%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SET750+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:40:58 AM UTC 2026
% Result : Theorem 96.70s 16.53s
% Output : CNFRefutation 96.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 6
% Syntax : Number of formulae : 765 ( 146 unt; 0 typ; 0 def)
% Number of atoms : 10547 (2603 equ; 0 cnn)
% Maximal formula atoms : 11 ( 13 avg)
% Number of connectives : 33133 (7678 ~;4674 |; 103 &;20607 @)
% ( 33 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 67 usr; 8 con; 0-6 aty)
% Number of variables : 4661 ( 0 ^;4657 !; 4 ?;4661 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_apply,type,
apply: $i > $i > $i > $o ).
thf(tp_compose_function,type,
compose_function: $i > $i > $i > $i > $i > $i ).
thf(tp_compose_predicate,type,
compose_predicate: $i > $i > $i > $i > $i > $i > $o ).
thf(tp_decreasing,type,
decreasing: $i > $i > $i > $i > $i > $o ).
thf(tp_difference,type,
difference: $i > $i > $i ).
thf(tp_empty_set,type,
empty_set: $i ).
thf(tp_equal_maps,type,
equal_maps: $i > $i > $i > $i > $o ).
thf(tp_equal_set,type,
equal_set: $i > $i > $o ).
thf(tp_identity,type,
identity: $i > $i > $o ).
thf(tp_image2,type,
image2: $i > $i > $i ).
thf(tp_image3,type,
image3: $i > $i > $i > $i ).
thf(tp_increasing,type,
increasing: $i > $i > $i > $i > $i > $o ).
thf(tp_injective,type,
injective: $i > $i > $i > $o ).
thf(tp_intersection,type,
intersection: $i > $i > $i ).
thf(tp_inverse_function,type,
inverse_function: $i > $i > $i > $i ).
thf(tp_inverse_image2,type,
inverse_image2: $i > $i > $i ).
thf(tp_inverse_image3,type,
inverse_image3: $i > $i > $i > $i ).
thf(tp_inverse_predicate,type,
inverse_predicate: $i > $i > $i > $i > $o ).
thf(tp_isomorphism,type,
isomorphism: $i > $i > $i > $i > $i > $o ).
thf(tp_maps,type,
maps: $i > $i > $i > $o ).
thf(tp_member,type,
member: $i > $i > $o ).
thf(tp_one_to_one,type,
one_to_one: $i > $i > $i > $o ).
thf(tp_power_set,type,
power_set: $i > $i ).
thf(tp_product,type,
product: $i > $i ).
thf(tp_sK10_SY210,type,
sK10_SY210: $i > $i > $i > $i > $i > $i ).
thf(tp_sK11_SY205,type,
sK11_SY205: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY157,type,
sK12_SY157: $i > $i > $i > $i ).
thf(tp_sK13_SY218,type,
sK13_SY218: $i > $i > $i > $i ).
thf(tp_sK14_SY220,type,
sK14_SY220: $i > $i > $i > $i ).
thf(tp_sK15_SY183,type,
sK15_SY183: $i > $i > $i > $i > $i > $i ).
thf(tp_sK16_SY221,type,
sK16_SY221: $i > $i > $i > $i > $i > $i ).
thf(tp_sK17_SY224,type,
sK17_SY224: $i > $i > $i > $i > $i > $i ).
thf(tp_sK18_SY226,type,
sK18_SY226: $i > $i > $i > $i > $i > $i ).
thf(tp_sK19_SY157,type,
sK19_SY157: $i > $i > $i > $i > $i ).
thf(tp_sK1_F,type,
sK1_F: $i ).
thf(tp_sK20_SY227,type,
sK20_SY227: $i > $i > $i > $i > $i ).
thf(tp_sK21_SY229,type,
sK21_SY229: $i > $i > $i > $i > $i ).
thf(tp_sK22_SY372,type,
sK22_SY372: $i > $i > $i > $i > $i > $i ).
thf(tp_sK23_SY324,type,
sK23_SY324: $i > $i > $i > $i ).
thf(tp_sK24_SY379,type,
sK24_SY379: $i > $i > $i > $i > $i > $i ).
thf(tp_sK25_SY388,type,
sK25_SY388: $i > $i > $i > $i > $i > $i ).
thf(tp_sK26_SY392,type,
sK26_SY392: $i > $i > $i > $i > $i > $i ).
thf(tp_sK27_SY382,type,
sK27_SY382: $i > $i > $i > $i > $i ).
thf(tp_sK28_SY326,type,
sK28_SY326: $i > $i > $i > $i ).
thf(tp_sK29_SY399,type,
sK29_SY399: $i > $i > $i > $i ).
thf(tp_sK2_SY39,type,
sK2_SY39: $i ).
thf(tp_sK30_SY401,type,
sK30_SY401: $i > $i > $i > $i ).
thf(tp_sK31_SY364,type,
sK31_SY364: $i > $i > $i > $i > $i > $i ).
thf(tp_sK32_SY402,type,
sK32_SY402: $i > $i > $i > $i > $i > $i ).
thf(tp_sK33_SY405,type,
sK33_SY405: $i > $i > $i > $i > $i > $i ).
thf(tp_sK34_SY407,type,
sK34_SY407: $i > $i > $i > $i > $i > $i ).
thf(tp_sK35_SY326,type,
sK35_SY326: $i > $i > $i > $i > $i ).
thf(tp_sK36_SY408,type,
sK36_SY408: $i > $i > $i > $i > $i ).
thf(tp_sK37_SY410,type,
sK37_SY410: $i > $i > $i > $i > $i ).
thf(tp_sK3_SY43,type,
sK3_SY43: $i ).
thf(tp_sK4_SY46,type,
sK4_SY46: $i ).
thf(tp_sK5_SY48,type,
sK5_SY48: $i ).
thf(tp_sK6_SY191,type,
sK6_SY191: $i > $i > $i > $i > $i > $i ).
thf(tp_sK7_SY198,type,
sK7_SY198: $i > $i > $i > $i > $i > $i ).
thf(tp_sK8_SY155,type,
sK8_SY155: $i > $i > $i > $i ).
thf(tp_sK9_SY203,type,
sK9_SY203: $i > $i > $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_surjective,type,
surjective: $i > $i > $i > $o ).
thf(tp_union,type,
union: $i > $i > $i ).
thf(tp_unordered_pair,type,
unordered_pair: $i > $i > $i ).
thf(1,axiom,
! [F: $i,A: $i,R: $i,B: $i,S: $i] :
( ( isomorphism @ F @ A @ R @ B @ S )
<=> ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B )
& ! [X1: $i,Y1: $i,X2: $i,Y2: $i] :
( ( ( member @ X1 @ A )
& ( member @ Y1 @ B )
& ( member @ X2 @ A )
& ( member @ Y2 @ B )
& ( apply @ F @ X1 @ Y1 )
& ( apply @ F @ X2 @ Y2 ) )
=> ( ( apply @ R @ X1 @ X2 )
<=> ( apply @ S @ Y1 @ Y2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isomorphism) ).
thf(3,axiom,
! [F: $i,A: $i,R: $i,B: $i,S: $i] :
( ( increasing @ F @ A @ R @ B @ S )
<=> ! [X1: $i,Y1: $i,X2: $i,Y2: $i] :
( ( ( member @ X1 @ A )
& ( member @ Y1 @ B )
& ( member @ X2 @ A )
& ( member @ Y2 @ B )
& ( apply @ R @ X1 @ X2 )
& ( apply @ F @ X1 @ Y1 )
& ( apply @ F @ X2 @ Y2 ) )
=> ( apply @ S @ Y1 @ Y2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',increasing_function) ).
thf(8,axiom,
! [F: $i,A: $i,B: $i,X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ B ) )
=> ( ( apply @ F @ X @ Y )
<=> ( apply @ ( inverse_function @ F @ A @ B ) @ Y @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_function) ).
thf(10,axiom,
! [F: $i,A: $i,B: $i] :
( ( one_to_one @ F @ A @ B )
<=> ( ( injective @ F @ A @ B )
& ( surjective @ F @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_to_one) ).
thf(17,axiom,
! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ? [Y: $i] :
( ( member @ Y @ B )
& ( apply @ F @ X @ Y ) ) )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( member @ X @ A )
& ( member @ Y1 @ B )
& ( member @ Y2 @ B ) )
=> ( ( ( apply @ F @ X @ Y1 )
& ( apply @ F @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps) ).
thf(29,conjecture,
! [F: $i,A: $i,B: $i,R: $i,S: $i] :
( ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B ) )
=> ( ( isomorphism @ F @ A @ R @ B @ S )
<=> ( ( increasing @ F @ A @ R @ B @ S )
& ( increasing @ ( inverse_function @ F @ A @ B ) @ B @ S @ A @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII41) ).
thf(30,negated_conjecture,
( ( ! [F: $i,A: $i,B: $i,R: $i,S: $i] :
( ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B ) )
=> ( ( isomorphism @ F @ A @ R @ B @ S )
<=> ( ( increasing @ F @ A @ R @ B @ S )
& ( increasing @ ( inverse_function @ F @ A @ B ) @ B @ S @ A @ R ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[29]) ).
thf(31,plain,
( ( ! [F: $i,A: $i,B: $i,R: $i,S: $i] :
( ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B ) )
=> ( ( isomorphism @ F @ A @ R @ B @ S )
<=> ( ( increasing @ F @ A @ R @ B @ S )
& ( increasing @ ( inverse_function @ F @ A @ B ) @ B @ S @ A @ R ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[30]) ).
thf(32,plain,
( ( ! [F: $i,A: $i,R: $i,B: $i,S: $i] :
( ( isomorphism @ F @ A @ R @ B @ S )
<=> ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B )
& ! [X1: $i,Y1: $i,X2: $i,Y2: $i] :
( ( ( member @ X1 @ A )
& ( member @ Y1 @ B )
& ( member @ X2 @ A )
& ( member @ Y2 @ B )
& ( apply @ F @ X1 @ Y1 )
& ( apply @ F @ X2 @ Y2 ) )
=> ( ( apply @ R @ X1 @ X2 )
<=> ( apply @ S @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(33,plain,
( ( ! [F: $i,A: $i,R: $i,B: $i,S: $i] :
( ( increasing @ F @ A @ R @ B @ S )
<=> ! [X1: $i,Y1: $i,X2: $i,Y2: $i] :
( ( ( member @ X1 @ A )
& ( member @ Y1 @ B )
& ( member @ X2 @ A )
& ( member @ Y2 @ B )
& ( apply @ R @ X1 @ X2 )
& ( apply @ F @ X1 @ Y1 )
& ( apply @ F @ X2 @ Y2 ) )
=> ( apply @ S @ Y1 @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(34,plain,
( ( ! [F: $i,A: $i,B: $i,X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ B ) )
=> ( ( apply @ F @ X @ Y )
<=> ( apply @ ( inverse_function @ F @ A @ B ) @ Y @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(35,plain,
( ( ! [F: $i,A: $i,B: $i] :
( ( one_to_one @ F @ A @ B )
<=> ( ( injective @ F @ A @ B )
& ( surjective @ F @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(36,plain,
( ( ! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ? [Y: $i] :
( ( member @ Y @ B )
& ( apply @ F @ X @ Y ) ) )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( member @ X @ A )
& ( member @ Y1 @ B )
& ( member @ Y2 @ B ) )
=> ( ( ( apply @ F @ X @ Y1 )
& ( apply @ F @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(37,plain,
( ( ! [SY39: $i,SY40: $i,SY41: $i,SY42: $i] :
( ( ( maps @ sK1_F @ SY39 @ SY40 )
& ( one_to_one @ sK1_F @ SY39 @ SY40 ) )
=> ( ( isomorphism @ sK1_F @ SY39 @ SY41 @ SY40 @ SY42 )
<=> ( ( increasing @ sK1_F @ SY39 @ SY41 @ SY40 @ SY42 )
& ( increasing @ ( inverse_function @ sK1_F @ SY39 @ SY40 ) @ SY40 @ SY42 @ SY39 @ SY41 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[31]) ).
thf(38,plain,
( ( ! [SY43: $i,SY44: $i,SY45: $i] :
( ( ( maps @ sK1_F @ sK2_SY39 @ SY43 )
& ( one_to_one @ sK1_F @ sK2_SY39 @ SY43 ) )
=> ( ( isomorphism @ sK1_F @ sK2_SY39 @ SY44 @ SY43 @ SY45 )
<=> ( ( increasing @ sK1_F @ sK2_SY39 @ SY44 @ SY43 @ SY45 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ SY43 ) @ SY43 @ SY45 @ sK2_SY39 @ SY44 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(39,plain,
( ( ! [SY46: $i,SY47: $i] :
( ( ( maps @ sK1_F @ sK2_SY39 @ sK3_SY43 )
& ( one_to_one @ sK1_F @ sK2_SY39 @ sK3_SY43 ) )
=> ( ( isomorphism @ sK1_F @ sK2_SY39 @ SY46 @ sK3_SY43 @ SY47 )
<=> ( ( increasing @ sK1_F @ sK2_SY39 @ SY46 @ sK3_SY43 @ SY47 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ SY47 @ sK2_SY39 @ SY46 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(40,plain,
( ( ! [SY48: $i] :
( ( ( maps @ sK1_F @ sK2_SY39 @ sK3_SY43 )
& ( one_to_one @ sK1_F @ sK2_SY39 @ sK3_SY43 ) )
=> ( ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ SY48 )
<=> ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ SY48 @ sK2_SY39 @ sK4_SY46 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(41,plain,
( ( ( ( maps @ sK1_F @ sK2_SY39 @ sK3_SY43 )
& ( one_to_one @ sK1_F @ sK2_SY39 @ sK3_SY43 ) )
=> ( ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
<=> ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(42,plain,
( ( maps @ sK1_F @ sK2_SY39 @ sK3_SY43 )
= $true ),
inference(standard_cnf,[status(thm)],[41]) ).
thf(43,plain,
( ( one_to_one @ sK1_F @ sK2_SY39 @ sK3_SY43 )
= $true ),
inference(standard_cnf,[status(thm)],[41]) ).
thf(44,plain,
( ( ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
<=> ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[41]) ).
thf(45,plain,
( ( ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
=> ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[44]) ).
thf(46,plain,
( ( ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
=> ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[44]) ).
thf(47,plain,
( ( ~ ( ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
=> ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[45]) ).
thf(48,plain,
( ( ~ ( ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
=> ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[46]) ).
thf(49,plain,
( ( ! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ? [Y: $i] :
( ( member @ Y @ B )
& ( apply @ F @ X @ Y ) ) )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( member @ X @ A )
& ( member @ Y1 @ B )
& ( member @ Y2 @ B ) )
=> ( ( ( apply @ F @ X @ Y1 )
& ( apply @ F @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(50,plain,
( ( ! [F: $i,A: $i,B: $i] :
( ( one_to_one @ F @ A @ B )
<=> ( ( injective @ F @ A @ B )
& ( surjective @ F @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(51,plain,
( ( ! [F: $i,A: $i,B: $i,X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ B ) )
=> ( ( apply @ F @ X @ Y )
<=> ( apply @ ( inverse_function @ F @ A @ B ) @ Y @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(52,plain,
( ( ! [F: $i,A: $i,R: $i,B: $i,S: $i] :
( ( increasing @ F @ A @ R @ B @ S )
<=> ! [X1: $i,Y1: $i,X2: $i,Y2: $i] :
( ( ( member @ X1 @ A )
& ( member @ Y1 @ B )
& ( member @ X2 @ A )
& ( member @ Y2 @ B )
& ( apply @ R @ X1 @ X2 )
& ( apply @ F @ X1 @ Y1 )
& ( apply @ F @ X2 @ Y2 ) )
=> ( apply @ S @ Y1 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(53,plain,
( ( ! [F: $i,A: $i,R: $i,B: $i,S: $i] :
( ( isomorphism @ F @ A @ R @ B @ S )
<=> ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B )
& ! [X1: $i,Y1: $i,X2: $i,Y2: $i] :
( ( ( member @ X1 @ A )
& ( member @ Y1 @ B )
& ( member @ X2 @ A )
& ( member @ Y2 @ B )
& ( apply @ F @ X1 @ Y1 )
& ( apply @ F @ X2 @ Y2 ) )
=> ( ( apply @ R @ X1 @ X2 )
<=> ( apply @ S @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(54,plain,
( ( one_to_one @ sK1_F @ sK2_SY39 @ sK3_SY43 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(55,plain,
( ( maps @ sK1_F @ sK2_SY39 @ sK3_SY43 )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(56,plain,
( ( ~ ( ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
=> ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(57,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX2 ) )
| ~ ( ~ ( ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ ( inverse_function @ SX0 @ SX1 @ SX2 ) @ SX4 @ SX3 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SX0 @ SX1 @ SX2 ) @ SX4 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(58,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ( ~ ( isomorphism @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( ~ ~ ( ~ ( maps @ SX0 @ SX1 @ SX3 )
| ~ ( one_to_one @ SX0 @ SX1 @ SX3 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX5 @ SX1 )
| ~ ( member @ SX6 @ SX3 ) )
| ~ ( member @ SX7 @ SX1 ) )
| ~ ( member @ SX8 @ SX3 ) )
| ~ ( apply @ SX0 @ SX5 @ SX6 ) )
| ~ ( apply @ SX0 @ SX7 @ SX8 ) )
| ~ ( ~ ( ~ ( apply @ SX2 @ SX5 @ SX7 )
| ( apply @ SX4 @ SX6 @ SX8 ) )
| ~ ( ~ ( apply @ SX4 @ SX6 @ SX8 )
| ( apply @ SX2 @ SX5 @ SX7 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SX0 @ SX1 @ SX3 )
| ~ ( one_to_one @ SX0 @ SX1 @ SX3 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX5 @ SX1 )
| ~ ( member @ SX6 @ SX3 ) )
| ~ ( member @ SX7 @ SX1 ) )
| ~ ( member @ SX8 @ SX3 ) )
| ~ ( apply @ SX0 @ SX5 @ SX6 ) )
| ~ ( apply @ SX0 @ SX7 @ SX8 ) )
| ~ ( ~ ( ~ ( apply @ SX2 @ SX5 @ SX7 )
| ( apply @ SX4 @ SX6 @ SX8 ) )
| ~ ( ~ ( apply @ SX4 @ SX6 @ SX8 )
| ( apply @ SX2 @ SX5 @ SX7 ) ) ) ) )
| ( isomorphism @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(59,plain,
( ( ~ ( ~ ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(60,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ( ~ ( increasing @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ! [SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX5 @ SX1 )
| ~ ( member @ SX6 @ SX3 ) )
| ~ ( member @ SX7 @ SX1 ) )
| ~ ( member @ SX8 @ SX3 ) )
| ~ ( apply @ SX2 @ SX5 @ SX7 ) )
| ~ ( apply @ SX0 @ SX5 @ SX6 ) )
| ~ ( apply @ SX0 @ SX7 @ SX8 ) )
| ( apply @ SX4 @ SX6 @ SX8 ) ) )
| ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX5 @ SX1 )
| ~ ( member @ SX6 @ SX3 ) )
| ~ ( member @ SX7 @ SX1 ) )
| ~ ( member @ SX8 @ SX3 ) )
| ~ ( apply @ SX2 @ SX5 @ SX7 ) )
| ~ ( apply @ SX0 @ SX5 @ SX6 ) )
| ~ ( apply @ SX0 @ SX7 @ SX8 ) )
| ( apply @ SX4 @ SX6 @ SX8 ) )
| ( increasing @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(61,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( maps @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SX2 )
| ~ ( apply @ SX0 @ SX3 @ SX4 ) ) )
| ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX2 ) )
| ~ ( member @ SX5 @ SX2 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX3 @ SX4 )
| ~ ( apply @ SX0 @ SX3 @ SX5 ) )
| ( SX4 = SX5 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SX2 )
| ~ ( apply @ SX0 @ SX3 @ SX4 ) ) )
| ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX2 ) )
| ~ ( member @ SX5 @ SX2 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX3 @ SX4 )
| ~ ( apply @ SX0 @ SX3 @ SX5 ) )
| ( SX4 = SX5 ) ) )
| ( maps @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(62,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( one_to_one @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( injective @ SX0 @ SX1 @ SX2 )
| ~ ( surjective @ SX0 @ SX1 @ SX2 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SX0 @ SX1 @ SX2 )
| ~ ( surjective @ SX0 @ SX1 @ SX2 ) )
| ( one_to_one @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(63,plain,
! [SV1: $i] :
( ( ! [SY49: $i,SY50: $i,SY51: $i,SY52: $i] :
( ~ ~ ( ~ ( member @ SY51 @ SY49 )
| ~ ( member @ SY52 @ SY50 ) )
| ~ ( ~ ( ~ ( apply @ SV1 @ SY51 @ SY52 )
| ( apply @ ( inverse_function @ SV1 @ SY49 @ SY50 ) @ SY52 @ SY51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SY49 @ SY50 ) @ SY52 @ SY51 )
| ( apply @ SV1 @ SY51 @ SY52 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV2: $i] :
( ( ! [SY53: $i,SY54: $i,SY55: $i,SY56: $i] :
~ ( ~ ( ~ ( isomorphism @ SV2 @ SY53 @ SY54 @ SY55 @ SY56 )
| ~ ( ~ ~ ( ~ ( maps @ SV2 @ SY53 @ SY55 )
| ~ ( one_to_one @ SV2 @ SY53 @ SY55 ) )
| ~ ! [SY57: $i,SY58: $i,SY59: $i,SY60: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY57 @ SY53 )
| ~ ( member @ SY58 @ SY55 ) )
| ~ ( member @ SY59 @ SY53 ) )
| ~ ( member @ SY60 @ SY55 ) )
| ~ ( apply @ SV2 @ SY57 @ SY58 ) )
| ~ ( apply @ SV2 @ SY59 @ SY60 ) )
| ~ ( ~ ( ~ ( apply @ SY54 @ SY57 @ SY59 )
| ( apply @ SY56 @ SY58 @ SY60 ) )
| ~ ( ~ ( apply @ SY56 @ SY58 @ SY60 )
| ( apply @ SY54 @ SY57 @ SY59 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SY53 @ SY55 )
| ~ ( one_to_one @ SV2 @ SY53 @ SY55 ) )
| ~ ! [SY61: $i,SY62: $i,SY63: $i,SY64: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY61 @ SY53 )
| ~ ( member @ SY62 @ SY55 ) )
| ~ ( member @ SY63 @ SY53 ) )
| ~ ( member @ SY64 @ SY55 ) )
| ~ ( apply @ SV2 @ SY61 @ SY62 ) )
| ~ ( apply @ SV2 @ SY63 @ SY64 ) )
| ~ ( ~ ( ~ ( apply @ SY54 @ SY61 @ SY63 )
| ( apply @ SY56 @ SY62 @ SY64 ) )
| ~ ( ~ ( apply @ SY56 @ SY62 @ SY64 )
| ( apply @ SY54 @ SY61 @ SY63 ) ) ) ) )
| ( isomorphism @ SV2 @ SY53 @ SY54 @ SY55 @ SY56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(65,plain,
( ( ~ ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV3: $i] :
( ( ! [SY65: $i,SY66: $i,SY67: $i,SY68: $i] :
~ ( ~ ( ~ ( increasing @ SV3 @ SY65 @ SY66 @ SY67 @ SY68 )
| ! [SY69: $i,SY70: $i,SY71: $i,SY72: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY69 @ SY65 )
| ~ ( member @ SY70 @ SY67 ) )
| ~ ( member @ SY71 @ SY65 ) )
| ~ ( member @ SY72 @ SY67 ) )
| ~ ( apply @ SY66 @ SY69 @ SY71 ) )
| ~ ( apply @ SV3 @ SY69 @ SY70 ) )
| ~ ( apply @ SV3 @ SY71 @ SY72 ) )
| ( apply @ SY68 @ SY70 @ SY72 ) ) )
| ~ ( ~ ! [SY73: $i,SY74: $i,SY75: $i,SY76: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY73 @ SY65 )
| ~ ( member @ SY74 @ SY67 ) )
| ~ ( member @ SY75 @ SY65 ) )
| ~ ( member @ SY76 @ SY67 ) )
| ~ ( apply @ SY66 @ SY73 @ SY75 ) )
| ~ ( apply @ SV3 @ SY73 @ SY74 ) )
| ~ ( apply @ SV3 @ SY75 @ SY76 ) )
| ( apply @ SY68 @ SY74 @ SY76 ) )
| ( increasing @ SV3 @ SY65 @ SY66 @ SY67 @ SY68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(67,plain,
! [SV4: $i] :
( ( ! [SY77: $i,SY78: $i] :
~ ( ~ ( ~ ( maps @ SV4 @ SY77 @ SY78 )
| ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SY77 )
| ~ ! [SY80: $i] :
~ ~ ( ~ ( member @ SY80 @ SY78 )
| ~ ( apply @ SV4 @ SY79 @ SY80 ) ) )
| ~ ! [SY81: $i,SY82: $i,SY83: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY81 @ SY77 )
| ~ ( member @ SY82 @ SY78 ) )
| ~ ( member @ SY83 @ SY78 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY81 @ SY82 )
| ~ ( apply @ SV4 @ SY81 @ SY83 ) )
| ( SY82 = SY83 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY84: $i] :
( ~ ( member @ SY84 @ SY77 )
| ~ ! [SY85: $i] :
~ ~ ( ~ ( member @ SY85 @ SY78 )
| ~ ( apply @ SV4 @ SY84 @ SY85 ) ) )
| ~ ! [SY86: $i,SY87: $i,SY88: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY86 @ SY77 )
| ~ ( member @ SY87 @ SY78 ) )
| ~ ( member @ SY88 @ SY78 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY86 @ SY87 )
| ~ ( apply @ SV4 @ SY86 @ SY88 ) )
| ( SY87 = SY88 ) ) )
| ( maps @ SV4 @ SY77 @ SY78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV5: $i] :
( ( ! [SY89: $i,SY90: $i] :
