%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM183-1 : 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 08:10:51 AM UTC 2026
% Result : Unsatisfiable 22.19s 21.27s
% Output : CNFRefutation 22.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 13 unt; 5 nHn; 20 RR)
% Number of literals : 45 ( 2 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ordinals_are_kind_1_or_limit_1,negated_conjecture,
member(x,'ordinal$unumbers') ).
cnf(prove_ordinals_are_kind_1_or_limit_2,negated_conjecture,
~ member(x,'kind$u1$uordinals') ).
cnf(prove_ordinals_are_kind_1_or_limit_3,negated_conjecture,
~ member(x,'limit$uordinals') ).
cnf(subclass_members,axiom,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ) ).
cnf(class_elements_are_sets,axiom,
subclass(X0,'universal$uclass') ).
cnf(intersection3,axiom,
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ) ).
cnf(complement2,axiom,
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,'universal$uclass') ) ).
cnf(limit_ordinals,axiom,
intersection(complement('kind$u1$uordinals'),'ordinal$unumbers') = 'limit$uordinals' ).
cnf(c0,plain,
member(x,'ordinal$unumbers'),
inference(clausification,[status(esa)],[prove_ordinals_are_kind_1_or_limit_1]) ).
cnf(c1,plain,
~ member(x,'kind$u1$uordinals'),
inference(clausification,[status(esa)],[prove_ordinals_are_kind_1_or_limit_2]) ).
cnf(c2,plain,
~ member(x,'limit$uordinals'),
inference(clausification,[status(esa)],[prove_ordinals_are_kind_1_or_limit_3]) ).
cnf(c3,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_members]) ).
cnf(c6,plain,
subclass(X0,'universal$uclass'),
inference(clausification,[status(esa)],[class_elements_are_sets]) ).
cnf(c25,plain,
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[intersection3]) ).
cnf(c27,plain,
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[complement2]) ).
cnf(c141,plain,
intersection(complement('kind$u1$uordinals'),'ordinal$unumbers') = 'limit$uordinals',
inference(clausification,[status(esa)],[limit_ordinals]) ).
cnf(d0,plain,
( ~ member(X0,X1)
| member(X0,'universal$uclass') ),
inference(resolution,[status(thm)],[c3,c6]) ).
cnf(d1,plain,
member(x,'universal$uclass'),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ member(X0,'ordinal$unumbers')
| ~ member(X0,complement('kind$u1$uordinals'))
| member(X0,'limit$uordinals') ),
inference(superposition,[status(thm)],[c141,c25]) ).
cnf(d3,plain,
( ~ member(X0,'universal$uclass')
| member(X0,'kind$u1$uordinals')
| member(X0,'limit$uordinals')
| ~ member(X0,'ordinal$unumbers') ),
inference(resolution,[status(thm)],[d2,c27]) ).
cnf(d4,plain,
( member(x,'limit$uordinals')
| member(x,'kind$u1$uordinals')
| ~ member(x,'ordinal$unumbers') ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( member(x,'limit$uordinals')
| member(x,'kind$u1$uordinals') ),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
member(x,'limit$uordinals'),
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c2,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM183-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.42 % Computer : n017.cluster.edu
% 0.16/10.42 % Model : x86_64 x86_64
% 0.16/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.42 % Memory : 8046.5625MB
% 0.16/10.42 % OS : Linux 6.8.0-71-generic
% 0.16/10.42 % CPULimit : 300
% 0.16/10.42 % WCLimit : 300
% 0.16/10.42 % DateTime : Sat Sep 26 02:06:15 UTC 2026
% 0.16/10.43 % CPUTime :
% 0.16/10.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.19/21.27 % SZS status Unsatisfiable for theBenchmark.p
% 22.19/21.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------