TSTP Solution File: SET754+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET754+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UTkq3TqqyF true
% Computer : n003.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 16:15:51 EDT 2023
% Result : Theorem 40.56s 6.34s
% Output : Refutation 40.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of formulae : 71 ( 8 unt; 19 typ; 0 def)
% Number of atoms : 135 ( 2 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 578 ( 41 ~; 52 |; 14 &; 454 @)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 5 con; 0-5 aty)
% Number of variables : 130 ( 0 ^; 126 !; 4 ?; 130 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(maps_type,type,
maps: $i > $i > $i > $o ).
thf(inverse_image2_type,type,
inverse_image2: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(image2_type,type,
image2: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__7_type,type,
sk__7: $i > $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(thIIa04,conjecture,
! [F: $i,A: $i,B: $i,C: $i] :
( ( ( maps @ F @ A @ B )
& ( subset @ C @ A ) )
=> ( subset @ C @ ( inverse_image2 @ F @ ( image2 @ F @ C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [F: $i,A: $i,B: $i,C: $i] :
( ( ( maps @ F @ A @ B )
& ( subset @ C @ A ) )
=> ( subset @ C @ ( inverse_image2 @ F @ ( image2 @ F @ C ) ) ) ),
inference('cnf.neg',[status(esa)],[thIIa04]) ).
thf(zip_derived_cl25,plain,
~ ( subset @ sk__11 @ ( inverse_image2 @ sk__8 @ ( image2 @ sk__8 @ sk__11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(maps,axiom,
! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
<=> ( ! [X: $i,Y1: $i,Y2: $i] :
( ( ( member @ Y2 @ B )
& ( member @ Y1 @ B )
& ( member @ X @ A ) )
=> ( ( ( apply @ F @ X @ Y2 )
& ( apply @ F @ X @ Y1 ) )
=> ( Y1 = Y2 ) ) )
& ! [X: $i] :
( ( member @ X @ A )
=> ? [Y: $i] :
( ( member @ Y @ B )
& ( apply @ F @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [X: $i,B: $i,A: $i,F: $i] :
( ( zip_tseitin_2 @ X @ B @ A @ F )
<=> ( ( member @ X @ A )
=> ? [Y: $i] :
( ( apply @ F @ X @ Y )
& ( member @ Y @ B ) ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [Y2: $i,Y1: $i,X: $i,F: $i] :
( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F )
<=> ( ( ( apply @ F @ X @ Y1 )
& ( apply @ F @ X @ Y2 ) )
=> ( Y1 = Y2 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [Y2: $i,Y1: $i,X: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A )
<=> ( ( member @ X @ A )
& ( member @ Y1 @ B )
& ( member @ Y2 @ B ) ) ) ).
thf(zf_stmt_7,axiom,
! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
<=> ( ! [X: $i] : ( zip_tseitin_2 @ X @ B @ A @ F )
& ! [X: $i,Y1: $i,Y2: $i] :
( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A )
=> ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
| ~ ( maps @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl27,plain,
maps @ sk__8 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 @ sk__9 @ sk__8 ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl27]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ ( sk__1 @ X2 @ X3 @ X0 ) @ X3 )
| ~ ( zip_tseitin_2 @ X0 @ X3 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( member @ ( sk__1 @ sk__8 @ sk__10 @ X0 ) @ sk__10 )
| ~ ( member @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl11]) ).
thf(zip_derived_cl29_002,plain,
! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__10 @ sk__9 @ sk__8 ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl27]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X0 @ ( sk__1 @ X2 @ X3 @ X0 ) )
| ~ ( zip_tseitin_2 @ X0 @ X3 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( apply @ sk__8 @ X0 @ ( sk__1 @ sk__8 @ sk__10 @ X0 ) )
| ~ ( member @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl12]) ).
thf(inverse_image2,axiom,
! [F: $i,B: $i,X: $i] :
( ( member @ X @ ( inverse_image2 @ F @ B ) )
<=> ? [Y: $i] :
( ( apply @ F @ X @ Y )
& ( member @ Y @ B ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X0 @ ( inverse_image2 @ X1 @ X2 ) )
| ~ ( member @ X3 @ X2 )
| ~ ( apply @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[inverse_image2]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__9 )
| ~ ( member @ ( sk__1 @ sk__8 @ sk__10 @ X0 ) @ X1 )
| ( member @ X0 @ ( inverse_image2 @ sk__8 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl24]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__9 )
| ( member @ X0 @ ( inverse_image2 @ sk__8 @ sk__10 ) )
| ~ ( member @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl57]) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ( member @ X0 @ ( inverse_image2 @ sk__8 @ sk__10 ) )
| ~ ( member @ X0 @ sk__9 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ ( inverse_image2 @ sk__8 @ sk__10 ) @ X0 ) @ sk__9 )
| ( subset @ X0 @ ( inverse_image2 @ sk__8 @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl1]) ).
thf(zip_derived_cl100,plain,
( ( subset @ sk__9 @ ( inverse_image2 @ sk__8 @ sk__10 ) )
| ( subset @ sk__9 @ ( inverse_image2 @ sk__8 @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl76]) ).