~ ( ~ ( ~ ( one_to_one @ SV5 @ SY89 @ SY90 )
| ~ ( ~ ( injective @ SV5 @ SY89 @ SY90 )
| ~ ( surjective @ SV5 @ SY89 @ SY90 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SV5 @ SY89 @ SY90 )
| ~ ( surjective @ SV5 @ SY89 @ SY90 ) )
| ( one_to_one @ SV5 @ SY89 @ SY90 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(69,plain,
! [SV1: $i,SV6: $i] :
( ( ! [SY91: $i,SY92: $i,SY93: $i] :
( ~ ~ ( ~ ( member @ SY92 @ SV6 )
| ~ ( member @ SY93 @ SY91 ) )
| ~ ( ~ ( ~ ( apply @ SV1 @ SY92 @ SY93 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SY91 ) @ SY93 @ SY92 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SY91 ) @ SY93 @ SY92 )
| ( apply @ SV1 @ SY92 @ SY93 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(70,plain,
! [SV7: $i,SV2: $i] :
( ( ! [SY94: $i,SY95: $i,SY96: $i] :
~ ( ~ ( ~ ( isomorphism @ SV2 @ SV7 @ SY94 @ SY95 @ SY96 )
| ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SY95 )
| ~ ( one_to_one @ SV2 @ SV7 @ SY95 ) )
| ~ ! [SY97: $i,SY98: $i,SY99: $i,SY100: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY97 @ SV7 )
| ~ ( member @ SY98 @ SY95 ) )
| ~ ( member @ SY99 @ SV7 ) )
| ~ ( member @ SY100 @ SY95 ) )
| ~ ( apply @ SV2 @ SY97 @ SY98 ) )
| ~ ( apply @ SV2 @ SY99 @ SY100 ) )
| ~ ( ~ ( ~ ( apply @ SY94 @ SY97 @ SY99 )
| ( apply @ SY96 @ SY98 @ SY100 ) )
| ~ ( ~ ( apply @ SY96 @ SY98 @ SY100 )
| ( apply @ SY94 @ SY97 @ SY99 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SY95 )
| ~ ( one_to_one @ SV2 @ SV7 @ SY95 ) )
| ~ ! [SY101: $i,SY102: $i,SY103: $i,SY104: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY101 @ SV7 )
| ~ ( member @ SY102 @ SY95 ) )
| ~ ( member @ SY103 @ SV7 ) )
| ~ ( member @ SY104 @ SY95 ) )
| ~ ( apply @ SV2 @ SY101 @ SY102 ) )
| ~ ( apply @ SV2 @ SY103 @ SY104 ) )
| ~ ( ~ ( ~ ( apply @ SY94 @ SY101 @ SY103 )
| ( apply @ SY96 @ SY102 @ SY104 ) )
| ~ ( ~ ( apply @ SY96 @ SY102 @ SY104 )
| ( apply @ SY94 @ SY101 @ SY103 ) ) ) ) )
| ( isomorphism @ SV2 @ SV7 @ SY94 @ SY95 @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(71,plain,
( ( ~ ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(72,plain,
( ( ~ ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(73,plain,
! [SV8: $i,SV3: $i] :
( ( ! [SY105: $i,SY106: $i,SY107: $i] :
~ ( ~ ( ~ ( increasing @ SV3 @ SV8 @ SY105 @ SY106 @ SY107 )
| ! [SY108: $i,SY109: $i,SY110: $i,SY111: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY108 @ SV8 )
| ~ ( member @ SY109 @ SY106 ) )
| ~ ( member @ SY110 @ SV8 ) )
| ~ ( member @ SY111 @ SY106 ) )
| ~ ( apply @ SY105 @ SY108 @ SY110 ) )
| ~ ( apply @ SV3 @ SY108 @ SY109 ) )
| ~ ( apply @ SV3 @ SY110 @ SY111 ) )
| ( apply @ SY107 @ SY109 @ SY111 ) ) )
| ~ ( ~ ! [SY112: $i,SY113: $i,SY114: $i,SY115: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY112 @ SV8 )
| ~ ( member @ SY113 @ SY106 ) )
| ~ ( member @ SY114 @ SV8 ) )
| ~ ( member @ SY115 @ SY106 ) )
| ~ ( apply @ SY105 @ SY112 @ SY114 ) )
| ~ ( apply @ SV3 @ SY112 @ SY113 ) )
| ~ ( apply @ SV3 @ SY114 @ SY115 ) )
| ( apply @ SY107 @ SY113 @ SY115 ) )
| ( increasing @ SV3 @ SV8 @ SY105 @ SY106 @ SY107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV9: $i,SV4: $i] :
( ( ! [SY116: $i] :
~ ( ~ ( ~ ( maps @ SV4 @ SV9 @ SY116 )
| ~ ( ~ ! [SY117: $i] :
( ~ ( member @ SY117 @ SV9 )
| ~ ! [SY80: $i] :
~ ~ ( ~ ( member @ SY80 @ SY116 )
| ~ ( apply @ SV4 @ SY117 @ SY80 ) ) )
| ~ ! [SY119: $i,SY120: $i,SY121: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY119 @ SV9 )
| ~ ( member @ SY120 @ SY116 ) )
| ~ ( member @ SY121 @ SY116 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY119 @ SY120 )
| ~ ( apply @ SV4 @ SY119 @ SY121 ) )
| ( SY120 = SY121 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY122: $i] :
( ~ ( member @ SY122 @ SV9 )
| ~ ! [SY85: $i] :
~ ~ ( ~ ( member @ SY85 @ SY116 )
| ~ ( apply @ SV4 @ SY122 @ SY85 ) ) )
| ~ ! [SY124: $i,SY125: $i,SY126: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY124 @ SV9 )
| ~ ( member @ SY125 @ SY116 ) )
| ~ ( member @ SY126 @ SY116 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY124 @ SY125 )
| ~ ( apply @ SV4 @ SY124 @ SY126 ) )
| ( SY125 = SY126 ) ) )
| ( maps @ SV4 @ SV9 @ SY116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV10: $i,SV5: $i] :
( ( ! [SY127: $i] :
~ ( ~ ( ~ ( one_to_one @ SV5 @ SV10 @ SY127 )
| ~ ( ~ ( injective @ SV5 @ SV10 @ SY127 )
| ~ ( surjective @ SV5 @ SV10 @ SY127 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SV5 @ SV10 @ SY127 )
| ~ ( surjective @ SV5 @ SV10 @ SY127 ) )
| ( one_to_one @ SV5 @ SV10 @ SY127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV1: $i,SV11: $i,SV6: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ~ ~ ( ~ ( member @ SY128 @ SV6 )
| ~ ( member @ SY129 @ SV11 ) )
| ~ ( ~ ( ~ ( apply @ SV1 @ SY128 @ SY129 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SY129 @ SY128 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SY129 @ SY128 )
| ( apply @ SV1 @ SY128 @ SY129 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(77,plain,
! [SV12: $i,SV7: $i,SV2: $i] :
( ( ! [SY130: $i,SY131: $i] :
~ ( ~ ( ~ ( isomorphism @ SV2 @ SV7 @ SV12 @ SY130 @ SY131 )
| ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SY130 )
| ~ ( one_to_one @ SV2 @ SV7 @ SY130 ) )
| ~ ! [SY132: $i,SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY132 @ SV7 )
| ~ ( member @ SY133 @ SY130 ) )
| ~ ( member @ SY134 @ SV7 ) )
| ~ ( member @ SY135 @ SY130 ) )
| ~ ( apply @ SV2 @ SY132 @ SY133 ) )
| ~ ( apply @ SV2 @ SY134 @ SY135 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY132 @ SY134 )
| ( apply @ SY131 @ SY133 @ SY135 ) )
| ~ ( ~ ( apply @ SY131 @ SY133 @ SY135 )
| ( apply @ SV12 @ SY132 @ SY134 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SY130 )
| ~ ( one_to_one @ SV2 @ SV7 @ SY130 ) )
| ~ ! [SY136: $i,SY137: $i,SY138: $i,SY139: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY136 @ SV7 )
| ~ ( member @ SY137 @ SY130 ) )
| ~ ( member @ SY138 @ SV7 ) )
| ~ ( member @ SY139 @ SY130 ) )
| ~ ( apply @ SV2 @ SY136 @ SY137 ) )
| ~ ( apply @ SV2 @ SY138 @ SY139 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY136 @ SY138 )
| ( apply @ SY131 @ SY137 @ SY139 ) )
| ~ ( ~ ( apply @ SY131 @ SY137 @ SY139 )
| ( apply @ SV12 @ SY136 @ SY138 ) ) ) ) )
| ( isomorphism @ SV2 @ SV7 @ SV12 @ SY130 @ SY131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(78,plain,
( ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(79,plain,
( ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV13: $i,SV8: $i,SV3: $i] :
( ( ! [SY140: $i,SY141: $i] :
~ ( ~ ( ~ ( increasing @ SV3 @ SV8 @ SV13 @ SY140 @ SY141 )
| ! [SY142: $i,SY143: $i,SY144: $i,SY145: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY142 @ SV8 )
| ~ ( member @ SY143 @ SY140 ) )
| ~ ( member @ SY144 @ SV8 ) )
| ~ ( member @ SY145 @ SY140 ) )
| ~ ( apply @ SV13 @ SY142 @ SY144 ) )
| ~ ( apply @ SV3 @ SY142 @ SY143 ) )
| ~ ( apply @ SV3 @ SY144 @ SY145 ) )
| ( apply @ SY141 @ SY143 @ SY145 ) ) )
| ~ ( ~ ! [SY146: $i,SY147: $i,SY148: $i,SY149: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY146 @ SV8 )
| ~ ( member @ SY147 @ SY140 ) )
| ~ ( member @ SY148 @ SV8 ) )
| ~ ( member @ SY149 @ SY140 ) )
| ~ ( apply @ SV13 @ SY146 @ SY148 ) )
| ~ ( apply @ SV3 @ SY146 @ SY147 ) )
| ~ ( apply @ SV3 @ SY148 @ SY149 ) )
| ( apply @ SY141 @ SY147 @ SY149 ) )
| ( increasing @ SV3 @ SV8 @ SV13 @ SY140 @ SY141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(81,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( maps @ SV4 @ SV9 @ SV14 )
| ~ ( ~ ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) )
| ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
| ( maps @ SV4 @ SV9 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(82,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( one_to_one @ SV5 @ SV10 @ SV15 )
| ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
| ( one_to_one @ SV5 @ SV10 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV1: $i,SV11: $i,SV6: $i,SV16: $i] :
( ( ! [SY160: $i] :
( ~ ~ ( ~ ( member @ SV16 @ SV6 )
| ~ ( member @ SY160 @ SV11 ) )
| ~ ( ~ ( ~ ( apply @ SV1 @ SV16 @ SY160 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SY160 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SY160 @ SV16 )
| ( apply @ SV1 @ SV16 @ SY160 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(84,plain,
! [SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ! [SY161: $i] :
~ ( ~ ( ~ ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SY161 )
| ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY162: $i,SY163: $i,SY164: $i,SY165: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY162 @ SV7 )
| ~ ( member @ SY163 @ SV17 ) )
| ~ ( member @ SY164 @ SV7 ) )
| ~ ( member @ SY165 @ SV17 ) )
| ~ ( apply @ SV2 @ SY162 @ SY163 ) )
| ~ ( apply @ SV2 @ SY164 @ SY165 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY162 @ SY164 )
| ( apply @ SY161 @ SY163 @ SY165 ) )
| ~ ( ~ ( apply @ SY161 @ SY163 @ SY165 )
| ( apply @ SV12 @ SY162 @ SY164 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY166: $i,SY167: $i,SY168: $i,SY169: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY166 @ SV7 )
| ~ ( member @ SY167 @ SV17 ) )
| ~ ( member @ SY168 @ SV7 ) )
| ~ ( member @ SY169 @ SV17 ) )
| ~ ( apply @ SV2 @ SY166 @ SY167 ) )
| ~ ( apply @ SV2 @ SY168 @ SY169 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY166 @ SY168 )
| ( apply @ SY161 @ SY167 @ SY169 ) )
| ~ ( ~ ( apply @ SY161 @ SY167 @ SY169 )
| ( apply @ SV12 @ SY166 @ SY168 ) ) ) ) )
| ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SY161 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(85,plain,
( ( ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 ) )
= $true )
| ( ( ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ! [SY170: $i] :
~ ( ~ ( ~ ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SY170 )
| ! [SY171: $i,SY172: $i,SY173: $i,SY174: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY171 @ SV8 )
| ~ ( member @ SY172 @ SV18 ) )
| ~ ( member @ SY173 @ SV8 ) )
| ~ ( member @ SY174 @ SV18 ) )
| ~ ( apply @ SV13 @ SY171 @ SY173 ) )
| ~ ( apply @ SV3 @ SY171 @ SY172 ) )
| ~ ( apply @ SV3 @ SY173 @ SY174 ) )
| ( apply @ SY170 @ SY172 @ SY174 ) ) )
| ~ ( ~ ! [SY175: $i,SY176: $i,SY177: $i,SY178: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY175 @ SV8 )
| ~ ( member @ SY176 @ SV18 ) )
| ~ ( member @ SY177 @ SV8 ) )
| ~ ( member @ SY178 @ SV18 ) )
| ~ ( apply @ SV13 @ SY175 @ SY177 ) )
| ~ ( apply @ SV3 @ SY175 @ SY176 ) )
| ~ ( apply @ SV3 @ SY177 @ SY178 ) )
| ( apply @ SY170 @ SY176 @ SY178 ) )
| ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SY170 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ~ ( ~ ( maps @ SV4 @ SV9 @ SV14 )
| ~ ( ~ ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) )
| ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
| ( maps @ SV4 @ SV9 @ SV14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ~ ( ~ ( one_to_one @ SV5 @ SV10 @ SV15 )
| ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
| ( one_to_one @ SV5 @ SV10 @ SV15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV1: $i,SV11: $i,SV19: $i,SV6: $i,SV16: $i] :
( ( ~ ~ ( ~ ( member @ SV16 @ SV6 )
| ~ ( member @ SV19 @ SV11 ) )
| ~ ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(90,plain,
! [SV20: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
| ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
| ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(91,plain,
( ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
= $false )
| ( ( ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(92,plain,
! [SV21: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
| ! [SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY187 @ SV8 )
| ~ ( member @ SY188 @ SV18 ) )
| ~ ( member @ SY189 @ SV8 ) )
| ~ ( member @ SY190 @ SV18 ) )
| ~ ( apply @ SV13 @ SY187 @ SY189 ) )
| ~ ( apply @ SV3 @ SY187 @ SY188 ) )
| ~ ( apply @ SV3 @ SY189 @ SY190 ) )
| ( apply @ SV21 @ SY188 @ SY190 ) ) )
| ~ ( ~ ! [SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY191 @ SV8 )
| ~ ( member @ SY192 @ SV18 ) )
| ~ ( member @ SY193 @ SV8 ) )
| ~ ( member @ SY194 @ SV18 ) )
| ~ ( apply @ SV13 @ SY191 @ SY193 ) )
| ~ ( apply @ SV3 @ SY191 @ SY192 ) )
| ~ ( apply @ SV3 @ SY193 @ SY194 ) )
| ( apply @ SV21 @ SY192 @ SY194 ) )
| ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(93,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ~ ( ~ ( maps @ SV4 @ SV9 @ SV14 )
| ~ ( ~ ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(94,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) )
| ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
| ( maps @ SV4 @ SV9 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(95,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ~ ( ~ ( one_to_one @ SV5 @ SV10 @ SV15 )
| ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(96,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ~ ( ~ ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
| ( one_to_one @ SV5 @ SV10 @ SV15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(97,plain,
! [SV1: $i,SV11: $i,SV19: $i,SV6: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( member @ SV16 @ SV6 )
| ~ ( member @ SV19 @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV20: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ~ ( ~ ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
| ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
| ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(99,plain,
( ( ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 )
= $false )
| ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(100,plain,
! [SV21: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ~ ( ~ ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
| ! [SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY187 @ SV8 )
| ~ ( member @ SY188 @ SV18 ) )
| ~ ( member @ SY189 @ SV8 ) )
| ~ ( member @ SY190 @ SV18 ) )
| ~ ( apply @ SV13 @ SY187 @ SY189 ) )
| ~ ( apply @ SV3 @ SY187 @ SY188 ) )
| ~ ( apply @ SV3 @ SY189 @ SY190 ) )
| ( apply @ SV21 @ SY188 @ SY190 ) ) )
| ~ ( ~ ! [SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY191 @ SV8 )
| ~ ( member @ SY192 @ SV18 ) )
| ~ ( member @ SY193 @ SV8 ) )
| ~ ( member @ SY194 @ SV18 ) )
| ~ ( apply @ SV13 @ SY191 @ SY193 ) )
| ~ ( apply @ SV3 @ SY191 @ SY192 ) )
| ~ ( apply @ SV3 @ SY193 @ SY194 ) )
| ( apply @ SV21 @ SY192 @ SY194 ) )
| ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(101,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ~ ( maps @ SV4 @ SV9 @ SV14 )
| ~ ( ~ ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(102,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) )
| ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
| ( maps @ SV4 @ SV9 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(103,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ~ ( one_to_one @ SV5 @ SV10 @ SV15 )
| ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(104,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ~ ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
| ( one_to_one @ SV5 @ SV10 @ SV15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(105,plain,
! [SV1: $i,SV11: $i,SV19: $i,SV6: $i,SV16: $i] :
( ( ( ~ ( ~ ( member @ SV16 @ SV6 )
| ~ ( member @ SV19 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(106,plain,
! [SV20: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ~ ( ~ ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
| ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(107,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
| ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(108,plain,
! [SV21: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ~ ( ~ ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
| ! [SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY187 @ SV8 )
| ~ ( member @ SY188 @ SV18 ) )
| ~ ( member @ SY189 @ SV8 ) )
| ~ ( member @ SY190 @ SV18 ) )
| ~ ( apply @ SV13 @ SY187 @ SY189 ) )
| ~ ( apply @ SV3 @ SY187 @ SY188 ) )
| ~ ( apply @ SV3 @ SY189 @ SY190 ) )
| ( apply @ SV21 @ SY188 @ SY190 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(109,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ~ ( ~ ! [SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY191 @ SV8 )
| ~ ( member @ SY192 @ SV18 ) )
| ~ ( member @ SY193 @ SV8 ) )
| ~ ( member @ SY194 @ SV18 ) )
| ~ ( apply @ SV13 @ SY191 @ SY193 ) )
| ~ ( apply @ SV3 @ SY191 @ SY192 ) )
| ~ ( apply @ SV3 @ SY193 @ SY194 ) )
| ( apply @ SV21 @ SY192 @ SY194 ) )
| ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(110,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ( ~ ( maps @ SV4 @ SV9 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(111,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) )
| ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(112,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( one_to_one @ SV5 @ SV10 @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(113,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) ) )
= $true )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(114,plain,
! [SV1: $i,SV11: $i,SV19: $i,SV6: $i,SV16: $i] :
( ( ( ~ ( member @ SV16 @ SV6 )
| ~ ( member @ SV19 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(115,plain,
! [SV20: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ~ ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
| ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(116,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
| ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(117,plain,
! [SV21: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ~ ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
| ! [SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY187 @ SV8 )
| ~ ( member @ SY188 @ SV18 ) )
| ~ ( member @ SY189 @ SV8 ) )
| ~ ( member @ SY190 @ SV18 ) )
| ~ ( apply @ SV13 @ SY187 @ SY189 ) )
| ~ ( apply @ SV3 @ SY187 @ SY188 ) )
| ~ ( apply @ SV3 @ SY189 @ SY190 ) )
| ( apply @ SV21 @ SY188 @ SY190 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(118,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ~ ! [SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY191 @ SV8 )
| ~ ( member @ SY192 @ SV18 ) )
| ~ ( member @ SY193 @ SV8 ) )
| ~ ( member @ SY194 @ SV18 ) )
| ~ ( apply @ SV13 @ SY191 @ SY193 ) )
| ~ ( apply @ SV3 @ SY191 @ SY192 ) )
| ~ ( apply @ SV3 @ SY193 @ SY194 ) )
| ( apply @ SV21 @ SY192 @ SY194 ) )
| ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(119,plain,
! [SV14: $i,SV9: $i,SV4: $i] :
( ( ( maps @ SV4 @ SV9 @ SV14 )
= $false )
| ( ( ~ ( ~ ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(120,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( ~ ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) )
| ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) ) )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(121,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $false )
| ( ( ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(122,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) ) )
= $false )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(123,plain,
! [SV1: $i,SV11: $i,SV19: $i,SV6: $i,SV16: $i] :
( ( ( ~ ( member @ SV16 @ SV6 ) )
= $true )
| ( ( ~ ( member @ SV19 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(124,plain,
! [SV20: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(125,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(126,plain,
! [SV21: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 ) )
= $true )
| ( ( ! [SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY187 @ SV8 )
| ~ ( member @ SY188 @ SV18 ) )
| ~ ( member @ SY189 @ SV8 ) )
| ~ ( member @ SY190 @ SV18 ) )
| ~ ( apply @ SV13 @ SY187 @ SY189 ) )
| ~ ( apply @ SV3 @ SY187 @ SY188 ) )
| ~ ( apply @ SV3 @ SY189 @ SY190 ) )
| ( apply @ SV21 @ SY188 @ SY190 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(127,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ( ~ ! [SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY191 @ SV8 )
| ~ ( member @ SY192 @ SV18 ) )
| ~ ( member @ SY193 @ SV8 ) )
| ~ ( member @ SY194 @ SV18 ) )
| ~ ( apply @ SV13 @ SY191 @ SY193 ) )
| ~ ( apply @ SV3 @ SY191 @ SY192 ) )
| ~ ( apply @ SV3 @ SY193 @ SY194 ) )
