%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET602+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.myty8vhjuT true
% Computer : n003.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 Oct 2 04:52:22 PM UTC 2025
% Result : Theorem 0.64s 0.80s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 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 : 0 ( 0 >; 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_cl76,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_cl78,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl12]) ).
thf(zip_derived_cl79,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET602+3 : TPTP v9.2.0. 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.myty8vhjuT true
% 0.14/0.34 % Computer : n003.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 : Wed Oct 1 12:59:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.58/0.70 % Total configuration time : 435
% 0.58/0.70 % Estimated wc time : 1092
% 0.58/0.70 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.64/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.64/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.64/0.80 % Solved by fo/fo6_bce.sh.
% 0.64/0.80 % BCE start: 16
% 0.64/0.80 % BCE eliminated: 0
% 0.64/0.80 % PE start: 16
% 0.64/0.80 logic: eq
% 0.64/0.80 % PE eliminated: 1
% 0.64/0.80 % done 7 iterations in 0.008s
% 0.64/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.64/0.80 % SZS output start Refutation
% See solution above
% 0.64/0.80
% 0.64/0.80
% 0.64/0.81 % Terminating...
% 0.70/0.90 % Runner terminated.
% 1.73/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------