%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SET800+4 : TPTP v9.3.1. Released v3.2.0.
% 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 : n003.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 10:41:06 AM UTC 2026
% Result : Theorem 6.04s 1.23s
% Output : CNFRefutation 6.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 14
% Syntax : Number of formulae : 798 ( 178 unt; 0 typ; 0 def)
% Number of atoms : 8859 (2415 equ; 0 cnn)
% Maximal formula atoms : 14 ( 11 avg)
% Number of connectives : 22004 (4393 ~;3402 |; 90 &;14014 @)
% ( 39 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 78 ( 75 usr; 9 con; 0-4 aty)
% Number of variables : 2789 ( 0 ^;2789 !; 0 ?;2789 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_apply,type,
apply: $i > $i > $i > $o ).
thf(tp_difference,type,
difference: $i > $i > $i ).
thf(tp_empty_set,type,
empty_set: $i ).
thf(tp_equal_set,type,
equal_set: $i > $i > $o ).
thf(tp_greatest,type,
greatest: $i > $i > $i > $o ).
thf(tp_greatest_lower_bound,type,
greatest_lower_bound: $i > $i > $i > $i > $o ).
thf(tp_intersection,type,
intersection: $i > $i > $i ).
thf(tp_least,type,
least: $i > $i > $i > $o ).
thf(tp_least_upper_bound,type,
least_upper_bound: $i > $i > $i > $i > $o ).
thf(tp_lower_bound,type,
lower_bound: $i > $i > $i > $o ).
thf(tp_max,type,
max: $i > $i > $i > $o ).
thf(tp_member,type,
member: $i > $i > $o ).
thf(tp_min,type,
min: $i > $i > $i > $o ).
thf(tp_order,type,
order: $i > $i > $o ).
thf(tp_power_set,type,
power_set: $i > $i ).
thf(tp_product,type,
product: $i > $i ).
thf(tp_sK10_SY147,type,
sK10_SY147: $i > $i > $i ).
thf(tp_sK11_SY173,type,
sK11_SY173: $i > $i > $i > $i ).
thf(tp_sK12_SY201,type,
sK12_SY201: $i > $i > $i ).
thf(tp_sK13_SY177,type,
sK13_SY177: $i > $i > $i > $i ).
thf(tp_sK14_SY187,type,
sK14_SY187: $i > $i > $i > $i ).
thf(tp_sK15_SY191,type,
sK15_SY191: $i > $i > $i > $i ).
thf(tp_sK16_SY136,type,
sK16_SY136: $i > $i > $i ).
thf(tp_sK17_SY137,type,
sK17_SY137: $i > $i > $i ).
thf(tp_sK18_SY137,type,
sK18_SY137: $i > $i > $i ).
thf(tp_sK19_SY203,type,
sK19_SY203: $i > $i > $i ).
thf(tp_sK1_R,type,
sK1_R: $i ).
thf(tp_sK20_SY193,type,
sK20_SY193: $i > $i > $i > $i > $i ).
thf(tp_sK21_SY195,type,
sK21_SY195: $i > $i > $i > $i > $i ).
thf(tp_sK22_SY204,type,
sK22_SY204: $i > $i > $i ).
thf(tp_sK23_SY139,type,
sK23_SY139: $i > $i > $i ).
thf(tp_sK24_SY139,type,
sK24_SY139: $i > $i > $i ).
thf(tp_sK25_SY205,type,
sK25_SY205: $i > $i > $i ).
thf(tp_sK26_SY207,type,
sK26_SY207: $i > $i > $i ).
thf(tp_sK27_SY209,type,
sK27_SY209: $i > $i > $i ).
thf(tp_sK28_SY210,type,
sK28_SY210: $i > $i > $i ).
thf(tp_sK29_SY139,type,
sK29_SY139: $i > $i > $i ).
thf(tp_sK2_SY59,type,
sK2_SY59: $i ).
thf(tp_sK30_SY139,type,
sK30_SY139: $i > $i > $i ).
thf(tp_sK31_SY139,type,
sK31_SY139: $i > $i > $i ).
thf(tp_sK32_SY139,type,
sK32_SY139: $i > $i > $i ).
thf(tp_sK33_SY211,type,
sK33_SY211: $i > $i > $i ).
thf(tp_sK34_SY213,type,
sK34_SY213: $i > $i > $i ).
thf(tp_sK35_SY139,type,
sK35_SY139: $i > $i > $i ).
thf(tp_sK36_SY139,type,
sK36_SY139: $i > $i > $i ).
thf(tp_sK37_SY215,type,
sK37_SY215: $i > $i > $i ).
thf(tp_sK38_SY217,type,
sK38_SY217: $i > $i > $i ).
thf(tp_sK39_SY139,type,
sK39_SY139: $i > $i > $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK40_SY139,type,
sK40_SY139: $i > $i > $i ).
thf(tp_sK41_SY219,type,
sK41_SY219: $i > $i > $i ).
thf(tp_sK42_SY220,type,
sK42_SY220: $i > $i > $i ).
thf(tp_sK43_SY221,type,
sK43_SY221: $i > $i > $i ).
thf(tp_sK44_SY223,type,
sK44_SY223: $i > $i > $i ).
thf(tp_sK45_SY225,type,
sK45_SY225: $i > $i > $i ).
thf(tp_sK46_SY226,type,
sK46_SY226: $i > $i > $i ).
thf(tp_sK47_SY227,type,
sK47_SY227: $i > $i > $i ).
thf(tp_sK48_SY229,type,
sK48_SY229: $i > $i > $i ).
thf(tp_sK49_SY231,type,
sK49_SY231: $i > $i > $i ).
thf(tp_sK4_SY142,type,
sK4_SY142: $i ).
thf(tp_sK50_SY232,type,
sK50_SY232: $i > $i > $i ).
thf(tp_sK51_SY233,type,
sK51_SY233: $i > $i > $i ).
thf(tp_sK52_SY234,type,
sK52_SY234: $i > $i > $i ).
thf(tp_sK5_SY174,type,
sK5_SY174: $i ).
thf(tp_sK6_SY196,type,
sK6_SY196: $i ).
thf(tp_sK7_SY126,type,
sK7_SY126: $i > $i > $i ).
thf(tp_sK8_SY182,type,
sK8_SY182: $i > $i > $i > $i ).
thf(tp_sK9_SY189,type,
sK9_SY189: $i > $i > $i > $i ).
thf(tp_singleton,type,
singleton: $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_sum,type,
sum: $i > $i ).
thf(tp_total_order,type,
total_order: $i > $i > $o ).
thf(tp_union,type,
union: $i > $i > $i ).
thf(tp_unordered_pair,type,
unordered_pair: $i > $i > $i ).
thf(tp_upper_bound,type,
upper_bound: $i > $i > $i > $o ).
thf(1,axiom,
! [A: $i,X: $i,R: $i,E: $i] :
( ( greatest_lower_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( lower_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( lower_bound @ M @ R @ X ) )
=> ( apply @ R @ M @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greatest_lower_bound) ).
thf(2,axiom,
! [A: $i,X: $i,R: $i,E: $i] :
( ( least_upper_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( upper_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( upper_bound @ M @ R @ X ) )
=> ( apply @ R @ A @ M ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',least_upper_bound) ).
thf(3,axiom,
! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',min) ).
thf(4,axiom,
! [R: $i,E: $i,M: $i] :
( ( max @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ M @ X ) )
=> ( M = X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max) ).
thf(5,axiom,
! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',least) ).
thf(6,axiom,
! [R: $i,E: $i,M: $i] :
( ( greatest @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greatest) ).
thf(7,axiom,
! [R: $i,E: $i,M: $i] :
( ( lower_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_bound) ).
thf(8,axiom,
! [R: $i,E: $i,M: $i] :
( ( upper_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_bound) ).
thf(9,axiom,
! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_order) ).
thf(10,axiom,
! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) )
=> ( X = Y ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
thf(19,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_set) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
thf(22,conjecture,
! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X1: $i,X2: $i] :
( ( ( subset @ X1 @ E )
& ( subset @ X2 @ E )
& ( subset @ X1 @ X2 ) )
=> ! [M1: $i,M2: $i] :
( ( ( greatest_lower_bound @ M1 @ X1 @ R @ E )
& ( greatest_lower_bound @ M2 @ X2 @ R @ E ) )
=> ( apply @ R @ M2 @ M1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV12) ).
thf(23,negated_conjecture,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X1: $i,X2: $i] :
( ( ( subset @ X1 @ E )
& ( subset @ X2 @ E )
& ( subset @ X1 @ X2 ) )
=> ! [M1: $i,M2: $i] :
( ( ( greatest_lower_bound @ M1 @ X1 @ R @ E )
& ( greatest_lower_bound @ M2 @ X2 @ R @ E ) )
=> ( apply @ R @ M2 @ M1 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[22]) ).
thf(24,plain,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X1: $i,X2: $i] :
( ( ( subset @ X1 @ E )
& ( subset @ X2 @ E )
& ( subset @ X1 @ X2 ) )
=> ! [M1: $i,M2: $i] :
( ( ( greatest_lower_bound @ M1 @ X1 @ R @ E )
& ( greatest_lower_bound @ M2 @ X2 @ R @ E ) )
=> ( apply @ R @ M2 @ M1 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[23]) ).
thf(25,plain,
( ( ! [A: $i,X: $i,R: $i,E: $i] :
( ( greatest_lower_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( lower_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( lower_bound @ M @ R @ X ) )
=> ( apply @ R @ M @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(26,plain,
( ( ! [A: $i,X: $i,R: $i,E: $i] :
( ( least_upper_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( upper_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( upper_bound @ M @ R @ X ) )
=> ( apply @ R @ A @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(27,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(28,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( max @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ M @ X ) )
=> ( M = X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(29,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(30,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( greatest @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(31,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( lower_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(32,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( upper_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(33,plain,
( ( ! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(34,plain,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) )
=> ( X = Y ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(35,plain,
( ( ! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(38,plain,
( ( ! [SY59: $i] :
( ( order @ sK1_R @ SY59 )
=> ! [SY60: $i,SY61: $i] :
( ( ( subset @ SY60 @ SY59 )
& ( subset @ SY61 @ SY59 )
& ( subset @ SY60 @ SY61 ) )
=> ! [SY62: $i,SY63: $i] :
( ( ( greatest_lower_bound @ SY62 @ SY60 @ sK1_R @ SY59 )
& ( greatest_lower_bound @ SY63 @ SY61 @ sK1_R @ SY59 ) )
=> ( apply @ sK1_R @ SY63 @ SY62 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(39,plain,
( ( ( order @ sK1_R @ sK2_SY59 )
=> ! [SY64: $i,SY65: $i] :
( ( ( subset @ SY64 @ sK2_SY59 )
& ( subset @ SY65 @ sK2_SY59 )
& ( subset @ SY64 @ SY65 ) )
=> ! [SY66: $i,SY67: $i] :
( ( ( greatest_lower_bound @ SY66 @ SY64 @ sK1_R @ sK2_SY59 )
& ( greatest_lower_bound @ SY67 @ SY65 @ sK1_R @ sK2_SY59 ) )
=> ( apply @ sK1_R @ SY67 @ SY66 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(40,plain,
( ( order @ sK1_R @ sK2_SY59 )
= $true ),
inference(standard_cnf,[status(thm)],[39]) ).
thf(41,plain,
( ( ! [SY64: $i,SY65: $i] :
( ( ( subset @ SY64 @ sK2_SY59 )
& ( subset @ SY65 @ sK2_SY59 )
& ( subset @ SY64 @ SY65 ) )
=> ! [SY66: $i,SY67: $i] :
( ( ( greatest_lower_bound @ SY66 @ SY64 @ sK1_R @ sK2_SY59 )
& ( greatest_lower_bound @ SY67 @ SY65 @ sK1_R @ sK2_SY59 ) )
=> ( apply @ sK1_R @ SY67 @ SY66 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[39]) ).