| ( apply @ SV21 @ SY192 @ SY194 ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(128,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) )
| ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) )
| ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(130,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
= $false )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(131,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( injective @ SV5 @ SV10 @ SV15 )
| ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
= $true )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(132,plain,
! [SV1: $i,SV11: $i,SV19: $i,SV6: $i,SV16: $i] :
( ( ( member @ SV16 @ SV6 )
= $false )
| ( ( ~ ( member @ SV19 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(133,plain,
! [SV20: $i,SV17: $i,SV12: $i,SV7: $i,SV2: $i] :
( ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(134,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) ) )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(135,plain,
! [SV21: $i,SV18: $i,SV13: $i,SV8: $i,SV3: $i] :
( ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false )
| ( ( ! [SY187: $i,SY188: $i,SY189: $i,SY190: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY187 @ SV8 )
| ~ ( member @ SY188 @ SV18 ) )
| ~ ( member @ SY189 @ SV8 ) )
| ~ ( member @ SY190 @ SV18 ) )
| ~ ( apply @ SV13 @ SY187 @ SY189 ) )
| ~ ( apply @ SV3 @ SY187 @ SY188 ) )
| ~ ( apply @ SV3 @ SY189 @ SY190 ) )
| ( apply @ SV21 @ SY188 @ SY190 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(136,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ( ! [SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY191 @ SV8 )
| ~ ( member @ SY192 @ SV18 ) )
| ~ ( member @ SY193 @ SV8 ) )
| ~ ( member @ SY194 @ SV18 ) )
| ~ ( apply @ SV13 @ SY191 @ SY193 ) )
| ~ ( apply @ SV3 @ SY191 @ SY192 ) )
| ~ ( apply @ SV3 @ SY193 @ SY194 ) )
| ( apply @ SV21 @ SY192 @ SY194 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(137,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) ) )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(138,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(139,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) ) )
= $true )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(140,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( injective @ SV5 @ SV10 @ SV15 ) )
= $false )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(141,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
= $false )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(142,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( ~ ( injective @ SV5 @ SV10 @ SV15 ) )
= $true )
| ( ( ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
= $true )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(143,plain,
! [SV1: $i,SV6: $i,SV16: $i,SV11: $i,SV19: $i] :
( ( ( member @ SV19 @ SV11 )
= $false )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( ~ ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(145,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
| ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(146,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i,SV22: $i] :
( ( ( ! [SY195: $i,SY196: $i,SY197: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SY195 @ SV18 ) )
| ~ ( member @ SY196 @ SV8 ) )
| ~ ( member @ SY197 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SY196 ) )
| ~ ( apply @ SV3 @ SV22 @ SY195 ) )
| ~ ( apply @ SV3 @ SY196 @ SY197 ) )
| ( apply @ SV21 @ SY195 @ SY197 ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(147,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ! [SY198: $i,SY199: $i,SY200: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ SY198 @ SV18 ) )
| ~ ( member @ SY199 @ SV8 ) )
| ~ ( member @ SY200 @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SY199 ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SY198 ) )
| ~ ( apply @ SV3 @ SY199 @ SY200 ) )
| ( apply @ SV21 @ SY198 @ SY200 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(148,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ! [SY150: $i] :
( ~ ( member @ SY150 @ SV9 )
| ~ ! [SY151: $i] :
~ ~ ( ~ ( member @ SY151 @ SV14 )
| ~ ( apply @ SV4 @ SY150 @ SY151 ) ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(149,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ! [SY152: $i,SY153: $i,SY154: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY152 @ SV9 )
| ~ ( member @ SY153 @ SV14 ) )
| ~ ( member @ SY154 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY152 @ SY153 )
| ~ ( apply @ SV4 @ SY152 @ SY154 ) )
| ( SY153 = SY154 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(150,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ! [SY155: $i] :
( ~ ( member @ SY155 @ SV9 )
| ~ ! [SY156: $i] :
~ ~ ( ~ ( member @ SY156 @ SV14 )
| ~ ( apply @ SV4 @ SY155 @ SY156 ) ) ) )
= $false )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(151,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( injective @ SV5 @ SV10 @ SV15 )
= $true )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(152,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( surjective @ SV5 @ SV10 @ SV15 )
= $true )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(153,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( injective @ SV5 @ SV10 @ SV15 )
= $false )
| ( ( ~ ( surjective @ SV5 @ SV10 @ SV15 ) )
= $true )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(154,plain,
! [SV11: $i,SV6: $i,SV19: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) )
= $false )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) ) )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(156,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( ~ ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(157,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) ) )
= $true )
| ( ( ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(158,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ! [SY201: $i,SY202: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SY201 @ SV8 ) )
| ~ ( member @ SY202 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SY201 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) )
| ~ ( apply @ SV3 @ SY201 @ SY202 ) )
| ( apply @ SV21 @ SV23 @ SY202 ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(159,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ! [SY203: $i,SY204: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ SY203 @ SV8 ) )
| ~ ( member @ SY204 @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SY203 ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ SY203 @ SY204 ) )
| ( apply @ SV21 @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SY204 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[147]) ).
thf(160,plain,
! [SV4: $i,SV14: $i,SV9: $i,SV24: $i] :
( ( ( ~ ( member @ SV24 @ SV9 )
| ~ ! [SY205: $i] :
~ ~ ( ~ ( member @ SY205 @ SV14 )
| ~ ( apply @ SV4 @ SV24 @ SY205 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(161,plain,
! [SV4: $i,SV14: $i,SV9: $i,SV25: $i] :
( ( ( ! [SY206: $i,SY207: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SY206 @ SV14 ) )
| ~ ( member @ SY207 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SY206 )
| ~ ( apply @ SV4 @ SV25 @ SY207 ) )
| ( SY206 = SY207 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(162,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ! [SY208: $i] :
~ ~ ( ~ ( member @ SY208 @ SV14 )
| ~ ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SY208 ) ) )
= $false )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(163,plain,
! [SV15: $i,SV10: $i,SV5: $i] :
( ( ( surjective @ SV5 @ SV10 @ SV15 )
= $false )
| ( ( injective @ SV5 @ SV10 @ SV15 )
= $false )
| ( ( one_to_one @ SV5 @ SV10 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(164,plain,
! [SV11: $i,SV6: $i,SV19: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) ) )
= $false )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(165,plain,
! [SV16: $i,SV19: $i,SV11: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) ) )
= $false )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(166,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(167,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( ! [SY179: $i,SY180: $i,SY181: $i,SY182: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY179 @ SV7 )
| ~ ( member @ SY180 @ SV17 ) )
| ~ ( member @ SY181 @ SV7 ) )
| ~ ( member @ SY182 @ SV17 ) )
| ~ ( apply @ SV2 @ SY179 @ SY180 ) )
| ~ ( apply @ SV2 @ SY181 @ SY182 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY179 @ SY181 )
| ( apply @ SV20 @ SY180 @ SY182 ) )
| ~ ( ~ ( apply @ SV20 @ SY180 @ SY182 )
| ( apply @ SV12 @ SY179 @ SY181 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(168,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(169,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ! [SY209: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SY209 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) )
| ~ ( apply @ SV3 @ SV26 @ SY209 ) )
| ( apply @ SV21 @ SV23 @ SY209 ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(170,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ! [SY210: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ SY210 @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SY210 ) )
| ( apply @ SV21 @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SY210 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[159]) ).
thf(171,plain,
! [SV4: $i,SV14: $i,SV9: $i,SV24: $i] :
( ( ( ~ ( member @ SV24 @ SV9 ) )
= $true )
| ( ( ~ ! [SY205: $i] :
~ ~ ( ~ ( member @ SY205 @ SV14 )
| ~ ( apply @ SV4 @ SV24 @ SY205 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(172,plain,
! [SV4: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ! [SY211: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SV27 @ SV14 ) )
| ~ ( member @ SY211 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SY211 ) )
| ( SV27 = SY211 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 ) )
= $false )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(174,plain,
! [SV9: $i,SV4: $i,SV14: $i] :
( ( ( ~ ! [SY208: $i] :
~ ~ ( ~ ( member @ SY208 @ SV14 )
| ~ ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SY208 ) ) )
= $false )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(175,plain,
! [SV11: $i,SV6: $i,SV19: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( apply @ SV1 @ SV16 @ SV19 )
| ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
= $true )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(176,plain,
! [SV16: $i,SV19: $i,SV11: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
| ( apply @ SV1 @ SV16 @ SV19 ) )
= $true )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(177,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(178,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i,SV28: $i] :
( ( ( ! [SY212: $i,SY213: $i,SY214: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SY212 @ SV17 ) )
| ~ ( member @ SY213 @ SV7 ) )
| ~ ( member @ SY214 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SY212 ) )
| ~ ( apply @ SV2 @ SY213 @ SY214 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SY213 )
| ( apply @ SV20 @ SY212 @ SY214 ) )
| ~ ( ~ ( apply @ SV20 @ SY212 @ SY214 )
| ( apply @ SV12 @ SV28 @ SY213 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(179,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( maps @ SV2 @ SV7 @ SV17 )
| ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(180,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) )
| ~ ( apply @ SV3 @ SV26 @ SV29 ) )
| ( apply @ SV21 @ SV23 @ SV29 ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(181,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ( apply @ SV21 @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[170]) ).
thf(182,plain,
! [SV4: $i,SV14: $i,SV9: $i,SV24: $i] :
( ( ( member @ SV24 @ SV9 )
= $false )
| ( ( ~ ! [SY205: $i] :
~ ~ ( ~ ( member @ SY205 @ SV14 )
| ~ ( apply @ SV4 @ SV24 @ SY205 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(183,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SV27 @ SV14 ) )
| ~ ( member @ SV30 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(184,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(185,plain,
! [SV9: $i,SV4: $i,SV14: $i] :
( ( ( ! [SY208: $i] :
~ ~ ( ~ ( member @ SY208 @ SV14 )
| ~ ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SY208 ) ) )
= $true )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(186,plain,
! [SV11: $i,SV6: $i,SV19: $i,SV16: $i,SV1: $i] :
( ( ( ~ ( apply @ SV1 @ SV16 @ SV19 ) )
= $true )
| ( ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
= $true )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(187,plain,
! [SV16: $i,SV19: $i,SV11: $i,SV6: $i,SV1: $i] :
( ( ( ~ ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 ) )
= $true )
| ( ( apply @ SV1 @ SV16 @ SV19 )
= $true )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(188,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( maps @ SV2 @ SV7 @ SV17 ) )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(189,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(190,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ! [SY215: $i,SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SY215 @ SV7 ) )
| ~ ( member @ SY216 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) )
| ~ ( apply @ SV2 @ SY215 @ SY216 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SY215 )
| ( apply @ SV20 @ SV31 @ SY216 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SY216 )
| ( apply @ SV12 @ SV28 @ SY215 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(191,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( maps @ SV2 @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(192,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) )
| ~ ( apply @ SV3 @ SV26 @ SV29 ) ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(193,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(194,plain,
! [SV3: $i,SV13: $i,SV18: $i,SV8: $i,SV21: $i] :
( ( ( apply @ SV21 @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(195,plain,
! [SV9: $i,SV24: $i,SV4: $i,SV14: $i] :
( ( ( ! [SY205: $i] :
~ ~ ( ~ ( member @ SY205 @ SV14 )
| ~ ( apply @ SV4 @ SV24 @ SY205 ) ) )
= $false )
| ( ( member @ SV24 @ SV9 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(196,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SV27 @ SV14 ) )
| ~ ( member @ SV30 @ SV14 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(197,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(198,plain,
! [SV9: $i,SV4: $i,SV14: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ SV32 @ SV14 )
| ~ ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 ) ) )
= $true )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV11: $i,SV6: $i,SV19: $i,SV16: $i,SV1: $i] :
( ( ( apply @ SV1 @ SV16 @ SV19 )
= $false )
| ( ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
= $true )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(200,plain,
! [SV16: $i,SV19: $i,SV11: $i,SV6: $i,SV1: $i] :
( ( ( apply @ ( inverse_function @ SV1 @ SV6 @ SV11 ) @ SV19 @ SV16 )
= $false )
| ( ( apply @ SV1 @ SV16 @ SV19 )
= $true )
| ( ( member @ SV16 @ SV6 )
= $false )
| ( ( member @ SV19 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(201,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( maps @ SV2 @ SV7 @ SV17 )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(202,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(203,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ! [SY217: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SY217 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) )
| ~ ( apply @ SV2 @ SV33 @ SY217 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SY217 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SY217 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(204,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( ~ ( one_to_one @ SV2 @ SV7 @ SV17 ) )
= $true )
| ( ( ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(205,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) )
| ~ ( apply @ SV3 @ SV26 @ SV29 ) ) )
= $false )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(206,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(207,plain,
! [SV14: $i,SV4: $i,SV24: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) @ SV14 )
| ~ ( apply @ SV4 @ SV24 @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) ) ) )
= $false )
| ( ( member @ SV24 @ SV9 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[195]) ).
thf(208,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SV27 @ SV14 ) )
| ~ ( member @ SV30 @ SV14 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(209,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ! [SY218: $i,SY219: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ SY218 @ SV14 ) )
| ~ ( member @ SY219 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SY218 )
| ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SY219 ) )
| ( SY218 = SY219 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[197]) ).
thf(210,plain,
! [SV9: $i,SV4: $i,SV14: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ SV32 @ SV14 )
| ~ ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 ) ) )
= $false )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(211,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) )
| ~ ( apply @ SV2 @ SV33 @ SV34 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(212,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( ~ ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(213,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) )
| ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(214,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(215,plain,
! [SV14: $i,SV4: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( ~ ( member @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) @ SV14 )
| ~ ( apply @ SV4 @ SV24 @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) ) ) )
= $true )
| ( ( member @ SV24 @ SV9 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(216,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SV27 @ SV14 ) )
| ~ ( member @ SV30 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(217,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ! [SY220: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
| ~ ( member @ SY220 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SY220 ) )
| ( ( sK13_SY218 @ SV9 @ SV14 @ SV4 )
= SY220 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[209]) ).
thf(218,plain,
! [SV9: $i,SV4: $i,SV14: $i,SV32: $i] :
( ( ( ~ ( member @ SV32 @ SV14 )
| ~ ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 ) )
= $true )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(219,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) )
| ~ ( apply @ SV2 @ SV33 @ SV34 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(220,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( ! [SY183: $i,SY184: $i,SY185: $i,SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY183 @ SV7 )
| ~ ( member @ SY184 @ SV17 ) )
| ~ ( member @ SY185 @ SV7 ) )
| ~ ( member @ SY186 @ SV17 ) )
| ~ ( apply @ SV2 @ SY183 @ SY184 ) )
| ~ ( apply @ SV2 @ SY185 @ SY186 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ SY183 @ SY185 )
| ( apply @ SV20 @ SY184 @ SY186 ) )
| ~ ( ~ ( apply @ SV20 @ SY184 @ SY186 )
| ( apply @ SV12 @ SY183 @ SY185 ) ) ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(221,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(222,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(223,plain,
! [SV21: $i,SV13: $i,SV18: $i,SV8: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(224,plain,
! [SV14: $i,SV4: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( member @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) @ SV14 )
| ~ ( apply @ SV4 @ SV24 @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) ) )
= $false )
| ( ( member @ SV24 @ SV9 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SV27 @ SV14 ) ) )
= $true )
| ( ( ~ ( member @ SV30 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(226,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
| ~ ( member @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) ) )
| ( ( sK13_SY218 @ SV9 @ SV14 @ SV4 )
= ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[217]) ).
