TSTP Solution File: SEU320+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU320+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.6AEOvVk1Ki true
% Computer : n001.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 19:12:07 EDT 2023
% Result : Theorem 0.22s 0.75s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 70 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 318 ( 31 ~; 28 |; 0 &; 248 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% 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_cl16,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_cl13,plain,
top_str @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl72,plain,
! [X0: $i] :
( ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 ) @ sk__3 )
| ~ ( closed_subset @ X0 @ sk__3 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ( open_subset @ X0 @ sk__3 )
| ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 ) @ sk__3 )
| ~ ( element @ ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 ) @ ( powerset @ ( the_carrier @ sk__3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl72]) ).
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_cl163,plain,
! [X0: $i] :
( ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 ) @ sk__3 )
| ( open_subset @ X0 @ sk__3 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__3 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl143,zip_derived_cl1]) ).
thf(zip_derived_cl167,plain,
( ~ ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ( open_subset @ sk__4 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl163]) ).
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_cl9_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(zip_derived_cl16_002,plain,
element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_003,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_cl13_004,plain,
top_str @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl73,plain,
! [X0: $i] :
( ( closed_subset @ X0 @ sk__3 )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 ) @ sk__3 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__3 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl12]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 ) @ sk__3 )
| ~ ( open_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ ( subset_complement @ ( the_carrier @ sk__3 ) @ X0 ) ) @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl73]) ).
thf(zip_derived_cl149,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 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl132]) ).
thf(zip_derived_cl159,plain,
( ~ ( element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ) )
| ( closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3 )
| ~ ( open_subset @ sk__4 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl149]) ).
thf(zip_derived_cl16_005,plain,
element @ sk__4 @ ( powerset @ ( the_carrier @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl160,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_cl159,zip_derived_cl16]) ).
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_cl161,plain,
~ ( open_subset @ sk__4 @ sk__3 ),
inference(clc,[status(thm)],[zip_derived_cl160,zip_derived_cl15]) ).
thf(zip_derived_cl162,plain,
closed_subset @ ( subset_complement @ ( the_carrier @ sk__3 ) @ sk__4 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl161]) ).
thf(zip_derived_cl161_006,plain,
~ ( open_subset @ sk__4 @ sk__3 ),
inference(clc,[status(thm)],[zip_derived_cl160,zip_derived_cl15]) ).
thf(zip_derived_cl168,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl167,zip_derived_cl162,zip_derived_cl161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6AEOvVk1Ki true
% 0.14/0.35 % Computer : n001.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 : Thu Aug 24 01:15:25 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
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % Solved by fo/fo6_bce.sh.
% 0.22/0.75 % BCE start: 19
% 0.22/0.75 % BCE eliminated: 2
% 0.22/0.75 % PE start: 17
% 0.22/0.75 logic: eq
% 0.22/0.75 % PE eliminated: 2
% 0.22/0.75 % done 26 iterations in 0.018s
% 0.22/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.75 % SZS output start Refutation
% See solution above
% 0.22/0.75
% 0.22/0.75
% 0.22/0.75 % Terminating...
% 0.22/0.77 % Runner terminated.
% 0.22/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------