TSTP Solution File: SET640+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET640+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.4UbDKrB2KI true
% Computer : n002.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 16:15:15 EDT 2023
% Result : Theorem 1.37s 0.93s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 24
% Syntax : Number of formulae : 75 ( 29 unt; 15 typ; 0 def)
% Number of atoms : 144 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 503 ( 48 ~; 45 |; 4 &; 371 @)
% ( 4 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 89 ( 0 ^; 89 !; 0 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(set_type_type,type,
set_type: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(prove_relset_1_2,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ C @ D ) )
=> ( ( subset @ B @ E )
=> ( subset @ B @ ( cross_product @ 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 )
=> ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ C @ D ) )
=> ( ( subset @ B @ E )
=> ( subset @ B @ ( cross_product @ C @ D ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_2]) ).
thf(zip_derived_cl45,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p4,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_cl8,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)],[p4]) ).
thf(p19,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl314,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_cl8,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl315,plain,
ilf_type @ sk__14 @ ( subset_type @ ( cross_product @ sk__12 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl314]) ).
thf(p8,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 @ ( subset_type @ X1 ) )
| ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p8]) ).
thf(zip_derived_cl40_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl263,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_cl16,zip_derived_cl40,zip_derived_cl40]) ).
thf(p13,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_cl27,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)],[p13]) ).
thf(zip_derived_cl40_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl189,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl265,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ( member @ X1 @ ( power_set @ X0 ) )
| ( empty @ ( power_set @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl189]) ).
thf(p12,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ~ ( empty @ ( power_set @ B ) )
& ( ilf_type @ ( power_set @ B ) @ set_type ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( empty @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p12]) ).
thf(zip_derived_cl40_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
~ ( empty @ ( power_set @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl40]) ).
thf(zip_derived_cl266,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ X0 ) )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl48]) ).
thf(zip_derived_cl358,plain,
member @ sk__14 @ ( power_set @ ( cross_product @ sk__12 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl266]) ).
thf(p11,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_cl20,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)],[p11]) ).
thf(zip_derived_cl40_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl40,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl366,plain,
! [X0: $i] :
( ( member @ X0 @ ( cross_product @ sk__12 @ sk__13 ) )
| ~ ( member @ X0 @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl180]) ).
thf(p6,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_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(zip_derived_cl40_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl44,plain,
subset @ sk__11 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( ( subset @ B @ C )
& ( subset @ C @ D ) )
=> ( subset @ B @ D ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl40_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X2 )
| ( subset @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl40,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ( subset @ sk__11 @ X0 )
| ~ ( subset @ sk__14 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl75]) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ~ ( member @ ( sk__3 @ X0 @ sk__14 ) @ X0 )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl78]) ).
thf(zip_derived_cl43,plain,
~ ( subset @ sk__11 @ ( cross_product @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl98,plain,
~ ( member @ ( sk__3 @ ( cross_product @ sk__12 @ sk__13 ) @ sk__14 ) @ ( cross_product @ sk__12 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl43]) ).
thf(zip_derived_cl379,plain,
~ ( member @ ( sk__3 @ ( cross_product @ sk__12 @ sk__13 ) @ sk__14 ) @ sk__14 ),
inference('sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl98]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__3 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(zip_derived_cl40_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__3 @ X0 @ X1 ) @ X1 )
| ( subset @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl78_017,plain,
! [X0: $i] :
( ( subset @ sk__11 @ X0 )
| ~ ( subset @ sk__14 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl75]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ( member @ ( sk__3 @ X0 @ sk__14 ) @ sk__14 )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl78]) ).
thf(zip_derived_cl43_018,plain,
~ ( subset @ sk__11 @ ( cross_product @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102,plain,
member @ ( sk__3 @ ( cross_product @ sk__12 @ sk__13 ) @ sk__14 ) @ sk__14,
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl43]) ).
thf(zip_derived_cl385,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl379,zip_derived_cl102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET640+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4UbDKrB2KI true
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 10:09:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.68 % Total configuration time : 435
% 0.20/0.68 % Estimated wc time : 1092
% 0.20/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.12/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.12/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.12/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.37/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.37/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.93 % Solved by fo/fo7.sh.
% 1.37/0.93 % done 142 iterations in 0.094s
% 1.37/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.93 % SZS output start Refutation
% See solution above
% 1.37/0.93
% 1.37/0.93
% 1.37/0.93 % Terminating...
% 1.50/1.03 % Runner terminated.
% 1.50/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------