thf(227,plain,
! [SV9: $i,SV4: $i,SV14: $i,SV32: $i] :
( ( ( ~ ( member @ SV32 @ SV14 ) )
= $true )
| ( ( ~ ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 ) )
= $true )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(228,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) )
| ~ ( apply @ SV2 @ SV33 @ SV34 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(229,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ! [SY221: $i,SY222: $i,SY223: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ SY221 @ SV17 ) )
| ~ ( member @ SY222 @ SV7 ) )
| ~ ( member @ SY223 @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SY221 ) )
| ~ ( apply @ SV2 @ SY222 @ SY223 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SY222 )
| ( apply @ SV20 @ SY221 @ SY223 ) )
| ~ ( ~ ( apply @ SV20 @ SY221 @ SY223 )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SY222 ) ) ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[220]) ).
thf(230,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) ) )
= $false )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(231,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(232,plain,
! [SV21: $i,SV13: $i,SV18: $i,SV8: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(233,plain,
! [SV14: $i,SV4: $i,SV24: $i,SV9: $i] :
( ( ( ~ ( member @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) @ SV14 ) )
= $false )
| ( ( member @ SV24 @ SV9 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(234,plain,
! [SV14: $i,SV9: $i,SV24: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ SV24 @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) ) )
= $false )
| ( ( member @ SV24 @ SV9 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(235,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ~ ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SV27 @ SV14 ) ) )
= $false )
| ( ( ~ ( member @ SV30 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(236,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
| ~ ( member @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) @ SV14 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(237,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) ) )
| ( ( sK13_SY218 @ SV9 @ SV14 @ SV4 )
= ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(238,plain,
! [SV9: $i,SV4: $i,SV14: $i,SV32: $i] :
( ( ( member @ SV32 @ SV14 )
= $false )
| ( ( ~ ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 ) )
= $true )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(239,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) )
| ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(240,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ! [SY224: $i,SY225: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ SY224 @ SV7 ) )
| ~ ( member @ SY225 @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( apply @ SV2 @ SY224 @ SY225 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SY224 )
| ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SY225 ) )
| ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SY225 )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SY224 ) ) ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[229]) ).
thf(241,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
| ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(242,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
| ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(243,plain,
! [SV14: $i,SV4: $i,SV24: $i,SV9: $i] :
( ( ( member @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) @ SV14 )
= $true )
| ( ( member @ SV24 @ SV9 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(244,plain,
! [SV14: $i,SV9: $i,SV24: $i,SV4: $i] :
( ( ( apply @ SV4 @ SV24 @ ( sK11_SY205 @ SV9 @ SV24 @ SV4 @ SV14 ) )
= $true )
| ( ( member @ SV24 @ SV9 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(245,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ~ ( member @ SV25 @ SV9 )
| ~ ( member @ SV27 @ SV14 ) )
= $true )
| ( ( ~ ( member @ SV30 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(246,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
| ~ ( member @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) @ SV14 ) ) )
= $true )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(247,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(248,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ( sK13_SY218 @ SV9 @ SV14 @ SV4 )
= ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(249,plain,
! [SV32: $i,SV9: $i,SV14: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( ~ ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(250,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(251,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ! [SY226: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ SY226 @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( apply @ SV2 @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SY226 ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SY226 ) )
| ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SY226 )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[240]) ).
thf(252,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(253,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(254,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV21: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(255,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( ~ ( member @ SV25 @ SV9 ) )
= $true )
| ( ( ~ ( member @ SV27 @ SV14 ) )
= $true )
| ( ( ~ ( member @ SV30 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(256,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
| ~ ( member @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(257,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) ) ) )
= $true )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(258,plain,
! [SV32: $i,SV4: $i,SV14: $i,SV9: $i] :
( ( ( ! [SY157: $i,SY158: $i,SY159: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY157 @ SV9 )
| ~ ( member @ SY158 @ SV14 ) )
| ~ ( member @ SY159 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ SY157 @ SY158 )
| ~ ( apply @ SV4 @ SY157 @ SY159 ) )
| ( SY158 = SY159 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(259,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) ) )
= $false )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(260,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( apply @ SV2 @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( ~ ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[251]) ).
thf(261,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) ) )
= $false )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(262,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(263,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV21: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(264,plain,
! [SV4: $i,SV30: $i,SV14: $i,SV27: $i,SV9: $i,SV25: $i] :
( ( ( member @ SV25 @ SV9 )
= $false )
| ( ( ~ ( member @ SV27 @ SV14 ) )
= $true )
| ( ( ~ ( member @ SV30 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(265,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(266,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( member @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(267,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) )
| ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(268,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ! [SY227: $i,SY228: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ SY227 @ SV14 ) )
| ~ ( member @ SY228 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SY227 )
| ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SY228 ) )
| ( SY227 = SY228 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[258]) ).
thf(269,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) )
| ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(270,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( apply @ SV2 @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(271,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( ~ ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(272,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
| ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(273,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(274,plain,
! [SV4: $i,SV30: $i,SV9: $i,SV25: $i,SV14: $i,SV27: $i] :
( ( ( member @ SV27 @ SV14 )
= $false )
| ( ( member @ SV25 @ SV9 )
= $false )
| ( ( ~ ( member @ SV30 @ SV14 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(275,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) ) )
= $true )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(276,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( member @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) @ SV14 )
= $true )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(277,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(278,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(279,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ! [SY229: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
| ~ ( member @ SY229 @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) )
| ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SY229 ) )
| ( ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 )
= SY229 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[268]) ).
thf(280,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(281,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( apply @ SV2 @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(282,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(283,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(284,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(285,plain,
! [SV8: $i,SV18: $i,SV3: $i,SV21: $i,SV13: $i] :
( ( ( ~ ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(286,plain,
! [SV4: $i,SV27: $i,SV9: $i,SV25: $i,SV14: $i,SV30: $i] :
( ( ( member @ SV30 @ SV14 )
= $false )
| ( ( member @ SV25 @ SV9 )
= $false )
| ( ( member @ SV27 @ SV14 )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
| ( SV27 = SV30 ) )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(287,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(288,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) )
= $true )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(289,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ ( sK14_SY220 @ SV9 @ SV14 @ SV4 ) )
= $true )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(290,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
| ~ ( member @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
| ~ ~ ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) )
| ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) ) )
| ( ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 )
= ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[279]) ).
thf(291,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) ) )
= $false )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(292,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
| ~ ( apply @ SV2 @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(293,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(294,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) ) )
= $false )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(295,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(296,plain,
! [SV8: $i,SV18: $i,SV3: $i,SV21: $i,SV13: $i] :
( ( ( apply @ SV13 @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(297,plain,
! [SV9: $i,SV14: $i,SV30: $i,SV27: $i,SV25: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) ) )
= $true )
| ( ( SV27 = SV30 )
= $true )
| ( ( member @ SV27 @ SV14 )
= $false )
| ( ( member @ SV25 @ SV9 )
= $false )
| ( ( member @ SV30 @ SV14 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(298,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(299,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 ) )
= $false )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(300,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
| ~ ( member @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(301,plain,
! [SV9: $i,SV14: $i,SV32: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) )
| ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) ) )
| ( ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 )
= ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(302,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
| ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(303,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(304,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( ~ ( apply @ SV2 @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(305,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(306,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
| ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(307,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
| ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(308,plain,
! [SV9: $i,SV14: $i,SV30: $i,SV27: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) ) )
= $false )
| ( ( SV27 = SV30 )
= $true )
| ( ( member @ SV27 @ SV14 )
= $false )
| ( ( member @ SV25 @ SV9 )
= $false )
| ( ( member @ SV30 @ SV14 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(309,plain,
! [SV9: $i,SV14: $i,SV4: $i] :
( ( ( member @ ( sK12_SY157 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(310,plain,
! [SV4: $i,SV14: $i,SV9: $i] :
( ( ( member @ ( sK13_SY218 @ SV9 @ SV14 @ SV4 ) @ SV14 )
= $true )
| ( ( member @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(311,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
| ~ ( member @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) ) )
= $true )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(312,plain,
! [SV9: $i,SV14: $i,SV32: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) )
| ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(313,plain,
! [SV32: $i,SV4: $i,SV14: $i,SV9: $i] :
( ( ( ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 )
= ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(314,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) ) )
= $true )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(315,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(316,plain,
! [SV20: $i,SV12: $i,SV17: $i,SV7: $i,SV2: $i] :
( ( ( apply @ SV2 @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(317,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV20: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(318,plain,
! [SV12: $i,SV2: $i,SV17: $i,SV7: $i,SV20: $i] :
( ( ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $false )
| ( ( ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(319,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(320,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(321,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(322,plain,
! [SV9: $i,SV14: $i,SV30: $i,SV27: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ SV25 @ SV27 )
| ~ ( apply @ SV4 @ SV25 @ SV30 ) )
= $true )
| ( ( SV27 = SV30 )
= $true )
| ( ( member @ SV27 @ SV14 )
= $false )
| ( ( member @ SV25 @ SV9 )
= $false )
| ( ( member @ SV30 @ SV14 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(323,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
| ~ ( member @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(324,plain,
! [SV9: $i,SV14: $i,SV32: $i,SV4: $i] :
( ( ( ~ ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) )
| ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) ) ) )
= $true )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(325,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) ) )
= $false )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(326,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(327,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV20: $i,SV12: $i] :
( ( ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(328,plain,
! [SV12: $i,SV2: $i,SV17: $i,SV7: $i,SV20: $i] :
( ( ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(329,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) ) )
= $false )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(330,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(331,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ( member @ ( sK10_SY210 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(332,plain,
! [SV9: $i,SV14: $i,SV30: $i,SV27: $i,SV25: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ SV25 @ SV27 ) )
= $true )
| ( ( ~ ( apply @ SV4 @ SV25 @ SV30 ) )
= $true )
| ( ( SV27 = SV30 )
= $true )
| ( ( member @ SV27 @ SV14 )
= $false )
| ( ( member @ SV25 @ SV9 )
= $false )
| ( ( member @ SV30 @ SV14 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(333,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(334,plain,
! [SV32: $i,SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( member @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(335,plain,
! [SV9: $i,SV14: $i,SV32: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) )
| ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(336,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
| ~ ( member @ SV33 @ SV7 ) )
= $true )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(337,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(338,plain,
! [SV7: $i,SV17: $i,SV12: $i,SV20: $i,SV2: $i] :
( ( ( ~ ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(339,plain,
! [SV12: $i,SV2: $i,SV17: $i,SV7: $i,SV20: $i] :
( ( ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
| ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(340,plain,
! [SV12: $i,SV2: $i,SV17: $i,SV7: $i,SV20: $i] :
( ( ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(341,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV20: $i,SV12: $i] :
( ( ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $false )
| ( ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(342,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
| ~ ( member @ SV26 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(343,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
| ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(344,plain,
! [SV9: $i,SV14: $i,SV30: $i,SV27: $i,SV25: $i,SV4: $i] :
( ( ( apply @ SV4 @ SV25 @ SV27 )
= $false )
| ( ( ~ ( apply @ SV4 @ SV25 @ SV30 ) )
= $true )
| ( ( SV27 = SV30 )
= $true )
| ( ( member @ SV27 @ SV14 )
= $false )
| ( ( member @ SV25 @ SV9 )
= $false )
| ( ( member @ SV30 @ SV14 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(345,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) ) )
= $true )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(346,plain,
! [SV32: $i,SV4: $i,SV14: $i,SV9: $i] :
( ( ( member @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 )
= $true )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(347,plain,
! [SV9: $i,SV14: $i,SV32: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(348,plain,
! [SV9: $i,SV14: $i,SV32: $i,SV4: $i] :
( ( ( ~ ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(349,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) ) )
= $true )
| ( ( ~ ( member @ SV33 @ SV7 ) )
= $true )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(350,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(351,plain,
! [SV7: $i,SV17: $i,SV12: $i,SV20: $i,SV2: $i] :
( ( ( apply @ SV2 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(352,plain,
! [SV12: $i,SV2: $i,SV17: $i,SV7: $i,SV20: $i] :
( ( ( ~ ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) ) )
= $false )
| ( ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(353,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV20: $i,SV12: $i] :
( ( ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $false )
| ( ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(354,plain,
! [SV12: $i,SV2: $i,SV17: $i,SV7: $i,SV20: $i] :
( ( ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(355,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) ) )
= $true )
| ( ( ~ ( member @ SV26 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(356,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(357,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(358,plain,
! [SV9: $i,SV14: $i,SV27: $i,SV30: $i,SV25: $i,SV4: $i] :
( ( ( apply @ SV4 @ SV25 @ SV30 )
= $false )
| ( ( apply @ SV4 @ SV25 @ SV27 )
= $false )
| ( ( SV27 = SV30 )
= $true )
| ( ( member @ SV27 @ SV14 )
= $false )
| ( ( member @ SV25 @ SV9 )
= $false )
| ( ( member @ SV30 @ SV14 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(359,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
| ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(360,plain,
! [SV9: $i,SV14: $i,SV32: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) )
= $true )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(361,plain,
! [SV9: $i,SV14: $i,SV32: $i,SV4: $i] :
( ( ( apply @ SV4 @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ ( sK21_SY229 @ SV9 @ SV14 @ SV4 @ SV32 ) )
= $true )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(362,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) ) )
= $false )
| ( ( ~ ( member @ SV33 @ SV7 ) )
= $true )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(363,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
| ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(364,plain,
! [SV12: $i,SV2: $i,SV17: $i,SV7: $i,SV20: $i] :
( ( ( apply @ SV20 @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( apply @ SV12 @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(365,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) ) )
= $false )
| ( ( ~ ( member @ SV26 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(366,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) ) )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(367,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ( member @ ( sK9_SY203 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV8 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(368,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(369,plain,
! [SV32: $i,SV4: $i,SV14: $i,SV9: $i] :
( ( ( ~ ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 ) )
= $false )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(370,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV7 )
| ~ ( member @ SV31 @ SV17 ) )
= $true )
| ( ( ~ ( member @ SV33 @ SV7 ) )
= $true )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(371,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(372,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(373,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( member @ SV22 @ SV8 )
| ~ ( member @ SV23 @ SV18 ) )
= $true )
| ( ( ~ ( member @ SV26 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(374,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
| ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(375,plain,
! [SV9: $i,SV14: $i,SV4: $i,SV32: $i] :
( ( ( member @ ( sK19_SY157 @ SV32 @ SV4 @ SV14 @ SV9 ) @ SV9 )
= $true )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(376,plain,
! [SV32: $i,SV4: $i,SV14: $i,SV9: $i] :
( ( ( member @ ( sK20_SY227 @ SV9 @ SV14 @ SV4 @ SV32 ) @ SV14 )
= $true )
| ( ( member @ SV32 @ SV14 )
= $false )
| ( ( apply @ SV4 @ ( sK8_SY155 @ SV4 @ SV14 @ SV9 ) @ SV32 )
= $false )
| ( ( maps @ SV4 @ SV9 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(377,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV7 ) )
= $true )
| ( ( ~ ( member @ SV31 @ SV17 ) )
= $true )
| ( ( ~ ( member @ SV33 @ SV7 ) )
= $true )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(378,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(379,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( member @ ( sK18_SY226 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(380,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( ~ ( member @ SV22 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV23 @ SV18 ) )
= $true )
| ( ( ~ ( member @ SV26 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(381,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( ~ ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(382,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 ) )
= $false )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(383,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV17: $i,SV31: $i,SV7: $i,SV28: $i] :
( ( ( member @ SV28 @ SV7 )
= $false )
| ( ( ~ ( member @ SV31 @ SV17 ) )
= $true )
| ( ( ~ ( member @ SV33 @ SV7 ) )
= $true )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(384,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
| ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(385,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i] :
( ( ( member @ SV22 @ SV8 )
= $false )
| ( ( ~ ( member @ SV23 @ SV18 ) )
= $true )
| ( ( ~ ( member @ SV26 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(386,plain,
! [SV8: $i,SV18: $i,SV13: $i,SV3: $i,SV21: $i] :
( ( ( member @ ( sK6_SY191 @ SV21 @ SV3 @ SV13 @ SV18 @ SV8 ) @ SV8 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(387,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV18: $i,SV8: $i] :
( ( ( member @ ( sK7_SY198 @ SV8 @ SV18 @ SV13 @ SV3 @ SV21 ) @ SV18 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(388,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV33: $i,SV7: $i,SV28: $i,SV17: $i,SV31: $i] :
( ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( ~ ( member @ SV33 @ SV7 ) )
= $true )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(389,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(390,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(391,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV26: $i,SV8: $i,SV22: $i,SV18: $i,SV23: $i] :
( ( ( member @ SV23 @ SV18 )
= $false )
| ( ( member @ SV22 @ SV8 )
= $false )
| ( ( ~ ( member @ SV26 @ SV8 ) )
= $true )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(392,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV34: $i,SV17: $i,SV31: $i,SV28: $i,SV7: $i,SV33: $i] :
( ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( ~ ( member @ SV34 @ SV17 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(393,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) ) )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(394,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( member @ ( sK17_SY224 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV7 )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(395,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV29: $i,SV18: $i,SV23: $i,SV22: $i,SV8: $i,SV26: $i] :
( ( ( member @ SV26 @ SV8 )
= $false )
| ( ( member @ SV22 @ SV8 )
= $false )
| ( ( member @ SV23 @ SV18 )
= $false )
| ( ( ~ ( member @ SV29 @ SV18 ) )
= $true )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(396,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV33: $i,SV7: $i,SV28: $i,SV31: $i,SV17: $i,SV34: $i] :
( ( ( member @ SV34 @ SV17 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( ~ ( apply @ SV2 @ SV28 @ SV31 ) )
= $true )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(397,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
| ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(398,plain,
! [SV21: $i,SV3: $i,SV13: $i,SV26: $i,SV8: $i,SV22: $i,SV23: $i,SV18: $i,SV29: $i] :
( ( ( member @ SV29 @ SV18 )
= $false )
| ( ( member @ SV23 @ SV18 )
= $false )
| ( ( member @ SV22 @ SV8 )
= $false )
| ( ( member @ SV26 @ SV8 )
= $false )
| ( ( ~ ( apply @ SV13 @ SV22 @ SV26 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(399,plain,
! [SV20: $i,SV12: $i,SV34: $i,SV17: $i,SV7: $i,SV33: $i,SV31: $i,SV28: $i,SV2: $i] :
( ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( ~ ( apply @ SV2 @ SV33 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(400,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( ~ ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(401,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 ) )
= $false )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(402,plain,
! [SV21: $i,SV3: $i,SV29: $i,SV18: $i,SV23: $i,SV8: $i,SV26: $i,SV22: $i,SV13: $i] :
( ( ( apply @ SV13 @ SV22 @ SV26 )
= $false )
| ( ( member @ SV26 @ SV8 )
= $false )
| ( ( member @ SV22 @ SV8 )
= $false )
| ( ( member @ SV23 @ SV18 )
= $false )
| ( ( member @ SV29 @ SV18 )
= $false )
| ( ( ~ ( apply @ SV3 @ SV22 @ SV23 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(403,plain,
! [SV20: $i,SV12: $i,SV7: $i,SV28: $i,SV31: $i,SV17: $i,SV34: $i,SV33: $i,SV2: $i] :
( ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( ~ ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) ) )
= $true )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(404,plain,
! [SV7: $i,SV17: $i,SV2: $i,SV12: $i,SV20: $i] :
( ( ( member @ ( sK15_SY183 @ SV20 @ SV12 @ SV2 @ SV17 @ SV7 ) @ SV7 )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(405,plain,
! [SV20: $i,SV12: $i,SV2: $i,SV17: $i,SV7: $i] :
( ( ( member @ ( sK16_SY221 @ SV7 @ SV17 @ SV2 @ SV12 @ SV20 ) @ SV17 )
= $true )
| ( ( maps @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( one_to_one @ SV2 @ SV7 @ SV17 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(406,plain,
! [SV21: $i,SV13: $i,SV26: $i,SV8: $i,SV18: $i,SV29: $i,SV23: $i,SV22: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV22 @ SV23 )
= $false )
| ( ( member @ SV29 @ SV18 )
= $false )
| ( ( member @ SV23 @ SV18 )
= $false )
| ( ( member @ SV22 @ SV8 )
= $false )
| ( ( member @ SV26 @ SV8 )
= $false )
| ( ( apply @ SV13 @ SV22 @ SV26 )
= $false )
| ( ( ~ ( apply @ SV3 @ SV26 @ SV29 ) )
= $true )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(407,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV34: $i,SV31: $i,SV20: $i,SV33: $i,SV28: $i,SV12: $i] :
( ( ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
| ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) )
= $false )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(408,plain,
! [SV21: $i,SV18: $i,SV23: $i,SV8: $i,SV22: $i,SV13: $i,SV29: $i,SV26: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV26 @ SV29 )
= $false )
| ( ( apply @ SV13 @ SV22 @ SV26 )
= $false )
| ( ( member @ SV26 @ SV8 )
= $false )
| ( ( member @ SV22 @ SV8 )
= $false )
| ( ( member @ SV23 @ SV18 )
= $false )
| ( ( member @ SV29 @ SV18 )
= $false )
| ( ( apply @ SV3 @ SV22 @ SV23 )
= $false )
| ( ( apply @ SV21 @ SV23 @ SV29 )
= $true )
| ( ( increasing @ SV3 @ SV8 @ SV13 @ SV18 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(409,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV34: $i,SV31: $i,SV20: $i,SV33: $i,SV28: $i,SV12: $i] :
( ( ( ~ ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) ) )
= $false )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(410,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV33: $i,SV28: $i,SV12: $i,SV34: $i,SV31: $i,SV20: $i] :
( ( ( ~ ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) ) )
= $false )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(411,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV34: $i,SV31: $i,SV20: $i,SV33: $i,SV28: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ SV28 @ SV33 )
| ( apply @ SV20 @ SV31 @ SV34 ) )
= $true )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(412,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV33: $i,SV28: $i,SV12: $i,SV34: $i,SV31: $i,SV20: $i] :
( ( ( ~ ( apply @ SV20 @ SV31 @ SV34 )
| ( apply @ SV12 @ SV28 @ SV33 ) )
= $true )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(413,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV34: $i,SV31: $i,SV20: $i,SV33: $i,SV28: $i,SV12: $i] :
( ( ( ~ ( apply @ SV12 @ SV28 @ SV33 ) )
= $true )
| ( ( apply @ SV20 @ SV31 @ SV34 )
= $true )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(414,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV33: $i,SV28: $i,SV12: $i,SV34: $i,SV31: $i,SV20: $i] :
( ( ( ~ ( apply @ SV20 @ SV31 @ SV34 ) )
= $true )
| ( ( apply @ SV12 @ SV28 @ SV33 )
= $true )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(415,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV34: $i,SV31: $i,SV20: $i,SV33: $i,SV28: $i,SV12: $i] :
( ( ( apply @ SV12 @ SV28 @ SV33 )
= $false )
| ( ( apply @ SV20 @ SV31 @ SV34 )
= $true )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(416,plain,
! [SV17: $i,SV7: $i,SV2: $i,SV33: $i,SV28: $i,SV12: $i,SV34: $i,SV31: $i,SV20: $i] :
( ( ( apply @ SV20 @ SV31 @ SV34 )
= $false )
| ( ( apply @ SV12 @ SV28 @ SV33 )
= $true )
| ( ( apply @ SV2 @ SV28 @ SV31 )
= $false )
| ( ( member @ SV33 @ SV7 )
= $false )
| ( ( member @ SV28 @ SV7 )
= $false )
| ( ( member @ SV31 @ SV17 )
= $false )
| ( ( member @ SV34 @ SV17 )
= $false )
| ( ( apply @ SV2 @ SV33 @ SV34 )
= $false )
| ( ( isomorphism @ SV2 @ SV7 @ SV12 @ SV17 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(417,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[54,416,415,408,405,404,394,387,386,379,376,375,367,364,361,360,358,354,353,351,346,341,331,316,313,310,309,296,289,288,276,263,248,244,243,232,202,201,200,199,194,163,152,151,99,78,55]) ).
