%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SET767+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 10:41:01 AM UTC 2026
% Result : Theorem 3.22s 1.01s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 7
% Syntax : Number of formulae : 574 ( 75 unt; 0 typ; 0 def)
% Number of atoms : 7395 (2035 equ; 0 cnn)
% Maximal formula atoms : 13 ( 12 avg)
% Number of connectives : 17881 (3636 ~;2844 |; 39 &;11308 @)
% ( 18 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 67 usr; 6 con; 0-3 aty)
% Number of variables : 2065 ( 0 ^;2059 !; 6 ?;2065 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_apply,type,
apply: $i > $i > $i > $o ).
thf(tp_difference,type,
difference: $i > $i > $i ).
thf(tp_disjoint,type,
disjoint: $i > $i > $o ).
thf(tp_empty_set,type,
empty_set: $i ).
thf(tp_equal_set,type,
equal_set: $i > $i > $o ).
thf(tp_equivalence,type,
equivalence: $i > $i > $o ).
thf(tp_equivalence_class,type,
equivalence_class: $i > $i > $i > $i ).
thf(tp_intersection,type,
intersection: $i > $i > $i ).
thf(tp_member,type,
member: $i > $i > $o ).
thf(tp_partition,type,
partition: $i > $i > $o ).
thf(tp_power_set,type,
power_set: $i > $i ).
thf(tp_pre_order,type,
pre_order: $i > $i > $o ).
thf(tp_product,type,
product: $i > $i ).
thf(tp_sK10_SY74,type,
sK10_SY74: $i > $i > $i ).
thf(tp_sK11_SY86,type,
sK11_SY86: $i > $i > $i ).
thf(tp_sK12_SY105,type,
sK12_SY105: $i > $i > $i ).
thf(tp_sK13_SY107,type,
sK13_SY107: $i > $i > $i ).
thf(tp_sK14_SY43,type,
sK14_SY43: $i > $i > $i ).
thf(tp_sK15_SY43,type,
sK15_SY43: $i > $i > $i ).
thf(tp_sK16_SY108,type,
sK16_SY108: $i > $i > $i ).
thf(tp_sK17_SY88,type,
sK17_SY88: $i > $i > $i ).
thf(tp_sK18_SY110,type,
sK18_SY110: $i > $i > $i ).
thf(tp_sK19_SY88,type,
sK19_SY88: $i > $i > $i ).
thf(tp_sK1_E,type,
sK1_E: $i ).
thf(tp_sK20_SY88,type,
sK20_SY88: $i > $i > $i ).
thf(tp_sK21_SY113,type,
sK21_SY113: $i > $i > $i ).
thf(tp_sK22_SY88,type,
sK22_SY88: $i > $i > $i ).
thf(tp_sK23_SY116,type,
sK23_SY116: $i > $i > $i ).
thf(tp_sK24_SY118,type,
sK24_SY118: $i > $i > $i ).
thf(tp_sK25_SY120,type,
sK25_SY120: $i > $i > $i ).
thf(tp_sK26_SY121,type,
sK26_SY121: $i > $i > $i ).
thf(tp_sK27_SY123,type,
sK27_SY123: $i > $i > $i ).
thf(tp_sK28_SY88,type,
sK28_SY88: $i > $i > $i ).
thf(tp_sK29_SY88,type,
sK29_SY88: $i > $i > $i ).
thf(tp_sK2_SY30,type,
sK2_SY30: $i ).
thf(tp_sK30_SY124,type,
sK30_SY124: $i > $i > $i ).
thf(tp_sK31_SY88,type,
sK31_SY88: $i > $i > $i ).
thf(tp_sK32_SY88,type,
sK32_SY88: $i > $i > $i ).
thf(tp_sK33_SY125,type,
sK33_SY125: $i > $i > $i ).
thf(tp_sK34_SY126,type,
sK34_SY126: $i > $i > $i ).
thf(tp_sK35_SY128,type,
sK35_SY128: $i > $i > $i ).
thf(tp_sK36_SY112,type,
sK36_SY112: $i > $i > $i ).
thf(tp_sK37_SY43,type,
sK37_SY43: $i > $i > $i > $i ).
thf(tp_sK38_SY130,type,
sK38_SY130: $i > $i > $i ).
thf(tp_sK39_SY132,type,
sK39_SY132: $i > $i > $i ).
thf(tp_sK3_SY32,type,
sK3_SY32: $i ).
thf(tp_sK40_SY134,type,
sK40_SY134: $i > $i > $i ).
thf(tp_sK41_SY135,type,
sK41_SY135: $i > $i > $i ).
thf(tp_sK42_SY115,type,
sK42_SY115: $i > $i > $i ).
thf(tp_sK43_SY43,type,
sK43_SY43: $i > $i > $i > $i ).
thf(tp_sK44_SY136,type,
sK44_SY136: $i > $i > $i > $i ).
thf(tp_sK45_SY138,type,
sK45_SY138: $i > $i > $i ).
thf(tp_sK46_SY139,type,
sK46_SY139: $i > $i > $i ).
thf(tp_sK47_SY140,type,
sK47_SY140: $i > $i > $i > $i ).
thf(tp_sK48_SY142,type,
sK48_SY142: $i > $i > $i > $i ).
thf(tp_sK49_SY143,type,
sK49_SY143: $i > $i > $i > $i ).
thf(tp_sK4_SY94,type,
sK4_SY94: $i > $i > $i ).
thf(tp_sK5_SY73,type,
sK5_SY73: $i > $i > $i ).
thf(tp_sK6_SY85,type,
sK6_SY85: $i > $i > $i ).
thf(tp_sK7_SY74,type,
sK7_SY74: $i > $i > $i ).
thf(tp_sK8_SY86,type,
sK8_SY86: $i > $i > $i ).
thf(tp_sK9_SY102,type,
sK9_SY102: $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_union,type,
union: $i > $i > $i ).
thf(tp_unordered_pair,type,
unordered_pair: $i > $i > $i ).
thf(2,axiom,
! [R: $i,E: $i,A: $i,X: $i] :
( ( member @ X @ ( equivalence_class @ A @ E @ R ) )
<=> ( ( member @ X @ E )
& ( apply @ R @ A @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence_class) ).
thf(3,axiom,
! [A: $i,R: $i] :
( ( equivalence @ R @ A )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A ) )
=> ( ( apply @ R @ X @ Y )
=> ( apply @ R @ Y @ X ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A )
& ( member @ Z @ A ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalence) ).
thf(4,axiom,
! [A: $i,E: $i] :
( ( partition @ A @ E )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ( subset @ X @ E ) )
& ! [X: $i] :
( ( member @ X @ E )
=> ? [Y: $i] :
( ( member @ Y @ A )
& ( member @ X @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A ) )
=> ( ? [Z: $i] :
( ( member @ Z @ X )
& ( member @ Z @ Y ) )
=> ( X = Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partition) ).
thf(14,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_set) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
thf(17,conjecture,
! [E: $i,R: $i,A: $i] :
( ( equivalence @ R @ E )
=> ( subset @ ( equivalence_class @ A @ E @ R ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII03) ).
thf(18,negated_conjecture,
( ( ! [E: $i,R: $i,A: $i] :
( ( equivalence @ R @ E )
=> ( subset @ ( equivalence_class @ A @ E @ R ) @ E ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[17]) ).
thf(19,plain,
( ( ! [E: $i,R: $i,A: $i] :
( ( equivalence @ R @ E )
=> ( subset @ ( equivalence_class @ A @ E @ R ) @ E ) ) )
= $false ),
inference(unfold_def,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [R: $i,E: $i,A: $i,X: $i] :
( ( member @ X @ ( equivalence_class @ A @ E @ R ) )
<=> ( ( member @ X @ E )
& ( apply @ R @ A @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(21,plain,
( ( ! [A: $i,R: $i] :
( ( equivalence @ R @ A )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A ) )
=> ( ( apply @ R @ X @ Y )
=> ( apply @ R @ Y @ X ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A )
& ( member @ Z @ A ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(22,plain,
( ( ! [A: $i,E: $i] :
( ( partition @ A @ E )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ( subset @ X @ E ) )
& ! [X: $i] :
( ( member @ X @ E )
=> ? [Y: $i] :
( ( member @ Y @ A )
& ( member @ X @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A ) )
=> ( ? [Z: $i] :
( ( member @ Z @ X )
& ( member @ Z @ Y ) )
=> ( X = Y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(23,plain,
( ( ! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(24,plain,
( ( ! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(26,plain,
( ( ! [SY30: $i,SY31: $i] :
( ( equivalence @ SY30 @ sK1_E )
=> ( subset @ ( equivalence_class @ SY31 @ sK1_E @ SY30 ) @ sK1_E ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[19]) ).
thf(27,plain,
( ( ! [SY32: $i] :
( ( equivalence @ sK2_SY30 @ sK1_E )
=> ( subset @ ( equivalence_class @ SY32 @ sK1_E @ sK2_SY30 ) @ sK1_E ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(28,plain,
( ( ( equivalence @ sK2_SY30 @ sK1_E )
=> ( subset @ ( equivalence_class @ sK3_SY32 @ sK1_E @ sK2_SY30 ) @ sK1_E ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(29,plain,
( ( equivalence @ sK2_SY30 @ sK1_E )
= $true ),
inference(standard_cnf,[status(thm)],[28]) ).
thf(30,plain,
( ( subset @ ( equivalence_class @ sK3_SY32 @ sK1_E @ sK2_SY30 ) @ sK1_E )
= $false ),
inference(standard_cnf,[status(thm)],[28]) ).
