TSTP Solution File: SEU137+2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:06:59 EDT 2022
% Result : Theorem 0.12s 0.52s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 70
% Syntax : Number of formulae : 616 ( 337 unt; 20 typ; 0 def)
% Number of atoms : 3673 (1282 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 7928 (1367 ~;1208 |; 88 &;5204 @)
% ( 26 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 1638 ( 0 ^1630 !; 8 ?;1638 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_disjoint,type,
disjoint: $i > $i > $o ).
thf(tp_empty,type,
empty: $i > $o ).
thf(tp_empty_set,type,
empty_set: $i ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK10_B,type,
sK10_B: $i > $i ).
thf(tp_sK11_C,type,
sK11_C: $i > $i > $i ).
thf(tp_sK12_C,type,
sK12_C: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY98,type,
sK2_SY98: $i ).
thf(tp_sK3_C,type,
sK3_C: $i > $i > $i ).
thf(tp_sK4_A,type,
sK4_A: $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_D,type,
sK6_D: $i > $i > $i > $i ).
thf(tp_sK7_D,type,
sK7_D: $i > $i > $i > $i ).
thf(tp_sK8_C,type,
sK8_C: $i > $i > $i ).
thf(tp_sK9_D,type,
sK9_D: $i > $i > $i > $i ).
thf(tp_set_difference,type,
set_difference: $i > $i > $i ).
thf(tp_set_intersection2,type,
set_intersection2: $i > $i > $i ).
thf(tp_set_union2,type,
set_union2: $i > $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(1,axiom,
! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
thf(2,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
thf(3,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(4,axiom,
! [A: $i] :
( ( set_difference @ empty_set @ A )
= empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
thf(5,axiom,
! [A: $i] :
( ( set_difference @ A @ empty_set )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
<=> ( in @ C @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
thf(7,axiom,
! [A: $i] :
( ( set_intersection2 @ A @ empty_set )
= empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
thf(8,axiom,
! [A: $i] :
( ( set_union2 @ A @ empty_set )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
thf(10,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(11,axiom,
? [A: $i] :
~ ( empty @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(12,axiom,
? [A: $i] : ( empty @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
thf(17,axiom,
empty @ empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(18,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_xboole_0) ).
thf(19,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_xboole_0) ).
thf(20,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_xboole_0) ).
thf(21,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_difference @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ~ ( in @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
thf(27,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ B ) )
=> ( subset @ ( set_union2 @ A @ C ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
thf(33,axiom,
! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) ) )
& ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
& ( disjoint @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( set_difference @ ( set_union2 @ A @ B ) @ B )
= ( set_difference @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_xboole_1) ).
thf(36,axiom,
! [A: $i] :
( ( subset @ A @ empty_set )
=> ( A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( in @ C @ B ) ) )
& ~ ( ? [C: $i] :
( ( in @ C @ A )
& ( in @ C @ B ) )
& ( disjoint @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ ( set_difference @ B @ A ) )
= ( set_union2 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
thf(40,axiom,
! [A: $i,B: $i] : ( subset @ ( set_difference @ A @ B ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( subset @ ( set_difference @ A @ C ) @ ( set_difference @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).
thf(42,axiom,
! [A: $i] : ( subset @ empty_set @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_intersection2 @ A @ B )
= A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( subset @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_xboole_1) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ A @ C ) )
=> ( subset @ A @ ( set_intersection2 @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
thf(47,axiom,
! [A: $i,B: $i] : ( subset @ ( set_intersection2 @ A @ B ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_union2 @ A @ B )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
thf(50,conjecture,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( B
= ( set_union2 @ A @ ( set_difference @ B @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
thf(51,negated_conjecture,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( B
= ( set_union2 @ A @ ( set_difference @ B @ A ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[50]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( B
= ( set_union2 @ A @ ( set_difference @ B @ A ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[51]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(55,plain,
( ( ! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(56,plain,
( ( ! [A: $i] :
( ( set_difference @ empty_set @ A )
= empty_set ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(57,plain,
( ( ! [A: $i] :
( ( set_difference @ A @ empty_set )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
<=> ( in @ C @ B ) )
=> ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(59,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ empty_set )
= empty_set ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(60,plain,
( ( ! [A: $i] :
( ( set_union2 @ A @ empty_set )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(61,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] : ( subset @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(63,plain,
( ( ? [A: $i] :
~ ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(64,plain,
( ( ? [A: $i] : ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ( set_union2 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(69,plain,
( ( empty @ empty_set )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(70,plain,
$true = $true,
inference(unfold_def,[status(thm)],[18]) ).
thf(71,plain,
$true = $true,
inference(unfold_def,[status(thm)],[19]) ).
thf(72,plain,
$true = $true,
inference(unfold_def,[status(thm)],[20]) ).
thf(73,plain,
$true = $true,
inference(unfold_def,[status(thm)],[21]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(75,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( set_difference @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ~ ( in @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(76,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(78,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(79,plain,
( ( ! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(83,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ B ) )
=> ( subset @ ( set_union2 @ A @ C ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(85,plain,
( ( ! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(86,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) ) )
& ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
& ( disjoint @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ( set_difference @ ( set_union2 @ A @ B ) @ B )
= ( set_difference @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(88,plain,
( ( ! [A: $i] :
( ( subset @ A @ empty_set )
=> ( A = empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( in @ C @ B ) ) )
& ~ ( ? [C: $i] :
( ( in @ C @ A )
& ( in @ C @ B ) )
& ( disjoint @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
( ( set_union2 @ A @ ( set_difference @ B @ A ) )
= ( set_union2 @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] : ( subset @ ( set_difference @ A @ B ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(93,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( subset @ ( set_difference @ A @ C ) @ ( set_difference @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(94,plain,
( ( ! [A: $i] : ( subset @ empty_set @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(95,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_intersection2 @ A @ B )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(96,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( subset @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(97,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(98,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ A @ C ) )
=> ( subset @ A @ ( set_intersection2 @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(99,plain,
( ( ! [A: $i,B: $i] : ( subset @ ( set_intersection2 @ A @ B ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(100,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_union2 @ A @ B )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(101,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(102,plain,
( ( ! [SY98: $i] :
( ( subset @ sK1_A @ SY98 )
=> ( SY98
= ( set_union2 @ sK1_A @ ( set_difference @ SY98 @ sK1_A ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(103,plain,
( ( ( subset @ sK1_A @ sK2_SY98 )
=> ( sK2_SY98
= ( set_union2 @ sK1_A @ ( set_difference @ sK2_SY98 @ sK1_A ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[102]) ).
thf(104,plain,
( ( subset @ sK1_A @ sK2_SY98 )
= $true ),
inference(standard_cnf,[status(thm)],[103]) ).
thf(105,plain,
( ( sK2_SY98
= ( set_union2 @ sK1_A @ ( set_difference @ sK2_SY98 @ sK1_A ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[103]) ).
thf(106,plain,
( ( ( sK2_SY98
!= ( set_union2 @ sK1_A @ ( set_difference @ sK2_SY98 @ sK1_A ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[105]) ).
thf(107,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(108,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(109,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ( ( ~ ( in @ ( sK3_C @ B @ A ) @ A )
| ~ ( in @ ( sK3_C @ B @ A ) @ B ) )
& ( ( in @ ( sK3_C @ B @ A ) @ A )
| ( in @ ( sK3_C @ B @ A ) @ B ) ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(111,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(112,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(113,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(114,plain,
( ( empty @ sK5_A )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(115,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(116,plain,
( ( ! [A: $i] :
( ( set_union2 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(117,plain,
( ( ! [A: $i] :
( ( empty @ A )
| ! [B: $i] :
~ ( empty @ ( set_union2 @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(118,plain,
( ( ! [A: $i] :
( ( empty @ A )
| ! [B: $i] :
~ ( empty @ ( set_union2 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(119,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_intersection2 @ A @ B )
!= empty_set )
| ( disjoint @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( ( set_intersection2 @ A @ B )
= empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(120,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ~ ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ~ ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) ) )
| ( C
= ( set_difference @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_difference @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ A )
| ( in @ D @ B )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ~ ( in @ D @ B ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(121,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK7_D @ C @ B @ A ) @ A )
| ~ ( in @ ( sK7_D @ C @ B @ A ) @ B )
| ~ ( in @ ( sK7_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK7_D @ C @ B @ A ) @ A )
| ( in @ ( sK7_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK7_D @ C @ B @ A ) @ B )
| ( in @ ( sK7_D @ C @ B @ A ) @ C ) ) )
| ( C
= ( set_intersection2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_intersection2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ A )
| ~ ( in @ D @ B )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ B ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(122,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK8_C @ B @ A ) @ A )
& ~ ( in @ ( sK8_C @ B @ A ) @ B ) )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] :
( ~ ( in @ C @ A )
| ( in @ C @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(123,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK9_D @ C @ B @ A ) @ C )
| ~ ( in @ ( sK9_D @ C @ B @ A ) @ A ) )
& ( ~ ( in @ ( sK9_D @ C @ B @ A ) @ C )
| ~ ( in @ ( sK9_D @ C @ B @ A ) @ B ) )
& ( ( in @ ( sK9_D @ C @ B @ A ) @ C )
| ( in @ ( sK9_D @ C @ B @ A ) @ A )
| ( in @ ( sK9_D @ C @ B @ A ) @ B ) ) )
| ( C
= ( set_union2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_union2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A )
| ( in @ D @ B ) )
& ! [D: $i] :
( ~ ( in @ D @ A )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ B )
| ( in @ D @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(124,plain,
( ( ! [A: $i] :
( ( in @ ( sK10_B @ A ) @ A )
| ( A = empty_set ) )
& ! [A: $i] :
( ( A != empty_set )
| ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ A )
| ( A = B ) )
& ! [A: $i,B: $i] :
( ( A != B )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ( A != B )
| ( subset @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(126,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ C @ B )
| ( subset @ ( set_union2 @ A @ C ) @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(128,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( in @ ( sK11_C @ B @ A ) @ ( set_intersection2 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) )
| ~ ( disjoint @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(129,plain,
( ( ! [A: $i] :
( ~ ( subset @ A @ empty_set )
| ( A = empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(130,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( ( in @ ( sK12_C @ B @ A ) @ A )
& ( in @ ( sK12_C @ B @ A ) @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
( ~ ( in @ C @ A )
| ~ ( in @ C @ B ) )
| ~ ( disjoint @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(131,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
!= empty_set )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( ( set_difference @ A @ B )
= empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] : ( subset @ ( set_difference @ A @ C ) @ ( set_difference @ B @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(133,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( ( set_intersection2 @ A @ B )
= A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(134,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] : ( subset @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(135,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ C )
| ( subset @ A @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(136,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ A @ C )
| ( subset @ A @ ( set_intersection2 @ B @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(137,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( ( set_union2 @ A @ B )
= B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[100]) ).
