member @ ( ordered_pair @ SV10 @ SY55 ) @ ( cross_product @ SY56 @ SY57 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(103,plain,
! [SV11: $i] :
( ( ~ ( member @ SV11 @ universal_class )
| ( member @ ( power_class @ SV11 ) @ universal_class ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(104,plain,
! [SV12: $i] :
( ( ! [SY58: $i,SY59: $i] :
~ ( ~ ( ~ ( member @ SY59 @ ( intersection @ SV12 @ SY58 ) )
| ~ ( ~ ( member @ SY59 @ SV12 )
| ~ ( member @ SY59 @ SY58 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY59 @ SV12 )
| ~ ( member @ SY59 @ SY58 ) )
| ( member @ SY59 @ ( intersection @ SV12 @ SY58 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(105,plain,
! [SV13: $i] :
( ( ~ ( ~ ( ~ ( member @ SV13 @ identity_relation )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( member @ SY60 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY60 @ SY60 ) ) ) )
| ~ ( ~ ~ ! [SY61: $i] :
~ ~ ( ~ ( member @ SY61 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY61 @ SY61 ) ) )
| ( member @ SV13 @ identity_relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(106,plain,
! [SV14: $i] :
( ( ! [SY62: $i] :
~ ( ~ ( ~ ( disjoint @ SV14 @ SY62 )
| ! [SY63: $i] :
~ ~ ( ~ ( member @ SY63 @ SV14 )
| ~ ( member @ SY63 @ SY62 ) ) )
| ~ ( ~ ! [SY64: $i] :
~ ~ ( ~ ( member @ SY64 @ SV14 )
| ~ ( member @ SY64 @ SY62 ) )
| ( disjoint @ SV14 @ SY62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(107,plain,
! [SV15: $i] :
( ( ! [SY65: $i] :
~ ( ~ ( ~ ( member @ ( ordered_pair @ SV15 @ SY65 ) @ element_relation )
| ~ ( ~ ( member @ SY65 @ universal_class )
| ~ ( member @ SV15 @ SY65 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY65 @ universal_class )
| ~ ( member @ SV15 @ SY65 ) )
| ( member @ ( ordered_pair @ SV15 @ SY65 ) @ element_relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(108,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ( ~ ( ~ ~ ( ~ ( member @ SX0 @ universal_class )
| ~ ( member @ SX1 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SX0 != sK1_X ) )
| ( SX1 != sK1_X ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(109,plain,
! [SV16: $i,SV2: $i] :
( ( member @ ( unordered_pair @ SV2 @ SV16 ) @ universal_class )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(110,plain,
! [SV3: $i] :
( ( member @ SV3 @ null_class )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(111,plain,
! [SV17: $i,SV4: $i] :
( ( ! [SY66: $i] :
~ ( ~ ( ~ ( member @ SV4 @ ( unordered_pair @ SV17 @ SY66 ) )
| ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SY66 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SY66 ) ) )
| ( member @ SV4 @ ( unordered_pair @ SV17 @ SY66 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(112,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( subclass @ SV5 @ SV18 )
| ! [SY67: $i] :
( ~ ( member @ SY67 @ SV5 )
| ( member @ SY67 @ SV18 ) ) )
| ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV5 )
| ( member @ SY68 @ SV18 ) )
| ( subclass @ SV5 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(113,plain,
! [SV19: $i,SV6: $i] :
( ( ! [SY69: $i] :
~ ( ~ ( ~ ( member @ SY69 @ ( union @ SV6 @ SV19 ) )
| ( member @ SY69 @ SV6 )
| ( member @ SY69 @ SV19 ) )
| ~ ( ~ ( ( member @ SY69 @ SV6 )
| ( member @ SY69 @ SV19 ) )
| ( member @ SY69 @ ( union @ SV6 @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(114,plain,
! [SV7: $i,SV20: $i] :
( ( ~ ( ~ ( ~ ( member @ SV20 @ ( complement @ SV7 ) )
| ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) )
| ( member @ SV20 @ ( complement @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(115,plain,
! [SV8: $i] :
( ( ( ~ ( member @ SV8 @ universal_class ) )
= $true )
| ( ( member @ ( sum_class @ SV8 ) @ universal_class )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(116,plain,
! [SV21: $i,SV9: $i] :
( ( ~ ( ~ ( ~ ( member @ SV9 @ ( sum_class @ SV21 ) )
| ~ ! [SY70: $i] :
~ ~ ( ~ ( member @ SV9 @ SY70 )
| ~ ( member @ SY70 @ SV21 ) ) )
| ~ ( ~ ~ ! [SY71: $i] :
~ ~ ( ~ ( member @ SV9 @ SY71 )
| ~ ( member @ SY71 @ SV21 ) )
| ( member @ SV9 @ ( sum_class @ SV21 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(117,plain,
! [SV22: $i,SV10: $i] :
( ( ! [SY72: $i,SY73: $i] :
~ ( ~ ( ~ ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SY72 @ SY73 ) )
| ~ ( ~ ( member @ SV10 @ SY72 )
| ~ ( member @ SV22 @ SY73 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SY72 )
| ~ ( member @ SV22 @ SY73 ) )
| ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SY72 @ SY73 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(118,plain,
! [SV11: $i] :
( ( ( ~ ( member @ SV11 @ universal_class ) )
= $true )
| ( ( member @ ( power_class @ SV11 ) @ universal_class )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(119,plain,
! [SV23: $i,SV12: $i] :
( ( ! [SY74: $i] :
~ ( ~ ( ~ ( member @ SY74 @ ( intersection @ SV12 @ SV23 ) )
| ~ ( ~ ( member @ SY74 @ SV12 )
| ~ ( member @ SY74 @ SV23 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY74 @ SV12 )
| ~ ( member @ SY74 @ SV23 ) )
| ( member @ SY74 @ ( intersection @ SV12 @ SV23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(120,plain,
! [SV13: $i] :
( ( ~ ( ~ ( member @ SV13 @ identity_relation )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( member @ SY60 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY60 @ SY60 ) ) ) )
| ~ ( ~ ~ ! [SY61: $i] :
~ ~ ( ~ ( member @ SY61 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY61 @ SY61 ) ) )
| ( member @ SV13 @ identity_relation ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(121,plain,
! [SV24: $i,SV14: $i] :
( ( ~ ( ~ ( ~ ( disjoint @ SV14 @ SV24 )
| ! [SY75: $i] :
~ ~ ( ~ ( member @ SY75 @ SV14 )
| ~ ( member @ SY75 @ SV24 ) ) )
| ~ ( ~ ! [SY76: $i] :
~ ~ ( ~ ( member @ SY76 @ SV14 )
| ~ ( member @ SY76 @ SV24 ) )
| ( disjoint @ SV14 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(122,plain,
! [SV25: $i,SV15: $i] :
( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
| ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) )
| ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(123,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ( ~ ( ~ ~ ( ~ ( member @ SX0 @ universal_class )
| ~ ( member @ SX1 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SX0 != sK1_X ) )