thf(418,plain,
( ( ! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ? [Y: $i] :
( ( member @ Y @ B )
& ( apply @ F @ X @ Y ) ) )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( ( member @ X @ A )
& ( member @ Y1 @ B )
& ( member @ Y2 @ B ) )
=> ( ( ( apply @ F @ X @ Y1 )
& ( apply @ F @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(419,plain,
( ( ! [F: $i,A: $i,B: $i] :
( ( one_to_one @ F @ A @ B )
<=> ( ( injective @ F @ A @ B )
& ( surjective @ F @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(420,plain,
( ( ! [F: $i,A: $i,B: $i,X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ B ) )
=> ( ( apply @ F @ X @ Y )
<=> ( apply @ ( inverse_function @ F @ A @ B ) @ Y @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(421,plain,
( ( ! [F: $i,A: $i,R: $i,B: $i,S: $i] :
( ( increasing @ F @ A @ R @ B @ S )
<=> ! [X1: $i,Y1: $i,X2: $i,Y2: $i] :
( ( ( member @ X1 @ A )
& ( member @ Y1 @ B )
& ( member @ X2 @ A )
& ( member @ Y2 @ B )
& ( apply @ R @ X1 @ X2 )
& ( apply @ F @ X1 @ Y1 )
& ( apply @ F @ X2 @ Y2 ) )
=> ( apply @ S @ Y1 @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(422,plain,
( ( ! [F: $i,A: $i,R: $i,B: $i,S: $i] :
( ( isomorphism @ F @ A @ R @ B @ S )
<=> ( ( maps @ F @ A @ B )
& ( one_to_one @ F @ A @ B )
& ! [X1: $i,Y1: $i,X2: $i,Y2: $i] :
( ( ( member @ X1 @ A )
& ( member @ Y1 @ B )
& ( member @ X2 @ A )
& ( member @ Y2 @ B )
& ( apply @ F @ X1 @ Y1 )
& ( apply @ F @ X2 @ Y2 ) )
=> ( ( apply @ R @ X1 @ X2 )
<=> ( apply @ S @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(423,plain,
( ( one_to_one @ sK1_F @ sK2_SY39 @ sK3_SY43 )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(424,plain,
( ( maps @ sK1_F @ sK2_SY39 @ sK3_SY43 )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(425,plain,
( ( ~ ( ( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
& ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
=> ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(426,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ( ~ ( isomorphism @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( ~ ~ ( ~ ( maps @ SX0 @ SX1 @ SX3 )
| ~ ( one_to_one @ SX0 @ SX1 @ SX3 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX5 @ SX1 )
| ~ ( member @ SX6 @ SX3 ) )
| ~ ( member @ SX7 @ SX1 ) )
| ~ ( member @ SX8 @ SX3 ) )
| ~ ( apply @ SX0 @ SX5 @ SX6 ) )
| ~ ( apply @ SX0 @ SX7 @ SX8 ) )
| ~ ( ~ ( ~ ( apply @ SX2 @ SX5 @ SX7 )
| ( apply @ SX4 @ SX6 @ SX8 ) )
| ~ ( ~ ( apply @ SX4 @ SX6 @ SX8 )
| ( apply @ SX2 @ SX5 @ SX7 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SX0 @ SX1 @ SX3 )
| ~ ( one_to_one @ SX0 @ SX1 @ SX3 ) )
| ~ ! [SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX5 @ SX1 )
| ~ ( member @ SX6 @ SX3 ) )
| ~ ( member @ SX7 @ SX1 ) )
| ~ ( member @ SX8 @ SX3 ) )
| ~ ( apply @ SX0 @ SX5 @ SX6 ) )
| ~ ( apply @ SX0 @ SX7 @ SX8 ) )
| ~ ( ~ ( ~ ( apply @ SX2 @ SX5 @ SX7 )
| ( apply @ SX4 @ SX6 @ SX8 ) )
| ~ ( ~ ( apply @ SX4 @ SX6 @ SX8 )
| ( apply @ SX2 @ SX5 @ SX7 ) ) ) ) )
| ( isomorphism @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(427,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( maps @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SX2 )
| ~ ( apply @ SX0 @ SX3 @ SX4 ) ) )
| ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX2 ) )
| ~ ( member @ SX5 @ SX2 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX3 @ SX4 )
| ~ ( apply @ SX0 @ SX3 @ SX5 ) )
| ( SX4 = SX5 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SX2 )
| ~ ( apply @ SX0 @ SX3 @ SX4 ) ) )
| ~ ! [SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX2 ) )
| ~ ( member @ SX5 @ SX2 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX3 @ SX4 )
| ~ ( apply @ SX0 @ SX3 @ SX5 ) )
| ( SX4 = SX5 ) ) )
| ( maps @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(428,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( one_to_one @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( injective @ SX0 @ SX1 @ SX2 )
| ~ ( surjective @ SX0 @ SX1 @ SX2 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SX0 @ SX1 @ SX2 )
| ~ ( surjective @ SX0 @ SX1 @ SX2 ) )
| ( one_to_one @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(429,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( member @ SX4 @ SX2 ) )
| ~ ( ~ ( ~ ( apply @ SX0 @ SX3 @ SX4 )
| ( apply @ ( inverse_function @ SX0 @ SX1 @ SX2 ) @ SX4 @ SX3 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SX0 @ SX1 @ SX2 ) @ SX4 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(430,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ( ~ ( increasing @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ! [SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX5 @ SX1 )
| ~ ( member @ SX6 @ SX3 ) )
| ~ ( member @ SX7 @ SX1 ) )
| ~ ( member @ SX8 @ SX3 ) )
| ~ ( apply @ SX2 @ SX5 @ SX7 ) )
| ~ ( apply @ SX0 @ SX5 @ SX6 ) )
| ~ ( apply @ SX0 @ SX7 @ SX8 ) )
| ( apply @ SX4 @ SX6 @ SX8 ) ) )
| ~ ( ~ ! [SX5: $i,SX6: $i,SX7: $i,SX8: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX5 @ SX1 )
| ~ ( member @ SX6 @ SX3 ) )
| ~ ( member @ SX7 @ SX1 ) )
| ~ ( member @ SX8 @ SX3 ) )
| ~ ( apply @ SX2 @ SX5 @ SX7 ) )
| ~ ( apply @ SX0 @ SX5 @ SX6 ) )
| ~ ( apply @ SX0 @ SX7 @ SX8 ) )
| ( apply @ SX4 @ SX6 @ SX8 ) )
| ( increasing @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(431,plain,
( ( ~ ( ~ ~ ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
| ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(432,plain,
! [SV35: $i] :
( ( ! [SY230: $i,SY231: $i,SY232: $i,SY233: $i] :
~ ( ~ ( ~ ( isomorphism @ SV35 @ SY230 @ SY231 @ SY232 @ SY233 )
| ~ ( ~ ~ ( ~ ( maps @ SV35 @ SY230 @ SY232 )
| ~ ( one_to_one @ SV35 @ SY230 @ SY232 ) )
| ~ ! [SY234: $i,SY235: $i,SY236: $i,SY237: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY234 @ SY230 )
| ~ ( member @ SY235 @ SY232 ) )
| ~ ( member @ SY236 @ SY230 ) )
| ~ ( member @ SY237 @ SY232 ) )
| ~ ( apply @ SV35 @ SY234 @ SY235 ) )
| ~ ( apply @ SV35 @ SY236 @ SY237 ) )
| ~ ( ~ ( ~ ( apply @ SY231 @ SY234 @ SY236 )
| ( apply @ SY233 @ SY235 @ SY237 ) )
| ~ ( ~ ( apply @ SY233 @ SY235 @ SY237 )
| ( apply @ SY231 @ SY234 @ SY236 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SY230 @ SY232 )
| ~ ( one_to_one @ SV35 @ SY230 @ SY232 ) )
| ~ ! [SY238: $i,SY239: $i,SY240: $i,SY241: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY238 @ SY230 )
| ~ ( member @ SY239 @ SY232 ) )
| ~ ( member @ SY240 @ SY230 ) )
| ~ ( member @ SY241 @ SY232 ) )
| ~ ( apply @ SV35 @ SY238 @ SY239 ) )
| ~ ( apply @ SV35 @ SY240 @ SY241 ) )
| ~ ( ~ ( ~ ( apply @ SY231 @ SY238 @ SY240 )
| ( apply @ SY233 @ SY239 @ SY241 ) )
| ~ ( ~ ( apply @ SY233 @ SY239 @ SY241 )
| ( apply @ SY231 @ SY238 @ SY240 ) ) ) ) )
| ( isomorphism @ SV35 @ SY230 @ SY231 @ SY232 @ SY233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(433,plain,
! [SV36: $i] :
( ( ! [SY242: $i,SY243: $i] :
~ ( ~ ( ~ ( maps @ SV36 @ SY242 @ SY243 )
| ~ ( ~ ! [SY244: $i] :
( ~ ( member @ SY244 @ SY242 )
| ~ ! [SY245: $i] :
~ ~ ( ~ ( member @ SY245 @ SY243 )
| ~ ( apply @ SV36 @ SY244 @ SY245 ) ) )
| ~ ! [SY246: $i,SY247: $i,SY248: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY246 @ SY242 )
| ~ ( member @ SY247 @ SY243 ) )
| ~ ( member @ SY248 @ SY243 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY246 @ SY247 )
| ~ ( apply @ SV36 @ SY246 @ SY248 ) )
| ( SY247 = SY248 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY249: $i] :
( ~ ( member @ SY249 @ SY242 )
| ~ ! [SY250: $i] :
~ ~ ( ~ ( member @ SY250 @ SY243 )
| ~ ( apply @ SV36 @ SY249 @ SY250 ) ) )
| ~ ! [SY251: $i,SY252: $i,SY253: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY251 @ SY242 )
| ~ ( member @ SY252 @ SY243 ) )
| ~ ( member @ SY253 @ SY243 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY251 @ SY252 )
| ~ ( apply @ SV36 @ SY251 @ SY253 ) )
| ( SY252 = SY253 ) ) )
| ( maps @ SV36 @ SY242 @ SY243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(434,plain,
! [SV37: $i] :
( ( ! [SY254: $i,SY255: $i] :
~ ( ~ ( ~ ( one_to_one @ SV37 @ SY254 @ SY255 )
| ~ ( ~ ( injective @ SV37 @ SY254 @ SY255 )
| ~ ( surjective @ SV37 @ SY254 @ SY255 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SV37 @ SY254 @ SY255 )
| ~ ( surjective @ SV37 @ SY254 @ SY255 ) )
| ( one_to_one @ SV37 @ SY254 @ SY255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(435,plain,
! [SV38: $i] :
( ( ! [SY256: $i,SY257: $i,SY258: $i,SY259: $i] :
( ~ ~ ( ~ ( member @ SY258 @ SY256 )
| ~ ( member @ SY259 @ SY257 ) )
| ~ ( ~ ( ~ ( apply @ SV38 @ SY258 @ SY259 )
| ( apply @ ( inverse_function @ SV38 @ SY256 @ SY257 ) @ SY259 @ SY258 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SY256 @ SY257 ) @ SY259 @ SY258 )
| ( apply @ SV38 @ SY258 @ SY259 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(436,plain,
! [SV39: $i] :
( ( ! [SY260: $i,SY261: $i,SY262: $i,SY263: $i] :
~ ( ~ ( ~ ( increasing @ SV39 @ SY260 @ SY261 @ SY262 @ SY263 )
| ! [SY264: $i,SY265: $i,SY266: $i,SY267: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY264 @ SY260 )
| ~ ( member @ SY265 @ SY262 ) )
| ~ ( member @ SY266 @ SY260 ) )
| ~ ( member @ SY267 @ SY262 ) )
| ~ ( apply @ SY261 @ SY264 @ SY266 ) )
| ~ ( apply @ SV39 @ SY264 @ SY265 ) )
| ~ ( apply @ SV39 @ SY266 @ SY267 ) )
| ( apply @ SY263 @ SY265 @ SY267 ) ) )
| ~ ( ~ ! [SY268: $i,SY269: $i,SY270: $i,SY271: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY268 @ SY260 )
| ~ ( member @ SY269 @ SY262 ) )
| ~ ( member @ SY270 @ SY260 ) )
| ~ ( member @ SY271 @ SY262 ) )
| ~ ( apply @ SY261 @ SY268 @ SY270 ) )
| ~ ( apply @ SV39 @ SY268 @ SY269 ) )
| ~ ( apply @ SV39 @ SY270 @ SY271 ) )
| ( apply @ SY263 @ SY269 @ SY271 ) )
| ( increasing @ SV39 @ SY260 @ SY261 @ SY262 @ SY263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(437,plain,
( ( ~ ~ ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
| ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(438,plain,
! [SV40: $i,SV35: $i] :
( ( ! [SY272: $i,SY273: $i,SY274: $i] :
~ ( ~ ( ~ ( isomorphism @ SV35 @ SV40 @ SY272 @ SY273 @ SY274 )
| ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SY273 )
| ~ ( one_to_one @ SV35 @ SV40 @ SY273 ) )
| ~ ! [SY275: $i,SY276: $i,SY277: $i,SY278: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY275 @ SV40 )
| ~ ( member @ SY276 @ SY273 ) )
| ~ ( member @ SY277 @ SV40 ) )
| ~ ( member @ SY278 @ SY273 ) )
| ~ ( apply @ SV35 @ SY275 @ SY276 ) )
| ~ ( apply @ SV35 @ SY277 @ SY278 ) )
| ~ ( ~ ( ~ ( apply @ SY272 @ SY275 @ SY277 )
| ( apply @ SY274 @ SY276 @ SY278 ) )
| ~ ( ~ ( apply @ SY274 @ SY276 @ SY278 )
| ( apply @ SY272 @ SY275 @ SY277 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SY273 )
| ~ ( one_to_one @ SV35 @ SV40 @ SY273 ) )
| ~ ! [SY279: $i,SY280: $i,SY281: $i,SY282: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY279 @ SV40 )
| ~ ( member @ SY280 @ SY273 ) )
| ~ ( member @ SY281 @ SV40 ) )
| ~ ( member @ SY282 @ SY273 ) )
| ~ ( apply @ SV35 @ SY279 @ SY280 ) )
| ~ ( apply @ SV35 @ SY281 @ SY282 ) )
| ~ ( ~ ( ~ ( apply @ SY272 @ SY279 @ SY281 )
| ( apply @ SY274 @ SY280 @ SY282 ) )
| ~ ( ~ ( apply @ SY274 @ SY280 @ SY282 )
| ( apply @ SY272 @ SY279 @ SY281 ) ) ) ) )
| ( isomorphism @ SV35 @ SV40 @ SY272 @ SY273 @ SY274 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(439,plain,
! [SV41: $i,SV36: $i] :
( ( ! [SY283: $i] :
~ ( ~ ( ~ ( maps @ SV36 @ SV41 @ SY283 )
| ~ ( ~ ! [SY284: $i] :
( ~ ( member @ SY284 @ SV41 )
| ~ ! [SY245: $i] :
~ ~ ( ~ ( member @ SY245 @ SY283 )
| ~ ( apply @ SV36 @ SY284 @ SY245 ) ) )
| ~ ! [SY286: $i,SY287: $i,SY288: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY286 @ SV41 )
| ~ ( member @ SY287 @ SY283 ) )
| ~ ( member @ SY288 @ SY283 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY286 @ SY287 )
| ~ ( apply @ SV36 @ SY286 @ SY288 ) )
| ( SY287 = SY288 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY289: $i] :
( ~ ( member @ SY289 @ SV41 )
| ~ ! [SY250: $i] :
~ ~ ( ~ ( member @ SY250 @ SY283 )
| ~ ( apply @ SV36 @ SY289 @ SY250 ) ) )
| ~ ! [SY291: $i,SY292: $i,SY293: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY291 @ SV41 )
| ~ ( member @ SY292 @ SY283 ) )
| ~ ( member @ SY293 @ SY283 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY291 @ SY292 )
| ~ ( apply @ SV36 @ SY291 @ SY293 ) )
| ( SY292 = SY293 ) ) )
| ( maps @ SV36 @ SV41 @ SY283 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(440,plain,
! [SV42: $i,SV37: $i] :
( ( ! [SY294: $i] :
~ ( ~ ( ~ ( one_to_one @ SV37 @ SV42 @ SY294 )
| ~ ( ~ ( injective @ SV37 @ SV42 @ SY294 )
| ~ ( surjective @ SV37 @ SV42 @ SY294 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SV37 @ SV42 @ SY294 )
| ~ ( surjective @ SV37 @ SV42 @ SY294 ) )
| ( one_to_one @ SV37 @ SV42 @ SY294 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(441,plain,
! [SV38: $i,SV43: $i] :
( ( ! [SY295: $i,SY296: $i,SY297: $i] :
( ~ ~ ( ~ ( member @ SY296 @ SV43 )
| ~ ( member @ SY297 @ SY295 ) )
| ~ ( ~ ( ~ ( apply @ SV38 @ SY296 @ SY297 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SY295 ) @ SY297 @ SY296 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SY295 ) @ SY297 @ SY296 )
| ( apply @ SV38 @ SY296 @ SY297 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(442,plain,
! [SV44: $i,SV39: $i] :
( ( ! [SY298: $i,SY299: $i,SY300: $i] :
~ ( ~ ( ~ ( increasing @ SV39 @ SV44 @ SY298 @ SY299 @ SY300 )
| ! [SY301: $i,SY302: $i,SY303: $i,SY304: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY301 @ SV44 )
| ~ ( member @ SY302 @ SY299 ) )
| ~ ( member @ SY303 @ SV44 ) )
| ~ ( member @ SY304 @ SY299 ) )
| ~ ( apply @ SY298 @ SY301 @ SY303 ) )
| ~ ( apply @ SV39 @ SY301 @ SY302 ) )
| ~ ( apply @ SV39 @ SY303 @ SY304 ) )
| ( apply @ SY300 @ SY302 @ SY304 ) ) )
| ~ ( ~ ! [SY305: $i,SY306: $i,SY307: $i,SY308: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY305 @ SV44 )
| ~ ( member @ SY306 @ SY299 ) )
| ~ ( member @ SY307 @ SV44 ) )
| ~ ( member @ SY308 @ SY299 ) )
| ~ ( apply @ SY298 @ SY305 @ SY307 ) )
| ~ ( apply @ SV39 @ SY305 @ SY306 ) )
| ~ ( apply @ SV39 @ SY307 @ SY308 ) )
| ( apply @ SY300 @ SY306 @ SY308 ) )
| ( increasing @ SV39 @ SV44 @ SY298 @ SY299 @ SY300 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(443,plain,
( ( ~ ~ ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(444,plain,
( ( isomorphism @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(445,plain,
! [SV45: $i,SV40: $i,SV35: $i] :
( ( ! [SY309: $i,SY310: $i] :
~ ( ~ ( ~ ( isomorphism @ SV35 @ SV40 @ SV45 @ SY309 @ SY310 )
| ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SY309 )
| ~ ( one_to_one @ SV35 @ SV40 @ SY309 ) )
| ~ ! [SY311: $i,SY312: $i,SY313: $i,SY314: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY311 @ SV40 )
| ~ ( member @ SY312 @ SY309 ) )
| ~ ( member @ SY313 @ SV40 ) )
| ~ ( member @ SY314 @ SY309 ) )
| ~ ( apply @ SV35 @ SY311 @ SY312 ) )
| ~ ( apply @ SV35 @ SY313 @ SY314 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY311 @ SY313 )
| ( apply @ SY310 @ SY312 @ SY314 ) )
| ~ ( ~ ( apply @ SY310 @ SY312 @ SY314 )
| ( apply @ SV45 @ SY311 @ SY313 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SY309 )
| ~ ( one_to_one @ SV35 @ SV40 @ SY309 ) )
| ~ ! [SY315: $i,SY316: $i,SY317: $i,SY318: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY315 @ SV40 )
| ~ ( member @ SY316 @ SY309 ) )
| ~ ( member @ SY317 @ SV40 ) )
| ~ ( member @ SY318 @ SY309 ) )
| ~ ( apply @ SV35 @ SY315 @ SY316 ) )
| ~ ( apply @ SV35 @ SY317 @ SY318 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY315 @ SY317 )
| ( apply @ SY310 @ SY316 @ SY318 ) )
| ~ ( ~ ( apply @ SY310 @ SY316 @ SY318 )
| ( apply @ SV45 @ SY315 @ SY317 ) ) ) ) )
| ( isomorphism @ SV35 @ SV40 @ SV45 @ SY309 @ SY310 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(446,plain,
! [SV46: $i,SV41: $i,SV36: $i] :
( ( ~ ( ~ ( ~ ( maps @ SV36 @ SV41 @ SV46 )
| ~ ( ~ ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) )
| ~ ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) )
| ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
| ( maps @ SV36 @ SV41 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(447,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ~ ( ~ ( ~ ( one_to_one @ SV37 @ SV42 @ SV47 )
| ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
| ( one_to_one @ SV37 @ SV42 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(448,plain,
! [SV38: $i,SV48: $i,SV43: $i] :
( ( ! [SY329: $i,SY330: $i] :
( ~ ~ ( ~ ( member @ SY329 @ SV43 )
| ~ ( member @ SY330 @ SV48 ) )
| ~ ( ~ ( ~ ( apply @ SV38 @ SY329 @ SY330 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SY330 @ SY329 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SY330 @ SY329 )
| ( apply @ SV38 @ SY329 @ SY330 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(449,plain,
! [SV49: $i,SV44: $i,SV39: $i] :
( ( ! [SY331: $i,SY332: $i] :
~ ( ~ ( ~ ( increasing @ SV39 @ SV44 @ SV49 @ SY331 @ SY332 )
| ! [SY333: $i,SY334: $i,SY335: $i,SY336: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY333 @ SV44 )
| ~ ( member @ SY334 @ SY331 ) )
| ~ ( member @ SY335 @ SV44 ) )
| ~ ( member @ SY336 @ SY331 ) )
| ~ ( apply @ SV49 @ SY333 @ SY335 ) )
| ~ ( apply @ SV39 @ SY333 @ SY334 ) )
| ~ ( apply @ SV39 @ SY335 @ SY336 ) )
| ( apply @ SY332 @ SY334 @ SY336 ) ) )
| ~ ( ~ ! [SY337: $i,SY338: $i,SY339: $i,SY340: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY337 @ SV44 )
| ~ ( member @ SY338 @ SY331 ) )
| ~ ( member @ SY339 @ SV44 ) )
| ~ ( member @ SY340 @ SY331 ) )
| ~ ( apply @ SV49 @ SY337 @ SY339 ) )
| ~ ( apply @ SV39 @ SY337 @ SY338 ) )
| ~ ( apply @ SV39 @ SY339 @ SY340 ) )
| ( apply @ SY332 @ SY338 @ SY340 ) )
| ( increasing @ SV39 @ SV44 @ SV49 @ SY331 @ SY332 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(450,plain,
( ( ~ ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(451,plain,
! [SV50: $i,SV45: $i,SV40: $i,SV35: $i] :
( ( ! [SY341: $i] :
~ ( ~ ( ~ ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SY341 )
| ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY342: $i,SY343: $i,SY344: $i,SY345: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY342 @ SV40 )
| ~ ( member @ SY343 @ SV50 ) )
| ~ ( member @ SY344 @ SV40 ) )
| ~ ( member @ SY345 @ SV50 ) )
| ~ ( apply @ SV35 @ SY342 @ SY343 ) )
| ~ ( apply @ SV35 @ SY344 @ SY345 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY342 @ SY344 )
| ( apply @ SY341 @ SY343 @ SY345 ) )
| ~ ( ~ ( apply @ SY341 @ SY343 @ SY345 )
| ( apply @ SV45 @ SY342 @ SY344 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY346: $i,SY347: $i,SY348: $i,SY349: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY346 @ SV40 )
| ~ ( member @ SY347 @ SV50 ) )
| ~ ( member @ SY348 @ SV40 ) )
