TSTP Solution File: SET656+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET656+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.a3yKRG3YOD true
% Computer : n011.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 16:15:21 EDT 2023
% Result : Theorem 2.18s 1.16s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 69 ( 26 unt; 15 typ; 0 def)
% Number of atoms : 125 ( 7 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 438 ( 37 ~; 38 |; 3 &; 330 @)
% ( 4 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 76 ( 0 ^; 76 !; 0 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(p17,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_cl33,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__7 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p17]) ).
thf(p30,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl64,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__7 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl64,zip_derived_cl64]) ).
thf(prove_relset_1_18,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( intersection @ D @ ( cross_product @ B @ 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 @ ( relation_type @ B @ C ) )
=> ( ( intersection @ D @ ( cross_product @ B @ C ) )
= D ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_18]) ).
thf(zip_derived_cl66,plain,
ilf_type @ sk__17 @ ( relation_type @ sk__15 @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p6,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_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(zip_derived_cl64_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl224,plain,
ilf_type @ sk__17 @ ( subset_type @ ( cross_product @ sk__15 @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl122]) ).
thf(p13,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_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p13]) ).
thf(zip_derived_cl64_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl230,plain,
ilf_type @ sk__17 @ ( member_type @ ( power_set @ ( cross_product @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl121]) ).
thf(p21,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_cl44,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl64_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl262,plain,
( ( empty @ ( power_set @ ( cross_product @ sk__15 @ sk__16 ) ) )
| ( member @ sk__17 @ ( power_set @ ( cross_product @ sk__15 @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl128]) ).
thf(p20,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl64_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl64]) ).
thf(zip_derived_cl263,plain,
member @ sk__17 @ ( power_set @ ( cross_product @ sk__15 @ sk__16 ) ),
inference(clc,[status(thm)],[zip_derived_cl262,zip_derived_cl70]) ).
thf(p19,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_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl64_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl64,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl268,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__17 )
| ( member @ X0 @ ( cross_product @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl127]) ).
thf(zip_derived_cl287,plain,
! [X0: $i] :
( ( subset @ sk__17 @ X0 )
| ( member @ ( sk__7 @ X0 @ sk__17 ) @ ( cross_product @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl268]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__7 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p17]) ).
thf(zip_derived_cl64_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__7 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl2695,plain,
( ( subset @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ) )
| ( subset @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl84]) ).
thf(zip_derived_cl2704,plain,
subset @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ),
inference(simplify,[status(thm)],[zip_derived_cl2695]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( subset @ B @ C )
=> ( ( intersection @ B @ C )
= B ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl64_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl64_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p30]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( ( intersection @ X1 @ X0 )
= X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl64,zip_derived_cl64]) ).
thf(zip_derived_cl2705,plain,
( ( intersection @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ) )
= sk__17 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2704,zip_derived_cl69]) ).
thf(zip_derived_cl67,plain,
( ( intersection @ sk__17 @ ( cross_product @ sk__15 @ sk__16 ) )
!= sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2711,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2705,zip_derived_cl67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET656+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a3yKRG3YOD true
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat Aug 26 13:50:09 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.37 % Number of cores: 8
% 0.23/0.38 % Python version: Python 3.6.8
% 0.23/0.38 % Running in FO mode
% 0.24/0.60 % Total configuration time : 435
% 0.24/0.60 % Estimated wc time : 1092
% 0.24/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.18/1.16 % Solved by fo/fo13.sh.
% 2.18/1.16 % done 383 iterations in 0.441s
% 2.18/1.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.18/1.16 % SZS output start Refutation
% See solution above
% 2.18/1.17
% 2.18/1.17
% 2.18/1.17 % Terminating...
% 2.18/1.21 % Runner terminated.
% 2.18/1.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------