TSTP Solution File: SEU323+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU323+1 : 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 : n015.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 12:10:29 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 40
% Syntax : Number of formulae : 211 ( 116 unt; 19 typ; 0 def)
% Number of atoms : 1153 ( 320 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 2118 ( 260 ~; 281 |; 40 &;1501 @)
% ( 2 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 6 con; 0-2 aty)
% Number of variables : 284 ( 0 ^ 274 !; 10 ?; 284 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_closed_subset,type,
closed_subset: $i > $i > $o ).
thf(tp_element,type,
element: $i > $i > $o ).
thf(tp_interior,type,
interior: $i > $i > $i ).
thf(tp_one_sorted_str,type,
one_sorted_str: $i > $o ).
thf(tp_open_subset,type,
open_subset: $i > $i > $o ).
thf(tp_powerset,type,
powerset: $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY31,type,
sK2_SY31: $i ).
thf(tp_sK3_B,type,
sK3_B: $i > $i ).
thf(tp_sK4_B,type,
sK4_B: $i > $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_B,type,
sK7_B: $i > $i ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_subset_complement,type,
subset_complement: $i > $i > $i ).
thf(tp_the_carrier,type,
the_carrier: $i > $i ).
thf(tp_top_str,type,
top_str: $i > $o ).
thf(tp_topological_space,type,
topological_space: $i > $o ).
thf(tp_topstr_closure,type,
topstr_closure: $i > $i > $i ).
thf(1,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( interior @ A @ B )
= ( subset_complement @ ( the_carrier @ A ) @ ( topstr_closure @ A @ ( subset_complement @ ( the_carrier @ A ) @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
thf(3,axiom,
! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ? [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
& ( open_subset @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_tops_1) ).
thf(4,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_struct_0) ).
thf(5,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_subset_1) ).
thf(6,axiom,
! [A: $i] :
( ( top_str @ A )
=> ( one_sorted_str @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
thf(7,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_zfmisc_1) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( element @ ( interior @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tops_1) ).
thf(9,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
thf(10,axiom,
? [A: $i] : ( top_str @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( open_subset @ B @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( closed_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_tops_1) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( closed_subset @ ( topstr_closure @ A @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
thf(13,axiom,
$true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_struct_0) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( element @ ( topstr_closure @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
thf(16,axiom,
? [A: $i] : ( one_sorted_str @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
thf(17,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( ( subset_complement @ A @ ( subset_complement @ A @ B ) )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
thf(19,axiom,
! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ? [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
& ( closed_subset @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_pre_topc) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( closed_subset @ B @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( open_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_tops_1) ).
thf(21,conjecture,
! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( open_subset @ ( interior @ A @ B ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1) ).
thf(22,negated_conjecture,
( ( ! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( open_subset @ ( interior @ A @ B ) @ A ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[21]) ).
thf(23,plain,
( ( ! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( open_subset @ ( interior @ A @ B ) @ A ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[22]) ).
thf(24,plain,
( ( ! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( interior @ A @ B )
= ( subset_complement @ ( the_carrier @ A ) @ ( topstr_closure @ A @ ( subset_complement @ ( the_carrier @ A ) @ B ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(25,plain,
( ( ! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(26,plain,
( ( ! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ? [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
& ( open_subset @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(27,plain,
$true = $true,
inference(unfold_def,[status(thm)],[4]) ).
thf(28,plain,
$true = $true,
inference(unfold_def,[status(thm)],[5]) ).
thf(29,plain,
( ( ! [A: $i] :
( ( top_str @ A )
=> ( one_sorted_str @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(30,plain,
$true = $true,
inference(unfold_def,[status(thm)],[7]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ( ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( element @ ( interior @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(32,plain,
( ( ! [A: $i] :
? [B: $i] : ( element @ B @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(33,plain,
( ( ? [A: $i] : ( top_str @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(34,plain,
( ( ! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( open_subset @ B @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( closed_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( closed_subset @ ( topstr_closure @ A @ B ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(36,plain,
$true = $true,
inference(unfold_def,[status(thm)],[13]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ( ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( element @ ( topstr_closure @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(39,plain,
( ( ? [A: $i] : ( one_sorted_str @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] : ( subset @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( ( subset_complement @ A @ ( subset_complement @ A @ B ) )
= B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(42,plain,
( ( ! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ? [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
& ( closed_subset @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( closed_subset @ B @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( open_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(44,plain,
( ( ( ( topological_space @ sK1_A )
& ( top_str @ sK1_A ) )
=> ! [SY31: $i] :
( ( element @ SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) )
=> ( open_subset @ ( interior @ sK1_A @ SY31 ) @ sK1_A ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(45,plain,
( ( topological_space @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[44]) ).
thf(46,plain,
( ( top_str @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[44]) ).
thf(47,plain,
( ( ! [SY31: $i] :
( ( element @ SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) )
=> ( open_subset @ ( interior @ sK1_A @ SY31 ) @ sK1_A ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[44]) ).