| ~ ( member @ SY349 @ SV50 ) )
| ~ ( apply @ SV35 @ SY346 @ SY347 ) )
| ~ ( apply @ SV35 @ SY348 @ SY349 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY346 @ SY348 )
| ( apply @ SY341 @ SY347 @ SY349 ) )
| ~ ( ~ ( apply @ SY341 @ SY347 @ SY349 )
| ( apply @ SV45 @ SY346 @ SY348 ) ) ) ) )
| ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SY341 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(452,plain,
! [SV46: $i,SV41: $i,SV36: $i] :
( ( ~ ( ~ ( maps @ SV36 @ SV41 @ SV46 )
| ~ ( ~ ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) )
| ~ ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) ) )
| ~ ( ~ ~ ( ~ ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) )
| ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
| ( maps @ SV36 @ SV41 @ SV46 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(453,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ~ ( ~ ( one_to_one @ SV37 @ SV42 @ SV47 )
| ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) ) )
| ~ ( ~ ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
| ( one_to_one @ SV37 @ SV42 @ SV47 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(454,plain,
! [SV38: $i,SV48: $i,SV43: $i,SV51: $i] :
( ( ! [SY350: $i] :
( ~ ~ ( ~ ( member @ SV51 @ SV43 )
| ~ ( member @ SY350 @ SV48 ) )
| ~ ( ~ ( ~ ( apply @ SV38 @ SV51 @ SY350 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SY350 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SY350 @ SV51 )
| ( apply @ SV38 @ SV51 @ SY350 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(455,plain,
! [SV52: $i,SV49: $i,SV44: $i,SV39: $i] :
( ( ! [SY351: $i] :
~ ( ~ ( ~ ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SY351 )
| ! [SY352: $i,SY353: $i,SY354: $i,SY355: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY352 @ SV44 )
| ~ ( member @ SY353 @ SV52 ) )
| ~ ( member @ SY354 @ SV44 ) )
| ~ ( member @ SY355 @ SV52 ) )
| ~ ( apply @ SV49 @ SY352 @ SY354 ) )
| ~ ( apply @ SV39 @ SY352 @ SY353 ) )
| ~ ( apply @ SV39 @ SY354 @ SY355 ) )
| ( apply @ SY351 @ SY353 @ SY355 ) ) )
| ~ ( ~ ! [SY356: $i,SY357: $i,SY358: $i,SY359: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY356 @ SV44 )
| ~ ( member @ SY357 @ SV52 ) )
| ~ ( member @ SY358 @ SV44 ) )
| ~ ( member @ SY359 @ SV52 ) )
| ~ ( apply @ SV49 @ SY356 @ SY358 ) )
| ~ ( apply @ SV39 @ SY356 @ SY357 ) )
| ~ ( apply @ SV39 @ SY358 @ SY359 ) )
| ( apply @ SY351 @ SY357 @ SY359 ) )
| ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SY351 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(456,plain,
( ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
| ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(457,plain,
! [SV53: $i,SV50: $i,SV45: $i,SV40: $i,SV35: $i] :
( ( ~ ( ~ ( ~ ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
| ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
| ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(458,plain,
! [SV46: $i,SV41: $i,SV36: $i] :
( ( ~ ( ~ ( maps @ SV36 @ SV41 @ SV46 )
| ~ ( ~ ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) )
| ~ ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(459,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) )
| ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
| ( maps @ SV36 @ SV41 @ SV46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(460,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ~ ( ~ ( one_to_one @ SV37 @ SV42 @ SV47 )
| ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(461,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ~ ( ~ ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
| ( one_to_one @ SV37 @ SV42 @ SV47 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(462,plain,
! [SV38: $i,SV48: $i,SV54: $i,SV43: $i,SV51: $i] :
( ( ~ ~ ( ~ ( member @ SV51 @ SV43 )
| ~ ( member @ SV54 @ SV48 ) )
| ~ ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(463,plain,
! [SV55: $i,SV52: $i,SV49: $i,SV44: $i,SV39: $i] :
( ( ~ ( ~ ( ~ ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
| ! [SY368: $i,SY369: $i,SY370: $i,SY371: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY368 @ SV44 )
| ~ ( member @ SY369 @ SV52 ) )
| ~ ( member @ SY370 @ SV44 ) )
| ~ ( member @ SY371 @ SV52 ) )
| ~ ( apply @ SV49 @ SY368 @ SY370 ) )
| ~ ( apply @ SV39 @ SY368 @ SY369 ) )
| ~ ( apply @ SV39 @ SY370 @ SY371 ) )
| ( apply @ SV55 @ SY369 @ SY371 ) ) )
| ~ ( ~ ! [SY372: $i,SY373: $i,SY374: $i,SY375: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY372 @ SV44 )
| ~ ( member @ SY373 @ SV52 ) )
| ~ ( member @ SY374 @ SV44 ) )
| ~ ( member @ SY375 @ SV52 ) )
| ~ ( apply @ SV49 @ SY372 @ SY374 ) )
| ~ ( apply @ SV39 @ SY372 @ SY373 ) )
| ~ ( apply @ SV39 @ SY374 @ SY375 ) )
| ( apply @ SV55 @ SY373 @ SY375 ) )
| ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(464,plain,
( ( ~ ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(465,plain,
( ( ~ ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(466,plain,
! [SV53: $i,SV50: $i,SV45: $i,SV40: $i,SV35: $i] :
( ( ~ ( ~ ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
| ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
| ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(467,plain,
! [SV46: $i,SV41: $i,SV36: $i] :
( ( ~ ( maps @ SV36 @ SV41 @ SV46 )
| ~ ( ~ ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) )
| ~ ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(468,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ~ ~ ( ~ ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) )
| ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
| ( maps @ SV36 @ SV41 @ SV46 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(469,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ~ ( one_to_one @ SV37 @ SV42 @ SV47 )
| ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(470,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ~ ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
| ( one_to_one @ SV37 @ SV42 @ SV47 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(471,plain,
! [SV38: $i,SV48: $i,SV54: $i,SV43: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( member @ SV51 @ SV43 )
| ~ ( member @ SV54 @ SV48 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(472,plain,
! [SV55: $i,SV52: $i,SV49: $i,SV44: $i,SV39: $i] :
( ( ~ ( ~ ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
| ! [SY368: $i,SY369: $i,SY370: $i,SY371: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY368 @ SV44 )
| ~ ( member @ SY369 @ SV52 ) )
| ~ ( member @ SY370 @ SV44 ) )
| ~ ( member @ SY371 @ SV52 ) )
| ~ ( apply @ SV49 @ SY368 @ SY370 ) )
| ~ ( apply @ SV39 @ SY368 @ SY369 ) )
| ~ ( apply @ SV39 @ SY370 @ SY371 ) )
| ( apply @ SV55 @ SY369 @ SY371 ) ) )
| ~ ( ~ ! [SY372: $i,SY373: $i,SY374: $i,SY375: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY372 @ SV44 )
| ~ ( member @ SY373 @ SV52 ) )
| ~ ( member @ SY374 @ SV44 ) )
| ~ ( member @ SY375 @ SV52 ) )
| ~ ( apply @ SV49 @ SY372 @ SY374 ) )
| ~ ( apply @ SV39 @ SY372 @ SY373 ) )
| ~ ( apply @ SV39 @ SY374 @ SY375 ) )
| ( apply @ SV55 @ SY373 @ SY375 ) )
| ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(473,plain,
( ( increasing @ sK1_F @ sK2_SY39 @ sK4_SY46 @ sK3_SY43 @ sK5_SY48 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(474,plain,
( ( increasing @ ( inverse_function @ sK1_F @ sK2_SY39 @ sK3_SY43 ) @ sK3_SY43 @ sK5_SY48 @ sK2_SY39 @ sK4_SY46 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(475,plain,
! [SV53: $i,SV50: $i,SV45: $i,SV40: $i,SV35: $i] :
( ( ~ ( ~ ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
| ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(476,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
| ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(477,plain,
! [SV46: $i,SV41: $i,SV36: $i] :
( ( ( ~ ( maps @ SV36 @ SV41 @ SV46 ) )
= $true )
| ( ( ~ ( ~ ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) )
| ~ ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(478,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) )
| ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(479,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( ~ ( one_to_one @ SV37 @ SV42 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(480,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) ) )
= $true )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(481,plain,
! [SV38: $i,SV48: $i,SV54: $i,SV43: $i,SV51: $i] :
( ( ( ~ ( ~ ( member @ SV51 @ SV43 )
| ~ ( member @ SV54 @ SV48 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(482,plain,
! [SV55: $i,SV52: $i,SV49: $i,SV44: $i,SV39: $i] :
( ( ~ ( ~ ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
| ! [SY368: $i,SY369: $i,SY370: $i,SY371: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY368 @ SV44 )
| ~ ( member @ SY369 @ SV52 ) )
| ~ ( member @ SY370 @ SV44 ) )
| ~ ( member @ SY371 @ SV52 ) )
| ~ ( apply @ SV49 @ SY368 @ SY370 ) )
| ~ ( apply @ SV39 @ SY368 @ SY369 ) )
| ~ ( apply @ SV39 @ SY370 @ SY371 ) )
| ( apply @ SV55 @ SY369 @ SY371 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(483,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ~ ( ~ ! [SY372: $i,SY373: $i,SY374: $i,SY375: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY372 @ SV44 )
| ~ ( member @ SY373 @ SV52 ) )
| ~ ( member @ SY374 @ SV44 ) )
| ~ ( member @ SY375 @ SV52 ) )
| ~ ( apply @ SV49 @ SY372 @ SY374 ) )
| ~ ( apply @ SV39 @ SY372 @ SY373 ) )
| ~ ( apply @ SV39 @ SY374 @ SY375 ) )
| ( apply @ SV55 @ SY373 @ SY375 ) )
| ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(484,plain,
! [SV53: $i,SV50: $i,SV45: $i,SV40: $i,SV35: $i] :
( ( ~ ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
| ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(485,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
| ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(486,plain,
! [SV46: $i,SV41: $i,SV36: $i] :
( ( ( maps @ SV36 @ SV41 @ SV46 )
= $false )
| ( ( ~ ( ~ ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) )
| ~ ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(487,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ( ~ ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) )
| ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) ) )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(488,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $false )
| ( ( ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(489,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( ~ ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) ) )
= $false )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(490,plain,
! [SV38: $i,SV48: $i,SV54: $i,SV43: $i,SV51: $i] :
( ( ( ~ ( member @ SV51 @ SV43 )
| ~ ( member @ SV54 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(491,plain,
! [SV55: $i,SV52: $i,SV49: $i,SV44: $i,SV39: $i] :
( ( ~ ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
| ! [SY368: $i,SY369: $i,SY370: $i,SY371: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY368 @ SV44 )
| ~ ( member @ SY369 @ SV52 ) )
| ~ ( member @ SY370 @ SV44 ) )
| ~ ( member @ SY371 @ SV52 ) )
| ~ ( apply @ SV49 @ SY368 @ SY370 ) )
| ~ ( apply @ SV39 @ SY368 @ SY369 ) )
| ~ ( apply @ SV39 @ SY370 @ SY371 ) )
| ( apply @ SV55 @ SY369 @ SY371 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(492,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ~ ! [SY372: $i,SY373: $i,SY374: $i,SY375: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY372 @ SV44 )
| ~ ( member @ SY373 @ SV52 ) )
| ~ ( member @ SY374 @ SV44 ) )
| ~ ( member @ SY375 @ SV52 ) )
| ~ ( apply @ SV49 @ SY372 @ SY374 ) )
| ~ ( apply @ SV39 @ SY372 @ SY373 ) )
| ~ ( apply @ SV39 @ SY374 @ SY375 ) )
| ( apply @ SV55 @ SY373 @ SY375 ) )
| ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(493,plain,
! [SV53: $i,SV50: $i,SV45: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(494,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(495,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) )
| ~ ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(496,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) )
| ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(497,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
= $false )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(498,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( ~ ( injective @ SV37 @ SV42 @ SV47 )
| ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
= $true )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(499,plain,
! [SV38: $i,SV48: $i,SV54: $i,SV43: $i,SV51: $i] :
( ( ( ~ ( member @ SV51 @ SV43 ) )
= $true )
| ( ( ~ ( member @ SV54 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(500,plain,
! [SV55: $i,SV52: $i,SV49: $i,SV44: $i,SV39: $i] :
( ( ( ~ ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 ) )
= $true )
| ( ( ! [SY368: $i,SY369: $i,SY370: $i,SY371: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY368 @ SV44 )
| ~ ( member @ SY369 @ SV52 ) )
| ~ ( member @ SY370 @ SV44 ) )
| ~ ( member @ SY371 @ SV52 ) )
| ~ ( apply @ SV49 @ SY368 @ SY370 ) )
| ~ ( apply @ SV39 @ SY368 @ SY369 ) )
| ~ ( apply @ SV39 @ SY370 @ SY371 ) )
| ( apply @ SV55 @ SY369 @ SY371 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(501,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ( ~ ! [SY372: $i,SY373: $i,SY374: $i,SY375: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY372 @ SV44 )
| ~ ( member @ SY373 @ SV52 ) )
| ~ ( member @ SY374 @ SV44 ) )
| ~ ( member @ SY375 @ SV52 ) )
| ~ ( apply @ SV49 @ SY372 @ SY374 ) )
| ~ ( apply @ SV39 @ SY372 @ SY373 ) )
| ~ ( apply @ SV39 @ SY374 @ SY375 ) )
| ( apply @ SV55 @ SY373 @ SY375 ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(502,plain,
! [SV53: $i,SV50: $i,SV45: $i,SV40: $i,SV35: $i] :
( ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(503,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) ) )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(504,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) ) )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(505,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(506,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) ) )
= $true )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(507,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( ~ ( injective @ SV37 @ SV42 @ SV47 ) )
= $false )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(508,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
= $false )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(509,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( ~ ( injective @ SV37 @ SV42 @ SV47 ) )
= $true )
| ( ( ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
= $true )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(510,plain,
! [SV38: $i,SV48: $i,SV54: $i,SV43: $i,SV51: $i] :
( ( ( member @ SV51 @ SV43 )
= $false )
| ( ( ~ ( member @ SV54 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(511,plain,
! [SV55: $i,SV52: $i,SV49: $i,SV44: $i,SV39: $i] :
( ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false )
| ( ( ! [SY368: $i,SY369: $i,SY370: $i,SY371: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY368 @ SV44 )
| ~ ( member @ SY369 @ SV52 ) )
| ~ ( member @ SY370 @ SV44 ) )
| ~ ( member @ SY371 @ SV52 ) )
| ~ ( apply @ SV49 @ SY368 @ SY370 ) )
| ~ ( apply @ SV39 @ SY368 @ SY369 ) )
| ~ ( apply @ SV39 @ SY370 @ SY371 ) )
| ( apply @ SV55 @ SY369 @ SY371 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(512,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ( ! [SY372: $i,SY373: $i,SY374: $i,SY375: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY372 @ SV44 )
| ~ ( member @ SY373 @ SV52 ) )
| ~ ( member @ SY374 @ SV44 ) )
| ~ ( member @ SY375 @ SV52 ) )
| ~ ( apply @ SV49 @ SY372 @ SY374 ) )
| ~ ( apply @ SV39 @ SY372 @ SY373 ) )
| ~ ( apply @ SV39 @ SY374 @ SY375 ) )
| ( apply @ SV55 @ SY373 @ SY375 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(513,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(514,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
| ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(515,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ! [SY319: $i] :
( ~ ( member @ SY319 @ SV41 )
| ~ ! [SY320: $i] :
~ ~ ( ~ ( member @ SY320 @ SV46 )
| ~ ( apply @ SV36 @ SY319 @ SY320 ) ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(516,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ! [SY321: $i,SY322: $i,SY323: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY321 @ SV41 )
| ~ ( member @ SY322 @ SV46 ) )
| ~ ( member @ SY323 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY321 @ SY322 )
| ~ ( apply @ SV36 @ SY321 @ SY323 ) )
| ( SY322 = SY323 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(517,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ! [SY324: $i] :
( ~ ( member @ SY324 @ SV41 )
| ~ ! [SY325: $i] :
~ ~ ( ~ ( member @ SY325 @ SV46 )
| ~ ( apply @ SV36 @ SY324 @ SY325 ) ) ) )
= $false )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(518,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( injective @ SV37 @ SV42 @ SV47 )
= $true )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(519,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( surjective @ SV37 @ SV42 @ SV47 )
= $true )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(520,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( injective @ SV37 @ SV42 @ SV47 )
= $false )
| ( ( ~ ( surjective @ SV37 @ SV42 @ SV47 ) )
= $true )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(521,plain,
! [SV38: $i,SV43: $i,SV51: $i,SV48: $i,SV54: $i] :
( ( ( member @ SV54 @ SV48 )
= $false )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( ~ ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(522,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i,SV56: $i] :
( ( ( ! [SY376: $i,SY377: $i,SY378: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SY376 @ SV52 ) )
| ~ ( member @ SY377 @ SV44 ) )
| ~ ( member @ SY378 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SY377 ) )
| ~ ( apply @ SV39 @ SV56 @ SY376 ) )
| ~ ( apply @ SV39 @ SY377 @ SY378 ) )
| ( apply @ SV55 @ SY376 @ SY378 ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(523,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ! [SY379: $i,SY380: $i,SY381: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ SY379 @ SV52 ) )
| ~ ( member @ SY380 @ SV44 ) )
| ~ ( member @ SY381 @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SY380 ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SY379 ) )
| ~ ( apply @ SV39 @ SY380 @ SY381 ) )
| ( apply @ SV55 @ SY379 @ SY381 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[512]) ).
