TSTP Solution File: SEU121+2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU121+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 : n007.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 12:06:48 EDT 2022
% Result : Theorem 0.80s 0.98s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 36
% Syntax : Number of formulae : 270 ( 149 unt; 16 typ; 0 def)
% Number of atoms : 1510 ( 488 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 3108 ( 564 ~; 464 |; 54 &;2002 @)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 651 ( 0 ^ 643 !; 8 ?; 651 :)
% 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_C,type,
sK10_C: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY39,type,
sK2_SY39: $i ).
thf(tp_sK3_SY41,type,
sK3_SY41: $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_C,type,
sK7_C: $i > $i > $i ).
thf(tp_sK8_B,type,
sK8_B: $i > $i ).
thf(tp_sK9_C,type,
sK9_C: $i > $i > $i ).
thf(tp_set_intersection2,type,
set_intersection2: $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/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
thf(2,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
thf(3,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
thf(5,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(6,axiom,
? [A: $i] :
~ ( empty @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
thf(7,axiom,
? [A: $i] : ( empty @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
thf(9,axiom,
empty @ empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
thf(10,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_xboole_0) ).
thf(11,axiom,
$true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_xboole_0) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
thf(13,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/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
thf(15,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
thf(18,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/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).
thf(19,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/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
thf(20,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
thf(21,negated_conjecture,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[20]) ).
thf(22,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) )
= $false ),
inference(unfold_def,[status(thm)],[21]) ).
thf(23,plain,
( ( ! [A: $i,B: $i] :
~ ( ( empty @ A )
& ( A != B )
& ( empty @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(24,plain,
( ( ! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(25,plain,
( ( ! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(27,plain,
( ( ! [A: $i,B: $i] : ( subset @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(28,plain,
( ( ? [A: $i] :
~ ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(29,plain,
( ( ? [A: $i] : ( empty @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(31,plain,
( ( empty @ empty_set )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(32,plain,
$true = $true,
inference(unfold_def,[status(thm)],[10]) ).
thf(33,plain,
$true = $true,
inference(unfold_def,[status(thm)],[11]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(35,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)],[13]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(37,plain,
( ( ! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(40,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)],[18]) ).
thf(41,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)],[19]) ).
thf(42,plain,
( ( ! [SY39: $i,SY40: $i] :
( ( ( subset @ sK1_A @ SY39 )
& ( subset @ SY39 @ SY40 ) )
=> ( subset @ sK1_A @ SY40 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(43,plain,
( ( ! [SY41: $i] :
( ( ( subset @ sK1_A @ sK2_SY39 )
& ( subset @ sK2_SY39 @ SY41 ) )
=> ( subset @ sK1_A @ SY41 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[42]) ).
thf(44,plain,
( ( ( ( subset @ sK1_A @ sK2_SY39 )
& ( subset @ sK2_SY39 @ sK3_SY41 ) )
=> ( subset @ sK1_A @ sK3_SY41 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(45,plain,
( ( subset @ sK1_A @ sK2_SY39 )
= $true ),
inference(standard_cnf,[status(thm)],[44]) ).
thf(46,plain,
( ( subset @ sK2_SY39 @ sK3_SY41 )
= $true ),
inference(standard_cnf,[status(thm)],[44]) ).
thf(47,plain,
( ( subset @ sK1_A @ sK3_SY41 )
= $false ),
inference(standard_cnf,[status(thm)],[44]) ).
thf(48,plain,
( ( ~ ( subset @ sK1_A @ sK3_SY41 ) )
= $true ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(51,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(53,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(54,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(55,plain,
( ( empty @ sK5_A )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(56,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(57,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)],[34]) ).
thf(58,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_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)],[35]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK7_C @ B @ A ) @ A )
& ~ ( in @ ( sK7_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)],[36]) ).
thf(60,plain,
( ( ! [A: $i] :
( ( in @ ( sK8_B @ A ) @ A )
| ( A = empty_set ) )
& ! [A: $i] :
( ( A != empty_set )
| ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(61,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( in @ ( sK9_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)],[40]) ).
thf(63,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( ( in @ ( sK10_C @ B @ A ) @ A )
& ( in @ ( sK10_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)],[41]) ).
thf(64,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( ( in @ ( sK10_C @ B @ A ) @ A )
& ( in @ ( sK10_C @ B @ A ) @ B ) ) )
& ! [A: $i,B: $i] :
( ! [C: $i] :
( ~ ( in @ C @ A )
| ~ ( in @ C @ B ) )
| ~ ( disjoint @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( disjoint @ A @ B )
| ( in @ ( sK9_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)],[62]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ~ ( in @ A @ B )
| ~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(68,plain,
( ( ! [A: $i] :
( ( in @ ( sK8_B @ A ) @ A )
| ( A = empty_set ) )
& ! [A: $i] :
( ( A != empty_set )
| ! [B: $i] :
~ ( in @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(69,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK7_C @ B @ A ) @ A )
& ~ ( in @ ( sK7_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)],[59]) ).