| ( SX1 != sK1_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(124,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
| ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
| ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( ~ ( subclass @ SV5 @ SV18 )
| ! [SY67: $i] :
( ~ ( member @ SY67 @ SV5 )
| ( member @ SY67 @ SV18 ) ) )
| ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV5 )
| ( member @ SY68 @ SV18 ) )
| ( subclass @ SV5 @ SV18 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ~ ( ~ ( ~ ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
| ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
| ~ ( ~ ( ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
| ( member @ SV27 @ ( union @ SV6 @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV7: $i,SV20: $i] :
( ( ~ ( ~ ( member @ SV20 @ ( complement @ SV7 ) )
| ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) )
| ( member @ SV20 @ ( complement @ SV7 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(128,plain,
! [SV8: $i] :
( ( ( member @ SV8 @ universal_class )
= $false )
| ( ( member @ ( sum_class @ SV8 ) @ universal_class )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(129,plain,
! [SV21: $i,SV9: $i] :
( ( ~ ( ~ ( member @ SV9 @ ( sum_class @ SV21 ) )
| ~ ! [SY70: $i] :
~ ~ ( ~ ( member @ SV9 @ SY70 )
| ~ ( member @ SY70 @ SV21 ) ) )
| ~ ( ~ ~ ! [SY71: $i] :
~ ~ ( ~ ( member @ SV9 @ SY71 )
| ~ ( member @ SY71 @ SV21 ) )
| ( member @ SV9 @ ( sum_class @ SV21 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(130,plain,
! [SV28: $i,SV22: $i,SV10: $i] :
( ( ! [SY77: $i] :
~ ( ~ ( ~ ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SY77 ) )
| ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SY77 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SY77 ) )
| ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SY77 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(131,plain,
! [SV11: $i] :
( ( ( member @ SV11 @ universal_class )
= $false )
| ( ( member @ ( power_class @ SV11 ) @ universal_class )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ~ ( ~ ( ~ ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
| ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) )
| ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(133,plain,
! [SV13: $i] :
( ( ~ ( ~ ( member @ SV13 @ identity_relation )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( member @ SY60 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY60 @ SY60 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(134,plain,
! [SV13: $i] :
( ( ~ ( ~ ~ ! [SY61: $i] :
~ ~ ( ~ ( member @ SY61 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY61 @ SY61 ) ) )
| ( member @ SV13 @ identity_relation ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(135,plain,
! [SV24: $i,SV14: $i] :
( ( ~ ( ~ ( disjoint @ SV14 @ SV24 )
| ! [SY75: $i] :
~ ~ ( ~ ( member @ SY75 @ SV14 )
| ~ ( member @ SY75 @ SV24 ) ) )
| ~ ( ~ ! [SY76: $i] :
~ ~ ( ~ ( member @ SY76 @ SV14 )
| ~ ( member @ SY76 @ SV24 ) )
| ( disjoint @ SV14 @ SV24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(136,plain,
! [SV25: $i,SV15: $i] :
( ( ~ ( ~ ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
| ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) )
| ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV30: $i] :
( ( ~ ~ ! [SY78: $i] :
~ ( ~ ( ~ ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SY78 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SV30 @ SY78 ) ) )
| ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) )
| ( SY78 != sK1_X ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(138,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ~ ( ~ ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
| ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
| ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(139,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( ~ ( subclass @ SV5 @ SV18 )
| ! [SY67: $i] :
( ~ ( member @ SY67 @ SV5 )
| ( member @ SY67 @ SV18 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(140,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV5 )
| ( member @ SY68 @ SV18 ) )
| ( subclass @ SV5 @ SV18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(141,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ~ ( ~ ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
| ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
| ~ ( ~ ( ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
| ( member @ SV27 @ ( union @ SV6 @ SV19 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(142,plain,
! [SV7: $i,SV20: $i] :
( ( ~ ( ~ ( member @ SV20 @ ( complement @ SV7 ) )
| ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(143,plain,
! [SV7: $i,SV20: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) )
| ( member @ SV20 @ ( complement @ SV7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(144,plain,
! [SV21: $i,SV9: $i] :
( ( ~ ( ~ ( member @ SV9 @ ( sum_class @ SV21 ) )
| ~ ! [SY70: $i] :
~ ~ ( ~ ( member @ SV9 @ SY70 )
| ~ ( member @ SY70 @ SV21 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(145,plain,
! [SV21: $i,SV9: $i] :
( ( ~ ( ~ ~ ! [SY71: $i] :
~ ~ ( ~ ( member @ SV9 @ SY71 )
| ~ ( member @ SY71 @ SV21 ) )
| ( member @ SV9 @ ( sum_class @ SV21 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(146,plain,
! [SV31: $i,SV28: $i,SV22: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
| ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) )
| ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(147,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ~ ( ~ ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
| ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) )
| ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(148,plain,
! [SV13: $i] :
( ( ~ ( member @ SV13 @ identity_relation )
| ~ ! [SY60: $i] :
~ ~ ( ~ ( member @ SY60 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY60 @ SY60 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(149,plain,
! [SV13: $i] :
( ( ~ ~ ! [SY61: $i] :
~ ~ ( ~ ( member @ SY61 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY61 @ SY61 ) ) )
| ( member @ SV13 @ identity_relation ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(150,plain,
! [SV24: $i,SV14: $i] :
( ( ~ ( ~ ( disjoint @ SV14 @ SV24 )
| ! [SY75: $i] :