thf(524,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) ) )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(525,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( ~ ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(526,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) ) )
= $true )
| ( ( ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(527,plain,
! [SV36: $i,SV46: $i,SV41: $i,SV57: $i] :
( ( ( ~ ( member @ SV57 @ SV41 )
| ~ ! [SY382: $i] :
~ ~ ( ~ ( member @ SY382 @ SV46 )
| ~ ( apply @ SV36 @ SV57 @ SY382 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(528,plain,
! [SV36: $i,SV46: $i,SV41: $i,SV58: $i] :
( ( ( ! [SY383: $i,SY384: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SY383 @ SV46 ) )
| ~ ( member @ SY384 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SY383 )
| ~ ( apply @ SV36 @ SV58 @ SY384 ) )
| ( SY383 = SY384 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(529,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ! [SY385: $i] :
~ ~ ( ~ ( member @ SY385 @ SV46 )
| ~ ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SY385 ) ) )
= $false )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[517]) ).
thf(530,plain,
! [SV47: $i,SV42: $i,SV37: $i] :
( ( ( surjective @ SV37 @ SV42 @ SV47 )
= $false )
| ( ( injective @ SV37 @ SV42 @ SV47 )
= $false )
| ( ( one_to_one @ SV37 @ SV42 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(531,plain,
! [SV48: $i,SV43: $i,SV54: $i,SV51: $i,SV38: $i] :
( ( ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
| ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) )
= $false )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(532,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ! [SY386: $i,SY387: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SY386 @ SV44 ) )
| ~ ( member @ SY387 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SY386 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) )
| ~ ( apply @ SV39 @ SY386 @ SY387 ) )
| ( apply @ SV55 @ SV59 @ SY387 ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(533,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ! [SY388: $i,SY389: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ SY388 @ SV44 ) )
| ~ ( member @ SY389 @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SY388 ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ SY388 @ SY389 ) )
| ( apply @ SV55 @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SY389 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[523]) ).
thf(534,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(535,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( ! [SY360: $i,SY361: $i,SY362: $i,SY363: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY360 @ SV40 )
| ~ ( member @ SY361 @ SV50 ) )
| ~ ( member @ SY362 @ SV40 ) )
| ~ ( member @ SY363 @ SV50 ) )
| ~ ( apply @ SV35 @ SY360 @ SY361 ) )
| ~ ( apply @ SV35 @ SY362 @ SY363 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY360 @ SY362 )
| ( apply @ SV53 @ SY361 @ SY363 ) )
| ~ ( ~ ( apply @ SV53 @ SY361 @ SY363 )
| ( apply @ SV45 @ SY360 @ SY362 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(536,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) ) )
= $false )
| ( ( ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(537,plain,
! [SV36: $i,SV46: $i,SV41: $i,SV57: $i] :
( ( ( ~ ( member @ SV57 @ SV41 ) )
= $true )
| ( ( ~ ! [SY382: $i] :
~ ~ ( ~ ( member @ SY382 @ SV46 )
| ~ ( apply @ SV36 @ SV57 @ SY382 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(538,plain,
! [SV36: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ! [SY390: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SV60 @ SV46 ) )
| ~ ( member @ SY390 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SY390 ) )
| ( SV60 = SY390 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(539,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 ) )
= $false )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(540,plain,
! [SV41: $i,SV36: $i,SV46: $i] :
( ( ( ~ ! [SY385: $i] :
~ ~ ( ~ ( member @ SY385 @ SV46 )
| ~ ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SY385 ) ) )
= $false )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(541,plain,
! [SV48: $i,SV43: $i,SV54: $i,SV51: $i,SV38: $i] :
( ( ( ~ ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) ) )
= $false )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(542,plain,
! [SV51: $i,SV54: $i,SV48: $i,SV43: $i,SV38: $i] :
( ( ( ~ ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) ) )
= $false )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(543,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ! [SY391: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SY391 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) )
| ~ ( apply @ SV39 @ SV61 @ SY391 ) )
| ( apply @ SV55 @ SV59 @ SY391 ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(544,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ! [SY392: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ SY392 @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SY392 ) )
| ( apply @ SV55 @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SY392 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[533]) ).
thf(545,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(546,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i,SV62: $i] :
( ( ( ! [SY393: $i,SY394: $i,SY395: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SY393 @ SV50 ) )
| ~ ( member @ SY394 @ SV40 ) )
| ~ ( member @ SY395 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SY393 ) )
| ~ ( apply @ SV35 @ SY394 @ SY395 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SY394 )
| ( apply @ SV53 @ SY393 @ SY395 ) )
| ~ ( ~ ( apply @ SV53 @ SY393 @ SY395 )
| ( apply @ SV45 @ SV62 @ SY394 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(547,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( maps @ SV35 @ SV40 @ SV50 )
| ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
= $true )
| ( ( ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(548,plain,
! [SV36: $i,SV46: $i,SV41: $i,SV57: $i] :
( ( ( member @ SV57 @ SV41 )
= $false )
| ( ( ~ ! [SY382: $i] :
~ ~ ( ~ ( member @ SY382 @ SV46 )
| ~ ( apply @ SV36 @ SV57 @ SY382 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(549,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SV60 @ SV46 ) )
| ~ ( member @ SV63 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(550,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(551,plain,
! [SV41: $i,SV36: $i,SV46: $i] :
( ( ( ! [SY385: $i] :
~ ~ ( ~ ( member @ SY385 @ SV46 )
| ~ ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SY385 ) ) )
= $true )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(552,plain,
! [SV48: $i,SV43: $i,SV54: $i,SV51: $i,SV38: $i] :
( ( ( ~ ( apply @ SV38 @ SV51 @ SV54 )
| ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
= $true )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(553,plain,
! [SV51: $i,SV54: $i,SV48: $i,SV43: $i,SV38: $i] :
( ( ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
| ( apply @ SV38 @ SV51 @ SV54 ) )
= $true )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(554,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) )
| ~ ( apply @ SV39 @ SV61 @ SV64 ) )
| ( apply @ SV55 @ SV59 @ SV64 ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(555,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ( apply @ SV55 @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[544]) ).
thf(556,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( maps @ SV35 @ SV40 @ SV50 ) )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(557,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(558,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ! [SY396: $i,SY397: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SY396 @ SV40 ) )
| ~ ( member @ SY397 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) )
| ~ ( apply @ SV35 @ SY396 @ SY397 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SY396 )
| ( apply @ SV53 @ SV65 @ SY397 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SY397 )
| ( apply @ SV45 @ SV62 @ SY396 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(559,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( maps @ SV35 @ SV40 @ SV50 ) )
= $true )
| ( ( ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
= $true )
| ( ( ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(560,plain,
! [SV41: $i,SV57: $i,SV36: $i,SV46: $i] :
( ( ( ! [SY382: $i] :
~ ~ ( ~ ( member @ SY382 @ SV46 )
| ~ ( apply @ SV36 @ SV57 @ SY382 ) ) )
= $false )
| ( ( member @ SV57 @ SV41 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(561,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SV60 @ SV46 ) )
| ~ ( member @ SV63 @ SV46 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(562,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(563,plain,
! [SV41: $i,SV36: $i,SV46: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ( member @ SV66 @ SV46 )
| ~ ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 ) ) )
= $true )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(564,plain,
! [SV48: $i,SV43: $i,SV54: $i,SV51: $i,SV38: $i] :
( ( ( ~ ( apply @ SV38 @ SV51 @ SV54 ) )
= $true )
| ( ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
= $true )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(565,plain,
! [SV51: $i,SV54: $i,SV48: $i,SV43: $i,SV38: $i] :
( ( ( ~ ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 ) )
= $true )
| ( ( apply @ SV38 @ SV51 @ SV54 )
= $true )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(566,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) )
| ~ ( apply @ SV39 @ SV61 @ SV64 ) ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(567,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(568,plain,
! [SV39: $i,SV49: $i,SV52: $i,SV44: $i,SV55: $i] :
( ( ( apply @ SV55 @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(569,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( maps @ SV35 @ SV40 @ SV50 )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(570,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(571,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ! [SY398: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SY398 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) )
| ~ ( apply @ SV35 @ SV67 @ SY398 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SY398 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SY398 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(572,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( ~ ( one_to_one @ SV35 @ SV40 @ SV50 ) )
= $true )
| ( ( ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(573,plain,
! [SV46: $i,SV36: $i,SV57: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) @ SV46 )
| ~ ( apply @ SV36 @ SV57 @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) ) ) )
= $false )
| ( ( member @ SV57 @ SV41 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[560]) ).
thf(574,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SV60 @ SV46 ) )
| ~ ( member @ SV63 @ SV46 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(575,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ! [SY399: $i,SY400: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ SY399 @ SV46 ) )
| ~ ( member @ SY400 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SY399 )
| ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SY400 ) )
| ( SY399 = SY400 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[562]) ).
thf(576,plain,
! [SV41: $i,SV36: $i,SV46: $i,SV66: $i] :
( ( ( ~ ( ~ ( member @ SV66 @ SV46 )
| ~ ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 ) ) )
= $false )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(577,plain,
! [SV48: $i,SV43: $i,SV54: $i,SV51: $i,SV38: $i] :
( ( ( apply @ SV38 @ SV51 @ SV54 )
= $false )
| ( ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
= $true )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(578,plain,
! [SV51: $i,SV54: $i,SV48: $i,SV43: $i,SV38: $i] :
( ( ( apply @ ( inverse_function @ SV38 @ SV43 @ SV48 ) @ SV54 @ SV51 )
= $false )
| ( ( apply @ SV38 @ SV51 @ SV54 )
= $true )
| ( ( member @ SV51 @ SV43 )
= $false )
| ( ( member @ SV54 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(579,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) )
| ~ ( apply @ SV39 @ SV61 @ SV64 ) ) )
= $false )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(580,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(581,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) )
| ~ ( apply @ SV35 @ SV67 @ SV68 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(582,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( ~ ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(583,plain,
! [SV46: $i,SV36: $i,SV57: $i,SV41: $i] :
( ( ( ~ ( ~ ( member @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) @ SV46 )
| ~ ( apply @ SV36 @ SV57 @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) ) ) )
= $true )
| ( ( member @ SV57 @ SV41 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(584,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SV60 @ SV46 ) )
| ~ ( member @ SV63 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(585,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ! [SY401: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
| ~ ( member @ SY401 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) )
| ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SY401 ) )
| ( ( sK29_SY399 @ SV41 @ SV46 @ SV36 )
= SY401 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[575]) ).
thf(586,plain,
! [SV41: $i,SV36: $i,SV46: $i,SV66: $i] :
( ( ( ~ ( member @ SV66 @ SV46 )
| ~ ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 ) )
= $true )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(587,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) )
| ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(588,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(589,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) )
| ~ ( apply @ SV35 @ SV67 @ SV68 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(590,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( ! [SY364: $i,SY365: $i,SY366: $i,SY367: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SY364 @ SV40 )
| ~ ( member @ SY365 @ SV50 ) )
| ~ ( member @ SY366 @ SV40 ) )
| ~ ( member @ SY367 @ SV50 ) )
| ~ ( apply @ SV35 @ SY364 @ SY365 ) )
| ~ ( apply @ SV35 @ SY366 @ SY367 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ SY364 @ SY366 )
| ( apply @ SV53 @ SY365 @ SY367 ) )
| ~ ( ~ ( apply @ SV53 @ SY365 @ SY367 )
| ( apply @ SV45 @ SY364 @ SY366 ) ) ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(591,plain,
! [SV46: $i,SV36: $i,SV57: $i,SV41: $i] :
( ( ( ~ ( member @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) @ SV46 )
| ~ ( apply @ SV36 @ SV57 @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) ) )
= $false )
| ( ( member @ SV57 @ SV41 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(592,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ~ ~ ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SV60 @ SV46 ) ) )
= $true )
| ( ( ~ ( member @ SV63 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(593,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
| ~ ( member @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) )
| ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) ) )
| ( ( sK29_SY399 @ SV41 @ SV46 @ SV36 )
= ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[585]) ).
thf(594,plain,
! [SV41: $i,SV36: $i,SV46: $i,SV66: $i] :
( ( ( ~ ( member @ SV66 @ SV46 ) )
= $true )
| ( ( ~ ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 ) )
= $true )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(595,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(596,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(597,plain,
! [SV55: $i,SV49: $i,SV52: $i,SV44: $i,SV39: $i] :
( ( ( ~ ( apply @ SV39 @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(598,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) )
| ~ ( apply @ SV35 @ SV67 @ SV68 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(599,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ! [SY402: $i,SY403: $i,SY404: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ SY402 @ SV50 ) )
| ~ ( member @ SY403 @ SV40 ) )
| ~ ( member @ SY404 @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SY402 ) )
| ~ ( apply @ SV35 @ SY403 @ SY404 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SY403 )
| ( apply @ SV53 @ SY402 @ SY404 ) )
| ~ ( ~ ( apply @ SV53 @ SY402 @ SY404 )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SY403 ) ) ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[590]) ).
thf(600,plain,
! [SV46: $i,SV36: $i,SV57: $i,SV41: $i] :
( ( ( ~ ( member @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) @ SV46 ) )
= $false )
| ( ( member @ SV57 @ SV41 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(601,plain,
! [SV46: $i,SV41: $i,SV57: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ SV57 @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) ) )
= $false )
| ( ( member @ SV57 @ SV41 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(602,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ~ ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SV60 @ SV46 ) ) )
= $false )
| ( ( ~ ( member @ SV63 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(603,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
| ~ ( member @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) @ SV46 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(604,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) )
| ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) ) )
| ( ( sK29_SY399 @ SV41 @ SV46 @ SV36 )
= ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(605,plain,
! [SV41: $i,SV36: $i,SV46: $i,SV66: $i] :
( ( ( member @ SV66 @ SV46 )
= $false )
| ( ( ~ ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 ) )
= $true )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(606,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) ) )
= $false )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(607,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(608,plain,
! [SV55: $i,SV49: $i,SV52: $i,SV44: $i,SV39: $i] :
( ( ( apply @ SV39 @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(609,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) )
| ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(610,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ! [SY405: $i,SY406: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ SY405 @ SV40 ) )
| ~ ( member @ SY406 @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( apply @ SV35 @ SY405 @ SY406 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SY405 )
| ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SY406 ) )
| ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SY406 )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SY405 ) ) ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[599]) ).
thf(611,plain,
! [SV46: $i,SV36: $i,SV57: $i,SV41: $i] :
( ( ( member @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) @ SV46 )
= $true )
| ( ( member @ SV57 @ SV41 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(612,plain,
! [SV46: $i,SV41: $i,SV57: $i,SV36: $i] :
( ( ( apply @ SV36 @ SV57 @ ( sK27_SY382 @ SV41 @ SV57 @ SV36 @ SV46 ) )
= $true )
| ( ( member @ SV57 @ SV41 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(613,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ~ ( member @ SV58 @ SV41 )
| ~ ( member @ SV60 @ SV46 ) )
= $true )
| ( ( ~ ( member @ SV63 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(614,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
| ~ ( member @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) @ SV46 ) ) )
= $true )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(615,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) )
| ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(616,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ( sK29_SY399 @ SV41 @ SV46 @ SV36 )
= ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(617,plain,
! [SV66: $i,SV41: $i,SV46: $i,SV36: $i] :
( ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( ~ ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(618,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
| ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(619,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
| ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(620,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(621,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ! [SY407: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ SY407 @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( apply @ SV35 @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SY407 ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SY407 ) )
| ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SY407 )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[610]) ).
thf(622,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( ~ ( member @ SV58 @ SV41 ) )
= $true )
| ( ( ~ ( member @ SV60 @ SV46 ) )
= $true )
| ( ( ~ ( member @ SV63 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(623,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
| ~ ( member @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(624,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) )
| ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) ) ) )
= $true )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(625,plain,
! [SV66: $i,SV36: $i,SV46: $i,SV41: $i] :
( ( ( ! [SY326: $i,SY327: $i,SY328: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY326 @ SV41 )
| ~ ( member @ SY327 @ SV46 ) )
| ~ ( member @ SY328 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ SY326 @ SY327 )
| ~ ( apply @ SV36 @ SY326 @ SY328 ) )
| ( SY327 = SY328 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(626,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(627,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(628,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV55: $i,SV39: $i] :
( ( ( ~ ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(629,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) ) )
= $false )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(630,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( apply @ SV35 @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( ~ ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[621]) ).
thf(631,plain,
! [SV36: $i,SV63: $i,SV46: $i,SV60: $i,SV41: $i,SV58: $i] :
( ( ( member @ SV58 @ SV41 )
= $false )
| ( ( ~ ( member @ SV60 @ SV46 ) )
= $true )
| ( ( ~ ( member @ SV63 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(632,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(633,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ( member @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(634,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) )
| ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(635,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ! [SY408: $i,SY409: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ SY408 @ SV46 ) )
| ~ ( member @ SY409 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SY408 )
| ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SY409 ) )
| ( SY408 = SY409 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[625]) ).
thf(636,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) ) )
= $false )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(637,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(638,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV55: $i,SV39: $i] :
( ( ( apply @ SV39 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(639,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) )
| ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(640,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( apply @ SV35 @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(641,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV53: $i,SV45: $i] :
( ( ( ~ ( ~ ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(642,plain,
! [SV36: $i,SV63: $i,SV41: $i,SV58: $i,SV46: $i,SV60: $i] :
( ( ( member @ SV60 @ SV46 )
= $false )
| ( ( member @ SV58 @ SV41 )
= $false )
| ( ( ~ ( member @ SV63 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(643,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) ) )
= $true )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(644,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( member @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) @ SV46 )
= $true )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(645,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(646,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[634]) ).
thf(647,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ! [SY410: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
| ~ ( member @ SY410 @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) )
| ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SY410 ) )
| ( ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 )
= SY410 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[635]) ).
