%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET080-7 : 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 : n018.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 08:31:56 AM UTC 2026
% Result : Unsatisfiable 15.54s 4.01s
% Output : CNFRefutation 15.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(null_class_is_a_set,axiom,
member('null$uclass','universal$uclass') ).
cnf(set_in_its_singleton,axiom,
( member(X0,singleton(X0))
| ~ member(X0,'universal$uclass') ) ).
cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
~ member('null$uclass',singleton('null$uclass')) ).
cnf(c15,plain,
member('null$uclass','universal$uclass'),
inference(clausification,[status(esa)],[null_class_is_a_set]) ).
cnf(c30,plain,
( member(X0,singleton(X0))
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[set_in_its_singleton]) ).
cnf(c32,plain,
~ member('null$uclass',singleton('null$uclass')),
inference(clausification,[status(esa)],[prove_null_class_in_its_singleton_1]) ).
cnf(d0,plain,
~ member('null$uclass','universal$uclass'),
inference(resolution,[status(thm)],[c30,c32]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c15,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET080-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 07:06:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.54/4.01 % SZS status Unsatisfiable for theBenchmark.p
% 15.54/4.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------