TSTP Solution File: SET976+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET976+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.xMjx8aduSy true
% Computer : n005.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 16:17:03 EDT 2023
% Result : Theorem 0.22s 0.75s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 53 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 190 ( 24 ~; 19 |; 3 &; 139 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $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__5_type,type,
sk__5: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(t129_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ ( singleton @ D ) ) )
<=> ( ( in @ A @ C )
& ( B = D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ ( singleton @ D ) ) )
<=> ( ( in @ A @ C )
& ( B = D ) ) ),
inference('cnf.neg',[status(esa)],[t129_zfmisc_1]) ).
thf(zip_derived_cl13,plain,
( ( in @ sk__3 @ sk__5 )
| ( in @ ( ordered_pair @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl10,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_cl15,plain,
( ( sk__4 != sk__6 )
| ~ ( in @ sk__3 @ sk__5 )
| ~ ( in @ ( ordered_pair @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
( ( sk__4 = sk__6 )
| ( in @ ( ordered_pair @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X0 ) @ ( cartesian_product2 @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
thf(zip_derived_cl82,plain,
( ( sk__4 = sk__6 )
| ( in @ sk__4 @ ( singleton @ sk__6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl9]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl93,plain,
sk__4 = sk__6,
inference(clc,[status(thm)],[zip_derived_cl82,zip_derived_cl67]) ).
thf(zip_derived_cl93_001,plain,
sk__4 = sk__6,
inference(clc,[status(thm)],[zip_derived_cl82,zip_derived_cl67]) ).
thf(zip_derived_cl94,plain,
( ( sk__4 != sk__4 )
| ~ ( in @ sk__3 @ sk__5 )
| ~ ( in @ ( ordered_pair @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl93,zip_derived_cl93]) ).
thf(zip_derived_cl95,plain,
( ~ ( in @ ( ordered_pair @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__4 ) ) )
| ~ ( in @ sk__3 @ sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl8,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_cl96,plain,
~ ( in @ ( ordered_pair @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__4 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl8]) ).
thf(zip_derived_cl97,plain,
( ~ ( in @ sk__3 @ sk__5 )
| ~ ( in @ sk__4 @ ( singleton @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl96]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl98,plain,
~ ( in @ sk__3 @ sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl69]) ).
thf(zip_derived_cl93_002,plain,
sk__4 = sk__6,
inference(clc,[status(thm)],[zip_derived_cl82,zip_derived_cl67]) ).
thf(zip_derived_cl96_003,plain,
~ ( in @ ( ordered_pair @ sk__3 @ sk__4 ) @ ( cartesian_product2 @ sk__5 @ ( singleton @ sk__4 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl8]) ).
thf(zip_derived_cl99,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl98,zip_derived_cl93,zip_derived_cl96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET976+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xMjx8aduSy true
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 16:21:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % Solved by fo/fo6_bce.sh.
% 0.22/0.75 % BCE start: 16
% 0.22/0.75 % BCE eliminated: 0
% 0.22/0.75 % PE start: 16
% 0.22/0.75 logic: eq
% 0.22/0.75 % PE eliminated: 1
% 0.22/0.75 % done 26 iterations in 0.016s
% 0.22/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.75 % SZS output start Refutation
% See solution above
% 0.22/0.76
% 0.22/0.76
% 0.22/0.76 % Terminating...
% 1.46/0.86 % Runner terminated.
% 1.46/0.87 % Zipperpin 1.5 exiting
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