TSTP Solution File: SET797+4 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET797+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 03:05:03 EDT 2022
% Result : Theorem 2.84s 3.04s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 69
% Syntax : Number of formulae : 1137 ( 415 unt; 47 typ; 0 def)
% Number of atoms : 10316 (2929 equ; 0 cnn)
% Maximal formula atoms : 14 ( 9 avg)
% Number of connectives : 27593 (4735 ~;3761 |; 200 &;18806 @)
% ( 40 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 99 ( 99 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 47 usr; 8 con; 0-4 aty)
% Number of variables : 3597 ( 0 ^3595 !; 2 ?;3597 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_apply,type,
apply: $i > $i > $i > $o ).
thf(tp_difference,type,
difference: $i > $i > $i ).
thf(tp_empty_set,type,
empty_set: $i ).
thf(tp_equal_set,type,
equal_set: $i > $i > $o ).
thf(tp_greatest,type,
greatest: $i > $i > $i > $o ).
thf(tp_greatest_lower_bound,type,
greatest_lower_bound: $i > $i > $i > $i > $o ).
thf(tp_intersection,type,
intersection: $i > $i > $i ).
thf(tp_least,type,
least: $i > $i > $i > $o ).
thf(tp_least_upper_bound,type,
least_upper_bound: $i > $i > $i > $i > $o ).
thf(tp_lower_bound,type,
lower_bound: $i > $i > $i > $o ).
thf(tp_max,type,
max: $i > $i > $i > $o ).
thf(tp_member,type,
member: $i > $i > $o ).
thf(tp_min,type,
min: $i > $i > $i > $o ).
thf(tp_order,type,
order: $i > $i > $o ).
thf(tp_power_set,type,
power_set: $i > $i ).
thf(tp_product,type,
product: $i > $i ).
thf(tp_sK10_X,type,
sK10_X: $i > $i > $i > $i ).
thf(tp_sK11_X,type,
sK11_X: $i > $i > $i > $i ).
thf(tp_sK12_X,type,
sK12_X: $i > $i > $i > $i ).
thf(tp_sK13_X,type,
sK13_X: $i > $i > $i > $i ).
thf(tp_sK14_X,type,
sK14_X: $i > $i > $i ).
thf(tp_sK15_SY89,type,
sK15_SY89: $i > $i > $i ).
thf(tp_sK16_X,type,
sK16_X: $i > $i > $i ).
thf(tp_sK17_SY90,type,
sK17_SY90: $i > $i > $i ).
thf(tp_sK18_X,type,
sK18_X: $i > $i > $i ).
thf(tp_sK19_X,type,
sK19_X: $i > $i > $i ).
thf(tp_sK1_R,type,
sK1_R: $i ).
thf(tp_sK20_SY91,type,
sK20_SY91: $i > $i > $i ).
thf(tp_sK21_SY93,type,
sK21_SY93: $i > $i > $i ).
thf(tp_sK22_Y,type,
sK22_Y: $i > $i > $i ).
thf(tp_sK23_Y,type,
sK23_Y: $i > $i > $i ).
thf(tp_sK24_X,type,
sK24_X: $i > $i > $i ).
thf(tp_sK2_SY79,type,
sK2_SY79: $i ).
thf(tp_sK3_SY83,type,
sK3_SY83: $i ).
thf(tp_sK4_SY86,type,
sK4_SY86: $i ).
thf(tp_sK5_SY88,type,
sK5_SY88: $i ).
thf(tp_sK6_M,type,
sK6_M: $i > $i > $i > $i > $i ).
thf(tp_sK7_M,type,
sK7_M: $i > $i > $i > $i > $i ).
thf(tp_sK8_X,type,
sK8_X: $i > $i > $i > $i ).
thf(tp_sK9_X,type,
sK9_X: $i > $i > $i > $i ).
thf(tp_singleton,type,
singleton: $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_sum,type,
sum: $i > $i ).
thf(tp_total_order,type,
total_order: $i > $i > $o ).
thf(tp_union,type,
union: $i > $i > $i ).
thf(tp_unordered_pair,type,
unordered_pair: $i > $i > $i ).
thf(tp_upper_bound,type,
upper_bound: $i > $i > $i > $o ).
thf(1,axiom,
! [A: $i,X: $i,R: $i,E: $i] :
( ( greatest_lower_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( lower_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( lower_bound @ M @ R @ X ) )
=> ( apply @ R @ M @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greatest_lower_bound) ).
thf(2,axiom,
! [A: $i,X: $i,R: $i,E: $i] :
( ( least_upper_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( upper_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( upper_bound @ M @ R @ X ) )
=> ( apply @ R @ A @ M ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',least_upper_bound) ).
thf(3,axiom,
! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min) ).
thf(4,axiom,
! [R: $i,E: $i,M: $i] :
( ( max @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ M @ X ) )
=> ( M = X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max) ).
thf(5,axiom,
! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',least) ).
thf(6,axiom,
! [R: $i,E: $i,M: $i] :
( ( greatest @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greatest) ).
thf(7,axiom,
! [R: $i,E: $i,M: $i] :
( ( lower_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_bound) ).
thf(8,axiom,
! [R: $i,E: $i,M: $i] :
( ( upper_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_bound) ).
thf(9,axiom,
! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_order) ).
thf(10,axiom,
! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) )
=> ( X = Y ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
thf(11,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( product @ A ) )
<=> ! [Y: $i] :
( ( member @ Y @ A )
=> ( member @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product) ).
thf(12,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( sum @ A ) )
<=> ? [Y: $i] :
( ( member @ Y @ A )
& ( member @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum) ).
thf(13,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( unordered_pair @ A @ B ) )
<=> ( ( X = A )
| ( X = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
thf(14,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( singleton @ A ) )
<=> ( X = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).
thf(15,axiom,
! [B: $i,A: $i,E: $i] :
( ( member @ B @ ( difference @ E @ A ) )
<=> ( ( member @ B @ E )
& ~ ( member @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
thf(16,axiom,
! [X: $i] :
~ ( member @ X @ empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
thf(17,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( union @ A @ B ) )
<=> ( ( member @ X @ A )
| ( member @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
thf(18,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( intersection @ A @ B ) )
<=> ( ( member @ X @ A )
& ( member @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
thf(19,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_set) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
thf(22,conjecture,
! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X: $i,Y: $i] :
( ( ( subset @ X @ E )
& ( subset @ Y @ E )
& ( subset @ X @ Y ) )
=> ! [M: $i] :
( ( upper_bound @ M @ R @ Y )
=> ( upper_bound @ M @ R @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV9) ).
thf(23,negated_conjecture,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X: $i,Y: $i] :
( ( ( subset @ X @ E )
& ( subset @ Y @ E )
& ( subset @ X @ Y ) )
=> ! [M: $i] :
( ( upper_bound @ M @ R @ Y )
=> ( upper_bound @ M @ R @ X ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[22]) ).
thf(24,plain,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X: $i,Y: $i] :
( ( ( subset @ X @ E )
& ( subset @ Y @ E )
& ( subset @ X @ Y ) )
=> ! [M: $i] :
( ( upper_bound @ M @ R @ Y )
=> ( upper_bound @ M @ R @ X ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[23]) ).
thf(25,plain,
( ( ! [A: $i,X: $i,R: $i,E: $i] :
( ( greatest_lower_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( lower_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( lower_bound @ M @ R @ X ) )
=> ( apply @ R @ M @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(26,plain,
( ( ! [A: $i,X: $i,R: $i,E: $i] :
( ( least_upper_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( upper_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( upper_bound @ M @ R @ X ) )
=> ( apply @ R @ A @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(27,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(28,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( max @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ M @ X ) )
=> ( M = X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(29,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(30,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( greatest @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(31,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( lower_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(32,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( upper_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(33,plain,
( ( ! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(34,plain,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) )
=> ( X = Y ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(35,plain,
( ( ! [X: $i,A: $i] :
( ( member @ X @ ( product @ A ) )
<=> ! [Y: $i] :
( ( member @ Y @ A )
=> ( member @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(36,plain,
( ( ! [X: $i,A: $i] :
( ( member @ X @ ( sum @ A ) )
<=> ? [Y: $i] :
( ( member @ Y @ A )
& ( member @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(37,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( unordered_pair @ A @ B ) )
<=> ( ( X = A )
| ( X = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(38,plain,
( ( ! [X: $i,A: $i] :
( ( member @ X @ ( singleton @ A ) )
<=> ( X = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(39,plain,
( ( ! [B: $i,A: $i,E: $i] :
( ( member @ B @ ( difference @ E @ A ) )
<=> ( ( member @ B @ E )
& ~ ( member @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(40,plain,
( ( ! [X: $i] :
~ ( member @ X @ empty_set ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(41,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( union @ A @ B ) )
<=> ( ( member @ X @ A )
| ( member @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(42,plain,
( ( ! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( intersection @ A @ B ) )
<=> ( ( member @ X @ A )
& ( member @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(43,plain,
( ( ! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(46,plain,
( ( ! [SY79: $i] :
( ( order @ sK1_R @ SY79 )
=> ! [SY80: $i,SY81: $i] :
( ( ( subset @ SY80 @ SY79 )
& ( subset @ SY81 @ SY79 )
& ( subset @ SY80 @ SY81 ) )
=> ! [SY82: $i] :
( ( upper_bound @ SY82 @ sK1_R @ SY81 )
=> ( upper_bound @ SY82 @ sK1_R @ SY80 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(47,plain,
( ( ( order @ sK1_R @ sK2_SY79 )
=> ! [SY83: $i,SY84: $i] :
( ( ( subset @ SY83 @ sK2_SY79 )
& ( subset @ SY84 @ sK2_SY79 )
& ( subset @ SY83 @ SY84 ) )
=> ! [SY82: $i] :
( ( upper_bound @ SY82 @ sK1_R @ SY84 )
=> ( upper_bound @ SY82 @ sK1_R @ SY83 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(48,plain,
( ( order @ sK1_R @ sK2_SY79 )
= $true ),
inference(standard_cnf,[status(thm)],[47]) ).
thf(49,plain,
( ( ! [SY83: $i,SY84: $i] :
( ( ( subset @ SY83 @ sK2_SY79 )
& ( subset @ SY84 @ sK2_SY79 )
& ( subset @ SY83 @ SY84 ) )
=> ! [SY82: $i] :
( ( upper_bound @ SY82 @ sK1_R @ SY84 )
=> ( upper_bound @ SY82 @ sK1_R @ SY83 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[47]) ).
thf(50,plain,
( ( ~ ! [SY83: $i,SY84: $i] :
( ( ( subset @ SY83 @ sK2_SY79 )
& ( subset @ SY84 @ sK2_SY79 )
& ( subset @ SY83 @ SY84 ) )
=> ! [SY82: $i] :
( ( upper_bound @ SY82 @ sK1_R @ SY84 )
=> ( upper_bound @ SY82 @ sK1_R @ SY83 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[49]) ).
thf(51,plain,
( ( ( subset @ sK3_SY83 @ sK2_SY79 )
& ( subset @ sK4_SY86 @ sK2_SY79 )
& ( subset @ sK3_SY83 @ sK4_SY86 )
& ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 )
& ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(52,plain,
( ( ! [A: $i,X: $i] :
( ! [R: $i,E: $i] :
( ( ( lower_bound @ ( sK6_M @ E @ R @ X @ A ) @ R @ X )
& ( member @ ( sK6_M @ E @ R @ X @ A ) @ E )
& ~ ( apply @ R @ ( sK6_M @ E @ R @ X @ A ) @ A ) )
| ~ ( lower_bound @ A @ R @ X )
| ~ ( member @ A @ X )
| ( greatest_lower_bound @ A @ X @ R @ E ) )
& ! [R: $i,E: $i] :
( ~ ( greatest_lower_bound @ A @ X @ R @ E )
| ! [M: $i] :
( ~ ( lower_bound @ M @ R @ X )
| ~ ( member @ M @ E )
| ( apply @ R @ M @ A ) ) )
& ! [R: $i] :
( ! [E: $i] :
~ ( greatest_lower_bound @ A @ X @ R @ E )
| ( lower_bound @ A @ R @ X ) )
& ( ! [R: $i,E: $i] :
~ ( greatest_lower_bound @ A @ X @ R @ E )
| ( member @ A @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(53,plain,
( ( ! [A: $i,X: $i] :
( ! [R: $i,E: $i] :
( ( ( member @ ( sK7_M @ E @ R @ X @ A ) @ E )
& ( upper_bound @ ( sK7_M @ E @ R @ X @ A ) @ R @ X )
& ~ ( apply @ R @ A @ ( sK7_M @ E @ R @ X @ A ) ) )
| ~ ( member @ A @ X )
| ~ ( upper_bound @ A @ R @ X )
| ( least_upper_bound @ A @ X @ R @ E ) )
& ! [R: $i,E: $i] :
( ~ ( least_upper_bound @ A @ X @ R @ E )
| ! [M: $i] :
( ~ ( member @ M @ E )
| ~ ( upper_bound @ M @ R @ X )
| ( apply @ R @ A @ M ) ) )
& ( ! [R: $i,E: $i] :
~ ( least_upper_bound @ A @ X @ R @ E )
| ( member @ A @ X ) )
& ! [R: $i] :
( ! [E: $i] :
~ ( least_upper_bound @ A @ X @ R @ E )
| ( upper_bound @ A @ R @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(54,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( apply @ R @ ( sK8_X @ M @ E @ R ) @ M )
& ( member @ ( sK8_X @ M @ E @ R ) @ E )
& ( M
!= ( sK8_X @ M @ E @ R ) ) )
| ~ ( member @ M @ E )
| ( min @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( min @ M @ R @ E )
| ! [X: $i] :
( ~ ( apply @ R @ X @ M )
| ~ ( member @ X @ E )
| ( M = X ) ) )
& ! [E: $i,M: $i] :
( ~ ( min @ M @ R @ E )
| ( member @ M @ E ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(55,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( apply @ R @ M @ ( sK9_X @ M @ E @ R ) )
& ( member @ ( sK9_X @ M @ E @ R ) @ E )
& ( M
!= ( sK9_X @ M @ E @ R ) ) )
| ~ ( member @ M @ E )
| ( max @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( max @ M @ R @ E )
| ! [X: $i] :
( ~ ( apply @ R @ M @ X )
| ~ ( member @ X @ E )
| ( M = X ) ) )
& ! [E: $i,M: $i] :
( ~ ( max @ M @ R @ E )
| ( member @ M @ E ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(56,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( member @ ( sK10_X @ M @ E @ R ) @ E )
& ~ ( apply @ R @ M @ ( sK10_X @ M @ E @ R ) ) )
| ~ ( member @ M @ E )
| ( least @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( least @ M @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ M @ X ) ) )
& ! [E: $i,M: $i] :
( ~ ( least @ M @ R @ E )
| ( member @ M @ E ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(57,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( member @ ( sK11_X @ M @ E @ R ) @ E )
& ~ ( apply @ R @ ( sK11_X @ M @ E @ R ) @ M ) )
| ~ ( member @ M @ E )
| ( greatest @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( greatest @ M @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ X @ M ) ) )
& ! [E: $i,M: $i] :
( ~ ( greatest @ M @ R @ E )
| ( member @ M @ E ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(58,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( member @ ( sK12_X @ M @ E @ R ) @ E )
& ~ ( apply @ R @ M @ ( sK12_X @ M @ E @ R ) ) )
| ( lower_bound @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( lower_bound @ M @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ M @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(59,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( member @ ( sK13_X @ M @ E @ R ) @ E )
& ~ ( apply @ R @ ( sK13_X @ M @ E @ R ) @ M ) )
| ( upper_bound @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( upper_bound @ M @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ X @ M ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(60,plain,
( ( ! [R: $i,E: $i] :
( ( ( member @ ( sK14_X @ E @ R ) @ E )
& ( member @ ( sK15_SY89 @ E @ R ) @ E )
& ~ ( apply @ R @ ( sK14_X @ E @ R ) @ ( sK15_SY89 @ E @ R ) )
& ~ ( apply @ R @ ( sK15_SY89 @ E @ R ) @ ( sK14_X @ E @ R ) ) )
| ~ ( order @ R @ E )
| ( total_order @ R @ E ) )
& ! [R: $i,E: $i] :
( ~ ( total_order @ R @ E )
| ! [X: $i,Y: $i] :
( ~ ( member @ X @ E )
| ~ ( member @ Y @ E )
| ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) )
& ! [R: $i,E: $i] :
( ~ ( total_order @ R @ E )
| ( order @ R @ E ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(61,plain,
( ( ! [R: $i,E: $i] :
( ( ( member @ ( sK19_X @ E @ R ) @ E )
& ( member @ ( sK20_SY91 @ E @ R ) @ E )
& ( member @ ( sK21_SY93 @ E @ R ) @ E )
& ( apply @ R @ ( sK19_X @ E @ R ) @ ( sK20_SY91 @ E @ R ) )
& ( apply @ R @ ( sK20_SY91 @ E @ R ) @ ( sK21_SY93 @ E @ R ) )
& ~ ( apply @ R @ ( sK19_X @ E @ R ) @ ( sK21_SY93 @ E @ R ) ) )
| ( ( member @ ( sK18_X @ E @ R ) @ E )
& ~ ( apply @ R @ ( sK18_X @ E @ R ) @ ( sK18_X @ E @ R ) ) )
| ( ( member @ ( sK16_X @ E @ R ) @ E )
& ( member @ ( sK17_SY90 @ E @ R ) @ E )
& ( apply @ R @ ( sK16_X @ E @ R ) @ ( sK17_SY90 @ E @ R ) )
& ( apply @ R @ ( sK17_SY90 @ E @ R ) @ ( sK16_X @ E @ R ) )
& ( ( sK16_X @ E @ R )
!= ( sK17_SY90 @ E @ R ) ) )
| ( order @ R @ E ) )
& ! [R: $i,E: $i] :
( ~ ( order @ R @ E )
| ! [X: $i,Y: $i,Z: $i] :
( ~ ( member @ X @ E )
| ~ ( member @ Y @ E )
| ~ ( member @ Z @ E )
| ~ ( apply @ R @ X @ Y )
| ~ ( apply @ R @ Y @ Z )
| ( apply @ R @ X @ Z ) ) )
& ! [R: $i,E: $i] :
( ~ ( order @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ X @ X ) ) )
& ! [R: $i,E: $i] :
( ~ ( order @ R @ E )
| ! [X: $i,Y: $i] :
( ~ ( member @ X @ E )
| ~ ( member @ Y @ E )
| ~ ( apply @ R @ X @ Y )
| ~ ( apply @ R @ Y @ X )
| ( X = Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(62,plain,
( ( ! [X: $i,A: $i] :
( ( ( member @ ( sK22_Y @ A @ X ) @ A )
& ~ ( member @ X @ ( sK22_Y @ A @ X ) ) )
| ( member @ X @ ( product @ A ) ) )
& ! [X: $i,A: $i] :
( ~ ( member @ X @ ( product @ A ) )
| ! [Y: $i] :
( ~ ( member @ Y @ A )
| ( member @ X @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(63,plain,
( ( ! [X: $i,A: $i] :
( ! [Y: $i] :
( ~ ( member @ Y @ A )
| ~ ( member @ X @ Y ) )
| ( member @ X @ ( sum @ A ) ) )
& ! [X: $i,A: $i] :
( ~ ( member @ X @ ( sum @ A ) )
| ( ( member @ ( sK23_Y @ A @ X ) @ A )
& ( member @ X @ ( sK23_Y @ A @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(64,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( member @ X @ ( unordered_pair @ A @ B ) )
| ( X = A )
| ( X = B ) )
& ! [A: $i] :
( ( X != A )
| ! [B: $i] : ( member @ X @ ( unordered_pair @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ( X != B )
| ( member @ X @ ( unordered_pair @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(65,plain,
( ( ! [X: $i,A: $i] :
( ( X != A )
| ( member @ X @ ( singleton @ A ) ) )
& ! [X: $i,A: $i] :
( ~ ( member @ X @ ( singleton @ A ) )
| ( X = A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(66,plain,
( ( ! [B: $i] :
( ! [A: $i,E: $i] :
( ~ ( member @ B @ E )
| ( member @ B @ A )
| ( member @ B @ ( difference @ E @ A ) ) )
& ! [A: $i,E: $i] :
( ~ ( member @ B @ ( difference @ E @ A ) )
| ( member @ B @ E ) )
& ! [A: $i] :
( ! [E: $i] :
~ ( member @ B @ ( difference @ E @ A ) )
| ~ ( member @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(67,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( member @ X @ ( union @ A @ B ) )
| ( member @ X @ A )
| ( member @ X @ B ) )
& ! [A: $i] :
( ~ ( member @ X @ A )
| ! [B: $i] : ( member @ X @ ( union @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( member @ X @ B )
| ( member @ X @ ( union @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(68,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( member @ X @ A )
| ~ ( member @ X @ B )
| ( member @ X @ ( intersection @ A @ B ) ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( member @ X @ ( intersection @ A @ B ) )
| ( member @ X @ A ) )
& ! [A: $i,B: $i] :
( ~ ( member @ X @ ( intersection @ A @ B ) )
| ( member @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(69,plain,
( ( ! [X: $i,A: $i] :
( ~ ( member @ X @ ( power_set @ A ) )
| ( subset @ X @ A ) )
& ! [X: $i,A: $i] :
( ~ ( subset @ X @ A )
| ( member @ X @ ( power_set @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ A )
| ( equal_set @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( equal_set @ A @ B )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( equal_set @ A @ B )
| ( subset @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ( ( member @ ( sK24_X @ B @ A ) @ A )
& ~ ( member @ ( sK24_X @ B @ A ) @ B ) )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [X: $i] :
( ~ ( member @ X @ A )
| ( member @ X @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ( ( member @ ( sK24_X @ B @ A ) @ A )
& ~ ( member @ ( sK24_X @ B @ A ) @ B ) )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [X: $i] :
( ~ ( member @ X @ A )
| ( member @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ A )
| ( equal_set @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( equal_set @ A @ B )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( equal_set @ A @ B )
| ( subset @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(74,plain,
( ( ! [X: $i,A: $i] :
( ~ ( member @ X @ ( power_set @ A ) )
| ( subset @ X @ A ) )
& ! [X: $i,A: $i] :
( ~ ( subset @ X @ A )
| ( member @ X @ ( power_set @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(75,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( member @ X @ A )
| ~ ( member @ X @ B )
| ( member @ X @ ( intersection @ A @ B ) ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( member @ X @ ( intersection @ A @ B ) )
| ( member @ X @ A ) )
& ! [A: $i,B: $i] :
( ~ ( member @ X @ ( intersection @ A @ B ) )
| ( member @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(76,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( member @ X @ ( union @ A @ B ) )
| ( member @ X @ A )
| ( member @ X @ B ) )
& ! [A: $i] :
( ~ ( member @ X @ A )
| ! [B: $i] : ( member @ X @ ( union @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( member @ X @ B )
| ( member @ X @ ( union @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(77,plain,
( ( ! [X: $i] :
~ ( member @ X @ empty_set ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(78,plain,
( ( ! [B: $i] :
( ! [A: $i,E: $i] :
( ~ ( member @ B @ E )
| ( member @ B @ A )
| ( member @ B @ ( difference @ E @ A ) ) )
& ! [A: $i,E: $i] :
( ~ ( member @ B @ ( difference @ E @ A ) )
| ( member @ B @ E ) )
& ! [A: $i] :
( ! [E: $i] :
~ ( member @ B @ ( difference @ E @ A ) )
| ~ ( member @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(79,plain,
( ( ! [X: $i,A: $i] :
( ( X != A )
| ( member @ X @ ( singleton @ A ) ) )
& ! [X: $i,A: $i] :
( ~ ( member @ X @ ( singleton @ A ) )
| ( X = A ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(80,plain,
( ( ! [X: $i] :
( ! [A: $i,B: $i] :
( ~ ( member @ X @ ( unordered_pair @ A @ B ) )
| ( X = A )
| ( X = B ) )
& ! [A: $i] :
( ( X != A )
| ! [B: $i] : ( member @ X @ ( unordered_pair @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ( X != B )
| ( member @ X @ ( unordered_pair @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(81,plain,
( ( ! [X: $i,A: $i] :
( ! [Y: $i] :
( ~ ( member @ Y @ A )
| ~ ( member @ X @ Y ) )
| ( member @ X @ ( sum @ A ) ) )
& ! [X: $i,A: $i] :
( ~ ( member @ X @ ( sum @ A ) )
| ( ( member @ ( sK23_Y @ A @ X ) @ A )
& ( member @ X @ ( sK23_Y @ A @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(82,plain,
( ( ! [X: $i,A: $i] :
( ( ( member @ ( sK22_Y @ A @ X ) @ A )
& ~ ( member @ X @ ( sK22_Y @ A @ X ) ) )
| ( member @ X @ ( product @ A ) ) )
& ! [X: $i,A: $i] :
( ~ ( member @ X @ ( product @ A ) )
| ! [Y: $i] :
( ~ ( member @ Y @ A )
| ( member @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(83,plain,
( ( ! [R: $i,E: $i] :
( ( ( member @ ( sK19_X @ E @ R ) @ E )
& ( member @ ( sK20_SY91 @ E @ R ) @ E )
& ( member @ ( sK21_SY93 @ E @ R ) @ E )
& ( apply @ R @ ( sK19_X @ E @ R ) @ ( sK20_SY91 @ E @ R ) )
& ( apply @ R @ ( sK20_SY91 @ E @ R ) @ ( sK21_SY93 @ E @ R ) )
& ~ ( apply @ R @ ( sK19_X @ E @ R ) @ ( sK21_SY93 @ E @ R ) ) )
| ( ( member @ ( sK18_X @ E @ R ) @ E )
& ~ ( apply @ R @ ( sK18_X @ E @ R ) @ ( sK18_X @ E @ R ) ) )
| ( ( member @ ( sK16_X @ E @ R ) @ E )
& ( member @ ( sK17_SY90 @ E @ R ) @ E )
& ( apply @ R @ ( sK16_X @ E @ R ) @ ( sK17_SY90 @ E @ R ) )
& ( apply @ R @ ( sK17_SY90 @ E @ R ) @ ( sK16_X @ E @ R ) )
& ( ( sK16_X @ E @ R )
!= ( sK17_SY90 @ E @ R ) ) )
| ( order @ R @ E ) )
& ! [R: $i,E: $i] :
( ~ ( order @ R @ E )
| ! [X: $i,Y: $i,Z: $i] :
( ~ ( member @ X @ E )
| ~ ( member @ Y @ E )
| ~ ( member @ Z @ E )
| ~ ( apply @ R @ X @ Y )
| ~ ( apply @ R @ Y @ Z )
| ( apply @ R @ X @ Z ) ) )
& ! [R: $i,E: $i] :
( ~ ( order @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ X @ X ) ) )
& ! [R: $i,E: $i] :
( ~ ( order @ R @ E )
| ! [X: $i,Y: $i] :
( ~ ( member @ X @ E )
| ~ ( member @ Y @ E )
| ~ ( apply @ R @ X @ Y )
| ~ ( apply @ R @ Y @ X )
| ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(84,plain,
( ( ! [R: $i,E: $i] :
( ( ( member @ ( sK14_X @ E @ R ) @ E )
& ( member @ ( sK15_SY89 @ E @ R ) @ E )
& ~ ( apply @ R @ ( sK14_X @ E @ R ) @ ( sK15_SY89 @ E @ R ) )
& ~ ( apply @ R @ ( sK15_SY89 @ E @ R ) @ ( sK14_X @ E @ R ) ) )
| ~ ( order @ R @ E )
| ( total_order @ R @ E ) )
& ! [R: $i,E: $i] :
( ~ ( total_order @ R @ E )
| ! [X: $i,Y: $i] :
( ~ ( member @ X @ E )
| ~ ( member @ Y @ E )
| ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) )
& ! [R: $i,E: $i] :
( ~ ( total_order @ R @ E )
| ( order @ R @ E ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(85,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( member @ ( sK13_X @ M @ E @ R ) @ E )
& ~ ( apply @ R @ ( sK13_X @ M @ E @ R ) @ M ) )
| ( upper_bound @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( upper_bound @ M @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ X @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(86,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( member @ ( sK12_X @ M @ E @ R ) @ E )
& ~ ( apply @ R @ M @ ( sK12_X @ M @ E @ R ) ) )
| ( lower_bound @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( lower_bound @ M @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ M @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(87,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( member @ ( sK11_X @ M @ E @ R ) @ E )
& ~ ( apply @ R @ ( sK11_X @ M @ E @ R ) @ M ) )
| ~ ( member @ M @ E )
| ( greatest @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( greatest @ M @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ X @ M ) ) )
& ! [E: $i,M: $i] :
( ~ ( greatest @ M @ R @ E )
| ( member @ M @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(88,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( member @ ( sK10_X @ M @ E @ R ) @ E )
& ~ ( apply @ R @ M @ ( sK10_X @ M @ E @ R ) ) )
| ~ ( member @ M @ E )
| ( least @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( least @ M @ R @ E )
| ! [X: $i] :
( ~ ( member @ X @ E )
| ( apply @ R @ M @ X ) ) )
& ! [E: $i,M: $i] :
( ~ ( least @ M @ R @ E )
| ( member @ M @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(89,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( apply @ R @ M @ ( sK9_X @ M @ E @ R ) )
& ( member @ ( sK9_X @ M @ E @ R ) @ E )
& ( M
!= ( sK9_X @ M @ E @ R ) ) )
| ~ ( member @ M @ E )
| ( max @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( max @ M @ R @ E )
| ! [X: $i] :
( ~ ( apply @ R @ M @ X )
| ~ ( member @ X @ E )
| ( M = X ) ) )
& ! [E: $i,M: $i] :
( ~ ( max @ M @ R @ E )
| ( member @ M @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(90,plain,
( ( ! [R: $i] :
( ! [E: $i,M: $i] :
( ( ( apply @ R @ ( sK8_X @ M @ E @ R ) @ M )
& ( member @ ( sK8_X @ M @ E @ R ) @ E )
& ( M
!= ( sK8_X @ M @ E @ R ) ) )
| ~ ( member @ M @ E )
| ( min @ M @ R @ E ) )
& ! [E: $i,M: $i] :
( ~ ( min @ M @ R @ E )
| ! [X: $i] :
( ~ ( apply @ R @ X @ M )
| ~ ( member @ X @ E )
| ( M = X ) ) )
& ! [E: $i,M: $i] :
( ~ ( min @ M @ R @ E )
