TSTP Solution File: SET903+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET903+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.m5LxWzljs1 true
% Computer : n025.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 16:16:44 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 44 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 78 ( 62 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 197 ( 32 ~; 25 |; 18 &; 119 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(t44_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( ( singleton @ A )
= ( set_union2 @ B @ C ) )
& ( B != C )
& ( B != empty_set )
& ( C != empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( ( singleton @ A )
= ( set_union2 @ B @ C ) )
& ( B != C )
& ( B != empty_set )
& ( C != empty_set ) ),
inference('cnf.neg',[status(esa)],[t44_zfmisc_1]) ).
thf(zip_derived_cl14,plain,
( ( singleton @ sk__2 )
= ( set_union2 @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t43_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ~ ( ( C = empty_set )
& ( B
= ( singleton @ A ) ) )
& ~ ( ( C
= ( singleton @ A ) )
& ( B = empty_set ) )
& ~ ( ( C
= ( singleton @ A ) )
& ( B
= ( singleton @ A ) ) )
& ( ( singleton @ A )
= ( set_union2 @ B @ C ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_2 @ C @ B @ A )
=> ( ( B
= ( singleton @ A ) )
& ( C
= ( singleton @ A ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_1 @ C @ B @ A )
=> ( ( B = empty_set )
& ( C
= ( singleton @ A ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ C @ B @ A )
=> ( ( B
= ( singleton @ A ) )
& ( C = empty_set ) ) ) ).
thf(zf_stmt_7,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( ( singleton @ A )
= ( set_union2 @ B @ C ) )
& ~ ( zip_tseitin_2 @ C @ B @ A )
& ~ ( zip_tseitin_1 @ C @ B @ A )
& ~ ( zip_tseitin_0 @ C @ B @ A ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( singleton @ X2 )
!= ( set_union2 @ X0 @ X1 ) )
| ( zip_tseitin_2 @ X1 @ X0 @ X2 )
| ( zip_tseitin_1 @ X1 @ X0 @ X2 )
| ( zip_tseitin_0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( singleton @ X0 ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X1 @ X2 @ X0 )
| ( zip_tseitin_2 @ X1 @ X2 @ X0 )
| ( ( singleton @ X0 )
!= ( set_union2 @ X2 @ X1 ) )
| ( X2
= ( singleton @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( singleton @ X0 ) )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( singleton @ X0 ) )
| ( ( singleton @ X0 )
!= ( set_union2 @ X2 @ X1 ) )
| ( zip_tseitin_1 @ X1 @ X2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl50,zip_derived_cl11]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = empty_set )
| ~ ( zip_tseitin_1 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( singleton @ X0 )
!= ( set_union2 @ X1 @ X2 ) )
| ( X1
= ( singleton @ X0 ) )
| ( X1 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl9]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ sk__3 @ sk__4 )
!= ( set_union2 @ X1 @ X0 ) )
| ( X1
= ( set_union2 @ sk__3 @ sk__4 ) )
| ( X1 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl69]) ).
thf(zip_derived_cl84,plain,
( ( sk__3 = empty_set )
| ( sk__3
= ( set_union2 @ sk__3 @ sk__4 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl17,plain,
sk__3 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85,plain,
( sk__3
= ( set_union2 @ sk__3 @ sk__4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl84,zip_derived_cl17]) ).
thf(zip_derived_cl14_001,plain,
( ( singleton @ sk__2 )
= ( set_union2 @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85_002,plain,
( sk__3
= ( set_union2 @ sk__3 @ sk__4 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl84,zip_derived_cl17]) ).
thf(zip_derived_cl86,plain,
( ( singleton @ sk__2 )
= sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl85]) ).
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_cl69_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( singleton @ X0 )
!= ( set_union2 @ X1 @ X2 ) )
| ( X1
= ( singleton @ X0 ) )
| ( X1 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl9]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( singleton @ X2 )
!= ( set_union2 @ X1 @ X0 ) )
| ( X0
= ( singleton @ X2 ) )
| ( X0 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl69]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i] :
( ( sk__3
!= ( set_union2 @ X1 @ X0 ) )
| ( X0 = sk__3 )
| ( X0 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl72]) ).
thf(zip_derived_cl105,plain,
( ( sk__3 != sk__3 )
| ( sk__4 = sk__3 )
| ( sk__4 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl96]) ).
thf(zip_derived_cl106,plain,
( ( sk__4 = empty_set )
| ( sk__4 = sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl15,plain,
sk__3 != sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
sk__4 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl106,zip_derived_cl15,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET903+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.m5LxWzljs1 true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 08:47:23 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
% 0.21/0.65 % 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
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % Solved by fo/fo6_bce.sh.
% 0.21/0.75 % BCE start: 18
% 0.21/0.75 % BCE eliminated: 0
% 0.21/0.75 % PE start: 18
% 0.21/0.75 logic: eq
% 0.21/0.75 % PE eliminated: 1
% 0.21/0.75 % done 32 iterations in 0.016s
% 0.21/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.75 % SZS output start Refutation
% See solution above
% 0.21/0.75
% 0.21/0.75
% 0.21/0.75 % Terminating...
% 1.42/0.86 % Runner terminated.
% 1.63/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------