TSTP Solution File: SEU388+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V28c88f7h8 true
% Computer : n020.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 19:12:35 EDT 2023
% Result : Theorem 1.81s 0.86s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 23 unt; 13 typ; 0 def)
% Number of atoms : 115 ( 10 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 379 ( 45 ~; 51 |; 10 &; 263 @)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 27 ( 0 ^; 26 !; 1 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__9_type,type,
sk__9: $i ).
thf(neighborhood_system_type,type,
neighborhood_system: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(point_neighbourhood_type,type,
point_neighbourhood: $i > $i > $i > $o ).
thf(topological_space_type,type,
topological_space: $i > $o ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(a_2_0_yellow19_type,type,
a_2_0_yellow19: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(t3_yellow19,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( neighborhood_system @ A @ B ) )
<=> ( point_neighbourhood @ C @ A @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ! [C: $i] :
( ( in @ C @ ( neighborhood_system @ A @ B ) )
<=> ( point_neighbourhood @ C @ A @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t3_yellow19]) ).
thf(zip_derived_cl25,plain,
( ~ ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ~ ( in @ sk__9 @ ( neighborhood_system @ sk__7 @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
element @ sk__8 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_yellow19,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( topological_space @ A )
& ( top_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( the_carrier @ A ) )
=> ( ( neighborhood_system @ A @ B )
= ( a_2_0_yellow19 @ A @ B ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( ( neighborhood_system @ X1 @ X0 )
= ( a_2_0_yellow19 @ X1 @ X0 ) )
| ~ ( top_str @ X1 )
| ~ ( topological_space @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[d1_yellow19]) ).
thf(zip_derived_cl28,plain,
( ( empty_carrier @ sk__7 )
| ~ ( topological_space @ sk__7 )
| ~ ( top_str @ sk__7 )
| ( ( neighborhood_system @ sk__7 @ sk__8 )
= ( a_2_0_yellow19 @ sk__7 @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1]) ).
thf(zip_derived_cl21,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
topological_space @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
top_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
( ( neighborhood_system @ sk__7 @ sk__8 )
= ( a_2_0_yellow19 @ sk__7 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
( ~ ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ~ ( in @ sk__9 @ ( a_2_0_yellow19 @ sk__7 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl29]) ).
thf(zip_derived_cl24,plain,
( ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( in @ sk__9 @ ( neighborhood_system @ sk__7 @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_001,plain,
( ( neighborhood_system @ sk__7 @ sk__8 )
= ( a_2_0_yellow19 @ sk__7 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23]) ).
thf(zip_derived_cl31,plain,
( ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( in @ sk__9 @ ( a_2_0_yellow19 @ sk__7 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl29]) ).
thf(fraenkel_a_2_0_yellow19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( empty_carrier @ B )
& ( topological_space @ B )
& ( top_str @ B )
& ( element @ C @ ( the_carrier @ B ) ) )
=> ( ( in @ A @ ( a_2_0_yellow19 @ B @ C ) )
<=> ? [D: $i] :
( ( A = D )
& ( point_neighbourhood @ D @ B @ C ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ( empty_carrier @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ( X2
= ( sk__3 @ X1 @ X0 @ X2 ) )
| ~ ( in @ X2 @ ( a_2_0_yellow19 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fraenkel_a_2_0_yellow19]) ).
thf(zip_derived_cl58,plain,
( ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( sk__9
= ( sk__3 @ sk__8 @ sk__7 @ sk__9 ) )
| ~ ( element @ sk__8 @ ( the_carrier @ sk__7 ) )
| ( empty_carrier @ sk__7 )
| ~ ( topological_space @ sk__7 )
| ~ ( top_str @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl7]) ).
thf(zip_derived_cl26_002,plain,
element @ sk__8 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_003,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22_004,plain,
topological_space @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_005,plain,
top_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
( ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( sk__9
= ( sk__3 @ sk__8 @ sk__7 @ sk__9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl26,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23]) ).
thf(zip_derived_cl31_006,plain,
( ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( in @ sk__9 @ ( a_2_0_yellow19 @ sk__7 @ sk__8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl29]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ( empty_carrier @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ( point_neighbourhood @ ( sk__3 @ X1 @ X0 @ X2 ) @ X0 @ X1 )
| ~ ( in @ X2 @ ( a_2_0_yellow19 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fraenkel_a_2_0_yellow19]) ).
thf(zip_derived_cl90,plain,
( ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( point_neighbourhood @ ( sk__3 @ sk__8 @ sk__7 @ sk__9 ) @ sk__7 @ sk__8 )
| ~ ( element @ sk__8 @ ( the_carrier @ sk__7 ) )
| ( empty_carrier @ sk__7 )
| ~ ( topological_space @ sk__7 )
| ~ ( top_str @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl8]) ).
thf(zip_derived_cl26_007,plain,
element @ sk__8 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_008,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22_009,plain,
topological_space @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23_010,plain,
top_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
( ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( point_neighbourhood @ ( sk__3 @ sk__8 @ sk__7 @ sk__9 ) @ sk__7 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl26,zip_derived_cl21,zip_derived_cl22,zip_derived_cl23]) ).
thf(zip_derived_cl186,plain,
( ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 )
| ( point_neighbourhood @ sk__9 @ sk__7 @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl91]) ).
thf(zip_derived_cl187,plain,
point_neighbourhood @ sk__9 @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl188,plain,
~ ( in @ sk__9 @ ( a_2_0_yellow19 @ sk__7 @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl187]) ).
thf(zip_derived_cl187_011,plain,
point_neighbourhood @ sk__9 @ sk__7 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ( empty_carrier @ X0 )
| ~ ( element @ X1 @ ( the_carrier @ X0 ) )
| ( in @ X2 @ ( a_2_0_yellow19 @ X0 @ X1 ) )
| ~ ( point_neighbourhood @ X3 @ X0 @ X1 )
| ( X2 != X3 ) ),
inference(cnf,[status(esa)],[fraenkel_a_2_0_yellow19]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( point_neighbourhood @ X2 @ X1 @ X0 )
| ( in @ X2 @ ( a_2_0_yellow19 @ X1 @ X0 ) )
| ~ ( element @ X0 @ ( the_carrier @ X1 ) )
| ( empty_carrier @ X1 )
| ~ ( topological_space @ X1 )
| ~ ( top_str @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl228,plain,
( ~ ( top_str @ sk__7 )
| ~ ( topological_space @ sk__7 )
| ( empty_carrier @ sk__7 )
| ~ ( element @ sk__8 @ ( the_carrier @ sk__7 ) )
| ( in @ sk__9 @ ( a_2_0_yellow19 @ sk__7 @ sk__8 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl60]) ).
thf(zip_derived_cl23_012,plain,
top_str @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22_013,plain,
topological_space @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_014,plain,
~ ( empty_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26_015,plain,
element @ sk__8 @ ( the_carrier @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
in @ sk__9 @ ( a_2_0_yellow19 @ sk__7 @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl23,zip_derived_cl22,zip_derived_cl21,zip_derived_cl26]) ).
thf(zip_derived_cl452,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V28c88f7h8 true
% 0.17/0.35 % Computer : n020.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 24 00:16:15 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.36 % 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
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.81/0.86 % Solved by fo/fo4.sh.
% 1.81/0.86 % done 112 iterations in 0.072s
% 1.81/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.81/0.86 % SZS output start Refutation
% See solution above
% 1.81/0.86
% 1.81/0.86
% 1.81/0.86 % Terminating...
% 2.21/0.94 % Runner terminated.
% 2.21/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------