thf(48,plain,
( ( ~ ! [SY31: $i] :
( ( element @ SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) )
=> ( open_subset @ ( interior @ sK1_A @ SY31 ) @ sK1_A ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(49,plain,
( ( ( element @ sK2_SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) )
& ~ ( open_subset @ ( interior @ sK1_A @ sK2_SY31 ) @ sK1_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(50,plain,
( ( ! [A: $i] :
( ~ ( top_str @ A )
| ! [B: $i] :
( ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ( ( interior @ A @ B )
= ( subset_complement @ ( the_carrier @ A ) @ ( topstr_closure @ A @ ( subset_complement @ ( the_carrier @ A ) @ B ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ A @ ( powerset @ B ) )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( element @ A @ ( powerset @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(52,plain,
( ( ! [A: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ( ( element @ ( sK3_B @ A ) @ ( powerset @ ( the_carrier @ A ) ) )
& ( open_subset @ ( sK3_B @ A ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(53,plain,
( ( ! [A: $i] :
( ~ ( top_str @ A )
| ( one_sorted_str @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ~ ( top_str @ A )
| ( element @ ( interior @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(55,plain,
( ( ! [A: $i] : ( element @ ( sK4_B @ A ) @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(56,plain,
( ( top_str @ sK5_A )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ~ ( open_subset @ B @ A )
| ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ( closed_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ( closed_subset @ ( topstr_closure @ A @ B ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ~ ( top_str @ A )
| ( element @ ( topstr_closure @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ B @ ( powerset @ A ) )
| ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(61,plain,
( ( one_sorted_str @ sK6_A )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(62,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(63,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ B @ ( powerset @ A ) )
| ( ( subset_complement @ A @ ( subset_complement @ A @ B ) )
= B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(64,plain,
( ( ! [A: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ( ( closed_subset @ ( sK7_B @ A ) @ A )
& ( element @ ( sK7_B @ A ) @ ( powerset @ ( the_carrier @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ~ ( closed_subset @ B @ A )
| ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ( open_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ~ ( closed_subset @ B @ A )
| ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ( open_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(67,plain,
( ( ! [A: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ( ( closed_subset @ ( sK7_B @ A ) @ A )
& ( element @ ( sK7_B @ A ) @ ( powerset @ ( the_carrier @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ B @ ( powerset @ A ) )
| ( ( subset_complement @ A @ ( subset_complement @ A @ B ) )
= B ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(69,plain,
( ( ! [A: $i] : ( subset @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(70,plain,
( ( one_sorted_str @ sK6_A )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ B @ ( powerset @ A ) )
| ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ~ ( top_str @ A )
| ( element @ ( topstr_closure @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(73,plain,
$true = $true,
inference(copy,[status(thm)],[36]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ( closed_subset @ ( topstr_closure @ A @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ~ ( open_subset @ B @ A )
| ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ( closed_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(76,plain,
( ( top_str @ sK5_A )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(77,plain,
( ( ! [A: $i] : ( element @ ( sK4_B @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ~ ( top_str @ A )
| ( element @ ( interior @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(79,plain,
$true = $true,
inference(copy,[status(thm)],[30]) ).
thf(80,plain,
( ( ! [A: $i] :
( ~ ( top_str @ A )
| ( one_sorted_str @ A ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(81,plain,
$true = $true,
inference(copy,[status(thm)],[28]) ).
thf(82,plain,
$true = $true,
inference(copy,[status(thm)],[27]) ).
