%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET025-4 : TPTP v9.3.1. Released v1.0.0.
% 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 08:31:40 AM UTC 2026
% Result : Unsatisfiable 15.22s 2.35s
% Output : CNFRefutation 15.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 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 : 10 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ordered_pairs_are_small,negated_conjecture,
~ 'little$uset'('ordered$upair'(a,b)) ).
cnf(non_ordered_pair4,axiom,
'little$uset'('non$uordered$upair'(X0,X1)) ).
cnf(ordered_pair,axiom,
'ordered$upair'(X0,X1) = 'non$uordered$upair'('singleton$uset'(X0),'non$uordered$upair'(X0,X1)) ).
cnf(c0,plain,
~ 'little$uset'('ordered$upair'(a,b)),
inference(clausification,[status(esa)],[prove_ordered_pairs_are_small]) ).
cnf(c8,plain,
'little$uset'('non$uordered$upair'(X0,X1)),
inference(clausification,[status(esa)],[non_ordered_pair4]) ).
cnf(c10,plain,
'ordered$upair'(X0,X1) = 'non$uordered$upair'('singleton$uset'(X0),'non$uordered$upair'(X0,X1)),
inference(clausification,[status(esa)],[ordered_pair]) ).
cnf(d0,plain,
'little$uset'('ordered$upair'(X0,X1)),
inference(superposition,[status(thm)],[c10,c8]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET025-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.02/0.35 % CPULimit : 300
% 0.02/0.35 % WCLimit : 300
% 0.02/0.35 % DateTime : Sat Sep 26 06:54:45 UTC 2026
% 0.02/0.35 % CPUTime :
% 0.02/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.22/2.35 % SZS status Unsatisfiable for theBenchmark.p
% 15.22/2.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------