~ ~ ( ~ ( member @ SY75 @ SV14 )
| ~ ( member @ SY75 @ SV24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(151,plain,
! [SV24: $i,SV14: $i] :
( ( ~ ( ~ ! [SY76: $i] :
~ ~ ( ~ ( member @ SY76 @ SV14 )
| ~ ( member @ SY76 @ SV24 ) )
| ( disjoint @ SV14 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(152,plain,
! [SV25: $i,SV15: $i] :
( ( ~ ( ~ ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
| ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(153,plain,
! [SV15: $i,SV25: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) )
| ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(154,plain,
! [SV30: $i] :
( ( ~ ! [SY78: $i] :
~ ( ~ ( ~ ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SY78 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SV30 @ SY78 ) ) )
| ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) )
| ( SY78 != sK1_X ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(155,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ~ ( ~ ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
| ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(156,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
| ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(157,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( subclass @ SV5 @ SV18 )
| ! [SY67: $i] :
( ~ ( member @ SY67 @ SV5 )
| ( member @ SY67 @ SV18 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(158,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV5 )
| ( member @ SY68 @ SV18 ) )
| ( subclass @ SV5 @ SV18 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(159,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ~ ( ~ ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
| ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(160,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ~ ( ~ ( ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
| ( member @ SV27 @ ( union @ SV6 @ SV19 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(161,plain,
! [SV7: $i,SV20: $i] :
( ( ~ ( member @ SV20 @ ( complement @ SV7 ) )
| ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(162,plain,
! [SV7: $i,SV20: $i] :
( ( ~ ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) )
| ( member @ SV20 @ ( complement @ SV7 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(163,plain,
! [SV21: $i,SV9: $i] :
( ( ~ ( member @ SV9 @ ( sum_class @ SV21 ) )
| ~ ! [SY70: $i] :
~ ~ ( ~ ( member @ SV9 @ SY70 )
| ~ ( member @ SY70 @ SV21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(164,plain,
! [SV21: $i,SV9: $i] :
( ( ~ ~ ! [SY71: $i] :
~ ~ ( ~ ( member @ SV9 @ SY71 )
| ~ ( member @ SY71 @ SV21 ) )
| ( member @ SV9 @ ( sum_class @ SV21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(165,plain,
! [SV31: $i,SV28: $i,SV22: $i,SV10: $i] :
( ( ~ ( ~ ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
| ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) )
| ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(166,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ~ ( ~ ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
| ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(167,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) )
| ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(168,plain,
! [SV13: $i] :
( ( ( ~ ( member @ SV13 @ identity_relation ) )
= $true )
| ( ( ~ ! [SY60: $i] :
~ ~ ( ~ ( member @ SY60 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY60 @ SY60 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(169,plain,
! [SV13: $i] :
( ( ( ~ ~ ! [SY61: $i] :
~ ~ ( ~ ( member @ SY61 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY61 @ SY61 ) ) ) )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(170,plain,
! [SV24: $i,SV14: $i] :
( ( ~ ( disjoint @ SV14 @ SV24 )
| ! [SY75: $i] :
~ ~ ( ~ ( member @ SY75 @ SV14 )
| ~ ( member @ SY75 @ SV24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(171,plain,
! [SV24: $i,SV14: $i] :
( ( ~ ! [SY76: $i] :
~ ~ ( ~ ( member @ SY76 @ SV14 )
| ~ ( member @ SY76 @ SV24 ) )
| ( disjoint @ SV14 @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(172,plain,
! [SV25: $i,SV15: $i] :
( ( ~ ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
| ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(173,plain,
! [SV15: $i,SV25: $i] :
( ( ~ ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) )
| ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(174,plain,
! [SV30: $i] :
( ( ! [SY78: $i] :
~ ( ~ ( ~ ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SY78 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SV30 @ SY78 ) ) )
| ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) )
| ( SY78 != sK1_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(175,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ~ ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
| ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(176,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ~ ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
| ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(177,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( subclass @ SV5 @ SV18 ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( member @ SY67 @ SV5 )
| ( member @ SY67 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(178,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV5 )
| ( member @ SY68 @ SV18 ) ) )
= $true )
| ( ( subclass @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(179,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ~ ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
| ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(180,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ~ ( ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
| ( member @ SV27 @ ( union @ SV6 @ SV19 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(181,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ ( complement @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(182,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) ) )
= $true )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(183,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ ( sum_class @ SV21 ) ) )
= $true )
| ( ( ~ ! [SY70: $i] :
~ ~ ( ~ ( member @ SV9 @ SY70 )
