TSTP Solution File: SEU336+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DvYJvnM1nO true
% Computer : n025.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 : 300s
% DateTime : Thu Aug 31 19:12:13 EDT 2023
% Result : Theorem 203.94s 29.94s
% Output : Refutation 203.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 118 ( 37 unt; 15 typ; 0 def)
% Number of atoms : 257 ( 12 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1212 ( 111 ~; 123 |; 1 &; 947 @)
% ( 8 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 0 ^; 95 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
thf(top_str_type,type,
top_str: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(closed_subset_type,type,
closed_subset: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(open_subsets_type,type,
open_subsets: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(complements_of_subsets_type,type,
complements_of_subsets: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(open_subset_type,type,
open_subset: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(closed_subsets_type,type,
closed_subsets: $i > $i > $o ).
thf(t16_tops_2,conjecture,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ( closed_subsets @ B @ A )
<=> ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ A ) @ B ) @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ( closed_subsets @ B @ A )
<=> ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ A ) @ B ) @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t16_tops_2]) ).
thf(zip_derived_cl87,plain,
element @ sk__10 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k7_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( element @ ( complements_of_subsets @ A @ B ) @ ( powerset @ ( powerset @ A ) ) ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ( element @ ( complements_of_subsets @ X0 @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k7_setfam_1]) ).
thf(zip_derived_cl911,plain,
element @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl56]) ).
thf(d1_tops_2,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ( open_subsets @ B @ A )
<=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( in @ C @ B )
=> ( open_subset @ C @ A ) ) ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ( element @ ( sk_ @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ X1 ) ) )
| ( open_subsets @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d1_tops_2]) ).
thf(zip_derived_cl1207,plain,
( ~ ( top_str @ sk__9 )
| ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ( element @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ ( powerset @ ( the_carrier @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl911,zip_derived_cl43]) ).
thf(zip_derived_cl84,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1220,plain,
( ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ( element @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ ( powerset @ ( the_carrier @ sk__9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1207,zip_derived_cl84]) ).
thf(zip_derived_cl86,plain,
( ~ ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ~ ( closed_subsets @ sk__10 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87_001,plain,
element @ sk__10 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_tops_2,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ( closed_subsets @ B @ A )
<=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( in @ C @ B )
=> ( closed_subset @ C @ A ) ) ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ( in @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ( closed_subsets @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d2_tops_2]) ).
thf(zip_derived_cl1394,plain,
( ~ ( top_str @ sk__9 )
| ( closed_subsets @ sk__10 @ sk__9 )
| ( in @ ( sk__1 @ sk__10 @ sk__9 ) @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl45]) ).
thf(zip_derived_cl84_002,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1403,plain,
( ( closed_subsets @ sk__10 @ sk__9 )
| ( in @ ( sk__1 @ sk__10 @ sk__9 ) @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1394,zip_derived_cl84]) ).
thf(zip_derived_cl87_003,plain,
element @ sk__10 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl911_004,plain,
element @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl56]) ).
thf(d8_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( powerset @ A ) ) )
=> ( ( C
= ( complements_of_subsets @ A @ B ) )
<=> ! [D: $i] :
( ( element @ D @ ( powerset @ A ) )
=> ( ( in @ D @ C )
<=> ( in @ ( subset_complement @ A @ D ) @ B ) ) ) ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
| ( X0
!= ( complements_of_subsets @ X1 @ X2 ) )
| ( in @ ( subset_complement @ X1 @ X3 ) @ X2 )
| ~ ( in @ X3 @ X0 )
| ~ ( element @ X3 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[d8_setfam_1]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl1811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X2 @ ( powerset @ ( powerset @ X1 ) ) )
| ~ ( in @ X3 @ X0 )
| ( in @ ( subset_complement @ X1 @ X3 ) @ X2 )
| ( X0
!= ( complements_of_subsets @ X1 @ X2 ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl96]) ).
thf(zip_derived_cl1814,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ) )
| ( X0
!= ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) ) )
| ( in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ X1 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ~ ( in @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl911,zip_derived_cl1811]) ).
thf(zip_derived_cl87_005,plain,
element @ sk__10 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(involutiveness_k7_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ( complements_of_subsets @ A @ ( complements_of_subsets @ A @ B ) )
= B ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[involutiveness_k7_setfam_1]) ).
thf(zip_derived_cl925,plain,
( ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
= sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl72]) ).
thf(zip_derived_cl79563,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ) )
| ( X0 != sk__10 )
| ( in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ X1 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1814,zip_derived_cl925]) ).
thf(zip_derived_cl79612,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__10 )
| ( in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ X0 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ( sk__10 != sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl79563]) ).
thf(zip_derived_cl79646,plain,
! [X0: $i] :
( ( in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ X0 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ~ ( in @ X0 @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl79612]) ).
thf(zip_derived_cl79679,plain,
( ( closed_subsets @ sk__10 @ sk__9 )
| ( in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk__1 @ sk__10 @ sk__9 ) ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1403,zip_derived_cl79646]) ).
