%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET018-7 : 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 08:31:37 AM UTC 2026
% Result : Unsatisfiable 33.77s 4.83s
% Output : CNFRefutation 33.77s
% 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_components2,axiom,
( X1 = X3
| ~ member(X1,'universal$uclass')
| 'ordered$upair'(X0,X1) != 'ordered$upair'(X2,X3) ) ).
cnf(prove_ordered_pair_determines_components2_1,negated_conjecture,
'ordered$upair'(w,x) = 'ordered$upair'(y,z) ).
cnf(prove_ordered_pair_determines_components2_2,negated_conjecture,
member(x,'universal$uclass') ).
cnf(prove_ordered_pair_determines_components2_3,negated_conjecture,
x != z ).
cnf(c60,plain,
( X1 = X3
| ~ member(X1,'universal$uclass')
| 'ordered$upair'(X0,X1) != 'ordered$upair'(X2,X3) ),
inference(clausification,[status(esa)],[ordered_pair_determines_components2]) ).
cnf(c76,plain,
'ordered$upair'(w,x) = 'ordered$upair'(y,z),
inference(clausification,[status(esa)],[prove_ordered_pair_determines_components2_1]) ).
cnf(c77,plain,
member(x,'universal$uclass'),
inference(clausification,[status(esa)],[prove_ordered_pair_determines_components2_2]) ).
cnf(c78,plain,
x != z,
inference(clausification,[status(esa)],[prove_ordered_pair_determines_components2_3]) ).
cnf(d0,plain,
( ~ member(X1,'universal$uclass')
| X1 = z
| 'ordered$upair'(X0,X1) != 'ordered$upair'(w,x) ),
inference(superposition,[status(thm)],[c76,c60]) ).
cnf(d1,plain,
( ~ member(x,'universal$uclass')
| x = z ),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
x = z,
inference(resolution,[status(thm)],[c77,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c78,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET018-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 06:54:25 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.77/4.83 % SZS status Unsatisfiable for theBenchmark.p
% 33.77/4.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------