thf(42,plain,
( ( ~ ! [SY64: $i,SY65: $i] :
( ( ( subset @ SY64 @ sK2_SY59 )
& ( subset @ SY65 @ sK2_SY59 )
& ( subset @ SY64 @ SY65 ) )
=> ! [SY66: $i,SY67: $i] :
( ( ( greatest_lower_bound @ SY66 @ SY64 @ sK1_R @ sK2_SY59 )
& ( greatest_lower_bound @ SY67 @ SY65 @ sK1_R @ sK2_SY59 ) )
=> ( apply @ sK1_R @ SY67 @ SY66 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(45,plain,
( ( ! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(46,plain,
( ( ! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) )
=> ( X = Y ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(47,plain,
( ( ! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(48,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( upper_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(49,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( lower_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(50,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( greatest @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(51,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(52,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( max @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ M @ X ) )
=> ( M = X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(53,plain,
( ( ! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(54,plain,
( ( ! [A: $i,X: $i,R: $i,E: $i] :
( ( least_upper_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( upper_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( upper_bound @ M @ R @ X ) )
=> ( apply @ R @ A @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(55,plain,
( ( ! [A: $i,X: $i,R: $i,E: $i] :
( ( greatest_lower_bound @ A @ X @ R @ E )
<=> ( ( member @ A @ X )
& ( lower_bound @ A @ R @ X )
& ! [M: $i] :
( ( ( member @ M @ E )
& ( lower_bound @ M @ R @ X ) )
=> ( apply @ R @ M @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(56,plain,
( ( order @ sK1_R @ sK2_SY59 )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(57,plain,
( ( ~ ! [SY64: $i,SY65: $i] :
( ( ( subset @ SY64 @ sK2_SY59 )
& ( subset @ SY65 @ sK2_SY59 )
& ( subset @ SY64 @ SY65 ) )
=> ! [SY66: $i,SY67: $i] :
( ( ( greatest_lower_bound @ SY66 @ SY64 @ sK1_R @ sK2_SY59 )
& ( greatest_lower_bound @ SY67 @ SY65 @ sK1_R @ sK2_SY59 ) )
=> ( apply @ sK1_R @ SY67 @ SY66 ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(58,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( member @ SX2 @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(59,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( least @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 ) ) )
| ( least @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(60,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( order @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 ) )
| ( SX2 = SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ~ ( member @ SX4 @ SX1 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 ) )
| ( apply @ SX0 @ SX2 @ SX4 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX2 ) )
| ( SX2 = SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ~ ( member @ SX4 @ SX1 ) )
| ~ ~ ( ~ ( apply @ SX0 @ SX2 @ SX3 )
| ~ ( apply @ SX0 @ SX3 @ SX4 ) )
| ( apply @ SX0 @ SX2 @ SX4 ) ) )
| ( order @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(61,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( subset @ SX0 @ sK2_SY59 )
| ~ ( subset @ SX1 @ sK2_SY59 ) )
| ~ ( subset @ SX0 @ SX1 ) )
| ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( greatest_lower_bound @ SX2 @ SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ SX3 @ SX1 @ sK1_R @ sK2_SY59 ) )
| ( apply @ sK1_R @ SX3 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(62,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( equal_set @ SX0 @ SX1 )
| ~ ( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 ) )
| ( equal_set @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(63,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( total_order @ SX0 @ SX1 )
| ~ ( ~ ( order @ SX0 @ SX1 )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ( order @ SX0 @ SX1 )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ( member @ SX3 @ SX1 ) )
| ( apply @ SX0 @ SX2 @ SX3 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ( total_order @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(64,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( min @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX3 @ SX2 ) )
| ( SX2 = SX3 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX3 @ SX2 ) )
| ( SX2 = SX3 ) ) )
| ( min @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(65,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( least_upper_bound @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( ~ ( member @ SX0 @ SX1 )
| ~ ( upper_bound @ SX0 @ SX2 @ SX1 ) )
| ~ ! [SX4: $i] :
( ~ ~ ( ~ ( member @ SX4 @ SX3 )
| ~ ( upper_bound @ SX4 @ SX2 @ SX1 ) )
| ( apply @ SX2 @ SX0 @ SX4 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX0 @ SX1 )
| ~ ( upper_bound @ SX0 @ SX2 @ SX1 ) )
| ~ ! [SX4: $i] :
( ~ ~ ( ~ ( member @ SX4 @ SX3 )
| ~ ( upper_bound @ SX4 @ SX2 @ SX1 ) )
| ( apply @ SX2 @ SX0 @ SX4 ) ) )
| ( least_upper_bound @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(66,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( member @ SX0 @ ( power_set @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ( ~ ( subset @ SX0 @ SX1 )
| ( member @ SX0 @ ( power_set @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(67,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( upper_bound @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX3 @ SX2 ) )
| ( upper_bound @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(68,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( greatest_lower_bound @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( ~ ( member @ SX0 @ SX1 )
| ~ ( lower_bound @ SX0 @ SX2 @ SX1 ) )
| ~ ! [SX4: $i] :
( ~ ~ ( ~ ( member @ SX4 @ SX3 )
| ~ ( lower_bound @ SX4 @ SX2 @ SX1 ) )
| ( apply @ SX2 @ SX4 @ SX0 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SX0 @ SX1 )
| ~ ( lower_bound @ SX0 @ SX2 @ SX1 ) )
| ~ ! [SX4: $i] :
( ~ ~ ( ~ ( member @ SX4 @ SX3 )
| ~ ( lower_bound @ SX4 @ SX2 @ SX1 ) )
| ( apply @ SX2 @ SX4 @ SX0 ) ) )
| ( greatest_lower_bound @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(69,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( max @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 ) )
| ( SX2 = SX3 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 ) )
| ( SX2 = SX3 ) ) )
| ( max @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(70,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( lower_bound @ SX2 @ SX0 @ SX1 )
| ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 ) ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX2 @ SX3 ) )
| ( lower_bound @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(71,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( greatest @ SX2 @ SX0 @ SX1 )
| ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
( ~ ( member @ SX3 @ SX1 )
| ( apply @ SX0 @ SX3 @ SX2 ) ) )
| ( greatest @ SX2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(72,plain,
! [SV1: $i] :
( ( ! [SY68: $i] :
~ ( ~ ( ~ ( subset @ SV1 @ SY68 )
| ! [SY69: $i] :
( ~ ( member @ SY69 @ SV1 )
| ( member @ SY69 @ SY68 ) ) )
| ~ ( ~ ! [SY70: $i] :
( ~ ( member @ SY70 @ SV1 )
| ( member @ SY70 @ SY68 ) )
| ( subset @ SV1 @ SY68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(73,plain,
! [SV2: $i] :
( ( ! [SY71: $i,SY72: $i] :
~ ( ~ ( ~ ( least @ SY72 @ SV2 @ SY71 )
| ~ ( ~ ( member @ SY72 @ SY71 )
| ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SY71 )
| ( apply @ SV2 @ SY72 @ SY73 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY72 @ SY71 )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SY71 )
| ( apply @ SV2 @ SY72 @ SY74 ) ) )
| ( least @ SY72 @ SV2 @ SY71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(74,plain,
! [SV3: $i] :
( ( ! [SY75: $i] :
~ ( ~ ( ~ ( order @ SV3 @ SY75 )
| ~ ( ~ ~ ( ~ ! [SY76: $i] :
( ~ ( member @ SY76 @ SY75 )
| ( apply @ SV3 @ SY76 @ SY76 ) )
| ~ ! [SY77: $i,SY78: $i] :
( ~ ~ ( ~ ( member @ SY77 @ SY75 )
| ~ ( member @ SY78 @ SY75 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY77 @ SY78 )
| ~ ( apply @ SV3 @ SY78 @ SY77 ) )
| ( SY77 = SY78 ) ) )
| ~ ! [SY79: $i,SY80: $i,SY81: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY79 @ SY75 )
| ~ ( member @ SY80 @ SY75 ) )
| ~ ( member @ SY81 @ SY75 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY79 @ SY80 )
| ~ ( apply @ SV3 @ SY80 @ SY81 ) )
| ( apply @ SV3 @ SY79 @ SY81 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY82: $i] :
( ~ ( member @ SY82 @ SY75 )
| ( apply @ SV3 @ SY82 @ SY82 ) )
| ~ ! [SY83: $i,SY84: $i] :
( ~ ~ ( ~ ( member @ SY83 @ SY75 )
| ~ ( member @ SY84 @ SY75 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY83 @ SY84 )
| ~ ( apply @ SV3 @ SY84 @ SY83 ) )
| ( SY83 = SY84 ) ) )
| ~ ! [SY85: $i,SY86: $i,SY87: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY85 @ SY75 )
| ~ ( member @ SY86 @ SY75 ) )
| ~ ( member @ SY87 @ SY75 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY85 @ SY86 )
| ~ ( apply @ SV3 @ SY86 @ SY87 ) )
| ( apply @ SV3 @ SY85 @ SY87 ) ) )
| ( order @ SV3 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ~ ( ~ ( subset @ SX0 @ sK2_SY59 )
| ~ ( subset @ SX1 @ sK2_SY59 ) )
| ~ ( subset @ SX0 @ SX1 ) )
| ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( greatest_lower_bound @ SX2 @ SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ SX3 @ SX1 @ sK1_R @ sK2_SY59 ) )
| ( apply @ sK1_R @ SX3 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(76,plain,
! [SV4: $i] :
( ( ! [SY88: $i] :
~ ( ~ ( ~ ( equal_set @ SV4 @ SY88 )
| ~ ( ~ ( subset @ SV4 @ SY88 )
| ~ ( subset @ SY88 @ SV4 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ SV4 @ SY88 )
| ~ ( subset @ SY88 @ SV4 ) )
| ( equal_set @ SV4 @ SY88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(77,plain,
! [SV5: $i] :
( ( ! [SY89: $i] :
~ ( ~ ( ~ ( total_order @ SV5 @ SY89 )
| ~ ( ~ ( order @ SV5 @ SY89 )
| ~ ! [SY90: $i,SY91: $i] :
( ~ ~ ( ~ ( member @ SY90 @ SY89 )
| ~ ( member @ SY91 @ SY89 ) )
| ( apply @ SV5 @ SY90 @ SY91 )
| ( apply @ SV5 @ SY91 @ SY90 ) ) ) )
| ~ ( ~ ~ ( ~ ( order @ SV5 @ SY89 )
| ~ ! [SY92: $i,SY93: $i] :
( ~ ~ ( ~ ( member @ SY92 @ SY89 )
| ~ ( member @ SY93 @ SY89 ) )
| ( apply @ SV5 @ SY92 @ SY93 )
| ( apply @ SV5 @ SY93 @ SY92 ) ) )
| ( total_order @ SV5 @ SY89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(78,plain,
! [SV6: $i] :
( ( ! [SY94: $i,SY95: $i] :
~ ( ~ ( ~ ( min @ SY95 @ SV6 @ SY94 )
| ~ ( ~ ( member @ SY95 @ SY94 )
| ~ ! [SY96: $i] :
( ~ ~ ( ~ ( member @ SY96 @ SY94 )
| ~ ( apply @ SV6 @ SY96 @ SY95 ) )
| ( SY95 = SY96 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY95 @ SY94 )
| ~ ! [SY97: $i] :
( ~ ~ ( ~ ( member @ SY97 @ SY94 )
| ~ ( apply @ SV6 @ SY97 @ SY95 ) )
| ( SY95 = SY97 ) ) )
| ( min @ SY95 @ SV6 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(79,plain,
! [SV7: $i] :
( ( ! [SY98: $i,SY99: $i,SY100: $i] :
~ ( ~ ( ~ ( least_upper_bound @ SV7 @ SY98 @ SY99 @ SY100 )
| ~ ( ~ ~ ( ~ ( member @ SV7 @ SY98 )
| ~ ( upper_bound @ SV7 @ SY99 @ SY98 ) )
| ~ ! [SY101: $i] :
( ~ ~ ( ~ ( member @ SY101 @ SY100 )
| ~ ( upper_bound @ SY101 @ SY99 @ SY98 ) )
| ( apply @ SY99 @ SV7 @ SY101 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV7 @ SY98 )
| ~ ( upper_bound @ SV7 @ SY99 @ SY98 ) )
| ~ ! [SY102: $i] :
( ~ ~ ( ~ ( member @ SY102 @ SY100 )
| ~ ( upper_bound @ SY102 @ SY99 @ SY98 ) )
| ( apply @ SY99 @ SV7 @ SY102 ) ) )
| ( least_upper_bound @ SV7 @ SY98 @ SY99 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(80,plain,
! [SV8: $i] :
( ( ! [SY103: $i] :
~ ( ~ ( ~ ( member @ SV8 @ ( power_set @ SY103 ) )
| ( subset @ SV8 @ SY103 ) )
| ~ ( ~ ( subset @ SV8 @ SY103 )
| ( member @ SV8 @ ( power_set @ SY103 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(81,plain,
! [SV9: $i] :
( ( ! [SY104: $i,SY105: $i] :
~ ( ~ ( ~ ( upper_bound @ SY105 @ SV9 @ SY104 )
| ! [SY106: $i] :
( ~ ( member @ SY106 @ SY104 )
| ( apply @ SV9 @ SY106 @ SY105 ) ) )
| ~ ( ~ ! [SY107: $i] :
( ~ ( member @ SY107 @ SY104 )
| ( apply @ SV9 @ SY107 @ SY105 ) )
| ( upper_bound @ SY105 @ SV9 @ SY104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(82,plain,
! [SV10: $i] :
( ( ! [SY108: $i,SY109: $i,SY110: $i] :
~ ( ~ ( ~ ( greatest_lower_bound @ SV10 @ SY108 @ SY109 @ SY110 )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SY108 )
| ~ ( lower_bound @ SV10 @ SY109 @ SY108 ) )
| ~ ! [SY111: $i] :
( ~ ~ ( ~ ( member @ SY111 @ SY110 )
| ~ ( lower_bound @ SY111 @ SY109 @ SY108 ) )
| ( apply @ SY109 @ SY111 @ SV10 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV10 @ SY108 )
| ~ ( lower_bound @ SV10 @ SY109 @ SY108 ) )
| ~ ! [SY112: $i] :
( ~ ~ ( ~ ( member @ SY112 @ SY110 )
| ~ ( lower_bound @ SY112 @ SY109 @ SY108 ) )
| ( apply @ SY109 @ SY112 @ SV10 ) ) )
| ( greatest_lower_bound @ SV10 @ SY108 @ SY109 @ SY110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(83,plain,
! [SV11: $i] :
( ( ! [SY113: $i,SY114: $i] :
~ ( ~ ( ~ ( max @ SY114 @ SV11 @ SY113 )
| ~ ( ~ ( member @ SY114 @ SY113 )
| ~ ! [SY115: $i] :
( ~ ~ ( ~ ( member @ SY115 @ SY113 )
| ~ ( apply @ SV11 @ SY114 @ SY115 ) )
| ( SY114 = SY115 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY114 @ SY113 )
| ~ ! [SY116: $i] :
( ~ ~ ( ~ ( member @ SY116 @ SY113 )
| ~ ( apply @ SV11 @ SY114 @ SY116 ) )
| ( SY114 = SY116 ) ) )
| ( max @ SY114 @ SV11 @ SY113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(84,plain,
! [SV12: $i] :
( ( ! [SY117: $i,SY118: $i] :
~ ( ~ ( ~ ( lower_bound @ SY118 @ SV12 @ SY117 )
| ! [SY119: $i] :
( ~ ( member @ SY119 @ SY117 )
| ( apply @ SV12 @ SY118 @ SY119 ) ) )
| ~ ( ~ ! [SY120: $i] :
( ~ ( member @ SY120 @ SY117 )
| ( apply @ SV12 @ SY118 @ SY120 ) )
| ( lower_bound @ SY118 @ SV12 @ SY117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(85,plain,
! [SV13: $i] :
( ( ! [SY121: $i,SY122: $i] :
~ ( ~ ( ~ ( greatest @ SY122 @ SV13 @ SY121 )
| ~ ( ~ ( member @ SY122 @ SY121 )
| ~ ! [SY123: $i] :
( ~ ( member @ SY123 @ SY121 )
| ( apply @ SV13 @ SY123 @ SY122 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY122 @ SY121 )
| ~ ! [SY124: $i] :
( ~ ( member @ SY124 @ SY121 )
| ( apply @ SV13 @ SY124 @ SY122 ) ) )
| ( greatest @ SY122 @ SV13 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(86,plain,
! [SV14: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ( subset @ SV1 @ SV14 )
| ! [SY125: $i] :
( ~ ( member @ SY125 @ SV1 )
| ( member @ SY125 @ SV14 ) ) )
| ~ ( ~ ! [SY126: $i] :
( ~ ( member @ SY126 @ SV1 )
| ( member @ SY126 @ SV14 ) )
| ( subset @ SV1 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(87,plain,
! [SV15: $i,SV2: $i] :
( ( ! [SY127: $i] :
~ ( ~ ( ~ ( least @ SY127 @ SV2 @ SV15 )
| ~ ( ~ ( member @ SY127 @ SV15 )
| ~ ! [SY128: $i] :
( ~ ( member @ SY128 @ SV15 )
| ( apply @ SV2 @ SY127 @ SY128 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY127 @ SV15 )
| ~ ! [SY129: $i] :
( ~ ( member @ SY129 @ SV15 )
| ( apply @ SV2 @ SY127 @ SY129 ) ) )
| ( least @ SY127 @ SV2 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(88,plain,
! [SV16: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( order @ SV3 @ SV16 )
| ~ ( ~ ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
| ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
| ( order @ SV3 @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(89,plain,
( ( ! [SY142: $i] :
( ~ ~ ( ~ ~ ( ~ ( subset @ sK3_SX0 @ sK2_SY59 )
| ~ ( subset @ SY142 @ sK2_SY59 ) )
| ~ ( subset @ sK3_SX0 @ SY142 ) )
| ! [SY143: $i,SY144: $i] :
( ~ ~ ( ~ ( greatest_lower_bound @ SY143 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ SY144 @ SY142 @ sK1_R @ sK2_SY59 ) )
| ( apply @ sK1_R @ SY144 @ SY143 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(90,plain,
! [SV17: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( equal_set @ SV4 @ SV17 )
| ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) )
| ( equal_set @ SV4 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( total_order @ SV5 @ SV18 )
| ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) ) )
| ~ ( ~ ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) )
| ( total_order @ SV5 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(92,plain,
! [SV19: $i,SV6: $i] :
( ( ! [SY149: $i] :
~ ( ~ ( ~ ( min @ SY149 @ SV6 @ SV19 )
| ~ ( ~ ( member @ SY149 @ SV19 )
| ~ ! [SY150: $i] :
( ~ ~ ( ~ ( member @ SY150 @ SV19 )
| ~ ( apply @ SV6 @ SY150 @ SY149 ) )
| ( SY149 = SY150 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY149 @ SV19 )
| ~ ! [SY151: $i] :
( ~ ~ ( ~ ( member @ SY151 @ SV19 )
| ~ ( apply @ SV6 @ SY151 @ SY149 ) )
| ( SY149 = SY151 ) ) )
| ( min @ SY149 @ SV6 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(93,plain,
! [SV20: $i,SV7: $i] :
( ( ! [SY152: $i,SY153: $i] :
~ ( ~ ( ~ ( least_upper_bound @ SV7 @ SV20 @ SY152 @ SY153 )
| ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SY152 @ SV20 ) )
| ~ ! [SY154: $i] :
( ~ ~ ( ~ ( member @ SY154 @ SY153 )
| ~ ( upper_bound @ SY154 @ SY152 @ SV20 ) )
| ( apply @ SY152 @ SV7 @ SY154 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SY152 @ SV20 ) )
