TSTP Solution File: SEU341+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU341+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.lQ5GSyWLxr true
% Computer : n024.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 19:12:15 EDT 2023
% Result : Theorem 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 49 ( 16 unt; 13 typ; 0 def)
% Number of atoms : 123 ( 21 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 408 ( 70 ~; 57 |; 11 &; 251 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(interior_type,type,
interior: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(point_neighbourhood_type,type,
point_neighbourhood: $i > $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(topological_space_type,type,
topological_space: $i > $o ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(open_subset_type,type,
open_subset: $i > $i > $o ).
thf(t5_connsp_2,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( open_subset @ B @ A )
& ( in @ C @ B ) )
=> ( point_neighbourhood @ B @ A @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( ( open_subset @ B @ A )
& ( in @ C @ B ) )
=> ( point_neighbourhood @ B @ A @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t5_connsp_2]) ).
thf(zip_derived_cl84,plain,
in @ sk__9 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
element @ sk__8 @ ( powerset @ ( the_carrier @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85,plain,
open_subset @ sk__8 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t55_tops_1,axiom,
! [A: $i] :
( ( ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( top_str @ B )
=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [D: $i] :
( ( element @ D @ ( powerset @ ( the_carrier @ B ) ) )
=> ( ( ( open_subset @ D @ B )
=> ( ( interior @ B @ D )
= D ) )
& ( ( ( interior @ A @ C )
= C )
=> ( open_subset @ C @ A ) ) ) ) ) ) ) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( open_subset @ X1 @ X0 )
| ( ( interior @ X0 @ X1 )
= X1 )
| ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X3 ) ) )
| ~ ( top_str @ X3 )
| ~ ( topological_space @ X3 ) ),
inference(cnf,[status(esa)],[t55_tops_1]) ).
thf(zip_derived_cl284,plain,
! [X0: $i,X1: $i] :
( ~ ( topological_space @ X0 )
| ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( ( interior @ sk__7 @ sk__8 )
= sk__8 )
| ~ ( element @ sk__8 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
| ~ ( top_str @ sk__7 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl77]) ).
thf(zip_derived_cl86_001,plain,
element @ sk__8 @ ( powerset @ ( the_carrier @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
top_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
! [X0: $i,X1: $i] :
( ~ ( topological_space @ X0 )
| ~ ( top_str @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( ( interior @ sk__7 @ sk__8 )
= sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl284,zip_derived_cl86,zip_derived_cl81]) ).
thf(zip_derived_cl397,plain,
( ( ( interior @ sk__7 @ sk__8 )
= sk__8 )
| ~ ( top_str @ sk__7 )
| ~ ( topological_space @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl390]) ).
thf(zip_derived_cl81_002,plain,
top_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
topological_space @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl399,plain,
( ( interior @ sk__7 @ sk__8 )
= sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl81,zip_derived_cl80]) ).
thf(d1_connsp_2,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( point_neighbourhood @ C @ A @ B )
<=> ( in @ B @ ( interior @ A @ C ) ) ) ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ~ ( in @ X0 @ ( interior @ X1 @ X2 ) )
| ( point_neighbourhood @ X2 @ X1 @ X0 )
| ~ ( element @ X2 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( top_str @ X1 )
| ~ ( topological_space @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d1_connsp_2]) ).
thf(zip_derived_cl79,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl288,plain,
! [X0: $i,X1: $i] :
( ~ ( topological_space @ sk__7 )
| ~ ( top_str @ sk__7 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
| ( point_neighbourhood @ X1 @ sk__7 @ X0 )
| ~ ( in @ X0 @ ( interior @ sk__7 @ X1 ) )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl79]) ).
thf(zip_derived_cl83,plain,
~ ( point_neighbourhood @ sk__8 @ sk__7 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl293,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__8 )
| ( sk__7 != sk__7 )
| ( X1 != sk__9 )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
| ~ ( top_str @ sk__7 )
| ~ ( topological_space @ sk__7 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl288,zip_derived_cl83]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i] :
( ~ ( topological_space @ sk__7 )
| ~ ( top_str @ sk__7 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
| ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ( X1 != sk__9 )
| ( X0 != sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl80_003,plain,
topological_space @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81_004,plain,
top_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl406,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__7 ) ) )
| ~ ( in @ X1 @ ( interior @ sk__7 @ X0 ) )
| ~ ( element @ X1 @ ( the_carrier @ sk__7 ) )
| ( X1 != sk__9 )
| ( X0 != sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl405,zip_derived_cl80,zip_derived_cl81]) ).
thf(zip_derived_cl407,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__8 )
| ( sk__8 != sk__8 )
| ( X0 != sk__9 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( element @ sk__8 @ ( powerset @ ( the_carrier @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl399,zip_derived_cl406]) ).
thf(zip_derived_cl86_005,plain,
element @ sk__8 @ ( powerset @ ( the_carrier @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl408,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__8 )
| ( sk__8 != sk__8 )
| ( X0 != sk__9 )
| ~ ( element @ X0 @ ( the_carrier @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl407,zip_derived_cl86]) ).
thf(zip_derived_cl409,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ( X0 != sk__9 )
| ~ ( in @ X0 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl408]) ).
thf(zip_derived_cl86_006,plain,
element @ sk__8 @ ( powerset @ ( the_carrier @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl370,plain,
! [X0: $i] :
( ( element @ X0 @ ( the_carrier @ sk__7 ) )
| ~ ( in @ X0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl76]) ).
thf(zip_derived_cl410,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__8 )
| ( X0 != sk__9 ) ),
inference(clc,[status(thm)],[zip_derived_cl409,zip_derived_cl370]) ).
thf(zip_derived_cl412,plain,
sk__9 != sk__9,
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl410]) ).
thf(zip_derived_cl413,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lQ5GSyWLxr true
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 16:04:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.40/0.64 % Total configuration time : 435
% 0.40/0.64 % Estimated wc time : 1092
% 0.40/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % Solved by fo/fo3_bce.sh.
% 0.53/0.74 % BCE start: 91
% 0.53/0.74 % BCE eliminated: 52
% 0.53/0.74 % PE start: 39
% 0.53/0.74 logic: eq
% 0.53/0.74 % PE eliminated: 3
% 0.53/0.74 % done 74 iterations in 0.031s
% 0.53/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.74 % SZS output start Refutation
% See solution above
% 0.53/0.74
% 0.53/0.74
% 0.53/0.74 % Terminating...
% 0.56/0.85 % Runner terminated.
% 0.56/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------