| ( member @ M @ E ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(91,plain,
( ( ! [A: $i,X: $i] :
( ! [R: $i,E: $i] :
( ( ( member @ ( sK7_M @ E @ R @ X @ A ) @ E )
& ( upper_bound @ ( sK7_M @ E @ R @ X @ A ) @ R @ X )
& ~ ( apply @ R @ A @ ( sK7_M @ E @ R @ X @ A ) ) )
| ~ ( member @ A @ X )
| ~ ( upper_bound @ A @ R @ X )
| ( least_upper_bound @ A @ X @ R @ E ) )
& ! [R: $i,E: $i] :
( ~ ( least_upper_bound @ A @ X @ R @ E )
| ! [M: $i] :
( ~ ( member @ M @ E )
| ~ ( upper_bound @ M @ R @ X )
| ( apply @ R @ A @ M ) ) )
& ( ! [R: $i,E: $i] :
~ ( least_upper_bound @ A @ X @ R @ E )
| ( member @ A @ X ) )
& ! [R: $i] :
( ! [E: $i] :
~ ( least_upper_bound @ A @ X @ R @ E )
| ( upper_bound @ A @ R @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(92,plain,
( ( ! [A: $i,X: $i] :
( ! [R: $i,E: $i] :
( ( ( lower_bound @ ( sK6_M @ E @ R @ X @ A ) @ R @ X )
& ( member @ ( sK6_M @ E @ R @ X @ A ) @ E )
& ~ ( apply @ R @ ( sK6_M @ E @ R @ X @ A ) @ A ) )
| ~ ( lower_bound @ A @ R @ X )
| ~ ( member @ A @ X )
| ( greatest_lower_bound @ A @ X @ R @ E ) )
& ! [R: $i,E: $i] :
( ~ ( greatest_lower_bound @ A @ X @ R @ E )
| ! [M: $i] :
( ~ ( lower_bound @ M @ R @ X )
| ~ ( member @ M @ E )
| ( apply @ R @ M @ A ) ) )
& ! [R: $i] :
( ! [E: $i] :
~ ( greatest_lower_bound @ A @ X @ R @ E )
| ( lower_bound @ A @ R @ X ) )
& ( ! [R: $i,E: $i] :
~ ( greatest_lower_bound @ A @ X @ R @ E )
| ( member @ A @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(93,plain,
( ( order @ sK1_R @ sK2_SY79 )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(94,plain,
( ( ( subset @ sK3_SY83 @ sK2_SY79 )
& ( subset @ sK4_SY86 @ sK2_SY79 )
& ( subset @ sK3_SY83 @ sK4_SY86 )
& ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 )
& ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(95,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ( member @ ( sK12_X @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( apply @ SX0 @ SX2 @ ( sK12_X @ SX2 @ SX1 @ SX0 ) ) )
| ( lower_bound @ SX2 @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( lower_bound @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(96,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ( member @ ( sK10_X @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( apply @ SX0 @ SX2 @ ( sK10_X @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( member @ SX2 @ SX1 )
| ( least @ SX2 @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( least @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( least @ SX2 @ SX0 @ SX1 )
| ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(97,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK20_SY91 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( member @ ( sK21_SY93 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK19_X @ SX1 @ SX0 ) @ ( sK20_SY91 @ SX1 @ SX0 ) )
| ~ ( apply @ SX0 @ ( sK20_SY91 @ SX1 @ SX0 ) @ ( sK21_SY93 @ SX1 @ SX0 ) ) )
| ~ ~ ( apply @ SX0 @ ( sK19_X @ SX1 @ SX0 ) @ ( sK21_SY93 @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( member @ ( sK18_X @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( apply @ SX0 @ ( sK18_X @ SX1 @ SX0 ) @ ( sK18_X @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK17_SY90 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK16_X @ SX1 @ SX0 ) @ ( sK17_SY90 @ SX1 @ SX0 ) )
| ~ ( apply @ SX0 @ ( sK17_SY90 @ SX1 @ SX0 ) @ ( sK16_X @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK16_X @ SX1 @ SX0 )
!= ( sK17_SY90 @ SX1 @ SX0 ) ) ) ) )
| ( order @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(98,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX1 )
| ~ ( member @ ( sK6_M @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) )
| ~ ~ ( apply @ SX2 @ ( sK6_M @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( lower_bound @ SX0 @ SX2 @ SX1 )
| ~ ( member @ SX0 @ SX1 )
| ( greatest_lower_bound @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( greatest_lower_bound @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( lower_bound @ SX4 @ SX2 @ SX1 )
| ~ ( member @ SX4 @ SX3 )
| ( apply @ SX2 @ SX4 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ! [SX3: $i] :
~ ( greatest_lower_bound @ SX0 @ SX1 @ SX2 @ SX3 )
| ( lower_bound @ SX0 @ SX2 @ SX1 ) )
| ~ ( ! [SX2: $i,SX3: $i] :
~ ( greatest_lower_bound @ SX0 @ SX1 @ SX2 @ SX3 )
| ( member @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(99,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK24_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK24_X @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(100,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 )
| ~ ( upper_bound @ ( sK7_M @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX1 ) )
| ~ ~ ( apply @ SX2 @ SX0 @ ( sK7_M @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( member @ SX0 @ SX1 )
| ~ ( upper_bound @ SX0 @ SX2 @ SX1 )
| ( least_upper_bound @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( least_upper_bound @ SX0 @ SX1 @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( member @ SX4 @ SX3 )
| ~ ( upper_bound @ SX4 @ SX2 @ SX1 )
| ( apply @ SX2 @ SX0 @ SX4 ) ) )
| ~ ~ ( ~ ( ! [SX2: $i,SX3: $i] :
~ ( least_upper_bound @ SX0 @ SX1 @ SX2 @ SX3 )
| ( member @ SX0 @ SX1 ) )
| ~ ! [SX2: $i] :
( ! [SX3: $i] :
~ ( least_upper_bound @ SX0 @ SX1 @ SX2 @ SX3 )
| ( upper_bound @ SX0 @ SX2 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(101,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( equal_set @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(102,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX0 @ SX1 )
| ~ ( member @ SX0 @ SX2 )
| ( member @ SX0 @ ( intersection @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( member @ SX0 @ ( intersection @ SX1 @ SX2 ) )
| ( member @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX0 @ ( intersection @ SX1 @ SX2 ) )
| ( member @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(103,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( power_set @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( member @ SX0 @ ( power_set @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(104,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK14_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK15_SY89 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( apply @ SX0 @ ( sK14_X @ SX1 @ SX0 ) @ ( sK15_SY89 @ SX1 @ SX0 ) )
| ~ ~ ( apply @ SX0 @ ( sK15_SY89 @ SX1 @ SX0 ) @ ( sK14_X @ SX1 @ SX0 ) ) ) )
| ~ ( order @ SX0 @ SX1 )
| ( total_order @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ( order @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(105,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ( member @ ( sK11_X @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( apply @ SX0 @ ( sK11_X @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( member @ SX2 @ SX1 )
| ( greatest @ SX2 @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( greatest @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( greatest @ SX2 @ SX0 @ SX1 )
| ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(106,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK8_X @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ~ ( member @ ( sK8_X @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( SX2
!= ( sK8_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( member @ SX2 @ SX1 )
| ( min @ SX2 @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( min @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( apply @ SX0 @ SX3 @ SX2 )
| ~ ( member @ SX3 @ SX1 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( min @ SX2 @ SX0 @ SX1 )
| ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(107,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ( member @ ( sK13_X @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( apply @ SX0 @ ( sK13_X @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ( upper_bound @ SX2 @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( upper_bound @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(108,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX0 @ ( union @ SX1 @ SX2 ) )
| ( member @ SX0 @ SX1 )
| ( member @ SX0 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( member @ SX0 @ SX1 )
| ! [SX2: $i] : ( member @ SX0 @ ( union @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX0 @ SX2 )
| ( member @ SX0 @ ( union @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(109,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( subset @ sK3_SY83 @ sK2_SY79 )
| ~ ( subset @ sK4_SY86 @ sK2_SY79 ) )
| ~ ( subset @ sK3_SY83 @ sK4_SY86 ) )
| ~ ~ ( ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 )
| ~ ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(110,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX0 @ SX2 ) )
| ( member @ SX0 @ ( sum @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( sum @ SX1 ) )
| ~ ( ~ ( member @ ( sK23_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ SX0 @ ( sK23_Y @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(111,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX0 @ SX2 )
| ( member @ SX0 @ SX1 )
| ( member @ SX0 @ ( difference @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX0 @ ( difference @ SX2 @ SX1 ) )
| ( member @ SX0 @ SX2 ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( member @ SX0 @ ( difference @ SX2 @ SX1 ) )
| ~ ( member @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(112,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( member @ SX0 @ ( singleton @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( singleton @ SX1 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(113,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SX0 @ SX2 @ ( sK9_X @ SX2 @ SX1 @ SX0 ) )
| ~ ( member @ ( sK9_X @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( SX2
!= ( sK9_X @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( member @ SX2 @ SX1 )
| ( max @ SX2 @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( max @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( member @ SX3 @ SX1 )
| ( SX2 = SX3 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( max @ SX2 @ SX0 @ SX1 )
| ( member @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(114,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK22_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( member @ SX0 @ ( sK22_Y @ SX1 @ SX0 ) ) )
| ( member @ SX0 @ ( product @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( product @ SX1 ) )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(115,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( member @ SX0 @ ( unordered_pair @ SX1 @ SX2 ) )
| ( SX0 = SX1 )
| ( SX0 = SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ( SX0 != SX1 )
| ! [SX2: $i] : ( member @ SX0 @ ( unordered_pair @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX0 != SX2 )
| ( member @ SX0 @ ( unordered_pair @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(116,plain,
! [SV1: $i] :
( ( ~ ( member @ SV1 @ empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(117,plain,
! [SV2: $i] :
( ( ~ ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( ~ ( member @ ( sK12_X @ SY95 @ SY94 @ SV2 ) @ SY94 )
| ~ ~ ( apply @ SV2 @ SY95 @ ( sK12_X @ SY95 @ SY94 @ SV2 ) ) )
| ( lower_bound @ SY95 @ SV2 @ SY94 ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( lower_bound @ SY97 @ SV2 @ SY96 )
| ! [SY98: $i] :
( ~ ( member @ SY98 @ SY96 )
| ( apply @ SV2 @ SY97 @ SY98 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(118,plain,
! [SV3: $i] :
( ( ~ ( ~ ! [SY99: $i,SY100: $i] :
( ~ ( ~ ( member @ ( sK10_X @ SY100 @ SY99 @ SV3 ) @ SY99 )
| ~ ~ ( apply @ SV3 @ SY100 @ ( sK10_X @ SY100 @ SY99 @ SV3 ) ) )
| ~ ( member @ SY100 @ SY99 )
| ( least @ SY100 @ SV3 @ SY99 ) )
| ~ ~ ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( least @ SY102 @ SV3 @ SY101 )
| ! [SY103: $i] :
( ~ ( member @ SY103 @ SY101 )
| ( apply @ SV3 @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i,SY105: $i] :
( ~ ( least @ SY105 @ SV3 @ SY104 )
| ( member @ SY105 @ SY104 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(119,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK20_SY91 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( member @ ( sK21_SY93 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK19_X @ SX1 @ SX0 ) @ ( sK20_SY91 @ SX1 @ SX0 ) )
| ~ ( apply @ SX0 @ ( sK20_SY91 @ SX1 @ SX0 ) @ ( sK21_SY93 @ SX1 @ SX0 ) ) )
| ~ ~ ( apply @ SX0 @ ( sK19_X @ SX1 @ SX0 ) @ ( sK21_SY93 @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( member @ ( sK18_X @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( apply @ SX0 @ ( sK18_X @ SX1 @ SX0 ) @ ( sK18_X @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK17_SY90 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK16_X @ SX1 @ SX0 ) @ ( sK17_SY90 @ SX1 @ SX0 ) )
| ~ ( apply @ SX0 @ ( sK17_SY90 @ SX1 @ SX0 ) @ ( sK16_X @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK16_X @ SX1 @ SX0 )
!= ( sK17_SY90 @ SX1 @ SX0 ) ) ) ) )
| ( order @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(120,plain,
! [SV4: $i] :
( ( ! [SY106: $i] :
~ ( ~ ! [SY107: $i,SY108: $i] :
( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SY108 @ SY107 @ SY106 @ SV4 ) @ SY107 @ SY106 )
| ~ ( member @ ( sK6_M @ SY108 @ SY107 @ SY106 @ SV4 ) @ SY108 ) )
| ~ ~ ( apply @ SY107 @ ( sK6_M @ SY108 @ SY107 @ SY106 @ SV4 ) @ SV4 ) )
| ~ ( lower_bound @ SV4 @ SY107 @ SY106 )
| ~ ( member @ SV4 @ SY106 )
| ( greatest_lower_bound @ SV4 @ SY106 @ SY107 @ SY108 ) )
| ~ ~ ( ~ ! [SY109: $i,SY110: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SY106 @ SY109 @ SY110 )
| ! [SY111: $i] :
( ~ ( lower_bound @ SY111 @ SY109 @ SY106 )
| ~ ( member @ SY111 @ SY110 )
| ( apply @ SY109 @ SY111 @ SV4 ) ) )
| ~ ~ ( ~ ! [SY112: $i] :
( ! [SY113: $i] :
~ ( greatest_lower_bound @ SV4 @ SY106 @ SY112 @ SY113 )
| ( lower_bound @ SV4 @ SY112 @ SY106 ) )
| ~ ( ! [SY114: $i,SY115: $i] :
~ ( greatest_lower_bound @ SV4 @ SY106 @ SY114 @ SY115 )
| ( member @ SV4 @ SY106 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(121,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK24_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK24_X @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(122,plain,
! [SV5: $i] :
( ( ! [SY116: $i] :
~ ( ~ ! [SY117: $i,SY118: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SY118 @ SY117 @ SY116 @ SV5 ) @ SY118 )
| ~ ( upper_bound @ ( sK7_M @ SY118 @ SY117 @ SY116 @ SV5 ) @ SY117 @ SY116 ) )
| ~ ~ ( apply @ SY117 @ SV5 @ ( sK7_M @ SY118 @ SY117 @ SY116 @ SV5 ) ) )
| ~ ( member @ SV5 @ SY116 )
| ~ ( upper_bound @ SV5 @ SY117 @ SY116 )
| ( least_upper_bound @ SV5 @ SY116 @ SY117 @ SY118 ) )
| ~ ~ ( ~ ! [SY119: $i,SY120: $i] :
( ~ ( least_upper_bound @ SV5 @ SY116 @ SY119 @ SY120 )
| ! [SY121: $i] :
( ~ ( member @ SY121 @ SY120 )
| ~ ( upper_bound @ SY121 @ SY119 @ SY116 )
| ( apply @ SY119 @ SV5 @ SY121 ) ) )
| ~ ~ ( ~ ( ! [SY122: $i,SY123: $i] :
~ ( least_upper_bound @ SV5 @ SY116 @ SY122 @ SY123 )
| ( member @ SV5 @ SY116 ) )
| ~ ! [SY124: $i] :
( ! [SY125: $i] :
~ ( least_upper_bound @ SV5 @ SY116 @ SY124 @ SY125 )
| ( upper_bound @ SV5 @ SY124 @ SY116 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(123,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( equal_set @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(124,plain,
! [SV6: $i] :
( ( ~ ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( member @ SV6 @ SY126 )
| ~ ( member @ SV6 @ SY127 )
| ( member @ SV6 @ ( intersection @ SY126 @ SY127 ) ) )
| ~ ~ ( ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( member @ SV6 @ ( intersection @ SY128 @ SY129 ) )
| ( member @ SV6 @ SY128 ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( member @ SV6 @ ( intersection @ SY130 @ SY131 ) )
| ( member @ SV6 @ SY131 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(125,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( power_set @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( member @ SX0 @ ( power_set @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(126,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK14_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK15_SY89 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( apply @ SX0 @ ( sK14_X @ SX1 @ SX0 ) @ ( sK15_SY89 @ SX1 @ SX0 ) )
| ~ ~ ( apply @ SX0 @ ( sK15_SY89 @ SX1 @ SX0 ) @ ( sK14_X @ SX1 @ SX0 ) ) ) )
| ~ ( order @ SX0 @ SX1 )
| ( total_order @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ( order @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(127,plain,
! [SV7: $i] :
( ( ~ ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( ~ ( member @ ( sK11_X @ SY133 @ SY132 @ SV7 ) @ SY132 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SY133 @ SY132 @ SV7 ) @ SY133 ) )
| ~ ( member @ SY133 @ SY132 )
| ( greatest @ SY133 @ SV7 @ SY132 ) )
| ~ ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( greatest @ SY135 @ SV7 @ SY134 )
| ! [SY136: $i] :
( ~ ( member @ SY136 @ SY134 )
| ( apply @ SV7 @ SY136 @ SY135 ) ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ( greatest @ SY138 @ SV7 @ SY137 )
| ( member @ SY138 @ SY137 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(128,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY139: $i,SY140: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SY140 @ SY139 @ SV8 ) @ SY140 )
| ~ ( member @ ( sK8_X @ SY140 @ SY139 @ SV8 ) @ SY139 ) )
| ~ ( ( SY140
!= ( sK8_X @ SY140 @ SY139 @ SV8 ) ) ) )
| ~ ( member @ SY140 @ SY139 )
| ( min @ SY140 @ SV8 @ SY139 ) )
| ~ ~ ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( min @ SY142 @ SV8 @ SY141 )
| ! [SY143: $i] :
( ~ ( apply @ SV8 @ SY143 @ SY142 )
| ~ ( member @ SY143 @ SY141 )
| ( SY142 = SY143 ) ) )
| ~ ! [SY144: $i,SY145: $i] :
( ~ ( min @ SY145 @ SV8 @ SY144 )
| ( member @ SY145 @ SY144 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(129,plain,
! [SV9: $i] :
( ( ~ ( ~ ! [SY146: $i,SY147: $i] :
( ~ ( ~ ( member @ ( sK13_X @ SY147 @ SY146 @ SV9 ) @ SY146 )
| ~ ~ ( apply @ SV9 @ ( sK13_X @ SY147 @ SY146 @ SV9 ) @ SY147 ) )
| ( upper_bound @ SY147 @ SV9 @ SY146 ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( upper_bound @ SY149 @ SV9 @ SY148 )
| ! [SY150: $i] :
( ~ ( member @ SY150 @ SY148 )
| ( apply @ SV9 @ SY150 @ SY149 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(130,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( member @ SV10 @ ( union @ SY151 @ SY152 ) )
| ( member @ SV10 @ SY151 )
| ( member @ SV10 @ SY152 ) )
| ~ ~ ( ~ ! [SY153: $i] :
( ~ ( member @ SV10 @ SY153 )
| ! [SY154: $i] : ( member @ SV10 @ ( union @ SY153 @ SY154 ) ) )
| ~ ! [SY155: $i,SY156: $i] :
( ~ ( member @ SV10 @ SY156 )
| ( member @ SV10 @ ( union @ SY155 @ SY156 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(131,plain,
( ( ~ ~ ( ~ ~ ( ~ ( subset @ sK3_SY83 @ sK2_SY79 )
| ~ ( subset @ sK4_SY86 @ sK2_SY79 ) )
| ~ ( subset @ sK3_SY83 @ sK4_SY86 ) )
| ~ ~ ( ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 )
| ~ ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(132,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX0 @ SX2 ) )
| ( member @ SX0 @ ( sum @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( sum @ SX1 ) )
| ~ ( ~ ( member @ ( sK23_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ SX0 @ ( sK23_Y @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(133,plain,
! [SV11: $i] :
( ( ~ ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( member @ SV11 @ SY158 )
| ( member @ SV11 @ SY157 )
| ( member @ SV11 @ ( difference @ SY158 @ SY157 ) ) )
| ~ ~ ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( member @ SV11 @ ( difference @ SY160 @ SY159 ) )
| ( member @ SV11 @ SY160 ) )
| ~ ! [SY161: $i] :
( ! [SY162: $i] :
~ ( member @ SV11 @ ( difference @ SY162 @ SY161 ) )
| ~ ( member @ SV11 @ SY161 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(134,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( member @ SX0 @ ( singleton @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( singleton @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(135,plain,
! [SV12: $i] :
( ( ~ ( ~ ! [SY163: $i,SY164: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV12 @ SY164 @ ( sK9_X @ SY164 @ SY163 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SY164 @ SY163 @ SV12 ) @ SY163 ) )
| ~ ( ( SY164
!= ( sK9_X @ SY164 @ SY163 @ SV12 ) ) ) )
| ~ ( member @ SY164 @ SY163 )
| ( max @ SY164 @ SV12 @ SY163 ) )
| ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( max @ SY166 @ SV12 @ SY165 )
| ! [SY167: $i] :
( ~ ( apply @ SV12 @ SY166 @ SY167 )
| ~ ( member @ SY167 @ SY165 )
| ( SY166 = SY167 ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( max @ SY169 @ SV12 @ SY168 )
| ( member @ SY169 @ SY168 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(136,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK22_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( member @ SX0 @ ( sK22_Y @ SX1 @ SX0 ) ) )
| ( member @ SX0 @ ( product @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( product @ SX1 ) )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(137,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY170: $i,SY171: $i] :
( ~ ( member @ SV13 @ ( unordered_pair @ SY170 @ SY171 ) )
| ( SV13 = SY170 )
| ( SV13 = SY171 ) )
| ~ ~ ( ~ ! [SY172: $i] :
( ( SV13 != SY172 )
| ! [SY173: $i] : ( member @ SV13 @ ( unordered_pair @ SY172 @ SY173 ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ( SV13 != SY175 )
| ( member @ SV13 @ ( unordered_pair @ SY174 @ SY175 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(138,plain,
! [SV1: $i] :
( ( member @ SV1 @ empty_set )
= $false ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(139,plain,
! [SV2: $i] :
( ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( ~ ( member @ ( sK12_X @ SY95 @ SY94 @ SV2 ) @ SY94 )
| ~ ~ ( apply @ SV2 @ SY95 @ ( sK12_X @ SY95 @ SY94 @ SV2 ) ) )
| ( lower_bound @ SY95 @ SV2 @ SY94 ) )
| ~ ! [SY96: $i,SY97: $i] :
( ~ ( lower_bound @ SY97 @ SV2 @ SY96 )
| ! [SY98: $i] :
( ~ ( member @ SY98 @ SY96 )
| ( apply @ SV2 @ SY97 @ SY98 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(140,plain,
! [SV3: $i] :
( ( ~ ! [SY99: $i,SY100: $i] :
( ~ ( ~ ( member @ ( sK10_X @ SY100 @ SY99 @ SV3 ) @ SY99 )
| ~ ~ ( apply @ SV3 @ SY100 @ ( sK10_X @ SY100 @ SY99 @ SV3 ) ) )
| ~ ( member @ SY100 @ SY99 )
| ( least @ SY100 @ SV3 @ SY99 ) )
| ~ ~ ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( least @ SY102 @ SV3 @ SY101 )
| ! [SY103: $i] :
( ~ ( member @ SY103 @ SY101 )
| ( apply @ SV3 @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i,SY105: $i] :
( ~ ( least @ SY105 @ SV3 @ SY104 )
| ( member @ SY105 @ SY104 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(141,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK20_SY91 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( member @ ( sK21_SY93 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK19_X @ SX1 @ SX0 ) @ ( sK20_SY91 @ SX1 @ SX0 ) )
| ~ ( apply @ SX0 @ ( sK20_SY91 @ SX1 @ SX0 ) @ ( sK21_SY93 @ SX1 @ SX0 ) ) )
| ~ ~ ( apply @ SX0 @ ( sK19_X @ SX1 @ SX0 ) @ ( sK21_SY93 @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( member @ ( sK18_X @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( apply @ SX0 @ ( sK18_X @ SX1 @ SX0 ) @ ( sK18_X @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK17_SY90 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK16_X @ SX1 @ SX0 ) @ ( sK17_SY90 @ SX1 @ SX0 ) )
| ~ ( apply @ SX0 @ ( sK17_SY90 @ SX1 @ SX0 ) @ ( sK16_X @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK16_X @ SX1 @ SX0 )
!= ( sK17_SY90 @ SX1 @ SX0 ) ) ) ) )
| ( order @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(142,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(143,plain,
! [SV4: $i,SV14: $i] :
( ( ~ ( ~ ! [SY176: $i,SY177: $i] :
( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SY176 @ SV14 )
| ~ ( member @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SY177 ) )
| ~ ~ ( apply @ SY176 @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SV4 ) )
| ~ ( lower_bound @ SV4 @ SY176 @ SV14 )
| ~ ( member @ SV4 @ SV14 )
| ( greatest_lower_bound @ SV4 @ SV14 @ SY176 @ SY177 ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SY178 @ SY179 )
| ! [SY180: $i] :
( ~ ( lower_bound @ SY180 @ SY178 @ SV14 )
| ~ ( member @ SY180 @ SY179 )
| ( apply @ SY178 @ SY180 @ SV4 ) ) )
| ~ ~ ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) )
| ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(144,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK24_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK24_X @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(145,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(146,plain,
! [SV5: $i,SV15: $i] :
( ( ~ ( ~ ! [SY185: $i,SY186: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) @ SY186 )
| ~ ( upper_bound @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) @ SY185 @ SV15 ) )
| ~ ~ ( apply @ SY185 @ SV5 @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) ) )
| ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SY185 @ SV15 )
| ( least_upper_bound @ SV5 @ SV15 @ SY185 @ SY186 ) )
| ~ ~ ( ~ ! [SY187: $i,SY188: $i] :
( ~ ( least_upper_bound @ SV5 @ SV15 @ SY187 @ SY188 )
| ! [SY189: $i] :
( ~ ( member @ SY189 @ SY188 )
| ~ ( upper_bound @ SY189 @ SY187 @ SV15 )
| ( apply @ SY187 @ SV5 @ SY189 ) ) )
| ~ ~ ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
| ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(147,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( equal_set @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(148,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(149,plain,
! [SV6: $i] :
( ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( member @ SV6 @ SY126 )
| ~ ( member @ SV6 @ SY127 )
| ( member @ SV6 @ ( intersection @ SY126 @ SY127 ) ) )
| ~ ~ ( ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( member @ SV6 @ ( intersection @ SY128 @ SY129 ) )
| ( member @ SV6 @ SY128 ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( member @ SV6 @ ( intersection @ SY130 @ SY131 ) )
| ( member @ SV6 @ SY131 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(150,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( power_set @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(151,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( member @ SX0 @ ( power_set @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(152,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK14_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK15_SY89 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( apply @ SX0 @ ( sK14_X @ SX1 @ SX0 ) @ ( sK15_SY89 @ SX1 @ SX0 ) )
| ~ ~ ( apply @ SX0 @ ( sK15_SY89 @ SX1 @ SX0 ) @ ( sK14_X @ SX1 @ SX0 ) ) ) )
| ~ ( order @ SX0 @ SX1 )
| ( total_order @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(153,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ( order @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(154,plain,
! [SV7: $i] :
( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( ~ ( member @ ( sK11_X @ SY133 @ SY132 @ SV7 ) @ SY132 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SY133 @ SY132 @ SV7 ) @ SY133 ) )