thf(83,plain,
( ( ! [A: $i] :
( ~ ( top_str @ A )
| ~ ( topological_space @ A )
| ( ( element @ ( sK3_B @ A ) @ ( powerset @ ( the_carrier @ A ) ) )
& ( open_subset @ ( sK3_B @ A ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(84,plain,
( ( ! [A: $i,B: $i] :
( ~ ( element @ A @ ( powerset @ B ) )
| ( subset @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( subset @ A @ B )
| ( element @ A @ ( powerset @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(85,plain,
( ( ! [A: $i] :
( ~ ( top_str @ A )
| ! [B: $i] :
( ~ ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
| ( ( interior @ A @ B )
= ( subset_complement @ ( the_carrier @ A ) @ ( topstr_closure @ A @ ( subset_complement @ ( the_carrier @ A ) @ B ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(86,plain,
( ( top_str @ sK1_A )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(87,plain,
( ( topological_space @ sK1_A )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(88,plain,
( ( ( element @ sK2_SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) )
& ~ ( open_subset @ ( interior @ sK1_A @ sK2_SY31 ) @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(89,plain,
( ( ~ ( ~ ( element @ sK2_SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) )
| ~ ~ ( open_subset @ ( interior @ sK1_A @ sK2_SY31 ) @ sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(90,plain,
( ( ! [SX0: $i] :
( ~ ( top_str @ SX0 )
| ~ ( topological_space @ SX0 )
| ~ ( ~ ( element @ ( sK3_B @ SX0 ) @ ( powerset @ ( the_carrier @ SX0 ) ) )
| ~ ( open_subset @ ( sK3_B @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(91,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( element @ SX0 @ ( powerset @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( element @ SX0 @ ( powerset @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(92,plain,
( ( ! [SX0: $i] :
( ~ ( top_str @ SX0 )
| ~ ( topological_space @ SX0 )
| ~ ( ~ ( closed_subset @ ( sK7_B @ SX0 ) @ SX0 )
| ~ ( element @ ( sK7_B @ SX0 ) @ ( powerset @ ( the_carrier @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(93,plain,
! [SV1: $i] :
( ( ! [SY32: $i] :
( ~ ( top_str @ SV1 )
| ~ ( topological_space @ SV1 )
| ~ ( closed_subset @ SY32 @ SV1 )
| ~ ( element @ SY32 @ ( powerset @ ( the_carrier @ SV1 ) ) )
| ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SY32 ) @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(94,plain,
! [SV2: $i] :
( ( ! [SY33: $i] :
( ~ ( element @ SY33 @ ( powerset @ SV2 ) )
| ( ( subset_complement @ SV2 @ ( subset_complement @ SV2 @ SY33 ) )
= SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(95,plain,
! [SV3: $i] :
( ( subset @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(96,plain,
! [SV4: $i] :
( ( ! [SY34: $i] :
( ~ ( element @ SY34 @ ( powerset @ SV4 ) )
| ( element @ ( subset_complement @ SV4 @ SY34 ) @ ( powerset @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(97,plain,
! [SV5: $i] :
( ( ! [SY35: $i] :
( ~ ( element @ SY35 @ ( powerset @ ( the_carrier @ SV5 ) ) )
| ~ ( top_str @ SV5 )
| ( element @ ( topstr_closure @ SV5 @ SY35 ) @ ( powerset @ ( the_carrier @ SV5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(98,plain,
! [SV6: $i] :
( ( ! [SY36: $i] :
( ~ ( top_str @ SV6 )
| ~ ( topological_space @ SV6 )
| ~ ( element @ SY36 @ ( powerset @ ( the_carrier @ SV6 ) ) )
| ( closed_subset @ ( topstr_closure @ SV6 @ SY36 ) @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(99,plain,
! [SV7: $i] :
( ( ! [SY37: $i] :
( ~ ( top_str @ SV7 )
| ~ ( topological_space @ SV7 )
| ~ ( open_subset @ SY37 @ SV7 )
| ~ ( element @ SY37 @ ( powerset @ ( the_carrier @ SV7 ) ) )
| ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SY37 ) @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(100,plain,
! [SV8: $i] :
( ( element @ ( sK4_B @ SV8 ) @ SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(101,plain,
! [SV9: $i] :
( ( ! [SY38: $i] :
( ~ ( element @ SY38 @ ( powerset @ ( the_carrier @ SV9 ) ) )
| ~ ( top_str @ SV9 )
| ( element @ ( interior @ SV9 @ SY38 ) @ ( powerset @ ( the_carrier @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(102,plain,
! [SV10: $i] :
( ( ~ ( top_str @ SV10 )
| ( one_sorted_str @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(103,plain,
! [SV11: $i] :
( ( ~ ( top_str @ SV11 )
| ! [SY39: $i] :
( ~ ( element @ SY39 @ ( powerset @ ( the_carrier @ SV11 ) ) )
| ( ( interior @ SV11 @ SY39 )
= ( subset_complement @ ( the_carrier @ SV11 ) @ ( topstr_closure @ SV11 @ ( subset_complement @ ( the_carrier @ SV11 ) @ SY39 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(104,plain,
