TSTP Solution File: SEU387+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU387+2 : 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.xr8eOz95uB true
% Computer : n031.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 19:12:34 EDT 2023
% Result : Theorem 36.76s 5.88s
% Output : Refutation 36.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 41
% Syntax : Number of formulae : 88 ( 45 unt; 32 typ; 0 def)
% Number of atoms : 122 ( 29 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 381 ( 34 ~; 22 |; 36 &; 281 @)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 5 con; 0-2 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(complete_relstr_type,type,
complete_relstr: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(rel_str_type,type,
rel_str: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(incl_POSet_type,type,
incl_POSet: $i > $i ).
thf(upper_relstr_subset_type,type,
upper_relstr_subset: $i > $i > $o ).
thf(bottom_of_relstr_type,type,
bottom_of_relstr: $i > $i ).
thf(transitive_relstr_type,type,
transitive_relstr: $i > $o ).
thf(inclusion_order_type,type,
inclusion_order: $i > $i ).
thf(distributive_relstr_type,type,
distributive_relstr: $i > $o ).
thf(reflexive_relstr_type,type,
reflexive_relstr: $i > $o ).
thf(sk__257_type,type,
sk__257: $i ).
thf(boole_POSet_type,type,
boole_POSet: $i > $i ).
thf(up_complete_relstr_type,type,
up_complete_relstr: $i > $o ).
thf(join_complete_relstr_type,type,
join_complete_relstr: $i > $o ).
thf(sk__255_type,type,
sk__255: $i ).
thf(with_suprema_relstr_type,type,
with_suprema_relstr: $i > $o ).
thf(strict_rel_str_type,type,
strict_rel_str: $i > $o ).
thf(filtered_subset_type,type,
filtered_subset: $i > $i > $o ).
thf(lower_bounded_relstr_type,type,
lower_bounded_relstr: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(upper_bounded_relstr_type,type,
upper_bounded_relstr: $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(bounded_relstr_type,type,
bounded_relstr: $i > $o ).
thf(sk__256_type,type,
sk__256: $i ).
thf(antisymmetric_relstr_type,type,
antisymmetric_relstr: $i > $o ).
thf(proper_element_type,type,
proper_element: $i > $i > $o ).
thf(the_InternalRel_type,type,
the_InternalRel: $i > $i ).
thf(with_infima_relstr_type,type,
with_infima_relstr: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(t2_yellow19,conjecture,
! [A: $i] :
( ~ ( empty @ A )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( filtered_subset @ B @ ( boole_POSet @ A ) )
& ( upper_relstr_subset @ B @ ( boole_POSet @ A ) )
& ( proper_element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ A ) ) ) )
& ( element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ A ) ) ) ) )
=> ! [C: $i] :
~ ( ( in @ C @ B )
& ( empty @ C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ~ ( empty @ A )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( filtered_subset @ B @ ( boole_POSet @ A ) )
& ( upper_relstr_subset @ B @ ( boole_POSet @ A ) )
& ( proper_element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ A ) ) ) )
& ( element @ B @ ( powerset @ ( the_carrier @ ( boole_POSet @ A ) ) ) ) )
=> ! [C: $i] :
~ ( ( in @ C @ B )
& ( empty @ C ) ) ) ),
inference('cnf.neg',[status(esa)],[t2_yellow19]) ).
thf(zip_derived_cl1265,plain,
filtered_subset @ sk__256 @ ( boole_POSet @ sk__255 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t8_waybel_7,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( reflexive_relstr @ A )
& ( transitive_relstr @ A )
& ( antisymmetric_relstr @ A )
& ( lower_bounded_relstr @ A )
& ( rel_str @ A ) )
=> ! [B: $i] :
( ( ~ ( empty @ B )
& ( filtered_subset @ B @ A )
& ( upper_relstr_subset @ B @ A )
& ( element @ B @ ( powerset @ ( the_carrier @ A ) ) ) )
=> ( ( proper_element @ B @ ( powerset @ ( the_carrier @ A ) ) )
<=> ~ ( in @ ( bottom_of_relstr @ A ) @ B ) ) ) ) ).
thf(zip_derived_cl1248,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( filtered_subset @ X0 @ X1 )
| ~ ( upper_relstr_subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( proper_element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( in @ ( bottom_of_relstr @ X1 ) @ X0 )
| ~ ( rel_str @ X1 )
| ~ ( lower_bounded_relstr @ X1 )
| ~ ( antisymmetric_relstr @ X1 )
| ~ ( transitive_relstr @ X1 )
| ~ ( reflexive_relstr @ X1 )
| ( empty_carrier @ X1 ) ),
inference(cnf,[status(esa)],[t8_waybel_7]) ).
