%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET059-6 : 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 : n002.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 08:31:48 AM UTC 2026
% Result : Unsatisfiable 14.89s 2.43s
% Output : CNFRefutation 14.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 15 RR)
% Number of literals : 22 ( 5 equ; 10 neg)
% Maximal clause size : 3 ( 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 : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_equality4_1,negated_conjecture,
member('not$usubclass$uelement'(x,y),y) ).
cnf(prove_equality4_2,negated_conjecture,
member('not$usubclass$uelement'(y,x),x) ).
cnf(prove_equality4_3,negated_conjecture,
x != y ).
cnf(not_subclass_members2,axiom,
( subclass(X0,X1)
| ~ member('not$usubclass$uelement'(X0,X1),X1) ) ).
cnf(subclass_implies_equal,axiom,
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ) ).
cnf(c0,plain,
member('not$usubclass$uelement'(x,y),y),
inference(clausification,[status(esa)],[prove_equality4_1]) ).
cnf(c1,plain,
member('not$usubclass$uelement'(y,x),x),
inference(clausification,[status(esa)],[prove_equality4_2]) ).
cnf(c2,plain,
x != y,
inference(clausification,[status(esa)],[prove_equality4_3]) ).
cnf(c5,plain,
( subclass(X0,X1)
| ~ member('not$usubclass$uelement'(X0,X1),X1) ),
inference(clausification,[status(esa)],[not_subclass_members2]) ).
cnf(c9,plain,
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_implies_equal]) ).
cnf(d0,plain,
subclass(y,x),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(d1,plain,
( ~ subclass(x,y)
| x = y ),
inference(resolution,[status(thm)],[c9,d0]) ).
cnf(d2,plain,
~ subclass(x,y),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
subclass(x,y),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET059-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n002.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 07:03:23 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.89/2.43 % SZS status Unsatisfiable for theBenchmark.p
% 14.89/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------