thf(31,plain,
( ( ~ ( subset @ ( equivalence_class @ sK3_SY32 @ sK1_E @ sK2_SY30 ) @ sK1_E ) )
= $true ),
inference(polarity_switch,[status(thm)],[30]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(33,plain,
( ( ! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(34,plain,
( ( ! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(35,plain,
( ( ! [A: $i,E: $i] :
( ( partition @ A @ E )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ( subset @ X @ E ) )
& ! [X: $i] :
( ( member @ X @ E )
=> ? [Y: $i] :
( ( member @ Y @ A )
& ( member @ X @ Y ) ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A ) )
=> ( ? [Z: $i] :
( ( member @ Z @ X )
& ( member @ Z @ Y ) )
=> ( X = Y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(36,plain,
( ( ! [A: $i,R: $i] :
( ( equivalence @ R @ A )
<=> ( ! [X: $i] :
( ( member @ X @ A )
=> ( apply @ R @ X @ X ) )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A ) )
=> ( ( apply @ R @ X @ Y )
=> ( apply @ R @ Y @ X ) ) )
& ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ A )
& ( member @ Z @ A ) )
=> ( ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) )
=> ( apply @ R @ X @ Z ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(37,plain,
( ( ! [R: $i,E: $i,A: $i,X: $i] :
( ( member @ X @ ( equivalence_class @ A @ E @ R ) )
<=> ( ( member @ X @ E )
& ( apply @ R @ A @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(38,plain,
( ( equivalence @ sK2_SY30 @ sK1_E )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(39,plain,
( ( ~ ( subset @ ( equivalence_class @ sK3_SY32 @ sK1_E @ sK2_SY30 ) @ sK1_E ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(40,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( partition @ SX0 @ SX1 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( subset @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( member @ SX3 @ SX0 )
| ~ ( member @ SX2 @ SX3 ) ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX3 @ SX0 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SX2 )
| ~ ( member @ SX4 @ SX3 ) )
| ( SX2 = SX3 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( subset @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX1 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( member @ SX3 @ SX0 )
| ~ ( member @ SX2 @ SX3 ) ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX3 @ SX0 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SX2 )
| ~ ( member @ SX4 @ SX3 ) )
| ( SX2 = SX3 ) ) )
| ( partition @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(41,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( equivalence @ SX1 @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( apply @ SX1 @ SX2 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX3 @ SX0 ) )
| ~ ( apply @ SX1 @ SX2 @ SX3 )
| ( apply @ SX1 @ SX3 @ SX2 ) ) )
| ~ ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX3 @ SX0 ) )
| ~ ( member @ SX4 @ SX0 ) )
| ~ ~ ( ~ ( apply @ SX1 @ SX2 @ SX3 )
| ~ ( apply @ SX1 @ SX3 @ SX4 ) )
| ( apply @ SX1 @ SX2 @ SX4 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i] :
( ~ ( member @ SX2 @ SX0 )
| ( apply @ SX1 @ SX2 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX3 @ SX0 ) )
| ~ ( apply @ SX1 @ SX2 @ SX3 )
| ( apply @ SX1 @ SX3 @ SX2 ) ) )
| ~ ! [SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SX2 @ SX0 )
| ~ ( member @ SX3 @ SX0 ) )
| ~ ( member @ SX4 @ SX0 ) )
| ~ ~ ( ~ ( apply @ SX1 @ SX2 @ SX3 )
| ~ ( apply @ SX1 @ SX3 @ SX4 ) )
| ( apply @ SX1 @ SX2 @ SX4 ) ) )
| ( equivalence @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(42,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( member @ SX3 @ ( equivalence_class @ SX2 @ SX1 @ SX0 ) )
| ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SX3 @ SX1 )
| ~ ( apply @ SX0 @ SX2 @ SX3 ) )
| ( member @ SX3 @ ( equivalence_class @ SX2 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(43,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)],[33]) ).
thf(44,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)],[34]) ).
thf(45,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)],[32]) ).
thf(46,plain,
( ( subset @ ( equivalence_class @ sK3_SY32 @ sK1_E @ sK2_SY30 ) @ sK1_E )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV1: $i] :
( ( ! [SY33: $i] :
~ ( ~ ( ~ ( partition @ SV1 @ SY33 )
| ~ ( ~ ~ ( ~ ! [SY34: $i] :
( ~ ( member @ SY34 @ SV1 )
| ( subset @ SY34 @ SY33 ) )
| ~ ! [SY35: $i] :
( ~ ( member @ SY35 @ SY33 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY35 @ SY36 ) ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY40: $i] :
( ~ ( member @ SY40 @ SV1 )
| ( subset @ SY40 @ SY33 ) )
| ~ ! [SY41: $i] :
( ~ ( member @ SY41 @ SY33 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY41 @ SY42 ) ) ) )
| ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
| ( partition @ SV1 @ SY33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV2: $i] :
( ( ! [SY46: $i] :
~ ( ~ ( ~ ( equivalence @ SY46 @ SV2 )
| ~ ( ~ ~ ( ~ ! [SY47: $i] :
( ~ ( member @ SY47 @ SV2 )
| ( apply @ SY46 @ SY47 @ SY47 ) )
| ~ ! [SY48: $i,SY49: $i] :
( ~ ~ ( ~ ( member @ SY48 @ SV2 )
| ~ ( member @ SY49 @ SV2 ) )
| ~ ( apply @ SY46 @ SY48 @ SY49 )
| ( apply @ SY46 @ SY49 @ SY48 ) ) )
| ~ ! [SY50: $i,SY51: $i,SY52: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY50 @ SV2 )
| ~ ( member @ SY51 @ SV2 ) )
| ~ ( member @ SY52 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SY46 @ SY50 @ SY51 )
| ~ ( apply @ SY46 @ SY51 @ SY52 ) )
| ( apply @ SY46 @ SY50 @ SY52 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY53: $i] :
( ~ ( member @ SY53 @ SV2 )
| ( apply @ SY46 @ SY53 @ SY53 ) )
| ~ ! [SY54: $i,SY55: $i] :
( ~ ~ ( ~ ( member @ SY54 @ SV2 )
| ~ ( member @ SY55 @ SV2 ) )
| ~ ( apply @ SY46 @ SY54 @ SY55 )
| ( apply @ SY46 @ SY55 @ SY54 ) ) )
| ~ ! [SY56: $i,SY57: $i,SY58: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY56 @ SV2 )
| ~ ( member @ SY57 @ SV2 ) )
| ~ ( member @ SY58 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SY46 @ SY56 @ SY57 )
| ~ ( apply @ SY46 @ SY57 @ SY58 ) )
| ( apply @ SY46 @ SY56 @ SY58 ) ) )
| ( equivalence @ SY46 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV3: $i] :
( ( ! [SY59: $i,SY60: $i,SY61: $i] :
~ ( ~ ( ~ ( member @ SY61 @ ( equivalence_class @ SY60 @ SY59 @ SV3 ) )
| ~ ( ~ ( member @ SY61 @ SY59 )
| ~ ( apply @ SV3 @ SY60 @ SY61 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY61 @ SY59 )
| ~ ( apply @ SV3 @ SY60 @ SY61 ) )
| ( member @ SY61 @ ( equivalence_class @ SY60 @ SY59 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV4: $i] :
( ( ! [SY62: $i] :
~ ( ~ ( ~ ( equal_set @ SV4 @ SY62 )
| ~ ( ~ ( subset @ SV4 @ SY62 )
| ~ ( subset @ SY62 @ SV4 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ SV4 @ SY62 )
| ~ ( subset @ SY62 @ SV4 ) )
| ( equal_set @ SV4 @ SY62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV5: $i] :
( ( ! [SY63: $i] :
~ ( ~ ( ~ ( member @ SV5 @ ( power_set @ SY63 ) )
| ( subset @ SV5 @ SY63 ) )
| ~ ( ~ ( subset @ SV5 @ SY63 )
| ( member @ SV5 @ ( power_set @ SY63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV6: $i] :
( ( ! [SY64: $i] :
~ ( ~ ( ~ ( subset @ SV6 @ SY64 )
| ! [SY65: $i] :
( ~ ( member @ SY65 @ SV6 )
| ( member @ SY65 @ SY64 ) ) )
| ~ ( ~ ! [SY66: $i] :
( ~ ( member @ SY66 @ SV6 )
| ( member @ SY66 @ SY64 ) )
| ( subset @ SV6 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV7: $i,SV1: $i] :
( ( ~ ( ~ ( ~ ( partition @ SV1 @ SV7 )
| ~ ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
| ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
| ( partition @ SV1 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV2: $i,SV8: $i] :
( ( ~ ( ~ ( ~ ( equivalence @ SV8 @ SV2 )
| ~ ( ~ ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
| ~ ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
| ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
| ( equivalence @ SV8 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV3: $i,SV9: $i] :
( ( ! [SY91: $i,SY92: $i] :
~ ( ~ ( ~ ( member @ SY92 @ ( equivalence_class @ SY91 @ SV9 @ SV3 ) )
| ~ ( ~ ( member @ SY92 @ SV9 )
| ~ ( apply @ SV3 @ SY91 @ SY92 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY92 @ SV9 )
| ~ ( apply @ SV3 @ SY91 @ SY92 ) )
| ( member @ SY92 @ ( equivalence_class @ SY91 @ SV9 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV10: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( equal_set @ SV4 @ SV10 )
| ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) )
| ( equal_set @ SV4 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( ~ ( ~ ( member @ SV5 @ ( power_set @ SV11 ) )
| ( subset @ SV5 @ SV11 ) )
| ~ ( ~ ( subset @ SV5 @ SV11 )
| ( member @ SV5 @ ( power_set @ SV11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( ~ ( ~ ( subset @ SV6 @ SV12 )
| ! [SY93: $i] :
( ~ ( member @ SY93 @ SV6 )
| ( member @ SY93 @ SV12 ) ) )
| ~ ( ~ ! [SY94: $i] :
( ~ ( member @ SY94 @ SV6 )
| ( member @ SY94 @ SV12 ) )
| ( subset @ SV6 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV7: $i,SV1: $i] :
( ( ~ ( ~ ( partition @ SV1 @ SV7 )
| ~ ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
| ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
| ( partition @ SV1 @ SV7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV2: $i,SV8: $i] :
( ( ~ ( ~ ( equivalence @ SV8 @ SV2 )
| ~ ( ~ ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
| ~ ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
| ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
| ( equivalence @ SV8 @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV3: $i,SV9: $i,SV13: $i] :
( ( ! [SY95: $i] :
~ ( ~ ( ~ ( member @ SY95 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
| ~ ( ~ ( member @ SY95 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SY95 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SY95 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SY95 ) )
| ( member @ SY95 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV10: $i,SV4: $i] :
( ( ~ ( ~ ( equal_set @ SV4 @ SV10 )
| ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) ) )
| ~ ( ~ ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) )
| ( equal_set @ SV4 @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(63,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( ~ ( member @ SV5 @ ( power_set @ SV11 ) )
| ( subset @ SV5 @ SV11 ) )
| ~ ( ~ ( subset @ SV5 @ SV11 )
| ( member @ SV5 @ ( power_set @ SV11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( ~ ( subset @ SV6 @ SV12 )
| ! [SY93: $i] :
( ~ ( member @ SY93 @ SV6 )
| ( member @ SY93 @ SV12 ) ) )
| ~ ( ~ ! [SY94: $i] :
( ~ ( member @ SY94 @ SV6 )
| ( member @ SY94 @ SV12 ) )
| ( subset @ SV6 @ SV12 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV7: $i,SV1: $i] :
( ( ~ ( ~ ( partition @ SV1 @ SV7 )
| ~ ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(66,plain,
! [SV7: $i,SV1: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
| ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
| ( partition @ SV1 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV2: $i,SV8: $i] :
( ( ~ ( ~ ( equivalence @ SV8 @ SV2 )
| ~ ( ~ ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
| ~ ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(68,plain,
! [SV8: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
| ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
| ( equivalence @ SV8 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV3: $i,SV9: $i,SV13: $i,SV14: $i] :
( ( ~ ( ~ ( ~ ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
| ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) )
| ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(70,plain,
! [SV10: $i,SV4: $i] :
( ( ~ ( ~ ( equal_set @ SV4 @ SV10 )
| ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(71,plain,
! [SV10: $i,SV4: $i] :
( ( ~ ( ~ ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) )
