%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET056-7 : 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 : n015.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 08:31:47 AM UTC 2026
% Result : Unsatisfiable 14.99s 7.22s
% Output : CNFRefutation 14.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 13 RR)
% Number of literals : 22 ( 5 equ; 12 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_equality1_1,negated_conjecture,
x != y ).
cnf(prove_equality1_2,negated_conjecture,
~ member('not$usubclass$uelement'(x,y),x) ).
cnf(prove_equality1_3,negated_conjecture,
~ member('not$usubclass$uelement'(y,x),y) ).
cnf(not_subclass_members1,axiom,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ) ).
cnf(subclass_implies_equal,axiom,
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ) ).
cnf(c6,plain,
x != y,
inference(clausification,[status(esa)],[prove_equality1_1]) ).
cnf(c7,plain,
~ member('not$usubclass$uelement'(x,y),x),
inference(clausification,[status(esa)],[prove_equality1_2]) ).
cnf(c8,plain,
~ member('not$usubclass$uelement'(y,x),y),
inference(clausification,[status(esa)],[prove_equality1_3]) ).
cnf(c10,plain,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ),
inference(clausification,[status(esa)],[not_subclass_members1]) ).
cnf(c15,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)],[c10,c8]) ).
cnf(d1,plain,
( ~ subclass(x,y)
| x = y ),
inference(resolution,[status(thm)],[c15,d0]) ).
cnf(d2,plain,
~ subclass(x,y),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
subclass(x,y),
inference(resolution,[status(thm)],[c10,c7]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET056-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n015.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sat Sep 26 07:03:48 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.99/7.22 % SZS status Unsatisfiable for theBenchmark.p
% 14.99/7.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------