%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET117-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 08:32:06 AM UTC 2026
% Result : Unsatisfiable 19.94s 9.48s
% Output : CNFRefutation 19.94s
% 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ordered_pair_is_set,axiom,
member('ordered$upair'(X0,X1),'universal$uclass') ).
cnf(prove_corollary_1_to_ordered_pairs_are_sets_1,negated_conjecture,
'ordered$upair'(first(x),second(x)) = x ).
cnf(prove_corollary_1_to_ordered_pairs_are_sets_2,negated_conjecture,
~ member(x,'universal$uclass') ).
cnf(c53,plain,
member('ordered$upair'(X0,X1),'universal$uclass'),
inference(clausification,[status(esa)],[ordered_pair_is_set]) ).
cnf(c72,plain,
'ordered$upair'(first(x),second(x)) = x,
inference(clausification,[status(esa)],[prove_corollary_1_to_ordered_pairs_are_sets_1]) ).
cnf(c73,plain,
~ member(x,'universal$uclass'),
inference(clausification,[status(esa)],[prove_corollary_1_to_ordered_pairs_are_sets_2]) ).
cnf(d0,plain,
member(x,'universal$uclass'),
inference(superposition,[status(thm)],[c72,c53]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c73,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET117-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n013.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Sat Sep 26 07:09:29 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.94/9.48 % SZS status Unsatisfiable for theBenchmark.p
% 19.94/9.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------