TSTP Solution File: SEU324+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU324+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gEu0hbnNk8 true
% Computer : n002.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 19:12:09 EDT 2023
% Result : Theorem 1.22s 0.82s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 65 ( 10 unt; 14 typ; 0 def)
% Number of atoms : 148 ( 39 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 567 ( 70 ~; 59 |; 8 &; 400 @)
% ( 1 <=>; 23 =>; 6 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 0 ^; 52 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(open_subset_type,type,
open_subset: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(closed_subset_type,type,
closed_subset: $i > $i > $o ).
thf(topological_space_type,type,
topological_space: $i > $o ).
thf(topstr_closure_type,type,
topstr_closure: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(interior_type,type,
interior: $i > $i > $i ).
thf(t55_tops_1,conjecture,
! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( top_str @ B )
=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [D: $i] :
( ( element @ D @ ( powerset @ ( the_carrier @ B ) ) )
=> ( ( ( open_subset @ D @ B )
=> ( ( interior @ B @ D )
= D ) )
& ( ( ( interior @ A @ C )
= C )
=> ( open_subset @ C @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( top_str @ B )
=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [D: $i] :
( ( element @ D @ ( powerset @ ( the_carrier @ B ) ) )
=> ( ( ( open_subset @ D @ B )
=> ( ( interior @ B @ D )
= D ) )
& ( ( ( interior @ A @ C )
= C )
=> ( open_subset @ C @ A ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t55_tops_1]) ).
thf(zip_derived_cl37,plain,
( ( open_subset @ sk__9 @ sk__7 )
| ( ( interior @ sk__6 @ sk__8 )
= sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( ( interior @ sk__6 @ sk__8 )
= sk__8 )
| ( open_subset @ sk__9 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
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_cl25,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( open_subset @ X0 @ X1 )
| ( closed_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[t30_tops_1]) ).
thf(involutiveness_k3_subset_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( ( subset_complement @ A @ ( subset_complement @ A @ B ) )
= B ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( ( subset_complement @ X1 @ ( subset_complement @ X1 @ X0 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[involutiveness_k3_subset_1]) ).
thf(t52_pre_topc,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( ( closed_subset @ B @ A )
=> ( ( topstr_closure @ A @ B )
= B ) )
& ( ( ( topological_space @ A )
& ( ( topstr_closure @ A @ B )
= B ) )
=> ( closed_subset @ B @ A ) ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( closed_subset @ X0 @ X1 )
| ( ( topstr_closure @ X1 @ X0 )
= X0 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[t52_pre_topc]) ).
thf(zip_derived_cl16_001,plain,
! [X0: $i,X1: $i] :
( ( ( subset_complement @ X1 @ ( subset_complement @ X1 @ X0 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[involutiveness_k3_subset_1]) ).
thf(d1_tops_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 ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ( ( interior @ X1 @ X0 )
= ( subset_complement @ ( the_carrier @ X1 ) @ ( topstr_closure @ X1 @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) ) ) )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d1_tops_1]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( element @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ ( powerset @ ( the_carrier @ X1 ) ) )
| ( ( interior @ X1 @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) )
= ( subset_complement @ ( the_carrier @ X1 ) @ ( topstr_closure @ X1 @ X0 ) ) )
| ~ ( top_str @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).
thf(dt_k3_subset_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( element @ ( subset_complement @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k3_subset_1]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X1 )
| ( ( interior @ X1 @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) )
= ( subset_complement @ ( the_carrier @ X1 ) @ ( topstr_closure @ X1 @ X0 ) ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl3]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X1 )
| ~ ( closed_subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 )
| ( ( interior @ X1 @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) )
= ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl110]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ( ( interior @ X1 @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) )
= ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( closed_subset @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ( ( interior @ X1 @ X0 )
= X0 )
| ~ ( element @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ~ ( top_str @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl121]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( element @ ( subset_complement @ X0 @ X1 ) @ ( powerset @ X0 ) )
| ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[dt_k3_subset_1]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X1 )
| ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ( ( interior @ X1 @ X0 )
= X0 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl131,zip_derived_cl3]) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( open_subset @ X1 @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( top_str @ X0 )
| ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl138]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i] :
( ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( open_subset @ X1 @ X0 )
| ~ ( top_str @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl140]) ).