thf(138,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
!= empty_set )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( ( set_difference @ A @ B )
= empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(139,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
!= empty_set )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( ( set_difference @ A @ B )
= empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(140,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( ( set_union2 @ A @ B )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(141,plain,
( ( ! [A: $i,B: $i] : ( subset @ ( set_intersection2 @ A @ B ) @ A ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(142,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ A @ C )
| ( subset @ A @ ( set_intersection2 @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ C )
| ( subset @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(144,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] : ( subset @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(145,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( ( set_intersection2 @ A @ B )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(146,plain,
( ( ! [A: $i] : ( subset @ empty_set @ A ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(147,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] : ( subset @ ( set_difference @ A @ C ) @ ( set_difference @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(148,plain,
( ( ! [A: $i,B: $i] : ( subset @ ( set_difference @ A @ B ) @ A ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(149,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
!= empty_set )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( ( set_difference @ A @ B )
= empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(150,plain,
( ( ! [A: $i,B: $i] :
( ( set_union2 @ A @ ( set_difference @ B @ A ) )
= ( set_union2 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(151,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( ( in @ ( sK12_C @ B @ A ) @ A )
& ( in @ ( sK12_C @ B @ A ) @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
( ~ ( in @ C @ A )
| ~ ( in @ C @ B ) )
| ~ ( disjoint @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(152,plain,
( ( ! [A: $i] :
( ~ ( subset @ A @ empty_set )
| ( A = empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(153,plain,
( ( ! [A: $i,B: $i] :
( ( set_difference @ ( set_union2 @ A @ B ) @ B )
= ( set_difference @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(154,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( in @ ( sK11_C @ B @ A ) @ ( set_intersection2 @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) )
| ~ ( disjoint @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(155,plain,
( ( ! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(156,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ C @ B )
| ( subset @ ( set_union2 @ A @ C ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(157,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(158,plain,
( ( ! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(159,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ~ ( subset @ B @ A )
| ( A = B ) )
& ! [A: $i,B: $i] :
( ( A != B )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ( A != B )
| ( subset @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(161,plain,
( ( ! [A: $i] :
( ( in @ ( sK10_B @ A ) @ A )
| ( A = empty_set ) )
& ! [A: $i] :
( ( A != empty_set )
| ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(162,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK9_D @ C @ B @ A ) @ C )
| ~ ( in @ ( sK9_D @ C @ B @ A ) @ A ) )
& ( ~ ( in @ ( sK9_D @ C @ B @ A ) @ C )
| ~ ( in @ ( sK9_D @ C @ B @ A ) @ B ) )
& ( ( in @ ( sK9_D @ C @ B @ A ) @ C )
| ( in @ ( sK9_D @ C @ B @ A ) @ A )
| ( in @ ( sK9_D @ C @ B @ A ) @ B ) ) )
| ( C
= ( set_union2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_union2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A )
| ( in @ D @ B ) )
& ! [D: $i] :
( ~ ( in @ D @ A )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ B )
| ( in @ D @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(163,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK8_C @ B @ A ) @ A )
& ~ ( in @ ( sK8_C @ B @ A ) @ B ) )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ! [C: $i] :
( ~ ( in @ C @ A )
| ( in @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(164,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK7_D @ C @ B @ A ) @ A )
| ~ ( in @ ( sK7_D @ C @ B @ A ) @ B )
| ~ ( in @ ( sK7_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK7_D @ C @ B @ A ) @ A )
| ( in @ ( sK7_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK7_D @ C @ B @ A ) @ B )
| ( in @ ( sK7_D @ C @ B @ A ) @ C ) ) )
| ( C
= ( set_intersection2 @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_intersection2 @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ A )
| ~ ( in @ D @ B )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(165,plain,
( ( ! [A: $i] :
( ! [B: $i,C: $i] :
( ( ( ~ ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ~ ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ( in @ ( sK6_D @ C @ B @ A ) @ A )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) )
& ( ~ ( in @ ( sK6_D @ C @ B @ A ) @ B )
| ( in @ ( sK6_D @ C @ B @ A ) @ C ) ) )
| ( C
= ( set_difference @ A @ B ) ) )
& ! [B: $i,C: $i] :
( ( C
!= ( set_difference @ A @ B ) )
| ( ! [D: $i] :
( ~ ( in @ D @ A )
| ( in @ D @ B )
| ( in @ D @ C ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ( in @ D @ A ) )
& ! [D: $i] :
( ~ ( in @ D @ C )
| ~ ( in @ D @ B ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(166,plain,
( ( ! [A: $i,B: $i] :
( ( ( set_intersection2 @ A @ B )
!= empty_set )
| ( disjoint @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( ( set_intersection2 @ A @ B )
= empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(167,plain,
$true = $true,
inference(copy,[status(thm)],[73]) ).
thf(168,plain,
$true = $true,
inference(copy,[status(thm)],[72]) ).
thf(169,plain,
$true = $true,
inference(copy,[status(thm)],[71]) ).
thf(170,plain,
$true = $true,
inference(copy,[status(thm)],[70]) ).
thf(171,plain,
( ( empty @ empty_set )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(172,plain,
( ( ! [A: $i] :
( ( empty @ A )
| ! [B: $i] :
~ ( empty @ ( set_union2 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(173,plain,
( ( ! [A: $i] :
( ( empty @ A )
| ! [B: $i] :
~ ( empty @ ( set_union2 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(174,plain,
( ( ! [A: $i] :
( ( set_union2 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(175,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(176,plain,
( ( empty @ sK5_A )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(177,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(178,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(179,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(180,plain,
( ( ! [A: $i] :
( ( set_union2 @ A @ empty_set )
= A ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(181,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ empty_set )
= empty_set ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(182,plain,
( ( ! [A: $i,B: $i] :
( ( ( ~ ( in @ ( sK3_C @ B @ A ) @ A )
| ~ ( in @ ( sK3_C @ B @ A ) @ B ) )
& ( ( in @ ( sK3_C @ B @ A ) @ A )
| ( in @ ( sK3_C @ B @ A ) @ B ) ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(183,plain,
( ( ! [A: $i] :
( ( set_difference @ A @ empty_set )
= A ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(184,plain,
( ( ! [A: $i] :
( ( set_difference @ empty_set @ A )
= empty_set ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(185,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(186,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(187,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(188,plain,
( ( subset @ sK1_A @ sK2_SY98 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(189,plain,
( ( ( sK2_SY98
!= ( set_union2 @ sK1_A @ ( set_difference @ sK2_SY98 @ sK1_A ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(190,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= empty_set ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(191,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK8_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK8_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(192,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= empty_set ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(193,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ~ ( ~ ( in @ ( sK12_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK12_C @ SX1 @ SX0 ) @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX2 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(194,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK11_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(195,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( ~ ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ( in @ ( sK6_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) ) )
| ( SX2
= ( set_difference @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX2
!= ( set_difference @ SX0 @ SX1 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ( in @ SX3 @ SX1 )
| ( in @ SX3 @ SX2 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX0 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ~ ( in @ SX3 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(196,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ( ~ ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ( in @ ( sK7_D @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) ) )
| ( SX2
= ( set_intersection2 @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX2
!= ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ~ ( in @ SX3 @ SX1 )
| ( in @ SX3 @ SX2 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX0 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(197,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(198,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ~ ( in @ ( sK9_D @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( ~ ( in @ ( sK9_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ~ ( in @ ( sK9_D @ SX2 @ SX1 @ SX0 ) @ SX1 ) ) )
| ~ ( ( in @ ( sK9_D @ SX2 @ SX1 @ SX0 ) @ SX2 )
| ( in @ ( sK9_D @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK9_D @ SX2 @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX2
= ( set_union2 @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX2
!= ( set_union2 @ SX0 @ SX1 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX2 )
| ( in @ SX3 @ SX0 )
| ( in @ SX3 @ SX1 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX0 )
| ( in @ SX3 @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SX1 )
| ( in @ SX3 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(199,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( in @ ( sK10_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) )
| ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(200,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(201,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( in @ ( sK3_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK3_C @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( in @ ( sK3_C @ SX1 @ SX0 ) @ SX0 )
| ( in @ ( sK3_C @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(202,plain,
! [SV1: $i] :
( ( ! [SY99: $i] :
( ~ ( subset @ SV1 @ SY99 )
| ( ( set_union2 @ SV1 @ SY99 )
= SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(203,plain,
! [SV2: $i] :
( ( ! [SY100: $i] : ( subset @ ( set_intersection2 @ SV2 @ SY100 ) @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(204,plain,
! [SV3: $i] :
( ( ! [SY101: $i,SY102: $i] :
( ~ ( subset @ SV3 @ SY101 )
| ~ ( subset @ SV3 @ SY102 )
| ( subset @ SV3 @ ( set_intersection2 @ SY101 @ SY102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(205,plain,
! [SV4: $i] :
( ( ! [SY103: $i,SY104: $i] :
( ~ ( subset @ SV4 @ SY103 )
| ~ ( subset @ SY103 @ SY104 )
| ( subset @ SV4 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(206,plain,
! [SV5: $i] :
( ( ! [SY105: $i] :
( ~ ( subset @ SV5 @ SY105 )
| ! [SY106: $i] : ( subset @ ( set_intersection2 @ SV5 @ SY106 ) @ ( set_intersection2 @ SY105 @ SY106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(207,plain,
! [SV6: $i] :
( ( ! [SY107: $i] :
( ~ ( subset @ SV6 @ SY107 )
| ( ( set_intersection2 @ SV6 @ SY107 )
= SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(208,plain,