thf(70,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_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)],[58]) ).
thf(71,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)],[57]) ).
thf(72,plain,
$true = $true,
inference(copy,[status(thm)],[33]) ).
thf(73,plain,
$true = $true,
inference(copy,[status(thm)],[32]) ).
thf(74,plain,
( ( empty @ empty_set )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(75,plain,
( ( ! [A: $i] :
( ( set_intersection2 @ A @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(76,plain,
( ( empty @ sK5_A )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(77,plain,
( ( ~ ( empty @ sK4_A ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(78,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ~ ( disjoint @ A @ B )
| ( disjoint @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(80,plain,
( ( ! [A: $i] :
( ~ ( empty @ A )
| ( A = empty_set ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ~ ( empty @ B )
| ~ ( in @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
| ~ ( empty @ A )
| ~ ( empty @ B ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(83,plain,
( ( subset @ sK2_SY39 @ sK3_SY41 )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(84,plain,
( ( subset @ sK1_A @ sK2_SY39 )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(85,plain,
( ( ~ ( subset @ sK1_A @ sK3_SY41 ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(86,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ~ ( ~ ( in @ ( sK10_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK10_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)],[64]) ).
thf(87,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK9_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)],[65]) ).
thf(88,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)],[71]) ).
thf(89,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( in @ ( sK8_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) )
| ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(90,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_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)],[70]) ).
thf(91,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK7_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK7_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)],[69]) ).
thf(92,plain,
! [SV1: $i] :
( ( ! [SY42: $i] :
( ~ ( in @ SV1 @ SY42 )
| ~ ( in @ SY42 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(93,plain,
! [SV2: $i] :
( ( ! [SY43: $i] :
( ( set_intersection2 @ SV2 @ SY43 )
= ( set_intersection2 @ SY43 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(94,plain,
! [SV3: $i] :
( ( ( set_intersection2 @ SV3 @ SV3 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(95,plain,
( ( empty @ sK4_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(96,plain,
! [SV4: $i] :
( ( subset @ SV4 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(97,plain,
! [SV5: $i] :
( ( ! [SY44: $i] :
( ~ ( disjoint @ SV5 @ SY44 )
| ( disjoint @ SY44 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(98,plain,
! [SV6: $i] :
( ( ~ ( empty @ SV6 )
| ( SV6 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(99,plain,
! [SV7: $i] :
( ( ! [SY45: $i] :
( ~ ( empty @ SY45 )
| ~ ( in @ SV7 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(100,plain,
! [SV8: $i] :
( ( ! [SY46: $i] :
( ( SV8 = SY46 )
| ~ ( empty @ SV8 )
| ~ ( empty @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(101,plain,
( ( subset @ sK1_A @ sK3_SY41 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(102,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ~ ( ~ ( in @ ( sK10_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK10_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)],[86]) ).
thf(103,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK9_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)],[87]) ).
thf(104,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)],[88]) ).
thf(105,plain,
( ( ~ ! [SX0: $i] :
( ( in @ ( sK8_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) )
| ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(106,plain,
! [SV9: $i] :
( ( ~ ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY47 )
| ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) )
| ~ ( ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY47 )
| ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) ) ) )
| ( SY48
= ( set_intersection2 @ SV9 @ SY47 ) ) )
| ~ ! [SY49: $i,SY50: $i] :
( ( SY50
!= ( set_intersection2 @ SV9 @ SY49 ) )
| ~ ( ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ SV9 )
| ~ ( in @ SY51 @ SY49 )
| ( in @ SY51 @ SY50 ) )
| ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SY50 )
| ( in @ SY52 @ SV9 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY50 )
| ( in @ SX3 @ SY49 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(107,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK7_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK7_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)],[91]) ).
