%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET065+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.njp8Btvmz7 true
% Computer : n002.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 04:51:24 PM UTC 2025
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 6 ~; 4 |; 3 &; 47 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 13 !; 1 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(inductive_type,type,
inductive: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(subclass_type,type,
subclass: $i > $i > $o ).
thf(image_type,type,
image: $i > $i > $i ).
thf(null_class_type,type,
null_class: $i ).
thf(successor_relation_type,type,
successor_relation: $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(null_class_is_a_set,conjecture,
member @ null_class @ universal_class ).
thf(zf_stmt_0,negated_conjecture,
~ ( member @ null_class @ universal_class ),
inference('cnf.neg',[status(esa)],[null_class_is_a_set]) ).
thf(zip_derived_cl89,plain,
~ ( member @ null_class @ universal_class ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(infinity,axiom,
? [X: $i] :
( ! [Y: $i] :
( ( inductive @ Y )
=> ( subclass @ X @ Y ) )
& ( inductive @ X )
& ( member @ X @ universal_class ) ) ).
thf(zip_derived_cl59,plain,
inductive @ sk__1,
inference(cnf,[status(esa)],[infinity]) ).
thf(inductive_defn,axiom,
! [X: $i] :
( ( inductive @ X )
<=> ( ( member @ null_class @ X )
& ( subclass @ ( image @ successor_relation @ X ) @ X ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( member @ null_class @ X0 )
| ~ ( inductive @ X0 ) ),
inference(cnf,[status(esa)],[inductive_defn]) ).
thf(zip_derived_cl413,plain,
member @ null_class @ sk__1,
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl55]) ).
thf(class_elements_are_sets,axiom,
! [X: $i] : ( subclass @ X @ universal_class ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] : ( subclass @ X0 @ universal_class ),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
thf(subclass_defn,axiom,
! [X: $i,Y: $i] :
( ( subclass @ X @ Y )
<=> ! [U: $i] :
( ( member @ U @ X )
=> ( member @ U @ Y ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subclass @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl419,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ X0 )
| ( member @ X1 @ universal_class ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl420,plain,
member @ null_class @ universal_class,
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl419]) ).
thf(zip_derived_cl423,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET065+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.njp8Btvmz7 true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:09:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76 % Solved by fo/fo6_bce.sh.
% 0.56/0.76 % BCE start: 90
% 0.56/0.76 % BCE eliminated: 0
% 0.56/0.76 % PE start: 90
% 0.56/0.76 logic: eq
% 0.56/0.76 % PE eliminated: 5
% 0.56/0.76 % done 7 iterations in 0.032s
% 0.56/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.76 % SZS output start Refutation
% See solution above
% 0.56/0.76
% 0.56/0.76
% 0.56/0.76 % Terminating...
% 0.61/0.84 % Runner terminated.
% 1.75/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------