! [SV7: $i] :
( ( subset @ empty_set @ SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(209,plain,
! [SV8: $i] :
( ( ! [SY108: $i] :
( ~ ( subset @ SV8 @ SY108 )
| ! [SY109: $i] : ( subset @ ( set_difference @ SV8 @ SY109 ) @ ( set_difference @ SY108 @ SY109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(210,plain,
! [SV9: $i] :
( ( ! [SY110: $i] : ( subset @ ( set_difference @ SV9 @ SY110 ) @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(211,plain,
! [SV10: $i] :
( ( ! [SY111: $i] :
( ( set_union2 @ SV10 @ ( set_difference @ SY111 @ SV10 ) )
= ( set_union2 @ SV10 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(212,plain,
! [SV11: $i] :
( ( ~ ( subset @ SV11 @ empty_set )
| ( SV11 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(213,plain,
! [SV12: $i] :
( ( ! [SY112: $i] :
( ( set_difference @ ( set_union2 @ SV12 @ SY112 ) @ SY112 )
= ( set_difference @ SV12 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(214,plain,
! [SV13: $i] :
( ( ! [SY113: $i] : ( subset @ SV13 @ ( set_union2 @ SV13 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(215,plain,
! [SV14: $i] :
( ( ! [SY114: $i,SY115: $i] :
( ~ ( subset @ SV14 @ SY114 )
| ~ ( subset @ SY115 @ SY114 )
| ( subset @ ( set_union2 @ SV14 @ SY115 ) @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(216,plain,
! [SV15: $i] :
( ( ! [SY116: $i] :
( ~ ( in @ SV15 @ SY116 )
| ~ ( in @ SY116 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(217,plain,
! [SV16: $i] :
( ( ! [SY117: $i] :
( ( set_union2 @ SV16 @ SY117 )
= ( set_union2 @ SY117 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(218,plain,
! [SV17: $i] :
( ( ! [SY118: $i] :
( ( set_intersection2 @ SV17 @ SY118 )
= ( set_intersection2 @ SY118 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(219,plain,
! [SV18: $i] :
( ( ( empty @ SV18 )
| ! [SY119: $i] :
~ ( empty @ ( set_union2 @ SV18 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(220,plain,
! [SV19: $i] :
( ( ( empty @ SV19 )
| ! [SY120: $i] :
~ ( empty @ ( set_union2 @ SY120 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(221,plain,
! [SV20: $i] :
( ( ( set_union2 @ SV20 @ SV20 )
= SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(222,plain,
! [SV21: $i] :
( ( ( set_intersection2 @ SV21 @ SV21 )
= SV21 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(223,plain,
( ( empty @ sK4_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(224,plain,
! [SV22: $i] :
( ( subset @ SV22 @ SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(225,plain,
! [SV23: $i] :
( ( ! [SY121: $i] :
( ~ ( disjoint @ SV23 @ SY121 )
| ( disjoint @ SY121 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(226,plain,
! [SV24: $i] :
( ( ( set_union2 @ SV24 @ empty_set )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(227,plain,
! [SV25: $i] :
( ( ( set_intersection2 @ SV25 @ empty_set )
= empty_set )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(228,plain,
! [SV26: $i] :
( ( ( set_difference @ SV26 @ empty_set )
= SV26 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(229,plain,
! [SV27: $i] :
( ( ( set_difference @ empty_set @ SV27 )
= empty_set )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(230,plain,
! [SV28: $i] :
( ( ~ ( empty @ SV28 )
| ( SV28 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(231,plain,
! [SV29: $i] :
( ( ! [SY122: $i] :
( ~ ( empty @ SY122 )
| ~ ( in @ SV29 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(232,plain,
! [SV30: $i] :
( ( ! [SY123: $i] :
( ( SV30 = SY123 )
| ~ ( empty @ SV30 )
| ~ ( empty @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(233,plain,
( ( sK2_SY98
= ( set_union2 @ sK1_A @ ( set_difference @ sK2_SY98 @ sK1_A ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(234,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(235,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK8_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK8_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(236,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(237,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ~ ( ~ ( in @ ( sK12_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK12_C @ SX1 @ SX0 ) @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX2 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(238,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK11_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(239,plain,
! [SV31: $i] :
( ( ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY124 )
| ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) )
| ~ ( ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY124 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) ) ) )
| ( SY125
= ( set_difference @ SV31 @ SY124 ) ) )
| ~ ! [SY126: $i,SY127: $i] :
( ( SY127
!= ( set_difference @ SV31 @ SY126 ) )
| ~ ( ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ SV31 )
| ( in @ SY128 @ SY126 )
| ( in @ SY128 @ SY127 ) )
| ~ ~ ( ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ SY127 )
| ( in @ SY129 @ SV31 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY127 )
| ~ ( in @ SX3 @ SY126 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(240,plain,
! [SV32: $i] :
( ( ~ ( ~ ! [SY131: $i,SY132: $i] :
( ~ ( ~ ( ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY131 )
| ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) )
| ~ ( ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY131 )
| ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) ) ) )
| ( SY132
= ( set_intersection2 @ SV32 @ SY131 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ( SY134
!= ( set_intersection2 @ SV32 @ SY133 ) )
| ~ ( ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ SV32 )
| ~ ( in @ SY135 @ SY133 )
| ( in @ SY135 @ SY134 ) )
| ~ ~ ( ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ SY134 )
| ( in @ SY136 @ SV32 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY134 )
| ( in @ SX3 @ SY133 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(241,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(242,plain,
! [SV33: $i] :
( ( ~ ( ~ ! [SY138: $i,SY139: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY138 ) ) )
| ~ ( ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY138 ) ) )
| ( SY139
= ( set_union2 @ SV33 @ SY138 ) ) )
| ~ ! [SY140: $i,SY141: $i] :
( ( SY141
!= ( set_union2 @ SV33 @ SY140 ) )
| ~ ( ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ SY141 )
| ( in @ SY142 @ SV33 )
| ( in @ SY142 @ SY140 ) )
| ~ ~ ( ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ SV33 )
| ( in @ SY143 @ SY141 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY140 )
| ( in @ SX3 @ SY141 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(243,plain,
( ( ~ ! [SX0: $i] :
( ( in @ ( sK10_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) )
| ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(244,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(245,plain,
! [SV34: $i] :
( ( ! [SY145: $i] :
( ~ ( ~ ( ~ ( in @ ( sK3_C @ SY145 @ SV34 ) @ SV34 )
| ~ ( in @ ( sK3_C @ SY145 @ SV34 ) @ SY145 ) )
| ~ ( ( in @ ( sK3_C @ SY145 @ SV34 ) @ SV34 )
| ( in @ ( sK3_C @ SY145 @ SV34 ) @ SY145 ) ) )
| ( SV34 = SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(246,plain,
! [SV35: $i,SV1: $i] :
( ( ~ ( subset @ SV1 @ SV35 )
| ( ( set_union2 @ SV1 @ SV35 )
= SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(247,plain,
! [SV36: $i,SV2: $i] :
( ( subset @ ( set_intersection2 @ SV2 @ SV36 ) @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(248,plain,
! [SV37: $i,SV3: $i] :
( ( ! [SY146: $i] :
( ~ ( subset @ SV3 @ SV37 )
| ~ ( subset @ SV3 @ SY146 )
| ( subset @ SV3 @ ( set_intersection2 @ SV37 @ SY146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(249,plain,
! [SV38: $i,SV4: $i] :
( ( ! [SY147: $i] :
( ~ ( subset @ SV4 @ SV38 )
| ~ ( subset @ SV38 @ SY147 )
| ( subset @ SV4 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(250,plain,
! [SV39: $i,SV5: $i] :
( ( ~ ( subset @ SV5 @ SV39 )
| ! [SY148: $i] : ( subset @ ( set_intersection2 @ SV5 @ SY148 ) @ ( set_intersection2 @ SV39 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(251,plain,
! [SV40: $i,SV6: $i] :
( ( ~ ( subset @ SV6 @ SV40 )
| ( ( set_intersection2 @ SV6 @ SV40 )
= SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(252,plain,
! [SV41: $i,SV8: $i] :
( ( ~ ( subset @ SV8 @ SV41 )
| ! [SY149: $i] : ( subset @ ( set_difference @ SV8 @ SY149 ) @ ( set_difference @ SV41 @ SY149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(253,plain,
! [SV42: $i,SV9: $i] :
( ( subset @ ( set_difference @ SV9 @ SV42 ) @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(254,plain,
! [SV43: $i,SV10: $i] :
( ( ( set_union2 @ SV10 @ ( set_difference @ SV43 @ SV10 ) )
= ( set_union2 @ SV10 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(255,plain,
! [SV11: $i] :
( ( ( ~ ( subset @ SV11 @ empty_set ) )
= $true )
| ( ( SV11 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(256,plain,
! [SV44: $i,SV12: $i] :
( ( ( set_difference @ ( set_union2 @ SV12 @ SV44 ) @ SV44 )
= ( set_difference @ SV12 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(257,plain,
! [SV45: $i,SV13: $i] :
( ( subset @ SV13 @ ( set_union2 @ SV13 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(258,plain,
! [SV46: $i,SV14: $i] :
( ( ! [SY150: $i] :
( ~ ( subset @ SV14 @ SV46 )
| ~ ( subset @ SY150 @ SV46 )
| ( subset @ ( set_union2 @ SV14 @ SY150 ) @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(259,plain,
! [SV47: $i,SV15: $i] :
( ( ~ ( in @ SV15 @ SV47 )
| ~ ( in @ SV47 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(260,plain,
! [SV48: $i,SV16: $i] :
( ( ( set_union2 @ SV16 @ SV48 )
= ( set_union2 @ SV48 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(261,plain,
! [SV49: $i,SV17: $i] :
( ( ( set_intersection2 @ SV17 @ SV49 )
= ( set_intersection2 @ SV49 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(262,plain,
! [SV18: $i] :
( ( ( empty @ SV18 )
= $true )
| ( ( ! [SY119: $i] :
~ ( empty @ ( set_union2 @ SV18 @ SY119 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(263,plain,
! [SV19: $i] :
( ( ( empty @ SV19 )
= $true )
| ( ( ! [SY120: $i] :
~ ( empty @ ( set_union2 @ SY120 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(264,plain,
! [SV50: $i,SV23: $i] :
( ( ~ ( disjoint @ SV23 @ SV50 )
| ( disjoint @ SV50 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(265,plain,
! [SV28: $i] :
( ( ( ~ ( empty @ SV28 ) )
= $true )
| ( ( SV28 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(266,plain,
! [SV29: $i,SV51: $i] :
( ( ~ ( empty @ SV51 )
| ~ ( in @ SV29 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(267,plain,
! [SV52: $i,SV30: $i] :
( ( ( SV30 = SV52 )
| ~ ( empty @ SV30 )
| ~ ( empty @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(268,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(269,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(270,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK8_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK8_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(271,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(272,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(273,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(274,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ~ ( ~ ( in @ ( sK12_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK12_C @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(275,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX2 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(276,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK11_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(277,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(278,plain,
! [SV31: $i] :
( ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY124 )
| ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) )
| ~ ( ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY124 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) ) ) )
| ( SY125
= ( set_difference @ SV31 @ SY124 ) ) )
| ~ ! [SY126: $i,SY127: $i] :
( ( SY127
!= ( set_difference @ SV31 @ SY126 ) )
| ~ ( ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ SV31 )
| ( in @ SY128 @ SY126 )
| ( in @ SY128 @ SY127 ) )
| ~ ~ ( ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ SY127 )
| ( in @ SY129 @ SV31 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY127 )
| ~ ( in @ SX3 @ SY126 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(279,plain,
! [SV32: $i] :
( ( ~ ! [SY131: $i,SY132: $i] :
