%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET479-6 : 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 : n013.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 08:32:40 AM UTC 2026
% Result : Unsatisfiable 29.60s 4.29s
% Output : CNFRefutation 29.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 8 unt; 0 nHn; 17 RR)
% Number of literals : 28 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_replacement_property1_1,negated_conjecture,
member(x,'universal$uclass') ).
cnf(prove_replacement_property1_2,negated_conjecture,
~ member('domain$uof'(x),'universal$uclass') ).
cnf(subclass_members,axiom,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ) ).
cnf(cartesian_product2,axiom,
( member(X1,X3)
| ~ member('ordered$upair'(X0,X1),'cross$uproduct'(X2,X3)) ) ).
cnf(definition_of_domain_relation1,axiom,
subclass('domain$urelation','cross$uproduct'('universal$uclass','universal$uclass')) ).
cnf(definition_of_domain_relation3,axiom,
( member('ordered$upair'(X0,'domain$uof'(X0)),'domain$urelation')
| ~ member(X0,'universal$uclass') ) ).
cnf(c0,plain,
member(x,'universal$uclass'),
inference(clausification,[status(esa)],[prove_replacement_property1_1]) ).
cnf(c1,plain,
~ member('domain$uof'(x),'universal$uclass'),
inference(clausification,[status(esa)],[prove_replacement_property1_2]) ).
cnf(c2,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_members]) ).
cnf(c16,plain,
( member(X1,X3)
| ~ member('ordered$upair'(X0,X1),'cross$uproduct'(X2,X3)) ),
inference(clausification,[status(esa)],[cartesian_product2]) ).
cnf(c99,plain,
subclass('domain$urelation','cross$uproduct'('universal$uclass','universal$uclass')),
inference(clausification,[status(esa)],[definition_of_domain_relation1]) ).
cnf(c101,plain,
( member('ordered$upair'(X0,'domain$uof'(X0)),'domain$urelation')
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[definition_of_domain_relation3]) ).
cnf(d0,plain,
( ~ member(X0,'domain$urelation')
| member(X0,'cross$uproduct'('universal$uclass','universal$uclass')) ),
inference(resolution,[status(thm)],[c99,c2]) ).
cnf(d1,plain,
( member(X1,'universal$uclass')
| ~ member('ordered$upair'(X0,X1),'domain$urelation') ),
inference(resolution,[status(thm)],[d0,c16]) ).
cnf(d2,plain,
( ~ member(X0,'universal$uclass')
| member('domain$uof'(X0),'universal$uclass') ),
inference(resolution,[status(thm)],[d1,c101]) ).
cnf(d3,plain,
~ member(x,'universal$uclass'),
inference(resolution,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c0,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 07:47:06 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.60/4.29 % SZS status Unsatisfiable for theBenchmark.p
% 29.60/4.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------