| ~ ( member @ SY133 @ SY132 )
| ( greatest @ SY133 @ SV7 @ SY132 ) )
| ~ ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( greatest @ SY135 @ SV7 @ SY134 )
| ! [SY136: $i] :
( ~ ( member @ SY136 @ SY134 )
| ( apply @ SV7 @ SY136 @ SY135 ) ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ( greatest @ SY138 @ SV7 @ SY137 )
| ( member @ SY138 @ SY137 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(155,plain,
! [SV8: $i] :
( ( ~ ! [SY139: $i,SY140: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SY140 @ SY139 @ SV8 ) @ SY140 )
| ~ ( member @ ( sK8_X @ SY140 @ SY139 @ SV8 ) @ SY139 ) )
| ~ ( ( SY140
!= ( sK8_X @ SY140 @ SY139 @ SV8 ) ) ) )
| ~ ( member @ SY140 @ SY139 )
| ( min @ SY140 @ SV8 @ SY139 ) )
| ~ ~ ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( min @ SY142 @ SV8 @ SY141 )
| ! [SY143: $i] :
( ~ ( apply @ SV8 @ SY143 @ SY142 )
| ~ ( member @ SY143 @ SY141 )
| ( SY142 = SY143 ) ) )
| ~ ! [SY144: $i,SY145: $i] :
( ~ ( min @ SY145 @ SV8 @ SY144 )
| ( member @ SY145 @ SY144 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(156,plain,
! [SV9: $i] :
( ( ~ ! [SY146: $i,SY147: $i] :
( ~ ( ~ ( member @ ( sK13_X @ SY147 @ SY146 @ SV9 ) @ SY146 )
| ~ ~ ( apply @ SV9 @ ( sK13_X @ SY147 @ SY146 @ SV9 ) @ SY147 ) )
| ( upper_bound @ SY147 @ SV9 @ SY146 ) )
| ~ ! [SY148: $i,SY149: $i] :
( ~ ( upper_bound @ SY149 @ SV9 @ SY148 )
| ! [SY150: $i] :
( ~ ( member @ SY150 @ SY148 )
| ( apply @ SV9 @ SY150 @ SY149 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(157,plain,
! [SV10: $i] :
( ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( member @ SV10 @ ( union @ SY151 @ SY152 ) )
| ( member @ SV10 @ SY151 )
| ( member @ SV10 @ SY152 ) )
| ~ ~ ( ~ ! [SY153: $i] :
( ~ ( member @ SV10 @ SY153 )
| ! [SY154: $i] : ( member @ SV10 @ ( union @ SY153 @ SY154 ) ) )
| ~ ! [SY155: $i,SY156: $i] :
( ~ ( member @ SV10 @ SY156 )
| ( member @ SV10 @ ( union @ SY155 @ SY156 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(158,plain,
( ( ~ ~ ( ~ ~ ( ~ ( subset @ sK3_SY83 @ sK2_SY79 )
| ~ ( subset @ sK4_SY86 @ sK2_SY79 ) )
| ~ ( subset @ sK3_SY83 @ sK4_SY86 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(159,plain,
( ( ~ ~ ( ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 )
| ~ ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(160,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX0 @ SX2 ) )
| ( member @ SX0 @ ( sum @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(161,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( sum @ SX1 ) )
| ~ ( ~ ( member @ ( sK23_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ SX0 @ ( sK23_Y @ SX1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(162,plain,
! [SV11: $i] :
( ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( member @ SV11 @ SY158 )
| ( member @ SV11 @ SY157 )
| ( member @ SV11 @ ( difference @ SY158 @ SY157 ) ) )
| ~ ~ ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( member @ SV11 @ ( difference @ SY160 @ SY159 ) )
| ( member @ SV11 @ SY160 ) )
| ~ ! [SY161: $i] :
( ! [SY162: $i] :
~ ( member @ SV11 @ ( difference @ SY162 @ SY161 ) )
| ~ ( member @ SV11 @ SY161 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(163,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( member @ SX0 @ ( singleton @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(164,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( singleton @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(165,plain,
! [SV12: $i] :
( ( ~ ! [SY163: $i,SY164: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV12 @ SY164 @ ( sK9_X @ SY164 @ SY163 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SY164 @ SY163 @ SV12 ) @ SY163 ) )
| ~ ( ( SY164
!= ( sK9_X @ SY164 @ SY163 @ SV12 ) ) ) )
| ~ ( member @ SY164 @ SY163 )
| ( max @ SY164 @ SV12 @ SY163 ) )
| ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( max @ SY166 @ SV12 @ SY165 )
| ! [SY167: $i] :
( ~ ( apply @ SV12 @ SY166 @ SY167 )
| ~ ( member @ SY167 @ SY165 )
| ( SY166 = SY167 ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( max @ SY169 @ SV12 @ SY168 )
| ( member @ SY169 @ SY168 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(166,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK22_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( member @ SX0 @ ( sK22_Y @ SX1 @ SX0 ) ) )
| ( member @ SX0 @ ( product @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(167,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( product @ SX1 ) )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[136]) ).
thf(168,plain,
! [SV13: $i] :
( ( ~ ! [SY170: $i,SY171: $i] :
( ~ ( member @ SV13 @ ( unordered_pair @ SY170 @ SY171 ) )
| ( SV13 = SY170 )
| ( SV13 = SY171 ) )
| ~ ~ ( ~ ! [SY172: $i] :
( ( SV13 != SY172 )
| ! [SY173: $i] : ( member @ SV13 @ ( unordered_pair @ SY172 @ SY173 ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ( SV13 != SY175 )
| ( member @ SV13 @ ( unordered_pair @ SY174 @ SY175 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(169,plain,
! [SV2: $i] :
( ( ~ ! [SY94: $i,SY95: $i] :
( ~ ( ~ ( member @ ( sK12_X @ SY95 @ SY94 @ SV2 ) @ SY94 )
| ~ ~ ( apply @ SV2 @ SY95 @ ( sK12_X @ SY95 @ SY94 @ SV2 ) ) )
| ( lower_bound @ SY95 @ SV2 @ SY94 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(170,plain,
! [SV2: $i] :
( ( ~ ! [SY96: $i,SY97: $i] :
( ~ ( lower_bound @ SY97 @ SV2 @ SY96 )
| ! [SY98: $i] :
( ~ ( member @ SY98 @ SY96 )
| ( apply @ SV2 @ SY97 @ SY98 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(171,plain,
! [SV3: $i] :
( ( ~ ! [SY99: $i,SY100: $i] :
( ~ ( ~ ( member @ ( sK10_X @ SY100 @ SY99 @ SV3 ) @ SY99 )
| ~ ~ ( apply @ SV3 @ SY100 @ ( sK10_X @ SY100 @ SY99 @ SV3 ) ) )
| ~ ( member @ SY100 @ SY99 )
| ( least @ SY100 @ SV3 @ SY99 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(172,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( least @ SY102 @ SV3 @ SY101 )
| ! [SY103: $i] :
( ~ ( member @ SY103 @ SY101 )
| ( apply @ SV3 @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i,SY105: $i] :
( ~ ( least @ SY105 @ SV3 @ SY104 )
| ( member @ SY105 @ SY104 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[140]) ).
thf(173,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK20_SY91 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( member @ ( sK21_SY93 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK19_X @ SX1 @ SX0 ) @ ( sK20_SY91 @ SX1 @ SX0 ) )
| ~ ( apply @ SX0 @ ( sK20_SY91 @ SX1 @ SX0 ) @ ( sK21_SY93 @ SX1 @ SX0 ) ) )
| ~ ~ ( apply @ SX0 @ ( sK19_X @ SX1 @ SX0 ) @ ( sK21_SY93 @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( member @ ( sK18_X @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( apply @ SX0 @ ( sK18_X @ SX1 @ SX0 ) @ ( sK18_X @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK17_SY90 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SX0 @ ( sK16_X @ SX1 @ SX0 ) @ ( sK17_SY90 @ SX1 @ SX0 ) )
| ~ ( apply @ SX0 @ ( sK17_SY90 @ SX1 @ SX0 ) @ ( sK16_X @ SX1 @ SX0 ) ) )
| ~ ( ( ( sK16_X @ SX1 @ SX0 )
!= ( sK17_SY90 @ SX1 @ SX0 ) ) ) ) )
| ( order @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(174,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(175,plain,
! [SV4: $i,SV14: $i] :
( ( ~ ! [SY176: $i,SY177: $i] :
( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SY176 @ SV14 )
| ~ ( member @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SY177 ) )
| ~ ~ ( apply @ SY176 @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SV4 ) )
| ~ ( lower_bound @ SV4 @ SY176 @ SV14 )
| ~ ( member @ SV4 @ SV14 )
| ( greatest_lower_bound @ SV4 @ SV14 @ SY176 @ SY177 ) )
| ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SY178 @ SY179 )
| ! [SY180: $i] :
( ~ ( lower_bound @ SY180 @ SY178 @ SV14 )
| ~ ( member @ SY180 @ SY179 )
| ( apply @ SY178 @ SY180 @ SV4 ) ) )
| ~ ~ ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) )
| ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(176,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK24_X @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( member @ ( sK24_X @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(177,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(178,plain,
! [SV5: $i,SV15: $i] :
( ( ~ ! [SY185: $i,SY186: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) @ SY186 )
| ~ ( upper_bound @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) @ SY185 @ SV15 ) )
| ~ ~ ( apply @ SY185 @ SV5 @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) ) )
| ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SY185 @ SV15 )
| ( least_upper_bound @ SV5 @ SV15 @ SY185 @ SY186 ) )
| ~ ~ ( ~ ! [SY187: $i,SY188: $i] :
( ~ ( least_upper_bound @ SV5 @ SV15 @ SY187 @ SY188 )
| ! [SY189: $i] :
( ~ ( member @ SY189 @ SY188 )
| ~ ( upper_bound @ SY189 @ SY187 @ SV15 )
| ( apply @ SY187 @ SV5 @ SY189 ) ) )
| ~ ~ ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
| ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(179,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( equal_set @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(180,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(181,plain,
! [SV6: $i] :
( ( ~ ! [SY126: $i,SY127: $i] :
( ~ ( member @ SV6 @ SY126 )
| ~ ( member @ SV6 @ SY127 )
| ( member @ SV6 @ ( intersection @ SY126 @ SY127 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(182,plain,
! [SV6: $i] :
( ( ~ ~ ( ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( member @ SV6 @ ( intersection @ SY128 @ SY129 ) )
| ( member @ SV6 @ SY128 ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( member @ SV6 @ ( intersection @ SY130 @ SY131 ) )
| ( member @ SV6 @ SY131 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[149]) ).
thf(183,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( power_set @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(184,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( member @ SX0 @ ( power_set @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(185,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK14_X @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ ( sK15_SY89 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ~ ( apply @ SX0 @ ( sK14_X @ SX1 @ SX0 ) @ ( sK15_SY89 @ SX1 @ SX0 ) )
| ~ ~ ( apply @ SX0 @ ( sK15_SY89 @ SX1 @ SX0 ) @ ( sK14_X @ SX1 @ SX0 ) ) ) )
| ~ ( order @ SX0 @ SX1 )
| ( total_order @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(186,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ( order @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(187,plain,
! [SV7: $i] :
( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( ~ ( member @ ( sK11_X @ SY133 @ SY132 @ SV7 ) @ SY132 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SY133 @ SY132 @ SV7 ) @ SY133 ) )
| ~ ( member @ SY133 @ SY132 )
| ( greatest @ SY133 @ SV7 @ SY132 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(188,plain,
! [SV7: $i] :
( ( ~ ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( greatest @ SY135 @ SV7 @ SY134 )
| ! [SY136: $i] :
( ~ ( member @ SY136 @ SY134 )
| ( apply @ SV7 @ SY136 @ SY135 ) ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ( greatest @ SY138 @ SV7 @ SY137 )
| ( member @ SY138 @ SY137 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(189,plain,
! [SV8: $i] :
( ( ~ ! [SY139: $i,SY140: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SY140 @ SY139 @ SV8 ) @ SY140 )
| ~ ( member @ ( sK8_X @ SY140 @ SY139 @ SV8 ) @ SY139 ) )
| ~ ( ( SY140
!= ( sK8_X @ SY140 @ SY139 @ SV8 ) ) ) )
| ~ ( member @ SY140 @ SY139 )
| ( min @ SY140 @ SV8 @ SY139 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(190,plain,
! [SV8: $i] :
( ( ~ ~ ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( min @ SY142 @ SV8 @ SY141 )
| ! [SY143: $i] :
( ~ ( apply @ SV8 @ SY143 @ SY142 )
| ~ ( member @ SY143 @ SY141 )
| ( SY142 = SY143 ) ) )
| ~ ! [SY144: $i,SY145: $i] :
( ~ ( min @ SY145 @ SV8 @ SY144 )
| ( member @ SY145 @ SY144 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(191,plain,
! [SV9: $i] :
( ( ~ ! [SY146: $i,SY147: $i] :
( ~ ( ~ ( member @ ( sK13_X @ SY147 @ SY146 @ SV9 ) @ SY146 )
| ~ ~ ( apply @ SV9 @ ( sK13_X @ SY147 @ SY146 @ SV9 ) @ SY147 ) )
| ( upper_bound @ SY147 @ SV9 @ SY146 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(192,plain,
! [SV9: $i] :
( ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( upper_bound @ SY149 @ SV9 @ SY148 )
| ! [SY150: $i] :
( ~ ( member @ SY150 @ SY148 )
| ( apply @ SV9 @ SY150 @ SY149 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(193,plain,
! [SV10: $i] :
( ( ~ ! [SY151: $i,SY152: $i] :
( ~ ( member @ SV10 @ ( union @ SY151 @ SY152 ) )
| ( member @ SV10 @ SY151 )
| ( member @ SV10 @ SY152 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(194,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ! [SY153: $i] :
( ~ ( member @ SV10 @ SY153 )
| ! [SY154: $i] : ( member @ SV10 @ ( union @ SY153 @ SY154 ) ) )
| ~ ! [SY155: $i,SY156: $i] :
( ~ ( member @ SV10 @ SY156 )
| ( member @ SV10 @ ( union @ SY155 @ SY156 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(195,plain,
( ( ~ ( ~ ~ ( ~ ( subset @ sK3_SY83 @ sK2_SY79 )
| ~ ( subset @ sK4_SY86 @ sK2_SY79 ) )
| ~ ( subset @ sK3_SY83 @ sK4_SY86 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(196,plain,
( ( ~ ( ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 )
| ~ ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(197,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX0 @ SX2 ) )
| ( member @ SX0 @ ( sum @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(198,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( sum @ SX1 ) )
| ~ ( ~ ( member @ ( sK23_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ( member @ SX0 @ ( sK23_Y @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(199,plain,
! [SV11: $i] :
( ( ~ ! [SY157: $i,SY158: $i] :
( ~ ( member @ SV11 @ SY158 )
| ( member @ SV11 @ SY157 )
| ( member @ SV11 @ ( difference @ SY158 @ SY157 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(200,plain,
! [SV11: $i] :
( ( ~ ~ ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( member @ SV11 @ ( difference @ SY160 @ SY159 ) )
| ( member @ SV11 @ SY160 ) )
| ~ ! [SY161: $i] :
( ! [SY162: $i] :
~ ( member @ SV11 @ ( difference @ SY162 @ SY161 ) )
| ~ ( member @ SV11 @ SY161 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(201,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( member @ SX0 @ ( singleton @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(202,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( singleton @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(203,plain,
! [SV12: $i] :
( ( ~ ! [SY163: $i,SY164: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV12 @ SY164 @ ( sK9_X @ SY164 @ SY163 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SY164 @ SY163 @ SV12 ) @ SY163 ) )
| ~ ( ( SY164
!= ( sK9_X @ SY164 @ SY163 @ SV12 ) ) ) )
| ~ ( member @ SY164 @ SY163 )
| ( max @ SY164 @ SV12 @ SY163 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(204,plain,
! [SV12: $i] :
( ( ~ ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( max @ SY166 @ SV12 @ SY165 )
| ! [SY167: $i] :
( ~ ( apply @ SV12 @ SY166 @ SY167 )
| ~ ( member @ SY167 @ SY165 )
| ( SY166 = SY167 ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( max @ SY169 @ SV12 @ SY168 )
| ( member @ SY169 @ SY168 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(205,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( member @ ( sK22_Y @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( member @ SX0 @ ( sK22_Y @ SX1 @ SX0 ) ) )
| ( member @ SX0 @ ( product @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(206,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( member @ SX0 @ ( product @ SX1 ) )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( member @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(207,plain,
! [SV13: $i] :
( ( ~ ! [SY170: $i,SY171: $i] :
( ~ ( member @ SV13 @ ( unordered_pair @ SY170 @ SY171 ) )
| ( SV13 = SY170 )
| ( SV13 = SY171 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(208,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ! [SY172: $i] :
( ( SV13 != SY172 )
| ! [SY173: $i] : ( member @ SV13 @ ( unordered_pair @ SY172 @ SY173 ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ( SV13 != SY175 )
| ( member @ SV13 @ ( unordered_pair @ SY174 @ SY175 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(209,plain,
! [SV2: $i] :
( ( ! [SY94: $i,SY95: $i] :
( ~ ( ~ ( member @ ( sK12_X @ SY95 @ SY94 @ SV2 ) @ SY94 )
| ~ ~ ( apply @ SV2 @ SY95 @ ( sK12_X @ SY95 @ SY94 @ SV2 ) ) )
| ( lower_bound @ SY95 @ SV2 @ SY94 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(210,plain,
! [SV2: $i] :
( ( ! [SY96: $i,SY97: $i] :
( ~ ( lower_bound @ SY97 @ SV2 @ SY96 )
| ! [SY98: $i] :
( ~ ( member @ SY98 @ SY96 )
| ( apply @ SV2 @ SY97 @ SY98 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(211,plain,
! [SV3: $i] :
( ( ! [SY99: $i,SY100: $i] :
( ~ ( ~ ( member @ ( sK10_X @ SY100 @ SY99 @ SV3 ) @ SY99 )
| ~ ~ ( apply @ SV3 @ SY100 @ ( sK10_X @ SY100 @ SY99 @ SV3 ) ) )
| ~ ( member @ SY100 @ SY99 )
| ( least @ SY100 @ SV3 @ SY99 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(212,plain,
! [SV3: $i] :
( ( ~ ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( least @ SY102 @ SV3 @ SY101 )
| ! [SY103: $i] :
( ~ ( member @ SY103 @ SY101 )
| ( apply @ SV3 @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i,SY105: $i] :
( ~ ( least @ SY105 @ SV3 @ SY104 )
| ( member @ SY105 @ SY104 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(213,plain,
! [SV16: $i] :
( ( ! [SY194: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SY194 @ SV16 ) @ SY194 )
| ~ ( member @ ( sK20_SY91 @ SY194 @ SV16 ) @ SY194 ) )
| ~ ( member @ ( sK21_SY93 @ SY194 @ SV16 ) @ SY194 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SY194 @ SV16 ) @ ( sK20_SY91 @ SY194 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SY194 @ SV16 ) @ ( sK21_SY93 @ SY194 @ SV16 ) ) )
| ~ ~ ( apply @ SV16 @ ( sK19_X @ SY194 @ SV16 ) @ ( sK21_SY93 @ SY194 @ SV16 ) ) ) )
| ~ ( ~ ( member @ ( sK18_X @ SY194 @ SV16 ) @ SY194 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SY194 @ SV16 ) @ ( sK18_X @ SY194 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SY194 @ SV16 ) @ SY194 )
| ~ ( member @ ( sK17_SY90 @ SY194 @ SV16 ) @ SY194 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SY194 @ SV16 ) @ ( sK17_SY90 @ SY194 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SY194 @ SV16 ) @ ( sK16_X @ SY194 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SY194 @ SV16 )
!= ( sK17_SY90 @ SY194 @ SV16 ) ) ) ) )
| ( order @ SV16 @ SY194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(214,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(215,plain,
! [SV4: $i,SV14: $i] :
( ( ~ ! [SY176: $i,SY177: $i] :
( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SY176 @ SV14 )
| ~ ( member @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SY177 ) )
| ~ ~ ( apply @ SY176 @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SV4 ) )
| ~ ( lower_bound @ SV4 @ SY176 @ SV14 )
| ~ ( member @ SV4 @ SV14 )
| ( greatest_lower_bound @ SV4 @ SV14 @ SY176 @ SY177 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(216,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SY178 @ SY179 )
| ! [SY180: $i] :
( ~ ( lower_bound @ SY180 @ SY178 @ SV14 )
| ~ ( member @ SY180 @ SY179 )
| ( apply @ SY178 @ SY180 @ SV4 ) ) )
| ~ ~ ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) )
| ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(217,plain,
! [SV17: $i] :
( ( ! [SY195: $i] :
( ~ ( ~ ( member @ ( sK24_X @ SY195 @ SV17 ) @ SV17 )
| ~ ~ ( member @ ( sK24_X @ SY195 @ SV17 ) @ SY195 ) )
| ( subset @ SV17 @ SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(218,plain,
! [SV18: $i] :
( ( ! [SY196: $i] :
( ~ ( subset @ SV18 @ SY196 )
| ! [SY197: $i] :
( ~ ( member @ SY197 @ SV18 )
| ( member @ SY197 @ SY196 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(219,plain,
! [SV5: $i,SV15: $i] :
( ( ~ ! [SY185: $i,SY186: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) @ SY186 )
| ~ ( upper_bound @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) @ SY185 @ SV15 ) )
| ~ ~ ( apply @ SY185 @ SV5 @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) ) )
| ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SY185 @ SV15 )
| ( least_upper_bound @ SV5 @ SV15 @ SY185 @ SY186 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(220,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ~ ( ~ ! [SY187: $i,SY188: $i] :
( ~ ( least_upper_bound @ SV5 @ SV15 @ SY187 @ SY188 )
| ! [SY189: $i] :
( ~ ( member @ SY189 @ SY188 )
| ~ ( upper_bound @ SY189 @ SY187 @ SV15 )
| ( apply @ SY187 @ SV5 @ SY189 ) ) )
| ~ ~ ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
| ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(221,plain,
! [SV19: $i] :
( ( ! [SY198: $i] :
( ~ ( subset @ SV19 @ SY198 )
| ~ ( subset @ SY198 @ SV19 )
| ( equal_set @ SV19 @ SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(222,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(223,plain,
! [SV6: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ~ ( member @ SV6 @ SY126 )
| ~ ( member @ SV6 @ SY127 )
| ( member @ SV6 @ ( intersection @ SY126 @ SY127 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(224,plain,
! [SV6: $i] :
( ( ~ ( ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( member @ SV6 @ ( intersection @ SY128 @ SY129 ) )
| ( member @ SV6 @ SY128 ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( member @ SV6 @ ( intersection @ SY130 @ SY131 ) )
| ( member @ SV6 @ SY131 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(225,plain,
! [SV20: $i] :
( ( ! [SY199: $i] :
( ~ ( member @ SV20 @ ( power_set @ SY199 ) )
| ( subset @ SV20 @ SY199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(226,plain,
! [SV21: $i] :
( ( ! [SY200: $i] :
( ~ ( subset @ SV21 @ SY200 )
| ( member @ SV21 @ ( power_set @ SY200 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(227,plain,
! [SV22: $i] :
( ( ! [SY201: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK14_X @ SY201 @ SV22 ) @ SY201 )
| ~ ( member @ ( sK15_SY89 @ SY201 @ SV22 ) @ SY201 ) )
| ~ ~ ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SY201 @ SV22 ) @ ( sK15_SY89 @ SY201 @ SV22 ) )
| ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SY201 @ SV22 ) @ ( sK14_X @ SY201 @ SV22 ) ) ) )
| ~ ( order @ SV22 @ SY201 )
| ( total_order @ SV22 @ SY201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(228,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ( order @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(229,plain,
! [SV7: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ~ ( ~ ( member @ ( sK11_X @ SY133 @ SY132 @ SV7 ) @ SY132 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SY133 @ SY132 @ SV7 ) @ SY133 ) )
| ~ ( member @ SY133 @ SY132 )
| ( greatest @ SY133 @ SV7 @ SY132 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(230,plain,
! [SV7: $i] :
( ( ~ ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( greatest @ SY135 @ SV7 @ SY134 )
| ! [SY136: $i] :
( ~ ( member @ SY136 @ SY134 )
| ( apply @ SV7 @ SY136 @ SY135 ) ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ( greatest @ SY138 @ SV7 @ SY137 )
| ( member @ SY138 @ SY137 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(231,plain,
! [SV8: $i] :
( ( ! [SY139: $i,SY140: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SY140 @ SY139 @ SV8 ) @ SY140 )
| ~ ( member @ ( sK8_X @ SY140 @ SY139 @ SV8 ) @ SY139 ) )
| ~ ( ( SY140
!= ( sK8_X @ SY140 @ SY139 @ SV8 ) ) ) )
| ~ ( member @ SY140 @ SY139 )
| ( min @ SY140 @ SV8 @ SY139 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(232,plain,
! [SV8: $i] :
( ( ~ ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( min @ SY142 @ SV8 @ SY141 )
| ! [SY143: $i] :
( ~ ( apply @ SV8 @ SY143 @ SY142 )
| ~ ( member @ SY143 @ SY141 )
| ( SY142 = SY143 ) ) )
| ~ ! [SY144: $i,SY145: $i] :
( ~ ( min @ SY145 @ SV8 @ SY144 )
| ( member @ SY145 @ SY144 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(233,plain,
! [SV9: $i] :
( ( ! [SY146: $i,SY147: $i] :
( ~ ( ~ ( member @ ( sK13_X @ SY147 @ SY146 @ SV9 ) @ SY146 )
| ~ ~ ( apply @ SV9 @ ( sK13_X @ SY147 @ SY146 @ SV9 ) @ SY147 ) )
| ( upper_bound @ SY147 @ SV9 @ SY146 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(234,plain,
! [SV9: $i] :
( ( ! [SY148: $i,SY149: $i] :
( ~ ( upper_bound @ SY149 @ SV9 @ SY148 )
| ! [SY150: $i] :
( ~ ( member @ SY150 @ SY148 )
| ( apply @ SV9 @ SY150 @ SY149 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(235,plain,
! [SV10: $i] :
( ( ! [SY151: $i,SY152: $i] :
( ~ ( member @ SV10 @ ( union @ SY151 @ SY152 ) )
| ( member @ SV10 @ SY151 )
| ( member @ SV10 @ SY152 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(236,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY153: $i] :
( ~ ( member @ SV10 @ SY153 )
| ! [SY154: $i] : ( member @ SV10 @ ( union @ SY153 @ SY154 ) ) )
| ~ ! [SY155: $i,SY156: $i] :
( ~ ( member @ SV10 @ SY156 )
| ( member @ SV10 @ ( union @ SY155 @ SY156 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(237,plain,
( ( ~ ~ ( ~ ( subset @ sK3_SY83 @ sK2_SY79 )
| ~ ( subset @ sK4_SY86 @ sK2_SY79 ) )
| ~ ( subset @ sK3_SY83 @ sK4_SY86 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(238,plain,
( ( ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 )
| ~ ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(239,plain,
! [SV23: $i] :
( ( ! [SY202: $i] :
( ! [SY203: $i] :
( ~ ( member @ SY203 @ SY202 )
| ~ ( member @ SV23 @ SY203 ) )
| ( member @ SV23 @ ( sum @ SY202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(240,plain,
! [SV24: $i] :
( ( ! [SY204: $i] :
( ~ ( member @ SV24 @ ( sum @ SY204 ) )
| ~ ( ~ ( member @ ( sK23_Y @ SY204 @ SV24 ) @ SY204 )
| ~ ( member @ SV24 @ ( sK23_Y @ SY204 @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(241,plain,
! [SV11: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ~ ( member @ SV11 @ SY158 )
| ( member @ SV11 @ SY157 )
| ( member @ SV11 @ ( difference @ SY158 @ SY157 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(242,plain,
! [SV11: $i] :
( ( ~ ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( member @ SV11 @ ( difference @ SY160 @ SY159 ) )
| ( member @ SV11 @ SY160 ) )
| ~ ! [SY161: $i] :
( ! [SY162: $i] :
~ ( member @ SV11 @ ( difference @ SY162 @ SY161 ) )
| ~ ( member @ SV11 @ SY161 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(243,plain,
! [SV25: $i] :
( ( ! [SY205: $i] :
( ( SV25 != SY205 )
| ( member @ SV25 @ ( singleton @ SY205 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(244,plain,
! [SV26: $i] :
( ( ! [SY206: $i] :
( ~ ( member @ SV26 @ ( singleton @ SY206 ) )
| ( SV26 = SY206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(245,plain,
! [SV12: $i] :
( ( ! [SY163: $i,SY164: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV12 @ SY164 @ ( sK9_X @ SY164 @ SY163 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SY164 @ SY163 @ SV12 ) @ SY163 ) )
| ~ ( ( SY164
!= ( sK9_X @ SY164 @ SY163 @ SV12 ) ) ) )
| ~ ( member @ SY164 @ SY163 )
| ( max @ SY164 @ SV12 @ SY163 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(246,plain,
