TSTP Solution File: SET602+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET602+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.g8xdBCrvrv true
% Computer : n024.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 16:14:54 EDT 2023
% Result : Theorem 1.31s 0.80s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 143 ( 12 ~; 11 |; 2 &; 114 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(difference_type,type,
difference: $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(thI29,conjecture,
! [E: $i] : ( equal_set @ ( difference @ E @ E ) @ empty_set ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i] : ( equal_set @ ( difference @ E @ E ) @ empty_set ),
inference('cnf.neg',[status(esa)],[thI29]) ).
thf(zip_derived_cl29,plain,
~ ( equal_set @ ( difference @ sk__3 @ sk__3 ) @ empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(difference,axiom,
! [B: $i,A: $i,E: $i] :
( ( member @ B @ ( difference @ E @ A ) )
<=> ( ( member @ B @ E )
& ~ ( member @ B @ A ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ( member @ ( sk_ @ X2 @ ( difference @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).
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_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( difference @ X1 @ X0 ) @ X2 )
| ~ ( member @ ( sk_ @ X2 @ ( difference @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl16]) ).
thf(zip_derived_cl280,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( difference @ X0 @ X0 ) @ X1 )
| ( subset @ ( difference @ X0 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl39]) ).
thf(zip_derived_cl282,plain,
! [X0: $i,X1: $i] : ( subset @ ( difference @ X0 @ X0 ) @ X1 ),
inference(simplify,[status(thm)],[zip_derived_cl280]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
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_cl32,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).
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_cl40,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ empty_set )
| ( equal_set @ X0 @ empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl5]) ).
thf(zip_derived_cl312,plain,
! [X0: $i] : ( equal_set @ ( difference @ X0 @ X0 ) @ empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl40]) ).
thf(zip_derived_cl314,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET602+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g8xdBCrvrv true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 09:02:39 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.02/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.80 % Solved by fo/fo5.sh.
% 1.31/0.80 % done 98 iterations in 0.043s
% 1.31/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.80 % SZS output start Refutation
% See solution above
% 1.31/0.80
% 1.31/0.80
% 1.31/0.80 % Terminating...
% 1.42/0.85 % Runner terminated.
% 1.42/0.85 % Zipperpin 1.5 exiting
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