%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET062-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Unsatisfiable 19.82s 3.31s
% Output : CNFRefutation 19.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_null_class,axiom,
~ member(X0,'null$uclass') ).
cnf(prove_null_class_is_subclass_1,negated_conjecture,
~ subclass('null$uclass',x) ).
cnf(not_subclass_members1,axiom,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ) ).
cnf(c11,plain,
~ member(X0,'null$uclass'),
inference(clausification,[status(esa)],[existence_of_null_class]) ).
cnf(c12,plain,
~ subclass('null$uclass',x),
inference(clausification,[status(esa)],[prove_null_class_is_subclass_1]) ).
cnf(c14,plain,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ),
inference(clausification,[status(esa)],[not_subclass_members1]) ).
cnf(d0,plain,
subclass('null$uclass',X0),
inference(resolution,[status(thm)],[c14,c11]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET062-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n006.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 07:00:42 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.82/3.31 % SZS status Unsatisfiable for theBenchmark.p
% 19.82/3.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------