| ( equal_set @ SV4 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(72,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( ~ ( member @ SV5 @ ( power_set @ SV11 ) )
| ( subset @ SV5 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( ~ ( subset @ SV5 @ SV11 )
| ( member @ SV5 @ ( power_set @ SV11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(74,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( ~ ( subset @ SV6 @ SV12 )
| ! [SY93: $i] :
( ~ ( member @ SY93 @ SV6 )
| ( member @ SY93 @ SV12 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(75,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( ~ ! [SY94: $i] :
( ~ ( member @ SY94 @ SV6 )
| ( member @ SY94 @ SV12 ) )
| ( subset @ SV6 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(76,plain,
! [SV7: $i,SV1: $i] :
( ( ~ ( partition @ SV1 @ SV7 )
| ~ ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(77,plain,
! [SV7: $i,SV1: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
| ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
| ( partition @ SV1 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(78,plain,
! [SV2: $i,SV8: $i] :
( ( ~ ( equivalence @ SV8 @ SV2 )
| ~ ( ~ ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
| ~ ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(79,plain,
! [SV8: $i,SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
| ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
| ( equivalence @ SV8 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(80,plain,
! [SV3: $i,SV9: $i,SV13: $i,SV14: $i] :
( ( ~ ( ~ ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
| ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) ) )
| ~ ( ~ ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) )
| ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(81,plain,
! [SV10: $i,SV4: $i] :
( ( ~ ( equal_set @ SV4 @ SV10 )
| ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(82,plain,
! [SV10: $i,SV4: $i] :
( ( ~ ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) )
| ( equal_set @ SV4 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(83,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( member @ SV5 @ ( power_set @ SV11 ) )
| ( subset @ SV5 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(84,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( subset @ SV5 @ SV11 )
| ( member @ SV5 @ ( power_set @ SV11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(85,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( subset @ SV6 @ SV12 )
| ! [SY93: $i] :
( ~ ( member @ SY93 @ SV6 )
| ( member @ SY93 @ SV12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(86,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ! [SY94: $i] :
( ~ ( member @ SY94 @ SV6 )
| ( member @ SY94 @ SV12 ) )
| ( subset @ SV6 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(87,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( partition @ SV1 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(88,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
| ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(89,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( equivalence @ SV8 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
| ~ ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(90,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
| ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(91,plain,
! [SV3: $i,SV9: $i,SV13: $i,SV14: $i] :
( ( ~ ( ~ ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
| ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(92,plain,
! [SV13: $i,SV3: $i,SV9: $i,SV14: $i] :
( ( ~ ( ~ ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) )
| ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(93,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( equal_set @ SV4 @ SV10 ) )
= $true )
| ( ( ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(94,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) ) )
= $true )
| ( ( equal_set @ SV4 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( member @ SV5 @ ( power_set @ SV11 ) ) )
= $true )
| ( ( subset @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( subset @ SV5 @ SV11 ) )
= $true )
| ( ( member @ SV5 @ ( power_set @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( subset @ SV6 @ SV12 ) )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( member @ SY93 @ SV6 )
| ( member @ SY93 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ! [SY94: $i] :
( ~ ( member @ SY94 @ SV6 )
| ( member @ SY94 @ SV12 ) ) )
= $true )
| ( ( subset @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV7: $i,SV1: $i] :
( ( ( partition @ SV1 @ SV7 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
| ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) ) )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV2: $i,SV8: $i] :
( ( ( equivalence @ SV8 @ SV2 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
| ~ ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(102,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
| ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(103,plain,
! [SV3: $i,SV9: $i,SV13: $i,SV14: $i] :
( ( ~ ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
| ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(104,plain,
! [SV13: $i,SV3: $i,SV9: $i,SV14: $i] :
( ( ~ ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) )
| ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(105,plain,
! [SV10: $i,SV4: $i] :
( ( ( equal_set @ SV4 @ SV10 )
= $false )
| ( ( ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) ) )
= $false )
| ( ( equal_set @ SV4 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV11: $i,SV5: $i] :
( ( ( member @ SV5 @ ( power_set @ SV11 ) )
= $false )
| ( ( subset @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV11: $i,SV5: $i] :
( ( ( subset @ SV5 @ SV11 )
= $false )
| ( ( member @ SV5 @ ( power_set @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV12: $i,SV6: $i] :
( ( ( subset @ SV6 @ SV12 )
= $false )
| ( ( ! [SY93: $i] :
( ~ ( member @ SY93 @ SV6 )
| ( member @ SY93 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV12: $i,SV6: $i] :
( ( ( ! [SY94: $i] :
( ~ ( member @ SY94 @ SV6 )
| ( member @ SY94 @ SV12 ) ) )
= $false )
| ( ( subset @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
| ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
| ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(113,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
| ~ ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
| ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(115,plain,
! [SV3: $i,SV9: $i,SV13: $i,SV14: $i] :
( ( ( ~ ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) ) )
= $true )
| ( ( ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV13: $i,SV3: $i,SV9: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) ) )
= $true )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(117,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) )
= $false )
| ( ( equal_set @ SV4 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(118,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV10 )
| ~ ( subset @ SV10 @ SV4 ) )
= $true )
| ( ( equal_set @ SV4 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(119,plain,
! [SV12: $i,SV6: $i,SV15: $i] :
( ( ( ~ ( member @ SV15 @ SV6 )
| ( member @ SV15 @ SV12 ) )
= $true )
| ( ( subset @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(120,plain,
! [SV6: $i,SV12: $i] :
( ( ( ~ ( member @ ( sK4_SY94 @ SV12 @ SV6 ) @ SV6 )
| ( member @ ( sK4_SY94 @ SV12 @ SV6 ) @ SV12 ) )
= $false )
| ( ( subset @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[110]) ).
thf(121,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) ) )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(122,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(123,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(124,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(125,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(126,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) ) )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(127,plain,
! [SV3: $i,SV9: $i,SV13: $i,SV14: $i] :
( ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $false )
| ( ( ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(128,plain,
! [SV13: $i,SV3: $i,SV9: $i,SV14: $i] :
( ( ( ~ ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) ) )
= $false )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(129,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV10 ) )
= $false )
| ( ( equal_set @ SV4 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(130,plain,
! [SV4: $i,SV10: $i] :
( ( ( ~ ( subset @ SV10 @ SV4 ) )
= $false )
| ( ( equal_set @ SV4 @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(131,plain,
! [SV10: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV10 ) )
= $true )
| ( ( ~ ( subset @ SV10 @ SV4 ) )
= $true )
| ( ( equal_set @ SV4 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(132,plain,
! [SV12: $i,SV6: $i,SV15: $i] :
( ( ( ~ ( member @ SV15 @ SV6 ) )
= $true )
| ( ( member @ SV15 @ SV12 )
= $true )
| ( ( subset @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(133,plain,
! [SV6: $i,SV12: $i] :
( ( ( ~ ( member @ ( sK4_SY94 @ SV12 @ SV6 ) @ SV6 ) )
= $false )
| ( ( subset @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(134,plain,
! [SV6: $i,SV12: $i] :
( ( ( member @ ( sK4_SY94 @ SV12 @ SV6 ) @ SV12 )
= $false )
| ( ( subset @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(135,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(136,plain,
! [SV7: $i,SV1: $i] :
( ( ( ! [SY37: $i,SY38: $i] :
( ~ ~ ( ~ ( member @ SY37 @ SV1 )
| ~ ( member @ SY38 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY37 )
| ~ ( member @ SX4 @ SY38 ) )
| ( SY37 = SY38 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(137,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) ) )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(138,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(139,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY82: $i,SY83: $i,SY84: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY82 @ SV2 )
| ~ ( member @ SY83 @ SV2 ) )
| ~ ( member @ SY84 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY82 @ SY83 )
| ~ ( apply @ SV8 @ SY83 @ SY84 ) )
| ( apply @ SV8 @ SY82 @ SY84 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(140,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(141,plain,
! [SV13: $i,SV3: $i,SV9: $i,SV14: $i] :
( ( ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) )
= $false )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(142,plain,
! [SV13: $i,SV3: $i,SV9: $i,SV14: $i] :
( ( ( ~ ( member @ SV14 @ SV9 )
| ~ ( apply @ SV3 @ SV13 @ SV14 ) )
= $true )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(143,plain,
! [SV10: $i,SV4: $i] :
( ( ( subset @ SV4 @ SV10 )
= $true )
| ( ( equal_set @ SV4 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(144,plain,
! [SV4: $i,SV10: $i] :
( ( ( subset @ SV10 @ SV4 )
= $true )
| ( ( equal_set @ SV4 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(145,plain,
! [SV10: $i,SV4: $i] :
( ( ( subset @ SV4 @ SV10 )
= $false )
| ( ( ~ ( subset @ SV10 @ SV4 ) )
= $true )
| ( ( equal_set @ SV4 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(146,plain,
! [SV12: $i,SV6: $i,SV15: $i] :
( ( ( member @ SV15 @ SV6 )
= $false )
| ( ( member @ SV15 @ SV12 )
= $true )
| ( ( subset @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(147,plain,
! [SV6: $i,SV12: $i] :
( ( ( member @ ( sK4_SY94 @ SV12 @ SV6 ) @ SV6 )
= $true )
| ( ( subset @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(148,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) )
| ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(149,plain,
! [SV7: $i,SV1: $i,SV16: $i] :
( ( ( ! [SY96: $i] :
