%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET193-6 : 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 : n017.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 08:32:17 AM UTC 2026
% Result : Unsatisfiable 14.77s 15.00s
% Output : CNFRefutation 14.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 12 unt; 6 nHn; 19 RR)
% Number of literals : 44 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_subclass_property10_1,negated_conjecture,
subclass(complement(y),complement(x)) ).
cnf(prove_subclass_property10_2,negated_conjecture,
~ subclass(x,y) ).
cnf(subclass_members,axiom,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ) ).
cnf(not_subclass_members1,axiom,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ) ).
cnf(not_subclass_members2,axiom,
( subclass(X0,X1)
| ~ member('not$usubclass$uelement'(X0,X1),X1) ) ).
cnf(class_elements_are_sets,axiom,
subclass(X0,'universal$uclass') ).
cnf(complement1,axiom,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ) ).
cnf(complement2,axiom,
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,'universal$uclass') ) ).
cnf(c0,plain,
subclass(complement(y),complement(x)),
inference(clausification,[status(esa)],[prove_subclass_property10_1]) ).
cnf(c1,plain,
~ subclass(x,y),
inference(clausification,[status(esa)],[prove_subclass_property10_2]) ).
cnf(c2,plain,
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[subclass_members]) ).
cnf(c3,plain,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ),
inference(clausification,[status(esa)],[not_subclass_members1]) ).
cnf(c4,plain,
( subclass(X0,X1)
| ~ member('not$usubclass$uelement'(X0,X1),X1) ),
inference(clausification,[status(esa)],[not_subclass_members2]) ).
cnf(c5,plain,
subclass(X0,'universal$uclass'),
inference(clausification,[status(esa)],[class_elements_are_sets]) ).
cnf(c25,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(clausification,[status(esa)],[complement1]) ).
cnf(c26,plain,
( member(X0,X1)
| ~ member(X0,'universal$uclass')
| member(X0,complement(X1)) ),
inference(clausification,[status(esa)],[complement2]) ).
cnf(d0,plain,
( ~ member(X0,complement(y))
| member(X0,complement(x)) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
member('not$usubclass$uelement'(x,y),x),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d2,plain,
( ~ member(X0,X1)
| member(X0,'universal$uclass') ),
inference(resolution,[status(thm)],[c2,c5]) ).
cnf(d3,plain,
member('not$usubclass$uelement'(x,y),'universal$uclass'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( member('not$usubclass$uelement'(x,y),complement(X0))
| member('not$usubclass$uelement'(x,y),X0) ),
inference(resolution,[status(thm)],[d3,c26]) ).
cnf(d5,plain,
( subclass(x,y)
| member('not$usubclass$uelement'(x,y),complement(y)) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
member('not$usubclass$uelement'(x,y),complement(y)),
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
member('not$usubclass$uelement'(x,y),complement(x)),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
~ member('not$usubclass$uelement'(x,y),complement(x)),
inference(resolution,[status(thm)],[c25,d1]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET193-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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 07:13:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.77/15.00 % SZS status Unsatisfiable for theBenchmark.p
% 14.77/15.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------