TSTP Solution File: SET879+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET879+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.OWXORsARx0 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 16:16:37 EDT 2023
% Result : Theorem 0.53s 0.73s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 6 unt; 5 typ; 0 def)
% Number of atoms : 42 ( 29 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 121 ( 20 ~; 15 |; 0 &; 81 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(t20_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( ( set_difference @ ( singleton @ A ) @ ( singleton @ B ) )
= ( singleton @ A ) )
<=> ( A != B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( set_difference @ ( singleton @ A ) @ ( singleton @ B ) )
= ( singleton @ A ) )
<=> ( A != B ) ),
inference('cnf.neg',[status(esa)],[t20_zfmisc_1]) ).
thf(zip_derived_cl9,plain,
( ( sk__3 != sk__4 )
| ( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__4 ) )
= ( singleton @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l34_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ ( singleton @ A ) @ B )
= ( singleton @ A ) )
<=> ~ ( in @ A @ B ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ ( singleton @ X0 ) @ X1 )
= ( singleton @ X0 ) )
| ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l34_zfmisc_1]) ).
thf(zip_derived_cl10,plain,
( ( sk__3 = sk__4 )
| ( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__4 ) )
!= ( singleton @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
( ( in @ sk__3 @ ( singleton @ sk__4 ) )
| ( sk__3 = sk__4 )
| ( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).
thf(zip_derived_cl51,plain,
( ( sk__3 = sk__4 )
| ( in @ sk__3 @ ( singleton @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl53,plain,
sk__3 = sk__4,
inference(clc,[status(thm)],[zip_derived_cl51,zip_derived_cl39]) ).
thf(zip_derived_cl53_001,plain,
sk__3 = sk__4,
inference(clc,[status(thm)],[zip_derived_cl51,zip_derived_cl39]) ).
thf(zip_derived_cl54,plain,
( ( sk__3 != sk__3 )
| ( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__3 ) )
= ( singleton @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl55,plain,
( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__3 ) )
= ( singleton @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( ( set_difference @ ( singleton @ X0 ) @ X1 )
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[l34_zfmisc_1]) ).
thf(zip_derived_cl56,plain,
( ~ ( in @ sk__3 @ ( singleton @ sk__3 ) )
| ( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl5]) ).
thf(zip_derived_cl57,plain,
~ ( in @ sk__3 @ ( singleton @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl58,plain,
( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET879+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OWXORsARx0 true
% 0.13/0.35 % Computer : n011.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 13:15:24 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % Solved by fo/fo6_bce.sh.
% 0.53/0.73 % BCE start: 11
% 0.53/0.73 % BCE eliminated: 0
% 0.53/0.73 % PE start: 11
% 0.53/0.73 logic: eq
% 0.53/0.73 % PE eliminated: 1
% 0.53/0.73 % done 22 iterations in 0.011s
% 0.53/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.73 % SZS output start Refutation
% See solution above
% 0.53/0.73
% 0.53/0.73
% 0.53/0.73 % Terminating...
% 0.61/0.84 % Runner terminated.
% 0.61/0.85 % Zipperpin 1.5 exiting
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