%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET626+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.ei4Wx4w7FX true
% Computer : n027.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 04:52:29 PM UTC 2025
% Result : Theorem 1.13s 0.71s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 136 ( 11 ~; 8 |; 2 &; 110 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 28 ( 0 ^; 27 !; 1 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(intersect_type,type,
intersect: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(prove_th102,conjecture,
! [B: $i,C: $i,D: $i] :
( ( intersect @ B @ ( intersection @ C @ D ) )
=> ( intersect @ B @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( intersect @ B @ ( intersection @ C @ D ) )
=> ( intersect @ B @ C ) ),
inference('cnf.neg',[status(esa)],[prove_th102]) ).
thf(zip_derived_cl12,plain,
intersect @ sk__2 @ ( intersection @ sk__3 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(intersect_defn,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ? [D: $i] :
( ( member @ D @ C )
& ( member @ D @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl38,plain,
member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ ( intersection @ sk__3 @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl12,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_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl47,plain,
member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__3,
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ X0 )
| ( intersect @ sk__3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl5]) ).
thf(symmetry_of_intersect,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
=> ( intersect @ C @ B ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_of_intersect]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ X0 )
| ( intersect @ X0 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
~ ( intersect @ sk__2 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__2 ),
inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl13]) ).
thf(zip_derived_cl12_001,plain,
intersect @ sk__2 @ ( intersection @ sk__3 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl57,plain,
member @ ( sk_ @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) @ sk__2,
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl4]) ).
thf(zip_derived_cl92,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET626+3 : TPTP v9.2.0. Released v2.2.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ei4Wx4w7FX true
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 13:10:53 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.50/0.57 % Total configuration time : 435
% 0.50/0.57 % Estimated wc time : 1092
% 0.50/0.57 % Estimated cpu time (7 cpus) : 156.0
% 1.13/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.71 % Solved by fo/fo7.sh.
% 1.13/0.71 % done 47 iterations in 0.027s
% 1.13/0.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.13/0.71 % SZS output start Refutation
% See solution above
% 1.13/0.71
% 1.13/0.71
% 1.13/0.71 % Terminating...
% 1.36/0.77 % Runner terminated.
% 1.63/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------