%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU319+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FyWo9oQCOW true
% Computer : n027.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 04:54:13 PM UTC 2025
% Result : Theorem 0.55s 0.82s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 409 ( 36 ~; 35 |; 0 &; 326 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_difference_type,type,
subset_difference: $i > $i > $i > $i ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(open_subset_type,type,
open_subset: $i > $i > $o ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(closed_subset_type,type,
closed_subset: $i > $i > $o ).
thf(t29_tops_1,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ),
inference('cnf.neg',[status(esa)],[t29_tops_1]) ).
thf(zip_derived_cl18,plain,
top_str @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_l1_pre_topc,axiom,
! [A: $i] :
( ( top_str @ A )
=> ( one_sorted_str @ A ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( one_sorted_str @ X0 )
| ~ ( top_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).
thf(zip_derived_cl116,plain,
one_sorted_str @ sk__3,
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl7]) ).
thf(t17_pre_topc,axiom,
! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( subset_complement @ ( the_carrier @ A ) @ B )
= ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ B ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ( ( subset_complement @ ( the_carrier @ X1 ) @ X0 )
= ( subset_difference @ ( the_carrier @ X1 ) @ ( cast_as_carrier_subset @ X1 ) @ X0 ) )
| ~ ( one_sorted_str @ X1 ) ),
inference(cnf,[status(esa)],[t17_pre_topc]) ).
thf(zip_derived_cl128,plain,
! [X0: $i] :
( ( ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 )
= ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl116,zip_derived_cl17]) ).
thf(zip_derived_cl18_001,plain,
top_str @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d6_pre_topc,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( closed_subset @ B @ A )
<=> ( open_subset @ ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ B ) @ A ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( open_subset @ ( subset_difference @ ( the_carrier @ X1 ) @ ( cast_as_carrier_subset @ X1 ) @ X0 ) @ X1 )
| ( closed_subset @ X0 @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d6_pre_topc]) ).
thf(zip_derived_cl20,plain,
( ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( closed_subset @ sk__4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
( ~ ( top_str @ sk__3 )
| ~ ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl20]) ).
thf(zip_derived_cl119,plain,
( ( sk__3 != sk__3 )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ~ ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl104]) ).
thf(zip_derived_cl136,plain,
( ~ ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl21,plain,
element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl137,plain,
( ~ ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl21]) ).
thf(zip_derived_cl128_002,plain,
! [X0: $i] :
( ( ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 )
= ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl116,zip_derived_cl17]) ).
thf(zip_derived_cl18_003,plain,
top_str @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
( ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( closed_subset @ sk__4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( closed_subset @ X0 @ X1 )
| ( open_subset @ ( subset_difference @ ( the_carrier @ X1 ) @ ( cast_as_carrier_subset @ X1 ) @ X0 ) @ X1 )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d6_pre_topc]) ).
thf(zip_derived_cl105,plain,
( ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( top_str @ sk__3 )
| ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).
thf(zip_derived_cl122,plain,
( ( sk__3 != sk__3 )
| ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl105]) ).
thf(zip_derived_cl144,plain,
( ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl21_004,plain,
element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl145,plain,
( ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl21]) ).
thf(zip_derived_cl171,plain,
( ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl145]) ).
thf(zip_derived_cl21_005,plain,
element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl21]) ).
thf(zip_derived_cl179,plain,
open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl180,plain,
~ ( open_subset @ ( subset_difference @ ( the_carrier @ sk__3 ) @ ( cast_as_carrier_subset @ sk__3 ) @ sk__4 ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl179]) ).
thf(zip_derived_cl185,plain,
( ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl180]) ).
thf(zip_derived_cl21_006,plain,
element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl179_007,plain,
open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl187,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl21,zip_derived_cl179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU319+1 : TPTP v9.2.0. Released v3.3.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FyWo9oQCOW true
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 16:14:53 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.82 % Solved by fo/fo6_bce.sh.
% 0.55/0.82 % BCE start: 24
% 0.55/0.82 % BCE eliminated: 0
% 0.55/0.82 % PE start: 24
% 0.55/0.82 logic: eq
% 0.55/0.82 % PE eliminated: 2
% 0.55/0.82 % done 31 iterations in 0.041s
% 0.55/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.82 % SZS output start Refutation
% See solution above
% 0.55/0.83
% 0.55/0.83
% 0.55/0.83 % Terminating...
% 1.55/0.88 % Runner terminated.
% 1.55/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------