%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET062+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IZ8SZSZlIh true
% Computer : n027.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 04:51:22 PM UTC 2025
% Result : Theorem 0.48s 0.71s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 4 ~; 1 |; 0 &; 26 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 ^; 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(prove_empty_set_subset,conjecture,
! [B: $i] : ( subset @ empty_set @ B ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] : ( subset @ empty_set @ B ),
inference('cnf.neg',[status(esa)],[prove_empty_set_subset]) ).
thf(zip_derived_cl7,plain,
~ ( subset @ empty_set @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
member @ ( sk_ @ sk__2 @ empty_set ) @ empty_set,
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl14,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET062+3 : TPTP v9.2.0. Released v2.2.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IZ8SZSZlIh true
% 0.12/0.33 % Computer : n027.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 13:01:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.46/0.58 % Total configuration time : 435
% 0.46/0.58 % Estimated wc time : 1092
% 0.46/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.71 % Solved by fo/fo3_bce.sh.
% 0.48/0.71 % BCE start: 8
% 0.48/0.71 % BCE eliminated: 0
% 0.48/0.71 % PE start: 8
% 0.48/0.71 logic: neq
% 0.48/0.71 % PE eliminated: 2
% 0.48/0.71 % done 2 iterations in 0.008s
% 0.48/0.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.71 % SZS output start Refutation
% See solution above
% 0.48/0.71
% 0.48/0.71
% 0.48/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.71 % Terminating...
% 0.55/0.80 % Runner terminated.
% 0.55/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------