! [SV12: $i] :
( ( ~ ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( max @ SY166 @ SV12 @ SY165 )
| ! [SY167: $i] :
( ~ ( apply @ SV12 @ SY166 @ SY167 )
| ~ ( member @ SY167 @ SY165 )
| ( SY166 = SY167 ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( max @ SY169 @ SV12 @ SY168 )
| ( member @ SY169 @ SY168 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(247,plain,
! [SV27: $i] :
( ( ! [SY207: $i] :
( ~ ( ~ ( member @ ( sK22_Y @ SY207 @ SV27 ) @ SY207 )
| ~ ~ ( member @ SV27 @ ( sK22_Y @ SY207 @ SV27 ) ) )
| ( member @ SV27 @ ( product @ SY207 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(248,plain,
! [SV28: $i] :
( ( ! [SY208: $i] :
( ~ ( member @ SV28 @ ( product @ SY208 ) )
| ! [SY209: $i] :
( ~ ( member @ SY209 @ SY208 )
| ( member @ SV28 @ SY209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(249,plain,
! [SV13: $i] :
( ( ! [SY170: $i,SY171: $i] :
( ~ ( member @ SV13 @ ( unordered_pair @ SY170 @ SY171 ) )
| ( SV13 = SY170 )
| ( SV13 = SY171 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(250,plain,
! [SV13: $i] :
( ( ~ ( ~ ! [SY172: $i] :
( ( SV13 != SY172 )
| ! [SY173: $i] : ( member @ SV13 @ ( unordered_pair @ SY172 @ SY173 ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ( SV13 != SY175 )
| ( member @ SV13 @ ( unordered_pair @ SY174 @ SY175 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(251,plain,
! [SV2: $i,SV29: $i] :
( ( ! [SY210: $i] :
( ~ ( ~ ( member @ ( sK12_X @ SY210 @ SV29 @ SV2 ) @ SV29 )
| ~ ~ ( apply @ SV2 @ SY210 @ ( sK12_X @ SY210 @ SV29 @ SV2 ) ) )
| ( lower_bound @ SY210 @ SV2 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(252,plain,
! [SV30: $i,SV2: $i] :
( ( ! [SY211: $i] :
( ~ ( lower_bound @ SY211 @ SV2 @ SV30 )
| ! [SY212: $i] :
( ~ ( member @ SY212 @ SV30 )
| ( apply @ SV2 @ SY211 @ SY212 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(253,plain,
! [SV3: $i,SV31: $i] :
( ( ! [SY213: $i] :
( ~ ( ~ ( member @ ( sK10_X @ SY213 @ SV31 @ SV3 ) @ SV31 )
| ~ ~ ( apply @ SV3 @ SY213 @ ( sK10_X @ SY213 @ SV31 @ SV3 ) ) )
| ~ ( member @ SY213 @ SV31 )
| ( least @ SY213 @ SV3 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(254,plain,
! [SV3: $i] :
( ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( least @ SY102 @ SV3 @ SY101 )
| ! [SY103: $i] :
( ~ ( member @ SY103 @ SY101 )
| ( apply @ SV3 @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i,SY105: $i] :
( ~ ( least @ SY105 @ SV3 @ SY104 )
| ( member @ SY105 @ SY104 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(255,plain,
! [SV16: $i,SV32: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
| ~ ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) ) )
| ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
| ( order @ SV16 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(256,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ SX0 @ SX2 @ SX4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(257,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(258,plain,
! [SV4: $i,SV14: $i] :
( ( ! [SY176: $i,SY177: $i] :
( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SY176 @ SV14 )
| ~ ( member @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SY177 ) )
| ~ ~ ( apply @ SY176 @ ( sK6_M @ SY177 @ SY176 @ SV14 @ SV4 ) @ SV4 ) )
| ~ ( lower_bound @ SV4 @ SY176 @ SV14 )
| ~ ( member @ SV4 @ SV14 )
| ( greatest_lower_bound @ SV4 @ SV14 @ SY176 @ SY177 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(259,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SY178 @ SY179 )
| ! [SY180: $i] :
( ~ ( lower_bound @ SY180 @ SY178 @ SV14 )
| ~ ( member @ SY180 @ SY179 )
| ( apply @ SY178 @ SY180 @ SV4 ) ) )
| ~ ~ ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) )
| ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(260,plain,
! [SV17: $i,SV33: $i] :
( ( ~ ( ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV17 )
| ~ ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV33 ) )
| ( subset @ SV17 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(261,plain,
! [SV34: $i,SV18: $i] :
( ( ~ ( subset @ SV18 @ SV34 )
| ! [SY214: $i] :
( ~ ( member @ SY214 @ SV18 )
| ( member @ SY214 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(262,plain,
! [SV5: $i,SV15: $i] :
( ( ! [SY185: $i,SY186: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) @ SY186 )
| ~ ( upper_bound @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) @ SY185 @ SV15 ) )
| ~ ~ ( apply @ SY185 @ SV5 @ ( sK7_M @ SY186 @ SY185 @ SV15 @ SV5 ) ) )
| ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SY185 @ SV15 )
| ( least_upper_bound @ SV5 @ SV15 @ SY185 @ SY186 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(263,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ( ~ ! [SY187: $i,SY188: $i] :
( ~ ( least_upper_bound @ SV5 @ SV15 @ SY187 @ SY188 )
| ! [SY189: $i] :
( ~ ( member @ SY189 @ SY188 )
| ~ ( upper_bound @ SY189 @ SY187 @ SV15 )
| ( apply @ SY187 @ SV5 @ SY189 ) ) )
| ~ ~ ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
| ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(264,plain,
! [SV35: $i,SV19: $i] :
( ( ~ ( subset @ SV19 @ SV35 )
| ~ ( subset @ SV35 @ SV19 )
| ( equal_set @ SV19 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(265,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(266,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(267,plain,
! [SV36: $i,SV6: $i] :
( ( ! [SY215: $i] :
( ~ ( member @ SV6 @ SV36 )
| ~ ( member @ SV6 @ SY215 )
| ( member @ SV6 @ ( intersection @ SV36 @ SY215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(268,plain,
! [SV6: $i] :
( ( ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( member @ SV6 @ ( intersection @ SY128 @ SY129 ) )
| ( member @ SV6 @ SY128 ) )
| ~ ! [SY130: $i,SY131: $i] :
( ~ ( member @ SV6 @ ( intersection @ SY130 @ SY131 ) )
| ( member @ SV6 @ SY131 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(269,plain,
! [SV37: $i,SV20: $i] :
( ( ~ ( member @ SV20 @ ( power_set @ SV37 ) )
| ( subset @ SV20 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(270,plain,
! [SV38: $i,SV21: $i] :
( ( ~ ( subset @ SV21 @ SV38 )
| ( member @ SV21 @ ( power_set @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(271,plain,
! [SV22: $i,SV39: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
| ~ ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 ) )
| ~ ~ ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
| ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) ) )
| ~ ( order @ SV22 @ SV39 )
| ( total_order @ SV22 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(272,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(273,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ( order @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(274,plain,
! [SV7: $i,SV40: $i] :
( ( ! [SY216: $i] :
( ~ ( ~ ( member @ ( sK11_X @ SY216 @ SV40 @ SV7 ) @ SV40 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SY216 @ SV40 @ SV7 ) @ SY216 ) )
| ~ ( member @ SY216 @ SV40 )
| ( greatest @ SY216 @ SV7 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(275,plain,
! [SV7: $i] :
( ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( greatest @ SY135 @ SV7 @ SY134 )
| ! [SY136: $i] :
( ~ ( member @ SY136 @ SY134 )
| ( apply @ SV7 @ SY136 @ SY135 ) ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ( greatest @ SY138 @ SV7 @ SY137 )
| ( member @ SY138 @ SY137 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(276,plain,
! [SV41: $i,SV8: $i] :
( ( ! [SY217: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SY217 @ SV41 @ SV8 ) @ SY217 )
| ~ ( member @ ( sK8_X @ SY217 @ SV41 @ SV8 ) @ SV41 ) )
| ~ ( ( SY217
!= ( sK8_X @ SY217 @ SV41 @ SV8 ) ) ) )
| ~ ( member @ SY217 @ SV41 )
| ( min @ SY217 @ SV8 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(277,plain,
! [SV8: $i] :
( ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( min @ SY142 @ SV8 @ SY141 )
| ! [SY143: $i] :
( ~ ( apply @ SV8 @ SY143 @ SY142 )
| ~ ( member @ SY143 @ SY141 )
| ( SY142 = SY143 ) ) )
| ~ ! [SY144: $i,SY145: $i] :
( ~ ( min @ SY145 @ SV8 @ SY144 )
| ( member @ SY145 @ SY144 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(278,plain,
! [SV9: $i,SV42: $i] :
( ( ! [SY218: $i] :
( ~ ( ~ ( member @ ( sK13_X @ SY218 @ SV42 @ SV9 ) @ SV42 )
| ~ ~ ( apply @ SV9 @ ( sK13_X @ SY218 @ SV42 @ SV9 ) @ SY218 ) )
| ( upper_bound @ SY218 @ SV9 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(279,plain,
! [SV43: $i,SV9: $i] :
( ( ! [SY219: $i] :
( ~ ( upper_bound @ SY219 @ SV9 @ SV43 )
| ! [SY220: $i] :
( ~ ( member @ SY220 @ SV43 )
| ( apply @ SV9 @ SY220 @ SY219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(280,plain,
! [SV44: $i,SV10: $i] :
( ( ! [SY221: $i] :
( ~ ( member @ SV10 @ ( union @ SV44 @ SY221 ) )
| ( member @ SV10 @ SV44 )
| ( member @ SV10 @ SY221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(281,plain,
! [SV10: $i] :
( ( ~ ! [SY153: $i] :
( ~ ( member @ SV10 @ SY153 )
| ! [SY154: $i] : ( member @ SV10 @ ( union @ SY153 @ SY154 ) ) )
| ~ ! [SY155: $i,SY156: $i] :
( ~ ( member @ SV10 @ SY156 )
| ( member @ SV10 @ ( union @ SY155 @ SY156 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(282,plain,
( ( ~ ~ ( ~ ( subset @ sK3_SY83 @ sK2_SY79 )
| ~ ( subset @ sK4_SY86 @ sK2_SY79 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(283,plain,
( ( ~ ( subset @ sK3_SY83 @ sK4_SY86 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(284,plain,
( ( ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(285,plain,
( ( ~ ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(286,plain,
! [SV23: $i,SV45: $i] :
( ( ! [SY222: $i] :
( ~ ( member @ SY222 @ SV45 )
| ~ ( member @ SV23 @ SY222 ) )
| ( member @ SV23 @ ( sum @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(287,plain,
! [SV46: $i,SV24: $i] :
( ( ~ ( member @ SV24 @ ( sum @ SV46 ) )
| ~ ( ~ ( member @ ( sK23_Y @ SV46 @ SV24 ) @ SV46 )
| ~ ( member @ SV24 @ ( sK23_Y @ SV46 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(288,plain,
! [SV47: $i,SV11: $i] :
( ( ! [SY223: $i] :
( ~ ( member @ SV11 @ SY223 )
| ( member @ SV11 @ SV47 )
| ( member @ SV11 @ ( difference @ SY223 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(289,plain,
! [SV11: $i] :
( ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( member @ SV11 @ ( difference @ SY160 @ SY159 ) )
| ( member @ SV11 @ SY160 ) )
| ~ ! [SY161: $i] :
( ! [SY162: $i] :
~ ( member @ SV11 @ ( difference @ SY162 @ SY161 ) )
| ~ ( member @ SV11 @ SY161 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(290,plain,
! [SV48: $i,SV25: $i] :
( ( ( SV25 != SV48 )
| ( member @ SV25 @ ( singleton @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(291,plain,
! [SV49: $i,SV26: $i] :
( ( ~ ( member @ SV26 @ ( singleton @ SV49 ) )
| ( SV26 = SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(292,plain,
! [SV50: $i,SV12: $i] :
( ( ! [SY224: $i] :
( ~ ( ~ ~ ( ~ ( apply @ SV12 @ SY224 @ ( sK9_X @ SY224 @ SV50 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SY224 @ SV50 @ SV12 ) @ SV50 ) )
| ~ ( ( SY224
!= ( sK9_X @ SY224 @ SV50 @ SV12 ) ) ) )
| ~ ( member @ SY224 @ SV50 )
| ( max @ SY224 @ SV12 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(293,plain,
! [SV12: $i] :
( ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( max @ SY166 @ SV12 @ SY165 )
| ! [SY167: $i] :
( ~ ( apply @ SV12 @ SY166 @ SY167 )
| ~ ( member @ SY167 @ SY165 )
| ( SY166 = SY167 ) ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( max @ SY169 @ SV12 @ SY168 )
| ( member @ SY169 @ SY168 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(294,plain,
! [SV27: $i,SV51: $i] :
( ( ~ ( ~ ( member @ ( sK22_Y @ SV51 @ SV27 ) @ SV51 )
| ~ ~ ( member @ SV27 @ ( sK22_Y @ SV51 @ SV27 ) ) )
| ( member @ SV27 @ ( product @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(295,plain,
! [SV52: $i,SV28: $i] :
( ( ~ ( member @ SV28 @ ( product @ SV52 ) )
| ! [SY225: $i] :
( ~ ( member @ SY225 @ SV52 )
| ( member @ SV28 @ SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(296,plain,
! [SV53: $i,SV13: $i] :
( ( ! [SY226: $i] :
( ~ ( member @ SV13 @ ( unordered_pair @ SV53 @ SY226 ) )
| ( SV13 = SV53 )
| ( SV13 = SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(297,plain,
! [SV13: $i] :
( ( ~ ! [SY172: $i] :
( ( SV13 != SY172 )
| ! [SY173: $i] : ( member @ SV13 @ ( unordered_pair @ SY172 @ SY173 ) ) )
| ~ ! [SY174: $i,SY175: $i] :
( ( SV13 != SY175 )
| ( member @ SV13 @ ( unordered_pair @ SY174 @ SY175 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(298,plain,
! [SV2: $i,SV29: $i,SV54: $i] :
( ( ~ ( ~ ( member @ ( sK12_X @ SV54 @ SV29 @ SV2 ) @ SV29 )
| ~ ~ ( apply @ SV2 @ SV54 @ ( sK12_X @ SV54 @ SV29 @ SV2 ) ) )
| ( lower_bound @ SV54 @ SV2 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(299,plain,
! [SV30: $i,SV2: $i,SV55: $i] :
( ( ~ ( lower_bound @ SV55 @ SV2 @ SV30 )
| ! [SY227: $i] :
( ~ ( member @ SY227 @ SV30 )
| ( apply @ SV2 @ SV55 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(300,plain,
! [SV3: $i,SV31: $i,SV56: $i] :
( ( ~ ( ~ ( member @ ( sK10_X @ SV56 @ SV31 @ SV3 ) @ SV31 )
| ~ ~ ( apply @ SV3 @ SV56 @ ( sK10_X @ SV56 @ SV31 @ SV3 ) ) )
| ~ ( member @ SV56 @ SV31 )
| ( least @ SV56 @ SV3 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(301,plain,
! [SV3: $i] :
( ( ~ ! [SY101: $i,SY102: $i] :
( ~ ( least @ SY102 @ SV3 @ SY101 )
| ! [SY103: $i] :
( ~ ( member @ SY103 @ SY101 )
| ( apply @ SV3 @ SY102 @ SY103 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(302,plain,
! [SV3: $i] :
( ( ~ ! [SY104: $i,SY105: $i] :
( ~ ( least @ SY105 @ SV3 @ SY104 )
| ( member @ SY105 @ SY104 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(303,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
| ~ ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) ) )
| ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(304,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ SX0 @ SX2 @ SX4 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(305,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(306,plain,
! [SV4: $i,SV14: $i,SV57: $i] :
( ( ! [SY228: $i] :
( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SY228 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
| ~ ( member @ ( sK6_M @ SY228 @ SV57 @ SV14 @ SV4 ) @ SY228 ) )
| ~ ~ ( apply @ SV57 @ ( sK6_M @ SY228 @ SV57 @ SV14 @ SV4 ) @ SV4 ) )
| ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 )
| ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SY228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(307,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SY178 @ SY179 )
| ! [SY180: $i] :
( ~ ( lower_bound @ SY180 @ SY178 @ SV14 )
| ~ ( member @ SY180 @ SY179 )
| ( apply @ SY178 @ SY180 @ SV4 ) ) )
| ~ ~ ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) )
| ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(308,plain,
! [SV17: $i,SV33: $i] :
( ( ( ~ ( ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV17 )
| ~ ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV33 ) ) )
= $true )
| ( ( subset @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(309,plain,
! [SV34: $i,SV18: $i] :
( ( ( ~ ( subset @ SV18 @ SV34 ) )
= $true )
| ( ( ! [SY214: $i] :
( ~ ( member @ SY214 @ SV18 )
| ( member @ SY214 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(310,plain,
! [SV5: $i,SV15: $i,SV58: $i] :
( ( ! [SY229: $i] :
( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SY229 @ SV58 @ SV15 @ SV5 ) @ SY229 )
| ~ ( upper_bound @ ( sK7_M @ SY229 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) )
| ~ ~ ( apply @ SV58 @ SV5 @ ( sK7_M @ SY229 @ SV58 @ SV15 @ SV5 ) ) )
| ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 )
| ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SY229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(311,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ! [SY187: $i,SY188: $i] :
( ~ ( least_upper_bound @ SV5 @ SV15 @ SY187 @ SY188 )
| ! [SY189: $i] :
( ~ ( member @ SY189 @ SY188 )
| ~ ( upper_bound @ SY189 @ SY187 @ SV15 )
| ( apply @ SY187 @ SV5 @ SY189 ) ) )
| ~ ~ ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
| ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(312,plain,
! [SV35: $i,SV19: $i] :
( ( ( ~ ( subset @ SV19 @ SV35 )
| ~ ( subset @ SV35 @ SV19 ) )
= $true )
| ( ( equal_set @ SV19 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(313,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(314,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( equal_set @ SX0 @ SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(315,plain,
! [SV59: $i,SV36: $i,SV6: $i] :
( ( ~ ( member @ SV6 @ SV36 )
| ~ ( member @ SV6 @ SV59 )
| ( member @ SV6 @ ( intersection @ SV36 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(316,plain,
! [SV6: $i] :
( ( ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( member @ SV6 @ ( intersection @ SY128 @ SY129 ) )
| ( member @ SV6 @ SY128 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(317,plain,
! [SV6: $i] :
( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( member @ SV6 @ ( intersection @ SY130 @ SY131 ) )
| ( member @ SV6 @ SY131 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(318,plain,
! [SV37: $i,SV20: $i] :
( ( ( ~ ( member @ SV20 @ ( power_set @ SV37 ) ) )
= $true )
| ( ( subset @ SV20 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(319,plain,
! [SV38: $i,SV21: $i] :
( ( ( ~ ( subset @ SV21 @ SV38 ) )
= $true )
| ( ( member @ SV21 @ ( power_set @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(320,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
| ~ ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 ) )
| ~ ~ ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
| ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) ) )
| ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(321,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(322,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( total_order @ SX0 @ SX1 )
| ( order @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(323,plain,
! [SV7: $i,SV40: $i,SV60: $i] :
( ( ~ ( ~ ( member @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV40 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV60 ) )
| ~ ( member @ SV60 @ SV40 )
| ( greatest @ SV60 @ SV7 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(324,plain,
! [SV7: $i] :
( ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( greatest @ SY135 @ SV7 @ SY134 )
| ! [SY136: $i] :
( ~ ( member @ SY136 @ SY134 )
| ( apply @ SV7 @ SY136 @ SY135 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(325,plain,
! [SV7: $i] :
( ( ~ ! [SY137: $i,SY138: $i] :
( ~ ( greatest @ SY138 @ SV7 @ SY137 )
| ( member @ SY138 @ SY137 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(326,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ~ ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
| ~ ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 ) )
| ~ ( ( SV61
!= ( sK8_X @ SV61 @ SV41 @ SV8 ) ) ) )
| ~ ( member @ SV61 @ SV41 )
| ( min @ SV61 @ SV8 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(327,plain,
! [SV8: $i] :
( ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( min @ SY142 @ SV8 @ SY141 )
| ! [SY143: $i] :
( ~ ( apply @ SV8 @ SY143 @ SY142 )
| ~ ( member @ SY143 @ SY141 )
| ( SY142 = SY143 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(328,plain,
! [SV8: $i] :
( ( ~ ! [SY144: $i,SY145: $i] :
( ~ ( min @ SY145 @ SV8 @ SY144 )
| ( member @ SY145 @ SY144 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(329,plain,
! [SV9: $i,SV42: $i,SV62: $i] :
( ( ~ ( ~ ( member @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV42 )
| ~ ~ ( apply @ SV9 @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV62 ) )
| ( upper_bound @ SV62 @ SV9 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(330,plain,
! [SV43: $i,SV9: $i,SV63: $i] :
( ( ~ ( upper_bound @ SV63 @ SV9 @ SV43 )
| ! [SY230: $i] :
( ~ ( member @ SY230 @ SV43 )
| ( apply @ SV9 @ SY230 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(331,plain,
! [SV64: $i,SV44: $i,SV10: $i] :
( ( ~ ( member @ SV10 @ ( union @ SV44 @ SV64 ) )
| ( member @ SV10 @ SV44 )
| ( member @ SV10 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(332,plain,
! [SV10: $i] :
( ( ~ ! [SY153: $i] :
( ~ ( member @ SV10 @ SY153 )
| ! [SY154: $i] : ( member @ SV10 @ ( union @ SY153 @ SY154 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(333,plain,
! [SV10: $i] :
( ( ~ ! [SY155: $i,SY156: $i] :
( ~ ( member @ SV10 @ SY156 )
| ( member @ SV10 @ ( union @ SY155 @ SY156 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(334,plain,
( ( ~ ( ~ ( subset @ sK3_SY83 @ sK2_SY79 )
| ~ ( subset @ sK4_SY86 @ sK2_SY79 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(335,plain,
( ( subset @ sK3_SY83 @ sK4_SY86 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(336,plain,
( ( upper_bound @ sK5_SY88 @ sK1_R @ sK4_SY86 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(337,plain,
( ( ~ ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(338,plain,
! [SV23: $i,SV45: $i] :
( ( ( ! [SY222: $i] :
( ~ ( member @ SY222 @ SV45 )
| ~ ( member @ SV23 @ SY222 ) ) )
= $true )
| ( ( member @ SV23 @ ( sum @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(339,plain,
! [SV46: $i,SV24: $i] :
( ( ( ~ ( member @ SV24 @ ( sum @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK23_Y @ SV46 @ SV24 ) @ SV46 )
| ~ ( member @ SV24 @ ( sK23_Y @ SV46 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(340,plain,
! [SV47: $i,SV65: $i,SV11: $i] :
( ( ~ ( member @ SV11 @ SV65 )
| ( member @ SV11 @ SV47 )
| ( member @ SV11 @ ( difference @ SV65 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(341,plain,
! [SV11: $i] :
( ( ~ ! [SY159: $i,SY160: $i] :
( ~ ( member @ SV11 @ ( difference @ SY160 @ SY159 ) )
| ( member @ SV11 @ SY160 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(342,plain,
! [SV11: $i] :
( ( ~ ! [SY161: $i] :
( ! [SY162: $i] :
~ ( member @ SV11 @ ( difference @ SY162 @ SY161 ) )
| ~ ( member @ SV11 @ SY161 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(343,plain,
! [SV48: $i,SV25: $i] :
( ( ( ( SV25 != SV48 ) )
= $true )
| ( ( member @ SV25 @ ( singleton @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(344,plain,
! [SV49: $i,SV26: $i] :
( ( ( ~ ( member @ SV26 @ ( singleton @ SV49 ) ) )
= $true )
| ( ( SV26 = SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(345,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 ) )
| ~ ( ( SV66
!= ( sK9_X @ SV66 @ SV50 @ SV12 ) ) ) )
| ~ ( member @ SV66 @ SV50 )
| ( max @ SV66 @ SV12 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(346,plain,
! [SV12: $i] :
( ( ~ ! [SY165: $i,SY166: $i] :
( ~ ( max @ SY166 @ SV12 @ SY165 )
| ! [SY167: $i] :
( ~ ( apply @ SV12 @ SY166 @ SY167 )
| ~ ( member @ SY167 @ SY165 )
| ( SY166 = SY167 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(347,plain,
! [SV12: $i] :
( ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( max @ SY169 @ SV12 @ SY168 )
| ( member @ SY169 @ SY168 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(348,plain,
! [SV27: $i,SV51: $i] :
( ( ( ~ ( ~ ( member @ ( sK22_Y @ SV51 @ SV27 ) @ SV51 )
| ~ ~ ( member @ SV27 @ ( sK22_Y @ SV51 @ SV27 ) ) ) )
= $true )
| ( ( member @ SV27 @ ( product @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(349,plain,
! [SV52: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ ( product @ SV52 ) ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( member @ SY225 @ SV52 )
| ( member @ SV28 @ SY225 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(350,plain,
! [SV67: $i,SV53: $i,SV13: $i] :
( ( ~ ( member @ SV13 @ ( unordered_pair @ SV53 @ SV67 ) )
| ( SV13 = SV53 )
| ( SV13 = SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(351,plain,
! [SV13: $i] :
( ( ~ ! [SY172: $i] :
( ( SV13 != SY172 )
| ! [SY173: $i] : ( member @ SV13 @ ( unordered_pair @ SY172 @ SY173 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(352,plain,
! [SV13: $i] :
( ( ~ ! [SY174: $i,SY175: $i] :
( ( SV13 != SY175 )
| ( member @ SV13 @ ( unordered_pair @ SY174 @ SY175 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(353,plain,
! [SV2: $i,SV29: $i,SV54: $i] :
( ( ( ~ ( ~ ( member @ ( sK12_X @ SV54 @ SV29 @ SV2 ) @ SV29 )
| ~ ~ ( apply @ SV2 @ SV54 @ ( sK12_X @ SV54 @ SV29 @ SV2 ) ) ) )
= $true )
| ( ( lower_bound @ SV54 @ SV2 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(354,plain,
! [SV30: $i,SV2: $i,SV55: $i] :
( ( ( ~ ( lower_bound @ SV55 @ SV2 @ SV30 ) )
= $true )
| ( ( ! [SY227: $i] :
( ~ ( member @ SY227 @ SV30 )
| ( apply @ SV2 @ SV55 @ SY227 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(355,plain,
! [SV3: $i,SV31: $i,SV56: $i] :
( ( ( ~ ( ~ ( member @ ( sK10_X @ SV56 @ SV31 @ SV3 ) @ SV31 )
| ~ ~ ( apply @ SV3 @ SV56 @ ( sK10_X @ SV56 @ SV31 @ SV3 ) ) )
| ~ ( member @ SV56 @ SV31 ) )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(356,plain,
! [SV3: $i] :
( ( ! [SY101: $i,SY102: $i] :
( ~ ( least @ SY102 @ SV3 @ SY101 )
| ! [SY103: $i] :
( ~ ( member @ SY103 @ SY101 )
| ( apply @ SV3 @ SY102 @ SY103 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(357,plain,
! [SV3: $i] :
( ( ! [SY104: $i,SY105: $i] :
( ~ ( least @ SY105 @ SV3 @ SY104 )
| ( member @ SY105 @ SY104 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(358,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
| ~ ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(359,plain,
! [SV68: $i] :
( ( ! [SY231: $i] :
( ~ ( order @ SV68 @ SY231 )
| ! [SY232: $i,SY233: $i,SY234: $i] :
( ~ ( member @ SY232 @ SY231 )
| ~ ( member @ SY233 @ SY231 )
| ~ ( member @ SY234 @ SY231 )
| ~ ( apply @ SV68 @ SY232 @ SY233 )
| ~ ( apply @ SV68 @ SY233 @ SY234 )
| ( apply @ SV68 @ SY232 @ SY234 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(360,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(361,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
| ~ ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 ) )
| ~ ~ ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 ) )
| ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 )
| ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(362,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ! [SY178: $i,SY179: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SY178 @ SY179 )
| ! [SY180: $i] :
( ~ ( lower_bound @ SY180 @ SY178 @ SV14 )
| ~ ( member @ SY180 @ SY179 )
| ( apply @ SY178 @ SY180 @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(363,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ~ ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) )
| ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(364,plain,
! [SV17: $i,SV33: $i] :
( ( ( ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV17 )
| ~ ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV33 ) )
= $false )
| ( ( subset @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(365,plain,
! [SV34: $i,SV18: $i] :
( ( ( subset @ SV18 @ SV34 )
= $false )
| ( ( ! [SY214: $i] :
( ~ ( member @ SY214 @ SV18 )
| ( member @ SY214 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(366,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
| ~ ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) )
| ~ ~ ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) ) )
| ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 )
| ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(367,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ! [SY187: $i,SY188: $i] :
( ~ ( least_upper_bound @ SV5 @ SV15 @ SY187 @ SY188 )
| ! [SY189: $i] :
( ~ ( member @ SY189 @ SY188 )
| ~ ( upper_bound @ SY189 @ SY187 @ SV15 )
| ( apply @ SY187 @ SV5 @ SY189 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(368,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ~ ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
| ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(369,plain,
! [SV35: $i,SV19: $i] :
( ( ( ~ ( subset @ SV19 @ SV35 ) )
= $true )
| ( ( ~ ( subset @ SV35 @ SV19 ) )
= $true )
| ( ( equal_set @ SV19 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(370,plain,
! [SV71: $i] :
( ( ! [SY235: $i] :
( ~ ( equal_set @ SV71 @ SY235 )
| ( subset @ SV71 @ SY235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(371,plain,
! [SV72: $i] :
( ( ! [SY236: $i] :
( ~ ( equal_set @ SV72 @ SY236 )
| ( subset @ SY236 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(372,plain,
! [SV59: $i,SV36: $i,SV6: $i] :
( ( ( ~ ( member @ SV6 @ SV36 )
| ~ ( member @ SV6 @ SV59 ) )
= $true )
| ( ( member @ SV6 @ ( intersection @ SV36 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(373,plain,
! [SV6: $i] :
( ( ! [SY128: $i] :
( ! [SY129: $i] :
~ ( member @ SV6 @ ( intersection @ SY128 @ SY129 ) )
| ( member @ SV6 @ SY128 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(374,plain,
! [SV6: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ~ ( member @ SV6 @ ( intersection @ SY130 @ SY131 ) )
| ( member @ SV6 @ SY131 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(375,plain,
! [SV37: $i,SV20: $i] :
( ( ( member @ SV20 @ ( power_set @ SV37 ) )
= $false )
| ( ( subset @ SV20 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(376,plain,
! [SV38: $i,SV21: $i] :
( ( ( subset @ SV21 @ SV38 )
= $false )
| ( ( member @ SV21 @ ( power_set @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(377,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
| ~ ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 ) )
| ~ ~ ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
| ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) ) ) )
= $true )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(378,plain,
! [SV73: $i] :
( ( ! [SY237: $i] :
( ~ ( total_order @ SV73 @ SY237 )
| ! [SY238: $i,SY239: $i] :
( ~ ( member @ SY238 @ SY237 )
| ~ ( member @ SY239 @ SY237 )
| ( apply @ SV73 @ SY238 @ SY239 )
| ( apply @ SV73 @ SY239 @ SY238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(379,plain,
! [SV74: $i] :
( ( ! [SY240: $i] :
( ~ ( total_order @ SV74 @ SY240 )
| ( order @ SV74 @ SY240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(380,plain,
! [SV7: $i,SV40: $i,SV60: $i] :
( ( ( ~ ( ~ ( member @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV40 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV60 ) )
| ~ ( member @ SV60 @ SV40 ) )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(381,plain,
! [SV7: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ~ ( greatest @ SY135 @ SV7 @ SY134 )
| ! [SY136: $i] :
( ~ ( member @ SY136 @ SY134 )
| ( apply @ SV7 @ SY136 @ SY135 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(382,plain,
! [SV7: $i] :
( ( ! [SY137: $i,SY138: $i] :
( ~ ( greatest @ SY138 @ SV7 @ SY137 )
| ( member @ SY138 @ SY137 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(383,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
| ~ ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 ) )
| ~ ( ( SV61
!= ( sK8_X @ SV61 @ SV41 @ SV8 ) ) ) )
| ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(384,plain,
! [SV8: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ~ ( min @ SY142 @ SV8 @ SY141 )
| ! [SY143: $i] :
( ~ ( apply @ SV8 @ SY143 @ SY142 )
| ~ ( member @ SY143 @ SY141 )
| ( SY142 = SY143 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(385,plain,
! [SV8: $i] :
( ( ! [SY144: $i,SY145: $i] :
( ~ ( min @ SY145 @ SV8 @ SY144 )
| ( member @ SY145 @ SY144 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(386,plain,
! [SV9: $i,SV42: $i,SV62: $i] :
( ( ( ~ ( ~ ( member @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV42 )
| ~ ~ ( apply @ SV9 @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV62 ) ) )
= $true )
| ( ( upper_bound @ SV62 @ SV9 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(387,plain,
! [SV43: $i,SV9: $i,SV63: $i] :
( ( ( ~ ( upper_bound @ SV63 @ SV9 @ SV43 ) )
= $true )
| ( ( ! [SY230: $i] :
( ~ ( member @ SY230 @ SV43 )
| ( apply @ SV9 @ SY230 @ SV63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(388,plain,
! [SV64: $i,SV44: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ ( union @ SV44 @ SV64 ) ) )
= $true )
| ( ( ( member @ SV10 @ SV44 )
| ( member @ SV10 @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(389,plain,
! [SV10: $i] :
( ( ! [SY153: $i] :
( ~ ( member @ SV10 @ SY153 )
| ! [SY154: $i] : ( member @ SV10 @ ( union @ SY153 @ SY154 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(390,plain,
! [SV10: $i] :
( ( ! [SY155: $i,SY156: $i] :
( ~ ( member @ SV10 @ SY156 )
| ( member @ SV10 @ ( union @ SY155 @ SY156 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(391,plain,
( ( ~ ( subset @ sK3_SY83 @ sK2_SY79 )
| ~ ( subset @ sK4_SY86 @ sK2_SY79 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(392,plain,
( ( upper_bound @ sK5_SY88 @ sK1_R @ sK3_SY83 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(393,plain,
! [SV23: $i,SV45: $i,SV75: $i] :
( ( ( ~ ( member @ SV75 @ SV45 )
| ~ ( member @ SV23 @ SV75 ) )
= $true )
| ( ( member @ SV23 @ ( sum @ SV45 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(394,plain,
! [SV46: $i,SV24: $i] :
( ( ( member @ SV24 @ ( sum @ SV46 ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK23_Y @ SV46 @ SV24 ) @ SV46 )
| ~ ( member @ SV24 @ ( sK23_Y @ SV46 @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(395,plain,
! [SV47: $i,SV65: $i,SV11: $i] :
( ( ( ~ ( member @ SV11 @ SV65 )
| ( member @ SV11 @ SV47 ) )
= $true )
| ( ( member @ SV11 @ ( difference @ SV65 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(396,plain,
! [SV11: $i] :
( ( ! [SY159: $i,SY160: $i] :
( ~ ( member @ SV11 @ ( difference @ SY160 @ SY159 ) )
| ( member @ SV11 @ SY160 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(397,plain,
! [SV11: $i] :
( ( ! [SY161: $i] :
( ! [SY162: $i] :
~ ( member @ SV11 @ ( difference @ SY162 @ SY161 ) )
| ~ ( member @ SV11 @ SY161 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(398,plain,
! [SV48: $i,SV25: $i] :
( ( ( SV25 = SV48 )
= $false )
| ( ( member @ SV25 @ ( singleton @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(399,plain,
! [SV49: $i,SV26: $i] :
( ( ( member @ SV26 @ ( singleton @ SV49 ) )
= $false )
| ( ( SV26 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(400,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 ) )
| ~ ( ( SV66
!= ( sK9_X @ SV66 @ SV50 @ SV12 ) ) ) )
| ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(401,plain,
! [SV12: $i] :
( ( ! [SY165: $i,SY166: $i] :
( ~ ( max @ SY166 @ SV12 @ SY165 )
| ! [SY167: $i] :
( ~ ( apply @ SV12 @ SY166 @ SY167 )
| ~ ( member @ SY167 @ SY165 )
| ( SY166 = SY167 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(402,plain,
! [SV12: $i] :
( ( ! [SY168: $i,SY169: $i] :
( ~ ( max @ SY169 @ SV12 @ SY168 )
| ( member @ SY169 @ SY168 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(403,plain,
! [SV27: $i,SV51: $i] :
( ( ( ~ ( member @ ( sK22_Y @ SV51 @ SV27 ) @ SV51 )
| ~ ~ ( member @ SV27 @ ( sK22_Y @ SV51 @ SV27 ) ) )
= $false )
| ( ( member @ SV27 @ ( product @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(404,plain,
! [SV52: $i,SV28: $i] :
( ( ( member @ SV28 @ ( product @ SV52 ) )
= $false )
| ( ( ! [SY225: $i] :
( ~ ( member @ SY225 @ SV52 )
| ( member @ SV28 @ SY225 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(405,plain,
! [SV67: $i,SV53: $i,SV13: $i] :
( ( ( ~ ( member @ SV13 @ ( unordered_pair @ SV53 @ SV67 ) ) )
= $true )
| ( ( ( SV13 = SV53 )
| ( SV13 = SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(406,plain,
! [SV13: $i] :
( ( ! [SY172: $i] :
( ( SV13 != SY172 )
| ! [SY173: $i] : ( member @ SV13 @ ( unordered_pair @ SY172 @ SY173 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(407,plain,
! [SV13: $i] :
( ( ! [SY174: $i,SY175: $i] :
( ( SV13 != SY175 )
| ( member @ SV13 @ ( unordered_pair @ SY174 @ SY175 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(408,plain,
! [SV2: $i,SV29: $i,SV54: $i] :
( ( ( ~ ( member @ ( sK12_X @ SV54 @ SV29 @ SV2 ) @ SV29 )
| ~ ~ ( apply @ SV2 @ SV54 @ ( sK12_X @ SV54 @ SV29 @ SV2 ) ) )
= $false )
| ( ( lower_bound @ SV54 @ SV2 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(409,plain,
! [SV30: $i,SV2: $i,SV55: $i] :
( ( ( lower_bound @ SV55 @ SV2 @ SV30 )
= $false )
| ( ( ! [SY227: $i] :
( ~ ( member @ SY227 @ SV30 )
| ( apply @ SV2 @ SV55 @ SY227 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(410,plain,
! [SV3: $i,SV31: $i,SV56: $i] :
( ( ( ~ ( ~ ( member @ ( sK10_X @ SV56 @ SV31 @ SV3 ) @ SV31 )
| ~ ~ ( apply @ SV3 @ SV56 @ ( sK10_X @ SV56 @ SV31 @ SV3 ) ) ) )
= $true )
| ( ( ~ ( member @ SV56 @ SV31 ) )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(411,plain,
! [SV76: $i,SV3: $i] :
( ( ! [SY241: $i] :
( ~ ( least @ SY241 @ SV3 @ SV76 )
| ! [SY242: $i] :
( ~ ( member @ SY242 @ SV76 )
| ( apply @ SV3 @ SY241 @ SY242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(412,plain,
! [SV77: $i,SV3: $i] :
( ( ! [SY243: $i] :
( ~ ( least @ SY243 @ SV3 @ SV77 )
| ( member @ SY243 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(413,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
| ~ ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(414,plain,
! [SV78: $i,SV68: $i] :
( ( ~ ( order @ SV68 @ SV78 )
| ! [SY244: $i,SY245: $i,SY246: $i] :
( ~ ( member @ SY244 @ SV78 )
| ~ ( member @ SY245 @ SV78 )
| ~ ( member @ SY246 @ SV78 )
| ~ ( apply @ SV68 @ SY244 @ SY245 )
| ~ ( apply @ SV68 @ SY245 @ SY246 )
| ( apply @ SV68 @ SY244 @ SY246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(415,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(416,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(417,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
| ~ ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 ) )
| ~ ~ ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 ) )
| ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(418,plain,
! [SV14: $i,SV4: $i] :
( ( ! [SY178: $i,SY179: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SY178 @ SY179 )
| ! [SY180: $i] :
( ~ ( lower_bound @ SY180 @ SY178 @ SV14 )
| ~ ( member @ SY180 @ SY179 )
| ( apply @ SY178 @ SY180 @ SV4 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(419,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) )
| ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(420,plain,
! [SV17: $i,SV33: $i] :
( ( ( ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV17 ) )
= $false )
| ( ( subset @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(421,plain,
! [SV17: $i,SV33: $i] :
( ( ( ~ ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV33 ) )
= $false )
| ( ( subset @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(422,plain,
! [SV34: $i,SV18: $i,SV79: $i] :
( ( ( ~ ( member @ SV79 @ SV18 )
| ( member @ SV79 @ SV34 ) )
= $true )
| ( ( subset @ SV18 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(423,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
| ~ ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) )
| ~ ~ ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) ) )
| ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(424,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY187: $i,SY188: $i] :
( ~ ( least_upper_bound @ SV5 @ SV15 @ SY187 @ SY188 )
| ! [SY189: $i] :
( ~ ( member @ SY189 @ SY188 )
| ~ ( upper_bound @ SY189 @ SY187 @ SV15 )
| ( apply @ SY187 @ SV5 @ SY189 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(425,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
| ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(426,plain,
! [SV35: $i,SV19: $i] :
( ( ( subset @ SV19 @ SV35 )
= $false )
| ( ( ~ ( subset @ SV35 @ SV19 ) )
= $true )
| ( ( equal_set @ SV19 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(427,plain,
! [SV80: $i,SV71: $i] :
( ( ~ ( equal_set @ SV71 @ SV80 )
| ( subset @ SV71 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(428,plain,
! [SV81: $i,SV72: $i] :
( ( ~ ( equal_set @ SV72 @ SV81 )
| ( subset @ SV81 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(429,plain,
! [SV59: $i,SV36: $i,SV6: $i] :
( ( ( ~ ( member @ SV6 @ SV36 ) )
= $true )
| ( ( ~ ( member @ SV6 @ SV59 ) )
= $true )
| ( ( member @ SV6 @ ( intersection @ SV36 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(430,plain,
! [SV82: $i,SV6: $i] :
( ( ! [SY247: $i] :
~ ( member @ SV6 @ ( intersection @ SV82 @ SY247 ) )
| ( member @ SV6 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(431,plain,
! [SV83: $i,SV6: $i] :
( ( ! [SY248: $i] :
( ~ ( member @ SV6 @ ( intersection @ SV83 @ SY248 ) )
| ( member @ SV6 @ SY248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(432,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
| ~ ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 ) )
| ~ ~ ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
| ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(433,plain,
! [SV84: $i,SV73: $i] :
( ( ~ ( total_order @ SV73 @ SV84 )
| ! [SY249: $i,SY250: $i] :
( ~ ( member @ SY249 @ SV84 )
| ~ ( member @ SY250 @ SV84 )
| ( apply @ SV73 @ SY249 @ SY250 )
| ( apply @ SV73 @ SY250 @ SY249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(434,plain,
! [SV85: $i,SV74: $i] :
( ( ~ ( total_order @ SV74 @ SV85 )
| ( order @ SV74 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(435,plain,
! [SV7: $i,SV40: $i,SV60: $i] :
( ( ( ~ ( ~ ( member @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV40 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV60 ) ) )
= $true )
| ( ( ~ ( member @ SV60 @ SV40 ) )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(436,plain,
! [SV86: $i,SV7: $i] :
( ( ! [SY251: $i] :
( ~ ( greatest @ SY251 @ SV7 @ SV86 )
| ! [SY252: $i] :
( ~ ( member @ SY252 @ SV86 )
| ( apply @ SV7 @ SY252 @ SY251 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(437,plain,
! [SV87: $i,SV7: $i] :
( ( ! [SY253: $i] :
( ~ ( greatest @ SY253 @ SV7 @ SV87 )
| ( member @ SY253 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(438,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
| ~ ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 ) )
| ~ ( ( SV61
!= ( sK8_X @ SV61 @ SV41 @ SV8 ) ) ) ) )
= $true )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(439,plain,
! [SV88: $i,SV8: $i] :
( ( ! [SY254: $i] :
( ~ ( min @ SY254 @ SV8 @ SV88 )
| ! [SY255: $i] :
( ~ ( apply @ SV8 @ SY255 @ SY254 )
| ~ ( member @ SY255 @ SV88 )
| ( SY254 = SY255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(440,plain,
! [SV89: $i,SV8: $i] :
( ( ! [SY256: $i] :
( ~ ( min @ SY256 @ SV8 @ SV89 )
| ( member @ SY256 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(441,plain,
! [SV9: $i,SV42: $i,SV62: $i] :
( ( ( ~ ( member @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV42 )
| ~ ~ ( apply @ SV9 @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV62 ) )
= $false )
| ( ( upper_bound @ SV62 @ SV9 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(442,plain,
! [SV43: $i,SV9: $i,SV63: $i] :
( ( ( upper_bound @ SV63 @ SV9 @ SV43 )
= $false )
| ( ( ! [SY230: $i] :
( ~ ( member @ SY230 @ SV43 )
| ( apply @ SV9 @ SY230 @ SV63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(443,plain,
! [SV64: $i,SV44: $i,SV10: $i] :
( ( ( member @ SV10 @ ( union @ SV44 @ SV64 ) )
= $false )
| ( ( ( member @ SV10 @ SV44 )
| ( member @ SV10 @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(444,plain,
! [SV90: $i,SV10: $i] :
( ( ~ ( member @ SV10 @ SV90 )
| ! [SY257: $i] : ( member @ SV10 @ ( union @ SV90 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(445,plain,
! [SV91: $i,SV10: $i] :
( ( ! [SY258: $i] :
( ~ ( member @ SV10 @ SY258 )
| ( member @ SV10 @ ( union @ SV91 @ SY258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(446,plain,
( ( ~ ( subset @ sK3_SY83 @ sK2_SY79 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(447,plain,
( ( ~ ( subset @ sK4_SY86 @ sK2_SY79 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(448,plain,
! [SV23: $i,SV45: $i,SV75: $i] :
( ( ( ~ ( member @ SV75 @ SV45 ) )
= $true )
| ( ( ~ ( member @ SV23 @ SV75 ) )
= $true )
| ( ( member @ SV23 @ ( sum @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(449,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( member @ ( sK23_Y @ SV46 @ SV24 ) @ SV46 )
| ~ ( member @ SV24 @ ( sK23_Y @ SV46 @ SV24 ) ) )
= $false )
| ( ( member @ SV24 @ ( sum @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(450,plain,
! [SV47: $i,SV65: $i,SV11: $i] :
( ( ( ~ ( member @ SV11 @ SV65 ) )
= $true )
| ( ( member @ SV11 @ SV47 )
= $true )
| ( ( member @ SV11 @ ( difference @ SV65 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(451,plain,
! [SV92: $i,SV11: $i] :
( ( ! [SY259: $i] :
( ~ ( member @ SV11 @ ( difference @ SY259 @ SV92 ) )
| ( member @ SV11 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(452,plain,
! [SV93: $i,SV11: $i] :
( ( ! [SY260: $i] :
~ ( member @ SV11 @ ( difference @ SY260 @ SV93 ) )
| ~ ( member @ SV11 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(453,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 ) )
| ~ ( ( SV66
!= ( sK9_X @ SV66 @ SV50 @ SV12 ) ) ) ) )
= $true )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(454,plain,
! [SV94: $i,SV12: $i] :
( ( ! [SY261: $i] :
( ~ ( max @ SY261 @ SV12 @ SV94 )
| ! [SY262: $i] :
( ~ ( apply @ SV12 @ SY261 @ SY262 )
| ~ ( member @ SY262 @ SV94 )
| ( SY261 = SY262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(455,plain,
! [SV95: $i,SV12: $i] :
( ( ! [SY263: $i] :
( ~ ( max @ SY263 @ SV12 @ SV95 )
| ( member @ SY263 @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(456,plain,
! [SV27: $i,SV51: $i] :
( ( ( ~ ( member @ ( sK22_Y @ SV51 @ SV27 ) @ SV51 ) )
= $false )
| ( ( member @ SV27 @ ( product @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(457,plain,
! [SV51: $i,SV27: $i] :
( ( ( ~ ~ ( member @ SV27 @ ( sK22_Y @ SV51 @ SV27 ) ) )
= $false )
| ( ( member @ SV27 @ ( product @ SV51 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(458,plain,
! [SV28: $i,SV52: $i,SV96: $i] :
( ( ( ~ ( member @ SV96 @ SV52 )
| ( member @ SV28 @ SV96 ) )
= $true )
| ( ( member @ SV28 @ ( product @ SV52 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(459,plain,
! [SV67: $i,SV53: $i,SV13: $i] :
( ( ( member @ SV13 @ ( unordered_pair @ SV53 @ SV67 ) )
= $false )
| ( ( ( SV13 = SV53 )
| ( SV13 = SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(460,plain,
! [SV97: $i,SV13: $i] :
( ( ( SV13 != SV97 )
| ! [SY264: $i] : ( member @ SV13 @ ( unordered_pair @ SV97 @ SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(461,plain,
! [SV98: $i,SV13: $i] :
( ( ! [SY265: $i] :
( ( SV13 != SY265 )
| ( member @ SV13 @ ( unordered_pair @ SV98 @ SY265 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(462,plain,
! [SV2: $i,SV29: $i,SV54: $i] :
( ( ( ~ ( member @ ( sK12_X @ SV54 @ SV29 @ SV2 ) @ SV29 ) )
= $false )
| ( ( lower_bound @ SV54 @ SV2 @ SV29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(463,plain,
! [SV29: $i,SV54: $i,SV2: $i] :
( ( ( ~ ~ ( apply @ SV2 @ SV54 @ ( sK12_X @ SV54 @ SV29 @ SV2 ) ) )
= $false )
| ( ( lower_bound @ SV54 @ SV2 @ SV29 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(464,plain,
! [SV55: $i,SV2: $i,SV30: $i,SV99: $i] :
( ( ( ~ ( member @ SV99 @ SV30 )
| ( apply @ SV2 @ SV55 @ SV99 ) )
= $true )
| ( ( lower_bound @ SV55 @ SV2 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(465,plain,
! [SV3: $i,SV31: $i,SV56: $i] :
( ( ( ~ ( member @ ( sK10_X @ SV56 @ SV31 @ SV3 ) @ SV31 )
| ~ ~ ( apply @ SV3 @ SV56 @ ( sK10_X @ SV56 @ SV31 @ SV3 ) ) )
= $false )
| ( ( ~ ( member @ SV56 @ SV31 ) )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(466,plain,
! [SV76: $i,SV3: $i,SV100: $i] :
( ( ~ ( least @ SV100 @ SV3 @ SV76 )
| ! [SY266: $i] :
( ~ ( member @ SY266 @ SV76 )
| ( apply @ SV3 @ SV100 @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(467,plain,
! [SV77: $i,SV3: $i,SV101: $i] :
( ( ~ ( least @ SV101 @ SV3 @ SV77 )
| ( member @ SV101 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(468,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(469,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
| ~ ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(470,plain,
! [SV78: $i,SV68: $i] :
( ( ( ~ ( order @ SV68 @ SV78 ) )
= $true )
| ( ( ! [SY244: $i,SY245: $i,SY246: $i] :
( ~ ( member @ SY244 @ SV78 )
| ~ ( member @ SY245 @ SV78 )
| ~ ( member @ SY246 @ SV78 )
| ~ ( apply @ SV68 @ SY244 @ SY245 )
| ~ ( apply @ SV68 @ SY245 @ SY246 )
| ( apply @ SV68 @ SY244 @ SY246 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(471,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(472,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(473,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( ~ ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
| ~ ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 ) )
| ~ ~ ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 ) ) )
= $true )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(474,plain,
! [SV102: $i,SV14: $i,SV4: $i] :
( ( ! [SY267: $i] :
( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SY267 )
| ! [SY268: $i] :
( ~ ( lower_bound @ SY268 @ SV102 @ SV14 )
| ~ ( member @ SY268 @ SY267 )
| ( apply @ SV102 @ SY268 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(475,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) )
| ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(476,plain,
! [SV17: $i,SV33: $i] :
( ( ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV17 )
= $true )
| ( ( subset @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(477,plain,
! [SV17: $i,SV33: $i] :
( ( ( ~ ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV33 ) )
= $true )
| ( ( subset @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(478,plain,
! [SV34: $i,SV18: $i,SV79: $i] :
( ( ( ~ ( member @ SV79 @ SV18 ) )
= $true )
| ( ( member @ SV79 @ SV34 )
= $true )
| ( ( subset @ SV18 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(479,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
| ~ ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) )
| ~ ~ ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) ) ) )
= $true )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(480,plain,
! [SV103: $i,SV15: $i,SV5: $i] :
( ( ! [SY269: $i] :
( ~ ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SY269 )
| ! [SY270: $i] :
( ~ ( member @ SY270 @ SY269 )
| ~ ( upper_bound @ SY270 @ SV103 @ SV15 )
| ( apply @ SV103 @ SV5 @ SY270 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(481,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
| ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(482,plain,
! [SV19: $i,SV35: $i] :
( ( ( subset @ SV35 @ SV19 )
= $false )
| ( ( subset @ SV19 @ SV35 )
= $false )
| ( ( equal_set @ SV19 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(483,plain,
! [SV80: $i,SV71: $i] :
( ( ( ~ ( equal_set @ SV71 @ SV80 ) )
= $true )
| ( ( subset @ SV71 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(484,plain,
! [SV81: $i,SV72: $i] :
( ( ( ~ ( equal_set @ SV72 @ SV81 ) )
= $true )
| ( ( subset @ SV81 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(485,plain,
! [SV59: $i,SV36: $i,SV6: $i] :
( ( ( member @ SV6 @ SV36 )
= $false )
| ( ( ~ ( member @ SV6 @ SV59 ) )
= $true )
| ( ( member @ SV6 @ ( intersection @ SV36 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(486,plain,
! [SV82: $i,SV6: $i] :
( ( ( ! [SY247: $i] :
~ ( member @ SV6 @ ( intersection @ SV82 @ SY247 ) ) )
= $true )
| ( ( member @ SV6 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(487,plain,
! [SV104: $i,SV83: $i,SV6: $i] :
( ( ~ ( member @ SV6 @ ( intersection @ SV83 @ SV104 ) )
| ( member @ SV6 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(488,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
| ~ ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 ) ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(489,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
| ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(490,plain,
! [SV84: $i,SV73: $i] :
( ( ( ~ ( total_order @ SV73 @ SV84 ) )
= $true )
| ( ( ! [SY249: $i,SY250: $i] :
( ~ ( member @ SY249 @ SV84 )
| ~ ( member @ SY250 @ SV84 )
| ( apply @ SV73 @ SY249 @ SY250 )
| ( apply @ SV73 @ SY250 @ SY249 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(491,plain,
! [SV85: $i,SV74: $i] :
( ( ( ~ ( total_order @ SV74 @ SV85 ) )
= $true )
| ( ( order @ SV74 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(492,plain,
! [SV7: $i,SV40: $i,SV60: $i] :
( ( ( ~ ( member @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV40 )
| ~ ~ ( apply @ SV7 @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV60 ) )
= $false )
| ( ( ~ ( member @ SV60 @ SV40 ) )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(493,plain,
! [SV86: $i,SV7: $i,SV105: $i] :
( ( ~ ( greatest @ SV105 @ SV7 @ SV86 )
| ! [SY271: $i] :
( ~ ( member @ SY271 @ SV86 )
| ( apply @ SV7 @ SY271 @ SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(494,plain,
! [SV87: $i,SV7: $i,SV106: $i] :
( ( ~ ( greatest @ SV106 @ SV7 @ SV87 )
| ( member @ SV106 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(495,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
| ~ ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 ) )
| ~ ( ( SV61
!= ( sK8_X @ SV61 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(496,plain,
! [SV88: $i,SV8: $i,SV107: $i] :
( ( ~ ( min @ SV107 @ SV8 @ SV88 )
| ! [SY272: $i] :
( ~ ( apply @ SV8 @ SY272 @ SV107 )
| ~ ( member @ SY272 @ SV88 )
| ( SV107 = SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(497,plain,
! [SV89: $i,SV8: $i,SV108: $i] :
( ( ~ ( min @ SV108 @ SV8 @ SV89 )
| ( member @ SV108 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(498,plain,
! [SV9: $i,SV42: $i,SV62: $i] :
( ( ( ~ ( member @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV42 ) )
= $false )
| ( ( upper_bound @ SV62 @ SV9 @ SV42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(499,plain,
! [SV42: $i,SV62: $i,SV9: $i] :
( ( ( ~ ~ ( apply @ SV9 @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV62 ) )
= $false )
| ( ( upper_bound @ SV62 @ SV9 @ SV42 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(500,plain,
! [SV63: $i,SV9: $i,SV43: $i,SV109: $i] :
( ( ( ~ ( member @ SV109 @ SV43 )
| ( apply @ SV9 @ SV109 @ SV63 ) )
= $true )
| ( ( upper_bound @ SV63 @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(501,plain,
! [SV64: $i,SV44: $i,SV10: $i] :
( ( ( member @ SV10 @ SV44 )
= $true )
| ( ( member @ SV10 @ SV64 )
= $true )
| ( ( member @ SV10 @ ( union @ SV44 @ SV64 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(502,plain,
