TSTP Solution File: SET984+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET984+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7og89Lmzha true
% Computer : n006.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 1.51s 0.84s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 20 unt; 8 typ; 0 def)
% Number of atoms : 83 ( 65 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 230 ( 16 ~; 34 |; 3 &; 172 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(t138_zfmisc_1,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [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 ) ) ) ),
inference('cnf.neg',[status(esa)],[t138_zfmisc_1]) ).
thf(zip_derived_cl14,plain,
( ( cartesian_product2 @ sk__2 @ sk__3 )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
subset @ ( cartesian_product2 @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t28_xboole_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_intersection2 @ A @ B )
= A ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
thf(zip_derived_cl32,plain,
( ( set_intersection2 @ ( cartesian_product2 @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) )
= ( cartesian_product2 @ sk__2 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl16]) ).
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_cl9,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_cl56,plain,
( ( cartesian_product2 @ ( set_intersection2 @ sk__2 @ sk__4 ) @ ( set_intersection2 @ sk__3 @ sk__5 ) )
= ( cartesian_product2 @ sk__2 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl9]) ).
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_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl61,plain,
( ( cartesian_product2 @ ( set_intersection2 @ sk__4 @ sk__2 ) @ ( set_intersection2 @ sk__5 @ sk__3 ) )
= ( cartesian_product2 @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl0,zip_derived_cl0]) ).
thf(t134_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( cartesian_product2 @ A @ B )
= ( cartesian_product2 @ C @ D ) )
=> ( ( A = empty_set )
| ( B = empty_set )
| ( ( A = C )
& ( B = D ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = empty_set )
| ( X1 = empty_set )
| ( ( cartesian_product2 @ X1 @ X0 )
!= ( cartesian_product2 @ X2 @ X3 ) )
| ( X0 = X3 ) ),
inference(cnf,[status(esa)],[t134_zfmisc_1]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i] :
( ( ( cartesian_product2 @ X1 @ X0 )
!= ( cartesian_product2 @ sk__2 @ sk__3 ) )
| ( X0
= ( set_intersection2 @ sk__5 @ sk__3 ) )
| ( X1 = empty_set )
| ( X0 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl11]) ).
thf(zip_derived_cl604,plain,
( ( sk__3 = empty_set )
| ( sk__2 = empty_set )
| ( sk__3
= ( set_intersection2 @ sk__5 @ sk__3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl230]) ).
thf(t17_xboole_1,axiom,
! [A: $i,B: $i] : ( subset @ ( set_intersection2 @ A @ B ) @ A ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] : ( subset @ ( set_intersection2 @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[t17_xboole_1]) ).
thf(zip_derived_cl606,plain,
( ( subset @ sk__3 @ sk__5 )
| ( sk__2 = empty_set )
| ( sk__3 = empty_set ) ),
inference('sup+',[status(thm)],[zip_derived_cl604,zip_derived_cl15]) ).
thf(zip_derived_cl61_002,plain,
( ( cartesian_product2 @ ( set_intersection2 @ sk__4 @ sk__2 ) @ ( set_intersection2 @ sk__5 @ sk__3 ) )
= ( cartesian_product2 @ sk__2 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = empty_set )
| ( X1 = empty_set )
| ( ( cartesian_product2 @ X1 @ X0 )
!= ( cartesian_product2 @ X2 @ X3 ) )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[t134_zfmisc_1]) ).
thf(zip_derived_cl229,plain,
! [X0: $i,X1: $i] :
( ( ( cartesian_product2 @ X1 @ X0 )
!= ( cartesian_product2 @ sk__2 @ sk__3 ) )
| ( X1
= ( set_intersection2 @ sk__4 @ sk__2 ) )
| ( X1 = empty_set )
| ( X0 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl10]) ).
thf(zip_derived_cl242,plain,
( ( sk__3 = empty_set )
| ( sk__2 = empty_set )
| ( sk__2
= ( set_intersection2 @ sk__4 @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl229]) ).
thf(zip_derived_cl15_003,plain,
! [X0: $i,X1: $i] : ( subset @ ( set_intersection2 @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[t17_xboole_1]) ).
thf(zip_derived_cl244,plain,
( ( subset @ sk__2 @ sk__4 )
| ( sk__2 = empty_set )
| ( sk__3 = empty_set ) ),
inference('sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl15]) ).
thf(zip_derived_cl12,plain,
( ~ ( subset @ sk__2 @ sk__4 )
| ~ ( subset @ sk__3 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258,plain,
( ( sk__3 = empty_set )
| ( sk__2 = empty_set )
| ~ ( subset @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl12]) ).
thf(zip_derived_cl628,plain,
( ( sk__3 = empty_set )
| ( sk__2 = empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl606,zip_derived_cl258]) ).
thf(zip_derived_cl14_004,plain,
( ( cartesian_product2 @ sk__2 @ sk__3 )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl630,plain,
( ( ( cartesian_product2 @ sk__2 @ empty_set )
!= empty_set )
| ( sk__2 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl14]) ).
thf(t113_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( ( cartesian_product2 @ A @ B )
= empty_set )
<=> ( ( A = empty_set )
| ( B = empty_set ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( ( cartesian_product2 @ X0 @ X1 )
= empty_set )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[t113_zfmisc_1]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ( cartesian_product2 @ X0 @ empty_set )
= empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl637,plain,
( ( empty_set != empty_set )
| ( sk__2 = empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl630,zip_derived_cl28]) ).
thf(zip_derived_cl638,plain,
sk__2 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl637]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( ( cartesian_product2 @ X0 @ X1 )
= empty_set )
| ( X0 != empty_set ) ),
inference(cnf,[status(esa)],[t113_zfmisc_1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( cartesian_product2 @ empty_set @ X0 )
= empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl646,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl638,zip_derived_cl22]) ).
thf(zip_derived_cl647,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET984+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7og89Lmzha true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 11:03:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.51/0.84 % Solved by fo/fo5.sh.
% 1.51/0.84 % done 133 iterations in 0.072s
% 1.51/0.84 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.51/0.84 % SZS output start Refutation
% See solution above
% 1.51/0.84
% 1.51/0.84
% 1.51/0.84 % Terminating...
% 2.20/0.94 % Runner terminated.
% 2.20/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------