TSTP Solution File: SET691+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET691+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.Wx7u1X9AQL true
% Computer : n010.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 16:15:37 EDT 2023
% Result : Theorem 0.49s 0.68s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 34 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 98 ( 14 ~; 10 |; 1 &; 68 @)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $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(thI16,conjecture,
! [A: $i] :
( ( subset @ A @ empty_set )
<=> ( equal_set @ A @ empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( subset @ A @ empty_set )
<=> ( equal_set @ A @ empty_set ) ),
inference('cnf.neg',[status(esa)],[thI16]) ).
thf(zip_derived_cl30,plain,
( ~ ( equal_set @ sk__3 @ empty_set )
| ~ ( subset @ sk__3 @ empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl159,plain,
( ~ ( subset @ sk__3 @ empty_set )
| ~ ( subset @ empty_set @ sk__3 )
| ~ ( subset @ sk__3 @ empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl30]) ).
thf(zip_derived_cl169,plain,
( ~ ( subset @ empty_set @ sk__3 )
| ~ ( subset @ sk__3 @ empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl159]) ).
thf(zip_derived_cl29,plain,
( ( equal_set @ sk__3 @ empty_set )
| ( subset @ sk__3 @ empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( equal_set @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(zip_derived_cl160,plain,
( ( subset @ sk__3 @ empty_set )
| ( subset @ sk__3 @ empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl3]) ).
thf(zip_derived_cl165,plain,
subset @ sk__3 @ empty_set,
inference(simplify,[status(thm)],[zip_derived_cl160]) ).
thf(zip_derived_cl170,plain,
~ ( subset @ empty_set @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl165]) ).
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(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_cl174,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).
thf(zip_derived_cl180,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET691+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.Wx7u1X9AQL true
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 10:54:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.20/0.34 % Running in FO mode
% 0.20/0.60 % Total configuration time : 435
% 0.20/0.60 % Estimated wc time : 1092
% 0.20/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.68 % Solved by fo/fo6_bce.sh.
% 0.49/0.68 % BCE start: 31
% 0.49/0.68 % BCE eliminated: 0
% 0.49/0.68 % PE start: 31
% 0.49/0.68 logic: eq
% 0.49/0.68 % PE eliminated: 2
% 0.49/0.68 % done 13 iterations in 0.012s
% 0.49/0.68 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.68 % SZS output start Refutation
% See solution above
% 0.49/0.68
% 0.49/0.68
% 0.49/0.68 % Terminating...
% 0.49/0.70 % Runner terminated.
% 0.49/0.71 % Zipperpin 1.5 exiting
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