thf(108,plain,
! [SV10: $i,SV1: $i] :
( ( ~ ( in @ SV1 @ SV10 )
| ~ ( in @ SV10 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(109,plain,
! [SV11: $i,SV2: $i] :
( ( ( set_intersection2 @ SV2 @ SV11 )
= ( set_intersection2 @ SV11 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(110,plain,
! [SV12: $i,SV5: $i] :
( ( ~ ( disjoint @ SV5 @ SV12 )
| ( disjoint @ SV12 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV6: $i] :
( ( ( ~ ( empty @ SV6 ) )
= $true )
| ( ( SV6 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV7: $i,SV13: $i] :
( ( ~ ( empty @ SV13 )
| ~ ( in @ SV7 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(113,plain,
! [SV14: $i,SV8: $i] :
( ( ( SV8 = SV14 )
| ~ ( empty @ SV8 )
| ~ ( empty @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(114,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ~ ( ~ ( in @ ( sK10_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK10_C @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(115,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX2 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(116,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK9_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(117,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(118,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(119,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(120,plain,
( ( ~ ! [SX0: $i] :
( ( in @ ( sK8_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(121,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(122,plain,
! [SV9: $i] :
( ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY47 )
| ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) )
| ~ ( ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY47 )
| ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) ) ) )
| ( SY48
= ( set_intersection2 @ SV9 @ SY47 ) ) )
| ~ ! [SY49: $i,SY50: $i] :
( ( SY50
!= ( set_intersection2 @ SV9 @ SY49 ) )
| ~ ( ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ SV9 )
| ~ ( in @ SY51 @ SY49 )
| ( in @ SY51 @ SY50 ) )
| ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SY50 )
| ( in @ SY52 @ SV9 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY50 )
| ( in @ SX3 @ SY49 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(123,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK7_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(124,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(125,plain,
! [SV10: $i,SV1: $i] :
( ( ( ~ ( in @ SV1 @ SV10 ) )
= $true )
| ( ( ~ ( in @ SV10 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(126,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( disjoint @ SV5 @ SV12 ) )
= $true )
| ( ( disjoint @ SV12 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(127,plain,
! [SV6: $i] :
( ( ( empty @ SV6 )
= $false )
| ( ( SV6 = empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(128,plain,
! [SV7: $i,SV13: $i] :
( ( ( ~ ( empty @ SV13 ) )
= $true )
| ( ( ~ ( in @ SV7 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(129,plain,
! [SV14: $i,SV8: $i] :
( ( ( ( SV8 = SV14 )
| ~ ( empty @ SV8 ) )
= $true )
| ( ( ~ ( empty @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(130,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ~ ( ~ ( in @ ( sK10_C @ SX1 @ SX0 ) @ SX0 )
| ~ ( in @ ( sK10_C @ SX1 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(131,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( in @ SX2 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(132,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( disjoint @ SX0 @ SX1 )
| ( in @ ( sK9_C @ SX1 @ SX0 ) @ ( set_intersection2 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(133,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( in @ SX2 @ ( set_intersection2 @ SX0 @ SX1 ) )
| ~ ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(134,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( set_intersection2 @ SX0 @ SX1 )
!= empty_set )
| ( disjoint @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(135,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( disjoint @ SX0 @ SX1 )
| ( ( set_intersection2 @ SX0 @ SX1 )
= empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(136,plain,
( ( ! [SX0: $i] :
( ( in @ ( sK8_B @ SX0 ) @ SX0 )
| ( SX0 = empty_set ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(137,plain,
( ( ! [SX0: $i] :
( ( SX0 != empty_set )
| ! [SX1: $i] :
~ ( in @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(138,plain,
! [SV9: $i] :
( ( ~ ! [SY47: $i,SY48: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY47 )
| ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) )