| ~ ! [SY155: $i] :
( ~ ~ ( ~ ( member @ SY155 @ SY153 )
| ~ ( upper_bound @ SY155 @ SY152 @ SV20 ) )
| ( apply @ SY152 @ SV7 @ SY155 ) ) )
| ( least_upper_bound @ SV7 @ SV20 @ SY152 @ SY153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( ~ ( ~ ( member @ SV8 @ ( power_set @ SV21 ) )
| ( subset @ SV8 @ SV21 ) )
| ~ ( ~ ( subset @ SV8 @ SV21 )
| ( member @ SV8 @ ( power_set @ SV21 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV22: $i,SV9: $i] :
( ( ! [SY156: $i] :
~ ( ~ ( ~ ( upper_bound @ SY156 @ SV9 @ SV22 )
| ! [SY157: $i] :
( ~ ( member @ SY157 @ SV22 )
| ( apply @ SV9 @ SY157 @ SY156 ) ) )
| ~ ( ~ ! [SY158: $i] :
( ~ ( member @ SY158 @ SV22 )
| ( apply @ SV9 @ SY158 @ SY156 ) )
| ( upper_bound @ SY156 @ SV9 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV23: $i,SV10: $i] :
( ( ! [SY159: $i,SY160: $i] :
~ ( ~ ( ~ ( greatest_lower_bound @ SV10 @ SV23 @ SY159 @ SY160 )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SY159 @ SV23 ) )
| ~ ! [SY161: $i] :
( ~ ~ ( ~ ( member @ SY161 @ SY160 )
| ~ ( lower_bound @ SY161 @ SY159 @ SV23 ) )
| ( apply @ SY159 @ SY161 @ SV10 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SY159 @ SV23 ) )
| ~ ! [SY162: $i] :
( ~ ~ ( ~ ( member @ SY162 @ SY160 )
| ~ ( lower_bound @ SY162 @ SY159 @ SV23 ) )
| ( apply @ SY159 @ SY162 @ SV10 ) ) )
| ( greatest_lower_bound @ SV10 @ SV23 @ SY159 @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV24: $i,SV11: $i] :
( ( ! [SY163: $i] :
~ ( ~ ( ~ ( max @ SY163 @ SV11 @ SV24 )
| ~ ( ~ ( member @ SY163 @ SV24 )
| ~ ! [SY164: $i] :
( ~ ~ ( ~ ( member @ SY164 @ SV24 )
| ~ ( apply @ SV11 @ SY163 @ SY164 ) )
| ( SY163 = SY164 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY163 @ SV24 )
| ~ ! [SY165: $i] :
( ~ ~ ( ~ ( member @ SY165 @ SV24 )
| ~ ( apply @ SV11 @ SY163 @ SY165 ) )
| ( SY163 = SY165 ) ) )
| ( max @ SY163 @ SV11 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV25: $i,SV12: $i] :
( ( ! [SY166: $i] :
~ ( ~ ( ~ ( lower_bound @ SY166 @ SV12 @ SV25 )
| ! [SY167: $i] :
( ~ ( member @ SY167 @ SV25 )
| ( apply @ SV12 @ SY166 @ SY167 ) ) )
| ~ ( ~ ! [SY168: $i] :
( ~ ( member @ SY168 @ SV25 )
| ( apply @ SV12 @ SY166 @ SY168 ) )
| ( lower_bound @ SY166 @ SV12 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV26: $i,SV13: $i] :
( ( ! [SY169: $i] :
~ ( ~ ( ~ ( greatest @ SY169 @ SV13 @ SV26 )
| ~ ( ~ ( member @ SY169 @ SV26 )
| ~ ! [SY170: $i] :
( ~ ( member @ SY170 @ SV26 )
| ( apply @ SV13 @ SY170 @ SY169 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY169 @ SV26 )
| ~ ! [SY171: $i] :
( ~ ( member @ SY171 @ SV26 )
| ( apply @ SV13 @ SY171 @ SY169 ) ) )
| ( greatest @ SY169 @ SV13 @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV14: $i,SV1: $i] :
( ( ~ ( ~ ( subset @ SV1 @ SV14 )
| ! [SY125: $i] :
( ~ ( member @ SY125 @ SV1 )
| ( member @ SY125 @ SV14 ) ) )
| ~ ( ~ ! [SY126: $i] :
( ~ ( member @ SY126 @ SV1 )
| ( member @ SY126 @ SV14 ) )
| ( subset @ SV1 @ SV14 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ~ ( ~ ( ~ ( least @ SV27 @ SV2 @ SV15 )
| ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) )
| ( least @ SV27 @ SV2 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV16: $i,SV3: $i] :
( ( ~ ( ~ ( order @ SV3 @ SV16 )
| ~ ( ~ ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
| ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
| ( order @ SV3 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(103,plain,
( ( ~ ~ ( ~ ~ ( ~ ( subset @ sK3_SX0 @ sK2_SY59 )
| ~ ( subset @ sK4_SY142 @ sK2_SY59 ) )
| ~ ( subset @ sK3_SX0 @ sK4_SY142 ) )
| ! [SY174: $i,SY175: $i] :
( ~ ~ ( ~ ( greatest_lower_bound @ SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ SY175 @ sK4_SY142 @ sK1_R @ sK2_SY59 ) )
| ( apply @ sK1_R @ SY175 @ SY174 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[89]) ).
thf(104,plain,
! [SV17: $i,SV4: $i] :
( ( ~ ( ~ ( equal_set @ SV4 @ SV17 )
| ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) )
| ( equal_set @ SV4 @ SV17 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( ~ ( total_order @ SV5 @ SV18 )
| ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) ) )
| ~ ( ~ ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) )
| ( total_order @ SV5 @ SV18 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ~ ( ~ ( ~ ( min @ SV28 @ SV6 @ SV19 )
| ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) )
| ( min @ SV28 @ SV6 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV29: $i,SV20: $i,SV7: $i] :
( ( ! [SY178: $i] :
~ ( ~ ( ~ ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SY178 )
| ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY179: $i] :
( ~ ~ ( ~ ( member @ SY179 @ SY178 )
| ~ ( upper_bound @ SY179 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY179 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY180: $i] :
( ~ ~ ( ~ ( member @ SY180 @ SY178 )
| ~ ( upper_bound @ SY180 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY180 ) ) )
| ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SY178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( ~ ( member @ SV8 @ ( power_set @ SV21 ) )
| ( subset @ SV8 @ SV21 ) )
| ~ ( ~ ( subset @ SV8 @ SV21 )
| ( member @ SV8 @ ( power_set @ SV21 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ~ ( ~ ( ~ ( upper_bound @ SV30 @ SV9 @ SV22 )
| ! [SY181: $i] :
( ~ ( member @ SY181 @ SV22 )
| ( apply @ SV9 @ SY181 @ SV30 ) ) )
| ~ ( ~ ! [SY182: $i] :
( ~ ( member @ SY182 @ SV22 )
| ( apply @ SV9 @ SY182 @ SV30 ) )
| ( upper_bound @ SV30 @ SV9 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV31: $i,SV23: $i,SV10: $i] :
( ( ! [SY183: $i] :
~ ( ~ ( ~ ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SY183 )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY184: $i] :
( ~ ~ ( ~ ( member @ SY184 @ SY183 )
| ~ ( lower_bound @ SY184 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY184 @ SV10 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY185: $i] :
( ~ ~ ( ~ ( member @ SY185 @ SY183 )
| ~ ( lower_bound @ SY185 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY185 @ SV10 ) ) )
| ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SY183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ~ ( ~ ( ~ ( max @ SV32 @ SV11 @ SV24 )
| ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) )
| ( max @ SV32 @ SV11 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ~ ( ~ ( ~ ( lower_bound @ SV33 @ SV12 @ SV25 )
| ! [SY188: $i] :
( ~ ( member @ SY188 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY188 ) ) )
| ~ ( ~ ! [SY189: $i] :
( ~ ( member @ SY189 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY189 ) )
| ( lower_bound @ SV33 @ SV12 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ~ ( ~ ( ~ ( greatest @ SV34 @ SV13 @ SV26 )
| ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) )
| ( greatest @ SV34 @ SV13 @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV14: $i,SV1: $i] :
( ( ~ ( ~ ( subset @ SV1 @ SV14 )
| ! [SY125: $i] :
( ~ ( member @ SY125 @ SV1 )
| ( member @ SY125 @ SV14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(115,plain,
! [SV14: $i,SV1: $i] :
( ( ~ ( ~ ! [SY126: $i] :
( ~ ( member @ SY126 @ SV1 )
| ( member @ SY126 @ SV14 ) )
| ( subset @ SV1 @ SV14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(116,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ~ ( ~ ( least @ SV27 @ SV2 @ SV15 )
| ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) )
| ( least @ SV27 @ SV2 @ SV15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(117,plain,
! [SV16: $i,SV3: $i] :
( ( ~ ( ~ ( order @ SV3 @ SV16 )
| ~ ( ~ ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(118,plain,
! [SV3: $i,SV16: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
| ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
| ( order @ SV3 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(119,plain,
( ( ~ ~ ( ~ ~ ( ~ ( subset @ sK3_SX0 @ sK2_SY59 )
| ~ ( subset @ sK4_SY142 @ sK2_SY59 ) )
| ~ ( subset @ sK3_SX0 @ sK4_SY142 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(120,plain,
( ( ! [SY174: $i,SY175: $i] :
( ~ ~ ( ~ ( greatest_lower_bound @ SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ SY175 @ sK4_SY142 @ sK1_R @ sK2_SY59 ) )
| ( apply @ sK1_R @ SY175 @ SY174 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(121,plain,
! [SV17: $i,SV4: $i] :
( ( ~ ( ~ ( equal_set @ SV4 @ SV17 )
| ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(122,plain,
! [SV17: $i,SV4: $i] :
( ( ~ ( ~ ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) )
| ( equal_set @ SV4 @ SV17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(123,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( ~ ( total_order @ SV5 @ SV18 )
| ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(124,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( ~ ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) )
| ( total_order @ SV5 @ SV18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(125,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ~ ( ~ ( min @ SV28 @ SV6 @ SV19 )
| ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) )
| ( min @ SV28 @ SV6 @ SV19 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(126,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ~ ( ~ ( ~ ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
| ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
| ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(127,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( ~ ( member @ SV8 @ ( power_set @ SV21 ) )
| ( subset @ SV8 @ SV21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(128,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( ~ ( subset @ SV8 @ SV21 )
| ( member @ SV8 @ ( power_set @ SV21 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(129,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ~ ( ~ ( upper_bound @ SV30 @ SV9 @ SV22 )
| ! [SY181: $i] :
( ~ ( member @ SY181 @ SV22 )
| ( apply @ SV9 @ SY181 @ SV30 ) ) )
| ~ ( ~ ! [SY182: $i] :
( ~ ( member @ SY182 @ SV22 )
| ( apply @ SV9 @ SY182 @ SV30 ) )
| ( upper_bound @ SV30 @ SV9 @ SV22 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(130,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
| ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(131,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ~ ( ~ ( max @ SV32 @ SV11 @ SV24 )
| ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) )
| ( max @ SV32 @ SV11 @ SV24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(132,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ~ ( ~ ( lower_bound @ SV33 @ SV12 @ SV25 )
| ! [SY188: $i] :
( ~ ( member @ SY188 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY188 ) ) )
| ~ ( ~ ! [SY189: $i] :
( ~ ( member @ SY189 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY189 ) )
| ( lower_bound @ SV33 @ SV12 @ SV25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(133,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ~ ( ~ ( greatest @ SV34 @ SV13 @ SV26 )
| ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) )
| ( greatest @ SV34 @ SV13 @ SV26 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(134,plain,
! [SV14: $i,SV1: $i] :
( ( ~ ( subset @ SV1 @ SV14 )
| ! [SY125: $i] :
( ~ ( member @ SY125 @ SV1 )
| ( member @ SY125 @ SV14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(135,plain,
! [SV14: $i,SV1: $i] :
( ( ~ ! [SY126: $i] :
( ~ ( member @ SY126 @ SV1 )
| ( member @ SY126 @ SV14 ) )
| ( subset @ SV1 @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(136,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ~ ( ~ ( least @ SV27 @ SV2 @ SV15 )
| ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(137,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) )
| ( least @ SV27 @ SV2 @ SV15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(138,plain,
! [SV16: $i,SV3: $i] :
( ( ~ ( order @ SV3 @ SV16 )
| ~ ( ~ ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(139,plain,
! [SV3: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
| ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
| ( order @ SV3 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(140,plain,
( ( ~ ( ~ ~ ( ~ ( subset @ sK3_SX0 @ sK2_SY59 )
| ~ ( subset @ sK4_SY142 @ sK2_SY59 ) )
| ~ ( subset @ sK3_SX0 @ sK4_SY142 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(141,plain,
( ( ! [SY196: $i] :
( ~ ~ ( ~ ( greatest_lower_bound @ sK5_SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ SY196 @ sK4_SY142 @ sK1_R @ sK2_SY59 ) )
| ( apply @ sK1_R @ SY196 @ sK5_SY174 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(142,plain,
! [SV17: $i,SV4: $i] :
( ( ~ ( equal_set @ SV4 @ SV17 )
| ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(143,plain,
! [SV17: $i,SV4: $i] :
( ( ~ ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) )
| ( equal_set @ SV4 @ SV17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(144,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ( total_order @ SV5 @ SV18 )
| ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(145,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) )
| ( total_order @ SV5 @ SV18 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(146,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ~ ( ~ ( min @ SV28 @ SV6 @ SV19 )
| ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(147,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) )
| ( min @ SV28 @ SV6 @ SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(148,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ~ ( ~ ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
| ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
| ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(149,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( member @ SV8 @ ( power_set @ SV21 ) )
| ( subset @ SV8 @ SV21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(150,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( subset @ SV8 @ SV21 )
| ( member @ SV8 @ ( power_set @ SV21 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(151,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ~ ( ~ ( upper_bound @ SV30 @ SV9 @ SV22 )
| ! [SY181: $i] :
( ~ ( member @ SY181 @ SV22 )
| ( apply @ SV9 @ SY181 @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(152,plain,
! [SV30: $i,SV9: $i,SV22: $i] :
( ( ~ ( ~ ! [SY182: $i] :
( ~ ( member @ SY182 @ SV22 )
| ( apply @ SV9 @ SY182 @ SV30 ) )
| ( upper_bound @ SV30 @ SV9 @ SV22 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(153,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ~ ( ~ ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
| ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(154,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ~ ( ~ ( max @ SV32 @ SV11 @ SV24 )
| ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(155,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) )
| ( max @ SV32 @ SV11 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(156,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ~ ( ~ ( lower_bound @ SV33 @ SV12 @ SV25 )
| ! [SY188: $i] :
( ~ ( member @ SY188 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY188 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(157,plain,
! [SV33: $i,SV12: $i,SV25: $i] :
( ( ~ ( ~ ! [SY189: $i] :
( ~ ( member @ SY189 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY189 ) )
| ( lower_bound @ SV33 @ SV12 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(158,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ~ ( ~ ( greatest @ SV34 @ SV13 @ SV26 )
| ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(159,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) )
| ( greatest @ SV34 @ SV13 @ SV26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(160,plain,
! [SV14: $i,SV1: $i] :
( ( ( ~ ( subset @ SV1 @ SV14 ) )
= $true )
| ( ( ! [SY125: $i] :
( ~ ( member @ SY125 @ SV1 )
| ( member @ SY125 @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(161,plain,
! [SV14: $i,SV1: $i] :
( ( ( ~ ! [SY126: $i] :
( ~ ( member @ SY126 @ SV1 )
| ( member @ SY126 @ SV14 ) ) )
= $true )
| ( ( subset @ SV1 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(162,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ~ ( least @ SV27 @ SV2 @ SV15 )
| ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(163,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ~ ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) )
| ( least @ SV27 @ SV2 @ SV15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(164,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( order @ SV3 @ SV16 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(165,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
| ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(166,plain,
( ( ~ ~ ( ~ ( subset @ sK3_SX0 @ sK2_SY59 )
| ~ ( subset @ sK4_SY142 @ sK2_SY59 ) )
| ~ ( subset @ sK3_SX0 @ sK4_SY142 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(167,plain,
( ( ~ ~ ( ~ ( greatest_lower_bound @ sK5_SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ sK6_SY196 @ sK4_SY142 @ sK1_R @ sK2_SY59 ) )
| ( apply @ sK1_R @ sK6_SY196 @ sK5_SY174 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[141]) ).
