%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET016-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:31:36 AM UTC 2026
% Result : Unsatisfiable 31.81s 4.47s
% Output : CNFRefutation 31.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 12 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ordered_pair_determines_components1,axiom,
( X0 = X2
| ~ member(X0,'universal$uclass')
| 'ordered$upair'(X0,X1) != 'ordered$upair'(X2,X3) ) ).
cnf(prove_ordered_pair_determines_components1_1,negated_conjecture,
'ordered$upair'(w,x) = 'ordered$upair'(y,z) ).
cnf(prove_ordered_pair_determines_components1_2,negated_conjecture,
member(w,'universal$uclass') ).
cnf(prove_ordered_pair_determines_components1_3,negated_conjecture,
w != y ).
cnf(c59,plain,
( X0 = X2
| ~ member(X0,'universal$uclass')
| 'ordered$upair'(X0,X1) != 'ordered$upair'(X2,X3) ),
inference(clausification,[status(esa)],[ordered_pair_determines_components1]) ).
cnf(c74,plain,
'ordered$upair'(w,x) = 'ordered$upair'(y,z),
inference(clausification,[status(esa)],[prove_ordered_pair_determines_components1_1]) ).
cnf(c75,plain,
member(w,'universal$uclass'),
inference(clausification,[status(esa)],[prove_ordered_pair_determines_components1_2]) ).
cnf(c76,plain,
w != y,
inference(clausification,[status(esa)],[prove_ordered_pair_determines_components1_3]) ).
cnf(d0,plain,
( ~ member(X0,'universal$uclass')
| X0 = y
| 'ordered$upair'(X0,X1) != 'ordered$upair'(w,x) ),
inference(superposition,[status(thm)],[c74,c59]) ).
cnf(d1,plain,
( ~ member(w,'universal$uclass')
| w = y ),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
w = y,
inference(resolution,[status(thm)],[c75,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c76,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET016-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 06:53:56 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.81/4.47 % SZS status Unsatisfiable for theBenchmark.p
% 31.81/4.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------