TSTP Solution File: SET957+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET957+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DjuNOnHuuw true
% Computer : n023.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 16:16:59 EDT 2023
% Result : Theorem 0.56s 0.78s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 40 ( 7 unt; 13 typ; 0 def)
% Number of atoms : 65 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 251 ( 25 ~; 24 |; 8 &; 188 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(t110_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( subset @ A @ ( cartesian_product2 @ B @ C ) )
& ( subset @ D @ ( cartesian_product2 @ E @ F ) )
& ! [G: $i,H: $i] :
( ( in @ ( ordered_pair @ G @ H ) @ A )
<=> ( in @ ( ordered_pair @ G @ H ) @ D ) ) )
=> ( A = D ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( subset @ A @ ( cartesian_product2 @ B @ C ) )
& ( subset @ D @ ( cartesian_product2 @ E @ F ) )
& ! [G: $i,H: $i] :
( ( in @ ( ordered_pair @ G @ H ) @ A )
<=> ( in @ ( ordered_pair @ G @ H ) @ D ) ) )
=> ( A = D ) ),
inference('cnf.neg',[status(esa)],[t110_zfmisc_1]) ).
thf(zip_derived_cl11,plain,
subset @ sk__4 @ ( cartesian_product2 @ sk__5 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t103_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( subset @ A @ ( cartesian_product2 @ B @ C ) )
& ( in @ D @ A )
& ! [E: $i,F: $i] :
~ ( ( in @ E @ B )
& ( in @ F @ C )
& ( D
= ( ordered_pair @ E @ F ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( subset @ X0 @ ( cartesian_product2 @ X1 @ X2 ) )
| ( X3
= ( ordered_pair @ ( sk__2 @ X3 @ X2 @ X1 ) @ ( sk__3 @ X3 @ X2 @ X1 ) ) )
| ~ ( in @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[t103_zfmisc_1]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ( X0
= ( ordered_pair @ ( sk__2 @ X0 @ sk__6 @ sk__5 ) @ ( sk__3 @ X0 @ sk__6 @ sk__5 ) ) )
| ~ ( in @ X0 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X2: $i] :
( ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__7 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl147,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__4 )
| ( in @ X0 @ sk__7 )
| ~ ( in @ X0 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl121,zip_derived_cl13]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ( in @ X0 @ sk__7 )
| ~ ( in @ X0 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl147]) ).
thf(t2_tarski,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
<=> ( in @ C @ B ) )
=> ( A = B ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( in @ ( sk__10 @ X0 @ X1 ) @ X0 )
| ~ ( in @ ( sk__10 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t2_tarski]) ).
thf(zip_derived_cl158,plain,
! [X0: $i] :
( ~ ( in @ ( sk__10 @ sk__7 @ X0 ) @ sk__4 )
| ( X0 = sk__7 )
| ~ ( in @ ( sk__10 @ sk__7 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl15]) ).
thf(zip_derived_cl209,plain,
( ~ ( in @ ( sk__10 @ sk__7 @ sk__4 ) @ sk__4 )
| ( sk__4 = sk__7 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl14,plain,
sk__4 != sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl210,plain,
~ ( in @ ( sk__10 @ sk__7 @ sk__4 ) @ sk__4 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl209,zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( in @ ( sk__10 @ X0 @ X1 ) @ X0 )
| ( in @ ( sk__10 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[t2_tarski]) ).
thf(zip_derived_cl10,plain,
subset @ sk__7 @ ( cartesian_product2 @ sk__8 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( subset @ X0 @ ( cartesian_product2 @ X1 @ X2 ) )
| ( X3
= ( ordered_pair @ ( sk__2 @ X3 @ X2 @ X1 ) @ ( sk__3 @ X3 @ X2 @ X1 ) ) )
| ~ ( in @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[t103_zfmisc_1]) ).
thf(zip_derived_cl122,plain,
! [X0: $i] :
( ( X0
= ( ordered_pair @ ( sk__2 @ X0 @ sk__9 @ sk__8 ) @ ( sk__3 @ X0 @ sk__9 @ sk__8 ) ) )
| ~ ( in @ X0 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
| ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl162,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__7 )
| ( in @ X0 @ sk__4 )
| ~ ( in @ X0 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl12]) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ( in @ X0 @ sk__4 )
| ~ ( in @ X0 @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ( in @ ( sk__10 @ sk__7 @ X0 ) @ X0 )
| ( X0 = sk__7 )
| ( in @ ( sk__10 @ sk__7 @ X0 ) @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl166]) ).
thf(zip_derived_cl359,plain,
( ( sk__4 = sk__7 )
| ( in @ ( sk__10 @ sk__7 @ sk__4 ) @ sk__4 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl14_002,plain,
sk__4 != sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl360,plain,
in @ ( sk__10 @ sk__7 @ sk__4 ) @ sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl359,zip_derived_cl14]) ).
thf(zip_derived_cl377,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET957+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DjuNOnHuuw true
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 11:39:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.78 % Solved by fo/fo6_bce.sh.
% 0.56/0.78 % BCE start: 17
% 0.56/0.78 % BCE eliminated: 0
% 0.56/0.78 % PE start: 17
% 0.56/0.78 logic: eq
% 0.56/0.78 % PE eliminated: 1
% 0.56/0.78 % done 90 iterations in 0.072s
% 0.56/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.78 % SZS output start Refutation
% See solution above
% 0.56/0.78
% 0.56/0.78
% 0.56/0.78 % Terminating...
% 0.56/0.83 % Runner terminated.
% 0.56/0.84 % Zipperpin 1.5 exiting
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