%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET093-7 : 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 : n004.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 08:32:00 AM UTC 2026
% Result : Unsatisfiable 15.38s 4.11s
% Output : CNFRefutation 15.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(singletons_are_sets,axiom,
member(singleton(X0),'universal$uclass') ).
cnf(prove_corollary_2_to_singletons_are_sets_1,negated_conjecture,
singleton('member$uof'(x)) = x ).
cnf(prove_corollary_2_to_singletons_are_sets_2,negated_conjecture,
~ member(x,'universal$uclass') ).
cnf(c28,plain,
member(singleton(X0),'universal$uclass'),
inference(clausification,[status(esa)],[singletons_are_sets]) ).
cnf(c45,plain,
singleton('member$uof'(x)) = x,
inference(clausification,[status(esa)],[prove_corollary_2_to_singletons_are_sets_1]) ).
cnf(c46,plain,
~ member(x,'universal$uclass'),
inference(clausification,[status(esa)],[prove_corollary_2_to_singletons_are_sets_2]) ).
cnf(d0,plain,
member(x,'universal$uclass'),
inference(superposition,[status(thm)],[c45,c28]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c46,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET093-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42 % Computer : n004.cluster.edu
% 0.09/0.42 % Model : x86_64 x86_64
% 0.09/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.42 % Memory : 8046.5625MB
% 0.09/0.42 % OS : Linux 6.8.0-71-generic
% 0.09/0.42 % CPULimit : 300
% 0.09/0.42 % WCLimit : 300
% 0.09/0.42 % DateTime : Sat Sep 26 07:05:36 UTC 2026
% 0.09/0.42 % CPUTime :
% 0.09/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.38/4.11 % SZS status Unsatisfiable for theBenchmark.p
% 15.38/4.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------