( ~ ~ ( ~ ( member @ SV16 @ SV1 )
| ~ ( member @ SY96 @ SV1 ) )
| ~ ~ ! [SY97: $i] :
~ ~ ( ~ ( member @ SY97 @ SV16 )
| ~ ( member @ SY97 @ SY96 ) )
| ( SV16 = SY96 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(150,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) )
| ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(151,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) )
| ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(152,plain,
! [SV8: $i,SV2: $i,SV17: $i] :
( ( ( ! [SY98: $i,SY99: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SY98 @ SV2 ) )
| ~ ( member @ SY99 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SY98 )
| ~ ( apply @ SV8 @ SY98 @ SY99 ) )
| ( apply @ SV8 @ SV17 @ SY99 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(153,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) )
| ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(154,plain,
! [SV3: $i,SV13: $i,SV9: $i,SV14: $i] :
( ( ( ~ ( member @ SV14 @ SV9 ) )
= $false )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(155,plain,
! [SV9: $i,SV14: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( apply @ SV3 @ SV13 @ SV14 ) )
= $false )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(156,plain,
! [SV13: $i,SV3: $i,SV9: $i,SV14: $i] :
( ( ( ~ ( member @ SV14 @ SV9 ) )
= $true )
| ( ( ~ ( apply @ SV3 @ SV13 @ SV14 ) )
= $true )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(157,plain,
! [SV4: $i,SV10: $i] :
( ( ( subset @ SV10 @ SV4 )
= $false )
| ( ( subset @ SV4 @ SV10 )
= $false )
| ( ( equal_set @ SV4 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(158,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) ) )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(159,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(160,plain,
! [SV7: $i,SV18: $i,SV1: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( member @ SV16 @ SV1 )
| ~ ( member @ SV18 @ SV1 ) )
| ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) )
| ( SV16 = SV18 ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(161,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) ) )
= $true )
| ( ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(162,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(163,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(164,plain,
! [SV8: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ! [SY101: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SV19 @ SV2 ) )
| ~ ( member @ SY101 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SY101 ) )
| ( apply @ SV8 @ SV17 @ SY101 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(165,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) ) )
= $true )
| ( ( ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(166,plain,
! [SV3: $i,SV13: $i,SV9: $i,SV14: $i] :
( ( ( member @ SV14 @ SV9 )
= $true )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(167,plain,
! [SV9: $i,SV14: $i,SV13: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV13 @ SV14 )
= $true )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(168,plain,
! [SV13: $i,SV3: $i,SV9: $i,SV14: $i] :
( ( ( member @ SV14 @ SV9 )
= $false )
| ( ( ~ ( apply @ SV3 @ SV13 @ SV14 ) )
= $true )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(169,plain,
! [SV7: $i,SV1: $i] :
( ( ( ! [SY67: $i] :
( ~ ( member @ SY67 @ SV1 )
| ( subset @ SY67 @ SV7 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(170,plain,
! [SV1: $i,SV7: $i] :
( ( ( ! [SY68: $i] :
( ~ ( member @ SY68 @ SV7 )
| ~ ! [SY36: $i] :
~ ~ ( ~ ( member @ SY36 @ SV1 )
| ~ ( member @ SY68 @ SY36 ) ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(171,plain,
! [SV7: $i,SV18: $i,SV1: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( member @ SV16 @ SV1 )
| ~ ( member @ SV18 @ SV1 ) ) )
= $true )
| ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) )
| ( SV16 = SV18 ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(172,plain,
! [SV7: $i,SV1: $i] :
( ( ( ! [SY73: $i] :
( ~ ( member @ SY73 @ SV1 )
| ( subset @ SY73 @ SV7 ) ) )
= $false )
| ( ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY79: $i] :
( ~ ( member @ SY79 @ SV2 )
| ( apply @ SV8 @ SY79 @ SY79 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(174,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY80: $i,SY81: $i] :
( ~ ~ ( ~ ( member @ SY80 @ SV2 )
| ~ ( member @ SY81 @ SV2 ) )
| ~ ( apply @ SV8 @ SY80 @ SY81 )
| ( apply @ SV8 @ SY81 @ SY80 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(175,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SV19 @ SV2 ) )
| ~ ( member @ SV20 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(176,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY85: $i] :
( ~ ( member @ SY85 @ SV2 )
| ( apply @ SV8 @ SY85 @ SY85 ) ) )
= $false )
| ( ( ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(177,plain,
! [SV9: $i,SV14: $i,SV13: $i,SV3: $i] :
( ( ( apply @ SV3 @ SV13 @ SV14 )
= $false )
| ( ( member @ SV14 @ SV9 )
= $false )
| ( ( member @ SV14 @ ( equivalence_class @ SV13 @ SV9 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(178,plain,
! [SV7: $i,SV1: $i,SV21: $i] :
( ( ( ~ ( member @ SV21 @ SV1 )
| ( subset @ SV21 @ SV7 ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(179,plain,
! [SV1: $i,SV7: $i,SV22: $i] :
( ( ( ~ ( member @ SV22 @ SV7 )
| ~ ! [SY102: $i] :
~ ~ ( ~ ( member @ SY102 @ SV1 )
| ~ ( member @ SV22 @ SY102 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(180,plain,
! [SV7: $i,SV18: $i,SV1: $i,SV16: $i] :
( ( ( ~ ( ~ ( member @ SV16 @ SV1 )
| ~ ( member @ SV18 @ SV1 ) ) )
= $false )
| ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) )
| ( SV16 = SV18 ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(181,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
| ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 ) )
= $false )
| ( ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[172]) ).
thf(182,plain,
! [SV8: $i,SV2: $i,SV23: $i] :
( ( ( ~ ( member @ SV23 @ SV2 )
| ( apply @ SV8 @ SV23 @ SV23 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(183,plain,
! [SV8: $i,SV2: $i,SV24: $i] :
( ( ( ! [SY103: $i] :
( ~ ~ ( ~ ( member @ SV24 @ SV2 )
| ~ ( member @ SY103 @ SV2 ) )
| ~ ( apply @ SV8 @ SV24 @ SY103 )
| ( apply @ SV8 @ SY103 @ SV24 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(184,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SV19 @ SV2 ) )
| ~ ( member @ SV20 @ SV2 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(185,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
| ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) ) )
= $false )
| ( ( ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[176]) ).
thf(186,plain,
! [SV7: $i,SV1: $i,SV21: $i] :
( ( ( ~ ( member @ SV21 @ SV1 ) )
= $true )
| ( ( subset @ SV21 @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(187,plain,
! [SV1: $i,SV7: $i,SV22: $i] :
( ( ( ~ ( member @ SV22 @ SV7 ) )
= $true )
| ( ( ~ ! [SY102: $i] :
~ ~ ( ~ ( member @ SY102 @ SV1 )
| ~ ( member @ SV22 @ SY102 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(188,plain,
! [SV7: $i,SV18: $i,SV1: $i,SV16: $i] :
( ( ( ~ ( member @ SV16 @ SV1 )
| ~ ( member @ SV18 @ SV1 ) )
= $true )
| ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) )
| ( SV16 = SV18 ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(189,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(190,plain,
! [SV1: $i,SV7: $i] :
( ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(191,plain,
! [SV8: $i,SV2: $i,SV23: $i] :
( ( ( ~ ( member @ SV23 @ SV2 ) )
= $true )
| ( ( apply @ SV8 @ SV23 @ SV23 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(192,plain,
! [SV8: $i,SV25: $i,SV2: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( member @ SV24 @ SV2 )
| ~ ( member @ SV25 @ SV2 ) )
| ~ ( apply @ SV8 @ SV24 @ SV25 )
| ( apply @ SV8 @ SV25 @ SV24 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(193,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SV19 @ SV2 ) )
| ~ ( member @ SV20 @ SV2 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(194,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(195,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(196,plain,
! [SV7: $i,SV1: $i,SV21: $i] :
( ( ( member @ SV21 @ SV1 )
= $false )
| ( ( subset @ SV21 @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV1: $i,SV7: $i,SV22: $i] :
( ( ( member @ SV22 @ SV7 )
= $false )
| ( ( ~ ! [SY102: $i] :
~ ~ ( ~ ( member @ SY102 @ SV1 )
| ~ ( member @ SV22 @ SY102 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV7: $i,SV18: $i,SV1: $i,SV16: $i] :
( ( ( ~ ( member @ SV16 @ SV1 ) )
= $true )
| ( ( ~ ( member @ SV18 @ SV1 ) )
= $true )
| ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) )
| ( SV16 = SV18 ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(199,plain,
! [SV1: $i,SV7: $i] :
( ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(200,plain,
! [SV1: $i,SV7: $i] :
( ( ( ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(201,plain,
! [SV8: $i,SV2: $i,SV23: $i] :
( ( ( member @ SV23 @ SV2 )
= $false )
| ( ( apply @ SV8 @ SV23 @ SV23 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(202,plain,
! [SV8: $i,SV25: $i,SV2: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( member @ SV24 @ SV2 )
| ~ ( member @ SV25 @ SV2 ) ) )
= $true )
| ( ( ~ ( apply @ SV8 @ SV24 @ SV25 )
| ( apply @ SV8 @ SV25 @ SV24 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(203,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SV19 @ SV2 ) )
| ~ ( member @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(204,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(205,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(206,plain,
! [SV7: $i,SV22: $i,SV1: $i] :
( ( ( ! [SY102: $i] :
~ ~ ( ~ ( member @ SY102 @ SV1 )
| ~ ( member @ SV22 @ SY102 ) ) )
= $false )
| ( ( member @ SV22 @ SV7 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(207,plain,
! [SV7: $i,SV18: $i,SV1: $i,SV16: $i] :
( ( ( member @ SV16 @ SV1 )
= $false )
| ( ( ~ ( member @ SV18 @ SV1 ) )
= $true )
| ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) )
| ( SV16 = SV18 ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(208,plain,
! [SV1: $i,SV7: $i] :
( ( ( ! [SY74: $i] :
( ~ ( member @ SY74 @ SV7 )
| ~ ! [SY42: $i] :
~ ~ ( ~ ( member @ SY42 @ SV1 )
| ~ ( member @ SY74 @ SY42 ) ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(209,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
| ~ ! [SY104: $i] :
~ ~ ( ~ ( member @ SY104 @ SV1 )
| ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SY104 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(210,plain,
! [SV8: $i,SV25: $i,SV2: $i,SV24: $i] :
( ( ( ~ ( ~ ( member @ SV24 @ SV2 )
| ~ ( member @ SV25 @ SV2 ) ) )
= $false )
| ( ( ~ ( apply @ SV8 @ SV24 @ SV25 )
| ( apply @ SV8 @ SV25 @ SV24 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(211,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SV19 @ SV2 ) ) )
= $true )
| ( ( ~ ( member @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(212,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY86: $i,SY87: $i] :
( ~ ~ ( ~ ( member @ SY86 @ SV2 )
| ~ ( member @ SY87 @ SV2 ) )
| ~ ( apply @ SV8 @ SY86 @ SY87 )
| ( apply @ SV8 @ SY87 @ SY86 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(213,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY105: $i] :
( ~ ~ ( ~ ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY105 @ SV2 ) )
| ~ ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ SY105 )
| ( apply @ SV8 @ SY105 @ ( sK8_SY86 @ SV8 @ SV2 ) ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(214,plain,
! [SV1: $i,SV22: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) @ SV1 )
| ~ ( member @ SV22 @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) ) ) )
= $false )
| ( ( member @ SV22 @ SV7 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[206]) ).
