TSTP Solution File: SEU341+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU341+2 : 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.P765PyWJ7M true
% Computer : n013.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 19:12:15 EDT 2023
% Result : Theorem 221.90s 32.36s
% Output : Refutation 221.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 43 ( 15 unt; 13 typ; 0 def)
% Number of atoms : 108 ( 8 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 372 ( 60 ~; 47 |; 10 &; 234 @)
% ( 1 <=>; 17 =>; 3 <=; 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 : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(open_subset_type,type,
open_subset: $i > $i > $o ).
thf(topological_space_type,type,
topological_space: $i > $o ).
thf(sk__421_type,type,
sk__421: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__420_type,type,
sk__420: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(point_neighbourhood_type,type,
point_neighbourhood: $i > $i > $i > $o ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(interior_type,type,
interior: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__422_type,type,
sk__422: $i ).
thf(t55_tops_1,axiom,
! [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(zip_derived_cl1749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( open_subset @ X1 @ X0 )
| ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ~ ( top_str @ X3 )
| ~ ( topological_space @ X3 ) ),
inference(cnf,[status(esa)],[t55_tops_1]) ).
thf(zip_derived_cl1849,plain,
( ! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( open_subset @ X1 @ X0 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( open_subset @ X1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1749]) ).
thf(t5_connsp_2,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( open_subset @ B @ A )
& ( in @ C @ B ) )
=> ( point_neighbourhood @ B @ A @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( open_subset @ B @ A )
& ( in @ C @ B ) )
=> ( point_neighbourhood @ B @ A @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t5_connsp_2]) ).
thf(zip_derived_cl1761,plain,
element @ sk__421 @ ( powerset @ ( the_carrier @ sk__420 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1848,plain,
( ! [X2: $i,X3: $i] :
( ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ~ ( top_str @ X3 )
| ~ ( topological_space @ X3 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ~ ( top_str @ X3 )
| ~ ( topological_space @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1749]) ).
thf(zip_derived_cl1976,plain,
( ( ~ ( top_str @ sk__420 )
| ~ ( topological_space @ sk__420 ) )
<= ! [X2: $i,X3: $i] :
( ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ~ ( top_str @ X3 )
| ~ ( topological_space @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1761,zip_derived_cl1848]) ).
thf(zip_derived_cl1756,plain,
top_str @ sk__420,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1755,plain,
topological_space @ sk__420,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
~ ! [X2: $i,X3: $i] :
( ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ~ ( top_str @ X3 )
| ~ ( topological_space @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1976,zip_derived_cl1756,zip_derived_cl1755]) ).
thf('1',plain,
( ! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( open_subset @ X1 @ X0 ) )
| ! [X2: $i,X3: $i] :
( ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ~ ( top_str @ X3 )
| ~ ( topological_space @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1749]) ).
thf('2',plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( open_subset @ X1 @ X0 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl1980,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( open_subset @ X1 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1849,'2']) ).
thf(zip_derived_cl1758,plain,
~ ( point_neighbourhood @ sk__421 @ sk__420 @ sk__422 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_connsp_2,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( point_neighbourhood @ C @ A @ B )
<=> ( in @ B @ ( interior @ A @ C ) ) ) ) ) ) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( in @ X0 @ ( interior @ X1 @ X2 ) )
| ( point_neighbourhood @ X2 @ X1 @ X0 )
| ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 )
| ~ ( topological_space @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d1_connsp_2]) ).
thf(zip_derived_cl4364,plain,
( ~ ( element @ sk__422 @ ( the_carrier @ sk__420 ) )
| ~ ( in @ sk__422 @ ( interior @ sk__420 @ sk__421 ) )
| ~ ( element @ sk__421 @ ( powerset @ ( the_carrier @ sk__420 ) ) )
| ~ ( top_str @ sk__420 )
| ~ ( topological_space @ sk__420 )
| ( empty_carrier @ sk__420 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1758,zip_derived_cl141]) ).
thf(zip_derived_cl1757,plain,
element @ sk__422 @ ( the_carrier @ sk__420 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1761_001,plain,
element @ sk__421 @ ( powerset @ ( the_carrier @ sk__420 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1756_002,plain,
top_str @ sk__420,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1755_003,plain,
topological_space @ sk__420,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1754,plain,
~ ( empty_carrier @ sk__420 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4367,plain,
~ ( in @ sk__422 @ ( interior @ sk__420 @ sk__421 ) ),
inference(demod,[status(thm)],[zip_derived_cl4364,zip_derived_cl1757,zip_derived_cl1761,zip_derived_cl1756,zip_derived_cl1755,zip_derived_cl1754]) ).
thf(zip_derived_cl112413,plain,
( ~ ( open_subset @ sk__421 @ sk__420 )
| ~ ( element @ sk__421 @ ( powerset @ ( the_carrier @ sk__420 ) ) )
| ~ ( top_str @ sk__420 )
| ~ ( in @ sk__422 @ sk__421 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1980,zip_derived_cl4367]) ).
thf(zip_derived_cl1760,plain,
open_subset @ sk__421 @ sk__420,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1761_004,plain,
element @ sk__421 @ ( powerset @ ( the_carrier @ sk__420 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1756_005,plain,
top_str @ sk__420,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1759,plain,
in @ sk__422 @ sk__421,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112440,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl112413,zip_derived_cl1760,zip_derived_cl1761,zip_derived_cl1756,zip_derived_cl1759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU341+2 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.P765PyWJ7M true
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 19:27:47 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 221.90/32.36 % Solved by fo/fo1_av.sh.
% 221.90/32.36 % done 16571 iterations in 31.611s
% 221.90/32.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 221.90/32.36 % SZS output start Refutation
% See solution above
% 221.90/32.36
% 221.90/32.36
% 221.90/32.36 % Terminating...
% 221.90/32.36 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 222.63/32.50 % Runner terminated.
% 222.63/32.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------