! [SV90: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV90 ) )
= $true )
| ( ( ! [SY257: $i] : ( member @ SV10 @ ( union @ SV90 @ SY257 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(503,plain,
! [SV91: $i,SV110: $i,SV10: $i] :
( ( ~ ( member @ SV10 @ SV110 )
| ( member @ SV10 @ ( union @ SV91 @ SV110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(504,plain,
( ( subset @ sK3_SY83 @ sK2_SY79 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(505,plain,
( ( subset @ sK4_SY86 @ sK2_SY79 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(506,plain,
! [SV23: $i,SV45: $i,SV75: $i] :
( ( ( member @ SV75 @ SV45 )
= $false )
| ( ( ~ ( member @ SV23 @ SV75 ) )
= $true )
| ( ( member @ SV23 @ ( sum @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(507,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( member @ ( sK23_Y @ SV46 @ SV24 ) @ SV46 ) )
= $false )
| ( ( member @ SV24 @ ( sum @ SV46 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(508,plain,
! [SV46: $i,SV24: $i] :
( ( ( ~ ( member @ SV24 @ ( sK23_Y @ SV46 @ SV24 ) ) )
= $false )
| ( ( member @ SV24 @ ( sum @ SV46 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(509,plain,
! [SV47: $i,SV65: $i,SV11: $i] :
( ( ( member @ SV11 @ SV65 )
= $false )
| ( ( member @ SV11 @ SV47 )
= $true )
| ( ( member @ SV11 @ ( difference @ SV65 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(510,plain,
! [SV92: $i,SV111: $i,SV11: $i] :
( ( ~ ( member @ SV11 @ ( difference @ SV111 @ SV92 ) )
| ( member @ SV11 @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(511,plain,
! [SV93: $i,SV11: $i] :
( ( ( ! [SY260: $i] :
~ ( member @ SV11 @ ( difference @ SY260 @ SV93 ) ) )
= $true )
| ( ( ~ ( member @ SV11 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(512,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 ) )
| ~ ( ( SV66
!= ( sK9_X @ SV66 @ SV50 @ SV12 ) ) ) )
= $false )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(513,plain,
! [SV94: $i,SV12: $i,SV112: $i] :
( ( ~ ( max @ SV112 @ SV12 @ SV94 )
| ! [SY273: $i] :
( ~ ( apply @ SV12 @ SV112 @ SY273 )
| ~ ( member @ SY273 @ SV94 )
| ( SV112 = SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(514,plain,
! [SV95: $i,SV12: $i,SV113: $i] :
( ( ~ ( max @ SV113 @ SV12 @ SV95 )
| ( member @ SV113 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(515,plain,
! [SV27: $i,SV51: $i] :
( ( ( member @ ( sK22_Y @ SV51 @ SV27 ) @ SV51 )
= $true )
| ( ( member @ SV27 @ ( product @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(516,plain,
! [SV51: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ ( sK22_Y @ SV51 @ SV27 ) ) )
= $true )
| ( ( member @ SV27 @ ( product @ SV51 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(517,plain,
! [SV28: $i,SV52: $i,SV96: $i] :
( ( ( ~ ( member @ SV96 @ SV52 ) )
= $true )
| ( ( member @ SV28 @ SV96 )
= $true )
| ( ( member @ SV28 @ ( product @ SV52 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(518,plain,
! [SV67: $i,SV53: $i,SV13: $i] :
( ( ( SV13 = SV53 )
= $true )
| ( ( SV13 = SV67 )
= $true )
| ( ( member @ SV13 @ ( unordered_pair @ SV53 @ SV67 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(519,plain,
! [SV97: $i,SV13: $i] :
( ( ( ( SV13 != SV97 ) )
= $true )
| ( ( ! [SY264: $i] : ( member @ SV13 @ ( unordered_pair @ SV97 @ SY264 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(520,plain,
! [SV98: $i,SV114: $i,SV13: $i] :
( ( ( SV13 != SV114 )
| ( member @ SV13 @ ( unordered_pair @ SV98 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(521,plain,
! [SV2: $i,SV29: $i,SV54: $i] :
( ( ( member @ ( sK12_X @ SV54 @ SV29 @ SV2 ) @ SV29 )
= $true )
| ( ( lower_bound @ SV54 @ SV2 @ SV29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(522,plain,
! [SV29: $i,SV54: $i,SV2: $i] :
( ( ( ~ ( apply @ SV2 @ SV54 @ ( sK12_X @ SV54 @ SV29 @ SV2 ) ) )
= $true )
| ( ( lower_bound @ SV54 @ SV2 @ SV29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(523,plain,
! [SV55: $i,SV2: $i,SV30: $i,SV99: $i] :
( ( ( ~ ( member @ SV99 @ SV30 ) )
= $true )
| ( ( apply @ SV2 @ SV55 @ SV99 )
= $true )
| ( ( lower_bound @ SV55 @ SV2 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(524,plain,
! [SV3: $i,SV31: $i,SV56: $i] :
( ( ( ~ ( member @ ( sK10_X @ SV56 @ SV31 @ SV3 ) @ SV31 ) )
= $false )
| ( ( ~ ( member @ SV56 @ SV31 ) )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(525,plain,
! [SV31: $i,SV56: $i,SV3: $i] :
( ( ( ~ ~ ( apply @ SV3 @ SV56 @ ( sK10_X @ SV56 @ SV31 @ SV3 ) ) )
= $false )
| ( ( ~ ( member @ SV56 @ SV31 ) )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(526,plain,
! [SV76: $i,SV3: $i,SV100: $i] :
( ( ( ~ ( least @ SV100 @ SV3 @ SV76 ) )
= $true )
| ( ( ! [SY266: $i] :
( ~ ( member @ SY266 @ SV76 )
| ( apply @ SV3 @ SV100 @ SY266 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(527,plain,
! [SV77: $i,SV3: $i,SV101: $i] :
( ( ( ~ ( least @ SV101 @ SV3 @ SV77 ) )
= $true )
| ( ( member @ SV101 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(528,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(529,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
| ~ ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(530,plain,
! [SV78: $i,SV68: $i] :
( ( ( order @ SV68 @ SV78 )
= $false )
| ( ( ! [SY244: $i,SY245: $i,SY246: $i] :
( ~ ( member @ SY244 @ SV78 )
| ~ ( member @ SY245 @ SV78 )
| ~ ( member @ SY246 @ SV78 )
| ~ ( apply @ SV68 @ SY244 @ SY245 )
| ~ ( apply @ SV68 @ SY245 @ SY246 )
| ( apply @ SV68 @ SY244 @ SY246 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(531,plain,
! [SV115: $i] :
( ( ! [SY274: $i] :
( ~ ( order @ SV115 @ SY274 )
| ! [SY275: $i] :
( ~ ( member @ SY275 @ SY274 )
| ( apply @ SV115 @ SY275 @ SY275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(532,plain,
! [SV116: $i] :
( ( ! [SY276: $i] :
( ~ ( order @ SV116 @ SY276 )
| ! [SY277: $i,SY278: $i] :
( ~ ( member @ SY277 @ SY276 )
| ~ ( member @ SY278 @ SY276 )
| ~ ( apply @ SV116 @ SY277 @ SY278 )
| ~ ( apply @ SV116 @ SY278 @ SY277 )
| ( SY277 = SY278 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(533,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
| ~ ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 ) )
| ~ ~ ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 ) )
= $false )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(534,plain,
! [SV117: $i,SV102: $i,SV14: $i,SV4: $i] :
( ( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SV117 )
| ! [SY279: $i] :
( ~ ( lower_bound @ SY279 @ SV102 @ SV14 )
| ~ ( member @ SY279 @ SV117 )
| ( apply @ SV102 @ SY279 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(535,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(536,plain,
! [SV14: $i,SV4: $i] :
( ( ~ ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[475]) ).
thf(537,plain,
! [SV17: $i,SV33: $i] :
( ( ( member @ ( sK24_X @ SV33 @ SV17 ) @ SV33 )
= $false )
| ( ( subset @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(538,plain,
! [SV34: $i,SV18: $i,SV79: $i] :
( ( ( member @ SV79 @ SV18 )
= $false )
| ( ( member @ SV79 @ SV34 )
= $true )
| ( ( subset @ SV18 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(539,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
| ~ ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) )
| ~ ~ ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) ) )
= $false )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(540,plain,
! [SV118: $i,SV103: $i,SV15: $i,SV5: $i] :
( ( ~ ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SV118 )
| ! [SY280: $i] :
( ~ ( member @ SY280 @ SV118 )
| ~ ( upper_bound @ SY280 @ SV103 @ SV15 )
| ( apply @ SV103 @ SV5 @ SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(541,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(542,plain,
! [SV15: $i,SV5: $i] :
( ( ~ ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(543,plain,
! [SV80: $i,SV71: $i] :
( ( ( equal_set @ SV71 @ SV80 )
= $false )
| ( ( subset @ SV71 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(544,plain,
! [SV81: $i,SV72: $i] :
( ( ( equal_set @ SV72 @ SV81 )
= $false )
| ( ( subset @ SV81 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(545,plain,
! [SV36: $i,SV59: $i,SV6: $i] :
( ( ( member @ SV6 @ SV59 )
= $false )
| ( ( member @ SV6 @ SV36 )
= $false )
| ( ( member @ SV6 @ ( intersection @ SV36 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(546,plain,
! [SV119: $i,SV82: $i,SV6: $i] :
( ( ( ~ ( member @ SV6 @ ( intersection @ SV82 @ SV119 ) ) )
= $true )
| ( ( member @ SV6 @ SV82 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(547,plain,
! [SV104: $i,SV83: $i,SV6: $i] :
( ( ( ~ ( member @ SV6 @ ( intersection @ SV83 @ SV104 ) ) )
= $true )
| ( ( member @ SV6 @ SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(548,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ( ~ ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
| ~ ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 ) ) )
= $true )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(549,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
| ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) ) )
= $true )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(550,plain,
! [SV84: $i,SV73: $i] :
( ( ( total_order @ SV73 @ SV84 )
= $false )
| ( ( ! [SY249: $i,SY250: $i] :
( ~ ( member @ SY249 @ SV84 )
| ~ ( member @ SY250 @ SV84 )
| ( apply @ SV73 @ SY249 @ SY250 )
| ( apply @ SV73 @ SY250 @ SY249 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(551,plain,
! [SV85: $i,SV74: $i] :
( ( ( total_order @ SV74 @ SV85 )
= $false )
| ( ( order @ SV74 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(552,plain,
! [SV7: $i,SV40: $i,SV60: $i] :
( ( ( ~ ( member @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV40 ) )
= $false )
| ( ( ~ ( member @ SV60 @ SV40 ) )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(553,plain,
! [SV40: $i,SV60: $i,SV7: $i] :
( ( ( ~ ~ ( apply @ SV7 @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV60 ) )
= $false )
| ( ( ~ ( member @ SV60 @ SV40 ) )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(554,plain,
! [SV86: $i,SV7: $i,SV105: $i] :
( ( ( ~ ( greatest @ SV105 @ SV7 @ SV86 ) )
= $true )
| ( ( ! [SY271: $i] :
( ~ ( member @ SY271 @ SV86 )
| ( apply @ SV7 @ SY271 @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(555,plain,
! [SV87: $i,SV7: $i,SV106: $i] :
( ( ( ~ ( greatest @ SV106 @ SV7 @ SV87 ) )
= $true )
| ( ( member @ SV106 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(556,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
| ~ ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 ) ) )
= $false )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(557,plain,
! [SV8: $i,SV41: $i,SV61: $i] :
( ( ( ~ ( ( SV61
!= ( sK8_X @ SV61 @ SV41 @ SV8 ) ) ) )
= $false )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(558,plain,
! [SV88: $i,SV8: $i,SV107: $i] :
( ( ( ~ ( min @ SV107 @ SV8 @ SV88 ) )
= $true )
| ( ( ! [SY272: $i] :
( ~ ( apply @ SV8 @ SY272 @ SV107 )
| ~ ( member @ SY272 @ SV88 )
| ( SV107 = SY272 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(559,plain,
! [SV89: $i,SV8: $i,SV108: $i] :
( ( ( ~ ( min @ SV108 @ SV8 @ SV89 ) )
= $true )
| ( ( member @ SV108 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(560,plain,
! [SV9: $i,SV42: $i,SV62: $i] :
( ( ( member @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV42 )
= $true )
| ( ( upper_bound @ SV62 @ SV9 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(561,plain,
! [SV42: $i,SV62: $i,SV9: $i] :
( ( ( ~ ( apply @ SV9 @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV62 ) )
= $true )
| ( ( upper_bound @ SV62 @ SV9 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(562,plain,
! [SV63: $i,SV9: $i,SV43: $i,SV109: $i] :
( ( ( ~ ( member @ SV109 @ SV43 ) )
= $true )
| ( ( apply @ SV9 @ SV109 @ SV63 )
= $true )
| ( ( upper_bound @ SV63 @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(563,plain,
! [SV90: $i,SV10: $i] :
( ( ( member @ SV10 @ SV90 )
= $false )
| ( ( ! [SY257: $i] : ( member @ SV10 @ ( union @ SV90 @ SY257 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(564,plain,
! [SV91: $i,SV110: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV110 ) )
= $true )
| ( ( member @ SV10 @ ( union @ SV91 @ SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(565,plain,
! [SV45: $i,SV75: $i,SV23: $i] :
( ( ( member @ SV23 @ SV75 )
= $false )
| ( ( member @ SV75 @ SV45 )
= $false )
| ( ( member @ SV23 @ ( sum @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(566,plain,
! [SV24: $i,SV46: $i] :
( ( ( member @ ( sK23_Y @ SV46 @ SV24 ) @ SV46 )
= $true )
| ( ( member @ SV24 @ ( sum @ SV46 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(567,plain,
! [SV46: $i,SV24: $i] :
( ( ( member @ SV24 @ ( sK23_Y @ SV46 @ SV24 ) )
= $true )
| ( ( member @ SV24 @ ( sum @ SV46 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(568,plain,
! [SV92: $i,SV111: $i,SV11: $i] :
( ( ( ~ ( member @ SV11 @ ( difference @ SV111 @ SV92 ) ) )
= $true )
| ( ( member @ SV11 @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(569,plain,
! [SV93: $i,SV120: $i,SV11: $i] :
( ( ( ~ ( member @ SV11 @ ( difference @ SV120 @ SV93 ) ) )
= $true )
| ( ( ~ ( member @ SV11 @ SV93 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(570,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 ) ) )
= $false )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(571,plain,
! [SV12: $i,SV50: $i,SV66: $i] :
( ( ( ~ ( ( SV66
!= ( sK9_X @ SV66 @ SV50 @ SV12 ) ) ) )
= $false )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(572,plain,
! [SV94: $i,SV12: $i,SV112: $i] :
( ( ( ~ ( max @ SV112 @ SV12 @ SV94 ) )
= $true )
| ( ( ! [SY273: $i] :
( ~ ( apply @ SV12 @ SV112 @ SY273 )
| ~ ( member @ SY273 @ SV94 )
| ( SV112 = SY273 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(573,plain,
! [SV95: $i,SV12: $i,SV113: $i] :
( ( ( ~ ( max @ SV113 @ SV12 @ SV95 ) )
= $true )
| ( ( member @ SV113 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(574,plain,
! [SV51: $i,SV27: $i] :
( ( ( member @ SV27 @ ( sK22_Y @ SV51 @ SV27 ) )
= $false )
| ( ( member @ SV27 @ ( product @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(575,plain,
! [SV28: $i,SV52: $i,SV96: $i] :
( ( ( member @ SV96 @ SV52 )
= $false )
| ( ( member @ SV28 @ SV96 )
= $true )
| ( ( member @ SV28 @ ( product @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(576,plain,
! [SV97: $i,SV13: $i] :
( ( ( SV13 = SV97 )
= $false )
| ( ( ! [SY264: $i] : ( member @ SV13 @ ( unordered_pair @ SV97 @ SY264 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(577,plain,
! [SV98: $i,SV114: $i,SV13: $i] :
( ( ( ( SV13 != SV114 ) )
= $true )
| ( ( member @ SV13 @ ( unordered_pair @ SV98 @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(578,plain,
! [SV29: $i,SV54: $i,SV2: $i] :
( ( ( apply @ SV2 @ SV54 @ ( sK12_X @ SV54 @ SV29 @ SV2 ) )
= $false )
| ( ( lower_bound @ SV54 @ SV2 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(579,plain,
! [SV55: $i,SV2: $i,SV30: $i,SV99: $i] :
( ( ( member @ SV99 @ SV30 )
= $false )
| ( ( apply @ SV2 @ SV55 @ SV99 )
= $true )
| ( ( lower_bound @ SV55 @ SV2 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(580,plain,
! [SV3: $i,SV31: $i,SV56: $i] :
( ( ( member @ ( sK10_X @ SV56 @ SV31 @ SV3 ) @ SV31 )
= $true )
| ( ( ~ ( member @ SV56 @ SV31 ) )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(581,plain,
! [SV31: $i,SV56: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ SV56 @ ( sK10_X @ SV56 @ SV31 @ SV3 ) ) )
= $true )
| ( ( ~ ( member @ SV56 @ SV31 ) )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(582,plain,
! [SV76: $i,SV3: $i,SV100: $i] :
( ( ( least @ SV100 @ SV3 @ SV76 )
= $false )
| ( ( ! [SY266: $i] :
( ~ ( member @ SY266 @ SV76 )
| ( apply @ SV3 @ SV100 @ SY266 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(583,plain,
! [SV77: $i,SV3: $i,SV101: $i] :
( ( ( least @ SV101 @ SV3 @ SV77 )
= $false )
| ( ( member @ SV101 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(584,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(585,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
| ~ ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(586,plain,
! [SV68: $i,SV78: $i,SV121: $i] :
( ( ( ! [SY281: $i,SY282: $i] :
( ~ ( member @ SV121 @ SV78 )
| ~ ( member @ SY281 @ SV78 )
| ~ ( member @ SY282 @ SV78 )
| ~ ( apply @ SV68 @ SV121 @ SY281 )
| ~ ( apply @ SV68 @ SY281 @ SY282 )
| ( apply @ SV68 @ SV121 @ SY282 ) ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(587,plain,
! [SV122: $i,SV115: $i] :
( ( ~ ( order @ SV115 @ SV122 )
| ! [SY283: $i] :
( ~ ( member @ SY283 @ SV122 )
| ( apply @ SV115 @ SY283 @ SY283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(588,plain,
! [SV123: $i,SV116: $i] :
( ( ~ ( order @ SV116 @ SV123 )
| ! [SY284: $i,SY285: $i] :
( ~ ( member @ SY284 @ SV123 )
| ~ ( member @ SY285 @ SV123 )
| ~ ( apply @ SV116 @ SY284 @ SY285 )
| ~ ( apply @ SV116 @ SY285 @ SY284 )
| ( SY284 = SY285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(589,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
| ~ ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 ) ) )
= $false )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(590,plain,
! [SV4: $i,SV14: $i,SV69: $i,SV57: $i] :
( ( ( ~ ~ ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 ) )
= $false )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(591,plain,
! [SV117: $i,SV102: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SV117 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( lower_bound @ SY279 @ SV102 @ SV14 )
| ~ ( member @ SY279 @ SV117 )
| ( apply @ SV102 @ SY279 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(592,plain,
! [SV14: $i,SV4: $i] :
( ( ! [SY181: $i] :
( ! [SY182: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY181 @ SY182 )
| ( lower_bound @ SV4 @ SY181 @ SV14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(593,plain,
! [SV14: $i,SV4: $i] :
( ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 )
| ( member @ SV4 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(594,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
| ~ ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) ) )
= $false )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(595,plain,
! [SV15: $i,SV70: $i,SV5: $i,SV58: $i] :
( ( ( ~ ~ ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) ) )
= $false )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(596,plain,
! [SV118: $i,SV103: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SV118 ) )
= $true )
| ( ( ! [SY280: $i] :
( ~ ( member @ SY280 @ SV118 )
| ~ ( upper_bound @ SY280 @ SV103 @ SV15 )
| ( apply @ SV103 @ SV5 @ SY280 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(597,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 )
| ( member @ SV5 @ SV15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(598,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY192: $i] :
( ! [SY193: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY192 @ SY193 )
| ( upper_bound @ SV5 @ SY192 @ SV15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(599,plain,
! [SV119: $i,SV82: $i,SV6: $i] :
( ( ( member @ SV6 @ ( intersection @ SV82 @ SV119 ) )
= $false )
| ( ( member @ SV6 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(600,plain,
! [SV104: $i,SV83: $i,SV6: $i] :
( ( ( member @ SV6 @ ( intersection @ SV83 @ SV104 ) )
= $false )
| ( ( member @ SV6 @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(601,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
| ~ ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(602,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
| ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(603,plain,
! [SV73: $i,SV84: $i,SV124: $i] :
( ( ( ! [SY286: $i] :
( ~ ( member @ SV124 @ SV84 )
| ~ ( member @ SY286 @ SV84 )
| ( apply @ SV73 @ SV124 @ SY286 )
| ( apply @ SV73 @ SY286 @ SV124 ) ) )
= $true )
| ( ( total_order @ SV73 @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(604,plain,
! [SV7: $i,SV40: $i,SV60: $i] :
( ( ( member @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV40 )
= $true )
| ( ( ~ ( member @ SV60 @ SV40 ) )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(605,plain,
! [SV40: $i,SV60: $i,SV7: $i] :
( ( ( ~ ( apply @ SV7 @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV60 ) )
= $true )
| ( ( ~ ( member @ SV60 @ SV40 ) )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(606,plain,
! [SV86: $i,SV7: $i,SV105: $i] :
( ( ( greatest @ SV105 @ SV7 @ SV86 )
= $false )
| ( ( ! [SY271: $i] :
( ~ ( member @ SY271 @ SV86 )
| ( apply @ SV7 @ SY271 @ SV105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(607,plain,
! [SV87: $i,SV7: $i,SV106: $i] :
( ( ( greatest @ SV106 @ SV7 @ SV87 )
= $false )
| ( ( member @ SV106 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(608,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
| ~ ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 ) ) )
= $true )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(609,plain,
! [SV8: $i,SV41: $i,SV61: $i] :
( ( ( ( SV61
!= ( sK8_X @ SV61 @ SV41 @ SV8 ) ) )
= $true )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(610,plain,
! [SV88: $i,SV8: $i,SV107: $i] :
( ( ( min @ SV107 @ SV8 @ SV88 )
= $false )
| ( ( ! [SY272: $i] :
( ~ ( apply @ SV8 @ SY272 @ SV107 )
| ~ ( member @ SY272 @ SV88 )
| ( SV107 = SY272 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(611,plain,
! [SV89: $i,SV8: $i,SV108: $i] :
( ( ( min @ SV108 @ SV8 @ SV89 )
= $false )
| ( ( member @ SV108 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(612,plain,
! [SV42: $i,SV62: $i,SV9: $i] :
( ( ( apply @ SV9 @ ( sK13_X @ SV62 @ SV42 @ SV9 ) @ SV62 )
= $false )
| ( ( upper_bound @ SV62 @ SV9 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(613,plain,
! [SV63: $i,SV9: $i,SV43: $i,SV109: $i] :
( ( ( member @ SV109 @ SV43 )
= $false )
| ( ( apply @ SV9 @ SV109 @ SV63 )
= $true )
| ( ( upper_bound @ SV63 @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(614,plain,
! [SV125: $i,SV90: $i,SV10: $i] :
( ( ( member @ SV10 @ ( union @ SV90 @ SV125 ) )
= $true )
| ( ( member @ SV10 @ SV90 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(615,plain,
! [SV91: $i,SV110: $i,SV10: $i] :
( ( ( member @ SV10 @ SV110 )
= $false )
| ( ( member @ SV10 @ ( union @ SV91 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(616,plain,
! [SV92: $i,SV111: $i,SV11: $i] :
( ( ( member @ SV11 @ ( difference @ SV111 @ SV92 ) )
= $false )
| ( ( member @ SV11 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(617,plain,
! [SV93: $i,SV120: $i,SV11: $i] :
( ( ( member @ SV11 @ ( difference @ SV120 @ SV93 ) )
= $false )
| ( ( ~ ( member @ SV11 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(618,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ( ~ ( ~ ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 ) ) )
= $true )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(619,plain,
! [SV12: $i,SV50: $i,SV66: $i] :
( ( ( ( SV66
!= ( sK9_X @ SV66 @ SV50 @ SV12 ) ) )
= $true )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(620,plain,
! [SV94: $i,SV12: $i,SV112: $i] :
( ( ( max @ SV112 @ SV12 @ SV94 )
= $false )
| ( ( ! [SY273: $i] :
( ~ ( apply @ SV12 @ SV112 @ SY273 )
| ~ ( member @ SY273 @ SV94 )
| ( SV112 = SY273 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(621,plain,
! [SV95: $i,SV12: $i,SV113: $i] :
( ( ( max @ SV113 @ SV12 @ SV95 )
= $false )
| ( ( member @ SV113 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(622,plain,
! [SV126: $i,SV97: $i,SV13: $i] :
( ( ( member @ SV13 @ ( unordered_pair @ SV97 @ SV126 ) )
= $true )
| ( ( SV13 = SV97 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(623,plain,
! [SV98: $i,SV114: $i,SV13: $i] :
( ( ( SV13 = SV114 )
= $false )
| ( ( member @ SV13 @ ( unordered_pair @ SV98 @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(624,plain,
! [SV3: $i,SV31: $i,SV56: $i] :
( ( ( member @ SV56 @ SV31 )
= $false )
| ( ( member @ ( sK10_X @ SV56 @ SV31 @ SV3 ) @ SV31 )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(625,plain,
! [SV31: $i,SV56: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV56 @ ( sK10_X @ SV56 @ SV31 @ SV3 ) )
= $false )
| ( ( ~ ( member @ SV56 @ SV31 ) )
= $true )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(626,plain,
! [SV100: $i,SV3: $i,SV76: $i,SV127: $i] :
( ( ( ~ ( member @ SV127 @ SV76 )
| ( apply @ SV3 @ SV100 @ SV127 ) )
= $true )
| ( ( least @ SV100 @ SV3 @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(627,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(628,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(629,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(630,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(631,plain,
! [SV68: $i,SV128: $i,SV78: $i,SV121: $i] :
( ( ( ! [SY287: $i] :
( ~ ( member @ SV121 @ SV78 )
| ~ ( member @ SV128 @ SV78 )
| ~ ( member @ SY287 @ SV78 )
| ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SY287 )
| ( apply @ SV68 @ SV121 @ SY287 ) ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(632,plain,
! [SV122: $i,SV115: $i] :
( ( ( ~ ( order @ SV115 @ SV122 ) )
= $true )
| ( ( ! [SY283: $i] :
( ~ ( member @ SY283 @ SV122 )
| ( apply @ SV115 @ SY283 @ SY283 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(633,plain,
! [SV123: $i,SV116: $i] :
( ( ( ~ ( order @ SV116 @ SV123 ) )
= $true )
| ( ( ! [SY284: $i,SY285: $i] :
( ~ ( member @ SY284 @ SV123 )
| ~ ( member @ SY285 @ SV123 )
| ~ ( apply @ SV116 @ SY284 @ SY285 )
| ~ ( apply @ SV116 @ SY285 @ SY284 )
| ( SY284 = SY285 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(634,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( ~ ( ~ ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
| ~ ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 ) ) )
= $true )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(635,plain,
! [SV4: $i,SV14: $i,SV69: $i,SV57: $i] :
( ( ( ~ ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 ) )
= $true )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(636,plain,
! [SV117: $i,SV102: $i,SV14: $i,SV4: $i] :
( ( ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SV117 )
= $false )
| ( ( ! [SY279: $i] :
( ~ ( lower_bound @ SY279 @ SV102 @ SV14 )
| ~ ( member @ SY279 @ SV117 )
| ( apply @ SV102 @ SY279 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(637,plain,
! [SV129: $i,SV14: $i,SV4: $i] :
( ( ! [SY288: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SV129 @ SY288 )
| ( lower_bound @ SV4 @ SV129 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(638,plain,
! [SV14: $i,SV4: $i] :
( ( ( ! [SY183: $i,SY184: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SY183 @ SY184 ) )
= $true )
| ( ( member @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(639,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( ~ ( ~ ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
| ~ ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) ) )
= $true )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(640,plain,
! [SV15: $i,SV70: $i,SV5: $i,SV58: $i] :
( ( ( ~ ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) ) )
= $true )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(641,plain,
