TSTP Solution File: SEU319+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU319+2 : 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.vR1g40tn9r true
% Computer : n012.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 19:12:06 EDT 2023
% Result : Theorem 214.90s 31.30s
% Output : Refutation 214.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 42 ( 8 unt; 12 typ; 0 def)
% Number of atoms : 86 ( 3 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 349 ( 45 ~; 44 |; 0 &; 248 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
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(closed_subset_type,type,
closed_subset: $i > $i > $o ).
thf(subset_difference_type,type,
subset_difference: $i > $i > $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(sk__23_type,type,
sk__23: $i ).
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_cl79,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(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_cl18,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_cl2771,plain,
! [X0: $i,X1: $i] :
( ( open_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ~ ( one_sorted_str @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 )
| ~ ( closed_subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl18]) ).
thf(zip_derived_cl2773,plain,
! [X0: $i,X1: $i] :
( ~ ( closed_subset @ X0 @ X1 )
| ~ ( top_str @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( one_sorted_str @ X1 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2771]) ).
thf(dt_l1_pre_topc,axiom,
! [A: $i] :
( ( top_str @ A )
=> ( one_sorted_str @ A ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] :
( ( one_sorted_str @ X0 )
| ~ ( top_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).
thf(zip_derived_cl131169,plain,
! [X0: $i,X1: $i] :
( ( open_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 )
| ~ ( closed_subset @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2773,zip_derived_cl26]) ).
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_cl91,plain,
( ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__23 ) @ sk__24 ) @ sk__23 )
| ~ ( closed_subset @ sk__24 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl90,plain,
( ( open_subset @ ( subset_complement @ ( the_carrier @ sk__23 ) @ sk__24 ) @ sk__23 )
| ( closed_subset @ sk__24 @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79_001,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_cl19,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_cl2772,plain,
! [X0: $i,X1: $i] :
( ~ ( open_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ~ ( one_sorted_str @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 )
| ( closed_subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl19]) ).
thf(zip_derived_cl2774,plain,
! [X0: $i,X1: $i] :
( ( closed_subset @ X0 @ X1 )
| ~ ( top_str @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( one_sorted_str @ X1 )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2772]) ).
thf(zip_derived_cl26_002,plain,
! [X0: $i] :
( ( one_sorted_str @ X0 )
| ~ ( top_str @ X0 ) ),
inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).
thf(zip_derived_cl97071,plain,
! [X0: $i,X1: $i] :
( ~ ( open_subset @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 )
| ( closed_subset @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2774,zip_derived_cl26]) ).
thf(zip_derived_cl97095,plain,
( ( closed_subset @ sk__24 @ sk__23 )
| ( closed_subset @ sk__24 @ sk__23 )
| ~ ( top_str @ sk__23 )
| ~ ( element @ sk__24 @ ( powerset @ ( the_carrier @ sk__23 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl97071]) ).
thf(zip_derived_cl89,plain,
top_str @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92,plain,
element @ sk__24 @ ( powerset @ ( the_carrier @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97113,plain,
( ( closed_subset @ sk__24 @ sk__23 )
| ( closed_subset @ sk__24 @ sk__23 ) ),
inference(demod,[status(thm)],[zip_derived_cl97095,zip_derived_cl89,zip_derived_cl92]) ).
thf(zip_derived_cl97114,plain,
closed_subset @ sk__24 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl97113]) ).
thf(zip_derived_cl97272,plain,
~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__23 ) @ sk__24 ) @ sk__23 ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl97114]) ).
thf(zip_derived_cl131197,plain,
( ~ ( closed_subset @ sk__24 @ sk__23 )
| ~ ( top_str @ sk__23 )
| ~ ( element @ sk__24 @ ( powerset @ ( the_carrier @ sk__23 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl131169,zip_derived_cl97272]) ).
thf(zip_derived_cl97114_003,plain,
closed_subset @ sk__24 @ sk__23,
inference(simplify,[status(thm)],[zip_derived_cl97113]) ).
thf(zip_derived_cl89_004,plain,
top_str @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92_005,plain,
element @ sk__24 @ ( powerset @ ( the_carrier @ sk__23 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl131247,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl131197,zip_derived_cl97114,zip_derived_cl89,zip_derived_cl92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU319+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vR1g40tn9r true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 20:01:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 214.90/31.30 % Solved by fo/fo4.sh.
% 214.90/31.30 % done 18211 iterations in 30.501s
% 214.90/31.30 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 214.90/31.30 % SZS output start Refutation
% See solution above
% 214.90/31.30
% 214.90/31.30
% 214.90/31.30 % Terminating...
% 214.90/31.39 % Runner terminated.
% 214.93/31.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------