TSTP Solution File: SEU323+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU323+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.B4nBspQsvu true
% Computer : n014.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 19:12:08 EDT 2023
% Result : Theorem 0.21s 0.72s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 36 ( 5 unt; 12 typ; 0 def)
% Number of atoms : 81 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 347 ( 42 ~; 39 |; 8 &; 248 @)
% ( 0 <=>; 10 =>; 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; 0-2 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(closed_subset_type,type,
closed_subset: $i > $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(interior_type,type,
interior: $i > $i > $i ).
thf(topological_space_type,type,
topological_space: $i > $o ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(topstr_closure_type,type,
topstr_closure: $i > $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(open_subset_type,type,
open_subset: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(d1_tops_1,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( interior @ A @ B )
= ( subset_complement @ ( the_carrier @ A ) @ ( topstr_closure @ A @ ( subset_complement @ ( the_carrier @ A ) @ B ) ) ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ( ( interior @ X1 @ X0 )
= ( subset_complement @ ( the_carrier @ X1 ) @ ( topstr_closure @ X1 @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) ) ) )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[d1_tops_1]) ).
thf(fc2_tops_1,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( closed_subset @ ( topstr_closure @ A @ B ) @ A ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( closed_subset @ ( topstr_closure @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[fc2_tops_1]) ).
thf(fc3_tops_1,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( closed_subset @ B @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( open_subset @ ( subset_complement @ ( the_carrier @ A ) @ B ) @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( closed_subset @ X1 @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( open_subset @ ( subset_complement @ ( the_carrier @ X0 ) @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[fc3_tops_1]) ).
thf(zip_derived_cl135,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( topological_space @ X0 )
| ~ ( top_str @ X0 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ X0 ) @ ( topstr_closure @ X0 @ X1 ) ) @ X0 )
| ~ ( element @ ( topstr_closure @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( topological_space @ X0 )
| ~ ( top_str @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl150,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ ( topstr_closure @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( open_subset @ ( subset_complement @ ( the_carrier @ X0 ) @ ( topstr_closure @ X0 @ X1 ) ) @ X0 )
| ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl135]) ).
thf(dt_k6_pre_topc,axiom,
! [A: $i,B: $i] :
( ( ( top_str @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( element @ ( topstr_closure @ A @ B ) @ ( powerset @ ( the_carrier @ A ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( element @ ( topstr_closure @ X0 @ X1 ) @ ( powerset @ ( the_carrier @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k6_pre_topc]) ).
thf(zip_derived_cl151,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( topological_space @ X0 )
| ~ ( top_str @ X0 )
| ( open_subset @ ( subset_complement @ ( the_carrier @ X0 ) @ ( topstr_closure @ X0 @ X1 ) ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl7]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( element @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( topological_space @ X1 )
| ~ ( top_str @ X1 )
| ( open_subset @ ( interior @ X1 @ X0 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl151]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] :
( ( open_subset @ ( interior @ X1 @ X0 ) @ X1 )
| ~ ( topological_space @ X1 )
| ~ ( element @ ( subset_complement @ ( the_carrier @ X1 ) @ X0 ) @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl152]) ).
thf(dt_k3_subset_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( element @ ( subset_complement @ A @ B ) @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl6,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_cl154,plain,
! [X0: $i,X1: $i] :
( ~ ( top_str @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( topological_space @ X1 )
| ( open_subset @ ( interior @ X1 @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl153,zip_derived_cl6]) ).
thf(t51_tops_1,conjecture,
! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( open_subset @ ( interior @ A @ B ) @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( open_subset @ ( interior @ A @ B ) @ A ) ) ),
inference('cnf.neg',[status(esa)],[t51_tops_1]) ).
thf(zip_derived_cl25,plain,
~ ( open_subset @ ( interior @ sk__5 @ sk__6 ) @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl155,plain,
( ~ ( topological_space @ sk__5 )
| ~ ( element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ) )
| ~ ( top_str @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl25]) ).
thf(zip_derived_cl23,plain,
topological_space @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
top_str @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl156,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl23,zip_derived_cl26,zip_derived_cl24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU323+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.B4nBspQsvu true
% 0.18/0.34 % Computer : n014.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Thu Aug 24 01:13:04 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % Running portfolio for 300 s
% 0.18/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.34 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % Solved by fo/fo6_bce.sh.
% 0.21/0.72 % BCE start: 27
% 0.21/0.72 % BCE eliminated: 2
% 0.21/0.72 % PE start: 25
% 0.21/0.72 logic: eq
% 0.21/0.72 % PE eliminated: 3
% 0.21/0.72 % done 22 iterations in 0.017s
% 0.21/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.72 % SZS output start Refutation
% See solution above
% 0.21/0.72
% 0.21/0.72
% 0.21/0.72 % Terminating...
% 0.21/0.75 % Runner terminated.
% 0.21/0.76 % Zipperpin 1.5 exiting
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