%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET073-7 : 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 : n020.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 08:31:54 AM UTC 2026
% Result : Unsatisfiable 15.84s 2.35s
% Output : CNFRefutation 15.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 2 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_null_class,axiom,
~ member(X0,'null$uclass') ).
cnf(prove_corollary_to_unordered_pair_axiom1_1,negated_conjecture,
member(x,'universal$uclass') ).
cnf(prove_corollary_to_unordered_pair_axiom1_2,negated_conjecture,
'unordered$upair'(x,y) = 'null$uclass' ).
cnf(unordered_pair2,axiom,
( member(X0,'unordered$upair'(X0,X1))
| ~ member(X0,'universal$uclass') ) ).
cnf(c11,plain,
~ member(X0,'null$uclass'),
inference(clausification,[status(esa)],[existence_of_null_class]) ).
cnf(c24,plain,
member(x,'universal$uclass'),
inference(clausification,[status(esa)],[prove_corollary_to_unordered_pair_axiom1_1]) ).
cnf(c25,plain,
'unordered$upair'(x,y) = 'null$uclass',
inference(clausification,[status(esa)],[prove_corollary_to_unordered_pair_axiom1_2]) ).
cnf(c34,plain,
( member(X0,'unordered$upair'(X0,X1))
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[unordered_pair2]) ).
cnf(d0,plain,
( ~ member(x,'universal$uclass')
| member(x,'null$uclass') ),
inference(superposition,[status(thm)],[c25,c34]) ).
cnf(d1,plain,
~ member(x,'universal$uclass'),
inference(resolution,[status(thm)],[c11,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c24,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET073-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 07:04:33 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.84/2.35 % SZS status Unsatisfiable for theBenchmark.p
% 15.84/2.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------