thf(215,plain,
! [SV7: $i,SV16: $i,SV1: $i,SV18: $i] :
( ( ( member @ SV18 @ SV1 )
= $false )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) )
| ( SV16 = SV18 ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(216,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
| ~ ! [SY106: $i] :
~ ~ ( ~ ( member @ SY106 @ SV1 )
| ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SY106 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(217,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(218,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ! [SY104: $i] :
~ ~ ( ~ ( member @ SY104 @ SV1 )
| ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SY104 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(219,plain,
! [SV8: $i,SV25: $i,SV2: $i,SV24: $i] :
( ( ( ~ ( member @ SV24 @ SV2 )
| ~ ( member @ SV25 @ SV2 ) )
= $true )
| ( ( ~ ( apply @ SV8 @ SV24 @ SV25 )
| ( apply @ SV8 @ SV25 @ SV24 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(220,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ~ ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SV19 @ SV2 ) ) )
= $false )
| ( ( ~ ( member @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(221,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY107: $i] :
( ~ ~ ( ~ ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY107 @ SV2 ) )
| ~ ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ SY107 )
| ( apply @ SV8 @ SY107 @ ( sK11_SY86 @ SV8 @ SV2 ) ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(222,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
| ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(223,plain,
! [SV1: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( ~ ( member @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) @ SV1 )
| ~ ( member @ SV22 @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) ) ) )
= $true )
| ( ( member @ SV22 @ SV7 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(224,plain,
! [SV7: $i,SV1: $i,SV18: $i,SV16: $i] :
( ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) ) )
= $true )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(226,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ! [SY106: $i] :
~ ~ ( ~ ( member @ SY106 @ SV1 )
| ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SY106 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(227,plain,
! [SV7: $i,SV1: $i] :
( ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(228,plain,
! [SV7: $i,SV1: $i] :
( ( ( ! [SY104: $i] :
~ ~ ( ~ ( member @ SY104 @ SV1 )
| ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SY104 ) ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(229,plain,
! [SV8: $i,SV25: $i,SV2: $i,SV24: $i] :
( ( ( ~ ( member @ SV24 @ SV2 ) )
= $true )
| ( ( ~ ( member @ SV25 @ SV2 ) )
= $true )
| ( ( ~ ( apply @ SV8 @ SV24 @ SV25 )
| ( apply @ SV8 @ SV25 @ SV24 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(230,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ~ ( member @ SV17 @ SV2 )
| ~ ( member @ SV19 @ SV2 ) )
= $true )
| ( ( ~ ( member @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(231,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
| ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[221]) ).
thf(232,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(233,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
| ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(234,plain,
! [SV1: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) @ SV1 )
| ~ ( member @ SV22 @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) ) )
= $false )
| ( ( member @ SV22 @ SV7 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(235,plain,
! [SV7: $i,SV1: $i,SV18: $i,SV16: $i] :
( ( ( ~ ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) ) )
= $false )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(236,plain,
! [SV7: $i,SV1: $i] :
( ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(237,plain,
! [SV7: $i,SV1: $i] :
( ( ( ! [SY106: $i] :
~ ~ ( ~ ( member @ SY106 @ SV1 )
| ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SY106 ) ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(238,plain,
! [SV7: $i,SV1: $i] :
( ( ( ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(239,plain,
! [SV7: $i,SV1: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( member @ SV26 @ SV1 )
| ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 ) ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(240,plain,
! [SV8: $i,SV25: $i,SV2: $i,SV24: $i] :
( ( ( member @ SV24 @ SV2 )
= $false )
| ( ( ~ ( member @ SV25 @ SV2 ) )
= $true )
| ( ( ~ ( apply @ SV8 @ SV24 @ SV25 )
| ( apply @ SV8 @ SV25 @ SV24 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(241,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( ~ ( member @ SV17 @ SV2 ) )
= $true )
| ( ( ~ ( member @ SV19 @ SV2 ) )
= $true )
| ( ( ~ ( member @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(242,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(243,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
| ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(244,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(245,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(246,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(247,plain,
! [SV1: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) @ SV1 ) )
= $false )
| ( ( member @ SV22 @ SV7 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(248,plain,
! [SV1: $i,SV7: $i,SV22: $i] :
( ( ( ~ ( member @ SV22 @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) ) )
= $false )
| ( ( member @ SV22 @ SV7 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(249,plain,
! [SV7: $i,SV1: $i,SV18: $i,SV16: $i] :
( ( ( ! [SY100: $i] :
~ ~ ( ~ ( member @ SY100 @ SV16 )
| ~ ( member @ SY100 @ SV18 ) ) )
= $true )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(250,plain,
! [SV7: $i,SV1: $i] :
( ( ( ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(251,plain,
! [SV7: $i,SV1: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( member @ SV27 @ SV1 )
| ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 ) ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(252,plain,
! [SV1: $i,SV7: $i] :
( ( ( ! [SY108: $i] :
( ~ ~ ( ~ ( member @ ( sK14_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ SY108 @ SV1 ) )
| ~ ~ ! [SY109: $i] :
~ ~ ( ~ ( member @ SY109 @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY109 @ SY108 ) )
| ( ( sK14_SY43 @ SV7 @ SV1 )
= SY108 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[238]) ).
thf(253,plain,
! [SV7: $i,SV1: $i,SV26: $i] :
( ( ( ~ ( ~ ( member @ SV26 @ SV1 )
| ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(254,plain,
! [SV8: $i,SV24: $i,SV2: $i,SV25: $i] :
( ( ( member @ SV25 @ SV2 )
= $false )
| ( ( member @ SV24 @ SV2 )
= $false )
| ( ( ~ ( apply @ SV8 @ SV24 @ SV25 )
| ( apply @ SV8 @ SV25 @ SV24 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(255,plain,
! [SV8: $i,SV20: $i,SV19: $i,SV2: $i,SV17: $i] :
( ( ( member @ SV17 @ SV2 )
= $false )
| ( ( ~ ( member @ SV19 @ SV2 ) )
= $true )
| ( ( ~ ( member @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(256,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(257,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(258,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(259,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(260,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(261,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(262,plain,
! [SV1: $i,SV22: $i,SV7: $i] :
( ( ( member @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV22 @ SV7 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(263,plain,
! [SV1: $i,SV7: $i,SV22: $i] :
( ( ( member @ SV22 @ ( sK9_SY102 @ SV7 @ SV22 @ SV1 ) )
= $true )
| ( ( member @ SV22 @ SV7 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(264,plain,
! [SV7: $i,SV1: $i,SV18: $i,SV16: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( member @ SV28 @ SV16 )
| ~ ( member @ SV28 @ SV18 ) ) )
= $true )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(265,plain,
! [SV1: $i,SV7: $i] :
( ( ( ! [SY110: $i] :
( ~ ~ ( ~ ( member @ ( sK15_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ SY110 @ SV1 ) )
| ~ ~ ! [SY111: $i] :
~ ~ ( ~ ( member @ SY111 @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY111 @ SY110 ) )
| ( ( sK15_SY43 @ SV7 @ SV1 )
= SY110 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[250]) ).
thf(266,plain,
! [SV7: $i,SV1: $i,SV27: $i] :
( ( ( ~ ( ~ ( member @ SV27 @ SV1 )
| ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(267,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK14_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK16_SY108 @ SV1 @ SV7 ) @ SV1 ) )
| ~ ~ ! [SY112: $i] :
~ ~ ( ~ ( member @ SY112 @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY112 @ ( sK16_SY108 @ SV1 @ SV7 ) ) )
| ( ( sK14_SY43 @ SV7 @ SV1 )
= ( sK16_SY108 @ SV1 @ SV7 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[252]) ).
thf(268,plain,
! [SV7: $i,SV1: $i,SV26: $i] :
( ( ( ~ ( member @ SV26 @ SV1 )
| ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(269,plain,
! [SV2: $i,SV25: $i,SV24: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ SV24 @ SV25 ) )
= $true )
| ( ( apply @ SV8 @ SV25 @ SV24 )
= $true )
| ( ( member @ SV24 @ SV2 )
= $false )
| ( ( member @ SV25 @ SV2 )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(270,plain,
! [SV8: $i,SV20: $i,SV17: $i,SV2: $i,SV19: $i] :
( ( ( member @ SV19 @ SV2 )
= $false )
| ( ( member @ SV17 @ SV2 )
= $false )
| ( ( ~ ( member @ SV20 @ SV2 ) )
= $true )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(271,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(272,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(273,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(274,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(275,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(276,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(277,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY113: $i,SY114: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY113 @ SV2 ) )
| ~ ( member @ SY114 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ SY113 )
| ~ ( apply @ SV8 @ SY113 @ SY114 ) )
| ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ SY114 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[261]) ).
thf(278,plain,
! [SV7: $i,SV1: $i,SV18: $i,SV16: $i,SV28: $i] :
( ( ( ~ ( ~ ( member @ SV28 @ SV16 )
| ~ ( member @ SV28 @ SV18 ) ) )
= $false )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(279,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK15_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK18_SY110 @ SV1 @ SV7 ) @ SV1 ) )
| ~ ~ ! [SY115: $i] :
~ ~ ( ~ ( member @ SY115 @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY115 @ ( sK18_SY110 @ SV1 @ SV7 ) ) )
| ( ( sK15_SY43 @ SV7 @ SV1 )
= ( sK18_SY110 @ SV1 @ SV7 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[265]) ).
