TSTP Solution File: SET162+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET162+4 : 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.uFt76yJVtA true
% Computer : n027.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 16:13:07 EDT 2023
% Result : Theorem 27.03s 4.55s
% Output : Refutation 27.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 47 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 188 ( 14 ~; 17 |; 1 &; 152 @)
% ( 3 <=>; 1 =>; 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 : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(union_type,type,
union: $i > $i > $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(equal_set,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( equal_set @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(thI18,conjecture,
! [A: $i] : ( equal_set @ ( union @ A @ empty_set ) @ A ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] : ( equal_set @ ( union @ A @ empty_set ) @ A ),
inference('cnf.neg',[status(esa)],[thI18]) ).
thf(zip_derived_cl29,plain,
~ ( equal_set @ ( union @ sk__3 @ empty_set ) @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153,plain,
( ~ ( subset @ ( union @ sk__3 @ empty_set ) @ sk__3 )
| ~ ( subset @ sk__3 @ ( union @ sk__3 @ empty_set ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(union,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( union @ A @ B ) )
<=> ( ( member @ X @ A )
| ( member @ X @ B ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[union]) ).
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_cl183,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_cl12,zip_derived_cl1]) ).
thf(zip_derived_cl456,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( union @ X0 @ X1 ) )
| ( subset @ X0 @ ( union @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl183]) ).
thf(zip_derived_cl463,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl456]) ).
thf(zip_derived_cl470,plain,
~ ( subset @ ( union @ sk__3 @ empty_set ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl463]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ ( union @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[union]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( union @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( union @ X1 @ X0 ) ) @ X0 )
| ( member @ ( sk_ @ X2 @ ( union @ X1 @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).
thf(empty_set,axiom,
! [X: $i] :
~ ( member @ X @ empty_set ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set]) ).
thf(zip_derived_cl479,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X1 @ ( union @ X0 @ empty_set ) ) @ X0 )
| ( subset @ ( union @ X0 @ empty_set ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl14]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl19376,plain,
! [X0: $i] :
( ( subset @ ( union @ X0 @ empty_set ) @ X0 )
| ( subset @ ( union @ X0 @ empty_set ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl1]) ).
thf(zip_derived_cl19397,plain,
! [X0: $i] : ( subset @ ( union @ X0 @ empty_set ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl19376]) ).
thf(zip_derived_cl19418,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl470,zip_derived_cl19397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET162+4 : 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.uFt76yJVtA true
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 16:56:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.98/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 27.03/4.55 % Solved by fo/fo6_bce.sh.
% 27.03/4.55 % BCE start: 30
% 27.03/4.55 % BCE eliminated: 0
% 27.03/4.55 % PE start: 30
% 27.03/4.55 logic: eq
% 27.03/4.55 % PE eliminated: 3
% 27.03/4.55 % done 720 iterations in 3.801s
% 27.03/4.55 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.03/4.55 % SZS output start Refutation
% See solution above
% 27.03/4.55
% 27.03/4.55
% 27.03/4.55 % Terminating...
% 28.31/4.66 % Runner terminated.
% 28.31/4.68 % Zipperpin 1.5 exiting
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