( ~ ( ~ ( ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY131 )
| ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) )
| ~ ( ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY131 )
| ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) ) ) )
| ( SY132
= ( set_intersection2 @ SV32 @ SY131 ) ) )
| ~ ! [SY133: $i,SY134: $i] :
( ( SY134
!= ( set_intersection2 @ SV32 @ SY133 ) )
| ~ ( ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ SV32 )
| ~ ( in @ SY135 @ SY133 )
| ( in @ SY135 @ SY134 ) )
| ~ ~ ( ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ SY134 )
| ( in @ SY136 @ SV32 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY134 )
| ( in @ SX3 @ SY133 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(280,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(281,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(282,plain,
! [SV33: $i] :
( ( ~ ! [SY138: $i,SY139: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY138 ) ) )
| ~ ( ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY138 ) ) )
| ( SY139
= ( set_union2 @ SV33 @ SY138 ) ) )
| ~ ! [SY140: $i,SY141: $i] :
( ( SY141
!= ( set_union2 @ SV33 @ SY140 ) )
| ~ ( ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ SY141 )
| ( in @ SY142 @ SV33 )
| ( in @ SY142 @ SY140 ) )
| ~ ~ ( ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ SV33 )
| ( in @ SY143 @ SY141 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY140 )
| ( in @ SX3 @ SY141 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(283,plain,
( ( ~ ! [SX0: $i] :
( ( in @ ( sK10_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(284,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(285,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(286,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(287,plain,
! [SV34: $i,SV53: $i] :
( ( ~ ( ~ ( ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) )
| ~ ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) ) )
| ( SV34 = SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(288,plain,
! [SV35: $i,SV1: $i] :
( ( ( ~ ( subset @ SV1 @ SV35 ) )
= $true )
| ( ( ( set_union2 @ SV1 @ SV35 )
= SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(289,plain,
! [SV54: $i,SV37: $i,SV3: $i] :
( ( ~ ( subset @ SV3 @ SV37 )
| ~ ( subset @ SV3 @ SV54 )
| ( subset @ SV3 @ ( set_intersection2 @ SV37 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(290,plain,
! [SV55: $i,SV38: $i,SV4: $i] :
( ( ~ ( subset @ SV4 @ SV38 )
| ~ ( subset @ SV38 @ SV55 )
| ( subset @ SV4 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(291,plain,
! [SV39: $i,SV5: $i] :
( ( ( ~ ( subset @ SV5 @ SV39 ) )
= $true )
| ( ( ! [SY148: $i] : ( subset @ ( set_intersection2 @ SV5 @ SY148 ) @ ( set_intersection2 @ SV39 @ SY148 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(292,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ( subset @ SV6 @ SV40 ) )
= $true )
| ( ( ( set_intersection2 @ SV6 @ SV40 )
= SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(293,plain,
! [SV41: $i,SV8: $i] :
( ( ( ~ ( subset @ SV8 @ SV41 ) )
= $true )
| ( ( ! [SY149: $i] : ( subset @ ( set_difference @ SV8 @ SY149 ) @ ( set_difference @ SV41 @ SY149 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(294,plain,
! [SV11: $i] :
( ( ( subset @ SV11 @ empty_set )
= $false )
| ( ( SV11 = empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(295,plain,
! [SV56: $i,SV46: $i,SV14: $i] :
( ( ~ ( subset @ SV14 @ SV46 )
| ~ ( subset @ SV56 @ SV46 )
| ( subset @ ( set_union2 @ SV14 @ SV56 ) @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(296,plain,
! [SV47: $i,SV15: $i] :
( ( ( ~ ( in @ SV15 @ SV47 ) )
= $true )
| ( ( ~ ( in @ SV47 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(297,plain,
! [SV57: $i,SV18: $i] :
( ( ( ~ ( empty @ ( set_union2 @ SV18 @ SV57 ) ) )
= $true )
| ( ( empty @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(298,plain,
! [SV19: $i,SV58: $i] :
( ( ( ~ ( empty @ ( set_union2 @ SV58 @ SV19 ) ) )
= $true )
| ( ( empty @ SV19 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(299,plain,
! [SV50: $i,SV23: $i] :
( ( ( ~ ( disjoint @ SV23 @ SV50 ) )
= $true )
| ( ( disjoint @ SV50 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(300,plain,
! [SV28: $i] :
( ( ( empty @ SV28 )
= $false )
| ( ( SV28 = empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(301,plain,
! [SV29: $i,SV51: $i] :
( ( ( ~ ( empty @ SV51 ) )
= $true )
| ( ( ~ ( in @ SV29 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(302,plain,
! [SV52: $i,SV30: $i] :
( ( ( ( SV30 = SV52 )
| ~ ( empty @ SV30 ) )
= $true )
| ( ( ~ ( empty @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(303,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(304,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(305,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK8_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK8_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(306,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(307,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( set_difference @ SX0 @ SX1 )
!= empty_set )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(308,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( ( set_difference @ SX0 @ SX1 )
= empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(309,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ~ ( ~ ( in @ ( sK12_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK12_C @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(310,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX2 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(311,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK11_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(312,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(313,plain,
! [SV31: $i] :
( ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY124 )
| ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) )
| ~ ( ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY124 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) ) ) )
| ( SY125
= ( set_difference @ SV31 @ SY124 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(314,plain,
! [SV31: $i] :
( ( ~ ! [SY126: $i,SY127: $i] :
( ( SY127
!= ( set_difference @ SV31 @ SY126 ) )
| ~ ( ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ SV31 )
| ( in @ SY128 @ SY126 )
| ( in @ SY128 @ SY127 ) )
| ~ ~ ( ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ SY127 )
| ( in @ SY129 @ SV31 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY127 )
| ~ ( in @ SX3 @ SY126 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(315,plain,
! [SV32: $i] :
( ( ~ ! [SY131: $i,SY132: $i] :
( ~ ( ~ ( ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY131 )
| ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) )
| ~ ( ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY131 )
| ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) ) ) )
| ( SY132
= ( set_intersection2 @ SV32 @ SY131 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(316,plain,
! [SV32: $i] :
( ( ~ ! [SY133: $i,SY134: $i] :
( ( SY134
!= ( set_intersection2 @ SV32 @ SY133 ) )
| ~ ( ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ SV32 )
| ~ ( in @ SY135 @ SY133 )
| ( in @ SY135 @ SY134 ) )
| ~ ~ ( ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ SY134 )
| ( in @ SY136 @ SV32 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY134 )
| ( in @ SX3 @ SY133 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(317,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(318,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(319,plain,
! [SV33: $i] :
( ( ~ ! [SY138: $i,SY139: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY138 ) ) )
| ~ ( ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY138 ) ) )
| ( SY139
= ( set_union2 @ SV33 @ SY138 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(320,plain,
! [SV33: $i] :
( ( ~ ! [SY140: $i,SY141: $i] :
( ( SY141
!= ( set_union2 @ SV33 @ SY140 ) )
| ~ ( ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ SY141 )
| ( in @ SY142 @ SV33 )
| ( in @ SY142 @ SY140 ) )
| ~ ~ ( ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ SV33 )
| ( in @ SY143 @ SY141 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY140 )
| ( in @ SX3 @ SY141 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(321,plain,
( ( ! [SX0: $i] :
( ( in @ ( sK10_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(322,plain,
( ( ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(323,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ~ ( subset @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(324,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(325,plain,
! [SV34: $i,SV53: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) )
| ~ ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) ) ) )
= $true )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(326,plain,
! [SV35: $i,SV1: $i] :
( ( ( subset @ SV1 @ SV35 )
= $false )
| ( ( ( set_union2 @ SV1 @ SV35 )
= SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(327,plain,
! [SV54: $i,SV37: $i,SV3: $i] :
( ( ( ~ ( subset @ SV3 @ SV37 )
| ~ ( subset @ SV3 @ SV54 ) )
= $true )
| ( ( subset @ SV3 @ ( set_intersection2 @ SV37 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(328,plain,
! [SV55: $i,SV38: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV38 )
| ~ ( subset @ SV38 @ SV55 ) )
= $true )
| ( ( subset @ SV4 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(329,plain,
! [SV39: $i,SV5: $i] :
( ( ( subset @ SV5 @ SV39 )
= $false )
| ( ( ! [SY148: $i] : ( subset @ ( set_intersection2 @ SV5 @ SY148 ) @ ( set_intersection2 @ SV39 @ SY148 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(330,plain,
! [SV40: $i,SV6: $i] :
( ( ( subset @ SV6 @ SV40 )
= $false )
| ( ( ( set_intersection2 @ SV6 @ SV40 )
= SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(331,plain,
! [SV41: $i,SV8: $i] :
( ( ( subset @ SV8 @ SV41 )
= $false )
| ( ( ! [SY149: $i] : ( subset @ ( set_difference @ SV8 @ SY149 ) @ ( set_difference @ SV41 @ SY149 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(332,plain,
! [SV56: $i,SV46: $i,SV14: $i] :
( ( ( ~ ( subset @ SV14 @ SV46 )
| ~ ( subset @ SV56 @ SV46 ) )
= $true )
| ( ( subset @ ( set_union2 @ SV14 @ SV56 ) @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(333,plain,
! [SV47: $i,SV15: $i] :
( ( ( in @ SV15 @ SV47 )
= $false )
| ( ( ~ ( in @ SV47 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(334,plain,
! [SV57: $i,SV18: $i] :
( ( ( empty @ ( set_union2 @ SV18 @ SV57 ) )
= $false )
| ( ( empty @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(335,plain,
! [SV19: $i,SV58: $i] :
( ( ( empty @ ( set_union2 @ SV58 @ SV19 ) )
= $false )
| ( ( empty @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(336,plain,
! [SV50: $i,SV23: $i] :
( ( ( disjoint @ SV23 @ SV50 )
= $false )
| ( ( disjoint @ SV50 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(337,plain,
! [SV29: $i,SV51: $i] :
( ( ( empty @ SV51 )
= $false )
| ( ( ~ ( in @ SV29 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(338,plain,
! [SV52: $i,SV30: $i] :
( ( ( SV30 = SV52 )
= $true )
| ( ( ~ ( empty @ SV30 ) )
= $true )
| ( ( ~ ( empty @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(339,plain,
! [SV59: $i] :
( ( ! [SY151: $i] :
( ( ( set_difference @ SV59 @ SY151 )
!= empty_set )
| ( subset @ SV59 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(340,plain,
! [SV60: $i] :
( ( ! [SY152: $i] :
( ~ ( subset @ SV60 @ SY152 )
| ( ( set_difference @ SV60 @ SY152 )
= empty_set ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(341,plain,
! [SV61: $i] :
( ( ! [SY153: $i] :
( ~ ( ~ ( in @ ( sK8_C @ SY153 @ SV61 ) @ SV61 )
| ~ ~ ( in @ ( sK8_C @ SY153 @ SV61 ) @ SY153 ) )
| ( subset @ SV61 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(342,plain,
! [SV62: $i] :
( ( ! [SY154: $i] :
( ~ ( subset @ SV62 @ SY154 )
| ! [SY155: $i] :
( ~ ( in @ SY155 @ SV62 )
| ( in @ SY155 @ SY154 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(343,plain,
! [SV63: $i] :
( ( ! [SY156: $i] :
( ( ( set_difference @ SV63 @ SY156 )
!= empty_set )
| ( subset @ SV63 @ SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(344,plain,
! [SV64: $i] :
( ( ! [SY157: $i] :
( ~ ( subset @ SV64 @ SY157 )
| ( ( set_difference @ SV64 @ SY157 )
= empty_set ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(345,plain,
! [SV65: $i] :
( ( ! [SY158: $i] :
( ( disjoint @ SV65 @ SY158 )
| ~ ( ~ ( in @ ( sK12_C @ SY158 @ SV65 ) @ SV65 )