| ~ ( ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY47 )
| ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) ) ) )
| ( SY48
= ( set_intersection2 @ SV9 @ SY47 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(139,plain,
! [SV9: $i] :
( ( ~ ! [SY49: $i,SY50: $i] :
( ( SY50
!= ( set_intersection2 @ SV9 @ SY49 ) )
| ~ ( ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ SV9 )
| ~ ( in @ SY51 @ SY49 )
| ( in @ SY51 @ SY50 ) )
| ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SY50 )
| ( in @ SY52 @ SV9 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY50 )
| ( in @ SX3 @ SY49 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(140,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK7_C @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK7_C @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(141,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ( in @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(142,plain,
! [SV10: $i,SV1: $i] :
( ( ( in @ SV1 @ SV10 )
= $false )
| ( ( ~ ( in @ SV10 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(143,plain,
! [SV12: $i,SV5: $i] :
( ( ( disjoint @ SV5 @ SV12 )
= $false )
| ( ( disjoint @ SV12 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(144,plain,
! [SV7: $i,SV13: $i] :
( ( ( empty @ SV13 )
= $false )
| ( ( ~ ( in @ SV7 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(145,plain,
! [SV14: $i,SV8: $i] :
( ( ( SV8 = SV14 )
= $true )
| ( ( ~ ( empty @ SV8 ) )
= $true )
| ( ( ~ ( empty @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(146,plain,
! [SV15: $i] :
( ( ! [SY54: $i] :
( ( disjoint @ SV15 @ SY54 )
| ~ ( ~ ( in @ ( sK10_C @ SY54 @ SV15 ) @ SV15 )
| ~ ( in @ ( sK10_C @ SY54 @ SV15 ) @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(147,plain,
! [SV16: $i] :
( ( ! [SY55: $i] :
( ! [SY56: $i] :
( ~ ( in @ SY56 @ SV16 )
| ~ ( in @ SY56 @ SY55 ) )
| ~ ( disjoint @ SV16 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(148,plain,
! [SV17: $i] :
( ( ! [SY57: $i] :
( ( disjoint @ SV17 @ SY57 )
| ( in @ ( sK9_C @ SY57 @ SV17 ) @ ( set_intersection2 @ SV17 @ SY57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(149,plain,
! [SV18: $i] :
( ( ! [SY58: $i] :
( ! [SY59: $i] :
~ ( in @ SY59 @ ( set_intersection2 @ SV18 @ SY58 ) )
| ~ ( disjoint @ SV18 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(150,plain,
! [SV19: $i] :
( ( ! [SY60: $i] :
( ( ( set_intersection2 @ SV19 @ SY60 )
!= empty_set )
| ( disjoint @ SV19 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(151,plain,
! [SV20: $i] :
( ( ! [SY61: $i] :
( ~ ( disjoint @ SV20 @ SY61 )
| ( ( set_intersection2 @ SV20 @ SY61 )
= empty_set ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(152,plain,
! [SV21: $i] :
( ( ( in @ ( sK8_B @ SV21 ) @ SV21 )
| ( SV21 = empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV22: $i] :
( ( ( SV22 != empty_set )
| ! [SY62: $i] :
~ ( in @ SY62 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(154,plain,
! [SV9: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY47 )
| ~ ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) )
| ~ ( ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY47 )
| ( in @ ( sK6_D @ SY48 @ SY47 @ SV9 ) @ SY48 ) ) ) )
| ( SY48
= ( set_intersection2 @ SV9 @ SY47 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(155,plain,
! [SV9: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ( SY50
!= ( set_intersection2 @ SV9 @ SY49 ) )
| ~ ( ~ ! [SY51: $i] :
( ~ ( in @ SY51 @ SV9 )
| ~ ( in @ SY51 @ SY49 )
| ( in @ SY51 @ SY50 ) )
| ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SY50 )
| ( in @ SY52 @ SV9 ) )
| ~ ! [SX3: $i] :
( ~ ( in @ SX3 @ SY50 )
| ( in @ SX3 @ SY49 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(156,plain,
! [SV23: $i] :
( ( ! [SY63: $i] :
( ~ ( ~ ( in @ ( sK7_C @ SY63 @ SV23 ) @ SV23 )
| ~ ~ ( in @ ( sK7_C @ SY63 @ SV23 ) @ SY63 ) )
| ( subset @ SV23 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(157,plain,
! [SV24: $i] :
( ( ! [SY64: $i] :
( ~ ( subset @ SV24 @ SY64 )
| ! [SY65: $i] :
( ~ ( in @ SY65 @ SV24 )
| ( in @ SY65 @ SY64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(158,plain,
! [SV1: $i,SV10: $i] :
( ( ( in @ SV10 @ SV1 )
= $false )
| ( ( in @ SV1 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(159,plain,
! [SV13: $i,SV7: $i] :
( ( ( in @ SV7 @ SV13 )
= $false )
| ( ( empty @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(160,plain,
! [SV14: $i,SV8: $i] :
( ( ( empty @ SV8 )
= $false )
| ( ( SV8 = SV14 )
= $true )
| ( ( ~ ( empty @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(161,plain,
! [SV25: $i,SV15: $i] :
( ( ( disjoint @ SV15 @ SV25 )
| ~ ( ~ ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV15 )
