%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET983+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.eL0f0AX4Zn 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 04:53:16 PM UTC 2025
% Result : Theorem 1.21s 0.72s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 133 ( 8 ~; 6 |; 3 &; 112 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(t137_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( in @ A @ ( cartesian_product2 @ B @ C ) )
& ( in @ A @ ( cartesian_product2 @ D @ E ) ) )
=> ( in @ A @ ( cartesian_product2 @ ( set_intersection2 @ B @ D ) @ ( set_intersection2 @ C @ E ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( in @ A @ ( cartesian_product2 @ B @ C ) )
& ( in @ A @ ( cartesian_product2 @ D @ E ) ) )
=> ( in @ A @ ( cartesian_product2 @ ( set_intersection2 @ B @ D ) @ ( set_intersection2 @ C @ E ) ) ) ),
inference('cnf.neg',[status(esa)],[t137_zfmisc_1]) ).
thf(zip_derived_cl12,plain,
~ ( in @ sk__3 @ ( cartesian_product2 @ ( set_intersection2 @ sk__4 @ sk__6 ) @ ( set_intersection2 @ sk__5 @ sk__7 ) ) ),
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_cl11,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(zip_derived_cl14,plain,
in @ sk__3 @ ( cartesian_product2 @ sk__4 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
in @ sk__3 @ ( cartesian_product2 @ sk__6 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ~ ( in @ sk__3 @ X0 )
| ( in @ sk__3 @ ( set_intersection2 @ X0 @ ( cartesian_product2 @ sk__6 @ sk__7 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl23]) ).
thf(zip_derived_cl35,plain,
in @ sk__3 @ ( set_intersection2 @ ( cartesian_product2 @ sk__4 @ sk__5 ) @ ( cartesian_product2 @ sk__6 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl25]) ).
thf(zip_derived_cl52,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl11,zip_derived_cl35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET983+1 : TPTP v9.2.0. Released v3.2.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eL0f0AX4Zn 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 13:01:38 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
% 0.15/0.31 % Running in FO mode
% 0.15/0.55 % Total configuration time : 435
% 0.15/0.55 % Estimated wc time : 1092
% 0.15/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.93/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.93/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.93/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.93/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.93/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.93/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.93/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.21/0.72 % Solved by fo/fo5.sh.
% 1.21/0.72 % done 25 iterations in 0.019s
% 1.21/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.21/0.72 % SZS output start Refutation
% See solution above
% 1.21/0.72
% 1.21/0.72
% 1.21/0.72 % Terminating...
% 1.50/0.78 % Runner terminated.
% 1.50/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------