thf(zip_derived_cl85,plain,
( ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ( closed_subsets @ sk__10 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl911_006,plain,
element @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl56]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ~ ( open_subsets @ X0 @ X1 )
| ~ ( in @ X2 @ X0 )
| ( open_subset @ X2 @ X1 )
| ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d1_tops_2]) ).
thf(zip_derived_cl963,plain,
! [X0: $i] :
( ~ ( top_str @ sk__9 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__9 ) ) )
| ( open_subset @ X0 @ sk__9 )
| ~ ( in @ X0 @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ~ ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl911,zip_derived_cl40]) ).
thf(zip_derived_cl84_007,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl989,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__9 ) ) )
| ( open_subset @ X0 @ sk__9 )
| ~ ( in @ X0 @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ~ ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl963,zip_derived_cl84]) ).
thf(zip_derived_cl911_008,plain,
element @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl56]) ).
thf(zip_derived_cl96_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl968,plain,
! [X0: $i] :
( ( element @ X0 @ ( powerset @ ( the_carrier @ sk__9 ) ) )
| ~ ( in @ X0 @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl911,zip_derived_cl96]) ).
thf(zip_derived_cl6385,plain,
! [X0: $i] :
( ~ ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ~ ( in @ X0 @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ( open_subset @ X0 @ sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl989,zip_derived_cl968]) ).
thf(zip_derived_cl6386,plain,
! [X0: $i] :
( ( closed_subsets @ sk__10 @ sk__9 )
| ( open_subset @ X0 @ sk__9 )
| ~ ( in @ X0 @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl6385]) ).
thf(zip_derived_cl93130,plain,
( ( closed_subsets @ sk__10 @ sk__9 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk__1 @ sk__10 @ sk__9 ) ) @ sk__9 )
| ( closed_subsets @ sk__10 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl79679,zip_derived_cl6386]) ).
thf(zip_derived_cl93189,plain,
( ( open_subset @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk__1 @ sk__10 @ sk__9 ) ) @ sk__9 )
| ( closed_subsets @ sk__10 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl93130]) ).
thf(zip_derived_cl1403_010,plain,
( ( closed_subsets @ sk__10 @ sk__9 )
| ( in @ ( sk__1 @ sk__10 @ sk__9 ) @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1394,zip_derived_cl84]) ).
thf(zip_derived_cl87_011,plain,
element @ sk__10 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl96_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl866,plain,
! [X0: $i] :
( ( element @ X0 @ ( powerset @ ( the_carrier @ sk__9 ) ) )
| ~ ( in @ X0 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl96]) ).
thf(zip_derived_cl1489,plain,
( ( closed_subsets @ sk__10 @ sk__9 )
| ( element @ ( sk__1 @ sk__10 @ sk__9 ) @ ( powerset @ ( the_carrier @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1403,zip_derived_cl866]) ).
thf(t29_tops_1,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( closed_subset @ B @ A )
<=> ( open_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ( closed_subset @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[t29_tops_1]) ).
thf(zip_derived_cl3772,plain,
( ( closed_subsets @ sk__10 @ sk__9 )
| ~ ( top_str @ sk__9 )
| ( closed_subset @ ( sk__1 @ sk__10 @ sk__9 ) @ sk__9 )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk__1 @ sk__10 @ sk__9 ) ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1489,zip_derived_cl90]) ).
thf(zip_derived_cl84_013,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3791,plain,
( ( closed_subsets @ sk__10 @ sk__9 )
| ( closed_subset @ ( sk__1 @ sk__10 @ sk__9 ) @ sk__9 )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk__1 @ sk__10 @ sk__9 ) ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl3772,zip_derived_cl84]) ).
thf(zip_derived_cl87_014,plain,
element @ sk__10 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ~ ( closed_subset @ ( sk__1 @ X0 @ X1 ) @ X1 )
| ( closed_subsets @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d2_tops_2]) ).
thf(zip_derived_cl1533,plain,
( ~ ( top_str @ sk__9 )
| ( closed_subsets @ sk__10 @ sk__9 )
| ~ ( closed_subset @ ( sk__1 @ sk__10 @ sk__9 ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl46]) ).
thf(zip_derived_cl84_015,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1542,plain,
( ( closed_subsets @ sk__10 @ sk__9 )
| ~ ( closed_subset @ ( sk__1 @ sk__10 @ sk__9 ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl1533,zip_derived_cl84]) ).
thf(zip_derived_cl14715,plain,
( ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk__1 @ sk__10 @ sk__9 ) ) @ sk__9 )
| ( closed_subsets @ sk__10 @ sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl3791,zip_derived_cl1542]) ).
thf(zip_derived_cl93297,plain,
closed_subsets @ sk__10 @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl93189,zip_derived_cl14715]) ).
thf(zip_derived_cl93298,plain,
~ ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl93297]) ).
thf(zip_derived_cl93316,plain,
element @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ ( powerset @ ( the_carrier @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl1220,zip_derived_cl93298]) ).
thf(t30_tops_1,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( open_subset @ B @ A )
<=> ( closed_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ( open_subset @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[t30_tops_1]) ).
thf(zip_derived_cl95339,plain,
( ~ ( top_str @ sk__9 )
| ( open_subset @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ sk__9 )
| ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93316,zip_derived_cl93]) ).
