TSTP Solution File: SEU354+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU354+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.70BHA4kPIQ 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 19:12:21 EDT 2023
% Result : Theorem 3.28s 1.16s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 49 ( 23 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 128 ( 24 ~; 17 |; 0 &; 80 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(proper_element_type,type,
proper_element: $i > $i > $o ).
thf(union_type,type,
union: $i > $i ).
thf(sk__78_type,type,
sk__78: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__77_type,type,
sk__77: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(d2_tex_2,axiom,
! [A: $i,B: $i] :
( ( element @ B @ A )
=> ( ( proper_element @ B @ A )
<=> ( B
!= ( union @ A ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( union @ X0 ) )
| ( proper_element @ X1 @ X0 )
| ~ ( element @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d2_tex_2]) ).
thf(t5_tex_2,conjecture,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( ( proper_element @ B @ ( powerset @ A ) )
<=> ( B != A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( ( proper_element @ B @ ( powerset @ A ) )
<=> ( B != A ) ) ),
inference('cnf.neg',[status(esa)],[t5_tex_2]) ).
thf(zip_derived_cl244,plain,
( ( sk__78 = sk__77 )
| ~ ( proper_element @ sk__78 @ ( powerset @ sk__77 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1383,plain,
( ~ ( element @ sk__78 @ ( powerset @ sk__77 ) )
| ( sk__78
= ( union @ ( powerset @ sk__77 ) ) )
| ( sk__78 = sk__77 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl244]) ).
thf(zip_derived_cl243,plain,
element @ sk__78 @ ( powerset @ sk__77 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t99_zfmisc_1,axiom,
! [A: $i] :
( ( union @ ( powerset @ A ) )
= A ) ).
thf(zip_derived_cl242,plain,
! [X0: $i] :
( ( union @ ( powerset @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[t99_zfmisc_1]) ).
thf(zip_derived_cl3544,plain,
( ( sk__78 = sk__77 )
| ( sk__78 = sk__77 ) ),
inference(demod,[status(thm)],[zip_derived_cl1383,zip_derived_cl243,zip_derived_cl242]) ).
thf(zip_derived_cl3545,plain,
sk__78 = sk__77,
inference(simplify,[status(thm)],[zip_derived_cl3544]) ).
thf(zip_derived_cl245,plain,
( ( sk__78 != sk__77 )
| ( proper_element @ sk__78 @ ( powerset @ sk__77 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ~ ( proper_element @ X0 @ X1 )
| ( X0
!= ( union @ X1 ) )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d2_tex_2]) ).
thf(zip_derived_cl1384,plain,
( ( sk__78 != sk__77 )
| ~ ( element @ sk__78 @ ( powerset @ sk__77 ) )
| ( sk__78
!= ( union @ ( powerset @ sk__77 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl245,zip_derived_cl28]) ).
thf(zip_derived_cl1710,plain,
( ( sk__78 != sk__77 )
| ~ ( element @ sk__77 @ ( powerset @ sk__77 ) )
| ( sk__77
!= ( union @ ( powerset @ sk__77 ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1384]) ).
thf(zip_derived_cl242_001,plain,
! [X0: $i] :
( ( union @ ( powerset @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[t99_zfmisc_1]) ).
thf(zip_derived_cl1711,plain,
( ( sk__78 != sk__77 )
| ~ ( element @ sk__77 @ ( powerset @ sk__77 ) )
| ( sk__77 != sk__77 ) ),
inference(demod,[status(thm)],[zip_derived_cl1710,zip_derived_cl242]) ).
thf(zip_derived_cl1712,plain,
( ~ ( element @ sk__77 @ ( powerset @ sk__77 ) )
| ( sk__78 != sk__77 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1711]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl232,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl83,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl1719,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl83]) ).
thf(zip_derived_cl1724,plain,
sk__78 != sk__77,
inference(demod,[status(thm)],[zip_derived_cl1712,zip_derived_cl1719]) ).
thf(zip_derived_cl3546,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3545,zip_derived_cl1724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU354+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.70BHA4kPIQ true
% 0.14/0.35 % Computer : n005.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
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 16:10:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 3.28/1.16 % Solved by fo/fo3_bce.sh.
% 3.28/1.16 % BCE start: 246
% 3.28/1.16 % BCE eliminated: 9
% 3.28/1.16 % PE start: 237
% 3.28/1.16 logic: eq
% 3.28/1.16 % PE eliminated: -1
% 3.28/1.16 % done 698 iterations in 0.403s
% 3.28/1.16 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.28/1.16 % SZS output start Refutation
% See solution above
% 3.28/1.16
% 3.28/1.16
% 3.28/1.16 % Terminating...
% 4.03/1.26 % Runner terminated.
% 4.03/1.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------