| ~ ( member @ SY70 @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(184,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ~ ! [SY71: $i] :
~ ~ ( ~ ( member @ SV9 @ SY71 )
| ~ ( member @ SY71 @ SV21 ) ) )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(185,plain,
! [SV31: $i,SV28: $i,SV22: $i,SV10: $i] :
( ( ~ ( ~ ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
| ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(186,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) )
| ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(187,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ~ ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
| ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(188,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ~ ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) )
| ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(189,plain,
! [SV13: $i] :
( ( ( member @ SV13 @ identity_relation )
= $false )
| ( ( ~ ! [SY60: $i] :
~ ~ ( ~ ( member @ SY60 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY60 @ SY60 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(190,plain,
! [SV13: $i] :
( ( ( ~ ! [SY61: $i] :
~ ~ ( ~ ( member @ SY61 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY61 @ SY61 ) ) ) )
= $false )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(191,plain,
! [SV24: $i,SV14: $i] :
( ( ( ~ ( disjoint @ SV14 @ SV24 ) )
= $true )
| ( ( ! [SY75: $i] :
~ ~ ( ~ ( member @ SY75 @ SV14 )
| ~ ( member @ SY75 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(192,plain,
! [SV24: $i,SV14: $i] :
( ( ( ~ ! [SY76: $i] :
~ ~ ( ~ ( member @ SY76 @ SV14 )
| ~ ( member @ SY76 @ SV24 ) ) )
= $true )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(193,plain,
! [SV25: $i,SV15: $i] :
( ( ( ~ ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation ) )
= $true )
| ( ( ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(194,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(195,plain,
! [SV32: $i,SV30: $i] :
( ( ~ ( ~ ( ~ ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SV32 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) )
| ( SV32 != sK1_X ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(196,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(197,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) ) )
= $true )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(198,plain,
! [SV18: $i,SV5: $i] :
( ( ( subclass @ SV5 @ SV18 )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( member @ SY67 @ SV5 )
| ( member @ SY67 @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(199,plain,
! [SV18: $i,SV5: $i] :
( ( ( ! [SY68: $i] :
( ~ ( member @ SY68 @ SV5 )
| ( member @ SY68 @ SV18 ) ) )
= $false )
| ( ( subclass @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(200,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ ( union @ SV6 @ SV19 ) ) )
= $true )
| ( ( ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(201,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ( ~ ( ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) ) )
= $true )
| ( ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(202,plain,
! [SV7: $i,SV20: $i] :
( ( ( member @ SV20 @ ( complement @ SV7 ) )
= $false )
| ( ( ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(203,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) ) )
= $false )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(204,plain,
! [SV21: $i,SV9: $i] :
( ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false )
| ( ( ~ ! [SY70: $i] :
~ ~ ( ~ ( member @ SV9 @ SY70 )
| ~ ( member @ SY70 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(205,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ! [SY71: $i] :
~ ~ ( ~ ( member @ SV9 @ SY71 )
| ~ ( member @ SY71 @ SV21 ) ) )
= $false )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(206,plain,
! [SV31: $i,SV28: $i,SV22: $i,SV10: $i] :
( ( ~ ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
| ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(207,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ~ ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) )
| ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(208,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(209,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) ) )
= $true )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(210,plain,
! [SV13: $i] :
( ( ( ! [SY60: $i] :
~ ~ ( ~ ( member @ SY60 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY60 @ SY60 ) ) ) )
= $false )
| ( ( member @ SV13 @ identity_relation )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(211,plain,
! [SV13: $i] :
( ( ( ! [SY61: $i] :
~ ~ ( ~ ( member @ SY61 @ universal_class )
| ( SV13
!= ( ordered_pair @ SY61 @ SY61 ) ) ) )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(212,plain,
! [SV24: $i,SV14: $i] :
( ( ( disjoint @ SV14 @ SV24 )
= $false )
| ( ( ! [SY75: $i] :
~ ~ ( ~ ( member @ SY75 @ SV14 )
| ~ ( member @ SY75 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(213,plain,
! [SV24: $i,SV14: $i] :
( ( ( ! [SY76: $i] :
~ ~ ( ~ ( member @ SY76 @ SV14 )
| ~ ( member @ SY76 @ SV24 ) ) )
= $false )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(214,plain,
! [SV25: $i,SV15: $i] :
( ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $false )
| ( ( ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(215,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(216,plain,
! [SV32: $i,SV30: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SV32 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) )
| ( SV32 != sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(217,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $false )
| ( ( ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(218,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) ) )
= $false )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(219,plain,
! [SV18: $i,SV5: $i,SV33: $i] :
( ( ( ~ ( member @ SV33 @ SV5 )
| ( member @ SV33 @ SV18 ) )
= $true )
| ( ( subclass @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(220,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( member @ ( sK2_SY68 @ SV18 @ SV5 ) @ SV5 )
| ( member @ ( sK2_SY68 @ SV18 @ SV5 ) @ SV18 ) )
= $false )
| ( ( subclass @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[199]) ).