( ( ~ ( element @ sK2_SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) )
| ~ ~ ( open_subset @ ( interior @ sK1_A @ sK2_SY31 ) @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(105,plain,
! [SV12: $i] :
( ( ~ ( top_str @ SV12 )
| ~ ( topological_space @ SV12 )
| ~ ( ~ ( element @ ( sK3_B @ SV12 ) @ ( powerset @ ( the_carrier @ SV12 ) ) )
| ~ ( open_subset @ ( sK3_B @ SV12 ) @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(106,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( element @ SX0 @ ( powerset @ SX1 ) )
| ( subset @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( element @ SX0 @ ( powerset @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(107,plain,
! [SV13: $i] :
( ( ~ ( top_str @ SV13 )
| ~ ( topological_space @ SV13 )
| ~ ( ~ ( closed_subset @ ( sK7_B @ SV13 ) @ SV13 )
| ~ ( element @ ( sK7_B @ SV13 ) @ ( powerset @ ( the_carrier @ SV13 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(108,plain,
! [SV14: $i,SV1: $i] :
( ( ~ ( top_str @ SV1 )
| ~ ( topological_space @ SV1 )
| ~ ( closed_subset @ SV14 @ SV1 )
| ~ ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) )
| ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(109,plain,
! [SV2: $i,SV15: $i] :
( ( ~ ( element @ SV15 @ ( powerset @ SV2 ) )
| ( ( subset_complement @ SV2 @ ( subset_complement @ SV2 @ SV15 ) )
= SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(110,plain,
! [SV4: $i,SV16: $i] :
( ( ~ ( element @ SV16 @ ( powerset @ SV4 ) )
| ( element @ ( subset_complement @ SV4 @ SV16 ) @ ( powerset @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV5: $i,SV17: $i] :
( ( ~ ( element @ SV17 @ ( powerset @ ( the_carrier @ SV5 ) ) )
| ~ ( top_str @ SV5 )
| ( element @ ( topstr_closure @ SV5 @ SV17 ) @ ( powerset @ ( the_carrier @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV18: $i,SV6: $i] :
( ( ~ ( top_str @ SV6 )
| ~ ( topological_space @ SV6 )
| ~ ( element @ SV18 @ ( powerset @ ( the_carrier @ SV6 ) ) )
| ( closed_subset @ ( topstr_closure @ SV6 @ SV18 ) @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV19: $i,SV7: $i] :
( ( ~ ( top_str @ SV7 )
| ~ ( topological_space @ SV7 )
| ~ ( open_subset @ SV19 @ SV7 )
| ~ ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) )
| ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV9: $i,SV20: $i] :
( ( ~ ( element @ SV20 @ ( powerset @ ( the_carrier @ SV9 ) ) )
| ~ ( top_str @ SV9 )
| ( element @ ( interior @ SV9 @ SV20 ) @ ( powerset @ ( the_carrier @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV10: $i] :
( ( ( ~ ( top_str @ SV10 ) )
= $true )
| ( ( one_sorted_str @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV11: $i] :
( ( ( ~ ( top_str @ SV11 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( element @ SY39 @ ( powerset @ ( the_carrier @ SV11 ) ) )
| ( ( interior @ SV11 @ SY39 )
= ( subset_complement @ ( the_carrier @ SV11 ) @ ( topstr_closure @ SV11 @ ( subset_complement @ ( the_carrier @ SV11 ) @ SY39 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(117,plain,
( ( ~ ( element @ sK2_SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(118,plain,
( ( ~ ~ ( open_subset @ ( interior @ sK1_A @ sK2_SY31 ) @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(119,plain,
! [SV12: $i] :
( ( ( ~ ( top_str @ SV12 )
| ~ ( topological_space @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( element @ ( sK3_B @ SV12 ) @ ( powerset @ ( the_carrier @ SV12 ) ) )
| ~ ( open_subset @ ( sK3_B @ SV12 ) @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(120,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( element @ SX0 @ ( powerset @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(121,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( element @ SX0 @ ( powerset @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(122,plain,
! [SV13: $i] :
( ( ( ~ ( top_str @ SV13 )
| ~ ( topological_space @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( closed_subset @ ( sK7_B @ SV13 ) @ SV13 )
| ~ ( element @ ( sK7_B @ SV13 ) @ ( powerset @ ( the_carrier @ SV13 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(123,plain,
! [SV14: $i,SV1: $i] :
( ( ( ~ ( top_str @ SV1 )
| ~ ( topological_space @ SV1 )
| ~ ( closed_subset @ SV14 @ SV1 )
| ~ ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) ) )
= $true )
| ( ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(124,plain,
! [SV2: $i,SV15: $i] :
( ( ( ~ ( element @ SV15 @ ( powerset @ SV2 ) ) )
