%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET079-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 9.64s 3.53s
% Output : CNFRefutation 9.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 14 ( 2 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_null_class,axiom,
~ member(X0,'null$uclass') ).
cnf(set_in_its_singleton,axiom,
( member(X0,singleton(X0))
| ~ member(X0,'universal$uclass') ) ).
cnf(prove_corollary_to_set_in_its_singleton_1,negated_conjecture,
member(x,'universal$uclass') ).
cnf(prove_corollary_to_set_in_its_singleton_2,negated_conjecture,
singleton(x) = 'null$uclass' ).
cnf(c11,plain,
~ member(X0,'null$uclass'),
inference(clausification,[status(esa)],[existence_of_null_class]) ).
cnf(c30,plain,
( member(X0,singleton(X0))
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[set_in_its_singleton]) ).
cnf(c31,plain,
member(x,'universal$uclass'),
inference(clausification,[status(esa)],[prove_corollary_to_set_in_its_singleton_1]) ).
cnf(c32,plain,
singleton(x) = 'null$uclass',
inference(clausification,[status(esa)],[prove_corollary_to_set_in_its_singleton_2]) ).
cnf(d0,plain,
( ~ member(x,'universal$uclass')
| member(x,'null$uclass') ),
inference(superposition,[status(thm)],[c32,c30]) ).
cnf(d1,plain,
~ member(x,'universal$uclass'),
inference(resolution,[status(thm)],[c11,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c31,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET079-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n007.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 26 07:01:53 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.64/3.53 % SZS status Unsatisfiable for theBenchmark.p
% 9.64/3.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------