thf(zip_derived_cl84_016,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl911_017,plain,
element @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl56]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ~ ( open_subset @ ( sk_ @ X0 @ X1 ) @ X1 )
| ( open_subsets @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d1_tops_2]) ).
thf(zip_derived_cl1034,plain,
( ~ ( top_str @ sk__9 )
| ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ~ ( open_subset @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl911,zip_derived_cl42]) ).
thf(zip_derived_cl84_018,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1045,plain,
( ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ~ ( open_subset @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl84]) ).
thf(zip_derived_cl93298_019,plain,
~ ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl93297]) ).
thf(zip_derived_cl93315,plain,
~ ( open_subset @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl1045,zip_derived_cl93298]) ).
thf(zip_derived_cl95402,plain,
~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) ) @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl95339,zip_derived_cl84,zip_derived_cl93315]) ).
thf(zip_derived_cl911_020,plain,
element @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl56]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( open_subsets @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d1_tops_2]) ).
thf(zip_derived_cl964,plain,
( ~ ( top_str @ sk__9 )
| ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ( in @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl911,zip_derived_cl41]) ).
thf(zip_derived_cl84_021,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl990,plain,
( ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 )
| ( in @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl964,zip_derived_cl84]) ).
thf(zip_derived_cl93298_022,plain,
~ ( open_subsets @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl93297]) ).
thf(zip_derived_cl93314,plain,
in @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl990,zip_derived_cl93298]) ).
thf(zip_derived_cl911_023,plain,
element @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl56]) ).
thf(zip_derived_cl87_024,plain,
element @ sk__10 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1811_025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X2 @ ( powerset @ ( powerset @ X1 ) ) )
| ~ ( in @ X3 @ X0 )
| ( in @ ( subset_complement @ X1 @ X3 ) @ X2 )
| ( X0
!= ( complements_of_subsets @ X1 @ X2 ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl48,zip_derived_cl96]) ).
thf(zip_derived_cl1820,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ) )
| ( X0
!= ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ( in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ X1 ) @ sk__10 )
| ~ ( in @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl1811]) ).
thf(zip_derived_cl12256,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) )
| ( in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ X0 ) @ sk__10 )
| ( ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 )
!= ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl911,zip_derived_cl1820]) ).
thf(zip_derived_cl12284,plain,
! [X0: $i] :
( ( in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ X0 ) @ sk__10 )
| ~ ( in @ X0 @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12256]) ).
thf(zip_derived_cl96892,plain,
in @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) ) @ sk__10,
inference('sup-',[status(thm)],[zip_derived_cl93314,zip_derived_cl12284]) ).
thf(zip_derived_cl87_026,plain,
element @ sk__10 @ ( powerset @ ( powerset @ ( the_carrier @ sk__9 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) )
| ~ ( closed_subsets @ X0 @ X1 )
| ~ ( in @ X2 @ X0 )
| ( closed_subset @ X2 @ X1 )
| ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d2_tops_2]) ).
thf(zip_derived_cl96_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl1298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X1 )
| ( closed_subset @ X2 @ X1 )
| ~ ( in @ X2 @ X0 )
| ~ ( closed_subsets @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ X1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl96]) ).
thf(zip_derived_cl1306,plain,
! [X0: $i] :
( ~ ( closed_subsets @ sk__10 @ sk__9 )
| ~ ( in @ X0 @ sk__10 )
| ( closed_subset @ X0 @ sk__9 )
| ~ ( top_str @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl1298]) ).
thf(zip_derived_cl84_028,plain,
top_str @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1315,plain,
! [X0: $i] :
( ~ ( closed_subsets @ sk__10 @ sk__9 )
| ~ ( in @ X0 @ sk__10 )
| ( closed_subset @ X0 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl1306,zip_derived_cl84]) ).
thf(zip_derived_cl93297_029,plain,
closed_subsets @ sk__10 @ sk__9,
inference(clc,[status(thm)],[zip_derived_cl93189,zip_derived_cl14715]) ).
thf(zip_derived_cl93303,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__10 )
| ( closed_subset @ X0 @ sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl1315,zip_derived_cl93297]) ).
thf(zip_derived_cl146919,plain,
closed_subset @ ( subset_complement @ ( the_carrier @ sk__9 ) @ ( sk_ @ ( complements_of_subsets @ ( the_carrier @ sk__9 ) @ sk__10 ) @ sk__9 ) ) @ sk__9,
inference('sup-',[status(thm)],[zip_derived_cl96892,zip_derived_cl93303]) ).
thf(zip_derived_cl148928,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl95402,zip_derived_cl146919]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DvYJvnM1nO true
% 0.15/0.37 % Computer : n025.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 23 20:37:21 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 203.94/29.94 % Solved by fo/fo5.sh.
% 203.94/29.94 % done 13178 iterations in 29.095s
% 203.94/29.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 203.94/29.94 % SZS output start Refutation
% See solution above
% 203.94/29.94
% 203.94/29.94
% 203.94/29.94 % Terminating...
% 204.69/30.24 % Runner terminated.
% 204.69/30.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------