= $true )
| ( ( ( subset_complement @ SV2 @ ( subset_complement @ SV2 @ SV15 ) )
= SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(125,plain,
! [SV4: $i,SV16: $i] :
( ( ( ~ ( element @ SV16 @ ( powerset @ SV4 ) ) )
= $true )
| ( ( element @ ( subset_complement @ SV4 @ SV16 ) @ ( powerset @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(126,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( element @ SV17 @ ( powerset @ ( the_carrier @ SV5 ) ) )
| ~ ( top_str @ SV5 ) )
= $true )
| ( ( element @ ( topstr_closure @ SV5 @ SV17 ) @ ( powerset @ ( the_carrier @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(127,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( top_str @ SV6 )
| ~ ( topological_space @ SV6 )
| ~ ( element @ SV18 @ ( powerset @ ( the_carrier @ SV6 ) ) ) )
= $true )
| ( ( closed_subset @ ( topstr_closure @ SV6 @ SV18 ) @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(128,plain,
! [SV19: $i,SV7: $i] :
( ( ( ~ ( top_str @ SV7 )
| ~ ( topological_space @ SV7 )
| ~ ( open_subset @ SV19 @ SV7 )
| ~ ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) ) )
= $true )
| ( ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(129,plain,
! [SV9: $i,SV20: $i] :
( ( ( ~ ( element @ SV20 @ ( powerset @ ( the_carrier @ SV9 ) ) )
| ~ ( top_str @ SV9 ) )
= $true )
| ( ( element @ ( interior @ SV9 @ SV20 ) @ ( powerset @ ( the_carrier @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(130,plain,
! [SV10: $i] :
( ( ( top_str @ SV10 )
= $false )
| ( ( one_sorted_str @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(131,plain,
! [SV11: $i] :
( ( ( top_str @ SV11 )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( element @ SY39 @ ( powerset @ ( the_carrier @ SV11 ) ) )
| ( ( interior @ SV11 @ SY39 )
= ( subset_complement @ ( the_carrier @ SV11 ) @ ( topstr_closure @ SV11 @ ( subset_complement @ ( the_carrier @ SV11 ) @ SY39 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(132,plain,
( ( element @ sK2_SY31 @ ( powerset @ ( the_carrier @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(133,plain,
( ( ~ ( open_subset @ ( interior @ sK1_A @ sK2_SY31 ) @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(134,plain,
! [SV12: $i] :
( ( ( ~ ( top_str @ SV12 ) )
= $true )
| ( ( ~ ( topological_space @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( element @ ( sK3_B @ SV12 ) @ ( powerset @ ( the_carrier @ SV12 ) ) )
| ~ ( open_subset @ ( sK3_B @ SV12 ) @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(135,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( element @ SX0 @ ( powerset @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(136,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( subset @ SX0 @ SX1 )
| ( element @ SX0 @ ( powerset @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(137,plain,
! [SV13: $i] :
( ( ( ~ ( top_str @ SV13 ) )
= $true )
| ( ( ~ ( topological_space @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( closed_subset @ ( sK7_B @ SV13 ) @ SV13 )
| ~ ( element @ ( sK7_B @ SV13 ) @ ( powerset @ ( the_carrier @ SV13 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(138,plain,
! [SV14: $i,SV1: $i] :
( ( ( ~ ( top_str @ SV1 )
| ~ ( topological_space @ SV1 )
| ~ ( closed_subset @ SV14 @ SV1 ) )
= $true )
| ( ( ~ ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) ) )
= $true )
| ( ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(139,plain,
! [SV2: $i,SV15: $i] :
( ( ( element @ SV15 @ ( powerset @ SV2 ) )
= $false )
| ( ( ( subset_complement @ SV2 @ ( subset_complement @ SV2 @ SV15 ) )
= SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV4: $i,SV16: $i] :
( ( ( element @ SV16 @ ( powerset @ SV4 ) )
= $false )
| ( ( element @ ( subset_complement @ SV4 @ SV16 ) @ ( powerset @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV5: $i,SV17: $i] :
( ( ( ~ ( element @ SV17 @ ( powerset @ ( the_carrier @ SV5 ) ) ) )
= $true )
| ( ( ~ ( top_str @ SV5 ) )
= $true )
| ( ( element @ ( topstr_closure @ SV5 @ SV17 ) @ ( powerset @ ( the_carrier @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(142,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( top_str @ SV6 )
| ~ ( topological_space @ SV6 ) )
= $true )
| ( ( ~ ( element @ SV18 @ ( powerset @ ( the_carrier @ SV6 ) ) ) )
= $true )
| ( ( closed_subset @ ( topstr_closure @ SV6 @ SV18 ) @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(143,plain,
! [SV19: $i,SV7: $i] :
( ( ( ~ ( top_str @ SV7 )
| ~ ( topological_space @ SV7 )
| ~ ( open_subset @ SV19 @ SV7 ) )
