TSTP Solution File: SET985+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET985+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0XygvvQBFy true
% Computer : n011.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 Aug 31 16:17:05 EDT 2023
% Result : Theorem 1.18s 0.77s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 11 unt; 8 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 : 5 ( 5 >; 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_cl74,plain,
( ( subset @ ( cartesian_product2 @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) )
| ( ( cartesian_product2 @ sk__3 @ sk__2 )
= empty_set )
| ( subset @ sk__3 @ sk__5 ) ),
inference('s_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_cl79,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_cl74,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_cl96,plain,
( ( ( cartesian_product2 @ sk__3 @ sk__2 )
= empty_set )
| ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set )
| ( subset @ sk__3 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl7]) ).
thf(zip_derived_cl10_001,plain,
~ ( subset @ sk__3 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112,plain,
( ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set )
| ( ( cartesian_product2 @ sk__3 @ sk__2 )
= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl96,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_cl113,plain,
( ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set )
| ( sk__2 = empty_set )
| ( sk__3 = empty_set )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl4]) ).
thf(zip_derived_cl121,plain,
( ( sk__3 = empty_set )
| ( sk__2 = empty_set )
| ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl113]) ).
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_cl127,plain,
( ( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set )
| ( sk__2 = empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl121,zip_derived_cl6]) ).
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_cl128,plain,
( ( cartesian_product2 @ sk__2 @ sk__3 )
= empty_set ),
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl5]) ).
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_cl135,plain,
( ( sk__3 = empty_set )
| ( sk__2 = empty_set )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl4]) ).
thf(zip_derived_cl142,plain,
( ( sk__2 = empty_set )
| ( sk__3 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl10_003,plain,
~ ( subset @ sk__3 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl147,plain,
( ( sk__2 = empty_set )
| ~ ( subset @ empty_set @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,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_cl149,plain,
sk__2 = empty_set,
inference(demod,[status(thm)],[zip_derived_cl147,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_cl150,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl149,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET985+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0XygvvQBFy true
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 15:46:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.18/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.77 % Solved by fo/fo6_bce.sh.
% 1.18/0.77 % BCE start: 13
% 1.18/0.77 % BCE eliminated: 0
% 1.18/0.77 % PE start: 13
% 1.18/0.77 logic: eq
% 1.18/0.77 % PE eliminated: 0
% 1.18/0.77 % done 34 iterations in 0.020s
% 1.18/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.18/0.77 % SZS output start Refutation
% See solution above
% 1.18/0.77
% 1.18/0.77
% 1.18/0.77 % Terminating...
% 1.58/0.86 % Runner terminated.
% 1.58/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------