TSTP Solution File: SET962+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET962+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0AuaVpoOYO true
% Computer : n032.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 16:17:01 EDT 2023
% Result : Theorem 1.27s 0.81s
% Output : Refutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 58 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 207 ( 24 ~; 25 |; 1 &; 152 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(l55_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(t115_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( ( cartesian_product2 @ A @ A )
= ( cartesian_product2 @ B @ B ) )
=> ( A = B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( cartesian_product2 @ A @ A )
= ( cartesian_product2 @ B @ B ) )
=> ( A = B ) ),
inference('cnf.neg',[status(esa)],[t115_zfmisc_1]) ).
thf(zip_derived_cl9,plain,
( ( cartesian_product2 @ sk__2 @ sk__2 )
= ( cartesian_product2 @ sk__3 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ sk__3 @ sk__3 ) )
| ( in @ X1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl4]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__3 )
| ~ ( in @ X0 @ sk__3 )
| ( in @ X1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( in @ X0 @ sk__2 )
| ~ ( in @ X0 @ sk__3 ) ),
inference(condensation,[status(thm)],[zip_derived_cl53]) ).
thf(t2_tarski,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
<=> ( in @ C @ B ) )
=> ( A = B ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( in @ ( sk__4 @ X0 @ X1 ) @ X0 )
| ~ ( in @ ( sk__4 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t2_tarski]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ~ ( in @ ( sk__4 @ sk__2 @ X0 ) @ sk__3 )
| ~ ( in @ ( sk__4 @ sk__2 @ X0 ) @ X0 )
| ( X0 = sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl11]) ).
thf(zip_derived_cl67,plain,
( ( sk__3 = sk__2 )
| ~ ( in @ ( sk__4 @ sk__2 @ sk__3 ) @ sk__3 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl10,plain,
sk__2 != sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68,plain,
~ ( in @ ( sk__4 @ sk__2 @ sk__3 ) @ sk__3 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl67,zip_derived_cl10]) ).
thf(zip_derived_cl9_001,plain,
( ( cartesian_product2 @ sk__2 @ sk__2 )
= ( cartesian_product2 @ sk__3 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ X1 @ X0 ) @ ( cartesian_product2 @ sk__3 @ sk__3 ) )
| ~ ( in @ X1 @ sk__2 )
| ~ ( in @ X0 @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl143,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__2 )
| ~ ( in @ X1 @ sk__2 )
| ( in @ X1 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl4]) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ( in @ X0 @ sk__3 )
| ~ ( in @ X0 @ sk__2 ) ),
inference(condensation,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( in @ ( sk__4 @ X0 @ X1 ) @ X0 )
| ( in @ ( sk__4 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t2_tarski]) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ sk__2 @ X0 ) @ sk__3 )
| ( in @ ( sk__4 @ sk__2 @ X0 ) @ X0 )
| ( X0 = sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl147,zip_derived_cl12]) ).
thf(zip_derived_cl202,plain,
( ( sk__3 = sk__2 )
| ( in @ ( sk__4 @ sk__2 @ sk__3 ) @ sk__3 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl149]) ).
thf(zip_derived_cl10_004,plain,
sk__2 != sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
in @ ( sk__4 @ sk__2 @ sk__3 ) @ sk__3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl202,zip_derived_cl10]) ).
thf(zip_derived_cl229,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.15 % Problem : SET962+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.11/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0AuaVpoOYO true
% 0.13/0.35 % Computer : n032.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 08:47:58 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.19/0.59 % Total configuration time : 435
% 0.19/0.59 % Estimated wc time : 1092
% 0.19/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.81 % Solved by fo/fo4.sh.
% 1.27/0.81 % done 64 iterations in 0.062s
% 1.27/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/0.81 % SZS output start Refutation
% See solution above
% 1.27/0.81
% 1.27/0.81
% 1.27/0.81 % Terminating...
% 1.86/0.93 % Runner terminated.
% 1.86/0.95 % Zipperpin 1.5 exiting
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