| ~ ( in @ ( sK12_C @ SY158 @ SV65 ) @ SY158 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(346,plain,
! [SV66: $i] :
( ( ! [SY159: $i] :
( ! [SY160: $i] :
( ~ ( in @ SY160 @ SV66 )
| ~ ( in @ SY160 @ SY159 ) )
| ~ ( disjoint @ SV66 @ SY159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(347,plain,
! [SV67: $i] :
( ( ! [SY161: $i] :
( ( disjoint @ SV67 @ SY161 )
| ( in @ ( sK11_C @ SY161 @ SV67 ) @ ( set_intersection2 @ SV67 @ SY161 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(348,plain,
! [SV68: $i] :
( ( ! [SY162: $i] :
( ! [SY163: $i] :
~ ( in @ SY163 @ ( set_intersection2 @ SV68 @ SY162 ) )
| ~ ( disjoint @ SV68 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(349,plain,
! [SV31: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY124 )
| ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) )
| ~ ( ~ ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY124 )
| ( in @ ( sK6_D @ SY125 @ SY124 @ SV31 ) @ SY125 ) ) ) )
| ( SY125
= ( set_difference @ SV31 @ SY124 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(350,plain,
! [SV31: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ( SY127
!= ( set_difference @ SV31 @ SY126 ) )
| ~ ( ~ ! [SY128: $i] :
( ~ ( in @ SY128 @ SV31 )
| ( in @ SY128 @ SY126 )
| ( in @ SY128 @ SY127 ) )
| ~ ~ ( ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ SY127 )
| ( in @ SY129 @ SV31 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY127 )
| ~ ( in @ SX3 @ SY126 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(351,plain,
! [SV32: $i] :
( ( ! [SY131: $i,SY132: $i] :
( ~ ( ~ ( ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY131 )
| ~ ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) )
| ~ ( ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY131 )
| ( in @ ( sK7_D @ SY132 @ SY131 @ SV32 ) @ SY132 ) ) ) )
| ( SY132
= ( set_intersection2 @ SV32 @ SY131 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(352,plain,
! [SV32: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ( SY134
!= ( set_intersection2 @ SV32 @ SY133 ) )
| ~ ( ~ ! [SY135: $i] :
( ~ ( in @ SY135 @ SV32 )
| ~ ( in @ SY135 @ SY133 )
| ( in @ SY135 @ SY134 ) )
| ~ ~ ( ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ SY134 )
| ( in @ SY136 @ SV32 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY134 )
| ( in @ SX3 @ SY133 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(353,plain,
! [SV69: $i] :
( ( ! [SY164: $i] :
( ( ( set_intersection2 @ SV69 @ SY164 )
!= empty_set )
| ( disjoint @ SV69 @ SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(354,plain,
! [SV70: $i] :
( ( ! [SY165: $i] :
( ~ ( disjoint @ SV70 @ SY165 )
| ( ( set_intersection2 @ SV70 @ SY165 )
= empty_set ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(355,plain,
! [SV33: $i] :
( ( ! [SY138: $i,SY139: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ~ ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY138 ) ) )
| ~ ( ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY139 )
| ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SY139 @ SY138 @ SV33 ) @ SY138 ) ) )
| ( SY139
= ( set_union2 @ SV33 @ SY138 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(356,plain,
! [SV33: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ( SY141
!= ( set_union2 @ SV33 @ SY140 ) )
| ~ ( ~ ! [SY142: $i] :
( ~ ( in @ SY142 @ SY141 )
| ( in @ SY142 @ SV33 )
| ( in @ SY142 @ SY140 ) )
| ~ ~ ( ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ SV33 )
| ( in @ SY143 @ SY141 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY140 )
| ( in @ SX3 @ SY141 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(357,plain,
! [SV71: $i] :
( ( ( in @ ( sK10_B @ SV71 ) @ SV71 )
| ( SV71 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(358,plain,
! [SV72: $i] :
( ( ( SV72 != empty_set )
| ! [SY166: $i] :
~ ( in @ SY166 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(359,plain,
! [SV73: $i] :
( ( ! [SY167: $i] :
( ~ ( subset @ SV73 @ SY167 )
| ~ ( subset @ SY167 @ SV73 )
| ( SV73 = SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(360,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(361,plain,
! [SV34: $i,SV53: $i] :
( ( ( ~ ( ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) )
| ~ ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) ) )
= $false )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(362,plain,
! [SV54: $i,SV37: $i,SV3: $i] :
( ( ( ~ ( subset @ SV3 @ SV37 ) )
= $true )
| ( ( ~ ( subset @ SV3 @ SV54 ) )
= $true )
| ( ( subset @ SV3 @ ( set_intersection2 @ SV37 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(363,plain,
! [SV55: $i,SV38: $i,SV4: $i] :
( ( ( ~ ( subset @ SV4 @ SV38 ) )
= $true )
| ( ( ~ ( subset @ SV38 @ SV55 ) )
= $true )
| ( ( subset @ SV4 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(364,plain,
! [SV39: $i,SV74: $i,SV5: $i] :
( ( ( subset @ ( set_intersection2 @ SV5 @ SV74 ) @ ( set_intersection2 @ SV39 @ SV74 ) )
= $true )
| ( ( subset @ SV5 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(365,plain,
! [SV41: $i,SV75: $i,SV8: $i] :
( ( ( subset @ ( set_difference @ SV8 @ SV75 ) @ ( set_difference @ SV41 @ SV75 ) )
= $true )
| ( ( subset @ SV8 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(366,plain,
! [SV56: $i,SV46: $i,SV14: $i] :
( ( ( ~ ( subset @ SV14 @ SV46 ) )
= $true )
| ( ( ~ ( subset @ SV56 @ SV46 ) )
= $true )
| ( ( subset @ ( set_union2 @ SV14 @ SV56 ) @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(367,plain,
! [SV15: $i,SV47: $i] :
( ( ( in @ SV47 @ SV15 )
= $false )
| ( ( in @ SV15 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(368,plain,
! [SV51: $i,SV29: $i] :
( ( ( in @ SV29 @ SV51 )
= $false )
| ( ( empty @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(369,plain,
! [SV52: $i,SV30: $i] :
( ( ( empty @ SV30 )
= $false )
| ( ( SV30 = SV52 )
= $true )
| ( ( ~ ( empty @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(370,plain,
! [SV76: $i,SV59: $i] :
( ( ( ( set_difference @ SV59 @ SV76 )
!= empty_set )
| ( subset @ SV59 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(371,plain,
! [SV77: $i,SV60: $i] :
( ( ~ ( subset @ SV60 @ SV77 )
| ( ( set_difference @ SV60 @ SV77 )
= empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(372,plain,
! [SV61: $i,SV78: $i] :
( ( ~ ( ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV61 )
| ~ ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV78 ) )
| ( subset @ SV61 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(373,plain,
! [SV79: $i,SV62: $i] :
( ( ~ ( subset @ SV62 @ SV79 )
| ! [SY168: $i] :
( ~ ( in @ SY168 @ SV62 )
| ( in @ SY168 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(374,plain,
! [SV80: $i,SV63: $i] :
( ( ( ( set_difference @ SV63 @ SV80 )
!= empty_set )
| ( subset @ SV63 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(375,plain,
! [SV81: $i,SV64: $i] :
( ( ~ ( subset @ SV64 @ SV81 )
| ( ( set_difference @ SV64 @ SV81 )
= empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(376,plain,
! [SV82: $i,SV65: $i] :
( ( ( disjoint @ SV65 @ SV82 )
| ~ ( ~ ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV65 )
| ~ ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(377,plain,
! [SV83: $i,SV66: $i] :
( ( ! [SY169: $i] :
( ~ ( in @ SY169 @ SV66 )
| ~ ( in @ SY169 @ SV83 ) )
| ~ ( disjoint @ SV66 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(378,plain,
! [SV84: $i,SV67: $i] :
( ( ( disjoint @ SV67 @ SV84 )
| ( in @ ( sK11_C @ SV84 @ SV67 ) @ ( set_intersection2 @ SV67 @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(379,plain,
! [SV85: $i,SV68: $i] :
( ( ! [SY170: $i] :
~ ( in @ SY170 @ ( set_intersection2 @ SV68 @ SV85 ) )
| ~ ( disjoint @ SV68 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(380,plain,
! [SV31: $i,SV86: $i] :
( ( ! [SY171: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY171 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY171 @ SV86 @ SV31 ) @ SV86 )
| ~ ( in @ ( sK6_D @ SY171 @ SV86 @ SV31 ) @ SY171 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY171 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SY171 @ SV86 @ SV31 ) @ SY171 ) )
| ~ ( ~ ( in @ ( sK6_D @ SY171 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SY171 @ SV86 @ SV31 ) @ SY171 ) ) ) )
| ( SY171
= ( set_difference @ SV31 @ SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(381,plain,
! [SV87: $i,SV31: $i] :
( ( ! [SY172: $i] :
( ( SY172
!= ( set_difference @ SV31 @ SV87 ) )
| ~ ( ~ ! [SY173: $i] :
( ~ ( in @ SY173 @ SV31 )
| ( in @ SY173 @ SV87 )
| ( in @ SY173 @ SY172 ) )
| ~ ~ ( ~ ! [SY129: $i] :
( ~ ( in @ SY129 @ SY172 )
| ( in @ SY129 @ SV31 ) )
| ~ ! [SY175: $i] :
( ~ ( in @ SY175 @ SY172 )
| ~ ( in @ SY175 @ SV87 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(382,plain,
! [SV32: $i,SV88: $i] :
( ( ! [SY176: $i] :
( ~ ( ~ ( ~ ( in @ ( sK7_D @ SY176 @ SV88 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SY176 @ SV88 @ SV32 ) @ SV88 )
| ~ ( in @ ( sK7_D @ SY176 @ SV88 @ SV32 ) @ SY176 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SY176 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SY176 @ SV88 @ SV32 ) @ SY176 ) )
| ~ ( ( in @ ( sK7_D @ SY176 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SY176 @ SV88 @ SV32 ) @ SY176 ) ) ) )
| ( SY176
= ( set_intersection2 @ SV32 @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(383,plain,
! [SV89: $i,SV32: $i] :
( ( ! [SY177: $i] :
( ( SY177
!= ( set_intersection2 @ SV32 @ SV89 ) )
| ~ ( ~ ! [SY178: $i] :
( ~ ( in @ SY178 @ SV32 )
| ~ ( in @ SY178 @ SV89 )
| ( in @ SY178 @ SY177 ) )
| ~ ~ ( ~ ! [SY136: $i] :
( ~ ( in @ SY136 @ SY177 )
| ( in @ SY136 @ SV32 ) )
| ~ ! [SY180: $i] :
( ~ ( in @ SY180 @ SY177 )
| ( in @ SY180 @ SV89 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(384,plain,
! [SV90: $i,SV69: $i] :
( ( ( ( set_intersection2 @ SV69 @ SV90 )
!= empty_set )
| ( disjoint @ SV69 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(385,plain,
! [SV91: $i,SV70: $i] :
( ( ~ ( disjoint @ SV70 @ SV91 )
| ( ( set_intersection2 @ SV70 @ SV91 )
= empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(386,plain,
! [SV33: $i,SV92: $i] :
( ( ! [SY181: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SY181 @ SV92 @ SV33 ) @ SY181 )
| ~ ( in @ ( sK9_D @ SY181 @ SV92 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SY181 @ SV92 @ SV33 ) @ SY181 )
| ~ ( in @ ( sK9_D @ SY181 @ SV92 @ SV33 ) @ SV92 ) ) )
| ~ ( ( in @ ( sK9_D @ SY181 @ SV92 @ SV33 ) @ SY181 )
| ( in @ ( sK9_D @ SY181 @ SV92 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SY181 @ SV92 @ SV33 ) @ SV92 ) ) )
| ( SY181
= ( set_union2 @ SV33 @ SV92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(387,plain,
! [SV93: $i,SV33: $i] :
( ( ! [SY182: $i] :
( ( SY182
!= ( set_union2 @ SV33 @ SV93 ) )
| ~ ( ~ ! [SY183: $i] :
( ~ ( in @ SY183 @ SY182 )
| ( in @ SY183 @ SV33 )
| ( in @ SY183 @ SV93 ) )
| ~ ~ ( ~ ! [SY143: $i] :
( ~ ( in @ SY143 @ SV33 )
| ( in @ SY143 @ SY182 ) )
| ~ ! [SY185: $i] :
( ~ ( in @ SY185 @ SV93 )
| ( in @ SY185 @ SY182 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(388,plain,
! [SV71: $i] :
( ( ( in @ ( sK10_B @ SV71 ) @ SV71 )
= $true )
| ( ( SV71 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(389,plain,
! [SV72: $i] :
( ( ( ( SV72 != empty_set ) )
= $true )
| ( ( ! [SY166: $i] :
~ ( in @ SY166 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(390,plain,
! [SV94: $i,SV73: $i] :
( ( ~ ( subset @ SV73 @ SV94 )
| ~ ( subset @ SV94 @ SV73 )
| ( SV73 = SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(391,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(392,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(393,plain,
! [SV34: $i,SV53: $i] :
( ( ( ~ ( ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) ) )
= $false )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(394,plain,
! [SV34: $i,SV53: $i] :
( ( ( ~ ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) ) )
= $false )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(395,plain,
! [SV54: $i,SV37: $i,SV3: $i] :
( ( ( subset @ SV3 @ SV37 )
= $false )
| ( ( ~ ( subset @ SV3 @ SV54 ) )
= $true )
| ( ( subset @ SV3 @ ( set_intersection2 @ SV37 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(396,plain,
! [SV55: $i,SV38: $i,SV4: $i] :
( ( ( subset @ SV4 @ SV38 )
= $false )
| ( ( ~ ( subset @ SV38 @ SV55 ) )
= $true )
| ( ( subset @ SV4 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(397,plain,
! [SV56: $i,SV46: $i,SV14: $i] :
( ( ( subset @ SV14 @ SV46 )
= $false )
| ( ( ~ ( subset @ SV56 @ SV46 ) )
= $true )
