%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET901+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eYF9MxWBYX true
% Computer : n022.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 Oct 2 04:53:06 PM UTC 2025
% Result : Theorem 0.47s 0.86s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 66 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 247 ( 43 ~; 44 |; 9 &; 148 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(t42_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ ( unordered_pair @ B @ C ) )
<=> ~ ( ( A != empty_set )
& ( A
!= ( singleton @ B ) )
& ( A
!= ( singleton @ C ) )
& ( A
!= ( unordered_pair @ B @ C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ ( unordered_pair @ B @ C ) )
<=> ~ ( ( A != empty_set )
& ( A
!= ( singleton @ B ) )
& ( A
!= ( singleton @ C ) )
& ( A
!= ( unordered_pair @ B @ C ) ) ) ),
inference('cnf.neg',[status(esa)],[t42_zfmisc_1]) ).
thf(zip_derived_cl5,plain,
( ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set )
| ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l46_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ ( unordered_pair @ B @ C ) )
<=> ~ ( ( A != empty_set )
& ( A
!= ( singleton @ B ) )
& ( A
!= ( singleton @ C ) )
& ( A
!= ( unordered_pair @ B @ C ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( unordered_pair @ X0 @ X1 ) )
| ( X2
= ( singleton @ X1 ) )
| ( X2
= ( singleton @ X0 ) )
| ( X2 = empty_set )
| ~ ( subset @ X2 @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
thf(zip_derived_cl153,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( singleton @ sk__4 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl10]) ).
thf(zip_derived_cl156,plain,
( ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
thf(zip_derived_cl156_001,plain,
( ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl8,plain,
( ( sk__2
!= ( singleton @ sk__4 ) )
| ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl166,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2 != sk__2 )
| ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl8]) ).
thf(zip_derived_cl167,plain,
( ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl166]) ).
thf(zip_derived_cl9,plain,
( ( sk__2
!= ( unordered_pair @ sk__3 @ sk__4 ) )
| ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl168,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl167,zip_derived_cl9]) ).
thf(zip_derived_cl6,plain,
( ( sk__2 != empty_set )
| ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl169,plain,
( ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl168,zip_derived_cl6]) ).
thf(zip_derived_cl7,plain,
( ( sk__2
!= ( singleton @ sk__3 ) )
| ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl170,plain,
~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl7]) ).
thf(zip_derived_cl173,plain,
( sk__2
!= ( singleton @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl170]) ).
thf(zip_derived_cl175,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2 != sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl173]) ).
thf(zip_derived_cl176,plain,
( ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl175]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != empty_set ) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
thf(zip_derived_cl170_002,plain,
~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl7]) ).
thf(zip_derived_cl171,plain,
sk__2 != empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl170]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0
!= ( singleton @ X1 ) ) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
thf(zip_derived_cl170_003,plain,
~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl7]) ).
thf(zip_derived_cl172,plain,
( sk__2
!= ( singleton @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl170]) ).
thf(zip_derived_cl177,plain,
( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl176,zip_derived_cl171,zip_derived_cl172]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0
!= ( unordered_pair @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[l46_zfmisc_1]) ).
thf(zip_derived_cl170_004,plain,
~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl7]) ).
thf(zip_derived_cl174,plain,
( sk__2
!= ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl170]) ).
thf(zip_derived_cl178,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl177,zip_derived_cl174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.19 % Problem : SET901+1 : TPTP v9.2.0. Released v3.2.0.
% 0.05/0.19 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eYF9MxWBYX true
% 0.09/0.39 % Computer : n022.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8042.1875MB
% 0.09/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Wed Oct 1 12:56:53 EDT 2025
% 0.09/0.39 % CPUTime :
% 0.09/0.39 % Running portfolio for 300 s
% 0.09/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.39 % Number of cores: 8
% 0.09/0.39 % Python version: Python 3.6.8
% 0.09/0.39 % Running in FO mode
% 0.46/0.68 % Total configuration time : 435
% 0.46/0.68 % Estimated wc time : 1092
% 0.46/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.86 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.86 % Solved by fo/fo6_bce.sh.
% 0.47/0.86 % BCE start: 15
% 0.47/0.86 % BCE eliminated: 0
% 0.47/0.86 % PE start: 15
% 0.47/0.86 logic: eq
% 0.47/0.86 % PE eliminated: 1
% 0.47/0.86 % done 26 iterations in 0.014s
% 0.47/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.86 % SZS output start Refutation
% See solution above
% 0.47/0.86
% 0.47/0.86
% 0.47/0.86 % Terminating...
% 1.22/0.96 % Runner terminated.
% 1.22/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------