thf(221,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
= $false )
| ( ( ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(222,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ( ( member @ SV27 @ SV6 )
| ( member @ SV27 @ SV19 ) )
= $false )
| ( ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(223,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) )
= $false )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(224,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ universal_class )
| ~ ~ ( member @ SV20 @ SV7 ) )
= $true )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(225,plain,
! [SV21: $i,SV9: $i] :
( ( ( ! [SY70: $i] :
~ ~ ( ~ ( member @ SV9 @ SY70 )
| ~ ( member @ SY70 @ SV21 ) ) )
= $false )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(226,plain,
! [SV21: $i,SV9: $i] :
( ( ( ! [SY71: $i] :
~ ~ ( ~ ( member @ SV9 @ SY71 )
| ~ ( member @ SY71 @ SV21 ) ) )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(227,plain,
! [SV31: $i,SV28: $i,SV22: $i,SV10: $i] :
( ( ( ~ ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(228,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) ) )
= $true )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(229,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $false )
| ( ( ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(230,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) ) )
= $false )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(231,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK3_SY60 @ SV13 ) @ universal_class )
| ( SV13
!= ( ordered_pair @ ( sK3_SY60 @ SV13 ) @ ( sK3_SY60 @ SV13 ) ) ) ) )
= $false )
| ( ( member @ SV13 @ identity_relation )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(232,plain,
! [SV13: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( member @ SV34 @ universal_class )
| ( SV13
!= ( ordered_pair @ SV34 @ SV34 ) ) ) )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(233,plain,
! [SV24: $i,SV14: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( member @ SV35 @ SV14 )
| ~ ( member @ SV35 @ SV24 ) ) )
= $true )
| ( ( disjoint @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(234,plain,
! [SV14: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV14 )
| ~ ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV24 ) ) )
= $false )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(235,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) )
= $false )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(236,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( member @ SV25 @ universal_class )
| ~ ( member @ SV15 @ SV25 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(237,plain,
! [SV32: $i,SV30: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SV32 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(238,plain,
! [SV32: $i,SV30: $i] :
( ( ~ ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) )
| ( SV32 != sK1_X ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(239,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
= $false )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(240,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( member @ SV4 @ universal_class )
| ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
= $true )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(241,plain,
! [SV18: $i,SV5: $i,SV33: $i] :
( ( ( ~ ( member @ SV33 @ SV5 ) )
= $true )
| ( ( member @ SV33 @ SV18 )
= $true )
| ( ( subclass @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(242,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( member @ ( sK2_SY68 @ SV18 @ SV5 ) @ SV5 ) )
= $false )
| ( ( subclass @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(243,plain,
! [SV5: $i,SV18: $i] :
( ( ( member @ ( sK2_SY68 @ SV18 @ SV5 ) @ SV18 )
= $false )
| ( ( subclass @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(244,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ( member @ SV27 @ SV6 )
= $true )
| ( ( member @ SV27 @ SV19 )
= $true )
| ( ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(245,plain,
! [SV19: $i,SV6: $i,SV27: $i] :
( ( ( member @ SV27 @ SV6 )
= $false )
| ( ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(246,plain,
! [SV6: $i,SV19: $i,SV27: $i] :
( ( ( member @ SV27 @ SV19 )
= $false )
| ( ( member @ SV27 @ ( union @ SV6 @ SV19 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(247,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ universal_class ) )
= $false )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(248,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ~ ( member @ SV20 @ SV7 ) )
= $false )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(249,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ universal_class ) )
= $true )
| ( ( ~ ~ ( member @ SV20 @ SV7 ) )
= $true )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(250,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( member @ SV9 @ ( sK5_SY70 @ SV21 @ SV9 ) )
| ~ ( member @ ( sK5_SY70 @ SV21 @ SV9 ) @ SV21 ) ) )
= $false )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[225]) ).
thf(251,plain,
! [SV21: $i,SV36: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( member @ SV9 @ SV36 )
| ~ ( member @ SV36 @ SV21 ) ) )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(252,plain,
! [SV31: $i,SV28: $i,SV22: $i,SV10: $i] :
( ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $false )
| ( ( ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(253,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ( ~ ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) ) )
= $false )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(254,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) )
= $false )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(255,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ SV12 )
| ~ ( member @ SV29 @ SV23 ) )
= $true )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(256,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ( member @ ( sK3_SY60 @ SV13 ) @ universal_class )
| ( SV13
!= ( ordered_pair @ ( sK3_SY60 @ SV13 ) @ ( sK3_SY60 @ SV13 ) ) ) ) )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(257,plain,
! [SV13: $i,SV34: $i] :
( ( ( ~ ( ~ ( member @ SV34 @ universal_class )
| ( SV13
!= ( ordered_pair @ SV34 @ SV34 ) ) ) )
= $false )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(258,plain,
! [SV24: $i,SV14: $i,SV35: $i] :
( ( ( ~ ( ~ ( member @ SV35 @ SV14 )
| ~ ( member @ SV35 @ SV24 ) ) )
= $false )
| ( ( disjoint @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(259,plain,
! [SV14: $i,SV24: $i] :
( ( ( ~ ( ~ ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV14 )
| ~ ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV24 ) ) )
= $true )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(260,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( member @ SV25 @ universal_class ) )
= $false )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(261,plain,
! [SV25: $i,SV15: $i] :
( ( ( ~ ( member @ SV15 @ SV25 ) )
= $false )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(262,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( member @ SV25 @ universal_class ) )
= $true )
| ( ( ~ ( member @ SV15 @ SV25 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(263,plain,
! [SV32: $i,SV30: $i] :