! [SV118: $i,SV103: $i,SV15: $i,SV5: $i] :
( ( ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SV118 )
= $false )
| ( ( ! [SY280: $i] :
( ~ ( member @ SY280 @ SV118 )
| ~ ( upper_bound @ SY280 @ SV103 @ SV15 )
| ( apply @ SV103 @ SV5 @ SY280 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(642,plain,
! [SV15: $i,SV5: $i] :
( ( ( ! [SY190: $i,SY191: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SY190 @ SY191 ) )
= $true )
| ( ( member @ SV5 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(643,plain,
! [SV130: $i,SV15: $i,SV5: $i] :
( ( ! [SY289: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SV130 @ SY289 )
| ( upper_bound @ SV5 @ SV130 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(644,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(645,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(646,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(647,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(648,plain,
! [SV73: $i,SV131: $i,SV84: $i,SV124: $i] :
( ( ( ~ ( member @ SV124 @ SV84 )
| ~ ( member @ SV131 @ SV84 )
| ( apply @ SV73 @ SV124 @ SV131 )
| ( apply @ SV73 @ SV131 @ SV124 ) )
= $true )
| ( ( total_order @ SV73 @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(649,plain,
! [SV7: $i,SV40: $i,SV60: $i] :
( ( ( member @ SV60 @ SV40 )
= $false )
| ( ( member @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV40 )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(650,plain,
! [SV40: $i,SV60: $i,SV7: $i] :
( ( ( apply @ SV7 @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV60 )
= $false )
| ( ( ~ ( member @ SV60 @ SV40 ) )
= $true )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(651,plain,
! [SV105: $i,SV7: $i,SV86: $i,SV132: $i] :
( ( ( ~ ( member @ SV132 @ SV86 )
| ( apply @ SV7 @ SV132 @ SV105 ) )
= $true )
| ( ( greatest @ SV105 @ SV7 @ SV86 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(652,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
| ~ ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 ) )
= $false )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(653,plain,
! [SV8: $i,SV41: $i,SV61: $i] :
( ( ( SV61
= ( sK8_X @ SV61 @ SV41 @ SV8 ) )
= $false )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(654,plain,
! [SV88: $i,SV107: $i,SV133: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ SV133 @ SV107 )
| ~ ( member @ SV133 @ SV88 )
| ( SV107 = SV133 ) )
= $true )
| ( ( min @ SV107 @ SV8 @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(655,plain,
! [SV120: $i,SV93: $i,SV11: $i] :
( ( ( member @ SV11 @ SV93 )
= $false )
| ( ( member @ SV11 @ ( difference @ SV120 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(656,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
| ~ ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 ) )
= $false )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(657,plain,
! [SV12: $i,SV50: $i,SV66: $i] :
( ( ( SV66
= ( sK9_X @ SV66 @ SV50 @ SV12 ) )
= $false )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(658,plain,
! [SV94: $i,SV134: $i,SV112: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ SV112 @ SV134 )
| ~ ( member @ SV134 @ SV94 )
| ( SV112 = SV134 ) )
= $true )
| ( ( max @ SV112 @ SV12 @ SV94 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(659,plain,
! [SV3: $i,SV31: $i,SV56: $i] :
( ( ( member @ SV56 @ SV31 )
= $false )
| ( ( apply @ SV3 @ SV56 @ ( sK10_X @ SV56 @ SV31 @ SV3 ) )
= $false )
| ( ( least @ SV56 @ SV3 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(660,plain,
! [SV100: $i,SV3: $i,SV76: $i,SV127: $i] :
( ( ( ~ ( member @ SV127 @ SV76 ) )
= $true )
| ( ( apply @ SV3 @ SV100 @ SV127 )
= $true )
| ( ( least @ SV100 @ SV3 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(661,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(662,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(663,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(664,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(665,plain,
! [SV68: $i,SV135: $i,SV128: $i,SV78: $i,SV121: $i] :
( ( ( ~ ( member @ SV121 @ SV78 )
| ~ ( member @ SV128 @ SV78 )
| ~ ( member @ SV135 @ SV78 )
| ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SV135 )
| ( apply @ SV68 @ SV121 @ SV135 ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(666,plain,
! [SV122: $i,SV115: $i] :
( ( ( order @ SV115 @ SV122 )
= $false )
| ( ( ! [SY283: $i] :
( ~ ( member @ SY283 @ SV122 )
| ( apply @ SV115 @ SY283 @ SY283 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(667,plain,
! [SV123: $i,SV116: $i] :
( ( ( order @ SV116 @ SV123 )
= $false )
| ( ( ! [SY284: $i,SY285: $i] :
( ~ ( member @ SY284 @ SV123 )
| ~ ( member @ SY285 @ SV123 )
| ~ ( apply @ SV116 @ SY284 @ SY285 )
| ~ ( apply @ SV116 @ SY285 @ SY284 )
| ( SY284 = SY285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(668,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( ~ ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
| ~ ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 ) )
= $false )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(669,plain,
! [SV4: $i,SV14: $i,SV69: $i,SV57: $i] :
( ( ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 )
= $false )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(670,plain,
! [SV4: $i,SV117: $i,SV14: $i,SV102: $i,SV136: $i] :
( ( ( ~ ( lower_bound @ SV136 @ SV102 @ SV14 )
| ~ ( member @ SV136 @ SV117 )
| ( apply @ SV102 @ SV136 @ SV4 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(671,plain,
! [SV129: $i,SV14: $i,SV4: $i] :
( ( ( ! [SY288: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SV129 @ SY288 ) )
= $true )
| ( ( lower_bound @ SV4 @ SV129 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(672,plain,
! [SV137: $i,SV14: $i,SV4: $i] :
( ( ( ! [SY290: $i] :
~ ( greatest_lower_bound @ SV4 @ SV14 @ SV137 @ SY290 ) )
= $true )
| ( ( member @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(673,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( ~ ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
| ~ ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) )
= $false )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(674,plain,
! [SV15: $i,SV70: $i,SV5: $i,SV58: $i] :
( ( ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) )
= $false )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(675,plain,
! [SV5: $i,SV15: $i,SV103: $i,SV118: $i,SV138: $i] :
( ( ( ~ ( member @ SV138 @ SV118 )
| ~ ( upper_bound @ SV138 @ SV103 @ SV15 )
| ( apply @ SV103 @ SV5 @ SV138 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(676,plain,
! [SV139: $i,SV15: $i,SV5: $i] :
( ( ( ! [SY291: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SV139 @ SY291 ) )
= $true )
| ( ( member @ SV5 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(677,plain,
! [SV130: $i,SV15: $i,SV5: $i] :
( ( ( ! [SY289: $i] :
~ ( least_upper_bound @ SV5 @ SV15 @ SV130 @ SY289 ) )
= $true )
| ( ( upper_bound @ SV5 @ SV130 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(678,plain,
! [SV22: $i,SV39: $i] :
( ( ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
= $true )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(679,plain,
! [SV22: $i,SV39: $i] :
( ( ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 )
= $true )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(680,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) ) )
= $true )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(681,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) ) )
= $true )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(682,plain,
! [SV73: $i,SV131: $i,SV84: $i,SV124: $i] :
( ( ( ~ ( member @ SV124 @ SV84 )
| ~ ( member @ SV131 @ SV84 ) )
= $true )
| ( ( ( apply @ SV73 @ SV124 @ SV131 )
| ( apply @ SV73 @ SV131 @ SV124 ) )
= $true )
| ( ( total_order @ SV73 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(683,plain,
! [SV7: $i,SV40: $i,SV60: $i] :
( ( ( member @ SV60 @ SV40 )
= $false )
| ( ( apply @ SV7 @ ( sK11_X @ SV60 @ SV40 @ SV7 ) @ SV60 )
= $false )
| ( ( greatest @ SV60 @ SV7 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(684,plain,
! [SV105: $i,SV7: $i,SV86: $i,SV132: $i] :
( ( ( ~ ( member @ SV132 @ SV86 ) )
= $true )
| ( ( apply @ SV7 @ SV132 @ SV105 )
= $true )
| ( ( greatest @ SV105 @ SV7 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(685,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 ) )
= $false )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(686,plain,
! [SV8: $i,SV41: $i,SV61: $i] :
( ( ( ~ ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 ) )
= $false )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(687,plain,
! [SV8: $i,SV41: $i,SV61: $i] :
( ( ( member @ SV61 @ SV41 )
= $false )
| ( ( SV61
= ( sK8_X @ SV61 @ SV41 @ SV8 ) )
= $false )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(688,plain,
! [SV88: $i,SV107: $i,SV133: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ SV133 @ SV107 )
| ~ ( member @ SV133 @ SV88 ) )
= $true )
| ( ( SV107 = SV133 )
= $true )
| ( ( min @ SV107 @ SV8 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(689,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) ) )
= $false )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(690,plain,
! [SV12: $i,SV50: $i,SV66: $i] :
( ( ( ~ ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 ) )
= $false )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(691,plain,
! [SV12: $i,SV50: $i,SV66: $i] :
( ( ( member @ SV66 @ SV50 )
= $false )
| ( ( SV66
= ( sK9_X @ SV66 @ SV50 @ SV12 ) )
= $false )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(692,plain,
! [SV94: $i,SV134: $i,SV112: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ SV112 @ SV134 )
| ~ ( member @ SV134 @ SV94 ) )
= $true )
| ( ( SV112 = SV134 )
= $true )
| ( ( max @ SV112 @ SV12 @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(693,plain,
! [SV100: $i,SV3: $i,SV76: $i,SV127: $i] :
( ( ( member @ SV127 @ SV76 )
= $false )
| ( ( apply @ SV3 @ SV100 @ SV127 )
= $true )
| ( ( least @ SV100 @ SV3 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(694,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(695,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(696,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(697,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(698,plain,
! [SV68: $i,SV135: $i,SV128: $i,SV78: $i,SV121: $i] :
( ( ( ~ ( member @ SV121 @ SV78 )
| ~ ( member @ SV128 @ SV78 )
| ~ ( member @ SV135 @ SV78 ) )
= $true )
| ( ( ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SV135 )
| ( apply @ SV68 @ SV121 @ SV135 ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(699,plain,
! [SV115: $i,SV122: $i,SV140: $i] :
( ( ( ~ ( member @ SV140 @ SV122 )
| ( apply @ SV115 @ SV140 @ SV140 ) )
= $true )
| ( ( order @ SV115 @ SV122 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(700,plain,
! [SV116: $i,SV123: $i,SV141: $i] :
( ( ( ! [SY292: $i] :
( ~ ( member @ SV141 @ SV123 )
| ~ ( member @ SY292 @ SV123 )
| ~ ( apply @ SV116 @ SV141 @ SY292 )
| ~ ( apply @ SV116 @ SY292 @ SV141 )
| ( SV141 = SY292 ) ) )
= $true )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(701,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( ~ ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 ) )
= $false )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(702,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( ~ ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 ) )
= $false )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(703,plain,
! [SV69: $i,SV14: $i,SV57: $i,SV4: $i] :
( ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 ) )
= $true )
| ( ( ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 )
= $false )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(704,plain,
! [SV4: $i,SV117: $i,SV14: $i,SV102: $i,SV136: $i] :
( ( ( ~ ( lower_bound @ SV136 @ SV102 @ SV14 )
| ~ ( member @ SV136 @ SV117 ) )
= $true )
| ( ( apply @ SV102 @ SV136 @ SV4 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(705,plain,
! [SV142: $i,SV129: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SV129 @ SV142 ) )
= $true )
| ( ( lower_bound @ SV4 @ SV129 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(706,plain,
! [SV143: $i,SV137: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( greatest_lower_bound @ SV4 @ SV14 @ SV137 @ SV143 ) )
= $true )
| ( ( member @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(707,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( ~ ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 ) )
= $false )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(708,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( ~ ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 ) )
= $false )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(709,plain,
! [SV70: $i,SV58: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( member @ SV5 @ SV15 ) )
= $true )
| ( ( ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) )
= $false )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(710,plain,
! [SV5: $i,SV15: $i,SV103: $i,SV118: $i,SV138: $i] :
( ( ( ~ ( member @ SV138 @ SV118 )
| ~ ( upper_bound @ SV138 @ SV103 @ SV15 ) )
= $true )
| ( ( apply @ SV103 @ SV5 @ SV138 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(711,plain,
! [SV144: $i,SV139: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( least_upper_bound @ SV5 @ SV15 @ SV139 @ SV144 ) )
= $true )
| ( ( member @ SV5 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(712,plain,
! [SV145: $i,SV130: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( least_upper_bound @ SV5 @ SV15 @ SV130 @ SV145 ) )
= $true )
| ( ( upper_bound @ SV5 @ SV130 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(713,plain,
! [SV39: $i,SV22: $i] :
( ( ( order @ SV22 @ SV39 )
= $false )
| ( ( member @ ( sK14_X @ SV39 @ SV22 ) @ SV39 )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(714,plain,
! [SV39: $i,SV22: $i] :
( ( ( order @ SV22 @ SV39 )
= $false )
| ( ( member @ ( sK15_SY89 @ SV39 @ SV22 ) @ SV39 )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(715,plain,
! [SV39: $i,SV22: $i] :
( ( ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(716,plain,
! [SV39: $i,SV22: $i] :
( ( ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) )
= $false )
| ( ( ~ ( order @ SV22 @ SV39 ) )
= $true )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(717,plain,
! [SV73: $i,SV131: $i,SV84: $i,SV124: $i] :
( ( ( ~ ( member @ SV124 @ SV84 ) )
= $true )
| ( ( ~ ( member @ SV131 @ SV84 ) )
= $true )
| ( ( ( apply @ SV73 @ SV124 @ SV131 )
| ( apply @ SV73 @ SV131 @ SV124 ) )
= $true )
| ( ( total_order @ SV73 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(718,plain,
! [SV105: $i,SV7: $i,SV86: $i,SV132: $i] :
( ( ( member @ SV132 @ SV86 )
= $false )
| ( ( apply @ SV7 @ SV132 @ SV105 )
= $true )
| ( ( greatest @ SV105 @ SV7 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(719,plain,
! [SV41: $i,SV61: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
= $true )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(720,plain,
! [SV8: $i,SV41: $i,SV61: $i] :
( ( ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 )
= $true )
| ( ( ~ ( member @ SV61 @ SV41 ) )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(721,plain,
! [SV88: $i,SV107: $i,SV133: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ SV133 @ SV107 ) )
= $true )
| ( ( ~ ( member @ SV133 @ SV88 ) )
= $true )
| ( ( SV107 = SV133 )
= $true )
| ( ( min @ SV107 @ SV8 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(722,plain,
! [SV50: $i,SV66: $i,SV12: $i] :
( ( ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
= $true )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(723,plain,
! [SV12: $i,SV50: $i,SV66: $i] :
( ( ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 )
= $true )
| ( ( ~ ( member @ SV66 @ SV50 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(724,plain,
! [SV94: $i,SV134: $i,SV112: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ SV112 @ SV134 ) )
= $true )
| ( ( ~ ( member @ SV134 @ SV94 ) )
= $true )
| ( ( SV112 = SV134 )
= $true )
| ( ( max @ SV112 @ SV12 @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(725,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(726,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(727,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(728,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(729,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(730,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(731,plain,
! [SV68: $i,SV135: $i,SV128: $i,SV78: $i,SV121: $i] :
( ( ( ~ ( member @ SV121 @ SV78 )
| ~ ( member @ SV128 @ SV78 ) )
= $true )
| ( ( ~ ( member @ SV135 @ SV78 ) )
= $true )
| ( ( ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SV135 )
| ( apply @ SV68 @ SV121 @ SV135 ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(732,plain,
! [SV115: $i,SV122: $i,SV140: $i] :
( ( ( ~ ( member @ SV140 @ SV122 ) )
= $true )
| ( ( apply @ SV115 @ SV140 @ SV140 )
= $true )
| ( ( order @ SV115 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(733,plain,
! [SV116: $i,SV146: $i,SV123: $i,SV141: $i] :
( ( ( ~ ( member @ SV141 @ SV123 )
| ~ ( member @ SV146 @ SV123 )
| ~ ( apply @ SV116 @ SV141 @ SV146 )
| ~ ( apply @ SV116 @ SV146 @ SV141 )
| ( SV141 = SV146 ) )
= $true )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(734,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
= $true )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(735,plain,
! [SV4: $i,SV14: $i,SV57: $i,SV69: $i] :
( ( ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 )
= $true )
| ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 )
| ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(736,plain,
! [SV69: $i,SV14: $i,SV57: $i,SV4: $i] :
( ( ( lower_bound @ SV4 @ SV57 @ SV14 )
= $false )
| ( ( ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 )
= $false )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(737,plain,
! [SV4: $i,SV117: $i,SV14: $i,SV102: $i,SV136: $i] :
( ( ( ~ ( lower_bound @ SV136 @ SV102 @ SV14 ) )
= $true )
| ( ( ~ ( member @ SV136 @ SV117 ) )
= $true )
| ( ( apply @ SV102 @ SV136 @ SV4 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(738,plain,
! [SV142: $i,SV129: $i,SV14: $i,SV4: $i] :
( ( ( greatest_lower_bound @ SV4 @ SV14 @ SV129 @ SV142 )
= $false )
| ( ( lower_bound @ SV4 @ SV129 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(739,plain,
! [SV143: $i,SV137: $i,SV14: $i,SV4: $i] :
( ( ( greatest_lower_bound @ SV4 @ SV14 @ SV137 @ SV143 )
= $false )
| ( ( member @ SV4 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(740,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
= $true )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(741,plain,
! [SV5: $i,SV15: $i,SV58: $i,SV70: $i] :
( ( ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 )
= $true )
| ( ( ~ ( member @ SV5 @ SV15 )
| ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(742,plain,
! [SV70: $i,SV58: $i,SV15: $i,SV5: $i] :
( ( ( member @ SV5 @ SV15 )
= $false )
| ( ( ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) )
= $false )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(743,plain,
! [SV5: $i,SV15: $i,SV103: $i,SV118: $i,SV138: $i] :
( ( ( ~ ( member @ SV138 @ SV118 ) )
= $true )
| ( ( ~ ( upper_bound @ SV138 @ SV103 @ SV15 ) )
= $true )
| ( ( apply @ SV103 @ SV5 @ SV138 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(744,plain,
! [SV144: $i,SV139: $i,SV15: $i,SV5: $i] :
( ( ( least_upper_bound @ SV5 @ SV15 @ SV139 @ SV144 )
= $false )
| ( ( member @ SV5 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(745,plain,
! [SV145: $i,SV130: $i,SV15: $i,SV5: $i] :
( ( ( least_upper_bound @ SV5 @ SV15 @ SV130 @ SV145 )
= $false )
| ( ( upper_bound @ SV5 @ SV130 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(746,plain,
! [SV39: $i,SV22: $i] :
( ( ( order @ SV22 @ SV39 )
= $false )
| ( ( apply @ SV22 @ ( sK14_X @ SV39 @ SV22 ) @ ( sK15_SY89 @ SV39 @ SV22 ) )
= $false )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(747,plain,
! [SV39: $i,SV22: $i] :
( ( ( order @ SV22 @ SV39 )
= $false )
| ( ( apply @ SV22 @ ( sK15_SY89 @ SV39 @ SV22 ) @ ( sK14_X @ SV39 @ SV22 ) )
= $false )
| ( ( total_order @ SV22 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(748,plain,
! [SV73: $i,SV131: $i,SV84: $i,SV124: $i] :
( ( ( member @ SV124 @ SV84 )
= $false )
| ( ( ~ ( member @ SV131 @ SV84 ) )
= $true )
| ( ( ( apply @ SV73 @ SV124 @ SV131 )
| ( apply @ SV73 @ SV131 @ SV124 ) )
= $true )
| ( ( total_order @ SV73 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(749,plain,
! [SV8: $i,SV41: $i,SV61: $i] :
( ( ( member @ SV61 @ SV41 )
= $false )
| ( ( apply @ SV8 @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV61 )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(750,plain,
! [SV8: $i,SV41: $i,SV61: $i] :
( ( ( member @ SV61 @ SV41 )
= $false )
| ( ( member @ ( sK8_X @ SV61 @ SV41 @ SV8 ) @ SV41 )
= $true )
| ( ( min @ SV61 @ SV8 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(751,plain,
! [SV88: $i,SV107: $i,SV133: $i,SV8: $i] :
( ( ( apply @ SV8 @ SV133 @ SV107 )
= $false )
| ( ( ~ ( member @ SV133 @ SV88 ) )
= $true )
| ( ( SV107 = SV133 )
= $true )
| ( ( min @ SV107 @ SV8 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(752,plain,
! [SV12: $i,SV50: $i,SV66: $i] :
( ( ( member @ SV66 @ SV50 )
= $false )
| ( ( apply @ SV12 @ SV66 @ ( sK9_X @ SV66 @ SV50 @ SV12 ) )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(753,plain,
! [SV12: $i,SV50: $i,SV66: $i] :
( ( ( member @ SV66 @ SV50 )
= $false )
| ( ( member @ ( sK9_X @ SV66 @ SV50 @ SV12 ) @ SV50 )
= $true )
| ( ( max @ SV66 @ SV12 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(754,plain,
! [SV94: $i,SV134: $i,SV112: $i,SV12: $i] :
( ( ( apply @ SV12 @ SV112 @ SV134 )
= $false )
| ( ( ~ ( member @ SV134 @ SV94 ) )
= $true )
| ( ( SV112 = SV134 )
= $true )
| ( ( max @ SV112 @ SV12 @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(755,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(756,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(757,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(758,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(759,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(760,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
| ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(761,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(762,plain,
! [SV68: $i,SV135: $i,SV128: $i,SV78: $i,SV121: $i] :
( ( ( ~ ( member @ SV121 @ SV78 ) )
= $true )
| ( ( ~ ( member @ SV128 @ SV78 ) )
= $true )
| ( ( ~ ( member @ SV135 @ SV78 ) )
= $true )
| ( ( ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SV135 )
| ( apply @ SV68 @ SV121 @ SV135 ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(763,plain,
! [SV115: $i,SV122: $i,SV140: $i] :
( ( ( member @ SV140 @ SV122 )
= $false )
| ( ( apply @ SV115 @ SV140 @ SV140 )
= $true )
| ( ( order @ SV115 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(764,plain,
! [SV116: $i,SV146: $i,SV123: $i,SV141: $i] :
( ( ( ~ ( member @ SV141 @ SV123 )
| ~ ( member @ SV146 @ SV123 ) )
= $true )
| ( ( ~ ( apply @ SV116 @ SV141 @ SV146 )
| ~ ( apply @ SV116 @ SV146 @ SV141 )
| ( SV141 = SV146 ) )
= $true )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(765,plain,
! [SV69: $i,SV14: $i,SV57: $i,SV4: $i] :
( ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 ) )
= $true )
| ( ( ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(766,plain,
! [SV69: $i,SV14: $i,SV57: $i,SV4: $i] :
( ( ( ~ ( lower_bound @ SV4 @ SV57 @ SV14 ) )
= $true )
| ( ( ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(767,plain,
! [SV69: $i,SV57: $i,SV14: $i,SV4: $i] :
( ( ( member @ SV4 @ SV14 )
= $false )
| ( ( lower_bound @ SV4 @ SV57 @ SV14 )
= $false )
| ( ( apply @ SV57 @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV4 )
= $false )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(768,plain,
! [SV4: $i,SV117: $i,SV14: $i,SV102: $i,SV136: $i] :
( ( ( lower_bound @ SV136 @ SV102 @ SV14 )
= $false )
| ( ( ~ ( member @ SV136 @ SV117 ) )
= $true )
| ( ( apply @ SV102 @ SV136 @ SV4 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(769,plain,
! [SV70: $i,SV58: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( member @ SV5 @ SV15 ) )
= $true )
| ( ( ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(770,plain,
! [SV70: $i,SV58: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( member @ SV5 @ SV15 ) )
= $true )
| ( ( ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(771,plain,
! [SV70: $i,SV15: $i,SV58: $i,SV5: $i] :
( ( ( upper_bound @ SV5 @ SV58 @ SV15 )
= $false )
| ( ( member @ SV5 @ SV15 )
= $false )
| ( ( apply @ SV58 @ SV5 @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) )
= $false )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(772,plain,
! [SV5: $i,SV15: $i,SV103: $i,SV118: $i,SV138: $i] :
( ( ( member @ SV138 @ SV118 )
= $false )
| ( ( ~ ( upper_bound @ SV138 @ SV103 @ SV15 ) )
= $true )
| ( ( apply @ SV103 @ SV5 @ SV138 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(773,plain,
! [SV73: $i,SV124: $i,SV84: $i,SV131: $i] :
( ( ( member @ SV131 @ SV84 )
= $false )
| ( ( member @ SV124 @ SV84 )
= $false )
| ( ( ( apply @ SV73 @ SV124 @ SV131 )
| ( apply @ SV73 @ SV131 @ SV124 ) )
= $true )
| ( ( total_order @ SV73 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(774,plain,
! [SV107: $i,SV8: $i,SV88: $i,SV133: $i] :
( ( ( member @ SV133 @ SV88 )
= $false )
| ( ( apply @ SV8 @ SV133 @ SV107 )
= $false )
| ( ( SV107 = SV133 )
= $true )
| ( ( min @ SV107 @ SV8 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(775,plain,
! [SV112: $i,SV12: $i,SV94: $i,SV134: $i] :
( ( ( member @ SV134 @ SV94 )
= $false )
| ( ( apply @ SV12 @ SV112 @ SV134 )
= $false )
| ( ( SV112 = SV134 )
= $true )
| ( ( max @ SV112 @ SV12 @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(776,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(777,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(778,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(779,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(780,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(781,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(782,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(783,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(784,plain,
! [SV68: $i,SV135: $i,SV128: $i,SV78: $i,SV121: $i] :
( ( ( member @ SV121 @ SV78 )
= $false )
| ( ( ~ ( member @ SV128 @ SV78 ) )
= $true )
| ( ( ~ ( member @ SV135 @ SV78 ) )
= $true )
| ( ( ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SV135 )
| ( apply @ SV68 @ SV121 @ SV135 ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(785,plain,
! [SV116: $i,SV146: $i,SV123: $i,SV141: $i] :
( ( ( ~ ( member @ SV141 @ SV123 ) )
= $true )
| ( ( ~ ( member @ SV146 @ SV123 ) )
= $true )
| ( ( ~ ( apply @ SV116 @ SV141 @ SV146 )
| ~ ( apply @ SV116 @ SV146 @ SV141 )
| ( SV141 = SV146 ) )
= $true )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(786,plain,
! [SV69: $i,SV14: $i,SV57: $i,SV4: $i] :
( ( ( lower_bound @ SV4 @ SV57 @ SV14 )
= $false )
| ( ( ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(787,plain,