thf(280,plain,
! [SV7: $i,SV1: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ SV1 )
| ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(281,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK14_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK16_SY108 @ SV1 @ SV7 ) @ SV1 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(282,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ~ ! [SY112: $i] :
~ ~ ( ~ ( member @ SY112 @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY112 @ ( sK16_SY108 @ SV1 @ SV7 ) ) )
| ( ( sK14_SY43 @ SV7 @ SV1 )
= ( sK16_SY108 @ SV1 @ SV7 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(283,plain,
! [SV7: $i,SV1: $i,SV26: $i] :
( ( ( ~ ( member @ SV26 @ SV1 ) )
= $true )
| ( ( ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(284,plain,
! [SV2: $i,SV25: $i,SV24: $i,SV8: $i] :
( ( ( apply @ SV8 @ SV24 @ SV25 )
= $false )
| ( ( apply @ SV8 @ SV25 @ SV24 )
= $true )
| ( ( member @ SV24 @ SV2 )
= $false )
| ( ( member @ SV25 @ SV2 )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(285,plain,
! [SV8: $i,SV19: $i,SV17: $i,SV2: $i,SV20: $i] :
( ( ( member @ SV20 @ SV2 )
= $false )
| ( ( member @ SV17 @ SV2 )
= $false )
| ( ( member @ SV19 @ SV2 )
= $false )
| ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
| ( apply @ SV8 @ SV17 @ SV20 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(286,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(287,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(288,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(289,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY116: $i,SY117: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY116 @ SV2 ) )
| ~ ( member @ SY117 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ SY116 )
| ~ ( apply @ SV8 @ SY116 @ SY117 ) )
| ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ SY117 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[273]) ).
thf(290,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(291,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(292,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY118: $i,SY119: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY118 @ SV2 ) )
| ~ ( member @ SY119 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ SY118 )
| ~ ( apply @ SV8 @ SY118 @ SY119 ) )
| ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ SY119 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[276]) ).
thf(293,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY120: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ SY120 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK21_SY113 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK21_SY113 @ SV2 @ SV8 ) @ SY120 ) )
| ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ SY120 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[277]) ).
thf(294,plain,
! [SV7: $i,SV1: $i,SV18: $i,SV16: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV16 )
| ~ ( member @ SV28 @ SV18 ) )
= $true )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(295,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK15_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK18_SY110 @ SV1 @ SV7 ) @ SV1 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(296,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ~ ! [SY115: $i] :
~ ~ ( ~ ( member @ SY115 @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY115 @ ( sK18_SY110 @ SV1 @ SV7 ) ) )
| ( ( sK15_SY43 @ SV7 @ SV1 )
= ( sK18_SY110 @ SV1 @ SV7 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(297,plain,
! [SV7: $i,SV1: $i,SV27: $i] :
( ( ( ~ ( member @ SV27 @ SV1 ) )
= $true )
| ( ( ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(298,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ( ~ ( member @ ( sK14_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK16_SY108 @ SV1 @ SV7 ) @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(299,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ~ ! [SY112: $i] :
~ ~ ( ~ ( member @ SY112 @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY112 @ ( sK16_SY108 @ SV1 @ SV7 ) ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(300,plain,
! [SV1: $i,SV7: $i] :
( ( ( ( sK14_SY43 @ SV7 @ SV1 )
= ( sK16_SY108 @ SV1 @ SV7 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(301,plain,
! [SV7: $i,SV1: $i,SV26: $i] :
( ( ( member @ SV26 @ SV1 )
= $false )
| ( ( ~ ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(302,plain,
! [SV2: $i,SV20: $i,SV19: $i,SV17: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) ) )
= $true )
| ( ( apply @ SV8 @ SV17 @ SV20 )
= $true )
| ( ( member @ SV19 @ SV2 )
= $false )
| ( ( member @ SV17 @ SV2 )
= $false )
| ( ( member @ SV20 @ SV2 )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(303,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(304,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( ~ ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(305,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY121: $i,SY122: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY121 @ SV2 ) )
| ~ ( member @ SY122 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ SY121 )
| ~ ( apply @ SV8 @ SY121 @ SY122 ) )
| ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ SY122 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(306,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY123: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ SY123 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK23_SY116 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK23_SY116 @ SV2 @ SV8 ) @ SY123 ) )
| ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ SY123 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[289]) ).
thf(307,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(308,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(309,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY124: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ SY124 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK24_SY118 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK24_SY118 @ SV2 @ SV8 ) @ SY124 ) )
| ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ SY124 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(310,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK25_SY120 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK21_SY113 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK21_SY113 @ SV2 @ SV8 ) @ ( sK25_SY120 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK25_SY120 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[293]) ).
thf(311,plain,
! [SV7: $i,SV1: $i,SV18: $i,SV16: $i,SV28: $i] :
( ( ( ~ ( member @ SV28 @ SV16 ) )
= $true )
| ( ( ~ ( member @ SV28 @ SV18 ) )
= $true )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(312,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ( ~ ( member @ ( sK15_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK18_SY110 @ SV1 @ SV7 ) @ SV1 ) ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(313,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ~ ! [SY115: $i] :
~ ~ ( ~ ( member @ SY115 @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY115 @ ( sK18_SY110 @ SV1 @ SV7 ) ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(314,plain,
! [SV1: $i,SV7: $i] :
( ( ( ( sK15_SY43 @ SV7 @ SV1 )
= ( sK18_SY110 @ SV1 @ SV7 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(315,plain,
! [SV7: $i,SV1: $i,SV27: $i] :
( ( ( member @ SV27 @ SV1 )
= $false )
| ( ( ~ ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(316,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK14_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK16_SY108 @ SV1 @ SV7 ) @ SV1 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(317,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ! [SY112: $i] :
~ ~ ( ~ ( member @ SY112 @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY112 @ ( sK16_SY108 @ SV1 @ SV7 ) ) ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(318,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(319,plain,
! [SV2: $i,SV20: $i,SV19: $i,SV17: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) ) )
= $false )
| ( ( apply @ SV8 @ SV17 @ SV20 )
= $true )
| ( ( member @ SV19 @ SV2 )
= $false )
| ( ( member @ SV17 @ SV2 )
= $false )
| ( ( member @ SV20 @ SV2 )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(320,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(321,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY88: $i,SY89: $i,SY90: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ SY88 @ SV2 )
| ~ ( member @ SY89 @ SV2 ) )
| ~ ( member @ SY90 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ SY88 @ SY89 )
| ~ ( apply @ SV8 @ SY89 @ SY90 ) )
| ( apply @ SV8 @ SY88 @ SY90 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(322,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY125: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ SY125 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK26_SY121 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK26_SY121 @ SV2 @ SV8 ) @ SY125 ) )
| ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ SY125 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[305]) ).
thf(323,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK27_SY123 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK23_SY116 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK23_SY116 @ SV2 @ SV8 ) @ ( sK27_SY123 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK27_SY123 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(324,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY126: $i,SY127: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY126 @ SV2 ) )
| ~ ( member @ SY127 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ SY126 )
| ~ ( apply @ SV8 @ SY126 @ SY127 ) )
| ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ SY127 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[307]) ).
thf(325,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY128: $i,SY129: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY128 @ SV2 ) )
| ~ ( member @ SY129 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ SY128 )
| ~ ( apply @ SV8 @ SY128 @ SY129 ) )
| ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ SY129 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[308]) ).
thf(326,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK30_SY124 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK24_SY118 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK24_SY118 @ SV2 @ SV8 ) @ ( sK30_SY124 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK30_SY124 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[309]) ).
thf(327,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK25_SY120 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(328,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK21_SY113 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK21_SY113 @ SV2 @ SV8 ) @ ( sK25_SY120 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK25_SY120 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(329,plain,
! [SV7: $i,SV1: $i,SV18: $i,SV16: $i,SV28: $i] :
( ( ( member @ SV28 @ SV16 )
= $false )
| ( ( ~ ( member @ SV28 @ SV18 ) )
= $true )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(330,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK15_SY43 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK18_SY110 @ SV1 @ SV7 ) @ SV1 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(331,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ! [SY115: $i] :
~ ~ ( ~ ( member @ SY115 @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY115 @ ( sK18_SY110 @ SV1 @ SV7 ) ) ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(332,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( ~ ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(333,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK14_SY43 @ SV7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(334,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK16_SY108 @ SV1 @ SV7 ) @ SV1 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(335,plain,
! [SV1: $i,SV7: $i] :
( ( ( ! [SY112: $i] :
~ ~ ( ~ ( member @ SY112 @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY112 @ ( sK16_SY108 @ SV1 @ SV7 ) ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(336,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(337,plain,
! [SV2: $i,SV20: $i,SV19: $i,SV17: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ SV17 @ SV19 )
| ~ ( apply @ SV8 @ SV19 @ SV20 ) )
= $true )
| ( ( apply @ SV8 @ SV17 @ SV20 )
= $true )
| ( ( member @ SV19 @ SV2 )
= $false )
| ( ( member @ SV17 @ SV2 )
= $false )
| ( ( member @ SV20 @ SV2 )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(338,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY130: $i,SY131: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY130 @ SV2 ) )
| ~ ( member @ SY131 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ SY130 )
| ~ ( apply @ SV8 @ SY130 @ SY131 ) )
| ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ SY131 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[320]) ).
thf(339,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY132: $i,SY133: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ SY132 @ SV2 ) )
| ~ ( member @ SY133 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ SY132 )
| ~ ( apply @ SV8 @ SY132 @ SY133 ) )
| ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ SY133 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[321]) ).
thf(340,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK33_SY125 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK26_SY121 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK26_SY121 @ SV2 @ SV8 ) @ ( sK33_SY125 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK33_SY125 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[322]) ).
thf(341,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK27_SY123 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(342,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK23_SY116 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK23_SY116 @ SV2 @ SV8 ) @ ( sK27_SY123 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK27_SY123 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(343,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY134: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ SY134 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK34_SY126 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK34_SY126 @ SV2 @ SV8 ) @ SY134 ) )
| ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ SY134 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[324]) ).
thf(344,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ SY135 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK35_SY128 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK35_SY128 @ SV2 @ SV8 ) @ SY135 ) )
| ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ SY135 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[325]) ).
