%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET063+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 08:31:50 AM UTC 2026
% Result : Theorem 15.71s 8.97s
% Output : CNFRefutation 15.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 33 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 8 |; 1 &)
% ( 2 <=>; 3 =>; 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 : 21 ( 3 sgn 8 !; 0 ?)
% 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$uclass') ).
fof(corollary_of_null_class_is_subclass,conjecture,
! [X0] :
( subclass(X0,'null$uclass')
=> X0 = 'null$uclass' ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( subclass(X0,'null$uclass')
=> X0 = 'null$uclass' ),
inference(negate_conjecture,[status(cth)],[corollary_of_null_class_is_subclass]) ).
cnf(c0,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_defn]) ).
cnf(c1,plain,
( member(sK3(X0,X1),X0)
| subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_defn]) ).
cnf(c6,plain,
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[extensionality]) ).
cnf(c31,plain,
~ member(X0,'null$uclass'),
inference(clausification,[status(esa)],[null_class_defn]) ).
cnf(c89,plain,
subclass(sK90,'null$uclass'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
sK90 != 'null$uclass',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ member(X0,sK90)
| member(X0,'null$uclass') ),
inference(resolution,[status(thm)],[c0,c89]) ).
cnf(d1,plain,
( subclass(sK90,X0)
| member(sK3(sK90,X0),'null$uclass') ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
subclass(sK90,X0),
inference(resolution,[status(thm)],[c31,d1]) ).
cnf(d3,plain,
( ~ subclass(X0,sK90)
| X0 = sK90 ),
inference(resolution,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
subclass('null$uclass',X0),
inference(resolution,[status(thm)],[c31,c1]) ).
cnf(d5,plain,
'null$uclass' = sK90,
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
'null$uclass' != 'null$uclass',
inference(demodulation,[status(thm)],[c90,d5]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET063+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/5.45 % Computer : n008.cluster.edu
% 0.20/5.45 % Model : x86_64 x86_64
% 0.20/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/5.45 % Memory : 8046.5625MB
% 0.20/5.45 % OS : Linux 6.8.0-71-generic
% 0.20/5.45 % CPULimit : 300
% 0.20/5.45 % WCLimit : 300
% 0.20/5.45 % DateTime : Sat Sep 26 07:01:45 UTC 2026
% 0.20/5.46 % CPUTime :
% 0.20/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.71/8.97 % SZS status Theorem for theBenchmark.p
% 15.71/8.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------