TSTP Solution File: SET662+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET662+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5NtTg2CtpY true
% Computer : n010.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 16:15:23 EDT 2023
% Result : Theorem 1.19s 0.79s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 52 ( 18 unt; 13 typ; 0 def)
% Number of atoms : 89 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 302 ( 30 ~; 25 |; 2 &; 222 @)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 0 ^; 62 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(sk__9_type,type,
sk__9: $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(empty_type,type,
empty: $i > $o ).
thf(prove_relset_1_25,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ilf_type @ empty_set @ ( relation_type @ B @ C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ilf_type @ empty_set @ ( relation_type @ B @ C ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_25]) ).
thf(zip_derived_cl39,plain,
~ ( ilf_type @ empty_set @ ( relation_type @ sk__9 @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p12,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] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__4 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p12]) ).
thf(p20,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl37,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl37_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl381,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__4 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl37,zip_derived_cl37]) ).
thf(p4,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ~ ( member @ B @ empty_set ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( member @ X0 @ empty_set )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl37_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl348,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl37]) ).
thf(zip_derived_cl383,plain,
! [X0: $i] : ( member @ empty_set @ ( power_set @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl348]) ).
thf(p14,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)],[p14]) ).
thf(zip_derived_cl37_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl37_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl396,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_cl37,zip_derived_cl37]) ).
thf(p11,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p11]) ).
thf(zip_derived_cl37_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl37_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl354,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl37,zip_derived_cl37]) ).
thf(zip_derived_cl397,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl396,zip_derived_cl354]) ).
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_cl9,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_cl37_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl37_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl366,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_cl9,zip_derived_cl37,zip_derived_cl37]) ).
thf(zip_derived_cl398,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl366]) ).
thf(zip_derived_cl401,plain,
! [X0: $i] : ( ilf_type @ empty_set @ ( subset_type @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl398]) ).
thf(p2,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_cl2,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)],[p2]) ).
thf(zip_derived_cl37_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl37_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p20]) ).
thf(zip_derived_cl349,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_cl2,zip_derived_cl37,zip_derived_cl37]) ).
thf(zip_derived_cl406,plain,
! [X0: $i,X1: $i] : ( ilf_type @ empty_set @ ( relation_type @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl349]) ).
thf(zip_derived_cl411,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET662+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5NtTg2CtpY true
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 10:20:50 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.19/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.19/0.79 % Solved by fo/fo6_bce.sh.
% 1.19/0.79 % BCE start: 41
% 1.19/0.79 % BCE eliminated: 1
% 1.19/0.79 % PE start: 40
% 1.19/0.79 logic: eq
% 1.19/0.79 % PE eliminated: 2
% 1.19/0.79 % done 45 iterations in 0.030s
% 1.19/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.19/0.79 % SZS output start Refutation
% See solution above
% 1.19/0.79
% 1.19/0.79
% 1.19/0.79 % Terminating...
% 1.59/0.85 % Runner terminated.
% 1.59/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------