TSTP Solution File: SET641+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET641+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hgwpqXqpJJ true
% Computer : n032.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 16:15:16 EDT 2023
% Result : Theorem 0.14s 0.78s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 22
% Syntax : Number of formulae : 63 ( 22 unt; 14 typ; 0 def)
% Number of atoms : 120 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 425 ( 39 ~; 38 |; 2 &; 315 @)
% ( 5 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 76 ( 0 ^; 76 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(prove_relset_1_3,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( subset @ B @ ( cross_product @ C @ D ) )
=> ( ilf_type @ B @ ( relation_type @ C @ D ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( subset @ B @ ( cross_product @ C @ D ) )
=> ( ilf_type @ B @ ( relation_type @ C @ D ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_3]) ).
thf(zip_derived_cl42,plain,
~ ( ilf_type @ sk__11 @ ( relation_type @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
subset @ sk__11 @ ( cross_product @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p5,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( subset @ B @ C )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p5]) ).
thf(p18,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl39,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl39_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl39_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl39,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( member @ X0 @ ( cross_product @ sk__12 @ sk__13 ) )
| ~ ( member @ X0 @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl65]) ).
thf(p10,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ B @ ( power_set @ C ) )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p10]) ).
thf(zip_derived_cl39_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl39_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ~ ( member @ ( sk__5 @ ( cross_product @ sk__12 @ sk__13 ) @ X0 ) @ sk__11 )
| ( member @ X0 @ ( power_set @ ( cross_product @ sk__12 @ sk__13 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl69]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p10]) ).
thf(zip_derived_cl39_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl39_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl181,plain,
( ( member @ sk__11 @ ( power_set @ ( cross_product @ sk__12 @ sk__13 ) ) )
| ( member @ sk__11 @ ( power_set @ ( cross_product @ sk__12 @ sk__13 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl168]) ).
thf(zip_derived_cl183,plain,
member @ sk__11 @ ( power_set @ ( cross_product @ sk__12 @ sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl181]) ).
thf(p12,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ( ( ilf_type @ B @ ( member_type @ C ) )
<=> ( member @ B @ C ) ) ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p12]) ).
thf(zip_derived_cl39_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl39_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl39,zip_derived_cl39]) ).
thf(p14,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p14]) ).
thf(zip_derived_cl39_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl39_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl100,zip_derived_cl47]) ).
thf(p7,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ilf_type @ C @ ( subset_type @ B ) )
<=> ( ilf_type @ C @ ( member_type @ ( power_set @ B ) ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p7]) ).
thf(zip_derived_cl39_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl39_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ( ilf_type @ X0 @ ( subset_type @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl68]) ).
thf(zip_derived_cl210,plain,
ilf_type @ sk__11 @ ( subset_type @ ( cross_product @ sk__12 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl102]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( ilf_type @ D @ ( relation_type @ B @ C ) ) )
& ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ( ilf_type @ E @ ( subset_type @ ( cross_product @ B @ C ) ) ) ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl39_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl39_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p18]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl39,zip_derived_cl39]) ).
thf(zip_derived_cl216,plain,
ilf_type @ sk__11 @ ( relation_type @ sk__12 @ sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl210,zip_derived_cl84]) ).
thf(zip_derived_cl218,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET641+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hgwpqXqpJJ true
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sat Aug 26 11:31:29 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running portfolio for 300 s
% 0.10/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.14/0.54 % Total configuration time : 435
% 0.14/0.54 % Estimated wc time : 1092
% 0.14/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.14/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.14/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.14/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.14/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.14/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.14/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.14/0.78 % Solved by fo/fo4.sh.
% 0.14/0.78 % done 89 iterations in 0.059s
% 0.14/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.14/0.78 % SZS output start Refutation
% See solution above
% 0.14/0.78
% 0.14/0.78
% 0.14/0.78 % Terminating...
% 1.45/0.86 % Runner terminated.
% 1.45/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------