TSTP Solution File: SEU164+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU164+3 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MdEWOzNbJn true
% Computer : n025.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 19:10:56 EDT 2023
% Result : Theorem 15.79s 2.88s
% Output : Refutation 15.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 74 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 242 ( 22 ~; 35 |; 1 &; 178 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 53 !; 1 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(union_type,type,
union: $i > $i ).
thf(t99_zfmisc_1,conjecture,
! [A: $i] :
( ( union @ ( powerset @ A ) )
= A ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( union @ ( powerset @ A ) )
= A ),
inference('cnf.neg',[status(esa)],[t99_zfmisc_1]) ).
thf(zip_derived_cl25,plain,
( ( union @ ( powerset @ sk__9 ) )
!= sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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 ) @ ( sk__4 @ X1 @ X0 ) )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(d1_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( B
= ( powerset @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( subset @ C @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X2
!= ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( subset @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] : ( in @ X0 @ ( powerset @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl40]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( union @ X0 ) )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( union @ X0 ) )
| ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X2 )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__4 @ X0 @ X1 ) @ X1 )
| ( X0
= ( union @ X1 ) )
| ( X0
= ( union @ X1 ) )
| ~ ( in @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl73]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) )
| ( in @ ( sk__4 @ X0 @ X1 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl207]) ).
thf(zip_derived_cl2565,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ X0 @ ( powerset @ X0 ) ) @ ( powerset @ X0 ) )
| ( X0
= ( union @ ( powerset @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl208]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X2 )
| ( X1
!= ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13105,plain,
! [X0: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( subset @ ( sk__4 @ X0 @ ( powerset @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2565,zip_derived_cl41]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl13106,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__4 @ X0 @ ( powerset @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13105,zip_derived_cl9]) ).
thf(zip_derived_cl13838,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 @ ( powerset @ X0 ) ) @ X0 )
| ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( in @ ( sk__3 @ X0 @ ( powerset @ X0 ) ) @ X0 )
| ( X0
= ( union @ ( powerset @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl13106]) ).
thf(zip_derived_cl13854,plain,
! [X0: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( in @ ( sk__3 @ X0 @ ( powerset @ X0 ) ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl13838]) ).
thf(zip_derived_cl73_001,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl14327,plain,
! [X0: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( X0
= ( union @ ( powerset @ X0 ) ) )
| ~ ( in @ X0 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13854,zip_derived_cl73]) ).
thf(zip_derived_cl58_002,plain,
! [X0: $i] : ( in @ X0 @ ( powerset @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl40]) ).
thf(zip_derived_cl14330,plain,
! [X0: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( X0
= ( union @ ( powerset @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14327,zip_derived_cl58]) ).
thf(zip_derived_cl14331,plain,
! [X0: $i] :
( X0
= ( union @ ( powerset @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14330]) ).
thf(zip_derived_cl14332,plain,
sk__9 != sk__9,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl14331]) ).
thf(zip_derived_cl14333,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl14332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU164+3 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MdEWOzNbJn true
% 0.15/0.35 % Computer : n025.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 : Wed Aug 23 14:24:05 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
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 15.79/2.88 % Solved by fo/fo5.sh.
% 15.79/2.88 % done 889 iterations in 2.082s
% 15.79/2.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.79/2.88 % SZS output start Refutation
% See solution above
% 15.79/2.88
% 15.79/2.88
% 15.79/2.88 % Terminating...
% 16.34/2.96 % Runner terminated.
% 16.34/2.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------