%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET025-8 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 08:31:40 AM UTC 2026
% Result : Unsatisfiable 17.85s 18.18s
% Output : CNFRefutation 17.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 3 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ordered_pairs_are_small1,axiom,
'little$uset'('ordered$upair'(X0,X1)) ).
cnf(an_ordered_pair_predicate,hypothesis,
'ordered$upair$upredicate'(a) ).
cnf(prove_predicate_is_small,negated_conjecture,
~ 'little$uset'(a) ).
cnf(ordered_pair_predicate3,axiom,
( X0 = 'ordered$upair'(f2(X0),f3(X0))
| ~ 'ordered$upair$upredicate'(X0) ) ).
cnf(c9,plain,
'little$uset'('ordered$upair'(X0,X1)),
inference(clausification,[status(esa)],[ordered_pairs_are_small1]) ).
cnf(c10,plain,
'ordered$upair$upredicate'(a),
inference(clausification,[status(esa)],[an_ordered_pair_predicate]) ).
cnf(c11,plain,
~ 'little$uset'(a),
inference(clausification,[status(esa)],[prove_predicate_is_small]) ).
cnf(c24,plain,
( X0 = 'ordered$upair'(f2(X0),f3(X0))
| ~ 'ordered$upair$upredicate'(X0) ),
inference(clausification,[status(esa)],[ordered_pair_predicate3]) ).
cnf(d0,plain,
a = 'ordered$upair'(f2(a),f3(a)),
inference(resolution,[status(thm)],[c24,c10]) ).
cnf(d1,plain,
'little$uset'(a),
inference(superposition,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c11,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET025-8 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/15.59 % Computer : n001.cluster.edu
% 0.10/15.59 % Model : x86_64 x86_64
% 0.10/15.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.59 % Memory : 8046.5625MB
% 0.10/15.59 % OS : Linux 6.8.0-71-generic
% 0.10/15.59 % CPULimit : 300
% 0.10/15.59 % WCLimit : 300
% 0.10/15.59 % DateTime : Sat Sep 26 07:00:12 UTC 2026
% 0.10/15.59 % CPUTime :
% 0.10/15.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.85/18.18 % SZS status Unsatisfiable for theBenchmark.p
% 17.85/18.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------