%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET064-7 : 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 : n016.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 08:31:51 AM UTC 2026
% Result : Unsatisfiable 21.41s 3.17s
% Output : CNFRefutation 21.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 15 ( 5 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(corollary_of_null_class_is_subclass,axiom,
( X0 = 'null$uclass'
| ~ subclass(X0,'null$uclass') ) ).
cnf(prove_null_class_is_unique_1,negated_conjecture,
z != 'null$uclass' ).
cnf(prove_null_class_is_unique_2,negated_conjecture,
~ member('not$usubclass$uelement'(z,'null$uclass'),z) ).
cnf(not_subclass_members1,axiom,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ) ).
cnf(c13,plain,
( X0 = 'null$uclass'
| ~ subclass(X0,'null$uclass') ),
inference(clausification,[status(esa)],[corollary_of_null_class_is_subclass]) ).
cnf(c14,plain,
z != 'null$uclass',
inference(clausification,[status(esa)],[prove_null_class_is_unique_1]) ).
cnf(c15,plain,
~ member('not$usubclass$uelement'(z,'null$uclass'),z),
inference(clausification,[status(esa)],[prove_null_class_is_unique_2]) ).
cnf(c17,plain,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ),
inference(clausification,[status(esa)],[not_subclass_members1]) ).
cnf(d0,plain,
subclass(z,'null$uclass'),
inference(resolution,[status(thm)],[c17,c15]) ).
cnf(d1,plain,
z = 'null$uclass',
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c14,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET064-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 07:06:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.41/3.17 % SZS status Unsatisfiable for theBenchmark.p
% 21.41/3.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------