TSTP Solution File: SET902+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET902+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.GMaTqehv4l true
% Computer : n004.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 16:16:43 EDT 2023
% Result : Theorem 0.21s 0.74s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 18 unt; 7 typ; 0 def)
% Number of atoms : 97 ( 92 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 183 ( 37 ~; 39 |; 12 &; 94 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(t43_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( ( singleton @ A )
= ( set_union2 @ B @ C ) )
& ~ ( ( B
= ( singleton @ A ) )
& ( C
= ( singleton @ A ) ) )
& ~ ( ( B = empty_set )
& ( C
= ( singleton @ A ) ) )
& ~ ( ( B
= ( singleton @ A ) )
& ( C = empty_set ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( ( singleton @ A )
= ( set_union2 @ B @ C ) )
& ~ ( ( B
= ( singleton @ A ) )
& ( C
= ( singleton @ A ) ) )
& ~ ( ( B = empty_set )
& ( C
= ( singleton @ A ) ) )
& ~ ( ( B
= ( singleton @ A ) )
& ( C = empty_set ) ) ),
inference('cnf.neg',[status(esa)],[t43_zfmisc_1]) ).
thf(zip_derived_cl15,plain,
( ( singleton @ sk__2 )
= ( set_union2 @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15_001,plain,
( ( singleton @ sk__2 )
= ( set_union2 @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t7_xboole_1,axiom,
! [A: $i,B: $i] : ( subset @ A @ ( set_union2 @ A @ B ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
thf(l4_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ ( singleton @ B ) )
<=> ( ( A = empty_set )
| ( A
= ( singleton @ B ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( singleton @ X0 ) )
| ( X1 = empty_set )
| ~ ( subset @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X2 )
| ( ( set_union2 @ X1 @ X0 )
!= ( singleton @ X3 ) )
| ( X2 = empty_set )
| ( X2
= ( singleton @ X3 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl6]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( singleton @ X1 ) )
| ( X0 = empty_set )
| ( ( set_union2 @ X0 @ X2 )
!= ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ( sk__3
= ( singleton @ X0 ) )
| ( sk__3 = empty_set )
| ( ( singleton @ sk__2 )
!= ( singleton @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl54]) ).
thf(zip_derived_cl63,plain,
( ( sk__3 = empty_set )
| ( sk__3
= ( singleton @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl15_002,plain,
( ( singleton @ sk__2 )
= ( set_union2 @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl54_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( singleton @ X1 ) )
| ( X0 = empty_set )
| ( ( set_union2 @ X0 @ X2 )
!= ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( singleton @ X2 ) )
| ( X0 = empty_set )
| ( ( set_union2 @ X1 @ X0 )
!= ( singleton @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl54]) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( sk__4
= ( singleton @ X0 ) )
| ( sk__4 = empty_set )
| ( ( singleton @ sk__2 )
!= ( singleton @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl55]) ).
thf(zip_derived_cl74,plain,
( ( sk__3 = empty_set )
| ( sk__4 = sk__3 )
| ( sk__4 = empty_set )
| ( sk__3 != sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl62]) ).
thf(zip_derived_cl76,plain,
( ( sk__4 = empty_set )
| ( sk__4 = sk__3 )
| ( sk__3 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl63_004,plain,
( ( sk__3 = empty_set )
| ( sk__3
= ( singleton @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl14,plain,
( ( sk__3
!= ( singleton @ sk__2 ) )
| ( sk__4
!= ( singleton @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
( ( sk__3 = empty_set )
| ( sk__3 != sk__3 )
| ( sk__4 != sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl14]) ).
thf(zip_derived_cl71,plain,
( ( sk__4 != sk__3 )
| ( sk__3 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl90,plain,
( ( sk__3 = empty_set )
| ( sk__4 = empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl71]) ).
thf(zip_derived_cl12,plain,
( ( sk__3
!= ( singleton @ sk__2 ) )
| ( sk__4 != empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
( ( sk__3 = empty_set )
| ( sk__3
!= ( singleton @ sk__2 ) )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl12]) ).
thf(zip_derived_cl94,plain,
( ( sk__3
!= ( singleton @ sk__2 ) )
| ( sk__3 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl63_005,plain,
( ( sk__3 = empty_set )
| ( sk__3
= ( singleton @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl97,plain,
sk__3 = empty_set,
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl63]) ).
thf(zip_derived_cl102,plain,
( ( singleton @ sk__2 )
= ( set_union2 @ empty_set @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl97]) ).
thf(zip_derived_cl62_006,plain,
! [X0: $i] :
( ( sk__4
= ( singleton @ X0 ) )
| ( sk__4 = empty_set )
| ( ( singleton @ sk__2 )
!= ( singleton @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl55]) ).
thf(zip_derived_cl75,plain,
( ( sk__4 = empty_set )
| ( sk__4
= ( singleton @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl13,plain,
( ( sk__3 != empty_set )
| ( sk__4
!= ( singleton @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97_007,plain,
sk__3 = empty_set,
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl63]) ).
thf(zip_derived_cl99,plain,
( ( empty_set != empty_set )
| ( sk__4
!= ( singleton @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl97]) ).
thf(zip_derived_cl100,plain,
( sk__4
!= ( singleton @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl99]) ).
thf(zip_derived_cl105,plain,
( ( sk__4 = empty_set )
| ( sk__4 != sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl100]) ).
thf(zip_derived_cl106,plain,
sk__4 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl105]) ).
thf(idempotence_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ A )
= A ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( set_union2 @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence_k2_xboole_0]) ).
thf(zip_derived_cl111,plain,
( ( singleton @ sk__2 )
= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl106,zip_derived_cl4]) ).
thf(l1_zfmisc_1,axiom,
! [A: $i] :
( ( singleton @ A )
!= empty_set ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( singleton @ X0 )
!= empty_set ),
inference(cnf,[status(esa)],[l1_zfmisc_1]) ).
thf(zip_derived_cl112,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl111,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET902+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.GMaTqehv4l true
% 0.14/0.35 % Computer : n004.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 10:09:38 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
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % Solved by fo/fo6_bce.sh.
% 0.21/0.74 % BCE start: 17
% 0.21/0.74 % BCE eliminated: 3
% 0.21/0.74 % PE start: 14
% 0.21/0.74 logic: eq
% 0.21/0.74 % PE eliminated: 1
% 0.21/0.74 % done 37 iterations in 0.014s
% 0.21/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74 % SZS output start Refutation
% See solution above
% 0.21/0.74
% 0.21/0.74
% 0.21/0.74 % Terminating...
% 1.49/0.85 % Runner terminated.
% 1.49/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------