%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET985+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Io13ueHj4z true
% Computer : n029.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 1.13s 0.66s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 39 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 189 ( 16 ~; 31 |; 1 &; 135 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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 : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(t139_zfmisc_1,conjecture,
! [A: $i] :
( ~ ( empty @ A )
=> ! [B: $i,C: $i,D: $i] :
( ( ( subset @ ( cartesian_product2 @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
| ( subset @ ( cartesian_product2 @ B @ A ) @ ( cartesian_product2 @ D @ C ) ) )
=> ( subset @ B @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ~ ( empty @ A )
=> ! [B: $i,C: $i,D: $i] :
( ( ( subset @ ( cartesian_product2 @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
| ( subset @ ( cartesian_product2 @ B @ A ) @ ( cartesian_product2 @ D @ C ) ) )
=> ( subset @ B @ D ) ) ),
inference('cnf.neg',[status(esa)],[t139_zfmisc_1]) ).
thf(zip_derived_cl9,plain,
~ ( empty @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
( ( subset @ ( cartesian_product2 @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) )
| ( subset @ ( cartesian_product2 @ sk__3 @ sk__2 ) @ ( cartesian_product2 @ sk__5 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t138_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( subset @ ( cartesian_product2 @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
=> ( ( ( cartesian_product2 @ A @ B )
= empty_set )
| ( ( subset @ A @ C )
& ( subset @ B @ D ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cartesian_product2 @ X0 @ X1 )
= empty_set )
| ~ ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ( subset @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t138_zfmisc_1]) ).
thf(zip_derived_cl41,plain,
( ( subset @ ( cartesian_product2 @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) )
| ( subset @ sk__3 @ sk__5 )
| ( ( cartesian_product2 @ sk__3 @ sk__2 )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
~ ( subset @ sk__3 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
( ( subset @ ( cartesian_product2 @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) )
| ( ( cartesian_product2 @ sk__3 @ sk__2 )
= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl10]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( cartesian_product2 @ X0 @ X1 )
= empty_set )
| ~ ( subset @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ( subset @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[t138_zfmisc_1]) ).
thf(zip_derived_cl43,plain,
( ( ( cartesian_product2 @ sk__3 @ sk__2 )
= empty_set )
| ( subset @ sk__3 @ sk__5 )
| ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl7]) ).
thf(zip_derived_cl10_001,plain,
~ ( subset @ sk__3 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45,plain,
( ( ( cartesian_product2 @ sk__3 @ sk__2 )
= empty_set )
| ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl10]) ).
thf(t113_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( ( cartesian_product2 @ A @ B )
= empty_set )
<=> ( ( A = empty_set )
| ( B = empty_set ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X0 = empty_set )
| ( X1 = empty_set )
| ( ( cartesian_product2 @ X1 @ X0 )
!= empty_set ) ),
inference(cnf,[status(esa)],[t113_zfmisc_1]) ).
thf(zip_derived_cl46,plain,
( ( empty_set != empty_set )
| ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set )
| ( sk__3 = empty_set )
| ( sk__2 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl4]) ).
thf(zip_derived_cl53,plain,
( ( sk__2 = empty_set )
| ( sk__3 = empty_set )
| ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( ( cartesian_product2 @ X0 @ X1 )
= empty_set )
| ( X0 != empty_set ) ),
inference(cnf,[status(esa)],[t113_zfmisc_1]) ).
thf(zip_derived_cl58,plain,
( ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set )
| ( sk__3 = empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl53,zip_derived_cl5]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ( cartesian_product2 @ X0 @ X1 )
= empty_set )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[t113_zfmisc_1]) ).
thf(zip_derived_cl59,plain,
( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl6]) ).
thf(zip_derived_cl4_002,plain,
! [X0: $i,X1: $i] :
( ( X0 = empty_set )
| ( X1 = empty_set )
| ( ( cartesian_product2 @ X1 @ X0 )
!= empty_set ) ),
inference(cnf,[status(esa)],[t113_zfmisc_1]) ).
thf(zip_derived_cl62,plain,
( ( empty_set != empty_set )
| ( sk__2 = empty_set )
| ( sk__3 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl4]) ).
thf(zip_derived_cl68,plain,
( ( sk__3 = empty_set )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl10_003,plain,
~ ( subset @ sk__3 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
( ~ ( subset @ empty_set @ sk__5 )
| ( sk__2 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl10]) ).
thf(t2_xboole_1,axiom,
! [A: $i] : ( subset @ empty_set @ A ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
thf(zip_derived_cl74,plain,
sk__2 = empty_set,
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl12]) ).
thf(fc1_xboole_0,axiom,
empty @ empty_set ).
thf(zip_derived_cl0,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl75,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl74,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET985+1 : TPTP v9.2.0. Released v3.2.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Io13ueHj4z true
% 0.09/0.30 % Computer : n029.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 13:21:08 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.30 % Running in FO mode
% 0.15/0.52 % Total configuration time : 435
% 0.15/0.52 % Estimated wc time : 1092
% 0.15/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.75/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.75/0.62 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.75/0.62 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.12/0.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.12/0.62 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.12/0.63 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.12/0.63 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.66 % Solved by fo/fo5.sh.
% 1.13/0.66 % done 24 iterations in 0.015s
% 1.13/0.66 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.13/0.66 % SZS output start Refutation
% See solution above
% 1.13/0.66
% 1.13/0.66
% 1.13/0.66 % Terminating...
% 1.54/0.73 % Runner terminated.
% 1.54/0.74 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------