= $true )
| ( ( ~ ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) ) )
= $true )
| ( ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(144,plain,
! [SV9: $i,SV20: $i] :
( ( ( ~ ( element @ SV20 @ ( powerset @ ( the_carrier @ SV9 ) ) ) )
= $true )
| ( ( ~ ( top_str @ SV9 ) )
= $true )
| ( ( element @ ( interior @ SV9 @ SV20 ) @ ( powerset @ ( the_carrier @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ( element @ SV21 @ ( powerset @ ( the_carrier @ SV11 ) ) )
| ( ( interior @ SV11 @ SV21 )
= ( subset_complement @ ( the_carrier @ SV11 ) @ ( topstr_closure @ SV11 @ ( subset_complement @ ( the_carrier @ SV11 ) @ SV21 ) ) ) ) )
= $true )
| ( ( top_str @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(146,plain,
( ( open_subset @ ( interior @ sK1_A @ sK2_SY31 ) @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(147,plain,
! [SV12: $i] :
( ( ( top_str @ SV12 )
= $false )
| ( ( ~ ( topological_space @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( element @ ( sK3_B @ SV12 ) @ ( powerset @ ( the_carrier @ SV12 ) ) )
| ~ ( open_subset @ ( sK3_B @ SV12 ) @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(148,plain,
! [SV22: $i] :
( ( ! [SY40: $i] :
( ~ ( element @ SV22 @ ( powerset @ SY40 ) )
| ( subset @ SV22 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(149,plain,
! [SV23: $i] :
( ( ! [SY41: $i] :
( ~ ( subset @ SV23 @ SY41 )
| ( element @ SV23 @ ( powerset @ SY41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(150,plain,
! [SV13: $i] :
( ( ( top_str @ SV13 )
= $false )
| ( ( ~ ( topological_space @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( closed_subset @ ( sK7_B @ SV13 ) @ SV13 )
| ~ ( element @ ( sK7_B @ SV13 ) @ ( powerset @ ( the_carrier @ SV13 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(151,plain,
! [SV14: $i,SV1: $i] :
( ( ( ~ ( top_str @ SV1 )
| ~ ( topological_space @ SV1 ) )
= $true )
| ( ( ~ ( closed_subset @ SV14 @ SV1 ) )
= $true )
| ( ( ~ ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) ) )
= $true )
| ( ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(152,plain,
! [SV5: $i,SV17: $i] :
( ( ( element @ SV17 @ ( powerset @ ( the_carrier @ SV5 ) ) )
= $false )
| ( ( ~ ( top_str @ SV5 ) )
= $true )
| ( ( element @ ( topstr_closure @ SV5 @ SV17 ) @ ( powerset @ ( the_carrier @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(153,plain,
! [SV18: $i,SV6: $i] :
( ( ( ~ ( top_str @ SV6 ) )
= $true )
| ( ( ~ ( topological_space @ SV6 ) )
= $true )
| ( ( ~ ( element @ SV18 @ ( powerset @ ( the_carrier @ SV6 ) ) ) )
= $true )
| ( ( closed_subset @ ( topstr_closure @ SV6 @ SV18 ) @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(154,plain,
! [SV19: $i,SV7: $i] :
( ( ( ~ ( top_str @ SV7 )
| ~ ( topological_space @ SV7 ) )
= $true )
| ( ( ~ ( open_subset @ SV19 @ SV7 ) )
= $true )
| ( ( ~ ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) ) )
= $true )
| ( ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(155,plain,
! [SV9: $i,SV20: $i] :
( ( ( element @ SV20 @ ( powerset @ ( the_carrier @ SV9 ) ) )
= $false )
| ( ( ~ ( top_str @ SV9 ) )
= $true )
| ( ( element @ ( interior @ SV9 @ SV20 ) @ ( powerset @ ( the_carrier @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(156,plain,
! [SV11: $i,SV21: $i] :
( ( ( ~ ( element @ SV21 @ ( powerset @ ( the_carrier @ SV11 ) ) ) )
= $true )
| ( ( ( interior @ SV11 @ SV21 )
= ( subset_complement @ ( the_carrier @ SV11 ) @ ( topstr_closure @ SV11 @ ( subset_complement @ ( the_carrier @ SV11 ) @ SV21 ) ) ) )
= $true )
| ( ( top_str @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(157,plain,
! [SV12: $i] :
( ( ( topological_space @ SV12 )
= $false )
| ( ( top_str @ SV12 )
= $false )
| ( ( ~ ( ~ ( element @ ( sK3_B @ SV12 ) @ ( powerset @ ( the_carrier @ SV12 ) ) )
| ~ ( open_subset @ ( sK3_B @ SV12 ) @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(158,plain,
! [SV24: $i,SV22: $i] :
( ( ~ ( element @ SV22 @ ( powerset @ SV24 ) )
| ( subset @ SV22 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(159,plain,
! [SV25: $i,SV23: $i] :
( ( ~ ( subset @ SV23 @ SV25 )
| ( element @ SV23 @ ( powerset @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(160,plain,
! [SV13: $i] :
( ( ( topological_space @ SV13 )
= $false )
| ( ( top_str @ SV13 )
= $false )
| ( ( ~ ( ~ ( closed_subset @ ( sK7_B @ SV13 ) @ SV13 )
| ~ ( element @ ( sK7_B @ SV13 ) @ ( powerset @ ( the_carrier @ SV13 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(161,plain,
! [SV14: $i,SV1: $i] :
