TSTP Solution File: SET578+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET578+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.Dmlj0YqeUE true
% Computer : n008.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 16:14:40 EDT 2023
% Result : Theorem 1.42s 1.57s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 92 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 361 ( 24 ~; 35 |; 4 &; 290 @)
% ( 5 <=>; 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 : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $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(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(prove_th19,conjecture,
! [B: $i,C: $i,D: $i] :
( ! [E: $i] :
( ( member @ E @ B )
<=> ( ( member @ E @ C )
& ( member @ E @ D ) ) )
=> ( B
= ( intersection @ C @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ! [E: $i] :
( ( member @ E @ B )
<=> ( ( member @ E @ C )
& ( member @ E @ D ) ) )
=> ( B
= ( intersection @ C @ D ) ) ),
inference('cnf.neg',[status(esa)],[prove_th19]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( member @ X0 @ sk__2 )
| ~ ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__2 )
| ~ ( member @ ( sk_ @ sk__2 @ X0 ) @ sk__3 )
| ~ ( member @ ( sk_ @ sk__2 @ X0 ) @ sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl15]) ).
thf(zip_derived_cl9_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( intersection @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl2120,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__2 @ ( intersection @ sk__3 @ X0 ) ) @ sk__4 )
| ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__2 )
| ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl119]) ).
thf(zip_derived_cl2143,plain,
! [X0: $i] :
( ( subset @ ( intersection @ sk__3 @ X0 ) @ sk__2 )
| ~ ( member @ ( sk_ @ sk__2 @ ( intersection @ sk__3 @ X0 ) ) @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2120]) ).
thf(zip_derived_cl5508,plain,
( ( subset @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 )
| ( subset @ ( intersection @ sk__3 @ sk__4 ) @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl2143]) ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl6_002,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl5519,plain,
( ( subset @ ( intersection @ sk__4 @ sk__3 ) @ sk__2 )
| ( subset @ ( intersection @ sk__4 @ sk__3 ) @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl5508,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl5520,plain,
subset @ ( intersection @ sk__4 @ sk__3 ) @ sk__2,
inference(simplify,[status(thm)],[zip_derived_cl5519]) ).
thf(zip_derived_cl5534,plain,
( ~ ( subset @ sk__2 @ ( intersection @ sk__4 @ sk__3 ) )
| ( sk__2
= ( intersection @ sk__4 @ sk__3 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl5520]) ).
thf(zip_derived_cl9_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl17,plain,
! [X1: $i] :
( ( member @ X1 @ sk__4 )
| ~ ( member @ X1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl122,plain,
! [X0: $i] :
( ( subset @ sk__2 @ X0 )
| ( member @ ( sk_ @ X0 @ sk__2 ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl17]) ).
thf(zip_derived_cl9_004,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl16,plain,
! [X1: $i] :
( ( member @ X1 @ sk__3 )
| ~ ( member @ X1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ( subset @ sk__2 @ X0 )
| ( member @ ( sk_ @ X0 @ sk__2 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl16]) ).
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_cl8_005,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl49,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('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).
thf(zip_derived_cl260,plain,
! [X0: $i] :
( ( subset @ sk__2 @ ( intersection @ sk__3 @ X0 ) )
| ( subset @ sk__2 @ ( intersection @ sk__3 @ X0 ) )
| ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ X0 ) @ sk__2 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl49]) ).
thf(zip_derived_cl276,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ ( intersection @ sk__3 @ X0 ) @ sk__2 ) @ X0 )
| ( subset @ sk__2 @ ( intersection @ sk__3 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl260]) ).
thf(zip_derived_cl450,plain,
( ( subset @ sk__2 @ ( intersection @ sk__3 @ sk__4 ) )
| ( subset @ sk__2 @ ( intersection @ sk__3 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl276]) ).
thf(zip_derived_cl6_006,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl6_007,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl455,plain,
( ( subset @ sk__2 @ ( intersection @ sk__4 @ sk__3 ) )
| ( subset @ sk__2 @ ( intersection @ sk__4 @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl450,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl456,plain,
subset @ sk__2 @ ( intersection @ sk__4 @ sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl455]) ).
thf(zip_derived_cl5536,plain,
( sk__2
= ( intersection @ sk__4 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl5534,zip_derived_cl456]) ).
thf(zip_derived_cl18,plain,
( sk__2
!= ( intersection @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_008,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl20,plain,
( sk__2
!= ( intersection @ sk__4 @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl6]) ).
thf(zip_derived_cl5537,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5536,zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET578+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Dmlj0YqeUE true
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 10:51:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.42/1.57 % Solved by fo/fo4.sh.
% 1.42/1.57 % done 932 iterations in 0.752s
% 1.42/1.57 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/1.57 % SZS output start Refutation
% See solution above
% 1.42/1.57
% 1.42/1.57
% 1.42/1.57 % Terminating...
% 7.40/1.66 % Runner terminated.
% 7.40/1.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------