| ( ( subset @ ( set_union2 @ SV14 @ SV56 ) @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(398,plain,
! [SV30: $i,SV52: $i] :
( ( ( empty @ SV52 )
= $false )
| ( ( SV30 = SV52 )
= $true )
| ( ( empty @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(399,plain,
! [SV76: $i,SV59: $i] :
( ( ( ( ( set_difference @ SV59 @ SV76 )
!= empty_set ) )
= $true )
| ( ( subset @ SV59 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(400,plain,
! [SV77: $i,SV60: $i] :
( ( ( ~ ( subset @ SV60 @ SV77 ) )
= $true )
| ( ( ( set_difference @ SV60 @ SV77 )
= empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(401,plain,
! [SV61: $i,SV78: $i] :
( ( ( ~ ( ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV61 )
| ~ ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV78 ) ) )
= $true )
| ( ( subset @ SV61 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(402,plain,
! [SV79: $i,SV62: $i] :
( ( ( ~ ( subset @ SV62 @ SV79 ) )
= $true )
| ( ( ! [SY168: $i] :
( ~ ( in @ SY168 @ SV62 )
| ( in @ SY168 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(403,plain,
! [SV80: $i,SV63: $i] :
( ( ( ( ( set_difference @ SV63 @ SV80 )
!= empty_set ) )
= $true )
| ( ( subset @ SV63 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(404,plain,
! [SV81: $i,SV64: $i] :
( ( ( ~ ( subset @ SV64 @ SV81 ) )
= $true )
| ( ( ( set_difference @ SV64 @ SV81 )
= empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(405,plain,
! [SV82: $i,SV65: $i] :
( ( ( disjoint @ SV65 @ SV82 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV65 )
| ~ ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV82 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(406,plain,
! [SV83: $i,SV66: $i] :
( ( ( ! [SY169: $i] :
( ~ ( in @ SY169 @ SV66 )
| ~ ( in @ SY169 @ SV83 ) ) )
= $true )
| ( ( ~ ( disjoint @ SV66 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(407,plain,
! [SV84: $i,SV67: $i] :
( ( ( disjoint @ SV67 @ SV84 )
= $true )
| ( ( in @ ( sK11_C @ SV84 @ SV67 ) @ ( set_intersection2 @ SV67 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(408,plain,
! [SV85: $i,SV68: $i] :
( ( ( ! [SY170: $i] :
~ ( in @ SY170 @ ( set_intersection2 @ SV68 @ SV85 ) ) )
= $true )
| ( ( ~ ( disjoint @ SV68 @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(409,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ~ ( ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) ) )
| ( SV95
= ( set_difference @ SV31 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(410,plain,
! [SV87: $i,SV31: $i,SV96: $i] :
( ( ( SV96
!= ( set_difference @ SV31 @ SV87 ) )
| ~ ( ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ SV31 )
| ( in @ SY186 @ SV87 )
| ( in @ SY186 @ SV96 ) )
| ~ ~ ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(411,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ~ ( ~ ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) ) )
| ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(412,plain,
! [SV89: $i,SV32: $i,SV98: $i] :
( ( ( SV98
!= ( set_intersection2 @ SV32 @ SV89 ) )
| ~ ( ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ SV32 )
| ~ ( in @ SY189 @ SV89 )
| ( in @ SY189 @ SV98 ) )
| ~ ~ ( ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(413,plain,
! [SV90: $i,SV69: $i] :
( ( ( ( ( set_intersection2 @ SV69 @ SV90 )
!= empty_set ) )
= $true )
| ( ( disjoint @ SV69 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(414,plain,
! [SV91: $i,SV70: $i] :
( ( ( ~ ( disjoint @ SV70 @ SV91 ) )
= $true )
| ( ( ( set_intersection2 @ SV70 @ SV91 )
= empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(415,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) )
| ~ ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) )
| ( SV99
= ( set_union2 @ SV33 @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(416,plain,
! [SV93: $i,SV33: $i,SV100: $i] :
( ( ( SV100
!= ( set_union2 @ SV33 @ SV93 ) )
| ~ ( ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ SV100 )
| ( in @ SY192 @ SV33 )
| ( in @ SY192 @ SV93 ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(417,plain,
! [SV72: $i] :
( ( ( SV72 = empty_set )
= $false )
| ( ( ! [SY166: $i] :
~ ( in @ SY166 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(418,plain,
! [SV94: $i,SV73: $i] :
( ( ( ~ ( subset @ SV73 @ SV94 )
| ~ ( subset @ SV94 @ SV73 ) )
= $true )
| ( ( SV73 = SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(419,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(420,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( subset @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(421,plain,
! [SV34: $i,SV53: $i] :
( ( ( ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) )
= $true )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(422,plain,
! [SV34: $i,SV53: $i] :
( ( ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
| ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) )
= $true )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(423,plain,
! [SV37: $i,SV54: $i,SV3: $i] :
( ( ( subset @ SV3 @ SV54 )
= $false )
| ( ( subset @ SV3 @ SV37 )
= $false )
| ( ( subset @ SV3 @ ( set_intersection2 @ SV37 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(424,plain,
! [SV4: $i,SV55: $i,SV38: $i] :
( ( ( subset @ SV38 @ SV55 )
= $false )
| ( ( subset @ SV4 @ SV38 )
= $false )
| ( ( subset @ SV4 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(425,plain,
! [SV14: $i,SV46: $i,SV56: $i] :
( ( ( subset @ SV56 @ SV46 )
= $false )
| ( ( subset @ SV14 @ SV46 )
= $false )
| ( ( subset @ ( set_union2 @ SV14 @ SV56 ) @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(426,plain,
! [SV76: $i,SV59: $i] :
( ( ( ( set_difference @ SV59 @ SV76 )
= empty_set )
= $false )
| ( ( subset @ SV59 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(427,plain,
! [SV77: $i,SV60: $i] :
( ( ( subset @ SV60 @ SV77 )
= $false )
| ( ( ( set_difference @ SV60 @ SV77 )
= empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(428,plain,
! [SV61: $i,SV78: $i] :
( ( ( ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV61 )
| ~ ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV78 ) )
= $false )
| ( ( subset @ SV61 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(429,plain,
! [SV79: $i,SV62: $i] :
( ( ( subset @ SV62 @ SV79 )
= $false )
| ( ( ! [SY168: $i] :
( ~ ( in @ SY168 @ SV62 )
| ( in @ SY168 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(430,plain,
! [SV80: $i,SV63: $i] :
( ( ( ( set_difference @ SV63 @ SV80 )
= empty_set )
= $false )
| ( ( subset @ SV63 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(431,plain,
! [SV81: $i,SV64: $i] :
( ( ( subset @ SV64 @ SV81 )
= $false )
| ( ( ( set_difference @ SV64 @ SV81 )
= empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(432,plain,
! [SV65: $i,SV82: $i] :
( ( ( ~ ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV65 )
| ~ ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV82 ) )
= $false )
| ( ( disjoint @ SV65 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(433,plain,
! [SV83: $i,SV66: $i,SV101: $i] :
( ( ( ~ ( in @ SV101 @ SV66 )
| ~ ( in @ SV101 @ SV83 ) )
= $true )
| ( ( ~ ( disjoint @ SV66 @ SV83 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(434,plain,
! [SV85: $i,SV68: $i,SV102: $i] :
( ( ( ~ ( in @ SV102 @ ( set_intersection2 @ SV68 @ SV85 ) ) )
= $true )
| ( ( ~ ( disjoint @ SV68 @ SV85 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(435,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) ) ) )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(436,plain,
! [SV87: $i,SV31: $i,SV96: $i] :
( ( ( ( SV96
!= ( set_difference @ SV31 @ SV87 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ SV31 )
| ( in @ SY186 @ SV87 )
| ( in @ SY186 @ SV96 ) )
| ~ ~ ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(437,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) ) ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(438,plain,
! [SV89: $i,SV32: $i,SV98: $i] :
( ( ( ( SV98
!= ( set_intersection2 @ SV32 @ SV89 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ SV32 )
| ~ ( in @ SY189 @ SV89 )
| ( in @ SY189 @ SV98 ) )
| ~ ~ ( ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(439,plain,
! [SV90: $i,SV69: $i] :
( ( ( ( set_intersection2 @ SV69 @ SV90 )
= empty_set )
= $false )
| ( ( disjoint @ SV69 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(440,plain,
! [SV91: $i,SV70: $i] :
( ( ( disjoint @ SV70 @ SV91 )
= $false )
| ( ( ( set_intersection2 @ SV70 @ SV91 )
= empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(441,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) )
| ~ ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(442,plain,
! [SV93: $i,SV33: $i,SV100: $i] :
( ( ( ( SV100
!= ( set_union2 @ SV33 @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ SV100 )
| ( in @ SY192 @ SV33 )
| ( in @ SY192 @ SV93 ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(443,plain,
! [SV72: $i,SV103: $i] :
( ( ( ~ ( in @ SV103 @ SV72 ) )
= $true )
| ( ( SV72 = empty_set )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(444,plain,
! [SV94: $i,SV73: $i] :
( ( ( ~ ( subset @ SV73 @ SV94 ) )
= $true )
| ( ( ~ ( subset @ SV94 @ SV73 ) )
= $true )
| ( ( SV73 = SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(445,plain,
! [SV104: $i] :
( ( ! [SY195: $i] :
( ( SV104 != SY195 )
| ( subset @ SV104 @ SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(446,plain,
! [SV105: $i] :
( ( ! [SY196: $i] :
( ( SV105 != SY196 )
| ( subset @ SY196 @ SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(447,plain,
! [SV34: $i,SV53: $i] :
( ( ( ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 ) )
= $true )
| ( ( ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) )
= $true )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(448,plain,
! [SV34: $i,SV53: $i] :
( ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
= $true )
| ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 )
= $true )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(449,plain,
! [SV61: $i,SV78: $i] :
( ( ( ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV61 ) )
= $false )
| ( ( subset @ SV61 @ SV78 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(450,plain,
! [SV61: $i,SV78: $i] :
( ( ( ~ ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV78 ) )
= $false )
| ( ( subset @ SV61 @ SV78 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(451,plain,
! [SV79: $i,SV62: $i,SV106: $i] :
( ( ( ~ ( in @ SV106 @ SV62 )
| ( in @ SV106 @ SV79 ) )
= $true )
| ( ( subset @ SV62 @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(452,plain,
! [SV65: $i,SV82: $i] :
( ( ( ~ ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV65 ) )
= $false )
| ( ( disjoint @ SV65 @ SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(453,plain,
! [SV65: $i,SV82: $i] :
( ( ( ~ ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV82 ) )
= $false )
| ( ( disjoint @ SV65 @ SV82 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(454,plain,
! [SV83: $i,SV66: $i,SV101: $i] :
( ( ( ~ ( in @ SV101 @ SV66 ) )
= $true )
| ( ( ~ ( in @ SV101 @ SV83 ) )
= $true )
| ( ( ~ ( disjoint @ SV66 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(455,plain,
! [SV85: $i,SV68: $i,SV102: $i] :
( ( ( in @ SV102 @ ( set_intersection2 @ SV68 @ SV85 ) )
= $false )
| ( ( ~ ( disjoint @ SV68 @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(456,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) ) )
= $false )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(457,plain,
! [SV87: $i,SV31: $i,SV96: $i] :
( ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false )
| ( ( ~ ( ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ SV31 )
| ( in @ SY186 @ SV87 )
| ( in @ SY186 @ SV96 ) )
| ~ ~ ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(458,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ~ ( ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) ) )
= $false )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(459,plain,
! [SV89: $i,SV32: $i,SV98: $i] :
( ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false )
| ( ( ~ ( ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ SV32 )
| ~ ( in @ SY189 @ SV89 )
| ( in @ SY189 @ SV98 ) )
| ~ ~ ( ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(460,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) )
| ~ ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) )
= $false )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(461,plain,
! [SV93: $i,SV33: $i,SV100: $i] :
( ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false )