| ~ ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(162,plain,
! [SV26: $i,SV16: $i] :
( ( ! [SY66: $i] :
( ~ ( in @ SY66 @ SV16 )
| ~ ( in @ SY66 @ SV26 ) )
| ~ ( disjoint @ SV16 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(163,plain,
! [SV27: $i,SV17: $i] :
( ( ( disjoint @ SV17 @ SV27 )
| ( in @ ( sK9_C @ SV27 @ SV17 ) @ ( set_intersection2 @ SV17 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(164,plain,
! [SV28: $i,SV18: $i] :
( ( ! [SY67: $i] :
~ ( in @ SY67 @ ( set_intersection2 @ SV18 @ SV28 ) )
| ~ ( disjoint @ SV18 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(165,plain,
! [SV29: $i,SV19: $i] :
( ( ( ( set_intersection2 @ SV19 @ SV29 )
!= empty_set )
| ( disjoint @ SV19 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(166,plain,
! [SV30: $i,SV20: $i] :
( ( ~ ( disjoint @ SV20 @ SV30 )
| ( ( set_intersection2 @ SV20 @ SV30 )
= empty_set ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(167,plain,
! [SV21: $i] :
( ( ( in @ ( sK8_B @ SV21 ) @ SV21 )
= $true )
| ( ( SV21 = empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(168,plain,
! [SV22: $i] :
( ( ( ( SV22 != empty_set ) )
= $true )
| ( ( ! [SY62: $i] :
~ ( in @ SY62 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(169,plain,
! [SV9: $i,SV31: $i] :
( ( ! [SY68: $i] :
( ~ ( ~ ( ~ ( in @ ( sK6_D @ SY68 @ SV31 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SY68 @ SV31 @ SV9 ) @ SV31 )
| ~ ( in @ ( sK6_D @ SY68 @ SV31 @ SV9 ) @ SY68 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SY68 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SY68 @ SV31 @ SV9 ) @ SY68 ) )
| ~ ( ( in @ ( sK6_D @ SY68 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SY68 @ SV31 @ SV9 ) @ SY68 ) ) ) )
| ( SY68
= ( set_intersection2 @ SV9 @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(170,plain,
! [SV32: $i,SV9: $i] :
( ( ! [SY69: $i] :
( ( SY69
!= ( set_intersection2 @ SV9 @ SV32 ) )
| ~ ( ~ ! [SY70: $i] :
( ~ ( in @ SY70 @ SV9 )
| ~ ( in @ SY70 @ SV32 )
| ( in @ SY70 @ SY69 ) )
| ~ ~ ( ~ ! [SY52: $i] :
( ~ ( in @ SY52 @ SY69 )
| ( in @ SY52 @ SV9 ) )
| ~ ! [SY72: $i] :
( ~ ( in @ SY72 @ SY69 )
| ( in @ SY72 @ SV32 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(171,plain,
! [SV23: $i,SV33: $i] :
( ( ~ ( ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV23 )
| ~ ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV33 ) )
| ( subset @ SV23 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(172,plain,
! [SV34: $i,SV24: $i] :
( ( ~ ( subset @ SV24 @ SV34 )
| ! [SY73: $i] :
( ~ ( in @ SY73 @ SV24 )
| ( in @ SY73 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(173,plain,
! [SV8: $i,SV14: $i] :
( ( ( empty @ SV14 )
= $false )
| ( ( SV8 = SV14 )
= $true )
| ( ( empty @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(174,plain,
! [SV25: $i,SV15: $i] :
( ( ( disjoint @ SV15 @ SV25 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV15 )
| ~ ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(175,plain,
! [SV26: $i,SV16: $i] :
( ( ( ! [SY66: $i] :
( ~ ( in @ SY66 @ SV16 )
| ~ ( in @ SY66 @ SV26 ) ) )
= $true )
| ( ( ~ ( disjoint @ SV16 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(176,plain,
! [SV27: $i,SV17: $i] :
( ( ( disjoint @ SV17 @ SV27 )
= $true )
| ( ( in @ ( sK9_C @ SV27 @ SV17 ) @ ( set_intersection2 @ SV17 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(177,plain,
! [SV28: $i,SV18: $i] :
( ( ( ! [SY67: $i] :
~ ( in @ SY67 @ ( set_intersection2 @ SV18 @ SV28 ) ) )
= $true )
| ( ( ~ ( disjoint @ SV18 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(178,plain,
! [SV29: $i,SV19: $i] :
( ( ( ( ( set_intersection2 @ SV19 @ SV29 )
!= empty_set ) )
= $true )
| ( ( disjoint @ SV19 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(179,plain,
! [SV30: $i,SV20: $i] :
( ( ( ~ ( disjoint @ SV20 @ SV30 ) )
= $true )
| ( ( ( set_intersection2 @ SV20 @ SV30 )
= empty_set )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(180,plain,
! [SV22: $i] :
( ( ( SV22 = empty_set )
= $false )
| ( ( ! [SY62: $i] :
~ ( in @ SY62 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(181,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ~ ( ~ ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) ) )
| ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(182,plain,
! [SV32: $i,SV9: $i,SV36: $i] :
( ( ( SV36
!= ( set_intersection2 @ SV9 @ SV32 ) )
| ~ ( ~ ! [SY74: $i] :
( ~ ( in @ SY74 @ SV9 )
| ~ ( in @ SY74 @ SV32 )
| ( in @ SY74 @ SV36 ) )
| ~ ~ ( ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(183,plain,
! [SV23: $i,SV33: $i] :
( ( ( ~ ( ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV23 )
