%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET971+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.djxjNh4Oaj true
% Computer : n019.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 04:53:15 PM UTC 2025
% Result : Theorem 0.91s 0.58s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 13 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 5 ~; 2 |; 2 &; 88 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(t124_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ D ) )
=> ( ( set_intersection2 @ ( cartesian_product2 @ A @ D ) @ ( cartesian_product2 @ B @ C ) )
= ( cartesian_product2 @ A @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( subset @ A @ B )
& ( subset @ C @ D ) )
=> ( ( set_intersection2 @ ( cartesian_product2 @ A @ D ) @ ( cartesian_product2 @ B @ C ) )
= ( cartesian_product2 @ A @ C ) ) ),
inference('cnf.neg',[status(esa)],[t124_zfmisc_1]) ).
thf(zip_derived_cl6,plain,
( ( set_intersection2 @ ( cartesian_product2 @ sk__2 @ sk__5 ) @ ( cartesian_product2 @ sk__3 @ sk__4 ) )
!= ( cartesian_product2 @ sk__2 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t123_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cartesian_product2 @ ( set_intersection2 @ A @ B ) @ ( set_intersection2 @ C @ D ) )
= ( set_intersection2 @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cartesian_product2 @ ( set_intersection2 @ X0 @ X2 ) @ ( set_intersection2 @ X1 @ X3 ) )
= ( set_intersection2 @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[t123_zfmisc_1]) ).
thf(t28_xboole_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_intersection2 @ A @ B )
= A ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
thf(zip_derived_cl8,plain,
subset @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
( ( set_intersection2 @ sk__2 @ sk__3 )
= sk__2 ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl9_001,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
thf(zip_derived_cl7,plain,
subset @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
( ( set_intersection2 @ sk__4 @ sk__5 )
= sk__4 ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).
thf(zip_derived_cl18,plain,
( ( cartesian_product2 @ sk__2 @ sk__4 )
!= ( cartesian_product2 @ sk__2 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl5,zip_derived_cl13,zip_derived_cl0,zip_derived_cl14]) ).
thf(zip_derived_cl19,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET971+1 : TPTP v9.2.0. Released v3.2.0.
% 0.08/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.djxjNh4Oaj true
% 0.08/0.27 % Computer : n019.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Wed Oct 1 13:14:53 EDT 2025
% 0.08/0.27 % CPUTime :
% 0.08/0.27 % Running portfolio for 300 s
% 0.08/0.27 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.27 % Number of cores: 8
% 0.08/0.27 % Python version: Python 3.6.8
% 0.08/0.27 % Running in FO mode
% 0.13/0.47 % Total configuration time : 435
% 0.13/0.47 % Estimated wc time : 1092
% 0.13/0.47 % Estimated cpu time (7 cpus) : 156.0
% 0.91/0.55 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.91/0.58 % Solved by fo/fo1_av.sh.
% 0.91/0.58 % done 15 iterations in 0.007s
% 0.91/0.58 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.91/0.58 % SZS output start Refutation
% See solution above
% 0.91/0.58
% 0.91/0.58
% 0.91/0.58 % Terminating...
% 1.48/0.68 % Runner terminated.
% 1.48/0.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------