TSTP Solution File: SEU311+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU311+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.evMDHnitLe true
% Computer : n008.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 19:12:03 EDT 2023
% Result : Theorem 1.31s 1.41s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 61 ( 20 unt; 14 typ; 0 def)
% Number of atoms : 118 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 565 ( 52 ~; 47 |; 10 &; 442 @)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 43 !; 3 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(topological_space_type,type,
topological_space: $i > $o ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(s3_subset_1__e2_37_1_1__pre_topc,conjecture,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) )
=> ? [C: $i] :
( ! [D: $i] :
( ( element @ D @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( in @ D @ C )
<=> ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) ) )
& ( element @ C @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) )
=> ? [C: $i] :
( ! [D: $i] :
( ( element @ D @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( in @ D @ C )
<=> ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) ) )
& ( element @ C @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[s3_subset_1__e2_37_1_1__pre_topc]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( element @ ( sk__8 @ X0 ) @ ( powerset @ ( the_carrier @ sk__6 ) ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_subset_1,axiom,
! [A: $i,B: $i] :
( ( ( empty @ A )
=> ( ( element @ B @ A )
<=> ( empty @ B ) ) )
& ( ~ ( empty @ A )
=> ( ( element @ B @ A )
<=> ( in @ B @ A ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( in @ X0 @ X1 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl392,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) )
| ( empty @ ( powerset @ ( the_carrier @ sk__6 ) ) )
| ( in @ ( sk__8 @ X0 ) @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl39]) ).
thf(fc1_subset_1,axiom,
! [A: $i] :
~ ( empty @ ( powerset @ A ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
~ ( empty @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[fc1_subset_1]) ).
thf(zip_derived_cl404,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) )
| ( in @ ( sk__8 @ X0 ) @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl34]) ).
thf(l71_subset_1,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) )
=> ( element @ A @ ( powerset @ B ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( in @ ( sk__5 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[l71_subset_1]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ( in @ ( sk__5 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[l71_subset_1]) ).
thf(zip_derived_cl49,plain,
element @ sk__7 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(s1_xboole_0__e2_37_1_1__pre_topc__1,axiom,
! [A: $i,B: $i] :
( ( ( topological_space @ A )
& ( top_str @ A )
& ( element @ B @ ( powerset @ ( powerset @ ( the_carrier @ A ) ) ) ) )
=> ? [C: $i] :
! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( powerset @ ( the_carrier @ A ) ) )
& ( in @ ( set_difference @ ( cast_as_carrier_subset @ A ) @ D ) @ B ) ) ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ X0 ) ) ) )
| ( in @ X2 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( in @ X2 @ ( sk__3 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__3 @ sk__7 @ sk__6 ) )
| ( in @ X0 @ ( powerset @ ( the_carrier @ sk__6 ) ) )
| ~ ( topological_space @ sk__6 )
| ~ ( top_str @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl37]) ).
thf(zip_derived_cl50,plain,
topological_space @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
top_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( sk__3 @ sk__7 @ sk__6 ) )
| ( in @ X0 @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ( element @ ( sk__3 @ sk__7 @ sk__6 ) @ ( powerset @ X0 ) )
| ( in @ ( sk__5 @ X0 @ ( sk__3 @ sk__7 @ sk__6 ) ) @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl199]) ).
thf(zip_derived_cl1826,plain,
( ( element @ ( sk__3 @ sk__7 @ sk__6 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) )
| ( element @ ( sk__3 @ sk__7 @ sk__6 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl219]) ).
thf(zip_derived_cl1827,plain,
element @ ( sk__3 @ sk__7 @ sk__6 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1826]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( in @ ( sk__8 @ X0 ) @ X0 )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk__6 ) @ ( sk__8 @ X0 ) ) @ sk__7 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1846,plain,
( ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk__6 ) @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) ) @ sk__7 )
| ( in @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) @ ( sk__3 @ sk__7 @ sk__6 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1827,zip_derived_cl46]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ X0 ) ) ) )
| ( in @ ( set_difference @ ( cast_as_carrier_subset @ X0 ) @ X2 ) @ X1 )
| ~ ( in @ X2 @ ( sk__3 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ~ ( in @ ( sk__8 @ X0 ) @ X0 )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk__6 ) @ ( sk__8 @ X0 ) ) @ sk__7 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl496,plain,
! [X0: $i] :
( ~ ( in @ ( sk__8 @ X0 ) @ ( sk__3 @ sk__7 @ sk__6 ) )
| ~ ( element @ sk__7 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) )
| ~ ( topological_space @ sk__6 )
| ~ ( top_str @ sk__6 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) )
| ~ ( in @ ( sk__8 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl47]) ).