thf(zip_derived_cl34,plain,
( ( ( interior @ sk__7 @ sk__9 )
!= sk__9 )
| ~ ( open_subset @ sk__8 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
( ( ( interior @ sk__7 @ sk__9 )
!= sk__9 )
<= ( ( interior @ sk__7 @ sk__9 )
!= sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('1',plain,
( ( ( interior @ sk__7 @ sk__9 )
!= sk__9 )
| ~ ( open_subset @ sk__8 @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl35,plain,
( ( ( interior @ sk__7 @ sk__9 )
!= sk__9 )
| ( ( interior @ sk__6 @ sk__8 )
= sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( ( interior @ sk__6 @ sk__8 )
= sk__8 )
| ( ( interior @ sk__7 @ sk__9 )
!= sk__9 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl42,plain,
( ( ( interior @ sk__6 @ sk__8 )
= sk__8 )
<= ( ( interior @ sk__6 @ sk__8 )
= sk__8 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(fc6_tops_1,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( open_subset @ ( interior @ A @ B ) @ A ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( open_subset @ ( interior @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[fc6_tops_1]) ).
thf(zip_derived_cl59,plain,
( ( ~ ( top_str @ sk__6 )
| ~ ( topological_space @ sk__6 )
| ~ ( element @ sk__8 @ ( powerset @ ( the_carrier @ sk__6 ) ) )
| ( open_subset @ sk__8 @ sk__6 ) )
<= ( ( interior @ sk__6 @ sk__8 )
= sk__8 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl15]) ).
thf(zip_derived_cl32,plain,
top_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
topological_space @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
element @ sk__8 @ ( powerset @ ( the_carrier @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl60,plain,
( ( open_subset @ sk__8 @ sk__6 )
<= ( ( interior @ sk__6 @ sk__8 )
= sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl32,zip_derived_cl31,zip_derived_cl33]) ).
thf(zip_derived_cl40,plain,
( ~ ( open_subset @ sk__8 @ sk__6 )
<= ~ ( open_subset @ sk__8 @ sk__6 ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('3',plain,
( ( open_subset @ sk__8 @ sk__6 )
| ( ( interior @ sk__6 @ sk__8 )
!= sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl40]) ).
thf('4',plain,
( ( interior @ sk__7 @ sk__9 )
!= sk__9 ),
inference('sat_resolution*',[status(thm)],['1','2','3']) ).
thf(zip_derived_cl62,plain,
( ( interior @ sk__7 @ sk__9 )
!= sk__9 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl41,'4']) ).
thf(zip_derived_cl150,plain,
( ~ ( top_str @ sk__7 )
| ~ ( open_subset @ sk__9 @ sk__7 )
| ~ ( element @ sk__9 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
| ( sk__9 != sk__9 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl62]) ).
thf(zip_derived_cl39,plain,
top_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38,plain,
element @ sk__9 @ ( powerset @ ( the_carrier @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153,plain,
( ~ ( open_subset @ sk__9 @ sk__7 )
| ( sk__9 != sk__9 ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl39,zip_derived_cl38]) ).
thf(zip_derived_cl154,plain,
~ ( open_subset @ sk__9 @ sk__7 ),
inference(simplify,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl36,plain,
( ( open_subset @ sk__9 @ sk__7 )
| ~ ( open_subset @ sk__8 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
( ( open_subset @ sk__9 @ sk__7 )
<= ( open_subset @ sk__9 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf('5',plain,
~ ( open_subset @ sk__9 @ sk__7 ),
inference('s_sup+',[status(thm)],[zip_derived_cl154,zip_derived_cl44]) ).
thf('6',plain,
( ~ ( open_subset @ sk__8 @ sk__6 )
| ( open_subset @ sk__9 @ sk__7 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl185,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','5','6','3']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU324+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gEu0hbnNk8 true
% 0.16/0.36 % Computer : n002.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 23 15:15:01 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.82 % Solved by fo/fo1_av.sh.
% 1.22/0.82 % done 61 iterations in 0.044s
% 1.22/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/0.82 % SZS output start Refutation
% See solution above
% 1.22/0.82
% 1.22/0.82
% 1.22/0.82 % Terminating...
% 1.62/0.89 % Runner terminated.
% 1.65/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------