| ~ ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV33 ) ) )
= $true )
| ( ( subset @ SV23 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(184,plain,
! [SV34: $i,SV24: $i] :
( ( ( ~ ( subset @ SV24 @ SV34 ) )
= $true )
| ( ( ! [SY73: $i] :
( ~ ( in @ SY73 @ SV24 )
| ( in @ SY73 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(185,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV15 )
| ~ ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV25 ) )
= $false )
| ( ( disjoint @ SV15 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(186,plain,
! [SV26: $i,SV16: $i,SV37: $i] :
( ( ( ~ ( in @ SV37 @ SV16 )
| ~ ( in @ SV37 @ SV26 ) )
= $true )
| ( ( ~ ( disjoint @ SV16 @ SV26 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(187,plain,
! [SV28: $i,SV18: $i,SV38: $i] :
( ( ( ~ ( in @ SV38 @ ( set_intersection2 @ SV18 @ SV28 ) ) )
= $true )
| ( ( ~ ( disjoint @ SV18 @ SV28 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(188,plain,
! [SV29: $i,SV19: $i] :
( ( ( ( set_intersection2 @ SV19 @ SV29 )
= empty_set )
= $false )
| ( ( disjoint @ SV19 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(189,plain,
! [SV30: $i,SV20: $i] :
( ( ( disjoint @ SV20 @ SV30 )
= $false )
| ( ( ( set_intersection2 @ SV20 @ SV30 )
= empty_set )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(190,plain,
! [SV22: $i,SV39: $i] :
( ( ( ~ ( in @ SV39 @ SV22 ) )
= $true )
| ( ( SV22 = empty_set )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(191,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( ~ ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) ) ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(192,plain,
! [SV32: $i,SV9: $i,SV36: $i] :
( ( ( ( SV36
!= ( set_intersection2 @ SV9 @ SV32 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY74: $i] :
( ~ ( in @ SY74 @ SV9 )
| ~ ( in @ SY74 @ SV32 )
| ( in @ SY74 @ SV36 ) )
| ~ ~ ( ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(193,plain,
! [SV23: $i,SV33: $i] :
( ( ( ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV23 )
| ~ ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV33 ) )
= $false )
| ( ( subset @ SV23 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(194,plain,
! [SV34: $i,SV24: $i] :
( ( ( subset @ SV24 @ SV34 )
= $false )
| ( ( ! [SY73: $i] :
( ~ ( in @ SY73 @ SV24 )
| ( in @ SY73 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(195,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV15 ) )
= $false )
| ( ( disjoint @ SV15 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(196,plain,
! [SV15: $i,SV25: $i] :
( ( ( ~ ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV25 ) )
= $false )
| ( ( disjoint @ SV15 @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(197,plain,
! [SV26: $i,SV16: $i,SV37: $i] :
( ( ( ~ ( in @ SV37 @ SV16 ) )
= $true )
| ( ( ~ ( in @ SV37 @ SV26 ) )
= $true )
| ( ( ~ ( disjoint @ SV16 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(198,plain,
! [SV28: $i,SV18: $i,SV38: $i] :
( ( ( in @ SV38 @ ( set_intersection2 @ SV18 @ SV28 ) )
= $false )
| ( ( ~ ( disjoint @ SV18 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(199,plain,
! [SV22: $i,SV39: $i] :
( ( ( in @ SV39 @ SV22 )
= $false )
| ( ( SV22 = empty_set )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(200,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ~ ( ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) ) )
= $false )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(201,plain,
! [SV32: $i,SV9: $i,SV36: $i] :
( ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false )
| ( ( ~ ( ~ ! [SY74: $i] :
( ~ ( in @ SY74 @ SV9 )
| ~ ( in @ SY74 @ SV32 )
| ( in @ SY74 @ SV36 ) )
| ~ ~ ( ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(202,plain,
! [SV23: $i,SV33: $i] :
( ( ( ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV23 ) )
= $false )
| ( ( subset @ SV23 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(203,plain,
! [SV23: $i,SV33: $i] :
( ( ( ~ ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV33 ) )
= $false )
| ( ( subset @ SV23 @ SV33 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(204,plain,
! [SV34: $i,SV24: $i,SV40: $i] :
( ( ( ~ ( in @ SV40 @ SV24 )
| ( in @ SV40 @ SV34 ) )
= $true )
| ( ( subset @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(205,plain,
! [SV15: $i,SV25: $i] :
( ( ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV15 )
= $true )
| ( ( disjoint @ SV15 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(206,plain,
! [SV15: $i,SV25: $i] :
( ( ( in @ ( sK10_C @ SV25 @ SV15 ) @ SV25 )
= $true )
| ( ( disjoint @ SV15 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(207,plain,