thf(zip_derived_cl8391,plain,
( ( empty_carrier @ ( boole_POSet @ sk__255 ) )
| ~ ( reflexive_relstr @ ( boole_POSet @ sk__255 ) )
| ~ ( transitive_relstr @ ( boole_POSet @ sk__255 ) )
| ~ ( antisymmetric_relstr @ ( boole_POSet @ sk__255 ) )
| ~ ( lower_bounded_relstr @ ( boole_POSet @ sk__255 ) )
| ~ ( rel_str @ ( boole_POSet @ sk__255 ) )
| ~ ( in @ ( bottom_of_relstr @ ( boole_POSet @ sk__255 ) ) @ sk__256 )
| ~ ( proper_element @ sk__256 @ ( powerset @ ( the_carrier @ ( boole_POSet @ sk__255 ) ) ) )
| ~ ( element @ sk__256 @ ( powerset @ ( the_carrier @ ( boole_POSet @ sk__255 ) ) ) )
| ~ ( upper_relstr_subset @ sk__256 @ ( boole_POSet @ sk__255 ) )
| ( empty @ sk__256 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1265,zip_derived_cl1248]) ).
thf(t4_yellow_1,axiom,
! [A: $i] :
( ( boole_POSet @ A )
= ( incl_POSet @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl1216,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(fc1_waybel_1,axiom,
! [A: $i] :
( ( distributive_relstr @ ( boole_POSet @ A ) )
& ( join_complete_relstr @ ( boole_POSet @ A ) )
& ( up_complete_relstr @ ( boole_POSet @ A ) )
& ( bounded_relstr @ ( boole_POSet @ A ) )
& ( upper_bounded_relstr @ ( boole_POSet @ A ) )
& ( lower_bounded_relstr @ ( boole_POSet @ A ) )
& ( complete_relstr @ ( boole_POSet @ A ) )
& ( with_infima_relstr @ ( boole_POSet @ A ) )
& ( with_suprema_relstr @ ( boole_POSet @ A ) )
& ( antisymmetric_relstr @ ( boole_POSet @ A ) )
& ( transitive_relstr @ ( boole_POSet @ A ) )
& ( reflexive_relstr @ ( boole_POSet @ A ) )
& ( strict_rel_str @ ( boole_POSet @ A ) )
& ~ ( empty_carrier @ ( boole_POSet @ A ) ) ) ).
thf(zip_derived_cl313,plain,
! [X0: $i] :
~ ( empty_carrier @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel_1]) ).
thf(zip_derived_cl1216_001,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl11328,plain,
! [X0: $i] :
~ ( empty_carrier @ ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl1216]) ).
thf(zip_derived_cl1216_002,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(fc5_yellow_1,axiom,
! [A: $i] :
( ( antisymmetric_relstr @ ( incl_POSet @ A ) )
& ( transitive_relstr @ ( incl_POSet @ A ) )
& ( reflexive_relstr @ ( incl_POSet @ A ) )
& ( strict_rel_str @ ( incl_POSet @ A ) ) ) ).
thf(zip_derived_cl443,plain,
! [X0: $i] : ( reflexive_relstr @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc5_yellow_1]) ).
thf(zip_derived_cl1216_003,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl444,plain,
! [X0: $i] : ( transitive_relstr @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc5_yellow_1]) ).
thf(zip_derived_cl1216_004,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl445,plain,
! [X0: $i] : ( antisymmetric_relstr @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc5_yellow_1]) ).
thf(zip_derived_cl1216_005,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl321,plain,
! [X0: $i] : ( lower_bounded_relstr @ ( boole_POSet @ X0 ) ),
inference(cnf,[status(esa)],[fc1_waybel_1]) ).
thf(zip_derived_cl1216_006,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl11589,plain,
! [X0: $i] : ( lower_bounded_relstr @ ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl321,zip_derived_cl1216]) ).
thf(zip_derived_cl1216_007,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(dt_k2_yellow_1,axiom,
! [A: $i] :
( ( rel_str @ ( incl_POSet @ A ) )
& ( strict_rel_str @ ( incl_POSet @ A ) ) ) ).
thf(zip_derived_cl261,plain,
! [X0: $i] : ( rel_str @ ( incl_POSet @ X0 ) ),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
thf(zip_derived_cl1216_008,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(t18_yellow_1,axiom,
! [A: $i] :
( ( bottom_of_relstr @ ( boole_POSet @ A ) )
= empty_set ) ).
thf(zip_derived_cl1138,plain,
! [X0: $i] :
( ( bottom_of_relstr @ ( boole_POSet @ X0 ) )
= empty_set ),
inference(cnf,[status(esa)],[t18_yellow_1]) ).
