TSTP Solution File: SET183+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET183+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GtZokK9ww7 true
% Computer : n002.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 16:13:18 EDT 2023
% Result : Theorem 1.11s 0.76s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 52 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 198 ( 17 ~; 17 |; 2 &; 156 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(prove_subset_intersection,conjecture,
! [B: $i,C: $i] :
( ( subset @ B @ C )
=> ( ( intersection @ B @ C )
= B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( subset @ B @ C )
=> ( ( intersection @ B @ C )
= B ) ),
inference('cnf.neg',[status(esa)],[prove_subset_intersection]) ).
thf(zip_derived_cl16,plain,
subset @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__2 )
| ( member @ X0 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl4]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( intersection @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X1 )
| ~ ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ X2 @ ( intersection @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ X1 ) @ X0 ) @ sk__2 )
| ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ X1 ) @ X0 ) @ X1 )
| ( subset @ X0 @ ( intersection @ sk__3 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl98]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ( subset @ X0 @ ( intersection @ sk__3 @ sk__2 ) )
| ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ sk__2 ) @ X0 ) @ sk__2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl125]) ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl152,plain,
! [X0: $i] :
( ( subset @ X0 @ ( intersection @ sk__2 @ sk__3 ) )
| ~ ( member @ ( sk_ @ ( intersection @ sk__2 @ sk__3 ) @ X0 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl188,plain,
( ( subset @ sk__2 @ ( intersection @ sk__2 @ sk__3 ) )
| ( subset @ sk__2 @ ( intersection @ sk__2 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl152]) ).
thf(zip_derived_cl189,plain,
subset @ sk__2 @ ( intersection @ sk__2 @ sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl188]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl191,plain,
( ( ( intersection @ sk__2 @ sk__3 )
= sk__2 )
| ~ ( subset @ ( intersection @ sk__2 @ sk__3 ) @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl9]) ).
thf(intersection_is_subset,axiom,
! [B: $i,C: $i] : ( subset @ ( intersection @ B @ C ) @ B ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[intersection_is_subset]) ).
thf(zip_derived_cl193,plain,
( ( intersection @ sk__2 @ sk__3 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl191,zip_derived_cl3]) ).
thf(zip_derived_cl17,plain,
( ( intersection @ sk__2 @ sk__3 )
!= sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl193,zip_derived_cl17]) ).
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET183+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GtZokK9ww7 true
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 14:22:18 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.11/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.11/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.11/0.76 % Solved by fo/fo6_bce.sh.
% 1.11/0.76 % BCE start: 18
% 1.11/0.76 % BCE eliminated: 0
% 1.11/0.76 % PE start: 18
% 1.11/0.76 logic: eq
% 1.11/0.76 % PE eliminated: 0
% 1.11/0.76 % done 61 iterations in 0.029s
% 1.11/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.11/0.76 % SZS output start Refutation
% See solution above
% 1.11/0.76
% 1.11/0.76
% 1.11/0.76 % Terminating...
% 1.45/0.86 % Runner terminated.
% 1.45/0.87 % Zipperpin 1.5 exiting
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