thf(168,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ( equal_set @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(169,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) ) )
= $true )
| ( ( equal_set @ SV4 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(170,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( total_order @ SV5 @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(171,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(172,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ~ ( min @ SV28 @ SV6 @ SV19 )
| ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(173,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ~ ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) )
| ( min @ SV28 @ SV6 @ SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(174,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ~ ( ~ ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
| ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(175,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
| ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(176,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( member @ SV8 @ ( power_set @ SV21 ) ) )
= $true )
| ( ( subset @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(177,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( subset @ SV8 @ SV21 ) )
= $true )
| ( ( member @ SV8 @ ( power_set @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(178,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ~ ( upper_bound @ SV30 @ SV9 @ SV22 )
| ! [SY181: $i] :
( ~ ( member @ SY181 @ SV22 )
| ( apply @ SV9 @ SY181 @ SV30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(179,plain,
! [SV30: $i,SV9: $i,SV22: $i] :
( ( ~ ! [SY182: $i] :
( ~ ( member @ SY182 @ SV22 )
| ( apply @ SV9 @ SY182 @ SV30 ) )
| ( upper_bound @ SV30 @ SV9 @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(180,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ~ ( ~ ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(181,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
| ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(182,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ~ ( max @ SV32 @ SV11 @ SV24 )
| ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(183,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ~ ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) )
| ( max @ SV32 @ SV11 @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(184,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ~ ( lower_bound @ SV33 @ SV12 @ SV25 )
| ! [SY188: $i] :
( ~ ( member @ SY188 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY188 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(185,plain,
! [SV33: $i,SV12: $i,SV25: $i] :
( ( ~ ! [SY189: $i] :
( ~ ( member @ SY189 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY189 ) )
| ( lower_bound @ SV33 @ SV12 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(186,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ~ ( greatest @ SV34 @ SV13 @ SV26 )
| ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(187,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ~ ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) )
| ( greatest @ SV34 @ SV13 @ SV26 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(188,plain,
! [SV14: $i,SV1: $i] :
( ( ( subset @ SV1 @ SV14 )
= $false )
| ( ( ! [SY125: $i] :
( ~ ( member @ SY125 @ SV1 )
| ( member @ SY125 @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(189,plain,
! [SV14: $i,SV1: $i] :
( ( ( ! [SY126: $i] :
( ~ ( member @ SY126 @ SV1 )
| ( member @ SY126 @ SV14 ) ) )
= $false )
| ( ( subset @ SV1 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(190,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ( ~ ( least @ SV27 @ SV2 @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(191,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) ) )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(192,plain,
! [SV16: $i,SV3: $i] :
( ( ( order @ SV3 @ SV16 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(193,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
| ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(194,plain,
( ( ~ ~ ( ~ ( subset @ sK3_SX0 @ sK2_SY59 )
| ~ ( subset @ sK4_SY142 @ sK2_SY59 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(195,plain,
( ( ~ ( subset @ sK3_SX0 @ sK4_SY142 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(196,plain,
( ( ~ ~ ( ~ ( greatest_lower_bound @ sK5_SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ sK6_SY196 @ sK4_SY142 @ sK1_R @ sK2_SY59 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(197,plain,
( ( apply @ sK1_R @ sK6_SY196 @ sK5_SY174 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(198,plain,
! [SV17: $i,SV4: $i] :
( ( ( equal_set @ SV4 @ SV17 )
= $false )
| ( ( ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(199,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) ) )
= $false )
| ( ( equal_set @ SV4 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(200,plain,
! [SV18: $i,SV5: $i] :
( ( ( total_order @ SV5 @ SV18 )
= $false )
| ( ( ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(201,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) ) )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(202,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( ~ ( min @ SV28 @ SV6 @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(203,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) ) )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(204,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ~ ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
| ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(205,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
| ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(206,plain,
! [SV21: $i,SV8: $i] :
( ( ( member @ SV8 @ ( power_set @ SV21 ) )
= $false )
| ( ( subset @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(207,plain,
! [SV21: $i,SV8: $i] :
( ( ( subset @ SV8 @ SV21 )
= $false )
| ( ( member @ SV8 @ ( power_set @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(208,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ( ~ ( upper_bound @ SV30 @ SV9 @ SV22 ) )
= $true )
| ( ( ! [SY181: $i] :
( ~ ( member @ SY181 @ SV22 )
| ( apply @ SV9 @ SY181 @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(209,plain,
! [SV30: $i,SV9: $i,SV22: $i] :
( ( ( ~ ! [SY182: $i] :
( ~ ( member @ SY182 @ SV22 )
| ( apply @ SV9 @ SY182 @ SV30 ) ) )
= $true )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(210,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ~ ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
| ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(211,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
| ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(212,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( ~ ( max @ SV32 @ SV11 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(213,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) ) )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(214,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ( ~ ( lower_bound @ SV33 @ SV12 @ SV25 ) )
= $true )
| ( ( ! [SY188: $i] :
( ~ ( member @ SY188 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY188 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(215,plain,
! [SV33: $i,SV12: $i,SV25: $i] :
( ( ( ~ ! [SY189: $i] :
( ~ ( member @ SY189 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY189 ) ) )
= $true )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(216,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ( ~ ( greatest @ SV34 @ SV13 @ SV26 ) )
= $true )
| ( ( ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(217,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) ) )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(218,plain,
! [SV14: $i,SV1: $i,SV37: $i] :
( ( ( ~ ( member @ SV37 @ SV1 )
| ( member @ SV37 @ SV14 ) )
= $true )
| ( ( subset @ SV1 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(219,plain,
! [SV1: $i,SV14: $i] :
( ( ( ~ ( member @ ( sK7_SY126 @ SV14 @ SV1 ) @ SV1 )
| ( member @ ( sK7_SY126 @ SV14 @ SV1 ) @ SV14 ) )
= $false )
| ( ( subset @ SV1 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[189]) ).
thf(220,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ( least @ SV27 @ SV2 @ SV15 )
= $false )
| ( ( ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(221,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ( ~ ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) ) )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(222,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
| ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(223,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
| ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(224,plain,
( ( ~ ( ~ ( subset @ sK3_SX0 @ sK2_SY59 )
| ~ ( subset @ sK4_SY142 @ sK2_SY59 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(225,plain,
( ( subset @ sK3_SX0 @ sK4_SY142 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(226,plain,
( ( ~ ( ~ ( greatest_lower_bound @ sK5_SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ sK6_SY196 @ sK4_SY142 @ sK1_R @ sK2_SY59 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(227,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) )
= $false )
| ( ( equal_set @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(228,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV17 )
| ~ ( subset @ SV17 @ SV4 ) )
= $true )
| ( ( equal_set @ SV4 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(229,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(230,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( order @ SV5 @ SV18 )
| ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(231,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( min @ SV28 @ SV6 @ SV19 )
= $false )
| ( ( ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(232,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ( ~ ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) ) )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(233,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(234,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(235,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $false )
| ( ( ! [SY181: $i] :
( ~ ( member @ SY181 @ SV22 )
| ( apply @ SV9 @ SY181 @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(236,plain,
! [SV30: $i,SV9: $i,SV22: $i] :
( ( ( ! [SY182: $i] :
( ~ ( member @ SY182 @ SV22 )
| ( apply @ SV9 @ SY182 @ SV30 ) ) )
= $false )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(237,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(238,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(239,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( max @ SV32 @ SV11 @ SV24 )
= $false )
| ( ( ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(240,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) ) )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(241,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $false )
| ( ( ! [SY188: $i] :
( ~ ( member @ SY188 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY188 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(242,plain,
! [SV33: $i,SV12: $i,SV25: $i] :
( ( ( ! [SY189: $i] :
( ~ ( member @ SY189 @ SV25 )
| ( apply @ SV12 @ SV33 @ SY189 ) ) )
= $false )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(243,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false )
| ( ( ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(244,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ( ~ ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) ) )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(245,plain,
! [SV14: $i,SV1: $i,SV37: $i] :
( ( ( ~ ( member @ SV37 @ SV1 ) )
= $true )
| ( ( member @ SV37 @ SV14 )
= $true )
| ( ( subset @ SV1 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(246,plain,
! [SV1: $i,SV14: $i] :
( ( ( ~ ( member @ ( sK7_SY126 @ SV14 @ SV1 ) @ SV1 ) )
= $false )
| ( ( subset @ SV1 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(247,plain,
! [SV1: $i,SV14: $i] :
( ( ( member @ ( sK7_SY126 @ SV14 @ SV1 ) @ SV14 )
= $false )
| ( ( subset @ SV1 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(248,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(249,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ SV15 )
| ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(250,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(251,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(252,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) ) )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(253,plain,
( ( ~ ( subset @ sK3_SX0 @ sK2_SY59 )
| ~ ( subset @ sK4_SY142 @ sK2_SY59 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(254,plain,
( ( ~ ( greatest_lower_bound @ sK5_SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
| ~ ( greatest_lower_bound @ sK6_SY196 @ sK4_SY142 @ sK1_R @ sK2_SY59 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(255,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV17 ) )
= $false )
| ( ( equal_set @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(256,plain,
! [SV4: $i,SV17: $i] :
( ( ( ~ ( subset @ SV17 @ SV4 ) )
= $false )
| ( ( equal_set @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(257,plain,
! [SV17: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( subset @ SV17 @ SV4 ) )
= $true )
| ( ( equal_set @ SV4 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(258,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( order @ SV5 @ SV18 ) )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(259,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(260,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( order @ SV5 @ SV18 ) )
= $true )
| ( ( ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(261,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(262,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV19 )
| ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(263,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(264,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) ) )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(265,plain,
! [SV30: $i,SV9: $i,SV22: $i,SV38: $i] :
( ( ( ~ ( member @ SV38 @ SV22 )
| ( apply @ SV9 @ SV38 @ SV30 ) )
= $true )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(266,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ( ~ ( member @ ( sK8_SY182 @ SV30 @ SV9 @ SV22 ) @ SV22 )
| ( apply @ SV9 @ ( sK8_SY182 @ SV30 @ SV9 @ SV22 ) @ SV30 ) )
= $false )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(267,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(268,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) ) )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(269,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(270,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ( ~ ( member @ SV32 @ SV24 )
| ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(271,plain,
! [SV33: $i,SV12: $i,SV25: $i,SV39: $i] :
( ( ( ~ ( member @ SV39 @ SV25 )
| ( apply @ SV12 @ SV33 @ SV39 ) )
= $true )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(272,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ( ~ ( member @ ( sK9_SY189 @ SV33 @ SV12 @ SV25 ) @ SV25 )
| ( apply @ SV12 @ SV33 @ ( sK9_SY189 @ SV33 @ SV12 @ SV25 ) ) )
= $false )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[242]) ).
