%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET199+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SALt6HxuoU true
% Computer : n016.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 Oct 2 04:51:49 PM UTC 2025
% Result : Theorem 0.48s 0.72s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 177 ( 19 ~; 12 |; 3 &; 138 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(prove_intersection_of_subsets,conjecture,
! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ B @ D ) )
=> ( subset @ B @ ( intersection @ C @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ B @ D ) )
=> ( subset @ B @ ( intersection @ C @ D ) ) ),
inference('cnf.neg',[status(esa)],[prove_intersection_of_subsets]) ).
thf(zip_derived_cl14,plain,
subset @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl3,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_cl79,plain,
! [X0: $i] :
( ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl3]) ).
thf(zip_derived_cl13,plain,
subset @ sk__2 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_001,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_cl75,plain,
! [X0: $i] :
( ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl12,plain,
~ ( subset @ sk__2 @ ( intersection @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68,plain,
~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ ( intersection @ sk__3 @ sk__4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).
thf(zip_derived_cl92,plain,
( ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__3 )
| ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl68]) ).
thf(zip_derived_cl136,plain,
( ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__2 )
| ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl92]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl12_002,plain,
~ ( subset @ sk__2 @ ( intersection @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl70,plain,
member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__2,
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl12]) ).
thf(zip_derived_cl137,plain,
~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl70]) ).
thf(zip_derived_cl140,plain,
~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl137]) ).
thf(zip_derived_cl70_003,plain,
member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__2,
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl12]) ).
thf(zip_derived_cl141,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET199+3 : TPTP v9.2.0. Released v2.2.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SALt6HxuoU true
% 0.10/0.30 % Computer : n016.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 12:59:23 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.44/0.55 % Total configuration time : 435
% 0.44/0.55 % Estimated wc time : 1092
% 0.44/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.72 % Solved by fo/fo3_bce.sh.
% 0.48/0.72 % BCE start: 15
% 0.48/0.72 % BCE eliminated: 0
% 0.48/0.72 % PE start: 15
% 0.48/0.72 logic: eq
% 0.48/0.72 % PE eliminated: -2
% 0.48/0.72 % done 30 iterations in 0.029s
% 0.48/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.72 % SZS output start Refutation
% See solution above
% 0.48/0.72
% 0.48/0.72
% 0.48/0.72 % Terminating...
% 1.51/0.78 % Runner terminated.
% 1.51/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------