TSTP Solution File: SET890+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET890+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.83VMH9EGeB 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 16:16:41 EDT 2023
% Result : Theorem 0.16s 0.79s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 63 ( 32 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 196 ( 19 ~; 31 |; 1 &; 141 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 0 ^; 42 !; 1 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(union_type,type,
union: $i > $i ).
thf(t31_zfmisc_1,conjecture,
! [A: $i] :
( ( union @ ( singleton @ A ) )
= A ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( union @ ( singleton @ A ) )
= A ),
inference('cnf.neg',[status(esa)],[t31_zfmisc_1]) ).
thf(zip_derived_cl21,plain,
( ( union @ ( singleton @ sk__7 ) )
!= sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl4,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] :
( ( in @ X1 @ ( singleton @ X0 ) )
| ( X1 != X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl38]) ).
thf(d4_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( union @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( in @ D @ A )
& ( in @ C @ D ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( union @ X0 ) )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( union @ X0 ) )
| ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X2 )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl216,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ X1 ) @ X1 )
| ( X0
= ( union @ X1 ) )
| ( X0
= ( union @ X1 ) )
| ~ ( in @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl70]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) )
| ( in @ ( sk__3 @ X0 @ X1 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl637,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 @ ( singleton @ X0 ) ) @ ( singleton @ X0 ) )
| ( X0
= ( union @ ( singleton @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl217]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl762,plain,
! [X0: $i] :
( ( X0
= ( union @ ( singleton @ X0 ) ) )
| ( ( sk__3 @ X0 @ ( singleton @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl29]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( union @ X0 ) )
| ( in @ ( sk__2 @ X1 @ X0 ) @ ( sk__3 @ X1 @ X0 ) )
| ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl767,plain,
! [X0: $i] :
( ( in @ ( sk__2 @ X0 @ ( singleton @ X0 ) ) @ X0 )
| ( X0
= ( union @ ( singleton @ X0 ) ) )
| ( in @ ( sk__2 @ X0 @ ( singleton @ X0 ) ) @ X0 )
| ( X0
= ( union @ ( singleton @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl762,zip_derived_cl15]) ).
thf(zip_derived_cl771,plain,
! [X0: $i] :
( ( X0
= ( union @ ( singleton @ X0 ) ) )
| ( in @ ( sk__2 @ X0 @ ( singleton @ X0 ) ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl767]) ).
thf(zip_derived_cl70_001,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl803,plain,
! [X0: $i] :
( ( X0
= ( union @ ( singleton @ X0 ) ) )
| ( X0
= ( union @ ( singleton @ X0 ) ) )
| ~ ( in @ X0 @ ( singleton @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl70]) ).
thf(zip_derived_cl59_002,plain,
! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl806,plain,
! [X0: $i] :
( ( X0
= ( union @ ( singleton @ X0 ) ) )
| ( X0
= ( union @ ( singleton @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl803,zip_derived_cl59]) ).
thf(zip_derived_cl807,plain,
! [X0: $i] :
( X0
= ( union @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl806]) ).
thf(zip_derived_cl841,plain,
sk__7 != sk__7,
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl807]) ).
thf(zip_derived_cl842,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET890+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.83VMH9EGeB true
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Aug 26 16:25:29 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % Running portfolio for 300 s
% 0.11/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30 % Number of cores: 8
% 0.11/0.30 % Python version: Python 3.6.8
% 0.11/0.30 % Running in FO mode
% 0.16/0.53 % Total configuration time : 435
% 0.16/0.53 % Estimated wc time : 1092
% 0.16/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.79 % Solved by fo/fo5.sh.
% 0.16/0.79 % done 173 iterations in 0.154s
% 0.16/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.16/0.79 % SZS output start Refutation
% See solution above
% 0.16/0.79
% 0.16/0.79
% 0.16/0.80 % Terminating...
% 1.82/0.84 % Runner terminated.
% 1.82/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------