thf(zip_derived_cl102,plain,
subset @ sk__9 @ ( inverse_image2 @ sk__8 @ sk__10 ),
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl26,plain,
subset @ sk__11 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_004,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X2 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( member @ ( sk_ @ X0 @ sk__11 ) @ sk__9 )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl31]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__11 @ X0 )
| ~ ( subset @ sk__9 @ X1 )
| ( member @ ( sk_ @ X0 @ sk__11 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl0]) ).
thf(zip_derived_cl150,plain,
! [X0: $i] :
( ( member @ ( sk_ @ X0 @ sk__11 ) @ ( inverse_image2 @ sk__8 @ sk__10 ) )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl38]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply @ X0 @ X1 @ ( sk__7 @ X1 @ X2 @ X0 ) )
| ~ ( member @ X1 @ ( inverse_image2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[inverse_image2]) ).
thf(image2,axiom,
! [F: $i,A: $i,Y: $i] :
( ( member @ Y @ ( image2 @ F @ A ) )
<=> ? [X: $i] :
( ( apply @ F @ X @ Y )
& ( member @ X @ A ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X0 @ ( image2 @ X1 @ X2 ) )
| ~ ( member @ X3 @ X2 )
| ~ ( apply @ X1 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[image2]) ).
thf(zip_derived_cl307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X2 @ ( inverse_image2 @ X0 @ X1 ) )
| ~ ( member @ X2 @ X3 )
| ( member @ ( sk__7 @ X2 @ X1 @ X0 ) @ ( image2 @ X0 @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl21]) ).
thf(zip_derived_cl22_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply @ X0 @ X1 @ ( sk__7 @ X1 @ X2 @ X0 ) )
| ~ ( member @ X1 @ ( inverse_image2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[inverse_image2]) ).
thf(zip_derived_cl24_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X0 @ ( inverse_image2 @ X1 @ X2 ) )
| ~ ( member @ X3 @ X2 )
| ~ ( apply @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[inverse_image2]) ).
thf(zip_derived_cl308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X2 @ ( inverse_image2 @ X0 @ X1 ) )
| ~ ( member @ ( sk__7 @ X2 @ X1 @ X0 ) @ X3 )
| ( member @ X2 @ ( inverse_image2 @ X0 @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl24]) ).
thf(zip_derived_cl716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X3 @ X0 )
| ~ ( member @ X3 @ ( inverse_image2 @ X1 @ X2 ) )
| ( member @ X3 @ ( inverse_image2 @ X1 @ ( image2 @ X1 @ X0 ) ) )
| ~ ( member @ X3 @ ( inverse_image2 @ X1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl308]) ).
thf(zip_derived_cl718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X3 @ ( inverse_image2 @ X1 @ ( image2 @ X1 @ X0 ) ) )
| ~ ( member @ X3 @ ( inverse_image2 @ X1 @ X2 ) )
| ~ ( member @ X3 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl716]) ).
thf(zip_derived_cl768,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__11 @ X0 )
| ~ ( member @ ( sk_ @ X0 @ sk__11 ) @ X1 )
| ( member @ ( sk_ @ X0 @ sk__11 ) @ ( inverse_image2 @ sk__8 @ ( image2 @ sk__8 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl718]) ).
thf(zip_derived_cl19179,plain,
! [X0: $i] :
( ( subset @ sk__11 @ X0 )
| ( member @ ( sk_ @ X0 @ sk__11 ) @ ( inverse_image2 @ sk__8 @ ( image2 @ sk__8 @ sk__11 ) ) )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl768]) ).
thf(zip_derived_cl19183,plain,
! [X0: $i] :
( ( member @ ( sk_ @ X0 @ sk__11 ) @ ( inverse_image2 @ sk__8 @ ( image2 @ sk__8 @ sk__11 ) ) )
| ( subset @ sk__11 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19179]) ).
thf(zip_derived_cl19259,plain,
( ( subset @ sk__11 @ ( inverse_image2 @ sk__8 @ ( image2 @ sk__8 @ sk__11 ) ) )
| ( subset @ sk__11 @ ( inverse_image2 @ sk__8 @ ( image2 @ sk__8 @ sk__11 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl19183]) ).
thf(zip_derived_cl19261,plain,
subset @ sk__11 @ ( inverse_image2 @ sk__8 @ ( image2 @ sk__8 @ sk__11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl19259]) ).
thf(zip_derived_cl19275,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl19261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET754+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.15/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UTkq3TqqyF true
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 13:47:24 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.61 % Total configuration time : 435
% 0.22/0.61 % Estimated wc time : 1092
% 0.22/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 40.56/6.34 % Solved by fo/fo4.sh.
% 40.56/6.34 % done 1857 iterations in 5.584s
% 40.56/6.34 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 40.56/6.34 % SZS output start Refutation
% See solution above
% 40.56/6.34
% 40.56/6.34
% 40.56/6.34 % Terminating...
% 40.56/6.43 % Runner terminated.
% 40.56/6.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------