thf(zip_derived_cl49_001,plain,
element @ sk__7 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_002,plain,
topological_space @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_003,plain,
top_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl522,plain,
! [X0: $i] :
( ~ ( in @ ( sk__8 @ X0 ) @ ( sk__3 @ sk__7 @ sk__6 ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) )
| ~ ( in @ ( sk__8 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl496,zip_derived_cl49,zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl570,plain,
( ~ ( in @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) @ ( sk__3 @ sk__7 @ sk__6 ) )
| ~ ( element @ ( sk__3 @ sk__7 @ sk__6 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl1827_004,plain,
element @ ( sk__3 @ sk__7 @ sk__6 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1826]) ).
thf(zip_derived_cl1830,plain,
~ ( in @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) @ ( sk__3 @ sk__7 @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl570,zip_derived_cl1827]) ).
thf(zip_derived_cl3028,plain,
in @ ( set_difference @ ( cast_as_carrier_subset @ sk__6 ) @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) ) @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl1846,zip_derived_cl1830]) ).
thf(zip_derived_cl49_005,plain,
element @ sk__7 @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ~ ( topological_space @ X0 )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ ( the_carrier @ X0 ) ) ) )
| ( in @ X2 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ X0 ) @ X2 ) @ X1 )
| ~ ( in @ X2 @ ( powerset @ ( the_carrier @ X0 ) ) ) ),
inference(cnf,[status(esa)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
thf(zip_derived_cl383,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ ( the_carrier @ sk__6 ) ) )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk__6 ) @ X0 ) @ sk__7 )
| ( in @ X0 @ ( sk__3 @ sk__7 @ sk__6 ) )
| ~ ( topological_space @ sk__6 )
| ~ ( top_str @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl35]) ).
thf(zip_derived_cl50_006,plain,
topological_space @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51_007,plain,
top_str @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl387,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( powerset @ ( the_carrier @ sk__6 ) ) )
| ~ ( in @ ( set_difference @ ( cast_as_carrier_subset @ sk__6 ) @ X0 ) @ sk__7 )
| ( in @ X0 @ ( sk__3 @ sk__7 @ sk__6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl50,zip_derived_cl51]) ).
thf(zip_derived_cl3033,plain,
( ( in @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) @ ( sk__3 @ sk__7 @ sk__6 ) )
| ~ ( in @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3028,zip_derived_cl387]) ).
thf(zip_derived_cl1830_008,plain,
~ ( in @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) @ ( sk__3 @ sk__7 @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl570,zip_derived_cl1827]) ).
thf(zip_derived_cl3063,plain,
~ ( in @ ( sk__8 @ ( sk__3 @ sk__7 @ sk__6 ) ) @ ( powerset @ ( the_carrier @ sk__6 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3033,zip_derived_cl1830]) ).
thf(zip_derived_cl3065,plain,
~ ( element @ ( sk__3 @ sk__7 @ sk__6 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl3063]) ).
thf(zip_derived_cl1827_009,plain,
element @ ( sk__3 @ sk__7 @ sk__6 ) @ ( powerset @ ( powerset @ ( the_carrier @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1826]) ).
thf(zip_derived_cl3066,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3065,zip_derived_cl1827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU311+1 : 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.evMDHnitLe true
% 0.14/0.35 % Computer : n008.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 01:27:02 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/1.41 % Solved by fo/fo4.sh.
% 1.31/1.41 % done 1815 iterations in 0.585s
% 1.31/1.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/1.41 % SZS output start Refutation
% See solution above
% 1.31/1.41
% 1.31/1.41
% 1.31/1.42 % Terminating...
% 5.51/1.49 % Runner terminated.
% 5.51/1.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------