( ( ( ~ ( top_str @ SV1 ) )
= $true )
| ( ( ~ ( topological_space @ SV1 ) )
= $true )
| ( ( ~ ( closed_subset @ SV14 @ SV1 ) )
= $true )
| ( ( ~ ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) ) )
= $true )
| ( ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(162,plain,
! [SV17: $i,SV5: $i] :
( ( ( top_str @ SV5 )
= $false )
| ( ( element @ SV17 @ ( powerset @ ( the_carrier @ SV5 ) ) )
= $false )
| ( ( element @ ( topstr_closure @ SV5 @ SV17 ) @ ( powerset @ ( the_carrier @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(163,plain,
! [SV18: $i,SV6: $i] :
( ( ( top_str @ SV6 )
= $false )
| ( ( ~ ( topological_space @ SV6 ) )
= $true )
| ( ( ~ ( element @ SV18 @ ( powerset @ ( the_carrier @ SV6 ) ) ) )
= $true )
| ( ( closed_subset @ ( topstr_closure @ SV6 @ SV18 ) @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(164,plain,
! [SV19: $i,SV7: $i] :
( ( ( ~ ( top_str @ SV7 ) )
= $true )
| ( ( ~ ( topological_space @ SV7 ) )
= $true )
| ( ( ~ ( open_subset @ SV19 @ SV7 ) )
= $true )
| ( ( ~ ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) ) )
= $true )
| ( ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV20: $i,SV9: $i] :
( ( ( top_str @ SV9 )
= $false )
| ( ( element @ SV20 @ ( powerset @ ( the_carrier @ SV9 ) ) )
= $false )
| ( ( element @ ( interior @ SV9 @ SV20 ) @ ( powerset @ ( the_carrier @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(166,plain,
! [SV11: $i,SV21: $i] :
( ( ( element @ SV21 @ ( powerset @ ( the_carrier @ SV11 ) ) )
= $false )
| ( ( ( interior @ SV11 @ SV21 )
= ( subset_complement @ ( the_carrier @ SV11 ) @ ( topstr_closure @ SV11 @ ( subset_complement @ ( the_carrier @ SV11 ) @ SV21 ) ) ) )
= $true )
| ( ( top_str @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(167,plain,
! [SV12: $i] :
( ( ( ~ ( element @ ( sK3_B @ SV12 ) @ ( powerset @ ( the_carrier @ SV12 ) ) )
| ~ ( open_subset @ ( sK3_B @ SV12 ) @ SV12 ) )
= $false )
| ( ( top_str @ SV12 )
= $false )
| ( ( topological_space @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(168,plain,
! [SV24: $i,SV22: $i] :
( ( ( ~ ( element @ SV22 @ ( powerset @ SV24 ) ) )
= $true )
| ( ( subset @ SV22 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(169,plain,
! [SV25: $i,SV23: $i] :
( ( ( ~ ( subset @ SV23 @ SV25 ) )
= $true )
| ( ( element @ SV23 @ ( powerset @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(170,plain,
! [SV13: $i] :
( ( ( ~ ( closed_subset @ ( sK7_B @ SV13 ) @ SV13 )
| ~ ( element @ ( sK7_B @ SV13 ) @ ( powerset @ ( the_carrier @ SV13 ) ) ) )
= $false )
| ( ( top_str @ SV13 )
= $false )
| ( ( topological_space @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(171,plain,
! [SV14: $i,SV1: $i] :
( ( ( top_str @ SV1 )
= $false )
| ( ( ~ ( topological_space @ SV1 ) )
= $true )
| ( ( ~ ( closed_subset @ SV14 @ SV1 ) )
= $true )
| ( ( ~ ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) ) )
= $true )
| ( ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(172,plain,
! [SV18: $i,SV6: $i] :
( ( ( topological_space @ SV6 )
= $false )
| ( ( top_str @ SV6 )
= $false )
| ( ( ~ ( element @ SV18 @ ( powerset @ ( the_carrier @ SV6 ) ) ) )
= $true )
| ( ( closed_subset @ ( topstr_closure @ SV6 @ SV18 ) @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(173,plain,
! [SV19: $i,SV7: $i] :
( ( ( top_str @ SV7 )
= $false )
| ( ( ~ ( topological_space @ SV7 ) )
= $true )
| ( ( ~ ( open_subset @ SV19 @ SV7 ) )
= $true )
| ( ( ~ ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) ) )
= $true )
| ( ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(174,plain,
! [SV12: $i] :
( ( ( ~ ( element @ ( sK3_B @ SV12 ) @ ( powerset @ ( the_carrier @ SV12 ) ) ) )
= $false )
| ( ( top_str @ SV12 )
= $false )
| ( ( topological_space @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(175,plain,
! [SV12: $i] :
( ( ( ~ ( open_subset @ ( sK3_B @ SV12 ) @ SV12 ) )
= $false )
| ( ( top_str @ SV12 )
= $false )
| ( ( topological_space @ SV12 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(176,plain,
! [SV24: $i,SV22: $i] :
( ( ( element @ SV22 @ ( powerset @ SV24 ) )
= $false )
| ( ( subset @ SV22 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(177,plain,
! [SV25: $i,SV23: $i] :
( ( ( subset @ SV23 @ SV25 )
= $false )
| ( ( element @ SV23 @ ( powerset @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(178,plain,
! [SV13: $i] :
( ( ( ~ ( closed_subset @ ( sK7_B @ SV13 ) @ SV13 ) )
= $false )
| ( ( top_str @ SV13 )
= $false )
| ( ( topological_space @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(179,plain,