! [SV69: $i,SV14: $i,SV57: $i,SV4: $i] :
( ( ( lower_bound @ SV4 @ SV57 @ SV14 )
= $false )
| ( ( ~ ( member @ SV4 @ SV14 ) )
= $true )
| ( ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(788,plain,
! [SV4: $i,SV14: $i,SV102: $i,SV117: $i,SV136: $i] :
( ( ( member @ SV136 @ SV117 )
= $false )
| ( ( lower_bound @ SV136 @ SV102 @ SV14 )
= $false )
| ( ( apply @ SV102 @ SV136 @ SV4 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV102 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(789,plain,
! [SV70: $i,SV58: $i,SV15: $i,SV5: $i] :
( ( ( member @ SV5 @ SV15 )
= $false )
| ( ( ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(790,plain,
! [SV70: $i,SV58: $i,SV15: $i,SV5: $i] :
( ( ( member @ SV5 @ SV15 )
= $false )
| ( ( ~ ( upper_bound @ SV5 @ SV58 @ SV15 ) )
= $true )
| ( ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(791,plain,
! [SV5: $i,SV118: $i,SV15: $i,SV103: $i,SV138: $i] :
( ( ( upper_bound @ SV138 @ SV103 @ SV15 )
= $false )
| ( ( member @ SV138 @ SV118 )
= $false )
| ( ( apply @ SV103 @ SV5 @ SV138 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV103 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(792,plain,
! [SV84: $i,SV131: $i,SV124: $i,SV73: $i] :
( ( ( apply @ SV73 @ SV124 @ SV131 )
= $true )
| ( ( apply @ SV73 @ SV131 @ SV124 )
= $true )
| ( ( member @ SV124 @ SV84 )
= $false )
| ( ( member @ SV131 @ SV84 )
= $false )
| ( ( total_order @ SV73 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(793,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(794,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(795,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(796,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(797,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(798,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
| ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(799,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(800,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(801,plain,
! [SV68: $i,SV135: $i,SV121: $i,SV78: $i,SV128: $i] :
( ( ( member @ SV128 @ SV78 )
= $false )
| ( ( member @ SV121 @ SV78 )
= $false )
| ( ( ~ ( member @ SV135 @ SV78 ) )
= $true )
| ( ( ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SV135 )
| ( apply @ SV68 @ SV121 @ SV135 ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(802,plain,
! [SV116: $i,SV146: $i,SV123: $i,SV141: $i] :
( ( ( member @ SV141 @ SV123 )
= $false )
| ( ( ~ ( member @ SV146 @ SV123 ) )
= $true )
| ( ( ~ ( apply @ SV116 @ SV141 @ SV146 )
| ~ ( apply @ SV116 @ SV146 @ SV141 )
| ( SV141 = SV146 ) )
= $true )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(803,plain,
! [SV69: $i,SV57: $i,SV14: $i,SV4: $i] :
( ( ( member @ SV4 @ SV14 )
= $false )
| ( ( lower_bound @ SV4 @ SV57 @ SV14 )
= $false )
| ( ( lower_bound @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV57 @ SV14 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(804,plain,
! [SV69: $i,SV57: $i,SV14: $i,SV4: $i] :
( ( ( member @ SV4 @ SV14 )
= $false )
| ( ( lower_bound @ SV4 @ SV57 @ SV14 )
= $false )
| ( ( member @ ( sK6_M @ SV69 @ SV57 @ SV14 @ SV4 ) @ SV69 )
= $true )
| ( ( greatest_lower_bound @ SV4 @ SV14 @ SV57 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(805,plain,
! [SV70: $i,SV15: $i,SV58: $i,SV5: $i] :
( ( ( upper_bound @ SV5 @ SV58 @ SV15 )
= $false )
| ( ( member @ SV5 @ SV15 )
= $false )
| ( ( member @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV70 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(806,plain,
! [SV70: $i,SV15: $i,SV58: $i,SV5: $i] :
( ( ( upper_bound @ SV5 @ SV58 @ SV15 )
= $false )
| ( ( member @ SV5 @ SV15 )
= $false )
| ( ( upper_bound @ ( sK7_M @ SV70 @ SV58 @ SV15 @ SV5 ) @ SV58 @ SV15 )
= $true )
| ( ( least_upper_bound @ SV5 @ SV15 @ SV58 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(807,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(808,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(809,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(810,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(811,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(812,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(813,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(814,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(815,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(816,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(817,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[798]) ).
thf(818,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(819,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(820,plain,
! [SV68: $i,SV128: $i,SV121: $i,SV78: $i,SV135: $i] :
( ( ( member @ SV135 @ SV78 )
= $false )
| ( ( member @ SV121 @ SV78 )
= $false )
| ( ( member @ SV128 @ SV78 )
= $false )
| ( ( ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SV135 )
| ( apply @ SV68 @ SV121 @ SV135 ) )
= $true )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(821,plain,
! [SV116: $i,SV141: $i,SV123: $i,SV146: $i] :
( ( ( member @ SV146 @ SV123 )
= $false )
| ( ( member @ SV141 @ SV123 )
= $false )
| ( ( ~ ( apply @ SV116 @ SV141 @ SV146 )
| ~ ( apply @ SV116 @ SV146 @ SV141 )
| ( SV141 = SV146 ) )
= $true )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(822,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(823,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(824,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(825,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(826,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(827,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(828,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[813]) ).
thf(829,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[813]) ).
thf(830,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(831,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(832,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[816]) ).
thf(833,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(834,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(835,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(836,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(837,plain,
! [SV78: $i,SV135: $i,SV128: $i,SV121: $i,SV68: $i] :
( ( ( ~ ( apply @ SV68 @ SV121 @ SV128 )
| ~ ( apply @ SV68 @ SV128 @ SV135 ) )
= $true )
| ( ( apply @ SV68 @ SV121 @ SV135 )
= $true )
| ( ( member @ SV128 @ SV78 )
= $false )
| ( ( member @ SV121 @ SV78 )
= $false )
| ( ( member @ SV135 @ SV78 )
= $false )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(838,plain,
! [SV123: $i,SV146: $i,SV141: $i,SV116: $i] :
( ( ( ~ ( apply @ SV116 @ SV141 @ SV146 )
| ~ ( apply @ SV116 @ SV146 @ SV141 ) )
= $true )
| ( ( SV141 = SV146 )
= $true )
| ( ( member @ SV141 @ SV123 )
= $false )
| ( ( member @ SV146 @ SV123 )
= $false )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(839,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(840,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(841,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(842,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(843,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(844,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(845,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(846,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(847,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(848,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(849,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(850,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(851,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(852,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(853,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(854,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(855,plain,
! [SV78: $i,SV135: $i,SV128: $i,SV121: $i,SV68: $i] :
( ( ( ~ ( apply @ SV68 @ SV121 @ SV128 ) )
= $true )
| ( ( ~ ( apply @ SV68 @ SV128 @ SV135 ) )
= $true )
| ( ( apply @ SV68 @ SV121 @ SV135 )
= $true )
| ( ( member @ SV128 @ SV78 )
= $false )
| ( ( member @ SV121 @ SV78 )
= $false )
| ( ( member @ SV135 @ SV78 )
= $false )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(856,plain,
! [SV123: $i,SV146: $i,SV141: $i,SV116: $i] :
( ( ( ~ ( apply @ SV116 @ SV141 @ SV146 ) )
= $true )
| ( ( ~ ( apply @ SV116 @ SV146 @ SV141 ) )
= $true )
| ( ( SV141 = SV146 )
= $true )
| ( ( member @ SV141 @ SV123 )
= $false )
| ( ( member @ SV146 @ SV123 )
= $false )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(857,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(858,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(859,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(860,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[841]) ).
thf(861,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[841]) ).
thf(862,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(863,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(864,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[843]) ).
thf(865,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(866,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(867,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(868,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(869,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[847]) ).
thf(870,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[847]) ).
thf(871,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(872,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[849]) ).
thf(873,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[849]) ).
thf(874,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
| ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(875,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(876,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(877,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[853]) ).
thf(878,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(879,plain,
! [SV78: $i,SV135: $i,SV128: $i,SV121: $i,SV68: $i] :
( ( ( apply @ SV68 @ SV121 @ SV128 )
= $false )
| ( ( ~ ( apply @ SV68 @ SV128 @ SV135 ) )
= $true )
| ( ( apply @ SV68 @ SV121 @ SV135 )
= $true )
| ( ( member @ SV128 @ SV78 )
= $false )
| ( ( member @ SV121 @ SV78 )
= $false )
| ( ( member @ SV135 @ SV78 )
= $false )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(880,plain,
! [SV123: $i,SV146: $i,SV141: $i,SV116: $i] :
( ( ( apply @ SV116 @ SV141 @ SV146 )
= $false )
| ( ( ~ ( apply @ SV116 @ SV146 @ SV141 ) )
= $true )
| ( ( SV141 = SV146 )
= $true )
| ( ( member @ SV141 @ SV123 )
= $false )
| ( ( member @ SV146 @ SV123 )
= $false )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(881,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(882,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(883,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(884,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(885,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(886,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(887,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(888,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(889,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(890,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(891,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(892,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(893,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[867]) ).
thf(894,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[867]) ).
thf(895,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(896,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(897,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(898,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(899,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(900,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(901,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(902,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(903,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(904,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(905,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(906,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(907,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(908,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(909,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(910,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(911,plain,
! [SV78: $i,SV121: $i,SV135: $i,SV128: $i,SV68: $i] :
( ( ( apply @ SV68 @ SV128 @ SV135 )
= $false )
| ( ( apply @ SV68 @ SV121 @ SV128 )
= $false )
| ( ( apply @ SV68 @ SV121 @ SV135 )
= $true )
| ( ( member @ SV128 @ SV78 )
= $false )
| ( ( member @ SV121 @ SV78 )
= $false )
| ( ( member @ SV135 @ SV78 )
= $false )
| ( ( order @ SV68 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(912,plain,
! [SV123: $i,SV141: $i,SV146: $i,SV116: $i] :
( ( ( apply @ SV116 @ SV146 @ SV141 )
= $false )
| ( ( apply @ SV116 @ SV141 @ SV146 )
= $false )
| ( ( SV141 = SV146 )
= $true )
| ( ( member @ SV141 @ SV123 )
= $false )
| ( ( member @ SV146 @ SV123 )
= $false )
| ( ( order @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(913,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(914,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(915,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[883]) ).
thf(916,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[884]) ).
thf(917,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(918,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(919,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(920,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[888]) ).
thf(921,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(922,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(923,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(924,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(925,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(926,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(927,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(928,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(929,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(930,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[900]) ).
thf(931,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(932,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(933,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(934,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[904]) ).
thf(935,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[905]) ).
thf(936,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(937,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(938,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(939,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(940,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(941,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(942,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(943,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(944,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(945,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(946,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[914]) ).
thf(947,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(948,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(949,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(950,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(951,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(952,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[918]) ).
thf(953,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(954,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(955,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(956,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(957,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(958,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(959,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(960,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(961,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(962,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[928]) ).
thf(963,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(964,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(965,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(966,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(967,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(968,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(969,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
| ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(970,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
| ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(971,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(972,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(973,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(974,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[940]) ).
thf(975,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[941]) ).
thf(976,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[942]) ).
thf(977,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[943]) ).
thf(978,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(979,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(980,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(981,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(982,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(983,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(984,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(985,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(986,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(987,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(988,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(989,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(990,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(991,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(992,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(993,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(994,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[956]) ).
thf(995,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(996,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(997,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[959]) ).
thf(998,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(999,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1000,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1001,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1002,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(1003,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1004,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1005,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1006,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1007,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1008,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1009,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1010,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1011,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1012,plain,
! [SV16: $i,SV32: $i] :
( ( ( ~ ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1013,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1014,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[971]) ).
thf(1015,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1016,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1017,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1018,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1019,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1020,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1021,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1022,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1023,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1024,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1025,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1026,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1027,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1028,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1029,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1030,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK21_SY93 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1031,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1032,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1033,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1034,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1035,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1036,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1037,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1038,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1039,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK16_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1040,plain,
! [SV16: $i,SV32: $i] :
( ( ( member @ ( sK17_SY90 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1041,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1011]) ).
thf(1042,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( ( sK16_X @ SV32 @ SV16 )
!= ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1043,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1044,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1045,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1046,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1015]) ).
thf(1047,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1048,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1049,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1050,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1051,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1052,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1053,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1054,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1055,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1056,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1057,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1058,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1059,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1060,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1061,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
| ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1062,plain,
! [SV16: $i,SV32: $i] :
( ( ( ( sK16_X @ SV32 @ SV16 )
= ( sK17_SY90 @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1063,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1064,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $false )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1046]) ).
thf(1065,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1047]) ).
thf(1066,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1067,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1068,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1069,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1070,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1071,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1053]) ).
thf(1072,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1053]) ).
thf(1073,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1074,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1075,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1076,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1077,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1078,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( member @ ( sK18_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1079,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1080,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) ) )
= $false )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1081,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1082,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_X @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1083,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1071]) ).
thf(1084,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( member @ ( sK20_SY91 @ SV32 @ SV16 ) @ SV32 )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1085,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1086,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK19_X @ SV32 @ SV16 ) @ ( sK20_SY91 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1087,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK16_X @ SV32 @ SV16 ) @ ( sK17_SY90 @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1088,plain,
! [SV32: $i,SV16: $i] :
( ( ( apply @ SV16 @ ( sK17_SY90 @ SV32 @ SV16 ) @ ( sK16_X @ SV32 @ SV16 ) )
= $true )
| ( ( apply @ SV16 @ ( sK18_X @ SV32 @ SV16 ) @ ( sK18_X @ SV32 @ SV16 ) )
= $false )
| ( ( apply @ SV16 @ ( sK20_SY91 @ SV32 @ SV16 ) @ ( sK21_SY93 @ SV32 @ SV16 ) )
= $true )
| ( ( order @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1089,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[93,1088,1087,1086,1085,1084,1083,1082,1081,1078,1077,1074,1073,1070,1069,1066,1065,1064,1063,1062,1058,1054,1050,1044,1043,1040,1039,1038,1034,1033,1032,1030,1029,1026,1025,1024,1020,1019,1018,1016,1006,1005,998,997,994,993,986,985,978,977,974,973,972,958,936,935,924,923,922,912,911,890,889,806,805,804,803,792,791,788,775,774,771,767,763,753,752,750,749,747,746,745,744,739,738,718,714,713,693,691,687,683,659,655,649,624,623,622,621,616,615,614,613,612,611,607,600,599,583,579,578,575,574,567,566,565,560,551,545,544,543,538,537,521,518,515,509,505,504,501,482,476,399,398,392,376,375,336,335,138]) ).
thf(1090,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET797+4 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 9 23:15:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 21
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 0
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.39 .
% 0.20/0.41 (rf:0,axioms:21,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:23,loop_count:0,foatp_calls:0,translation:fof_full)......................................................................
% 2.84/3.04
% 2.84/3.04 ********************************
% 2.84/3.04 * All subproblems solved! *
% 2.84/3.04 ********************************
% 2.84/3.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:22,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1089,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.34/3.55
% 3.34/3.55 %**** Beginning of derivation protocol ****
% 3.34/3.55 % SZS output start CNFRefutation
% See solution above
% 3.34/3.55
% 3.34/3.55 %**** End of derivation protocol ****
% 3.34/3.55 %**** no. of clauses in derivation: 1090 ****
% 3.34/3.55 %**** clause counter: 1089 ****
% 3.34/3.55
% 3.34/3.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:22,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1089,loop_count:0,foatp_calls:1,translation:fof_full)
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