! [SV26: $i,SV16: $i,SV37: $i] :
( ( ( in @ SV37 @ SV16 )
= $false )
| ( ( ~ ( in @ SV37 @ SV26 ) )
= $true )
| ( ( ~ ( disjoint @ SV16 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(208,plain,
! [SV38: $i,SV28: $i,SV18: $i] :
( ( ( disjoint @ SV18 @ SV28 )
= $false )
| ( ( in @ SV38 @ ( set_intersection2 @ SV18 @ SV28 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(209,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) )
= $false )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(210,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) ) )
= $false )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(211,plain,
! [SV36: $i,SV32: $i,SV9: $i] :
( ( ( ~ ! [SY74: $i] :
( ~ ( in @ SY74 @ SV9 )
| ~ ( in @ SY74 @ SV32 )
| ( in @ SY74 @ SV36 ) )
| ~ ~ ( ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) ) )
= $false )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(212,plain,
! [SV23: $i,SV33: $i] :
( ( ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV23 )
= $true )
| ( ( subset @ SV23 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(213,plain,
! [SV23: $i,SV33: $i] :
( ( ( ~ ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV33 ) )
= $true )
| ( ( subset @ SV23 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(214,plain,
! [SV34: $i,SV24: $i,SV40: $i] :
( ( ( ~ ( in @ SV40 @ SV24 ) )
= $true )
| ( ( in @ SV40 @ SV34 )
= $true )
| ( ( subset @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(215,plain,
! [SV16: $i,SV26: $i,SV37: $i] :
( ( ( in @ SV37 @ SV26 )
= $false )
| ( ( in @ SV37 @ SV16 )
= $false )
| ( ( ~ ( disjoint @ SV16 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(216,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(217,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(218,plain,
! [SV36: $i,SV32: $i,SV9: $i] :
( ( ( ~ ! [SY74: $i] :
( ~ ( in @ SY74 @ SV9 )
| ~ ( in @ SY74 @ SV32 )
| ( in @ SY74 @ SV36 ) ) )
= $false )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(219,plain,
! [SV32: $i,SV9: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) ) )
= $false )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(220,plain,
! [SV23: $i,SV33: $i] :
( ( ( in @ ( sK7_C @ SV33 @ SV23 ) @ SV33 )
= $false )
| ( ( subset @ SV23 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(221,plain,
! [SV34: $i,SV24: $i,SV40: $i] :
( ( ( in @ SV40 @ SV24 )
= $false )
| ( ( in @ SV40 @ SV34 )
= $true )
| ( ( subset @ SV24 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(222,plain,
! [SV37: $i,SV26: $i,SV16: $i] :
( ( ( disjoint @ SV16 @ SV26 )
= $false )
| ( ( in @ SV37 @ SV16 )
= $false )
| ( ( in @ SV37 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(223,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(224,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
| ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) )
= $false )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(225,plain,
! [SV36: $i,SV32: $i,SV9: $i] :
( ( ( ! [SY74: $i] :
( ~ ( in @ SY74 @ SV9 )
| ~ ( in @ SY74 @ SV32 )
| ( in @ SY74 @ SV36 ) ) )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(226,plain,
! [SV32: $i,SV9: $i,SV36: $i] :
( ( ( ~ ( ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) ) )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(227,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(228,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) )
= $false )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(229,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ~ ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) ) )
= $false )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(230,plain,
! [SV36: $i,SV32: $i,SV9: $i,SV41: $i] :
( ( ( ~ ( in @ SV41 @ SV9 )
| ~ ( in @ SV41 @ SV32 )
| ( in @ SV41 @ SV36 ) )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(231,plain,
! [SV32: $i,SV9: $i,SV36: $i] :
( ( ( ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) )
| ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) )
= $false )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(232,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
= $false )
| ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 ) )
= $true )
| ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(233,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(234,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
| ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(235,plain,
! [SV36: $i,SV32: $i,SV9: $i,SV41: $i] :
( ( ( ~ ( in @ SV41 @ SV9 )
| ~ ( in @ SV41 @ SV32 ) )
= $true )
| ( ( in @ SV41 @ SV36 )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(236,plain,
! [SV32: $i,SV9: $i,SV36: $i] :