thf(648,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
| ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(649,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(650,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(651,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( apply @ SV35 @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(652,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV53: $i,SV45: $i] :
( ( ( ~ ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(653,plain,
! [SV36: $i,SV60: $i,SV41: $i,SV58: $i,SV46: $i,SV63: $i] :
( ( ( member @ SV63 @ SV46 )
= $false )
| ( ( member @ SV58 @ SV41 )
= $false )
| ( ( member @ SV60 @ SV46 )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
| ( SV60 = SV63 ) )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(654,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(655,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) )
= $true )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(656,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( apply @ SV36 @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ ( sK30_SY401 @ SV41 @ SV46 @ SV36 ) )
= $true )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(657,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
| ~ ( member @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
| ~ ~ ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) )
| ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) ) )
| ( ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 )
= ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[647]) ).
thf(658,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(659,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[649]) ).
thf(660,plain,
! [SV44: $i,SV52: $i,SV39: $i,SV55: $i,SV49: $i] :
( ( ( ~ ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[649]) ).
thf(661,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) ) )
= $false )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(662,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
| ~ ( apply @ SV35 @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(663,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV53: $i,SV45: $i] :
( ( ( ~ ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(664,plain,
! [SV41: $i,SV46: $i,SV63: $i,SV60: $i,SV58: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) ) )
= $true )
| ( ( SV60 = SV63 )
= $true )
| ( ( member @ SV60 @ SV46 )
= $false )
| ( ( member @ SV58 @ SV41 )
= $false )
| ( ( member @ SV63 @ SV46 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(665,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( ~ ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(666,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 ) )
= $false )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(667,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
| ~ ( member @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(668,plain,
! [SV41: $i,SV46: $i,SV66: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) )
| ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) ) )
| ( ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 )
= ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(669,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) ) )
= $false )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(670,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(671,plain,
! [SV44: $i,SV52: $i,SV39: $i,SV55: $i,SV49: $i] :
( ( ( apply @ SV49 @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(672,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
| ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(673,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(674,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( ~ ( apply @ SV35 @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(675,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV53: $i,SV45: $i] :
( ( ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(676,plain,
! [SV41: $i,SV46: $i,SV63: $i,SV60: $i,SV58: $i,SV36: $i] :
( ( ( ~ ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) ) )
= $false )
| ( ( SV60 = SV63 )
= $true )
| ( ( member @ SV60 @ SV46 )
= $false )
| ( ( member @ SV58 @ SV41 )
= $false )
| ( ( member @ SV63 @ SV46 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(677,plain,
! [SV41: $i,SV46: $i,SV36: $i] :
( ( ( member @ ( sK28_SY326 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(678,plain,
! [SV36: $i,SV46: $i,SV41: $i] :
( ( ( member @ ( sK29_SY399 @ SV41 @ SV46 @ SV36 ) @ SV46 )
= $true )
| ( ( member @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(679,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
| ~ ( member @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) ) )
= $true )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(680,plain,
! [SV41: $i,SV46: $i,SV66: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) )
| ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(681,plain,
! [SV66: $i,SV36: $i,SV46: $i,SV41: $i] :
( ( ( ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 )
= ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(682,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
| ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(683,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
| ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(684,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) ) )
= $true )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(685,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(686,plain,
! [SV53: $i,SV45: $i,SV50: $i,SV40: $i,SV35: $i] :
( ( ( apply @ SV35 @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(687,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV53: $i,SV45: $i] :
( ( ( ~ ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(688,plain,
! [SV45: $i,SV35: $i,SV50: $i,SV40: $i,SV53: $i] :
( ( ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $false )
| ( ( ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(689,plain,
! [SV41: $i,SV46: $i,SV63: $i,SV60: $i,SV58: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ SV58 @ SV60 )
| ~ ( apply @ SV36 @ SV58 @ SV63 ) )
= $true )
| ( ( SV60 = SV63 )
= $true )
| ( ( member @ SV60 @ SV46 )
= $false )
| ( ( member @ SV58 @ SV41 )
= $false )
| ( ( member @ SV63 @ SV46 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(690,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
| ~ ( member @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(691,plain,
! [SV41: $i,SV46: $i,SV66: $i,SV36: $i] :
( ( ( ~ ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) )
| ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) ) ) )
= $true )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(692,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) ) )
= $true )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(693,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(694,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ( ~ ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(695,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) ) )
= $false )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(696,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(697,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV53: $i,SV45: $i] :
( ( ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( ~ ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(698,plain,
! [SV45: $i,SV35: $i,SV50: $i,SV40: $i,SV53: $i] :
( ( ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(699,plain,
! [SV41: $i,SV46: $i,SV63: $i,SV60: $i,SV58: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ SV58 @ SV60 ) )
= $true )
| ( ( ~ ( apply @ SV36 @ SV58 @ SV63 ) )
= $true )
| ( ( SV60 = SV63 )
= $true )
| ( ( member @ SV60 @ SV46 )
= $false )
| ( ( member @ SV58 @ SV41 )
= $false )
| ( ( member @ SV63 @ SV46 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(700,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(701,plain,
! [SV66: $i,SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ( member @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(702,plain,
! [SV41: $i,SV46: $i,SV66: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) )
| ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(703,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) ) )
= $false )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(704,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(705,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ( member @ ( sK26_SY392 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(706,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
| ~ ( member @ SV67 @ SV40 ) )
= $true )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(707,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(708,plain,
! [SV40: $i,SV50: $i,SV45: $i,SV53: $i,SV35: $i] :
( ( ( ~ ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[696]) ).
thf(709,plain,
! [SV45: $i,SV35: $i,SV50: $i,SV40: $i,SV53: $i] :
( ( ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
| ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(710,plain,
! [SV45: $i,SV35: $i,SV50: $i,SV40: $i,SV53: $i] :
( ( ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(711,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV53: $i,SV45: $i] :
( ( ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $false )
| ( ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(712,plain,
! [SV41: $i,SV46: $i,SV63: $i,SV60: $i,SV58: $i,SV36: $i] :
( ( ( apply @ SV36 @ SV58 @ SV60 )
= $false )
| ( ( ~ ( apply @ SV36 @ SV58 @ SV63 ) )
= $true )
| ( ( SV60 = SV63 )
= $true )
| ( ( member @ SV60 @ SV46 )
= $false )
| ( ( member @ SV58 @ SV41 )
= $false )
| ( ( member @ SV63 @ SV46 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(713,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ~ ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) ) )
= $true )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(714,plain,
! [SV66: $i,SV36: $i,SV46: $i,SV41: $i] :
( ( ( member @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 )
= $true )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(715,plain,
! [SV41: $i,SV46: $i,SV66: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(716,plain,
! [SV41: $i,SV46: $i,SV66: $i,SV36: $i] :
( ( ( ~ ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(717,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
| ~ ( member @ SV61 @ SV44 ) )
= $true )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(718,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
| ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(719,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) ) )
= $true )
| ( ( ~ ( member @ SV67 @ SV40 ) )
= $true )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(720,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(721,plain,
! [SV40: $i,SV50: $i,SV45: $i,SV53: $i,SV35: $i] :
( ( ( apply @ SV35 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(722,plain,
! [SV45: $i,SV35: $i,SV50: $i,SV40: $i,SV53: $i] :
( ( ( ~ ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) ) )
= $false )
| ( ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(723,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV53: $i,SV45: $i] :
( ( ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $false )
| ( ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(724,plain,
! [SV45: $i,SV35: $i,SV50: $i,SV40: $i,SV53: $i] :
( ( ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(725,plain,
! [SV41: $i,SV46: $i,SV60: $i,SV63: $i,SV58: $i,SV36: $i] :
( ( ( apply @ SV36 @ SV58 @ SV63 )
= $false )
| ( ( apply @ SV36 @ SV58 @ SV60 )
= $false )
| ( ( SV60 = SV63 )
= $true )
| ( ( member @ SV60 @ SV46 )
= $false )
| ( ( member @ SV58 @ SV41 )
= $false )
| ( ( member @ SV63 @ SV46 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(726,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
| ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(727,plain,
! [SV41: $i,SV46: $i,SV66: $i,SV36: $i] :
( ( ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) )
= $true )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(728,plain,
! [SV41: $i,SV46: $i,SV66: $i,SV36: $i] :
( ( ( apply @ SV36 @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ ( sK37_SY410 @ SV41 @ SV46 @ SV36 @ SV66 ) )
= $true )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(729,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) ) )
= $true )
| ( ( ~ ( member @ SV61 @ SV44 ) )
= $true )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(730,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(731,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ( ~ ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(732,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) ) )
= $false )
| ( ( ~ ( member @ SV67 @ SV40 ) )
= $true )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(733,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
| ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(734,plain,
! [SV45: $i,SV35: $i,SV50: $i,SV40: $i,SV53: $i] :
( ( ( apply @ SV53 @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( apply @ SV45 @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[722]) ).
thf(735,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( ~ ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(736,plain,
! [SV66: $i,SV36: $i,SV46: $i,SV41: $i] :
( ( ( ~ ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 ) )
= $false )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[726]) ).
thf(737,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) ) )
= $false )
| ( ( ~ ( member @ SV61 @ SV44 ) )
= $true )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(738,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) ) )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(739,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ( member @ ( sK25_SY388 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV44 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(740,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ( member @ SV62 @ SV40 )
| ~ ( member @ SV65 @ SV50 ) )
= $true )
| ( ( ~ ( member @ SV67 @ SV40 ) )
= $true )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(741,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(742,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( ~ ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(743,plain,
! [SV41: $i,SV46: $i,SV36: $i,SV66: $i] :
( ( ( member @ ( sK35_SY326 @ SV66 @ SV36 @ SV46 @ SV41 ) @ SV41 )
= $true )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(744,plain,
! [SV66: $i,SV36: $i,SV46: $i,SV41: $i] :
( ( ( member @ ( sK36_SY408 @ SV41 @ SV46 @ SV36 @ SV66 ) @ SV46 )
= $true )
| ( ( member @ SV66 @ SV46 )
= $false )
| ( ( apply @ SV36 @ ( sK23_SY324 @ SV36 @ SV46 @ SV41 ) @ SV66 )
= $false )
| ( ( maps @ SV36 @ SV41 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(745,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ( member @ SV56 @ SV44 )
| ~ ( member @ SV59 @ SV52 ) )
= $true )
| ( ( ~ ( member @ SV61 @ SV44 ) )
= $true )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(746,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
| ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(747,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( ~ ( member @ SV62 @ SV40 ) )
= $true )
| ( ( ~ ( member @ SV65 @ SV50 ) )
= $true )
| ( ( ~ ( member @ SV67 @ SV40 ) )
= $true )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(748,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(749,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( member @ ( sK34_SY407 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(750,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( ~ ( member @ SV56 @ SV44 ) )
= $true )
| ( ( ~ ( member @ SV59 @ SV52 ) )
= $true )
| ( ( ~ ( member @ SV61 @ SV44 ) )
= $true )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(751,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( ~ ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(752,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ( ~ ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 ) )
= $false )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(753,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV50: $i,SV65: $i,SV40: $i,SV62: $i] :
( ( ( member @ SV62 @ SV40 )
= $false )
| ( ( ~ ( member @ SV65 @ SV50 ) )
= $true )
| ( ( ~ ( member @ SV67 @ SV40 ) )
= $true )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(754,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
| ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(755,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i] :
( ( ( member @ SV56 @ SV44 )
= $false )
| ( ( ~ ( member @ SV59 @ SV52 ) )
= $true )
| ( ( ~ ( member @ SV61 @ SV44 ) )
= $true )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(756,plain,
! [SV44: $i,SV52: $i,SV49: $i,SV39: $i,SV55: $i] :
( ( ( member @ ( sK22_SY372 @ SV55 @ SV39 @ SV49 @ SV52 @ SV44 ) @ SV44 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(757,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV52: $i,SV44: $i] :
( ( ( member @ ( sK24_SY379 @ SV44 @ SV52 @ SV49 @ SV39 @ SV55 ) @ SV52 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(758,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV67: $i,SV40: $i,SV62: $i,SV50: $i,SV65: $i] :
( ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( ~ ( member @ SV67 @ SV40 ) )
= $true )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(759,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(760,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( ~ ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[754]) ).
thf(761,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV61: $i,SV44: $i,SV56: $i,SV52: $i,SV59: $i] :
( ( ( member @ SV59 @ SV52 )
= $false )
| ( ( member @ SV56 @ SV44 )
= $false )
| ( ( ~ ( member @ SV61 @ SV44 ) )
= $true )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(762,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV68: $i,SV50: $i,SV65: $i,SV62: $i,SV40: $i,SV67: $i] :
( ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( ~ ( member @ SV68 @ SV50 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(763,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) ) )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(764,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( member @ ( sK33_SY405 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV40 )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(765,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV64: $i,SV52: $i,SV59: $i,SV56: $i,SV44: $i,SV61: $i] :
( ( ( member @ SV61 @ SV44 )
= $false )
| ( ( member @ SV56 @ SV44 )
= $false )
| ( ( member @ SV59 @ SV52 )
= $false )
| ( ( ~ ( member @ SV64 @ SV52 ) )
= $true )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(766,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV67: $i,SV40: $i,SV62: $i,SV65: $i,SV50: $i,SV68: $i] :
( ( ( member @ SV68 @ SV50 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( ~ ( apply @ SV35 @ SV62 @ SV65 ) )
= $true )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(767,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
| ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(768,plain,
! [SV55: $i,SV39: $i,SV49: $i,SV61: $i,SV44: $i,SV56: $i,SV59: $i,SV52: $i,SV64: $i] :
( ( ( member @ SV64 @ SV52 )
= $false )
| ( ( member @ SV59 @ SV52 )
= $false )
| ( ( member @ SV56 @ SV44 )
= $false )
| ( ( member @ SV61 @ SV44 )
= $false )
| ( ( ~ ( apply @ SV49 @ SV56 @ SV61 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(769,plain,
! [SV53: $i,SV45: $i,SV68: $i,SV50: $i,SV40: $i,SV67: $i,SV65: $i,SV62: $i,SV35: $i] :
( ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( ~ ( apply @ SV35 @ SV67 @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(770,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( ~ ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(771,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( ~ ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 ) )
= $false )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(772,plain,
! [SV55: $i,SV39: $i,SV64: $i,SV52: $i,SV59: $i,SV44: $i,SV61: $i,SV56: $i,SV49: $i] :
( ( ( apply @ SV49 @ SV56 @ SV61 )
= $false )
| ( ( member @ SV61 @ SV44 )
= $false )
| ( ( member @ SV56 @ SV44 )
= $false )
| ( ( member @ SV59 @ SV52 )
= $false )
| ( ( member @ SV64 @ SV52 )
= $false )
| ( ( ~ ( apply @ SV39 @ SV56 @ SV59 ) )
= $true )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(773,plain,
! [SV53: $i,SV45: $i,SV40: $i,SV62: $i,SV65: $i,SV50: $i,SV68: $i,SV67: $i,SV35: $i] :
( ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( ~ ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) ) )
= $true )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(774,plain,
! [SV40: $i,SV50: $i,SV35: $i,SV45: $i,SV53: $i] :
( ( ( member @ ( sK31_SY364 @ SV53 @ SV45 @ SV35 @ SV50 @ SV40 ) @ SV40 )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(775,plain,
! [SV53: $i,SV45: $i,SV35: $i,SV50: $i,SV40: $i] :
( ( ( member @ ( sK32_SY402 @ SV40 @ SV50 @ SV35 @ SV45 @ SV53 ) @ SV50 )
= $true )
| ( ( maps @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( one_to_one @ SV35 @ SV40 @ SV50 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(776,plain,
! [SV55: $i,SV49: $i,SV61: $i,SV44: $i,SV52: $i,SV64: $i,SV59: $i,SV56: $i,SV39: $i] :
( ( ( apply @ SV39 @ SV56 @ SV59 )
= $false )
| ( ( member @ SV64 @ SV52 )
= $false )
| ( ( member @ SV59 @ SV52 )
= $false )
| ( ( member @ SV56 @ SV44 )
= $false )
| ( ( member @ SV61 @ SV44 )
= $false )
| ( ( apply @ SV49 @ SV56 @ SV61 )
= $false )
| ( ( ~ ( apply @ SV39 @ SV61 @ SV64 ) )
= $true )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(777,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV68: $i,SV65: $i,SV53: $i,SV67: $i,SV62: $i,SV45: $i] :
( ( ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
| ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) )
= $false )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(778,plain,
! [SV55: $i,SV52: $i,SV59: $i,SV44: $i,SV56: $i,SV49: $i,SV64: $i,SV61: $i,SV39: $i] :
( ( ( apply @ SV39 @ SV61 @ SV64 )
= $false )
| ( ( apply @ SV49 @ SV56 @ SV61 )
= $false )
| ( ( member @ SV61 @ SV44 )
= $false )
| ( ( member @ SV56 @ SV44 )
= $false )
| ( ( member @ SV59 @ SV52 )
= $false )
| ( ( member @ SV64 @ SV52 )
= $false )
| ( ( apply @ SV39 @ SV56 @ SV59 )
= $false )
| ( ( apply @ SV55 @ SV59 @ SV64 )
= $true )
| ( ( increasing @ SV39 @ SV44 @ SV49 @ SV52 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(779,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV68: $i,SV65: $i,SV53: $i,SV67: $i,SV62: $i,SV45: $i] :
( ( ( ~ ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) ) )
= $false )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(780,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV67: $i,SV62: $i,SV45: $i,SV68: $i,SV65: $i,SV53: $i] :
( ( ( ~ ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) ) )
= $false )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(781,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV68: $i,SV65: $i,SV53: $i,SV67: $i,SV62: $i,SV45: $i] :
( ( ( ~ ( apply @ SV45 @ SV62 @ SV67 )
| ( apply @ SV53 @ SV65 @ SV68 ) )
= $true )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(782,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV67: $i,SV62: $i,SV45: $i,SV68: $i,SV65: $i,SV53: $i] :
( ( ( ~ ( apply @ SV53 @ SV65 @ SV68 )
| ( apply @ SV45 @ SV62 @ SV67 ) )
= $true )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(783,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV68: $i,SV65: $i,SV53: $i,SV67: $i,SV62: $i,SV45: $i] :
( ( ( ~ ( apply @ SV45 @ SV62 @ SV67 ) )
= $true )
| ( ( apply @ SV53 @ SV65 @ SV68 )
= $true )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(784,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV67: $i,SV62: $i,SV45: $i,SV68: $i,SV65: $i,SV53: $i] :
( ( ( ~ ( apply @ SV53 @ SV65 @ SV68 ) )
= $true )
| ( ( apply @ SV45 @ SV62 @ SV67 )
= $true )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(785,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV68: $i,SV65: $i,SV53: $i,SV67: $i,SV62: $i,SV45: $i] :
( ( ( apply @ SV45 @ SV62 @ SV67 )
= $false )
| ( ( apply @ SV53 @ SV65 @ SV68 )
= $true )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(786,plain,
! [SV50: $i,SV40: $i,SV35: $i,SV67: $i,SV62: $i,SV45: $i,SV68: $i,SV65: $i,SV53: $i] :
( ( ( apply @ SV53 @ SV65 @ SV68 )
= $false )
| ( ( apply @ SV45 @ SV62 @ SV67 )
= $true )
| ( ( apply @ SV35 @ SV62 @ SV65 )
= $false )
| ( ( member @ SV67 @ SV40 )
= $false )
| ( ( member @ SV62 @ SV40 )
= $false )
| ( ( member @ SV65 @ SV50 )
= $false )
| ( ( member @ SV68 @ SV50 )
= $false )
| ( ( apply @ SV35 @ SV67 @ SV68 )
= $false )
| ( ( isomorphism @ SV35 @ SV40 @ SV45 @ SV50 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(787,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[423,786,785,778,775,774,764,757,756,749,744,743,739,734,728,727,725,724,723,721,714,711,705,686,681,678,677,671,656,655,644,638,616,612,611,608,578,577,570,569,568,530,519,518,474,473,444,424]) ).
thf(788,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[787,417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET750+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 14:46:15 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 96.70/16.53
% 96.70/16.53 No.of.Axioms: 5
% 96.70/16.53
% 96.70/16.53 Length.of.Defs: 0
% 96.70/16.53
% 96.70/16.53 Contains.Choice.Funs: false
% 96.70/16.53 .........................................
% 96.70/16.53
% 96.70/16.53 ********************************
% 96.70/16.53 * All subproblems solved! *
% 96.70/16.53 ********************************
% 96.70/16.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:7,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:286,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:787,loop_count:0,foatp_calls:1,translation:fof_full)
% 96.70/16.53
% 96.70/16.53 %**** Beginning of derivation protocol ****
% 96.70/16.53 % SZS output start CNFRefutation
% See solution above
% 96.70/16.54
% 96.70/16.54 %**** End of derivation protocol ****
% 96.70/16.54 %**** no. of clauses in derivation: 765 ****
% 96.70/16.54 %**** clause counter: 787 ****
% 96.70/16.54
% 96.70/16.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:7,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:286,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:787,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------