( ( ~ ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SV32 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(264,plain,
! [SV32: $i,SV30: $i] :
( ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) )
| ( SV32 != sK1_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(265,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( member @ SV4 @ universal_class ) )
= $false )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(266,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
= $false )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(267,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( member @ SV4 @ universal_class ) )
= $true )
| ( ( ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
= $true )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(268,plain,
! [SV18: $i,SV5: $i,SV33: $i] :
( ( ( member @ SV33 @ SV5 )
= $false )
| ( ( member @ SV33 @ SV18 )
= $true )
| ( ( subclass @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(269,plain,
! [SV5: $i,SV18: $i] :
( ( ( member @ ( sK2_SY68 @ SV18 @ SV5 ) @ SV5 )
= $true )
| ( ( subclass @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(270,plain,
! [SV7: $i,SV20: $i] :
( ( ( member @ SV20 @ universal_class )
= $true )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(271,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ SV7 ) )
= $true )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(272,plain,
! [SV7: $i,SV20: $i] :
( ( ( member @ SV20 @ universal_class )
= $false )
| ( ( ~ ~ ( member @ SV20 @ SV7 ) )
= $true )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(273,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ( ~ ( member @ SV9 @ ( sK5_SY70 @ SV21 @ SV9 ) )
| ~ ( member @ ( sK5_SY70 @ SV21 @ SV9 ) @ SV21 ) ) )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(274,plain,
! [SV21: $i,SV36: $i,SV9: $i] :
( ( ( ~ ( ~ ( member @ SV9 @ SV36 )
| ~ ( member @ SV36 @ SV21 ) ) )
= $false )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(275,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) )
= $false )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(276,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV28 )
| ~ ( member @ SV22 @ SV31 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(277,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ SV12 ) )
= $false )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(278,plain,
! [SV12: $i,SV23: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ SV23 ) )
= $false )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(279,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( ~ ( member @ SV29 @ SV12 ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV23 ) )
= $true )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(280,plain,
! [SV13: $i] :
( ( ( ~ ( member @ ( sK3_SY60 @ SV13 ) @ universal_class )
| ( SV13
!= ( ordered_pair @ ( sK3_SY60 @ SV13 ) @ ( sK3_SY60 @ SV13 ) ) ) )
= $false )
| ( ( member @ SV13 @ identity_relation )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(281,plain,
! [SV13: $i,SV34: $i] :
( ( ( ~ ( member @ SV34 @ universal_class )
| ( SV13
!= ( ordered_pair @ SV34 @ SV34 ) ) )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(282,plain,
! [SV24: $i,SV14: $i,SV35: $i] :
( ( ( ~ ( member @ SV35 @ SV14 )
| ~ ( member @ SV35 @ SV24 ) )
= $true )
| ( ( disjoint @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(283,plain,
! [SV14: $i,SV24: $i] :
( ( ( ~ ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV14 )
| ~ ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV24 ) )
= $false )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(284,plain,
! [SV15: $i,SV25: $i] :
( ( ( member @ SV25 @ universal_class )
= $true )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(285,plain,
! [SV25: $i,SV15: $i] :
( ( ( member @ SV15 @ SV25 )
= $true )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(286,plain,
! [SV15: $i,SV25: $i] :
( ( ( member @ SV25 @ universal_class )
= $false )
| ( ( ~ ( member @ SV15 @ SV25 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(287,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SV32 @ universal_class ) ) )
= $true )
| ( ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(288,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) ) )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(289,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( member @ SV4 @ universal_class )
= $true )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(290,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ( SV4 = SV17 )
| ( SV4 = SV26 ) )
= $true )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(291,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( member @ SV4 @ universal_class )
= $false )
| ( ( ~ ( ( SV4 = SV17 )
| ( SV4 = SV26 ) ) )
= $true )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(292,plain,
! [SV7: $i,SV20: $i] :
( ( ( member @ SV20 @ SV7 )
= $false )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(293,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ SV7 ) )
= $false )
| ( ( member @ SV20 @ universal_class )
= $false )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(294,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ ( sK5_SY70 @ SV21 @ SV9 ) )
| ~ ( member @ ( sK5_SY70 @ SV21 @ SV9 ) @ SV21 ) )
= $false )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(295,plain,
! [SV21: $i,SV36: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ SV36 )
| ~ ( member @ SV36 @ SV21 ) )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(296,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV28 ) )
= $false )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(297,plain,
! [SV28: $i,SV10: $i,SV31: $i,SV22: $i] :
( ( ( ~ ( member @ SV22 @ SV31 ) )
= $false )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(298,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV28 ) )
= $true )
| ( ( ~ ( member @ SV22 @ SV31 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(299,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( member @ SV29 @ SV12 )
= $true )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(300,plain,
! [SV12: $i,SV23: $i,SV29: $i] :
( ( ( member @ SV29 @ SV23 )
= $true )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(301,plain,
! [SV23: $i,SV12: $i,SV29: $i] :
( ( ( member @ SV29 @ SV12 )
= $false )
| ( ( ~ ( member @ SV29 @ SV23 ) )
= $true )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(302,plain,
! [SV13: $i] :
( ( ( ~ ( member @ ( sK3_SY60 @ SV13 ) @ universal_class ) )
= $false )
| ( ( member @ SV13 @ identity_relation )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(303,plain,
! [SV13: $i] :
( ( ( SV13
!= ( ordered_pair @ ( sK3_SY60 @ SV13 ) @ ( sK3_SY60 @ SV13 ) ) )
= $false )
| ( ( member @ SV13 @ identity_relation )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(304,plain,
! [SV13: $i,SV34: $i] :
( ( ( ~ ( member @ SV34 @ universal_class ) )
= $true )
| ( ( SV13
!= ( ordered_pair @ SV34 @ SV34 ) )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(305,plain,
! [SV24: $i,SV14: $i,SV35: $i] :
( ( ( ~ ( member @ SV35 @ SV14 ) )
= $true )
| ( ( ~ ( member @ SV35 @ SV24 ) )
= $true )
| ( ( disjoint @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(306,plain,
! [SV14: $i,SV24: $i] :
( ( ( ~ ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV14 ) )
