TSTP Solution File: SET604+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET604+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.aa7dCVTmju true
% Computer : n015.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 16:14:56 EDT 2023
% Result : Theorem 0.21s 0.74s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 13 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 6 ~; 2 |; 0 &; 20 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(difference_type,type,
difference: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(difference_empty_set,axiom,
! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= empty_set )
<=> ( subset @ B @ C ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( ( difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_empty_set]) ).
thf(prove_no_difference_with_empty_set,conjecture,
! [B: $i] :
( ( difference @ empty_set @ B )
= empty_set ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( difference @ empty_set @ B )
= empty_set ),
inference('cnf.neg',[status(esa)],[prove_no_difference_with_empty_set]) ).
thf(zip_derived_cl16,plain,
( ( difference @ empty_set @ sk__2 )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
( ~ ( subset @ empty_set @ sk__2 )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl16]) ).
thf(empty_set_subset,axiom,
! [B: $i] : ( subset @ empty_set @ B ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference(cnf,[status(esa)],[empty_set_subset]) ).
thf(zip_derived_cl77,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl0]) ).
thf(zip_derived_cl78,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl77]) ).
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET604+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.aa7dCVTmju true
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 12:50:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % Solved by fo/fo6_bce.sh.
% 0.21/0.74 % BCE start: 17
% 0.21/0.74 % BCE eliminated: 0
% 0.21/0.74 % PE start: 17
% 0.21/0.74 logic: eq
% 0.21/0.74 % PE eliminated: 1
% 0.21/0.74 % done 7 iterations in 0.007s
% 0.21/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.74 % SZS output start Refutation
% See solution above
% 0.21/0.74
% 0.21/0.74
% 0.21/0.74 % Terminating...
% 1.08/0.88 % Runner terminated.
% 1.53/0.90 % Zipperpin 1.5 exiting
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