TSTP Solution File: SET591+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET591+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.9USLz8h9GW true
% Computer : n021.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 16:14:46 EDT 2023
% Result : Theorem 1.09s 0.75s
% Output : Refutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 38 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 107 ( 14 ~; 9 |; 2 &; 76 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(prove_th50,conjecture,
! [B: $i,C: $i] :
( ( subset @ B @ ( difference @ C @ B ) )
=> ( B = empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( subset @ B @ ( difference @ C @ B ) )
=> ( B = empty_set ) ),
inference('cnf.neg',[status(esa)],[prove_th50]) ).
thf(zip_derived_cl13,plain,
subset @ sk__2 @ ( difference @ sk__3 @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__2 )
| ( member @ X0 @ ( difference @ sk__3 @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).
thf(difference_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
~ ( member @ X0 @ sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl4]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] : ( subset @ sk__2 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl86]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl73,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl9]) ).
thf(zip_derived_cl93,plain,
sk__2 = empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl77]) ).
thf(zip_derived_cl14,plain,
sk__2 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl93,zip_derived_cl14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET591+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.9USLz8h9GW true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 12:19:27 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.75 % Solved by fo/fo6_bce.sh.
% 1.09/0.75 % BCE start: 15
% 1.09/0.75 % BCE eliminated: 0
% 1.09/0.75 % PE start: 15
% 1.09/0.75 logic: eq
% 1.09/0.75 % PE eliminated: 1
% 1.09/0.75 % done 22 iterations in 0.011s
% 1.09/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.09/0.75 % SZS output start Refutation
% See solution above
% 1.09/0.75
% 1.09/0.75
% 1.09/0.75 % Terminating...
% 1.44/0.78 % Runner terminated.
% 1.44/0.79 % Zipperpin 1.5 exiting
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