TSTP Solution File: SET931+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET931+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.oVdmhZnuy7 true
% Computer : n006.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 16:16:54 EDT 2023
% Result : Theorem 0.22s 0.73s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 136 ( 117 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 363 ( 55 ~; 78 |; 9 &; 217 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(t75_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ A @ ( unordered_pair @ B @ C ) )
= empty_set )
<=> ~ ( ( 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] :
( ( ( set_difference @ A @ ( unordered_pair @ B @ C ) )
= empty_set )
<=> ~ ( ( A != empty_set )
& ( A
!= ( singleton @ B ) )
& ( A
!= ( singleton @ C ) )
& ( A
!= ( unordered_pair @ B @ C ) ) ) ),
inference('cnf.neg',[status(esa)],[t75_zfmisc_1]) ).
thf(zip_derived_cl12,plain,
( ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set )
| ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t37_xboole_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( ( set_difference @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(zip_derived_cl79,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( singleton @ sk__4 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl80,plain,
( ( subset @ 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(simplify,[status(thm)],[zip_derived_cl79]) ).
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_cl2,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_cl95,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_cl80,zip_derived_cl2]) ).
thf(zip_derived_cl96,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_cl95]) ).
thf(zip_derived_cl5,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_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(zip_derived_cl96_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_cl95]) ).
thf(zip_derived_cl15,plain,
( ( sk__2
!= ( singleton @ sk__4 ) )
| ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2 != sk__2 )
| ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl15]) ).
thf(zip_derived_cl98,plain,
( ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl99,plain,
( ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
| ( empty_set != empty_set )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl98]) ).
thf(zip_derived_cl100,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl103,plain,
( ( sk__2
!= ( singleton @ sk__4 ) )
| ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl100]) ).
thf(zip_derived_cl105,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2 != sk__2 )
| ( sk__2 = empty_set )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl103]) ).
thf(zip_derived_cl106,plain,
( ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl4,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_cl11_002,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(zip_derived_cl106_003,plain,
( ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2
= ( singleton @ sk__3 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl14,plain,
( ( sk__2
!= ( singleton @ sk__3 ) )
| ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2 != sk__2 )
| ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl14]) ).
thf(zip_derived_cl108,plain,
( ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl16,plain,
( ( sk__2
!= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl109,plain,
( ( sk__2 = empty_set )
| ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl108,zip_derived_cl16]) ).
thf(zip_derived_cl13,plain,
( ( sk__2 != empty_set )
| ( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110,plain,
( ( set_difference @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= empty_set ),
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl13]) ).
thf(zip_derived_cl111,plain,
( ~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl110]) ).
thf(zip_derived_cl112,plain,
~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl114,plain,
( sk__2
!= ( singleton @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl112]) ).
thf(zip_derived_cl117,plain,
( ( sk__2 = empty_set )
| ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2 != sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl114]) ).
thf(zip_derived_cl118,plain,
( ( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( sk__2 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl3,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_cl112_004,plain,
~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl113,plain,
sk__2 != empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl112]) ).
thf(zip_derived_cl119,plain,
( sk__2
= ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl118,zip_derived_cl113]) ).
thf(zip_derived_cl6,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_cl112_005,plain,
~ ( subset @ sk__2 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl116,plain,
( sk__2
!= ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl112]) ).
thf(zip_derived_cl120,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl119,zip_derived_cl116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET931+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oVdmhZnuy7 true
% 0.14/0.35 % Computer : n006.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 : Sat Aug 26 13:59:37 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.60 % Total configuration time : 435
% 0.22/0.60 % Estimated wc time : 1092
% 0.22/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % Solved by fo/fo6_bce.sh.
% 0.22/0.73 % BCE start: 17
% 0.22/0.73 % BCE eliminated: 0
% 0.22/0.73 % PE start: 17
% 0.22/0.73 logic: eq
% 0.22/0.73 % PE eliminated: 1
% 0.22/0.73 % done 38 iterations in 0.027s
% 0.22/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.73 % SZS output start Refutation
% See solution above
% 0.22/0.73
% 0.22/0.73
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % Terminating...
% 1.05/0.82 % Runner terminated.
% 1.05/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------