%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU320+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e0nh2Qcs9y true
% Computer : n029.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 Oct 2 04:54:14 PM UTC 2025
% Result : Theorem 0.37s 2.22s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 230 ( 18 ~; 15 |; 0 &; 186 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(open_subset_type,type,
open_subset: $i > $i > $o ).
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(the_carrier_type,type,
the_carrier: $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(t30_tops_1,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ),
inference('cnf.neg',[status(esa)],[t30_tops_1]) ).
thf(zip_derived_cl15,plain,
( ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( open_subset @ sk__4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k3_subset_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl1,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_cl20,plain,
element @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1]) ).
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_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( closed_subset @ X0 @ X1 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[t29_tops_1]) ).
thf(zip_derived_cl58,plain,
( ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) ) @ sk__3 )
| ~ ( top_str @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf(zip_derived_cl16_001,plain,
element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl9,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(zip_derived_cl36,plain,
( ( subset_complement @ ( the_carrier @ sk__3 ) @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) )
= sk__4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
top_str @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
( ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ sk__4 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl36,zip_derived_cl13]) ).
thf(zip_derived_cl14,plain,
( ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ sk__4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75,plain,
open_subset @ sk__4 @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl14]) ).
thf(zip_derived_cl76,plain,
~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl75]) ).
thf(zip_derived_cl12,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_cl77,plain,
( ~ ( element @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) ) @ sk__3 )
| ~ ( top_str @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl12]) ).
thf(zip_derived_cl20_002,plain,
element @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1]) ).
thf(zip_derived_cl36_003,plain,
( ( subset_complement @ ( the_carrier @ sk__3 ) @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) )
= sk__4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl9]) ).
thf(zip_derived_cl75_004,plain,
open_subset @ sk__4 @ sk__3,
inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl14]) ).
thf(zip_derived_cl13_005,plain,
top_str @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl20,zip_derived_cl36,zip_derived_cl75,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.99 % Problem : SEU320+1 : TPTP v9.2.0. Released v3.3.0.
% 0.10/1.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e0nh2Qcs9y true
% 0.12/1.42 % Computer : n029.cluster.edu
% 0.12/1.42 % Model : x86_64 x86_64
% 0.12/1.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.42 % Memory : 8042.1875MB
% 0.12/1.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/1.42 % CPULimit : 300
% 0.12/1.42 % WCLimit : 300
% 0.12/1.42 % DateTime : Wed Oct 1 16:04:24 EDT 2025
% 0.12/1.42 % CPUTime :
% 0.12/1.42 % Running portfolio for 300 s
% 0.12/1.42 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/1.42 % Number of cores: 8
% 0.14/1.44 % Python version: Python 3.6.8
% 0.14/1.45 % Running in FO mode
% 0.36/1.82 % Total configuration time : 435
% 0.36/1.82 % Estimated wc time : 1092
% 0.36/1.82 % Estimated cpu time (7 cpus) : 156.0
% 0.36/2.04 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.37/2.11 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.37/2.12 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.37/2.14 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.37/2.16 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.37/2.18 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.37/2.18 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.37/2.22 % Solved by fo/fo13.sh.
% 0.37/2.22 % done 33 iterations in 0.018s
% 0.37/2.22 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.37/2.22 % SZS output start Refutation
% See solution above
% 0.37/2.22
% 0.37/2.22
% 0.37/2.22 % Terminating...
% 1.16/2.53 % Runner terminated.
% 1.19/2.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------