%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET027-6 : 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 : 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 08:31:41 AM UTC 2026
% Result : Unsatisfiable 41.18s 6.33s
% Output : CNFRefutation 41.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 11 unt; 2 nHn; 17 RR)
% Number of literals : 29 ( 0 equ; 10 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_transitivity_of_subclass_1,negated_conjecture,
subclass(x,y) ).
cnf(prove_transitivity_of_subclass_2,negated_conjecture,
subclass(y,z) ).
cnf(prove_transitivity_of_subclass_3,negated_conjecture,
~ subclass(x,z) ).
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(c0,plain,
subclass(x,y),
inference(clausification,[status(esa)],[prove_transitivity_of_subclass_1]) ).
cnf(c1,plain,
subclass(y,z),
inference(clausification,[status(esa)],[prove_transitivity_of_subclass_2]) ).
cnf(c2,plain,
~ subclass(x,z),
inference(clausification,[status(esa)],[prove_transitivity_of_subclass_3]) ).
cnf(c3,plain,
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[subclass_members]) ).
cnf(c4,plain,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ),
inference(clausification,[status(esa)],[not_subclass_members1]) ).
cnf(c5,plain,
( subclass(X0,X1)
| ~ member('not$usubclass$uelement'(X0,X1),X1) ),
inference(clausification,[status(esa)],[not_subclass_members2]) ).
cnf(d0,plain,
member('not$usubclass$uelement'(x,z),x),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
( ~ member(X0,x)
| member(X0,y) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d2,plain,
member('not$usubclass$uelement'(x,z),y),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ member(X0,y)
| member(X0,z) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d4,plain,
member('not$usubclass$uelement'(x,z),z),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
subclass(x,z),
inference(resolution,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c2,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET027-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n005.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 06:54:32 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 41.18/6.33 % SZS status Unsatisfiable for theBenchmark.p
% 41.18/6.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------