TSTP Solution File: SET602+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET602+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.E8t28nx8Z9 true
% Computer : n020.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 0.22s 0.78s
% Output : Refutation 0.22s
% 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(subset_type,type,
subset: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
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_cl1,plain,
! [X0: $i,X1: $i] :
( ( ( difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_empty_set]) ).
thf(prove_self_difference_is_empty_set,conjecture,
! [B: $i] :
( ( difference @ B @ B )
= empty_set ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( difference @ B @ B )
= empty_set ),
inference('cnf.neg',[status(esa)],[prove_self_difference_is_empty_set]) ).
thf(zip_derived_cl15,plain,
( ( difference @ sk__2 @ sk__2 )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
( ~ ( subset @ sk__2 @ sk__2 )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).
thf(reflexivity_of_subset,axiom,
! [B: $i] : ( subset @ B @ B ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_subset]) ).
thf(zip_derived_cl17,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET602+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.E8t28nx8Z9 true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 09:40:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.78 % Solved by fo/fo1_av.sh.
% 0.22/0.78 % done 4 iterations in 0.006s
% 0.22/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.78 % SZS output start Refutation
% See solution above
% 0.22/0.78
% 0.22/0.78
% 0.22/0.78 % Terminating...
% 1.49/0.87 % Runner terminated.
% 1.49/0.88 % Zipperpin 1.5 exiting
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