thf(345,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK30_SY124 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(346,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK24_SY118 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK24_SY118 @ SV2 @ SV8 ) @ ( sK30_SY124 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK30_SY124 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(347,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK25_SY120 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(348,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK21_SY113 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK21_SY113 @ SV2 @ SV8 ) @ ( sK25_SY120 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(349,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK25_SY120 @ SV2 @ SV8 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(350,plain,
! [SV7: $i,SV1: $i,SV16: $i,SV18: $i,SV28: $i] :
( ( ( member @ SV28 @ SV18 )
= $false )
| ( ( member @ SV28 @ SV16 )
= $false )
| ( ( SV16 = SV18 )
= $true )
| ( ( member @ SV16 @ SV1 )
= $false )
| ( ( member @ SV18 @ SV1 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(351,plain,
! [SV1: $i,SV7: $i] :
( ( ( ~ ( member @ ( sK15_SY43 @ SV7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(352,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK18_SY110 @ SV1 @ SV7 ) @ SV1 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(353,plain,
! [SV1: $i,SV7: $i] :
( ( ( ! [SY115: $i] :
~ ~ ( ~ ( member @ SY115 @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ SY115 @ ( sK18_SY110 @ SV1 @ SV7 ) ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(354,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( ! [SY43: $i,SY44: $i] :
( ~ ~ ( ~ ( member @ SY43 @ SV1 )
| ~ ( member @ SY44 @ SV1 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ( member @ SX4 @ SY43 )
| ~ ( member @ SX4 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(355,plain,
! [SV1: $i,SV7: $i] :
( ( ( member @ ( sK14_SY43 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(356,plain,
! [SV7: $i,SV1: $i] :
( ( ( member @ ( sK16_SY108 @ SV1 @ SV7 ) @ SV1 )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(357,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK16_SY108 @ SV1 @ SV7 ) ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[335]) ).
thf(358,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ! [SY136: $i] :
( ~ ~ ( ~ ( member @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ SY136 @ SV1 ) )
| ~ ~ ! [SY137: $i] :
~ ~ ( ~ ( member @ SY137 @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ SY137 @ SY136 ) )
| ( ( sK37_SY43 @ SV26 @ SV7 @ SV1 )
= SY136 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[336]) ).
thf(359,plain,
! [SV2: $i,SV20: $i,SV19: $i,SV17: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ SV17 @ SV19 ) )
= $true )
| ( ( ~ ( apply @ SV8 @ SV19 @ SV20 ) )
= $true )
| ( ( apply @ SV8 @ SV17 @ SV20 )
= $true )
| ( ( member @ SV19 @ SV2 )
= $false )
| ( ( member @ SV17 @ SV2 )
= $false )
| ( ( member @ SV20 @ SV2 )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(360,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY138: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ SY138 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK38_SY130 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK38_SY130 @ SV2 @ SV8 ) @ SY138 ) )
| ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ SY138 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[338]) ).
thf(361,plain,
! [SV2: $i,SV8: $i] :
( ( ( ! [SY139: $i] :
( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ SY139 @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK39_SY132 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK39_SY132 @ SV2 @ SV8 ) @ SY139 ) )
| ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ SY139 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[339]) ).
thf(362,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK33_SY125 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(363,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK26_SY121 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK26_SY121 @ SV2 @ SV8 ) @ ( sK33_SY125 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK33_SY125 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(364,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK27_SY123 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(365,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK23_SY116 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK23_SY116 @ SV2 @ SV8 ) @ ( sK27_SY123 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(366,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK27_SY123 @ SV2 @ SV8 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(367,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK40_SY134 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK34_SY126 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK34_SY126 @ SV2 @ SV8 ) @ ( sK40_SY134 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK40_SY134 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[343]) ).
thf(368,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK41_SY135 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK35_SY128 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK35_SY128 @ SV2 @ SV8 ) @ ( sK41_SY135 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK41_SY135 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[344]) ).
thf(369,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK30_SY124 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(370,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK24_SY118 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK24_SY118 @ SV2 @ SV8 ) @ ( sK30_SY124 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(371,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK30_SY124 @ SV2 @ SV8 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(372,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK25_SY120 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(373,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK21_SY113 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK21_SY113 @ SV2 @ SV8 ) @ ( sK25_SY120 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(374,plain,
! [SV1: $i,SV7: $i] :
( ( ( member @ ( sK15_SY43 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(375,plain,
! [SV7: $i,SV1: $i] :
( ( ( member @ ( sK18_SY110 @ SV1 @ SV7 ) @ SV1 )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(376,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK18_SY110 @ SV1 @ SV7 ) ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[353]) ).
thf(377,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ! [SY140: $i] :
( ~ ~ ( ~ ( member @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ SY140 @ SV1 ) )
| ~ ~ ! [SY141: $i] :
~ ~ ( ~ ( member @ SY141 @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ SY141 @ SY140 ) )
| ( ( sK43_SY43 @ SV27 @ SV7 @ SV1 )
= SY140 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[354]) ).
thf(378,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK16_SY108 @ SV1 @ SV7 ) ) ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(379,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) @ SV1 ) )
| ~ ~ ! [SY142: $i] :
~ ~ ( ~ ( member @ SY142 @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ SY142 @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) )
| ( ( sK37_SY43 @ SV26 @ SV7 @ SV1 )
= ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[358]) ).
thf(380,plain,
! [SV2: $i,SV20: $i,SV19: $i,SV17: $i,SV8: $i] :
( ( ( apply @ SV8 @ SV17 @ SV19 )
= $false )
| ( ( ~ ( apply @ SV8 @ SV19 @ SV20 ) )
= $true )
| ( ( apply @ SV8 @ SV17 @ SV20 )
= $true )
| ( ( member @ SV19 @ SV2 )
= $false )
| ( ( member @ SV17 @ SV2 )
= $false )
| ( ( member @ SV20 @ SV2 )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(381,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK45_SY138 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK38_SY130 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK38_SY130 @ SV2 @ SV8 ) @ ( sK45_SY138 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK45_SY138 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[360]) ).
thf(382,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK46_SY139 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ~ ( ~ ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK39_SY132 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK39_SY132 @ SV2 @ SV8 ) @ ( sK46_SY139 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK46_SY139 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[361]) ).
thf(383,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK33_SY125 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(384,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK26_SY121 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK26_SY121 @ SV2 @ SV8 ) @ ( sK33_SY125 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(385,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK33_SY125 @ SV2 @ SV8 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(386,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK27_SY123 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(387,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK23_SY116 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK23_SY116 @ SV2 @ SV8 ) @ ( sK27_SY123 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(388,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK40_SY134 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(389,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK34_SY126 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK34_SY126 @ SV2 @ SV8 ) @ ( sK40_SY134 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK40_SY134 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(390,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK41_SY135 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(391,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK35_SY128 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK35_SY128 @ SV2 @ SV8 ) @ ( sK41_SY135 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK41_SY135 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(392,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK30_SY124 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(393,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK24_SY118 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK24_SY118 @ SV2 @ SV8 ) @ ( sK30_SY124 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(394,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(395,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK25_SY120 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(396,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK21_SY113 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK21_SY113 @ SV2 @ SV8 ) @ ( sK25_SY120 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(397,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK18_SY110 @ SV1 @ SV7 ) ) ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(398,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) @ SV1 ) )
| ~ ~ ! [SY143: $i] :
~ ~ ( ~ ( member @ SY143 @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ SY143 @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) )
| ( ( sK43_SY43 @ SV27 @ SV7 @ SV1 )
= ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[377]) ).
thf(399,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK14_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK16_SY108 @ SV1 @ SV7 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(400,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) @ SV1 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(401,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ~ ~ ! [SY142: $i] :
~ ~ ( ~ ( member @ SY142 @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ SY142 @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) )
| ( ( sK37_SY43 @ SV26 @ SV7 @ SV1 )
= ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(402,plain,
! [SV2: $i,SV17: $i,SV20: $i,SV19: $i,SV8: $i] :
( ( ( apply @ SV8 @ SV19 @ SV20 )
= $false )
| ( ( apply @ SV8 @ SV17 @ SV19 )
= $false )
| ( ( apply @ SV8 @ SV17 @ SV20 )
= $true )
| ( ( member @ SV19 @ SV2 )
= $false )
| ( ( member @ SV17 @ SV2 )
= $false )
| ( ( member @ SV20 @ SV2 )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(403,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK45_SY138 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(404,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK38_SY130 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK38_SY130 @ SV2 @ SV8 ) @ ( sK45_SY138 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK45_SY138 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(405,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK46_SY139 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(406,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK39_SY132 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK39_SY132 @ SV2 @ SV8 ) @ ( sK46_SY139 @ SV2 @ SV8 ) ) )
| ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK46_SY139 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(407,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK33_SY125 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(408,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK26_SY121 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK26_SY121 @ SV2 @ SV8 ) @ ( sK33_SY125 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(409,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(410,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK27_SY123 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(411,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK23_SY116 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK23_SY116 @ SV2 @ SV8 ) @ ( sK27_SY123 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(412,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK40_SY134 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(413,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK34_SY126 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK34_SY126 @ SV2 @ SV8 ) @ ( sK40_SY134 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(414,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK40_SY134 @ SV2 @ SV8 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(415,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK41_SY135 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(416,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK35_SY128 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK35_SY128 @ SV2 @ SV8 ) @ ( sK41_SY135 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(417,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK41_SY135 @ SV2 @ SV8 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(418,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(419,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK30_SY124 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[392]) ).