= $false )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(307,plain,
! [SV14: $i,SV24: $i] :
( ( ( ~ ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV24 ) )
= $false )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(308,plain,
! [SV25: $i,SV15: $i] :
( ( ( member @ SV15 @ SV25 )
= $false )
| ( ( member @ SV25 @ universal_class )
= $false )
| ( ( member @ ( ordered_pair @ SV15 @ SV25 ) @ element_relation )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(309,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SV32 @ universal_class ) ) )
= $false )
| ( ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(310,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) ) )
= $false )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(311,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( SV4 = SV17 )
= $true )
| ( ( SV4 = SV26 )
= $true )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(312,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( ( SV4 = SV17 )
| ( SV4 = SV26 ) )
= $false )
| ( ( member @ SV4 @ universal_class )
= $false )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(313,plain,
! [SV7: $i,SV20: $i] :
( ( ( member @ SV20 @ SV7 )
= $true )
| ( ( member @ SV20 @ universal_class )
= $false )
| ( ( member @ SV20 @ ( complement @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(314,plain,
! [SV21: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ ( sK5_SY70 @ SV21 @ SV9 ) ) )
= $false )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(315,plain,
! [SV9: $i,SV21: $i] :
( ( ( ~ ( member @ ( sK5_SY70 @ SV21 @ SV9 ) @ SV21 ) )
= $false )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(316,plain,
! [SV21: $i,SV36: $i,SV9: $i] :
( ( ( ~ ( member @ SV9 @ SV36 ) )
= $true )
| ( ( ~ ( member @ SV36 @ SV21 ) )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(317,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ( member @ SV10 @ SV28 )
= $true )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(318,plain,
! [SV28: $i,SV10: $i,SV31: $i,SV22: $i] :
( ( ( member @ SV22 @ SV31 )
= $true )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(319,plain,
! [SV31: $i,SV22: $i,SV28: $i,SV10: $i] :
( ( ( member @ SV10 @ SV28 )
= $false )
| ( ( ~ ( member @ SV22 @ SV31 ) )
= $true )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(320,plain,
! [SV12: $i,SV23: $i,SV29: $i] :
( ( ( member @ SV29 @ SV23 )
= $false )
| ( ( member @ SV29 @ SV12 )
= $false )
| ( ( member @ SV29 @ ( intersection @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(321,plain,
! [SV13: $i] :
( ( ( member @ ( sK3_SY60 @ SV13 ) @ universal_class )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(322,plain,
! [SV13: $i] :
( ( ( SV13
= ( ordered_pair @ ( sK3_SY60 @ SV13 ) @ ( sK3_SY60 @ SV13 ) ) )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(323,plain,
! [SV13: $i,SV34: $i] :
( ( ( member @ SV34 @ universal_class )
= $false )
| ( ( SV13
!= ( ordered_pair @ SV34 @ SV34 ) )
= $true )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(324,plain,
! [SV24: $i,SV14: $i,SV35: $i] :
( ( ( member @ SV35 @ SV14 )
= $false )
| ( ( ~ ( member @ SV35 @ SV24 ) )
= $true )
| ( ( disjoint @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(325,plain,
! [SV14: $i,SV24: $i] :
( ( ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV14 )
= $true )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(326,plain,
! [SV14: $i,SV24: $i] :
( ( ( member @ ( sK4_SY76 @ SV24 @ SV14 ) @ SV24 )
= $true )
| ( ( disjoint @ SV14 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(327,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ( member @ SV30 @ universal_class )
| ~ ( member @ SV32 @ universal_class ) )
= $true )
| ( ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(328,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) )
| ( SV30 != sK1_X ) )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(329,plain,
! [SV26: $i,SV17: $i,SV4: $i] :
( ( ( SV4 = SV17 )
= $false )
| ( ( member @ SV4 @ universal_class )
= $false )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(330,plain,
! [SV17: $i,SV26: $i,SV4: $i] :
( ( ( SV4 = SV26 )
= $false )
| ( ( member @ SV4 @ universal_class )
= $false )
| ( ( member @ SV4 @ ( unordered_pair @ SV17 @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(331,plain,
! [SV21: $i,SV9: $i] :
( ( ( member @ SV9 @ ( sK5_SY70 @ SV21 @ SV9 ) )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(332,plain,
! [SV9: $i,SV21: $i] :
( ( ( member @ ( sK5_SY70 @ SV21 @ SV9 ) @ SV21 )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(333,plain,
! [SV21: $i,SV36: $i,SV9: $i] :
( ( ( member @ SV9 @ SV36 )
= $false )
| ( ( ~ ( member @ SV36 @ SV21 ) )
= $true )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(334,plain,
! [SV28: $i,SV10: $i,SV31: $i,SV22: $i] :
( ( ( member @ SV22 @ SV31 )
= $false )
| ( ( member @ SV10 @ SV28 )
= $false )
| ( ( member @ ( ordered_pair @ SV10 @ SV22 ) @ ( cross_product @ SV28 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(335,plain,
! [SV34: $i,SV13: $i] :
( ( ( SV13
= ( ordered_pair @ SV34 @ SV34 ) )
= $false )
| ( ( member @ SV34 @ universal_class )
= $false )
| ( ( member @ SV13 @ identity_relation )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(336,plain,
! [SV14: $i,SV24: $i,SV35: $i] :
( ( ( member @ SV35 @ SV24 )
= $false )
| ( ( member @ SV35 @ SV14 )
= $false )
| ( ( disjoint @ SV14 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(337,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ( member @ SV30 @ universal_class ) )
= $true )
| ( ( ~ ( member @ SV32 @ universal_class ) )
= $true )
| ( ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(338,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(339,plain,
! [SV9: $i,SV21: $i,SV36: $i] :
( ( ( member @ SV36 @ SV21 )
= $false )
| ( ( member @ SV9 @ SV36 )
= $false )
| ( ( member @ SV9 @ ( sum_class @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(340,plain,
! [SV32: $i,SV30: $i] :
( ( ( member @ SV30 @ universal_class )
= $false )
| ( ( ~ ( member @ SV32 @ universal_class ) )
= $true )
| ( ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(341,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(342,plain,
! [SV30: $i,SV32: $i] :
( ( ( member @ SV32 @ universal_class )
= $false )
| ( ( member @ SV30 @ universal_class )
= $false )
| ( ( sK1_X
!= ( ordered_pair @ SV30 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(343,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) ) )
= $true )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(344,plain,
! [SV32: $i,SV30: $i] :
( ( ( sK1_X
= ( ordered_pair @ SV30 @ SV32 ) )
= $false )
| ( ( member @ SV30 @ universal_class )
= $false )
| ( ( member @ SV32 @ universal_class )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(345,plain,
! [SV32: $i,SV30: $i] :
( ( ( ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( member @ SX2 @ universal_class )
| ~ ( member @ SX3 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ SX2 @ SX3 ) ) ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(346,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ~ ! [SY83: $i] :
~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ SY83 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ SY83 ) ) ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[345]) ).