thf(273,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(274,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ( ~ ( member @ SV34 @ SV26 )
| ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(275,plain,
! [SV14: $i,SV1: $i,SV37: $i] :
( ( ( member @ SV37 @ SV1 )
= $false )
| ( ( member @ SV37 @ SV14 )
= $true )
| ( ( subset @ SV1 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(276,plain,
! [SV1: $i,SV14: $i] :
( ( ( member @ ( sK7_SY126 @ SV14 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ SV1 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(277,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ SV15 ) )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(278,plain,
! [SV27: $i,SV2: $i,SV15: $i] :
( ( ( ~ ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(279,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ SV15 ) )
= $true )
| ( ( ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(280,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(281,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY133: $i,SY134: $i,SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY133 @ SV16 )
| ~ ( member @ SY134 @ SV16 ) )
| ~ ( member @ SY135 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY133 @ SY134 )
| ~ ( apply @ SV3 @ SY134 @ SY135 ) )
| ( apply @ SV3 @ SY133 @ SY135 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(282,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(283,plain,
( ( ~ ( subset @ sK3_SX0 @ sK2_SY59 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(284,plain,
( ( ~ ( subset @ sK4_SY142 @ sK2_SY59 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(285,plain,
( ( ~ ( greatest_lower_bound @ sK5_SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(286,plain,
( ( ~ ( greatest_lower_bound @ sK6_SY196 @ sK4_SY142 @ sK1_R @ sK2_SY59 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(287,plain,
! [SV17: $i,SV4: $i] :
( ( ( subset @ SV4 @ SV17 )
= $true )
| ( ( equal_set @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(288,plain,
! [SV4: $i,SV17: $i] :
( ( ( subset @ SV17 @ SV4 )
= $true )
| ( ( equal_set @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(289,plain,
! [SV17: $i,SV4: $i] :
( ( ( subset @ SV4 @ SV17 )
= $false )
| ( ( ~ ( subset @ SV17 @ SV4 ) )
= $true )
| ( ( equal_set @ SV4 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(290,plain,
! [SV18: $i,SV5: $i] :
( ( ( order @ SV5 @ SV18 )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(291,plain,
! [SV5: $i,SV18: $i] :
( ( ( ! [SY145: $i,SY146: $i] :
( ~ ~ ( ~ ( member @ SY145 @ SV18 )
| ~ ( member @ SY146 @ SV18 ) )
| ( apply @ SV5 @ SY145 @ SY146 )
| ( apply @ SV5 @ SY146 @ SY145 ) ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(292,plain,
! [SV18: $i,SV5: $i] :
( ( ( order @ SV5 @ SV18 )
= $false )
| ( ( ~ ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(293,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV19 ) )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(294,plain,
! [SV28: $i,SV6: $i,SV19: $i] :
( ( ( ~ ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(295,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV19 ) )
= $true )
| ( ( ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(296,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(297,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
| ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(298,plain,
! [SV30: $i,SV9: $i,SV22: $i,SV38: $i] :
( ( ( ~ ( member @ SV38 @ SV22 ) )
= $true )
| ( ( apply @ SV9 @ SV38 @ SV30 )
= $true )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(299,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ( ~ ( member @ ( sK8_SY182 @ SV30 @ SV9 @ SV22 ) @ SV22 ) )
= $false )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(300,plain,
! [SV22: $i,SV30: $i,SV9: $i] :
( ( ( apply @ SV9 @ ( sK8_SY182 @ SV30 @ SV9 @ SV22 ) @ SV30 )
= $false )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(301,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(302,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
| ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(303,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ( ~ ( member @ SV32 @ SV24 ) )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(304,plain,
! [SV32: $i,SV11: $i,SV24: $i] :
( ( ( ~ ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(305,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ( ~ ( member @ SV32 @ SV24 ) )
= $true )
| ( ( ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(306,plain,
! [SV33: $i,SV12: $i,SV25: $i,SV39: $i] :
( ( ( ~ ( member @ SV39 @ SV25 ) )
= $true )
| ( ( apply @ SV12 @ SV33 @ SV39 )
= $true )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(307,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ( ~ ( member @ ( sK9_SY189 @ SV33 @ SV12 @ SV25 ) @ SV25 ) )
= $false )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(308,plain,
! [SV25: $i,SV33: $i,SV12: $i] :
( ( ( apply @ SV12 @ SV33 @ ( sK9_SY189 @ SV33 @ SV12 @ SV25 ) )
= $false )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(309,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ( ~ ( member @ SV34 @ SV26 ) )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(310,plain,
! [SV34: $i,SV13: $i,SV26: $i] :
( ( ( ~ ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(311,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ( ~ ( member @ SV34 @ SV26 ) )
= $true )
| ( ( ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(312,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ( member @ SV27 @ SV15 )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(313,plain,
! [SV27: $i,SV2: $i,SV15: $i] :
( ( ( ! [SY172: $i] :
( ~ ( member @ SY172 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY172 ) ) )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(314,plain,
! [SV2: $i,SV15: $i,SV27: $i] :
( ( ( member @ SV27 @ SV15 )
= $false )
| ( ( ~ ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(315,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) )
| ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(316,plain,
! [SV3: $i,SV16: $i,SV40: $i] :
( ( ( ! [SY197: $i,SY198: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SY197 @ SV16 ) )
| ~ ( member @ SY198 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SY197 )
| ~ ( apply @ SV3 @ SY197 @ SY198 ) )
| ( apply @ SV3 @ SV40 @ SY198 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(317,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) )
| ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(318,plain,
( ( subset @ sK3_SX0 @ sK2_SY59 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(319,plain,
( ( subset @ sK4_SY142 @ sK2_SY59 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(320,plain,
( ( greatest_lower_bound @ sK5_SY174 @ sK3_SX0 @ sK1_R @ sK2_SY59 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(321,plain,
( ( greatest_lower_bound @ sK6_SY196 @ sK4_SY142 @ sK1_R @ sK2_SY59 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(322,plain,
! [SV4: $i,SV17: $i] :
( ( ( subset @ SV17 @ SV4 )
= $false )
| ( ( subset @ SV4 @ SV17 )
= $false )
| ( ( equal_set @ SV4 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(323,plain,
! [SV5: $i,SV18: $i,SV41: $i] :
( ( ( ! [SY199: $i] :
( ~ ~ ( ~ ( member @ SV41 @ SV18 )
| ~ ( member @ SY199 @ SV18 ) )
| ( apply @ SV5 @ SV41 @ SY199 )
| ( apply @ SV5 @ SY199 @ SV41 ) ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(324,plain,
! [SV5: $i,SV18: $i] :
( ( ( ! [SY147: $i,SY148: $i] :
( ~ ~ ( ~ ( member @ SY147 @ SV18 )
| ~ ( member @ SY148 @ SV18 ) )
| ( apply @ SV5 @ SY147 @ SY148 )
| ( apply @ SV5 @ SY148 @ SY147 ) ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(325,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ( member @ SV28 @ SV19 )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(326,plain,
! [SV28: $i,SV6: $i,SV19: $i] :
( ( ( ! [SY176: $i] :
( ~ ~ ( ~ ( member @ SY176 @ SV19 )
| ~ ( apply @ SV6 @ SY176 @ SV28 ) )
| ( SV28 = SY176 ) ) )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(327,plain,
! [SV6: $i,SV19: $i,SV28: $i] :
( ( ( member @ SV28 @ SV19 )
= $false )
| ( ( ~ ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(328,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) ) )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(329,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i] :
( ( ( ~ ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(330,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) ) )
= $true )
| ( ( ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(331,plain,
! [SV30: $i,SV9: $i,SV22: $i,SV38: $i] :
( ( ( member @ SV38 @ SV22 )
= $false )
| ( ( apply @ SV9 @ SV38 @ SV30 )
= $true )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(332,plain,
! [SV22: $i,SV9: $i,SV30: $i] :
( ( ( member @ ( sK8_SY182 @ SV30 @ SV9 @ SV22 ) @ SV22 )
= $true )
| ( ( upper_bound @ SV30 @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(333,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) ) )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(334,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(335,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) ) )
= $true )
| ( ( ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(336,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ( member @ SV32 @ SV24 )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(337,plain,
! [SV32: $i,SV11: $i,SV24: $i] :
( ( ( ! [SY186: $i] :
( ~ ~ ( ~ ( member @ SY186 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY186 ) )
| ( SV32 = SY186 ) ) )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(338,plain,
! [SV11: $i,SV24: $i,SV32: $i] :
( ( ( member @ SV32 @ SV24 )
= $false )
| ( ( ~ ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(339,plain,
! [SV33: $i,SV12: $i,SV25: $i,SV39: $i] :
( ( ( member @ SV39 @ SV25 )
= $false )
| ( ( apply @ SV12 @ SV33 @ SV39 )
= $true )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(340,plain,
! [SV25: $i,SV12: $i,SV33: $i] :
( ( ( member @ ( sK9_SY189 @ SV33 @ SV12 @ SV25 ) @ SV25 )
= $true )
| ( ( lower_bound @ SV33 @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(341,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ( member @ SV34 @ SV26 )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(342,plain,
! [SV34: $i,SV13: $i,SV26: $i] :
( ( ( ! [SY190: $i] :
( ~ ( member @ SY190 @ SV26 )
| ( apply @ SV13 @ SY190 @ SV34 ) ) )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(343,plain,
! [SV13: $i,SV26: $i,SV34: $i] :
( ( ( member @ SV34 @ SV26 )
= $false )
| ( ( ~ ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(344,plain,
! [SV27: $i,SV2: $i,SV15: $i,SV42: $i] :
( ( ( ~ ( member @ SV42 @ SV15 )
| ( apply @ SV2 @ SV27 @ SV42 ) )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(345,plain,
! [SV27: $i,SV2: $i,SV15: $i] :
( ( ( ! [SY173: $i] :
( ~ ( member @ SY173 @ SV15 )
| ( apply @ SV2 @ SV27 @ SY173 ) ) )
= $false )
| ( ( member @ SV27 @ SV15 )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(346,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(347,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(348,plain,
! [SV3: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ! [SY200: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SV43 @ SV16 ) )
| ~ ( member @ SY200 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SY200 ) )
| ( apply @ SV3 @ SV40 @ SY200 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(349,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) ) )
= $true )
| ( ( ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(350,plain,
! [SV5: $i,SV44: $i,SV18: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( member @ SV41 @ SV18 )
| ~ ( member @ SV44 @ SV18 ) )
| ( apply @ SV5 @ SV41 @ SV44 )
| ( apply @ SV5 @ SV44 @ SV41 ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(351,plain,
! [SV18: $i,SV5: $i] :
( ( ( ! [SY201: $i] :
( ~ ~ ( ~ ( member @ ( sK10_SY147 @ SV5 @ SV18 ) @ SV18 )
| ~ ( member @ SY201 @ SV18 ) )
| ( apply @ SV5 @ ( sK10_SY147 @ SV5 @ SV18 ) @ SY201 )
| ( apply @ SV5 @ SY201 @ ( sK10_SY147 @ SV5 @ SV18 ) ) ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[324]) ).
thf(352,plain,
! [SV28: $i,SV6: $i,SV19: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ( member @ SV45 @ SV19 )
| ~ ( apply @ SV6 @ SV45 @ SV28 ) )
| ( SV28 = SV45 ) )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(353,plain,
! [SV28: $i,SV6: $i,SV19: $i] :
( ( ( ! [SY177: $i] :
( ~ ~ ( ~ ( member @ SY177 @ SV19 )
| ~ ( apply @ SV6 @ SY177 @ SV28 ) )
| ( SV28 = SY177 ) ) )
= $false )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(354,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(355,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i] :
( ( ( ! [SY192: $i] :
( ~ ~ ( ~ ( member @ SY192 @ SV35 )
| ~ ( upper_bound @ SY192 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY192 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(356,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) ) )
= $false )
| ( ( ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(357,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(358,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i] :
( ( ( ! [SY194: $i] :
( ~ ~ ( ~ ( member @ SY194 @ SV36 )
| ~ ( lower_bound @ SY194 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY194 @ SV10 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(359,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) ) )
= $false )
| ( ( ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(360,plain,
! [SV32: $i,SV11: $i,SV24: $i,SV46: $i] :
( ( ( ~ ~ ( ~ ( member @ SV46 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SV46 ) )
| ( SV32 = SV46 ) )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(361,plain,
! [SV32: $i,SV11: $i,SV24: $i] :
( ( ( ! [SY187: $i] :
( ~ ~ ( ~ ( member @ SY187 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SY187 ) )
| ( SV32 = SY187 ) ) )
= $false )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(362,plain,
! [SV34: $i,SV13: $i,SV26: $i,SV47: $i] :
( ( ( ~ ( member @ SV47 @ SV26 )
| ( apply @ SV13 @ SV47 @ SV34 ) )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(363,plain,
! [SV34: $i,SV13: $i,SV26: $i] :
( ( ( ! [SY191: $i] :
( ~ ( member @ SY191 @ SV26 )
| ( apply @ SV13 @ SY191 @ SV34 ) ) )
= $false )
| ( ( member @ SV34 @ SV26 )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(364,plain,
! [SV27: $i,SV2: $i,SV15: $i,SV42: $i] :
( ( ( ~ ( member @ SV42 @ SV15 ) )
= $true )
| ( ( apply @ SV2 @ SV27 @ SV42 )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(365,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ( ~ ( member @ ( sK11_SY173 @ SV27 @ SV2 @ SV15 ) @ SV15 )
| ( apply @ SV2 @ SV27 @ ( sK11_SY173 @ SV27 @ SV2 @ SV15 ) ) )
= $false )
| ( ( member @ SV27 @ SV15 )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[345]) ).
thf(366,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY130: $i] :
( ~ ( member @ SY130 @ SV16 )
| ( apply @ SV3 @ SY130 @ SY130 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(367,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY131: $i,SY132: $i] :
( ~ ~ ( ~ ( member @ SY131 @ SV16 )
| ~ ( member @ SY132 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY131 @ SY132 )
| ~ ( apply @ SV3 @ SY132 @ SY131 ) )
| ( SY131 = SY132 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(368,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SV43 @ SV16 ) )
| ~ ( member @ SV48 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(369,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY136: $i] :
( ~ ( member @ SY136 @ SV16 )
| ( apply @ SV3 @ SY136 @ SY136 ) ) )
= $false )
| ( ( ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(370,plain,
! [SV5: $i,SV44: $i,SV18: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( member @ SV41 @ SV18 )
| ~ ( member @ SV44 @ SV18 ) ) )
= $true )
| ( ( ( apply @ SV5 @ SV41 @ SV44 )
| ( apply @ SV5 @ SV44 @ SV41 ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(371,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK10_SY147 @ SV5 @ SV18 ) @ SV18 )
| ~ ( member @ ( sK12_SY201 @ SV18 @ SV5 ) @ SV18 ) )
| ( apply @ SV5 @ ( sK10_SY147 @ SV5 @ SV18 ) @ ( sK12_SY201 @ SV18 @ SV5 ) )
| ( apply @ SV5 @ ( sK12_SY201 @ SV18 @ SV5 ) @ ( sK10_SY147 @ SV5 @ SV18 ) ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[351]) ).
thf(372,plain,
! [SV28: $i,SV6: $i,SV19: $i,SV45: $i] :
( ( ( ~ ~ ( ~ ( member @ SV45 @ SV19 )
| ~ ( apply @ SV6 @ SV45 @ SV28 ) ) )
= $true )
| ( ( SV28 = SV45 )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(373,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV19 )
| ~ ( apply @ SV6 @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV28 ) )
| ( SV28
= ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) ) )
= $false )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[353]) ).
thf(374,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(375,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( member @ SV49 @ SV35 )
| ~ ( upper_bound @ SV49 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SV49 ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(376,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( member @ SV7 @ SV20 )
| ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
= $true )
| ( ( ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(377,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(378,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i,SV50: $i] :
( ( ( ~ ~ ( ~ ( member @ SV50 @ SV36 )
| ~ ( lower_bound @ SV50 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SV50 @ SV10 ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(379,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV23 )
| ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
= $true )
| ( ( ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(380,plain,
! [SV32: $i,SV11: $i,SV24: $i,SV46: $i] :
( ( ( ~ ~ ( ~ ( member @ SV46 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SV46 ) ) )
= $true )
| ( ( SV32 = SV46 )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(381,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) ) )
| ( SV32
= ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) ) )
= $false )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[361]) ).
thf(382,plain,
! [SV34: $i,SV13: $i,SV26: $i,SV47: $i] :
( ( ( ~ ( member @ SV47 @ SV26 ) )
= $true )
| ( ( apply @ SV13 @ SV47 @ SV34 )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(383,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ( ~ ( member @ ( sK15_SY191 @ SV34 @ SV13 @ SV26 ) @ SV26 )
| ( apply @ SV13 @ ( sK15_SY191 @ SV34 @ SV13 @ SV26 ) @ SV34 ) )
= $false )
| ( ( member @ SV34 @ SV26 )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[363]) ).
thf(384,plain,
! [SV27: $i,SV2: $i,SV15: $i,SV42: $i] :
( ( ( member @ SV42 @ SV15 )
= $false )
| ( ( apply @ SV2 @ SV27 @ SV42 )
= $true )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(385,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ( ~ ( member @ ( sK11_SY173 @ SV27 @ SV2 @ SV15 ) @ SV15 ) )
= $false )
| ( ( member @ SV27 @ SV15 )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(386,plain,
! [SV15: $i,SV27: $i,SV2: $i] :
( ( ( apply @ SV2 @ SV27 @ ( sK11_SY173 @ SV27 @ SV2 @ SV15 ) )
= $false )
| ( ( member @ SV27 @ SV15 )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(387,plain,
! [SV3: $i,SV16: $i,SV51: $i] :
( ( ( ~ ( member @ SV51 @ SV16 )
| ( apply @ SV3 @ SV51 @ SV51 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(388,plain,
! [SV3: $i,SV16: $i,SV52: $i] :
( ( ( ! [SY202: $i] :
( ~ ~ ( ~ ( member @ SV52 @ SV16 )
| ~ ( member @ SY202 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SY202 )
| ~ ( apply @ SV3 @ SY202 @ SV52 ) )
| ( SV52 = SY202 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(389,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SV43 @ SV16 ) )
| ~ ( member @ SV48 @ SV16 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(390,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
| ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) ) )
= $false )
| ( ( ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[369]) ).
thf(391,plain,
! [SV5: $i,SV44: $i,SV18: $i,SV41: $i] :
( ( ( ~ ( ~ ( member @ SV41 @ SV18 )
| ~ ( member @ SV44 @ SV18 ) ) )
= $false )
| ( ( ( apply @ SV5 @ SV41 @ SV44 )
| ( apply @ SV5 @ SV44 @ SV41 ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(392,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK10_SY147 @ SV5 @ SV18 ) @ SV18 )
| ~ ( member @ ( sK12_SY201 @ SV18 @ SV5 ) @ SV18 ) ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(393,plain,
! [SV18: $i,SV5: $i] :
( ( ( ( apply @ SV5 @ ( sK10_SY147 @ SV5 @ SV18 ) @ ( sK12_SY201 @ SV18 @ SV5 ) )
| ( apply @ SV5 @ ( sK12_SY201 @ SV18 @ SV5 ) @ ( sK10_SY147 @ SV5 @ SV18 ) ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(394,plain,
! [SV28: $i,SV6: $i,SV19: $i,SV45: $i] :
( ( ( ~ ( ~ ( member @ SV45 @ SV19 )
| ~ ( apply @ SV6 @ SV45 @ SV28 ) ) )
= $false )
| ( ( SV28 = SV45 )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(395,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV19 )
| ~ ( apply @ SV6 @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV28 ) ) )
= $false )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(396,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( SV28
= ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) )
= $false )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[373]) ).
