%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET061-6 : 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 : n012.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 22.43s 8.25s
% Output : CNFRefutation 22.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 7 unt; 4 nHn; 13 RR)
% Number of literals : 31 ( 6 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 19 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_existence_of_null_class_1,negated_conjecture,
member(z,'null$uclass') ).
cnf(subclass_members,axiom,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ) ).
cnf(class_elements_are_sets,axiom,
subclass(X0,'universal$uclass') ).
cnf(complement1,axiom,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ) ).
cnf(regularity1,axiom,
( member(regular(X0),X0)
| X0 = 'null$uclass' ) ).
cnf(c0,plain,
member(z,'null$uclass'),
inference(clausification,[status(esa)],[prove_existence_of_null_class_1]) ).
cnf(c1,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_members]) ).
cnf(c4,plain,
subclass(X0,'universal$uclass'),
inference(clausification,[status(esa)],[class_elements_are_sets]) ).
cnf(c24,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(clausification,[status(esa)],[complement1]) ).
cnf(c66,plain,
( member(regular(X0),X0)
| X0 = 'null$uclass' ),
inference(clausification,[status(esa)],[regularity1]) ).
cnf(d0,plain,
( ~ member(X0,X1)
| member(X0,'universal$uclass') ),
inference(resolution,[status(thm)],[c1,c4]) ).
cnf(d1,plain,
member(z,'universal$uclass'),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( member(regular(X0),'universal$uclass')
| X0 = 'null$uclass' ),
inference(resolution,[status(thm)],[c66,d0]) ).
cnf(d3,plain,
( complement(X0) = 'null$uclass'
| ~ member(regular(complement(X0)),X0) ),
inference(resolution,[status(thm)],[c24,c66]) ).
cnf(d4,plain,
( complement('universal$uclass') = 'null$uclass'
| complement('universal$uclass') = 'null$uclass' ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ member(X0,'universal$uclass')
| ~ member(X0,'null$uclass') ),
inference(superposition,[status(thm)],[d4,c24]) ).
cnf(d6,plain,
~ member(z,'null$uclass'),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c0,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET061-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/5.32 % Computer : n012.cluster.edu
% 0.05/5.32 % Model : x86_64 x86_64
% 0.05/5.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/5.32 % Memory : 8046.5625MB
% 0.05/5.32 % OS : Linux 6.8.0-71-generic
% 0.05/5.32 % CPULimit : 300
% 0.05/5.32 % WCLimit : 300
% 0.05/5.32 % DateTime : Sat Sep 26 07:01:13 UTC 2026
% 0.05/5.33 % CPUTime :
% 0.05/5.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.43/8.25 % SZS status Unsatisfiable for theBenchmark.p
% 22.43/8.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------