TSTP Solution File: SET978+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET978+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.OvnaD3yMhx true
% Computer : n015.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 16:17:04 EDT 2023
% Result : Theorem 0.21s 0.74s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 31 ( 9 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 147 ( 15 ~; 8 |; 2 &; 118 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(t17_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( A != B )
=> ( disjoint @ ( singleton @ A ) @ ( singleton @ B ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ ( singleton @ X0 ) @ ( singleton @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t17_zfmisc_1]) ).
thf(t127_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( disjoint @ A @ B )
| ( disjoint @ C @ D ) )
=> ( disjoint @ ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ D ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( disjoint @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( disjoint @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[t127_zfmisc_1]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ ( singleton @ X0 ) @ ( singleton @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t17_zfmisc_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( disjoint @ ( cartesian_product2 @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( disjoint @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t127_zfmisc_1]) ).
thf(t131_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( disjoint @ ( cartesian_product2 @ ( singleton @ A ) @ C ) @ ( cartesian_product2 @ ( singleton @ B ) @ D ) )
& ( disjoint @ ( cartesian_product2 @ C @ ( singleton @ A ) ) @ ( cartesian_product2 @ D @ ( singleton @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( A != B )
=> ( ( disjoint @ ( cartesian_product2 @ ( singleton @ A ) @ C ) @ ( cartesian_product2 @ ( singleton @ B ) @ D ) )
& ( disjoint @ ( cartesian_product2 @ C @ ( singleton @ A ) ) @ ( cartesian_product2 @ D @ ( singleton @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t131_zfmisc_1]) ).
thf(zip_derived_cl5,plain,
( ~ ( disjoint @ ( cartesian_product2 @ ( singleton @ sk__2 ) @ sk__4 ) @ ( cartesian_product2 @ ( singleton @ sk__3 ) @ sk__5 ) )
| ~ ( disjoint @ ( cartesian_product2 @ sk__4 @ ( singleton @ sk__2 ) ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__3 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
( ~ ( disjoint @ ( singleton @ sk__2 ) @ ( singleton @ sk__3 ) )
| ~ ( disjoint @ ( cartesian_product2 @ sk__4 @ ( singleton @ sk__2 ) ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl37,plain,
( ( sk__2 = sk__3 )
| ~ ( disjoint @ ( cartesian_product2 @ sk__4 @ ( singleton @ sk__2 ) ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl36]) ).
thf(zip_derived_cl6,plain,
sk__2 != sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38,plain,
~ ( disjoint @ ( cartesian_product2 @ sk__4 @ ( singleton @ sk__2 ) ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__3 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl37,zip_derived_cl6]) ).
thf(zip_derived_cl42,plain,
~ ( disjoint @ ( singleton @ sk__2 ) @ ( singleton @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl38]) ).
thf(zip_derived_cl45,plain,
sk__2 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl42]) ).
thf(zip_derived_cl6_002,plain,
sk__2 != sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl45,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OvnaD3yMhx true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 08:31:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % Solved by fo/fo6_bce.sh.
% 0.21/0.74 % BCE start: 8
% 0.21/0.74 % BCE eliminated: 0
% 0.21/0.74 % PE start: 8
% 0.21/0.74 logic: eq
% 0.21/0.74 % PE eliminated: 1
% 0.21/0.74 % done 12 iterations in 0.010s
% 0.21/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74 % SZS output start Refutation
% See solution above
% 0.21/0.74
% 0.21/0.74
% 0.21/0.74 % Terminating...
% 1.42/0.85 % Runner terminated.
% 1.42/0.87 % Zipperpin 1.5 exiting
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