| ( ( ~ ( ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ SV100 )
| ( in @ SY192 @ SV33 )
| ( in @ SY192 @ SV93 ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(462,plain,
! [SV72: $i,SV103: $i] :
( ( ( in @ SV103 @ SV72 )
= $false )
| ( ( SV72 = empty_set )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(463,plain,
! [SV94: $i,SV73: $i] :
( ( ( subset @ SV73 @ SV94 )
= $false )
| ( ( ~ ( subset @ SV94 @ SV73 ) )
= $true )
| ( ( SV73 = SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(464,plain,
! [SV107: $i,SV104: $i] :
( ( ( SV104 != SV107 )
| ( subset @ SV104 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(465,plain,
! [SV108: $i,SV105: $i] :
( ( ( SV105 != SV108 )
| ( subset @ SV108 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(466,plain,
! [SV34: $i,SV53: $i] :
( ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
= $false )
| ( ( ~ ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 ) )
= $true )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(467,plain,
! [SV61: $i,SV78: $i] :
( ( ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV61 )
= $true )
| ( ( subset @ SV61 @ SV78 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(468,plain,
! [SV61: $i,SV78: $i] :
( ( ( ~ ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV78 ) )
= $true )
| ( ( subset @ SV61 @ SV78 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(469,plain,
! [SV79: $i,SV62: $i,SV106: $i] :
( ( ( ~ ( in @ SV106 @ SV62 ) )
= $true )
| ( ( in @ SV106 @ SV79 )
= $true )
| ( ( subset @ SV62 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(470,plain,
! [SV65: $i,SV82: $i] :
( ( ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV65 )
= $true )
| ( ( disjoint @ SV65 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(471,plain,
! [SV65: $i,SV82: $i] :
( ( ( in @ ( sK12_C @ SV82 @ SV65 ) @ SV82 )
= $true )
| ( ( disjoint @ SV65 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(472,plain,
! [SV83: $i,SV66: $i,SV101: $i] :
( ( ( in @ SV101 @ SV66 )
= $false )
| ( ( ~ ( in @ SV101 @ SV83 ) )
= $true )
| ( ( ~ ( disjoint @ SV66 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(473,plain,
! [SV102: $i,SV85: $i,SV68: $i] :
( ( ( disjoint @ SV68 @ SV85 )
= $false )
| ( ( in @ SV102 @ ( set_intersection2 @ SV68 @ SV85 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(474,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) )
= $false )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(475,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ~ ( ~ ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) ) )
= $false )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(476,plain,
! [SV96: $i,SV87: $i,SV31: $i] :
( ( ( ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ SV31 )
| ( in @ SY186 @ SV87 )
| ( in @ SY186 @ SV96 ) )
| ~ ~ ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) ) )
= $false )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(477,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) )
= $false )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(478,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ~ ( ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) ) )
= $false )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[458]) ).
thf(479,plain,
! [SV98: $i,SV89: $i,SV32: $i] :
( ( ( ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ SV32 )
| ~ ( in @ SY189 @ SV89 )
| ( in @ SY189 @ SV98 ) )
| ~ ~ ( ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) ) )
= $false )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(480,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ~ ( ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) ) )
= $false )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(481,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) )
= $false )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(482,plain,
! [SV93: $i,SV33: $i,SV100: $i] :
( ( ( ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ SV100 )
| ( in @ SY192 @ SV33 )
| ( in @ SY192 @ SV93 ) )
| ~ ~ ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) ) )
= $false )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(483,plain,
! [SV73: $i,SV94: $i] :
( ( ( subset @ SV94 @ SV73 )
= $false )
| ( ( subset @ SV73 @ SV94 )
= $false )
| ( ( SV73 = SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(484,plain,
! [SV107: $i,SV104: $i] :
( ( ( ( SV104 != SV107 ) )
= $true )
| ( ( subset @ SV104 @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(485,plain,
! [SV108: $i,SV105: $i] :
( ( ( ( SV105 != SV108 ) )
= $true )
| ( ( subset @ SV108 @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(486,plain,
! [SV34: $i,SV53: $i] :
( ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV53 )
= $false )
| ( ( in @ ( sK3_C @ SV53 @ SV34 ) @ SV34 )
= $false )
| ( ( SV34 = SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(487,plain,
! [SV61: $i,SV78: $i] :
( ( ( in @ ( sK8_C @ SV78 @ SV61 ) @ SV78 )
= $false )
| ( ( subset @ SV61 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(488,plain,
! [SV79: $i,SV62: $i,SV106: $i] :
( ( ( in @ SV106 @ SV62 )
= $false )
| ( ( in @ SV106 @ SV79 )
= $true )
| ( ( subset @ SV62 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(489,plain,
! [SV66: $i,SV83: $i,SV101: $i] :
( ( ( in @ SV101 @ SV83 )
= $false )
| ( ( in @ SV101 @ SV66 )
= $false )
| ( ( ~ ( disjoint @ SV66 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(490,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(491,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( ~ ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) ) )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(492,plain,
! [SV96: $i,SV87: $i,SV31: $i] :
( ( ( ~ ! [SY186: $i] :
( ~ ( in @ SY186 @ SV31 )
| ( in @ SY186 @ SV87 )
| ( in @ SY186 @ SV96 ) ) )
= $false )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(493,plain,
! [SV87: $i,SV31: $i,SV96: $i] :
( ( ( ~ ~ ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) ) )
= $false )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(494,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(495,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(496,plain,
! [SV98: $i,SV89: $i,SV32: $i] :
( ( ( ~ ! [SY189: $i] :
( ~ ( in @ SY189 @ SV32 )
| ~ ( in @ SY189 @ SV89 )
| ( in @ SY189 @ SV98 ) ) )
= $false )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(497,plain,
! [SV89: $i,SV32: $i,SV98: $i] :
( ( ( ~ ~ ( ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) ) )
= $false )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(498,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(499,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(500,plain,
! [SV93: $i,SV33: $i,SV100: $i] :
( ( ( ~ ! [SY192: $i] :
( ~ ( in @ SY192 @ SV100 )
| ( in @ SY192 @ SV33 )
| ( in @ SY192 @ SV93 ) ) )
= $false )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(501,plain,
! [SV93: $i,SV100: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) ) )
= $false )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(502,plain,
! [SV107: $i,SV104: $i] :
( ( ( SV104 = SV107 )
= $false )
| ( ( subset @ SV104 @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(503,plain,
! [SV108: $i,SV105: $i] :
( ( ( SV105 = SV108 )
= $false )
| ( ( subset @ SV108 @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(504,plain,
! [SV101: $i,SV83: $i,SV66: $i] :
( ( ( disjoint @ SV66 @ SV83 )
= $false )
| ( ( in @ SV101 @ SV66 )
= $false )
| ( ( in @ SV101 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(505,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(506,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
| ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) )
= $false )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(507,plain,
! [SV96: $i,SV87: $i,SV31: $i] :
( ( ( ! [SY186: $i] :
( ~ ( in @ SY186 @ SV31 )
| ( in @ SY186 @ SV87 )
| ( in @ SY186 @ SV96 ) ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(508,plain,
! [SV87: $i,SV31: $i,SV96: $i] :
( ( ( ~ ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(509,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 ) )
= $true )
| ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(510,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
| ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) )
= $false )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(511,plain,
! [SV98: $i,SV89: $i,SV32: $i] :
( ( ( ! [SY189: $i] :
( ~ ( in @ SY189 @ SV32 )
| ~ ( in @ SY189 @ SV89 )
| ( in @ SY189 @ SV98 ) ) )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(512,plain,
! [SV89: $i,SV32: $i,SV98: $i] :
( ( ( ~ ( ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) ) )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(513,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
| ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) )
= $false )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(514,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
= $true )
| ( ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 )
| ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(515,plain,
! [SV93: $i,SV33: $i,SV100: $i] :
( ( ( ! [SY192: $i] :
( ~ ( in @ SY192 @ SV100 )
| ( in @ SY192 @ SV33 )
| ( in @ SY192 @ SV93 ) ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(516,plain,
! [SV93: $i,SV100: $i,SV33: $i] :
( ( ( ~ ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(517,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 ) )
= $true )
| ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(518,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) )
= $false )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(519,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) ) )
= $false )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(520,plain,
! [SV96: $i,SV87: $i,SV31: $i,SV109: $i] :
( ( ( ~ ( in @ SV109 @ SV31 )
| ( in @ SV109 @ SV87 )
| ( in @ SV109 @ SV96 ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(521,plain,
! [SV87: $i,SV31: $i,SV96: $i] :
( ( ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) )
| ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) )
= $false )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(522,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 ) )
= $true )
| ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 ) )
= $true )
| ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(523,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) )
= $false )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(524,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ~ ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) ) )
= $false )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(525,plain,
! [SV98: $i,SV89: $i,SV32: $i,SV110: $i] :
( ( ( ~ ( in @ SV110 @ SV32 )
| ~ ( in @ SV110 @ SV89 )
| ( in @ SV110 @ SV98 ) )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(526,plain,
! [SV89: $i,SV32: $i,SV98: $i] :
( ( ( ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) )
| ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) )
= $false )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(527,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) ) )
= $false )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(528,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) ) )
= $false )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(529,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 )
= $true )
| ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 )
= $true )
| ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(530,plain,
! [SV93: $i,SV33: $i,SV100: $i,SV111: $i] :
( ( ( ~ ( in @ SV111 @ SV100 )
| ( in @ SV111 @ SV33 )
| ( in @ SV111 @ SV93 ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(531,plain,
! [SV93: $i,SV100: $i,SV33: $i] :
( ( ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) )
| ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) )
= $false )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(532,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
= $false )
| ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(533,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(534,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
| ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 ) )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(535,plain,
! [SV96: $i,SV87: $i,SV31: $i,SV109: $i] :
( ( ( ~ ( in @ SV109 @ SV31 )
| ( in @ SV109 @ SV87 ) )
= $true )
| ( ( in @ SV109 @ SV96 )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(536,plain,