! [SV13: $i] :
( ( ( ~ ( element @ ( sK7_B @ SV13 ) @ ( powerset @ ( the_carrier @ SV13 ) ) ) )
= $false )
| ( ( top_str @ SV13 )
= $false )
| ( ( topological_space @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(180,plain,
! [SV14: $i,SV1: $i] :
( ( ( topological_space @ SV1 )
= $false )
| ( ( top_str @ SV1 )
= $false )
| ( ( ~ ( closed_subset @ SV14 @ SV1 ) )
= $true )
| ( ( ~ ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) ) )
= $true )
| ( ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(181,plain,
! [SV6: $i,SV18: $i] :
( ( ( element @ SV18 @ ( powerset @ ( the_carrier @ SV6 ) ) )
= $false )
| ( ( top_str @ SV6 )
= $false )
| ( ( topological_space @ SV6 )
= $false )
| ( ( closed_subset @ ( topstr_closure @ SV6 @ SV18 ) @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(182,plain,
! [SV19: $i,SV7: $i] :
( ( ( topological_space @ SV7 )
= $false )
| ( ( top_str @ SV7 )
= $false )
| ( ( ~ ( open_subset @ SV19 @ SV7 ) )
= $true )
| ( ( ~ ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) ) )
= $true )
| ( ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(183,plain,
! [SV12: $i] :
( ( ( element @ ( sK3_B @ SV12 ) @ ( powerset @ ( the_carrier @ SV12 ) ) )
= $true )
| ( ( top_str @ SV12 )
= $false )
| ( ( topological_space @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(184,plain,
! [SV12: $i] :
( ( ( open_subset @ ( sK3_B @ SV12 ) @ SV12 )
= $true )
| ( ( top_str @ SV12 )
= $false )
| ( ( topological_space @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(185,plain,
! [SV13: $i] :
( ( ( closed_subset @ ( sK7_B @ SV13 ) @ SV13 )
= $true )
| ( ( top_str @ SV13 )
= $false )
| ( ( topological_space @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(186,plain,
! [SV13: $i] :
( ( ( element @ ( sK7_B @ SV13 ) @ ( powerset @ ( the_carrier @ SV13 ) ) )
= $true )
| ( ( top_str @ SV13 )
= $false )
| ( ( topological_space @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(187,plain,
! [SV1: $i,SV14: $i] :
( ( ( closed_subset @ SV14 @ SV1 )
= $false )
| ( ( top_str @ SV1 )
= $false )
| ( ( topological_space @ SV1 )
= $false )
| ( ( ~ ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) ) )
= $true )
| ( ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(188,plain,
! [SV7: $i,SV19: $i] :
( ( ( open_subset @ SV19 @ SV7 )
= $false )
| ( ( top_str @ SV7 )
= $false )
| ( ( topological_space @ SV7 )
= $false )
| ( ( ~ ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) ) )
= $true )
| ( ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(189,plain,
! [SV1: $i,SV14: $i] :
( ( ( element @ SV14 @ ( powerset @ ( the_carrier @ SV1 ) ) )
= $false )
| ( ( topological_space @ SV1 )
= $false )
| ( ( top_str @ SV1 )
= $false )
| ( ( closed_subset @ SV14 @ SV1 )
= $false )
| ( ( open_subset @ ( subset_complement @ ( the_carrier @ SV1 ) @ SV14 ) @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV7: $i,SV19: $i] :
( ( ( element @ SV19 @ ( powerset @ ( the_carrier @ SV7 ) ) )
= $false )
| ( ( topological_space @ SV7 )
= $false )
| ( ( top_str @ SV7 )
= $false )
| ( ( open_subset @ SV19 @ SV7 )
= $false )
| ( ( closed_subset @ ( subset_complement @ ( the_carrier @ SV7 ) @ SV19 ) @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(191,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,190,189,186,185,184,183,181,177,176,166,165,162,146,140,139,132,130,100,95,87,86,82,81,79,76,73]) ).
thf(192,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 12:33:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 20
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.37 (rf:0,axioms:20,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:22,loop_count:0,foatp_calls:0,translation:fof_full)........
% 0.20/0.49
% 0.20/0.49 ********************************
% 0.20/0.49 * All subproblems solved! *
% 0.20/0.49 ********************************
% 0.20/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:22,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:191,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.50
% 0.20/0.50 %**** Beginning of derivation protocol ****
% 0.20/0.50 % SZS output start CNFRefutation
% See solution above
% 0.20/0.50
% 0.20/0.50 %**** End of derivation protocol ****
% 0.20/0.50 %**** no. of clauses in derivation: 192 ****
% 0.20/0.50 %**** clause counter: 191 ****
% 0.20/0.50
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:22,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:191,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------