%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET168-6 : 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 : n026.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 08:32:13 AM UTC 2026
% Result : Unsatisfiable 15.07s 4.14s
% Output : CNFRefutation 15.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 12 unt; 4 nHn; 16 RR)
% Number of literals : 42 ( 2 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_members_of_union3_1,negated_conjecture,
member(x,z) ).
cnf(prove_members_of_union3_2,negated_conjecture,
~ member(x,union(y,z)) ).
cnf(subclass_members,axiom,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ) ).
cnf(class_elements_are_sets,axiom,
subclass(X0,'universal$uclass') ).
cnf(intersection2,axiom,
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ) ).
cnf(complement1,axiom,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ) ).
cnf(complement2,axiom,
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,'universal$uclass') ) ).
cnf(union,axiom,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1) ).
cnf(c0,plain,
member(x,z),
inference(clausification,[status(esa)],[prove_members_of_union3_1]) ).
cnf(c1,plain,
~ member(x,union(y,z)),
inference(clausification,[status(esa)],[prove_members_of_union3_2]) ).
cnf(c2,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_members]) ).
cnf(c5,plain,
subclass(X0,'universal$uclass'),
inference(clausification,[status(esa)],[class_elements_are_sets]) ).
cnf(c23,plain,
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(clausification,[status(esa)],[intersection2]) ).
cnf(c25,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(clausification,[status(esa)],[complement1]) ).
cnf(c26,plain,
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[complement2]) ).
cnf(c27,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(clausification,[status(esa)],[union]) ).
cnf(d0,plain,
( ~ member(X2,'universal$uclass')
| member(X2,intersection(complement(X0),complement(X1)))
| member(X2,union(X0,X1)) ),
inference(superposition,[status(thm)],[c27,c26]) ).
cnf(d1,plain,
( member(X0,complement(X2))
| ~ member(X0,'universal$uclass')
| member(X0,union(X1,X2)) ),
inference(resolution,[status(thm)],[d0,c23]) ).
cnf(d2,plain,
( member(x,complement(z))
| ~ member(x,'universal$uclass') ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ member(X0,X1)
| member(X0,'universal$uclass') ),
inference(resolution,[status(thm)],[c2,c5]) ).
cnf(d4,plain,
member(x,'universal$uclass'),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
member(x,complement(z)),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
~ member(x,z),
inference(resolution,[status(thm)],[d5,c25]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c0,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET168-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n026.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 26 07:18:25 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.07/4.14 % SZS status Unsatisfiable for theBenchmark.p
% 15.07/4.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------