thf(397,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( member @ SV7 @ SV20 ) )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(398,plain,
! [SV35: $i,SV20: $i,SV29: $i,SV7: $i] :
( ( ( ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(399,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( member @ SV49 @ SV35 )
| ~ ( upper_bound @ SV49 @ SV29 @ SV20 ) ) )
= $true )
| ( ( apply @ SV29 @ SV7 @ SV49 )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(400,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( member @ SV7 @ SV20 ) )
= $true )
| ( ( ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
= $true )
| ( ( ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(401,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV23 ) )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(402,plain,
! [SV36: $i,SV23: $i,SV31: $i,SV10: $i] :
( ( ( ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(403,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i,SV50: $i] :
( ( ( ~ ~ ( ~ ( member @ SV50 @ SV36 )
| ~ ( lower_bound @ SV50 @ SV31 @ SV23 ) ) )
= $true )
| ( ( apply @ SV31 @ SV50 @ SV10 )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(404,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( member @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
= $true )
| ( ( ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(405,plain,
! [SV32: $i,SV11: $i,SV24: $i,SV46: $i] :
( ( ( ~ ( ~ ( member @ SV46 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SV46 ) ) )
= $false )
| ( ( SV32 = SV46 )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(406,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) ) ) )
= $false )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(407,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( SV32
= ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) )
= $false )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(408,plain,
! [SV34: $i,SV13: $i,SV26: $i,SV47: $i] :
( ( ( member @ SV47 @ SV26 )
= $false )
| ( ( apply @ SV13 @ SV47 @ SV34 )
= $true )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(409,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ( ~ ( member @ ( sK15_SY191 @ SV34 @ SV13 @ SV26 ) @ SV26 ) )
= $false )
| ( ( member @ SV34 @ SV26 )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(410,plain,
! [SV26: $i,SV34: $i,SV13: $i] :
( ( ( apply @ SV13 @ ( sK15_SY191 @ SV34 @ SV13 @ SV26 ) @ SV34 )
= $false )
| ( ( member @ SV34 @ SV26 )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(411,plain,
! [SV15: $i,SV2: $i,SV27: $i] :
( ( ( member @ ( sK11_SY173 @ SV27 @ SV2 @ SV15 ) @ SV15 )
= $true )
| ( ( member @ SV27 @ SV15 )
= $false )
| ( ( least @ SV27 @ SV2 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(412,plain,
! [SV3: $i,SV16: $i,SV51: $i] :
( ( ( ~ ( member @ SV51 @ SV16 ) )
= $true )
| ( ( apply @ SV3 @ SV51 @ SV51 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(413,plain,
! [SV3: $i,SV53: $i,SV16: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( member @ SV52 @ SV16 )
| ~ ( member @ SV53 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) )
| ( SV52 = SV53 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(414,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SV43 @ SV16 ) )
| ~ ( member @ SV48 @ SV16 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(415,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(416,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(417,plain,
! [SV5: $i,SV44: $i,SV18: $i,SV41: $i] :
( ( ( ~ ( member @ SV41 @ SV18 )
| ~ ( member @ SV44 @ SV18 ) )
= $true )
| ( ( ( apply @ SV5 @ SV41 @ SV44 )
| ( apply @ SV5 @ SV44 @ SV41 ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(418,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( ~ ( member @ ( sK10_SY147 @ SV5 @ SV18 ) @ SV18 )
| ~ ( member @ ( sK12_SY201 @ SV18 @ SV5 ) @ SV18 ) ) )
= $true )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(419,plain,
! [SV18: $i,SV5: $i] :
( ( ( apply @ SV5 @ ( sK10_SY147 @ SV5 @ SV18 ) @ ( sK12_SY201 @ SV18 @ SV5 ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(420,plain,
! [SV18: $i,SV5: $i] :
( ( ( apply @ SV5 @ ( sK12_SY201 @ SV18 @ SV5 ) @ ( sK10_SY147 @ SV5 @ SV18 ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(421,plain,
! [SV28: $i,SV6: $i,SV19: $i,SV45: $i] :
( ( ( ~ ( member @ SV45 @ SV19 )
| ~ ( apply @ SV6 @ SV45 @ SV28 ) )
= $true )
| ( ( SV28 = SV45 )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(422,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( ~ ( ~ ( member @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV19 )
| ~ ( apply @ SV6 @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV28 ) ) )
= $true )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(423,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( member @ SV7 @ SV20 )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(424,plain,
! [SV35: $i,SV20: $i,SV29: $i,SV7: $i] :
( ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(425,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i,SV49: $i] :
( ( ( ~ ( ~ ( member @ SV49 @ SV35 )
| ~ ( upper_bound @ SV49 @ SV29 @ SV20 ) ) )
= $false )
| ( ( apply @ SV29 @ SV7 @ SV49 )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(426,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( member @ SV7 @ SV20 )
= $false )
| ( ( ~ ( upper_bound @ SV7 @ SV29 @ SV20 ) )
= $true )
| ( ( ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(427,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( member @ SV10 @ SV23 )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(428,plain,
! [SV36: $i,SV23: $i,SV31: $i,SV10: $i] :
( ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(429,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i,SV50: $i] :
( ( ( ~ ( ~ ( member @ SV50 @ SV36 )
| ~ ( lower_bound @ SV50 @ SV31 @ SV23 ) ) )
= $false )
| ( ( apply @ SV31 @ SV50 @ SV10 )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(430,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( member @ SV10 @ SV23 )
= $false )
| ( ( ~ ( lower_bound @ SV10 @ SV31 @ SV23 ) )
= $true )
| ( ( ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(431,plain,
! [SV32: $i,SV11: $i,SV24: $i,SV46: $i] :
( ( ( ~ ( member @ SV46 @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ SV46 ) )
= $true )
| ( ( SV32 = SV46 )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(432,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( ~ ( ~ ( member @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) ) ) )
= $true )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(433,plain,
! [SV26: $i,SV13: $i,SV34: $i] :
( ( ( member @ ( sK15_SY191 @ SV34 @ SV13 @ SV26 ) @ SV26 )
= $true )
| ( ( member @ SV34 @ SV26 )
= $false )
| ( ( greatest @ SV34 @ SV13 @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(434,plain,
! [SV3: $i,SV16: $i,SV51: $i] :
( ( ( member @ SV51 @ SV16 )
= $false )
| ( ( apply @ SV3 @ SV51 @ SV51 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(435,plain,
! [SV3: $i,SV53: $i,SV16: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( member @ SV52 @ SV16 )
| ~ ( member @ SV53 @ SV16 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) )
| ( SV52 = SV53 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(436,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SV43 @ SV16 ) )
| ~ ( member @ SV48 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(437,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(438,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(439,plain,
! [SV5: $i,SV44: $i,SV18: $i,SV41: $i] :
( ( ( ~ ( member @ SV41 @ SV18 ) )
= $true )
| ( ( ~ ( member @ SV44 @ SV18 ) )
= $true )
| ( ( ( apply @ SV5 @ SV41 @ SV44 )
| ( apply @ SV5 @ SV44 @ SV41 ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(440,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( member @ ( sK10_SY147 @ SV5 @ SV18 ) @ SV18 )
| ~ ( member @ ( sK12_SY201 @ SV18 @ SV5 ) @ SV18 ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(441,plain,
! [SV28: $i,SV6: $i,SV19: $i,SV45: $i] :
( ( ( ~ ( member @ SV45 @ SV19 ) )
= $true )
| ( ( ~ ( apply @ SV6 @ SV45 @ SV28 ) )
= $true )
| ( ( SV28 = SV45 )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(442,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( ~ ( member @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV19 )
| ~ ( apply @ SV6 @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV28 ) )
= $false )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(443,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i,SV49: $i] :
( ( ( ~ ( member @ SV49 @ SV35 )
| ~ ( upper_bound @ SV49 @ SV29 @ SV20 ) )
= $true )
| ( ( apply @ SV29 @ SV7 @ SV49 )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(444,plain,
! [SV35: $i,SV20: $i,SV29: $i,SV7: $i] :
( ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( ~ ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(445,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i,SV50: $i] :
( ( ( ~ ( member @ SV50 @ SV36 )
| ~ ( lower_bound @ SV50 @ SV31 @ SV23 ) )
= $true )
| ( ( apply @ SV31 @ SV50 @ SV10 )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(446,plain,
! [SV36: $i,SV23: $i,SV31: $i,SV10: $i] :
( ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( ~ ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(447,plain,
! [SV32: $i,SV11: $i,SV24: $i,SV46: $i] :
( ( ( ~ ( member @ SV46 @ SV24 ) )
= $true )
| ( ( ~ ( apply @ SV11 @ SV32 @ SV46 ) )
= $true )
| ( ( SV32 = SV46 )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(448,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) @ SV24 )
| ~ ( apply @ SV11 @ SV32 @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) ) )
= $false )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(449,plain,
! [SV3: $i,SV53: $i,SV16: $i,SV52: $i] :
( ( ( ~ ( ~ ( member @ SV52 @ SV16 )
| ~ ( member @ SV53 @ SV16 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) )
| ( SV52 = SV53 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(450,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ~ ~ ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SV43 @ SV16 ) ) )
= $true )
| ( ( ~ ( member @ SV48 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(451,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY137: $i,SY138: $i] :
( ~ ~ ( ~ ( member @ SY137 @ SV16 )
| ~ ( member @ SY138 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY137 @ SY138 )
| ~ ( apply @ SV3 @ SY138 @ SY137 ) )
| ( SY137 = SY138 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(452,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY203: $i] :
( ~ ~ ( ~ ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY203 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ SY203 )
| ~ ( apply @ SV3 @ SY203 @ ( sK17_SY137 @ SV3 @ SV16 ) ) )
| ( ( sK17_SY137 @ SV3 @ SV16 )
= SY203 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[438]) ).
thf(453,plain,
! [SV5: $i,SV44: $i,SV18: $i,SV41: $i] :
( ( ( member @ SV41 @ SV18 )
= $false )
| ( ( ~ ( member @ SV44 @ SV18 ) )
= $true )
| ( ( ( apply @ SV5 @ SV41 @ SV44 )
| ( apply @ SV5 @ SV44 @ SV41 ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(454,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( member @ ( sK10_SY147 @ SV5 @ SV18 ) @ SV18 ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(455,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( member @ ( sK12_SY201 @ SV18 @ SV5 ) @ SV18 ) )
= $false )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(456,plain,
! [SV28: $i,SV6: $i,SV19: $i,SV45: $i] :
( ( ( member @ SV45 @ SV19 )
= $false )
| ( ( ~ ( apply @ SV6 @ SV45 @ SV28 ) )
= $true )
| ( ( SV28 = SV45 )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(457,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( ~ ( member @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV19 ) )
= $false )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(458,plain,
! [SV19: $i,SV28: $i,SV6: $i] :
( ( ( ~ ( apply @ SV6 @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV28 ) )
= $false )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(459,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i,SV49: $i] :
( ( ( ~ ( member @ SV49 @ SV35 ) )
= $true )
| ( ( ~ ( upper_bound @ SV49 @ SV29 @ SV20 ) )
= $true )
| ( ( apply @ SV29 @ SV7 @ SV49 )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(460,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i] :
( ( ( ! [SY193: $i] :
( ~ ~ ( ~ ( member @ SY193 @ SV35 )
| ~ ( upper_bound @ SY193 @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ SY193 ) ) )
= $false )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(461,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i,SV50: $i] :
( ( ( ~ ( member @ SV50 @ SV36 ) )
= $true )
| ( ( ~ ( lower_bound @ SV50 @ SV31 @ SV23 ) )
= $true )
| ( ( apply @ SV31 @ SV50 @ SV10 )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(462,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i] :
( ( ( ! [SY195: $i] :
( ~ ~ ( ~ ( member @ SY195 @ SV36 )
| ~ ( lower_bound @ SY195 @ SV31 @ SV23 ) )
| ( apply @ SV31 @ SY195 @ SV10 ) ) )
= $false )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(463,plain,
! [SV32: $i,SV11: $i,SV24: $i,SV46: $i] :
( ( ( member @ SV46 @ SV24 )
= $false )
| ( ( ~ ( apply @ SV11 @ SV32 @ SV46 ) )
= $true )
| ( ( SV32 = SV46 )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(464,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( ~ ( member @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) @ SV24 ) )
= $false )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(465,plain,
! [SV24: $i,SV32: $i,SV11: $i] :
( ( ( ~ ( apply @ SV11 @ SV32 @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) ) )
= $false )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(466,plain,
! [SV3: $i,SV53: $i,SV16: $i,SV52: $i] :
( ( ( ~ ( member @ SV52 @ SV16 )
| ~ ( member @ SV53 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) )
| ( SV52 = SV53 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(467,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ~ ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SV43 @ SV16 ) ) )
= $false )
| ( ( ~ ( member @ SV48 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(468,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY204: $i] :
( ~ ~ ( ~ ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY204 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ SY204 )
| ~ ( apply @ SV3 @ SY204 @ ( sK18_SY137 @ SV3 @ SV16 ) ) )
| ( ( sK18_SY137 @ SV3 @ SV16 )
= SY204 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[451]) ).
thf(469,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) ) )
| ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[452]) ).
thf(470,plain,
! [SV5: $i,SV41: $i,SV18: $i,SV44: $i] :
( ( ( member @ SV44 @ SV18 )
= $false )
| ( ( member @ SV41 @ SV18 )
= $false )
| ( ( ( apply @ SV5 @ SV41 @ SV44 )
| ( apply @ SV5 @ SV44 @ SV41 ) )
= $true )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(471,plain,
! [SV18: $i,SV5: $i] :
( ( ( member @ ( sK10_SY147 @ SV5 @ SV18 ) @ SV18 )
= $true )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(472,plain,
! [SV5: $i,SV18: $i] :
( ( ( member @ ( sK12_SY201 @ SV18 @ SV5 ) @ SV18 )
= $true )
| ( ( order @ SV5 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(473,plain,
! [SV19: $i,SV28: $i,SV45: $i,SV6: $i] :
( ( ( apply @ SV6 @ SV45 @ SV28 )
= $false )
| ( ( member @ SV45 @ SV19 )
= $false )
| ( ( SV28 = SV45 )
= $true )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(474,plain,
! [SV19: $i,SV6: $i,SV28: $i] :
( ( ( member @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV19 )
= $true )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(475,plain,
! [SV19: $i,SV28: $i,SV6: $i] :
( ( ( apply @ SV6 @ ( sK13_SY177 @ SV28 @ SV6 @ SV19 ) @ SV28 )
= $true )
| ( ( member @ SV28 @ SV19 )
= $false )
| ( ( min @ SV28 @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(476,plain,
! [SV7: $i,SV20: $i,SV29: $i,SV35: $i,SV49: $i] :
( ( ( member @ SV49 @ SV35 )
= $false )
| ( ( ~ ( upper_bound @ SV49 @ SV29 @ SV20 ) )
= $true )
| ( ( apply @ SV29 @ SV7 @ SV49 )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(477,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV35 )
| ~ ( upper_bound @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV29 @ SV20 ) )
| ( apply @ SV29 @ SV7 @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) ) )
= $false )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[460]) ).
thf(478,plain,
! [SV10: $i,SV23: $i,SV31: $i,SV36: $i,SV50: $i] :
( ( ( member @ SV50 @ SV36 )
= $false )
| ( ( ~ ( lower_bound @ SV50 @ SV31 @ SV23 ) )
= $true )
| ( ( apply @ SV31 @ SV50 @ SV10 )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(479,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV36 )
| ~ ( lower_bound @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV31 @ SV23 ) )
| ( apply @ SV31 @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV10 ) )
= $false )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[462]) ).
