%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET063-7 : 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 : n005.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 14.49s 2.28s
% Output : CNFRefutation 14.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 10 RR)
% Number of literals : 17 ( 7 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(null_class_is_subclass,axiom,
subclass('null$uclass',X0) ).
cnf(prove_corollary_of_null_class_is_subclass_1,negated_conjecture,
subclass(x,'null$uclass') ).
cnf(prove_corollary_of_null_class_is_subclass_2,negated_conjecture,
x != 'null$uclass' ).
cnf(subclass_implies_equal,axiom,
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ) ).
cnf(c12,plain,
subclass('null$uclass',X0),
inference(clausification,[status(esa)],[null_class_is_subclass]) ).
cnf(c13,plain,
subclass(x,'null$uclass'),
inference(clausification,[status(esa)],[prove_corollary_of_null_class_is_subclass_1]) ).
cnf(c14,plain,
x != 'null$uclass',
inference(clausification,[status(esa)],[prove_corollary_of_null_class_is_subclass_2]) ).
cnf(c21,plain,
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_implies_equal]) ).
cnf(d0,plain,
( ~ subclass('null$uclass',x)
| 'null$uclass' = x ),
inference(resolution,[status(thm)],[c21,c13]) ).
cnf(d1,plain,
'null$uclass' = x,
inference(resolution,[status(thm)],[c12,d0]) ).
cnf(d2,plain,
'null$uclass' != 'null$uclass',
inference(demodulation,[status(thm)],[c14,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET063-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 07:01:33 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.49/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 14.49/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------