%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:31:51 AM UTC 2026
% Result : Theorem 19.08s 7.87s
% Output : CNFRefutation 19.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 26 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 6 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 4 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subclass_defn,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ) ).
fof(extensionality,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ) ).
fof(null_class_defn,axiom,
! [X0] : ~ member(X0,'null$uclass') ).
fof(null_class_is_unique,conjecture,
! [X0] :
( ? [X1] : member(X1,X0)
| X0 = 'null$uclass' ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ? [X1] : member(X1,X0)
| X0 = 'null$uclass' ),
inference(negate_conjecture,[status(cth)],[null_class_is_unique]) ).
cnf(c1,plain,
( member(sK3(X0,X1),X0)
| subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_defn]) ).
cnf(c6,plain,
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[extensionality]) ).
cnf(c31,plain,
~ member(X0,'null$uclass'),
inference(clausification,[status(esa)],[null_class_defn]) ).
cnf(c89,plain,
sK90 != 'null$uclass',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
~ member(X0,sK90),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
subclass(sK90,X0),
inference(resolution,[status(thm)],[c1,c90]) ).
cnf(d1,plain,
( ~ subclass(X0,sK90)
| X0 = sK90 ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
subclass('null$uclass',X0),
inference(resolution,[status(thm)],[c31,c1]) ).
cnf(d3,plain,
'null$uclass' = sK90,
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
'null$uclass' != 'null$uclass',
inference(demodulation,[status(thm)],[c89,d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n015.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 07:05:04 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.08/7.87 % SZS status Theorem for theBenchmark.p
% 19.08/7.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------