%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET061-7 : 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 08:31:49 AM UTC 2026
% Result : Unsatisfiable 15.19s 2.31s
% Output : CNFRefutation 15.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 7 unt; 2 nHn; 6 RR)
% Number of literals : 11 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(special_classes_lemma,axiom,
~ member(X0,intersection(complement(X1),X1)) ).
cnf(prove_existence_of_null_class_1,negated_conjecture,
member(z,'null$uclass') ).
cnf(regularity1,axiom,
( member(regular(X0),X0)
| X0 = 'null$uclass' ) ).
cnf(c10,plain,
~ member(X0,intersection(complement(X1),X1)),
inference(clausification,[status(esa)],[special_classes_lemma]) ).
cnf(c11,plain,
member(z,'null$uclass'),
inference(clausification,[status(esa)],[prove_existence_of_null_class_1]) ).
cnf(c77,plain,
( member(regular(X0),X0)
| X0 = 'null$uclass' ),
inference(clausification,[status(esa)],[regularity1]) ).
cnf(d0,plain,
intersection(complement(X0),X0) = 'null$uclass',
inference(resolution,[status(thm)],[c77,c10]) ).
cnf(d1,plain,
~ member(X1,'null$uclass'),
inference(demodulation,[status(thm)],[c10,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET061-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.36 % Computer : n006.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sat Sep 26 07:00:58 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.19/2.31 % SZS status Unsatisfiable for theBenchmark.p
% 15.19/2.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------