TSTP Solution File: SET693+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET693+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.DoGa5Rh3hP 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 16:15:38 EDT 2023
% Result : Theorem 1.39s 1.43s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 104 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 425 ( 40 ~; 43 |; 1 &; 334 @)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 71 ( 0 ^; 71 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(union_type,type,
union: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(power_set,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( power_set @ A ) )
<=> ( subset @ X @ A ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ X0 @ ( power_set @ X1 ) ) ),
inference(cnf,[status(esa)],[power_set]) ).
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(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ X0 @ ( power_set @ X1 ) ) ),
inference(cnf,[status(esa)],[power_set]) ).
thf(thI20,conjecture,
! [A: $i,B: $i] :
( ( equal_set @ A @ ( union @ A @ B ) )
<=> ( subset @ B @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( equal_set @ A @ ( union @ A @ B ) )
<=> ( subset @ B @ A ) ),
inference('cnf.neg',[status(esa)],[thI20]) ).
thf(zip_derived_cl30,plain,
( ~ ( subset @ sk__4 @ sk__3 )
| ~ ( equal_set @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
( ~ ( member @ sk__4 @ ( power_set @ sk__3 ) )
| ~ ( equal_set @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl30]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( power_set @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[power_set]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).
thf(union,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( union @ A @ B ) )
<=> ( ( member @ X @ A )
| ( member @ X @ B ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( union @ X1 @ X2 ) )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[union]) ).
thf(zip_derived_cl29,plain,
( ( subset @ sk__4 @ sk__3 )
| ( equal_set @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( equal_set @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(zip_derived_cl33,plain,
( ( subset @ sk__4 @ sk__3 )
| ( subset @ ( union @ sk__3 @ sk__4 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ( subset @ sk__4 @ sk__3 )
| ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ ( union @ sk__3 @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl0]) ).
thf(zip_derived_cl1386,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__4 )
| ( member @ X0 @ sk__3 )
| ( subset @ sk__4 @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl46]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl1472,plain,
! [X0: $i] :
( ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl1386,zip_derived_cl0]) ).
thf(zip_derived_cl1473,plain,
! [X0: $i] :
( ( member @ sk__4 @ ( power_set @ X0 ) )
| ( member @ ( sk_ @ X0 @ sk__4 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl1472]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl7_004,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( power_set @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[power_set]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl1725,plain,
( ( member @ sk__4 @ ( power_set @ sk__3 ) )
| ( member @ sk__4 @ ( power_set @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1473,zip_derived_cl75]) ).
thf(zip_derived_cl1727,plain,
member @ sk__4 @ ( power_set @ sk__3 ),
inference(simplify,[status(thm)],[zip_derived_cl1725]) ).
thf(zip_derived_cl1728,plain,
~ ( equal_set @ sk__3 @ ( union @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl1727]) ).
thf(zip_derived_cl1737,plain,
( ~ ( subset @ sk__3 @ ( union @ sk__3 @ sk__4 ) )
| ~ ( subset @ ( union @ sk__3 @ sk__4 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1728]) ).
thf(zip_derived_cl1741,plain,
( ~ ( member @ sk__3 @ ( power_set @ ( union @ sk__3 @ sk__4 ) ) )
| ~ ( subset @ ( union @ sk__3 @ sk__4 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1737]) ).
thf(zip_derived_cl1743,plain,
( ~ ( member @ ( sk_ @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) @ sk__3 )
| ~ ( member @ sk__3 @ ( power_set @ ( union @ sk__3 @ sk__4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1741]) ).
thf(zip_derived_cl36_005,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).
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_cl75_006,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( union @ X1 @ X0 ) @ X2 ) @ X1 )
| ( member @ X2 @ ( power_set @ ( union @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl75]) ).
thf(zip_derived_cl4802,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( power_set @ ( union @ X0 @ X1 ) ) )
| ( member @ X0 @ ( power_set @ ( union @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl519]) ).
thf(zip_derived_cl4813,plain,
! [X0: $i,X1: $i] : ( member @ X0 @ ( power_set @ ( union @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4802]) ).
thf(zip_derived_cl5177,plain,
~ ( member @ ( sk_ @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl1743,zip_derived_cl4813]) ).
thf(zip_derived_cl2_007,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl1741_008,plain,
( ~ ( member @ sk__3 @ ( power_set @ ( union @ sk__3 @ sk__4 ) ) )
| ~ ( subset @ ( union @ sk__3 @ sk__4 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1737]) ).
thf(zip_derived_cl4813_009,plain,
! [X0: $i,X1: $i] : ( member @ X0 @ ( power_set @ ( union @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4802]) ).
thf(zip_derived_cl5176,plain,
~ ( subset @ ( union @ sk__3 @ sk__4 ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl1741,zip_derived_cl4813]) ).
thf(zip_derived_cl5190,plain,
member @ ( sk_ @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) @ ( union @ sk__3 @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5176]) ).
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_cl5929,plain,
( ( member @ ( sk_ @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) @ sk__3 )
| ( member @ ( sk_ @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5190,zip_derived_cl11]) ).
thf(zip_derived_cl5177_010,plain,
~ ( member @ ( sk_ @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl1743,zip_derived_cl4813]) ).
thf(zip_derived_cl5930,plain,
member @ ( sk_ @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl5929,zip_derived_cl5177]) ).
thf(zip_derived_cl1472_011,plain,
! [X0: $i] :
( ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl1386,zip_derived_cl0]) ).
thf(zip_derived_cl5941,plain,
member @ ( sk_ @ sk__3 @ ( union @ sk__3 @ sk__4 ) ) @ sk__3,
inference('sup-',[status(thm)],[zip_derived_cl5930,zip_derived_cl1472]) ).
thf(zip_derived_cl5947,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5177,zip_derived_cl5941]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET693+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.DoGa5Rh3hP 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 15:41:48 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
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.39/1.43 % Solved by fo/fo7.sh.
% 1.39/1.43 % done 523 iterations in 0.668s
% 1.39/1.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/1.43 % SZS output start Refutation
% See solution above
% 1.39/1.43
% 1.39/1.43
% 1.39/1.43 % Terminating...
% 5.90/1.57 % Runner terminated.
% 5.90/1.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------