thf(480,plain,
! [SV24: $i,SV46: $i,SV32: $i,SV11: $i] :
( ( ( apply @ SV11 @ SV32 @ SV46 )
= $false )
| ( ( member @ SV46 @ SV24 )
= $false )
| ( ( SV32 = SV46 )
= $true )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(481,plain,
! [SV24: $i,SV11: $i,SV32: $i] :
( ( ( member @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) @ SV24 )
= $true )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(482,plain,
! [SV24: $i,SV32: $i,SV11: $i] :
( ( ( apply @ SV11 @ SV32 @ ( sK14_SY187 @ SV32 @ SV11 @ SV24 ) )
= $true )
| ( ( member @ SV32 @ SV24 )
= $false )
| ( ( max @ SV32 @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(483,plain,
! [SV3: $i,SV53: $i,SV16: $i,SV52: $i] :
( ( ( ~ ( member @ SV52 @ SV16 ) )
= $true )
| ( ( ~ ( member @ SV53 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) )
| ( SV52 = SV53 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(484,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ~ ( member @ SV40 @ SV16 )
| ~ ( member @ SV43 @ SV16 ) )
= $true )
| ( ( ~ ( member @ SV48 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(485,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) ) )
| ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[468]) ).
thf(486,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(487,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) ) )
| ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(488,plain,
! [SV18: $i,SV44: $i,SV41: $i,SV5: $i] :
( ( ( apply @ SV5 @ SV41 @ SV44 )
= $true )
| ( ( apply @ SV5 @ SV44 @ SV41 )
= $true )
| ( ( member @ SV41 @ SV18 )
= $false )
| ( ( member @ SV44 @ SV18 )
= $false )
| ( ( total_order @ SV5 @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(489,plain,
! [SV7: $i,SV35: $i,SV20: $i,SV29: $i,SV49: $i] :
( ( ( upper_bound @ SV49 @ SV29 @ SV20 )
= $false )
| ( ( member @ SV49 @ SV35 )
= $false )
| ( ( apply @ SV29 @ SV7 @ SV49 )
= $true )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(490,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV35 )
| ~ ( upper_bound @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV29 @ SV20 ) ) )
= $false )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(491,plain,
! [SV35: $i,SV20: $i,SV7: $i,SV29: $i] :
( ( ( apply @ SV29 @ SV7 @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) )
= $false )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(492,plain,
! [SV10: $i,SV36: $i,SV23: $i,SV31: $i,SV50: $i] :
( ( ( lower_bound @ SV50 @ SV31 @ SV23 )
= $false )
| ( ( member @ SV50 @ SV36 )
= $false )
| ( ( apply @ SV31 @ SV50 @ SV10 )
= $true )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(493,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV36 )
| ~ ( lower_bound @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV31 @ SV23 ) ) )
= $false )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(494,plain,
! [SV36: $i,SV23: $i,SV10: $i,SV31: $i] :
( ( ( apply @ SV31 @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV10 )
= $false )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(495,plain,
! [SV3: $i,SV53: $i,SV16: $i,SV52: $i] :
( ( ( member @ SV52 @ SV16 )
= $false )
| ( ( ~ ( member @ SV53 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) )
| ( SV52 = SV53 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(496,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( ~ ( member @ SV40 @ SV16 ) )
= $true )
| ( ( ~ ( member @ SV43 @ SV16 ) )
= $true )
| ( ( ~ ( member @ SV48 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(497,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(498,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) ) )
| ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[485]) ).
thf(499,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(500,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(501,plain,
! [SV16: $i,SV3: $i] :
( ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(502,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( ~ ( member @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV35 )
| ~ ( upper_bound @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV29 @ SV20 ) ) )
= $true )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(503,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( ~ ( member @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV36 )
| ~ ( lower_bound @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV31 @ SV23 ) ) )
= $true )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(504,plain,
! [SV3: $i,SV52: $i,SV16: $i,SV53: $i] :
( ( ( member @ SV53 @ SV16 )
= $false )
| ( ( member @ SV52 @ SV16 )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) )
| ( SV52 = SV53 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(505,plain,
! [SV3: $i,SV48: $i,SV43: $i,SV16: $i,SV40: $i] :
( ( ( member @ SV40 @ SV16 )
= $false )
| ( ( ~ ( member @ SV43 @ SV16 ) )
= $true )
| ( ( ~ ( member @ SV48 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(506,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(507,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(508,plain,
! [SV16: $i,SV3: $i] :
( ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(509,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(510,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(511,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(512,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV35 )
| ~ ( upper_bound @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV29 @ SV20 ) )
= $false )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(513,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( member @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV36 )
| ~ ( lower_bound @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV31 @ SV23 ) )
= $false )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(514,plain,
! [SV16: $i,SV53: $i,SV52: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) ) )
= $true )
| ( ( SV52 = SV53 )
= $true )
| ( ( member @ SV52 @ SV16 )
= $false )
| ( ( member @ SV53 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(515,plain,
! [SV3: $i,SV48: $i,SV40: $i,SV16: $i,SV43: $i] :
( ( ( member @ SV43 @ SV16 )
= $false )
| ( ( member @ SV40 @ SV16 )
= $false )
| ( ( ~ ( member @ SV48 @ SV16 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(516,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(517,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(518,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(519,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(520,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(521,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(522,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY205: $i,SY206: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY205 @ SV16 ) )
| ~ ( member @ SY206 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ SY205 )
| ~ ( apply @ SV3 @ SY205 @ SY206 ) )
| ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ SY206 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[511]) ).
thf(523,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV35 ) )
= $false )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(524,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( upper_bound @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV29 @ SV20 ) )
= $false )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(525,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( member @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV36 ) )
= $false )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(526,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( lower_bound @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV31 @ SV23 ) )
= $false )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(527,plain,
! [SV16: $i,SV53: $i,SV52: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) ) )
= $false )
| ( ( SV52 = SV53 )
= $true )
| ( ( member @ SV52 @ SV16 )
= $false )
| ( ( member @ SV53 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(528,plain,
! [SV3: $i,SV43: $i,SV40: $i,SV16: $i,SV48: $i] :
( ( ( member @ SV48 @ SV16 )
= $false )
| ( ( member @ SV40 @ SV16 )
= $false )
| ( ( member @ SV43 @ SV16 )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
| ( apply @ SV3 @ SV40 @ SV48 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(529,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(530,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(531,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(532,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY207: $i,SY208: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY207 @ SV16 ) )
| ~ ( member @ SY208 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ SY207 )
| ~ ( apply @ SV3 @ SY207 @ SY208 ) )
| ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ SY208 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[518]) ).
thf(533,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(534,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(535,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(536,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(537,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY209: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY209 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK25_SY205 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK25_SY205 @ SV16 @ SV3 ) @ SY209 ) )
| ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ SY209 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[522]) ).
thf(538,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( member @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV35 )
= $true )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(539,plain,
! [SV35: $i,SV29: $i,SV20: $i,SV7: $i] :
( ( ( upper_bound @ ( sK20_SY193 @ SV7 @ SV20 @ SV29 @ SV35 ) @ SV29 @ SV20 )
= $true )
| ( ( member @ SV7 @ SV20 )
= $false )
| ( ( upper_bound @ SV7 @ SV29 @ SV20 )
= $false )
| ( ( least_upper_bound @ SV7 @ SV20 @ SV29 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(540,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( member @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV36 )
= $true )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(541,plain,
! [SV36: $i,SV31: $i,SV23: $i,SV10: $i] :
( ( ( lower_bound @ ( sK21_SY195 @ SV10 @ SV23 @ SV31 @ SV36 ) @ SV31 @ SV23 )
= $true )
| ( ( member @ SV10 @ SV23 )
= $false )
| ( ( lower_bound @ SV10 @ SV31 @ SV23 )
= $false )
| ( ( greatest_lower_bound @ SV10 @ SV23 @ SV31 @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(542,plain,
! [SV16: $i,SV53: $i,SV52: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ SV52 @ SV53 )
| ~ ( apply @ SV3 @ SV53 @ SV52 ) )
= $true )
| ( ( SV52 = SV53 )
= $true )
| ( ( member @ SV52 @ SV16 )
= $false )
| ( ( member @ SV53 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(543,plain,
! [SV16: $i,SV48: $i,SV43: $i,SV40: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) ) )
= $true )
| ( ( apply @ SV3 @ SV40 @ SV48 )
= $true )
| ( ( member @ SV43 @ SV16 )
= $false )
| ( ( member @ SV40 @ SV16 )
= $false )
| ( ( member @ SV48 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(544,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(545,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(546,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(547,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(548,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY210: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY210 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK26_SY207 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK26_SY207 @ SV16 @ SV3 ) @ SY210 ) )
| ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ SY210 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[532]) ).
thf(549,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(550,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(551,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(552,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(553,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK27_SY209 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK25_SY205 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK25_SY205 @ SV16 @ SV3 ) @ ( sK27_SY209 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK27_SY209 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[537]) ).
thf(554,plain,
! [SV16: $i,SV53: $i,SV52: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ SV52 @ SV53 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV53 @ SV52 ) )
= $true )
| ( ( SV52 = SV53 )
= $true )
| ( ( member @ SV52 @ SV16 )
= $false )
| ( ( member @ SV53 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(555,plain,
! [SV16: $i,SV48: $i,SV43: $i,SV40: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) ) )
= $false )
| ( ( apply @ SV3 @ SV40 @ SV48 )
= $true )
| ( ( member @ SV43 @ SV16 )
= $false )
| ( ( member @ SV40 @ SV16 )
= $false )
| ( ( member @ SV48 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(556,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(557,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(558,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(559,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ~ ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(560,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK28_SY210 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK26_SY207 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK26_SY207 @ SV16 @ SV3 ) @ ( sK28_SY210 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK28_SY210 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[548]) ).
thf(561,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY211: $i,SY212: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY211 @ SV16 ) )
| ~ ( member @ SY212 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ SY211 )
| ~ ( apply @ SV3 @ SY211 @ SY212 ) )
| ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ SY212 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[549]) ).
thf(562,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY213: $i,SY214: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY213 @ SV16 ) )
| ~ ( member @ SY214 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ SY213 )
| ~ ( apply @ SV3 @ SY213 @ SY214 ) )
| ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ SY214 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[550]) ).
thf(563,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(564,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(565,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK27_SY209 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(566,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK25_SY205 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK25_SY205 @ SV16 @ SV3 ) @ ( sK27_SY209 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK27_SY209 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(567,plain,
! [SV16: $i,SV53: $i,SV52: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV52 @ SV53 )
= $false )
| ( ( ~ ( apply @ SV3 @ SV53 @ SV52 ) )
= $true )
| ( ( SV52 = SV53 )
= $true )
| ( ( member @ SV52 @ SV16 )
= $false )
| ( ( member @ SV53 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(568,plain,
! [SV16: $i,SV48: $i,SV43: $i,SV40: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ SV40 @ SV43 )
| ~ ( apply @ SV3 @ SV43 @ SV48 ) )
= $true )
| ( ( apply @ SV3 @ SV40 @ SV48 )
= $true )
| ( ( member @ SV43 @ SV16 )
= $false )
| ( ( member @ SV40 @ SV16 )
= $false )
| ( ( member @ SV48 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(569,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY215: $i,SY216: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY215 @ SV16 ) )
| ~ ( member @ SY216 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ SY215 )
| ~ ( apply @ SV3 @ SY215 @ SY216 ) )
| ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ SY216 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[556]) ).
thf(570,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY217: $i,SY218: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY217 @ SV16 ) )
| ~ ( member @ SY218 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ SY217 )
| ~ ( apply @ SV3 @ SY217 @ SY218 ) )
| ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ SY218 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[557]) ).
thf(571,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(572,plain,
! [SV3: $i,SV16: $i] :
( ( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY139 @ SV16 )
| ~ ( member @ SY140 @ SV16 ) )
| ~ ( member @ SY141 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ SY139 @ SY140 )
| ~ ( apply @ SV3 @ SY140 @ SY141 ) )
| ( apply @ SV3 @ SY139 @ SY141 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(573,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK28_SY210 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(574,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK26_SY207 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK26_SY207 @ SV16 @ SV3 ) @ ( sK28_SY210 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK28_SY210 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(575,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY219: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY219 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK33_SY211 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK33_SY211 @ SV16 @ SV3 ) @ SY219 ) )
| ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ SY219 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[561]) ).
thf(576,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY220: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY220 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK34_SY213 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK34_SY213 @ SV16 @ SV3 ) @ SY220 ) )
| ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ SY220 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[562]) ).
thf(577,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY221: $i,SY222: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY221 @ SV16 ) )
| ~ ( member @ SY222 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ SY221 )
| ~ ( apply @ SV3 @ SY221 @ SY222 ) )
| ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ SY222 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[563]) ).
thf(578,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY223: $i,SY224: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY223 @ SV16 ) )
| ~ ( member @ SY224 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ SY223 )
| ~ ( apply @ SV3 @ SY223 @ SY224 ) )
| ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ SY224 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[564]) ).
thf(579,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK27_SY209 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(580,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK25_SY205 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK25_SY205 @ SV16 @ SV3 ) @ ( sK27_SY209 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[566]) ).
thf(581,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK27_SY209 @ SV16 @ SV3 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[566]) ).
thf(582,plain,
! [SV16: $i,SV52: $i,SV53: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV53 @ SV52 )
= $false )
| ( ( apply @ SV3 @ SV52 @ SV53 )
= $false )
| ( ( SV52 = SV53 )
= $true )
| ( ( member @ SV52 @ SV16 )
= $false )
| ( ( member @ SV53 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(583,plain,
! [SV16: $i,SV48: $i,SV43: $i,SV40: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV43 @ SV48 ) )
= $true )
| ( ( apply @ SV3 @ SV40 @ SV48 )
= $true )
| ( ( member @ SV43 @ SV16 )
= $false )
| ( ( member @ SV40 @ SV16 )
= $false )
| ( ( member @ SV48 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(584,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY225: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY225 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK37_SY215 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK37_SY215 @ SV16 @ SV3 ) @ SY225 ) )
| ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ SY225 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[569]) ).
thf(585,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY226: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY226 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK38_SY217 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK38_SY217 @ SV16 @ SV3 ) @ SY226 ) )
| ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ SY226 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[570]) ).
thf(586,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY227: $i,SY228: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY227 @ SV16 ) )
| ~ ( member @ SY228 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ SY227 )
| ~ ( apply @ SV3 @ SY227 @ SY228 ) )
| ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ SY228 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[571]) ).
thf(587,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY229: $i,SY230: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ SY229 @ SV16 ) )
| ~ ( member @ SY230 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ SY229 )
| ~ ( apply @ SV3 @ SY229 @ SY230 ) )
| ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ SY230 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[572]) ).
thf(588,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK28_SY210 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(589,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK26_SY207 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK26_SY207 @ SV16 @ SV3 ) @ ( sK28_SY210 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(590,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK28_SY210 @ SV16 @ SV3 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(591,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK41_SY219 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK33_SY211 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK33_SY211 @ SV16 @ SV3 ) @ ( sK41_SY219 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK41_SY219 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[575]) ).
thf(592,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK42_SY220 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK34_SY213 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK34_SY213 @ SV16 @ SV3 ) @ ( sK42_SY220 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK42_SY220 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[576]) ).
thf(593,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY231: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY231 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK43_SY221 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK43_SY221 @ SV16 @ SV3 ) @ SY231 ) )
| ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ SY231 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[577]) ).
thf(594,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY232: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY232 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK44_SY223 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK44_SY223 @ SV16 @ SV3 ) @ SY232 ) )
| ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ SY232 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[578]) ).
thf(595,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK27_SY209 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(596,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK25_SY205 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK25_SY205 @ SV16 @ SV3 ) @ ( sK27_SY209 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(597,plain,
! [SV16: $i,SV48: $i,SV43: $i,SV40: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV40 @ SV43 )
= $false )
| ( ( ~ ( apply @ SV3 @ SV43 @ SV48 ) )
= $true )
| ( ( apply @ SV3 @ SV40 @ SV48 )
= $true )
| ( ( member @ SV43 @ SV16 )
= $false )
| ( ( member @ SV40 @ SV16 )
= $false )
| ( ( member @ SV48 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(598,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK45_SY225 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK37_SY215 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK37_SY215 @ SV16 @ SV3 ) @ ( sK45_SY225 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK45_SY225 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[584]) ).
