TSTP Solution File: SET594+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET594+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t1IF8blt7b true
% Computer : n026.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 16:14:48 EDT 2023
% Result : Theorem 0.21s 0.81s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 64 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 279 ( 18 ~; 26 |; 1 &; 228 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 0 ^; 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(prove_th53,conjecture,
! [B: $i,C: $i,D: $i] :
( ( ( union @ ( intersection @ B @ C ) @ ( intersection @ B @ D ) )
= B )
=> ( subset @ B @ ( union @ C @ D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( ( union @ ( intersection @ B @ C ) @ ( intersection @ B @ D ) )
= B )
=> ( subset @ B @ ( union @ C @ D ) ) ),
inference('cnf.neg',[status(esa)],[prove_th53]) ).
thf(zip_derived_cl20,plain,
~ ( subset @ sk__2 @ ( union @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl19,plain,
( ( union @ ( intersection @ sk__2 @ sk__3 ) @ ( intersection @ sk__2 @ sk__4 ) )
= sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(union_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( union @ B @ C ) )
<=> ( ( member @ D @ B )
| ( member @ D @ C ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ ( union @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( member @ X0 @ ( intersection @ sk__2 @ sk__4 ) )
| ( member @ X0 @ ( intersection @ sk__2 @ sk__3 ) )
| ~ ( member @ X0 @ sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl3]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__2 )
| ( member @ X0 @ ( intersection @ sk__2 @ sk__3 ) )
| ( member @ X0 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl7]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl131,plain,
! [X0: $i] :
( ( member @ X0 @ sk__4 )
| ~ ( member @ X0 @ sk__2 )
| ( member @ X0 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl171,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ ( union @ sk__4 @ X1 ) @ X0 ) @ sk__3 )
| ~ ( member @ ( sk_ @ ( union @ sk__4 @ X1 ) @ X0 ) @ sk__2 )
| ( subset @ X0 @ ( union @ sk__4 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl113]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[union_defn]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X0 )
| ( subset @ X2 @ ( union @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl213,plain,
! [X0: $i] :
( ( subset @ X0 @ ( union @ sk__4 @ sk__3 ) )
| ~ ( member @ ( sk_ @ ( union @ sk__4 @ sk__3 ) @ X0 ) @ sk__2 )
| ( subset @ X0 @ ( union @ sk__4 @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl119]) ).
thf(commutativity_of_union,axiom,
! [B: $i,C: $i] :
( ( union @ B @ C )
= ( union @ C @ B ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl12_004,plain,
! [X0: $i,X1: $i] :
( ( union @ X1 @ X0 )
= ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_union]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] :
( ( subset @ X0 @ ( union @ sk__3 @ sk__4 ) )
| ~ ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ X0 ) @ sk__2 )
| ( subset @ X0 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl12,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ ( union @ sk__3 @ sk__4 ) @ X0 ) @ sk__2 )
| ( subset @ X0 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl226,plain,
( ( subset @ sk__2 @ ( union @ sk__3 @ sk__4 ) )
| ( subset @ sk__2 @ ( union @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl217]) ).
thf(zip_derived_cl227,plain,
subset @ sk__2 @ ( union @ sk__3 @ sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl228,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET594+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t1IF8blt7b true
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 09:32:33 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.81 % Solved by fo/fo6_bce.sh.
% 0.21/0.81 % BCE start: 21
% 0.21/0.81 % BCE eliminated: 0
% 0.21/0.81 % PE start: 21
% 0.21/0.81 logic: eq
% 0.21/0.81 % PE eliminated: 0
% 0.21/0.81 % done 86 iterations in 0.072s
% 0.21/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.81 % SZS output start Refutation
% See solution above
% 0.21/0.81
% 0.21/0.81
% 0.21/0.81 % Terminating...
% 0.21/0.87 % Runner terminated.
% 0.21/0.88 % Zipperpin 1.5 exiting
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