( ( ( ~ ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) ) )
= $false )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(237,plain,
! [SV9: $i,SV32: $i,SV36: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) )
= $false )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(238,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
= $false )
| ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
= $false )
| ( ( ~ ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 ) )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(239,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
= $true )
| ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(240,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
= $true )
| ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 )
= $true )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(241,plain,
! [SV36: $i,SV32: $i,SV9: $i,SV41: $i] :
( ( ( ~ ( in @ SV41 @ SV9 ) )
= $true )
| ( ( ~ ( in @ SV41 @ SV32 ) )
= $true )
| ( ( in @ SV41 @ SV36 )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(242,plain,
! [SV32: $i,SV9: $i,SV36: $i] :
( ( ( ! [SY75: $i] :
( ~ ( in @ SY75 @ SV36 )
| ( in @ SY75 @ SV9 ) ) )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(243,plain,
! [SV9: $i,SV32: $i,SV36: $i] :
( ( ( ! [SY76: $i] :
( ~ ( in @ SY76 @ SV36 )
| ( in @ SY76 @ SV32 ) ) )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(244,plain,
! [SV9: $i,SV31: $i,SV35: $i] :
( ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV35 )
= $false )
| ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV9 )
= $false )
| ( ( in @ ( sK6_D @ SV35 @ SV31 @ SV9 ) @ SV31 )
= $false )
| ( ( SV35
= ( set_intersection2 @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(245,plain,
! [SV36: $i,SV32: $i,SV9: $i,SV41: $i] :
( ( ( in @ SV41 @ SV9 )
= $false )
| ( ( ~ ( in @ SV41 @ SV32 ) )
= $true )
| ( ( in @ SV41 @ SV36 )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(246,plain,
! [SV32: $i,SV9: $i,SV36: $i,SV42: $i] :
( ( ( ~ ( in @ SV42 @ SV36 )
| ( in @ SV42 @ SV9 ) )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(247,plain,
! [SV9: $i,SV32: $i,SV36: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ SV36 )
| ( in @ SV43 @ SV32 ) )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(248,plain,
! [SV36: $i,SV9: $i,SV32: $i,SV41: $i] :
( ( ( in @ SV41 @ SV32 )
= $false )
| ( ( in @ SV41 @ SV9 )
= $false )
| ( ( in @ SV41 @ SV36 )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(249,plain,
! [SV32: $i,SV9: $i,SV36: $i,SV42: $i] :
( ( ( ~ ( in @ SV42 @ SV36 ) )
= $true )
| ( ( in @ SV42 @ SV9 )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(250,plain,
! [SV9: $i,SV32: $i,SV36: $i,SV43: $i] :
( ( ( ~ ( in @ SV43 @ SV36 ) )
= $true )
| ( ( in @ SV43 @ SV32 )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(251,plain,
! [SV32: $i,SV9: $i,SV36: $i,SV42: $i] :
( ( ( in @ SV42 @ SV36 )
= $false )
| ( ( in @ SV42 @ SV9 )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(252,plain,
! [SV9: $i,SV32: $i,SV36: $i,SV43: $i] :
( ( ( in @ SV43 @ SV36 )
= $false )
| ( ( in @ SV43 @ SV32 )
= $true )
| ( ( SV36
= ( set_intersection2 @ SV9 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(253,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[72,252,251,248,244,240,239,222,221,220,212,208,206,205,199,189,188,176,173,167,159,158,143,127,109,101,96,95,94,84,83,76,74,73]) ).
thf(254,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU121+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 11:29:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35
% 0.14/0.35 No.of.Axioms: 19
% 0.14/0.35
% 0.14/0.35 Length.of.Defs: 0
% 0.14/0.35
% 0.14/0.35 Contains.Choice.Funs: false
% 0.20/0.36 .
% 0.20/0.36 (rf:0,axioms:19,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:21,loop_count:0,foatp_calls:0,translation:fof_full)................
% 0.80/0.98
% 0.80/0.98 ********************************
% 0.80/0.98 * All subproblems solved! *
% 0.80/0.98 ********************************
% 0.80/0.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:21,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:253,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.80/1.00
% 0.80/1.00 %**** Beginning of derivation protocol ****
% 0.80/1.00 % SZS output start CNFRefutation
% See solution above
% 0.80/1.01
% 0.80/1.01 %**** End of derivation protocol ****
% 0.80/1.01 %**** no. of clauses in derivation: 254 ****
% 0.80/1.01 %**** clause counter: 253 ****
% 0.80/1.01
% 0.80/1.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:21,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:253,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------