thf(599,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK46_SY226 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK38_SY217 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK38_SY217 @ SV16 @ SV3 ) @ ( sK46_SY226 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK46_SY226 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[585]) ).
thf(600,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY233: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY233 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK47_SY227 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK47_SY227 @ SV16 @ SV3 ) @ SY233 ) )
| ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ SY233 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[586]) ).
thf(601,plain,
! [SV16: $i,SV3: $i] :
( ( ( ! [SY234: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ SY234 @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK48_SY229 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK48_SY229 @ SV16 @ SV3 ) @ SY234 ) )
| ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ SY234 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[587]) ).
thf(602,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK28_SY210 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(603,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK26_SY207 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK26_SY207 @ SV16 @ SV3 ) @ ( sK28_SY210 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(604,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK41_SY219 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(605,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK33_SY211 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK33_SY211 @ SV16 @ SV3 ) @ ( sK41_SY219 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK41_SY219 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(606,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK42_SY220 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(607,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK34_SY213 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK34_SY213 @ SV16 @ SV3 ) @ ( sK42_SY220 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK42_SY220 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(608,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK49_SY231 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK43_SY221 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK43_SY221 @ SV16 @ SV3 ) @ ( sK49_SY231 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK49_SY231 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[593]) ).
thf(609,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK50_SY232 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK44_SY223 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK44_SY223 @ SV16 @ SV3 ) @ ( sK50_SY232 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK50_SY232 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[594]) ).
thf(610,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(611,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK27_SY209 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[595]) ).
thf(612,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK25_SY205 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK25_SY205 @ SV16 @ SV3 ) @ ( sK27_SY209 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(613,plain,
! [SV16: $i,SV40: $i,SV48: $i,SV43: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV43 @ SV48 )
= $false )
| ( ( apply @ SV3 @ SV40 @ SV43 )
= $false )
| ( ( apply @ SV3 @ SV40 @ SV48 )
= $true )
| ( ( member @ SV43 @ SV16 )
= $false )
| ( ( member @ SV40 @ SV16 )
= $false )
| ( ( member @ SV48 @ SV16 )
= $false )
| ( ( order @ SV3 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(614,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK45_SY225 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(615,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK37_SY215 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK37_SY215 @ SV16 @ SV3 ) @ ( sK45_SY225 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK45_SY225 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[598]) ).
thf(616,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK46_SY226 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(617,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK38_SY217 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK38_SY217 @ SV16 @ SV3 ) @ ( sK46_SY226 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK46_SY226 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[599]) ).
thf(618,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK51_SY233 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK47_SY227 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK47_SY227 @ SV16 @ SV3 ) @ ( sK51_SY233 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK51_SY233 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[600]) ).
thf(619,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK52_SY234 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ~ ( ~ ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK48_SY229 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK48_SY229 @ SV16 @ SV3 ) @ ( sK52_SY234 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK52_SY234 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[601]) ).
thf(620,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(621,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK28_SY210 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(622,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK26_SY207 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK26_SY207 @ SV16 @ SV3 ) @ ( sK28_SY210 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(623,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK41_SY219 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(624,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK33_SY211 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK33_SY211 @ SV16 @ SV3 ) @ ( sK41_SY219 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(625,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK41_SY219 @ SV16 @ SV3 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(626,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK42_SY220 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(627,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK34_SY213 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK34_SY213 @ SV16 @ SV3 ) @ ( sK42_SY220 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(628,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK42_SY220 @ SV16 @ SV3 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(629,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK49_SY231 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(630,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK43_SY221 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK43_SY221 @ SV16 @ SV3 ) @ ( sK49_SY231 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK49_SY231 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[608]) ).
thf(631,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK50_SY232 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(632,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK44_SY223 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK44_SY223 @ SV16 @ SV3 ) @ ( sK50_SY232 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK50_SY232 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(633,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(634,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK27_SY209 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(635,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK25_SY205 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(636,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK25_SY205 @ SV16 @ SV3 ) @ ( sK27_SY209 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(637,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK45_SY225 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(638,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK37_SY215 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK37_SY215 @ SV16 @ SV3 ) @ ( sK45_SY225 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(639,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK45_SY225 @ SV16 @ SV3 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(640,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK46_SY226 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(641,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK38_SY217 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK38_SY217 @ SV16 @ SV3 ) @ ( sK46_SY226 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(642,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK46_SY226 @ SV16 @ SV3 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(643,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK51_SY233 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(644,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK47_SY227 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK47_SY227 @ SV16 @ SV3 ) @ ( sK51_SY233 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK51_SY233 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(645,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK52_SY234 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(646,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK48_SY229 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK48_SY229 @ SV16 @ SV3 ) @ ( sK52_SY234 @ SV16 @ SV3 ) ) )
| ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK52_SY234 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(647,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(648,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK28_SY210 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(649,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK26_SY207 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(650,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK26_SY207 @ SV16 @ SV3 ) @ ( sK28_SY210 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(651,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK41_SY219 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(652,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK33_SY211 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK33_SY211 @ SV16 @ SV3 ) @ ( sK41_SY219 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(653,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK42_SY220 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(654,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK34_SY213 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK34_SY213 @ SV16 @ SV3 ) @ ( sK42_SY220 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(655,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK49_SY231 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(656,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK43_SY221 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK43_SY221 @ SV16 @ SV3 ) @ ( sK49_SY231 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(657,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK49_SY231 @ SV16 @ SV3 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(658,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK50_SY232 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(659,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK44_SY223 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK44_SY223 @ SV16 @ SV3 ) @ ( sK50_SY232 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(660,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK50_SY232 @ SV16 @ SV3 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[632]) ).
thf(661,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(662,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK23_SY139 @ SV3 @ SV16 ) @ ( sK25_SY205 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(663,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK25_SY205 @ SV16 @ SV3 ) @ ( sK27_SY209 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(664,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK45_SY225 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(665,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK37_SY215 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK37_SY215 @ SV16 @ SV3 ) @ ( sK45_SY225 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(666,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK46_SY226 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(667,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK38_SY217 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK38_SY217 @ SV16 @ SV3 ) @ ( sK46_SY226 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(668,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK51_SY233 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(669,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK47_SY227 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK47_SY227 @ SV16 @ SV3 ) @ ( sK51_SY233 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[644]) ).
thf(670,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK51_SY233 @ SV16 @ SV3 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[644]) ).
thf(671,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK52_SY234 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(672,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK48_SY229 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK48_SY229 @ SV16 @ SV3 ) @ ( sK52_SY234 @ SV16 @ SV3 ) ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(673,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK52_SY234 @ SV16 @ SV3 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(674,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(675,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK24_SY139 @ SV3 @ SV16 ) @ ( sK26_SY207 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(676,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK26_SY207 @ SV16 @ SV3 ) @ ( sK28_SY210 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(677,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(678,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK41_SY219 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(679,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK33_SY211 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK33_SY211 @ SV16 @ SV3 ) @ ( sK41_SY219 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(680,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(681,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK42_SY220 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(682,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK34_SY213 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK34_SY213 @ SV16 @ SV3 ) @ ( sK42_SY220 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(683,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK49_SY231 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(684,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK43_SY221 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK43_SY221 @ SV16 @ SV3 ) @ ( sK49_SY231 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(685,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK50_SY232 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(686,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK44_SY223 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK44_SY223 @ SV16 @ SV3 ) @ ( sK50_SY232 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(687,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(688,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(689,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(690,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK45_SY225 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(691,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK37_SY215 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK37_SY215 @ SV16 @ SV3 ) @ ( sK45_SY225 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(692,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(693,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK46_SY226 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(694,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK38_SY217 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK38_SY217 @ SV16 @ SV3 ) @ ( sK46_SY226 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(695,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK51_SY233 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(696,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK47_SY227 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK47_SY227 @ SV16 @ SV3 ) @ ( sK51_SY233 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(697,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) )
| ~ ( member @ ( sK52_SY234 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(698,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK48_SY229 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK48_SY229 @ SV16 @ SV3 ) @ ( sK52_SY234 @ SV16 @ SV3 ) ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(699,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(700,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(701,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(702,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK41_SY219 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(703,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK33_SY211 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(704,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK33_SY211 @ SV16 @ SV3 ) @ ( sK41_SY219 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(705,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(706,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK42_SY220 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(707,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK34_SY213 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(708,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK34_SY213 @ SV16 @ SV3 ) @ ( sK42_SY220 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[682]) ).
thf(709,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(710,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK49_SY231 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(711,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK43_SY221 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK43_SY221 @ SV16 @ SV3 ) @ ( sK49_SY231 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(712,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(713,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK50_SY232 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(714,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK44_SY223 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK44_SY223 @ SV16 @ SV3 ) @ ( sK50_SY232 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(715,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK23_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(716,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK25_SY205 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( ( sK17_SY137 @ SV3 @ SV16 )
= ( sK19_SY203 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(717,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(718,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK45_SY225 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(719,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK37_SY215 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(720,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK37_SY215 @ SV16 @ SV3 ) @ ( sK45_SY225 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(721,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(722,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK46_SY226 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(723,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK38_SY217 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(724,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK38_SY217 @ SV16 @ SV3 ) @ ( sK46_SY226 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(725,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(726,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK51_SY233 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(727,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK47_SY227 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK47_SY227 @ SV16 @ SV3 ) @ ( sK51_SY233 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(728,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(729,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK52_SY234 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(730,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK48_SY229 @ SV16 @ SV3 ) )
| ~ ( apply @ SV3 @ ( sK48_SY229 @ SV16 @ SV3 ) @ ( sK52_SY234 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(731,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK24_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(732,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK26_SY207 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( ( sK18_SY137 @ SV3 @ SV16 )
= ( sK22_SY204 @ SV16 @ SV3 ) )
= $false )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(733,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(734,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK29_SY139 @ SV3 @ SV16 ) @ ( sK33_SY211 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(735,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK33_SY211 @ SV16 @ SV3 ) @ ( sK41_SY219 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(736,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(737,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK30_SY139 @ SV3 @ SV16 ) @ ( sK34_SY213 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(738,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK34_SY213 @ SV16 @ SV3 ) @ ( sK42_SY220 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(739,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(740,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK49_SY231 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(741,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK43_SY221 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(742,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK43_SY221 @ SV16 @ SV3 ) @ ( sK49_SY231 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(743,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(744,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK50_SY232 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(745,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK44_SY223 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(746,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK44_SY223 @ SV16 @ SV3 ) @ ( sK50_SY232 @ SV16 @ SV3 ) ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(747,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(748,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK31_SY139 @ SV3 @ SV16 ) @ ( sK37_SY215 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(749,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK37_SY215 @ SV16 @ SV3 ) @ ( sK45_SY225 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(750,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(751,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK32_SY139 @ SV3 @ SV16 ) @ ( sK38_SY217 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[723]) ).
thf(752,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK38_SY217 @ SV16 @ SV3 ) @ ( sK46_SY226 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[724]) ).
thf(753,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(754,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK51_SY233 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(755,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK47_SY227 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(756,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK47_SY227 @ SV16 @ SV3 ) @ ( sK51_SY233 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(757,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(758,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK52_SY234 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(759,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK48_SY229 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(760,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ ( sK48_SY229 @ SV16 @ SV3 ) @ ( sK52_SY234 @ SV16 @ SV3 ) ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(761,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(762,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(763,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(764,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(765,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(766,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK35_SY139 @ SV3 @ SV16 ) @ ( sK43_SY221 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(767,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK43_SY221 @ SV16 @ SV3 ) @ ( sK49_SY231 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(768,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(769,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK36_SY139 @ SV3 @ SV16 ) @ ( sK44_SY223 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(770,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK44_SY223 @ SV16 @ SV3 ) @ ( sK50_SY232 @ SV16 @ SV3 ) )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(771,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(772,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(773,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(774,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(775,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(776,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK39_SY139 @ SV3 @ SV16 ) @ ( sK47_SY227 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(777,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK47_SY227 @ SV16 @ SV3 ) @ ( sK51_SY233 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(778,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
| ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(779,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK40_SY139 @ SV3 @ SV16 ) @ ( sK48_SY229 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(780,plain,
! [SV16: $i,SV3: $i] :
( ( ( apply @ SV3 @ ( sK48_SY229 @ SV16 @ SV3 ) @ ( sK52_SY234 @ SV16 @ SV3 ) )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(781,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK29_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(782,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK33_SY211 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK17_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(783,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK30_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(784,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK34_SY213 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( member @ ( sK19_SY203 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(785,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(786,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(787,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(788,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(789,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK31_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(790,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK37_SY215 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK18_SY137 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(791,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK32_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(792,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK38_SY217 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK22_SY204 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(793,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(794,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[775]) ).
thf(795,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(796,plain,
! [SV3: $i,SV16: $i] :
( ( ( ~ ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 ) )
= $false )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(797,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK35_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(798,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK43_SY221 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK17_SY137 @ SV3 @ SV16 ) @ ( sK19_SY203 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(799,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK36_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(800,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK44_SY223 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK16_SY136 @ SV3 @ SV16 ) @ ( sK16_SY136 @ SV3 @ SV16 ) )
= $false )
| ( ( apply @ SV3 @ ( sK19_SY203 @ SV16 @ SV3 ) @ ( sK17_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(801,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK39_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(802,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK47_SY227 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK18_SY137 @ SV3 @ SV16 ) @ ( sK22_SY204 @ SV16 @ SV3 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(803,plain,
! [SV16: $i,SV3: $i] :
( ( ( member @ ( sK40_SY139 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(804,plain,
! [SV3: $i,SV16: $i] :
( ( ( member @ ( sK48_SY229 @ SV16 @ SV3 ) @ SV16 )
= $true )
| ( ( member @ ( sK16_SY136 @ SV3 @ SV16 ) @ SV16 )
= $true )
| ( ( apply @ SV3 @ ( sK22_SY204 @ SV16 @ SV3 ) @ ( sK18_SY137 @ SV3 @ SV16 ) )
= $true )
| ( ( order @ SV3 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(805,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[56,804,803,802,801,800,799,798,797,792,791,790,789,784,783,782,781,780,779,777,776,770,769,767,766,758,754,752,751,749,748,744,740,738,737,735,734,732,731,722,718,716,715,706,702,676,675,673,670,663,662,660,657,648,642,639,634,628,625,613,590,582,581,541,540,539,538,494,492,491,489,488,482,481,480,475,474,473,472,471,434,433,428,427,424,423,420,419,411,410,408,407,396,386,384,341,340,339,336,332,331,325,322,321,320,319,318,312,308,300,290,288,287,276,275,247,225,207,206,197]) ).
thf(806,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET800+4 : TPTP v9.3.1. Released v3.2.0.
% 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
% 0.08/0.17 % Computer : n003.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 14:54:24 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.04/1.23
% 6.04/1.23 No.of.Axioms: 13
% 6.04/1.23
% 6.04/1.23 Length.of.Defs: 0
% 6.04/1.23
% 6.04/1.23 Contains.Choice.Funs: false
% 6.04/1.23 ...........................
% 6.04/1.23
% 6.04/1.23 ********************************
% 6.04/1.23 * All subproblems solved! *
% 6.04/1.23 ********************************
% 6.04/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:14,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:805,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.04/1.23
% 6.04/1.23 %**** Beginning of derivation protocol ****
% 6.04/1.23 % SZS output start CNFRefutation
% See solution above
% 6.04/1.24
% 6.04/1.24 %**** End of derivation protocol ****
% 6.04/1.24 %**** no. of clauses in derivation: 798 ****
% 6.04/1.24 %**** clause counter: 805 ****
% 6.04/1.24
% 6.04/1.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:14,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:805,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------