thf(347,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ! [SY83: $i] :
~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ SY83 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ SY83 ) ) ) )
= $true )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(348,plain,
! [SV30: $i,SV32: $i] :
( ( ( ! [SY83: $i] :
~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ SY83 @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ SY83 ) ) ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(349,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ ( sK7_SY83 @ SV30 @ SV32 ) ) ) ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[348]) ).
thf(350,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ ( sK7_SY83 @ SV30 @ SV32 ) ) ) ) )
= $true )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(351,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class ) )
| ( sK1_X
!= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ ( sK7_SY83 @ SV30 @ SV32 ) ) ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(352,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class ) ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(353,plain,
! [SV30: $i,SV32: $i] :
( ( ( sK1_X
!= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ ( sK7_SY83 @ SV30 @ SV32 ) ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(354,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class ) ) )
= $true )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(355,plain,
! [SV30: $i,SV32: $i] :
( ( ( sK1_X
= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ ( sK7_SY83 @ SV30 @ SV32 ) ) )
= $true )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(356,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
| ~ ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(357,plain,
! [SV32: $i,SV30: $i] :
( ( ( SV30 = sK1_X )
= $false )
| ( ( sK1_X
= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ ( sK7_SY83 @ SV30 @ SV32 ) ) )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(358,plain,
! [SV30: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(359,plain,
! [SV32: $i,SV30: $i] :
( ( ( ~ ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class ) )
= $false )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(360,plain,
! [SV30: $i,SV32: $i] :
( ( ( SV32 = sK1_X )
= $false )
| ( ( sK1_X
= ( ordered_pair @ ( sK6_SX2 @ SV32 @ SV30 ) @ ( sK7_SY83 @ SV30 @ SV32 ) ) )
= $true )
| ( ( SV30 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(361,plain,
! [SV30: $i,SV32: $i] :
( ( ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
= $true )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(362,plain,
! [SV32: $i,SV30: $i] :
( ( ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class )
= $true )
| ( ( SV30 != sK1_X )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(363,plain,
! [SV32: $i,SV30: $i] :
( ( ( SV30 = sK1_X )
= $false )
| ( ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(364,plain,
! [SV32: $i,SV30: $i] :
( ( ( SV30 = sK1_X )
= $false )
| ( ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class )
= $true )
| ( ( SV32 != sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(365,plain,
! [SV30: $i,SV32: $i] :
( ( ( SV32 = sK1_X )
= $false )
| ( ( member @ ( sK6_SX2 @ SV32 @ SV30 ) @ universal_class )
= $true )
| ( ( SV30 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(366,plain,
! [SV30: $i,SV32: $i] :
( ( ( SV32 = sK1_X )
= $false )
| ( ( member @ ( sK7_SY83 @ SV30 @ SV32 ) @ universal_class )
= $true )
| ( ( SV30 = sK1_X )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(367,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[93,366,365,360,344,339,336,335,334,332,331,330,329,326,325,322,321,320,318,317,313,311,308,300,299,292,289,285,284,270,269,268,246,245,244,243,131,128,110,109]) ).
thf(368,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET108+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Oct 6 14:33:36 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.67/0.50
% 1.67/0.50 No.of.Axioms: 15
% 1.67/0.50
% 1.67/0.50 Length.of.Defs: 0
% 1.67/0.50
% 1.67/0.50 Contains.Choice.Funs: false
% 1.67/0.50 ...........
% 1.67/0.50
% 1.67/0.50 ********************************
% 1.67/0.50 * All subproblems solved! *
% 1.67/0.50 ********************************
% 1.67/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:15,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:367,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.67/0.50
% 1.67/0.50 %**** Beginning of derivation protocol ****
% 1.67/0.50 % SZS output start CNFRefutation
% See solution above
% 1.67/0.50
% 1.67/0.50 %**** End of derivation protocol ****
% 1.67/0.50 %**** no. of clauses in derivation: 340 ****
% 1.67/0.50 %**** clause counter: 367 ****
% 1.67/0.50
% 1.67/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:15,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:367,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------