thf(zip_derived_cl1216_009,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl11714,plain,
! [X0: $i] :
( ( bottom_of_relstr @ ( incl_POSet @ ( powerset @ X0 ) ) )
= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl1138,zip_derived_cl1216]) ).
thf(zip_derived_cl1261,plain,
in @ sk__257 @ sk__256,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl1233,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl1260,plain,
empty @ sk__257,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11315,plain,
sk__257 = empty_set,
inference('sup+',[status(thm)],[zip_derived_cl1233,zip_derived_cl1260]) ).
thf(zip_derived_cl11727,plain,
in @ empty_set @ sk__256,
inference(demod,[status(thm)],[zip_derived_cl1261,zip_derived_cl11315]) ).
thf(zip_derived_cl1216_010,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(t1_yellow_1,axiom,
! [A: $i] :
( ( ( the_InternalRel @ ( incl_POSet @ A ) )
= ( inclusion_order @ A ) )
& ( ( the_carrier @ ( incl_POSet @ A ) )
= A ) ) ).
thf(zip_derived_cl1155,plain,
! [X0: $i] :
( ( the_carrier @ ( incl_POSet @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[t1_yellow_1]) ).
thf(zip_derived_cl1263,plain,
proper_element @ sk__256 @ ( powerset @ ( the_carrier @ ( boole_POSet @ sk__255 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1216_011,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl1155_012,plain,
! [X0: $i] :
( ( the_carrier @ ( incl_POSet @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[t1_yellow_1]) ).
thf(zip_derived_cl11786,plain,
proper_element @ sk__256 @ ( powerset @ ( powerset @ sk__255 ) ),
inference(demod,[status(thm)],[zip_derived_cl1263,zip_derived_cl1216,zip_derived_cl1155]) ).
thf(zip_derived_cl1216_013,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl1155_014,plain,
! [X0: $i] :
( ( the_carrier @ ( incl_POSet @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[t1_yellow_1]) ).
thf(zip_derived_cl1262,plain,
element @ sk__256 @ ( powerset @ ( the_carrier @ ( boole_POSet @ sk__255 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1216_015,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl1155_016,plain,
! [X0: $i] :
( ( the_carrier @ ( incl_POSet @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[t1_yellow_1]) ).
thf(zip_derived_cl11781,plain,
element @ sk__256 @ ( powerset @ ( powerset @ sk__255 ) ),
inference(demod,[status(thm)],[zip_derived_cl1262,zip_derived_cl1216,zip_derived_cl1155]) ).
thf(zip_derived_cl1216_017,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl1264,plain,
upper_relstr_subset @ sk__256 @ ( boole_POSet @ sk__255 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1216_018,plain,
! [X0: $i] :
( ( boole_POSet @ X0 )
= ( incl_POSet @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
thf(zip_derived_cl11744,plain,
upper_relstr_subset @ sk__256 @ ( incl_POSet @ ( powerset @ sk__255 ) ),
inference(demod,[status(thm)],[zip_derived_cl1264,zip_derived_cl1216]) ).
thf(zip_derived_cl1266,plain,
~ ( empty @ sk__256 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34817,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8391,zip_derived_cl1216,zip_derived_cl11328,zip_derived_cl1216,zip_derived_cl443,zip_derived_cl1216,zip_derived_cl444,zip_derived_cl1216,zip_derived_cl445,zip_derived_cl1216,zip_derived_cl11589,zip_derived_cl1216,zip_derived_cl261,zip_derived_cl1216,zip_derived_cl11714,zip_derived_cl11727,zip_derived_cl1216,zip_derived_cl1155,zip_derived_cl11786,zip_derived_cl1216,zip_derived_cl1155,zip_derived_cl11781,zip_derived_cl1216,zip_derived_cl11744,zip_derived_cl1266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU387+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xr8eOz95uB true
% 0.12/0.35 % Computer : n031.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Aug 24 01:25:35 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /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/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 36.76/5.88 % Solved by fo/fo3_bce.sh.
% 36.76/5.88 % BCE start: 1267
% 36.76/5.88 % BCE eliminated: 77
% 36.76/5.88 % PE start: 1190
% 36.76/5.88 logic: eq
% 36.76/5.88 % PE eliminated: -127
% 36.76/5.88 % done 5824 iterations in 5.118s
% 36.76/5.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 36.76/5.88 % SZS output start Refutation
% See solution above
% 36.76/5.89
% 36.76/5.89
% 36.76/5.89 % Terminating...
% 37.24/5.96 % Runner terminated.
% 37.24/5.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------