%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET117-6 : 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 : n010.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 14.16s 12.21s
% Output : CNFRefutation 14.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 4 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
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(unordered_pairs_in_universal,axiom,
member('unordered$upair'(X0,X1),'universal$uclass') ).
cnf(ordered_pair,axiom,
'unordered$upair'(singleton(X0),'unordered$upair'(X0,singleton(X1))) = 'ordered$upair'(X0,X1) ).
cnf(c0,plain,
'ordered$upair'(first(x),second(x)) = x,
inference(clausification,[status(esa)],[prove_corollary_1_to_ordered_pairs_are_sets_1]) ).
cnf(c1,plain,
~ member(x,'universal$uclass'),
inference(clausification,[status(esa)],[prove_corollary_1_to_ordered_pairs_are_sets_2]) ).
cnf(c12,plain,
member('unordered$upair'(X0,X1),'universal$uclass'),
inference(clausification,[status(esa)],[unordered_pairs_in_universal]) ).
cnf(c14,plain,
'unordered$upair'(singleton(X0),'unordered$upair'(X0,singleton(X1))) = 'ordered$upair'(X0,X1),
inference(clausification,[status(esa)],[ordered_pair]) ).
cnf(d0,plain,
member('ordered$upair'(X0,X1),'universal$uclass'),
inference(superposition,[status(thm)],[c14,c12]) ).
cnf(d1,plain,
member(x,'universal$uclass'),
inference(superposition,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c1,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET117-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n010.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Sat Sep 26 07:10:27 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.16/12.21 % SZS status Unsatisfiable for theBenchmark.p
% 14.16/12.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------