thf(420,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK24_SY118 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK24_SY118 @ SV2 @ SV8 ) @ ( sK30_SY124 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(421,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(422,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK25_SY120 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(423,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK21_SY113 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(424,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK21_SY113 @ SV2 @ SV8 ) @ ( sK25_SY120 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(425,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK15_SY43 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK18_SY110 @ SV1 @ SV7 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(426,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) @ SV1 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(427,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ~ ~ ! [SY143: $i] :
~ ~ ( ~ ( member @ SY143 @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ SY143 @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) )
| ( ( sK43_SY43 @ SV27 @ SV7 @ SV1 )
= ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(428,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK14_SY43 @ SV7 @ SV1 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(429,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK16_SY108 @ SV1 @ SV7 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(430,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ~ ( ~ ( member @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) @ SV1 ) ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(431,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ~ ~ ! [SY142: $i] :
~ ~ ( ~ ( member @ SY142 @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ SY142 @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(432,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ( sK37_SY43 @ SV26 @ SV7 @ SV1 )
= ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(433,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK45_SY138 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(434,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK38_SY130 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK38_SY130 @ SV2 @ SV8 ) @ ( sK45_SY138 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(435,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK45_SY138 @ SV2 @ SV8 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(436,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK46_SY139 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(437,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK39_SY132 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK39_SY132 @ SV2 @ SV8 ) @ ( sK46_SY139 @ SV2 @ SV8 ) ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(438,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK46_SY139 @ SV2 @ SV8 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(439,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(440,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK33_SY125 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(441,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK26_SY121 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK26_SY121 @ SV2 @ SV8 ) @ ( sK33_SY125 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(442,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(443,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK27_SY123 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(444,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK23_SY116 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(445,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK23_SY116 @ SV2 @ SV8 ) @ ( sK27_SY123 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(446,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK40_SY134 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(447,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK34_SY126 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK34_SY126 @ SV2 @ SV8 ) @ ( sK40_SY134 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(448,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK41_SY135 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(449,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK35_SY128 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK35_SY128 @ SV2 @ SV8 ) @ ( sK41_SY135 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(450,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(451,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK30_SY124 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(452,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK24_SY118 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(453,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK24_SY118 @ SV2 @ SV8 ) @ ( sK30_SY124 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(454,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(455,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK17_SY88 @ SV8 @ SV2 ) @ ( sK21_SY113 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(456,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK21_SY113 @ SV2 @ SV8 ) @ ( sK25_SY120 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(457,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK15_SY43 @ SV7 @ SV1 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(458,plain,
! [SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK18_SY110 @ SV1 @ SV7 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(459,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ~ ( ~ ( member @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) @ SV1 ) ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(460,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ~ ~ ! [SY143: $i] :
~ ~ ( ~ ( member @ SY143 @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ SY143 @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(461,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ( sK43_SY43 @ SV27 @ SV7 @ SV1 )
= ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(462,plain,
! [SV7: $i,SV1: $i] :
( ( ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK14_SY43 @ SV7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(463,plain,
! [SV7: $i,SV1: $i] :
( ( ( member @ ( sK36_SY112 @ SV1 @ SV7 ) @ ( sK16_SY108 @ SV1 @ SV7 ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(464,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ~ ( member @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) @ SV1 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(465,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ~ ! [SY142: $i] :
~ ~ ( ~ ( member @ SY142 @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ SY142 @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(466,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK45_SY138 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(467,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK38_SY130 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK38_SY130 @ SV2 @ SV8 ) @ ( sK45_SY138 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(468,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) )
| ~ ( member @ ( sK46_SY139 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(469,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK39_SY132 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK39_SY132 @ SV2 @ SV8 ) @ ( sK46_SY139 @ SV2 @ SV8 ) ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(470,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(471,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK33_SY125 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(472,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK26_SY121 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(473,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK26_SY121 @ SV2 @ SV8 ) @ ( sK33_SY125 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(474,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(475,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK19_SY88 @ SV8 @ SV2 ) @ ( sK23_SY116 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(476,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK23_SY116 @ SV2 @ SV8 ) @ ( sK27_SY123 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(477,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(478,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK40_SY134 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(479,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK34_SY126 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK34_SY126 @ SV2 @ SV8 ) @ ( sK40_SY134 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(480,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(481,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK41_SY135 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(482,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK35_SY128 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK35_SY128 @ SV2 @ SV8 ) @ ( sK41_SY135 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(483,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(484,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK20_SY88 @ SV8 @ SV2 ) @ ( sK24_SY118 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(485,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK24_SY118 @ SV2 @ SV8 ) @ ( sK30_SY124 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(486,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(487,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(488,plain,
! [SV7: $i,SV1: $i] :
( ( ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK15_SY43 @ SV7 @ SV1 ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(489,plain,
! [SV7: $i,SV1: $i] :
( ( ( member @ ( sK42_SY115 @ SV1 @ SV7 ) @ ( sK18_SY110 @ SV1 @ SV7 ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV7 )
= $true )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(490,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ~ ( member @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) @ SV1 )
| ~ ( member @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) @ SV1 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(491,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ~ ! [SY143: $i] :
~ ~ ( ~ ( member @ SY143 @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ SY143 @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(492,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ~ ( member @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(493,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) @ SV1 ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(494,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( ! [SY142: $i] :
~ ~ ( ~ ( member @ SY142 @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ SY142 @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(495,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(496,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK45_SY138 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(497,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK38_SY130 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK38_SY130 @ SV2 @ SV8 ) @ ( sK45_SY138 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(498,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(499,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK46_SY139 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(500,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK39_SY132 @ SV2 @ SV8 ) )
| ~ ( apply @ SV8 @ ( sK39_SY132 @ SV2 @ SV8 ) @ ( sK46_SY139 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(501,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(502,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK22_SY88 @ SV8 @ SV2 ) @ ( sK26_SY121 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(503,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK26_SY121 @ SV2 @ SV8 ) @ ( sK33_SY125 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(504,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(505,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(506,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(507,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK40_SY134 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(508,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK34_SY126 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(509,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK34_SY126 @ SV2 @ SV8 ) @ ( sK40_SY134 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(510,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(511,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK41_SY135 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(512,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK35_SY128 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(513,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK35_SY128 @ SV2 @ SV8 ) @ ( sK41_SY135 @ SV2 @ SV8 ) ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(514,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(515,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(516,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK17_SY88 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(517,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK21_SY113 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK12_SY105 @ SV2 @ SV8 ) @ ( sK8_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(518,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ~ ( member @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) @ SV1 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(519,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) @ SV1 ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(520,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( ! [SY143: $i] :
~ ~ ( ~ ( member @ SY143 @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ SY143 @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(521,plain,
! [SV1: $i,SV7: $i,SV26: $i] :
( ( ( member @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(522,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( member @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) @ SV1 )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(523,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[494]) ).
thf(524,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(525,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK45_SY138 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(526,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK38_SY130 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(527,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK38_SY130 @ SV2 @ SV8 ) @ ( sK45_SY138 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(528,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(529,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK46_SY139 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(530,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK39_SY132 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(531,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( apply @ SV8 @ ( sK39_SY132 @ SV2 @ SV8 ) @ ( sK46_SY139 @ SV2 @ SV8 ) ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(532,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(533,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(534,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK19_SY88 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(535,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK23_SY116 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK13_SY107 @ SV2 @ SV8 ) @ ( sK11_SY86 @ SV8 @ SV2 ) )
= $false )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(536,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(537,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK28_SY88 @ SV8 @ SV2 ) @ ( sK34_SY126 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(538,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK34_SY126 @ SV2 @ SV8 ) @ ( sK40_SY134 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(539,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(540,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK29_SY88 @ SV8 @ SV2 ) @ ( sK35_SY128 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(541,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK35_SY128 @ SV2 @ SV8 ) @ ( sK41_SY135 @ SV2 @ SV8 ) )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(542,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK20_SY88 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(543,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK24_SY118 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK8_SY86 @ SV8 @ SV2 ) @ ( sK12_SY105 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(544,plain,
! [SV1: $i,SV7: $i,SV27: $i] :
( ( ( member @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(545,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( member @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) @ SV1 )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(546,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[520]) ).
thf(547,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(548,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(549,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK31_SY88 @ SV8 @ SV2 ) @ ( sK38_SY130 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(550,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK38_SY130 @ SV2 @ SV8 ) @ ( sK45_SY138 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(551,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
| ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(552,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK32_SY88 @ SV8 @ SV2 ) @ ( sK39_SY132 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(553,plain,
! [SV2: $i,SV8: $i] :
( ( ( apply @ SV8 @ ( sK39_SY132 @ SV2 @ SV8 ) @ ( sK46_SY139 @ SV2 @ SV8 ) )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(554,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK22_SY88 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(555,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK26_SY121 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK11_SY86 @ SV8 @ SV2 ) @ ( sK13_SY107 @ SV2 @ SV8 ) )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(556,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(557,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(558,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(559,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(560,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( ~ ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(561,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(562,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(563,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(564,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(565,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 ) )
= $false )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(566,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK28_SY88 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(567,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK34_SY126 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK8_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(568,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK29_SY88 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(569,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK35_SY128 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( apply @ SV8 @ ( sK6_SY85 @ SV8 @ SV2 ) @ ( sK6_SY85 @ SV8 @ SV2 ) )
= $false )
| ( ( member @ ( sK12_SY105 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(570,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
| ~ ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(571,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(572,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) ) )
= $false )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(573,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK31_SY88 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(574,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK38_SY130 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK11_SY86 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(575,plain,
! [SV2: $i,SV8: $i] :
( ( ( member @ ( sK32_SY88 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(576,plain,
! [SV8: $i,SV2: $i] :
( ( ( member @ ( sK39_SY132 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( member @ ( sK6_SY85 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( member @ ( sK13_SY107 @ SV2 @ SV8 ) @ SV2 )
= $true )
| ( ( equivalence @ SV8 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(577,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(578,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( ~ ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) ) )
= $false )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(579,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK37_SY43 @ SV26 @ SV7 @ SV1 ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(580,plain,
! [SV26: $i,SV7: $i,SV1: $i] :
( ( ( member @ ( sK48_SY142 @ SV1 @ SV7 @ SV26 ) @ ( sK44_SY136 @ SV1 @ SV7 @ SV26 ) )
= $true )
| ( ( subset @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV7 )
= $false )
| ( ( member @ SV26 @ SV1 )
= $false )
| ( ( member @ ( sK7_SY74 @ SV1 @ SV7 ) @ SV26 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(581,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK43_SY43 @ SV27 @ SV7 @ SV1 ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(582,plain,
! [SV27: $i,SV7: $i,SV1: $i] :
( ( ( member @ ( sK49_SY143 @ SV1 @ SV7 @ SV27 ) @ ( sK47_SY140 @ SV1 @ SV7 @ SV27 ) )
= $true )
| ( ( member @ ( sK5_SY73 @ SV7 @ SV1 ) @ SV1 )
= $true )
| ( ( member @ SV27 @ SV1 )
= $false )
| ( ( member @ ( sK10_SY74 @ SV1 @ SV7 ) @ SV27 )
= $false )
| ( ( partition @ SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(583,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,582,581,580,579,576,575,574,573,569,568,567,566,555,554,553,552,550,549,545,544,543,542,541,540,538,537,535,534,529,525,522,521,517,516,511,507,503,502,489,488,485,484,476,475,471,463,462,461,456,455,451,443,438,435,432,422,417,414,402,385,375,374,371,366,356,355,350,349,314,300,284,263,262,201,196,177,167,166,157,147,146,144,143,134,108,107,46]) ).
thf(584,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET767+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n014.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Oct 6 14:51:11 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.22/1.01
% 3.22/1.01 No.of.Axioms: 6
% 3.22/1.01
% 3.22/1.01 Length.of.Defs: 0
% 3.22/1.01
% 3.22/1.01 Contains.Choice.Funs: false
% 3.22/1.01 .................
% 3.22/1.01
% 3.22/1.01 ********************************
% 3.22/1.01 * All subproblems solved! *
% 3.22/1.01 ********************************
% 3.22/1.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:7,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:583,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.22/1.01
% 3.22/1.01 %**** Beginning of derivation protocol ****
% 3.22/1.01 % SZS output start CNFRefutation
% See solution above
% 3.22/1.02
% 3.22/1.02 %**** End of derivation protocol ****
% 3.22/1.02 %**** no. of clauses in derivation: 574 ****
% 3.22/1.02 %**** clause counter: 583 ****
% 3.22/1.02
% 3.22/1.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:7,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:583,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------