TSTP Solution File: SEU147+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU147+3 : 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.QfbfAB0Jwm true
% Computer : n018.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 19:10:45 EDT 2023
% Result : Theorem 0.21s 0.76s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 57 ( 34 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 155 ( 20 ~; 27 |; 0 &; 103 @)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(d1_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( B
= ( powerset @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( subset @ C @ A ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( powerset @ X0 ) )
| ( subset @ ( sk__1 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(t3_xboole_1,axiom,
! [A: $i] :
( ( subset @ A @ empty_set )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 @ empty_set ) @ X0 )
| ( X0
= ( powerset @ empty_set ) )
| ( ( sk__1 @ X0 @ empty_set )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl16]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
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_cl91,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ( ( sk__1 @ ( singleton @ X0 ) @ empty_set )
= empty_set )
| ( ( singleton @ X0 )
= ( powerset @ empty_set ) )
| ( ( sk__1 @ ( singleton @ X0 ) @ empty_set )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl91]) ).
thf(zip_derived_cl144,plain,
! [X0: $i] :
( ( X0 != empty_set )
| ( ( singleton @ X0 )
= ( powerset @ empty_set ) )
| ( ( sk__1 @ ( singleton @ X0 ) @ empty_set )
= empty_set ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( powerset @ X0 ) )
| ~ ( subset @ ( sk__1 @ X1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl160,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
= ( powerset @ empty_set ) )
| ( X0 != empty_set )
| ( ( singleton @ X0 )
= ( powerset @ empty_set ) )
| ~ ( subset @ empty_set @ empty_set )
| ~ ( in @ empty_set @ ( singleton @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl7]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
= ( powerset @ empty_set ) )
| ( X0 != empty_set )
| ( ( singleton @ X0 )
= ( powerset @ empty_set ) )
| ~ ( in @ empty_set @ ( singleton @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl12]) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ~ ( in @ empty_set @ ( singleton @ X0 ) )
| ( X0 != empty_set )
| ( ( singleton @ X0 )
= ( powerset @ empty_set ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl165]) ).
thf(zip_derived_cl172,plain,
( ( ( singleton @ empty_set )
= ( powerset @ empty_set ) )
| ~ ( in @ empty_set @ ( singleton @ empty_set ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl166]) ).
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_cl89,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl173,plain,
( ( singleton @ empty_set )
= ( powerset @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl90]) ).
thf(t1_zfmisc_1,conjecture,
( ( powerset @ empty_set )
= ( singleton @ empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( powerset @ empty_set )
!= ( singleton @ empty_set ) ),
inference('cnf.neg',[status(esa)],[t1_zfmisc_1]) ).
thf(zip_derived_cl13,plain,
( ( powerset @ empty_set )
!= ( singleton @ empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl173,zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU147+3 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QfbfAB0Jwm true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 13:05:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % Solved by fo/fo6_bce.sh.
% 0.21/0.76 % BCE start: 17
% 0.21/0.76 % BCE eliminated: 0
% 0.21/0.76 % PE start: 17
% 0.21/0.76 logic: eq
% 0.21/0.76 % PE eliminated: 1
% 0.21/0.76 % done 34 iterations in 0.019s
% 0.21/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76 % SZS output start Refutation
% See solution above
% 0.21/0.76
% 0.21/0.76
% 0.21/0.76 % Terminating...
% 1.54/0.86 % Runner terminated.
% 1.54/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------