! [SV87: $i,SV31: $i,SV96: $i] :
( ( ( ~ ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) ) )
= $false )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(537,plain,
! [SV31: $i,SV87: $i,SV96: $i] :
( ( ( ~ ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) )
= $false )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(538,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
= $false )
| ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 ) )
= $true )
| ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(539,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(540,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
| ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(541,plain,
! [SV98: $i,SV89: $i,SV32: $i,SV110: $i] :
( ( ( ~ ( in @ SV110 @ SV32 )
| ~ ( in @ SV110 @ SV89 ) )
= $true )
| ( ( in @ SV110 @ SV98 )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(542,plain,
! [SV89: $i,SV32: $i,SV98: $i] :
( ( ( ~ ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) ) )
= $false )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(543,plain,
! [SV32: $i,SV89: $i,SV98: $i] :
( ( ( ~ ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) )
= $false )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(544,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(545,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
| ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(546,plain,
! [SV93: $i,SV33: $i,SV100: $i,SV111: $i] :
( ( ( ~ ( in @ SV111 @ SV100 ) )
= $true )
| ( ( ( in @ SV111 @ SV33 )
| ( in @ SV111 @ SV93 ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(547,plain,
! [SV93: $i,SV100: $i,SV33: $i] :
( ( ( ~ ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) ) )
= $false )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(548,plain,
! [SV33: $i,SV100: $i,SV93: $i] :
( ( ( ~ ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) )
= $false )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(549,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 )
= $false )
| ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
= $true )
| ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
= $false )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(550,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV31 )
= $true )
| ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(551,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 ) )
= $true )
| ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(552,plain,
! [SV96: $i,SV87: $i,SV31: $i,SV109: $i] :
( ( ( ~ ( in @ SV109 @ SV31 ) )
= $true )
| ( ( in @ SV109 @ SV87 )
= $true )
| ( ( in @ SV109 @ SV96 )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(553,plain,
! [SV87: $i,SV31: $i,SV96: $i] :
( ( ( ! [SY187: $i] :
( ~ ( in @ SY187 @ SV96 )
| ( in @ SY187 @ SV31 ) ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(554,plain,
! [SV31: $i,SV87: $i,SV96: $i] :
( ( ( ! [SY188: $i] :
( ~ ( in @ SY188 @ SV96 )
| ~ ( in @ SY188 @ SV87 ) ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(555,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
= $false )
| ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
= $false )
| ( ( ~ ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 ) )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(556,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
= $true )
| ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(557,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
= $true )
| ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 )
= $true )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(558,plain,
! [SV98: $i,SV89: $i,SV32: $i,SV110: $i] :
( ( ( ~ ( in @ SV110 @ SV32 ) )
= $true )
| ( ( ~ ( in @ SV110 @ SV89 ) )
= $true )
| ( ( in @ SV110 @ SV98 )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(559,plain,
! [SV89: $i,SV32: $i,SV98: $i] :
( ( ( ! [SY190: $i] :
( ~ ( in @ SY190 @ SV98 )
| ( in @ SY190 @ SV32 ) ) )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(560,plain,
! [SV32: $i,SV89: $i,SV98: $i] :
( ( ( ! [SY191: $i] :
( ~ ( in @ SY191 @ SV98 )
| ( in @ SY191 @ SV89 ) ) )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(561,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 ) )
= $true )
| ( ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(562,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 ) )
= $true )
| ( ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(563,plain,
! [SV93: $i,SV33: $i,SV100: $i,SV111: $i] :
( ( ( in @ SV111 @ SV100 )
= $false )
| ( ( ( in @ SV111 @ SV33 )
| ( in @ SV111 @ SV93 ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(564,plain,
! [SV93: $i,SV100: $i,SV33: $i] :
( ( ( ! [SY193: $i] :
( ~ ( in @ SY193 @ SV33 )
| ( in @ SY193 @ SV100 ) ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(565,plain,
! [SV33: $i,SV100: $i,SV93: $i] :
( ( ( ! [SY194: $i] :
( ~ ( in @ SY194 @ SV93 )
| ( in @ SY194 @ SV100 ) ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(566,plain,
! [SV31: $i,SV86: $i,SV95: $i] :
( ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV86 )
= $false )
| ( ( in @ ( sK6_D @ SV95 @ SV86 @ SV31 ) @ SV95 )
= $true )
| ( ( SV95
= ( set_difference @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(567,plain,
! [SV96: $i,SV87: $i,SV31: $i,SV109: $i] :
( ( ( in @ SV109 @ SV31 )
= $false )
| ( ( in @ SV109 @ SV87 )
= $true )
| ( ( in @ SV109 @ SV96 )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(568,plain,
! [SV87: $i,SV31: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( in @ SV112 @ SV96 )
| ( in @ SV112 @ SV31 ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(569,plain,
! [SV31: $i,SV87: $i,SV96: $i,SV113: $i] :
( ( ( ~ ( in @ SV113 @ SV96 )
| ~ ( in @ SV113 @ SV87 ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(570,plain,
! [SV32: $i,SV88: $i,SV97: $i] :
( ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV97 )
= $false )
| ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV32 )
= $false )
| ( ( in @ ( sK7_D @ SV97 @ SV88 @ SV32 ) @ SV88 )
= $false )
| ( ( SV97
= ( set_intersection2 @ SV32 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(571,plain,
! [SV98: $i,SV89: $i,SV32: $i,SV110: $i] :
( ( ( in @ SV110 @ SV32 )
= $false )
| ( ( ~ ( in @ SV110 @ SV89 ) )
= $true )
| ( ( in @ SV110 @ SV98 )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(572,plain,
! [SV89: $i,SV32: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( in @ SV114 @ SV98 )
| ( in @ SV114 @ SV32 ) )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(573,plain,
! [SV32: $i,SV89: $i,SV98: $i,SV115: $i] :
( ( ( ~ ( in @ SV115 @ SV98 )
| ( in @ SV115 @ SV89 ) )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(574,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
= $false )
| ( ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(575,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
= $false )
| ( ( ~ ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 ) )
= $true )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(576,plain,
! [SV100: $i,SV93: $i,SV33: $i,SV111: $i] :
( ( ( in @ SV111 @ SV33 )
= $true )
| ( ( in @ SV111 @ SV93 )
= $true )
| ( ( in @ SV111 @ SV100 )
= $false )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[563]) ).
thf(577,plain,
! [SV93: $i,SV100: $i,SV33: $i,SV116: $i] :
( ( ( ~ ( in @ SV116 @ SV33 )
| ( in @ SV116 @ SV100 ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(578,plain,
! [SV33: $i,SV100: $i,SV93: $i,SV117: $i] :
( ( ( ~ ( in @ SV117 @ SV93 )
| ( in @ SV117 @ SV100 ) )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(579,plain,
! [SV87: $i,SV31: $i,SV96: $i,SV112: $i] :
( ( ( ~ ( in @ SV112 @ SV96 ) )
= $true )
| ( ( in @ SV112 @ SV31 )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(580,plain,
! [SV31: $i,SV87: $i,SV96: $i,SV113: $i] :
( ( ( ~ ( in @ SV113 @ SV96 ) )
= $true )
| ( ( ~ ( in @ SV113 @ SV87 ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(581,plain,
! [SV98: $i,SV32: $i,SV89: $i,SV110: $i] :
( ( ( in @ SV110 @ SV89 )
= $false )
| ( ( in @ SV110 @ SV32 )
= $false )
| ( ( in @ SV110 @ SV98 )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(582,plain,
! [SV89: $i,SV32: $i,SV98: $i,SV114: $i] :
( ( ( ~ ( in @ SV114 @ SV98 ) )
= $true )
| ( ( in @ SV114 @ SV32 )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(583,plain,
! [SV32: $i,SV89: $i,SV98: $i,SV115: $i] :
( ( ( ~ ( in @ SV115 @ SV98 ) )
= $true )
| ( ( in @ SV115 @ SV89 )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(584,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV33 )
= $false )
| ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
= $false )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(585,plain,
! [SV33: $i,SV92: $i,SV99: $i] :
( ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( in @ ( sK9_D @ SV99 @ SV92 @ SV33 ) @ SV99 )
= $false )
| ( ( SV99
= ( set_union2 @ SV33 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(586,plain,
! [SV93: $i,SV100: $i,SV33: $i,SV116: $i] :
( ( ( ~ ( in @ SV116 @ SV33 ) )
= $true )
| ( ( in @ SV116 @ SV100 )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(587,plain,
! [SV33: $i,SV100: $i,SV93: $i,SV117: $i] :
( ( ( ~ ( in @ SV117 @ SV93 ) )
= $true )
| ( ( in @ SV117 @ SV100 )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(588,plain,
! [SV87: $i,SV31: $i,SV96: $i,SV112: $i] :
( ( ( in @ SV112 @ SV96 )
= $false )
| ( ( in @ SV112 @ SV31 )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(589,plain,
! [SV31: $i,SV87: $i,SV96: $i,SV113: $i] :
( ( ( in @ SV113 @ SV96 )
= $false )
| ( ( ~ ( in @ SV113 @ SV87 ) )
= $true )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(590,plain,
! [SV89: $i,SV32: $i,SV98: $i,SV114: $i] :
( ( ( in @ SV114 @ SV98 )
= $false )
| ( ( in @ SV114 @ SV32 )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(591,plain,
! [SV32: $i,SV89: $i,SV98: $i,SV115: $i] :
( ( ( in @ SV115 @ SV98 )
= $false )
| ( ( in @ SV115 @ SV89 )
= $true )
| ( ( SV98
= ( set_intersection2 @ SV32 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(592,plain,
! [SV93: $i,SV100: $i,SV33: $i,SV116: $i] :
( ( ( in @ SV116 @ SV33 )
= $false )
| ( ( in @ SV116 @ SV100 )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(593,plain,
! [SV33: $i,SV100: $i,SV93: $i,SV117: $i] :
( ( ( in @ SV117 @ SV93 )
= $false )
| ( ( in @ SV117 @ SV100 )
= $true )
| ( ( SV100
= ( set_union2 @ SV33 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(594,plain,
! [SV31: $i,SV96: $i,SV87: $i,SV113: $i] :
( ( ( in @ SV113 @ SV87 )
= $false )
| ( ( in @ SV113 @ SV96 )
= $false )
| ( ( SV96
= ( set_difference @ SV31 @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(595,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[167,594,593,592,591,590,588,585,584,581,576,570,567,566,557,556,550,549,529,504,503,502,488,487,486,483,473,471,470,467,462,448,440,439,431,430,427,426,425,424,423,407,398,388,368,367,365,364,336,335,334,330,326,300,294,261,260,257,256,254,253,247,233,229,228,227,226,224,223,222,221,208,188,176,171,170,169,168]) ).
thf(596,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[595]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.07 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.08/0.26 % Computer : n004.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 600
% 0.08/0.26 % DateTime : Mon Jun 20 09:04:53 EDT 2022
% 0.08/0.26 % CPUTime :
% 0.12/0.27 .
% 0.12/0.27
% 0.12/0.27 No.of.Axioms: 49
% 0.12/0.27
% 0.12/0.27 Length.of.Defs: 0
% 0.12/0.27
% 0.12/0.27 Contains.Choice.Funs: false
% 0.12/0.28 .
% 0.12/0.29 (rf:0,axioms:49,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:51,loop_count:0,foatp_calls:0,translation:fof_full).......................................
% 0.12/0.52
% 0.12/0.52 ********************************
% 0.12/0.52 * All subproblems solved! *
% 0.12/0.52 ********************************
% 0.12/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:50,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:595,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.47/0.67
% 0.47/0.67 %**** Beginning of derivation protocol ****
% 0.47/0.67 % SZS output start CNFRefutation
% See solution above
% 0.47/0.68
% 0.47/0.68 %**** End of derivation protocol ****
% 0.47/0.68 %**** no. of clauses in derivation: 596 ****
% 0.47/0.68 %**** clause counter: 595 ****
% 0.47/0.68
% 0.47/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:50,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:595,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------