%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET115-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 08:32:05 AM UTC 2026
% Result : Unsatisfiable 13.20s 4.42s
% Output : CNFRefutation 13.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 2 nHn; 7 RR)
% Number of literals : 12 ( 11 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_1st_and_2nd_4,axiom,
( first(X0) = X0
| 'ordered$upair'(first(X0),second(X0)) = X0 ) ).
cnf(prove_unique_1st_and_2nd_in_pair_of_non_sets3_1,negated_conjecture,
'ordered$upair'(first(x),second(x)) != x ).
cnf(prove_unique_1st_in_pair_of_non_sets,negated_conjecture,
first(x) != x ).
cnf(c64,plain,
( first(X0) = X0
| 'ordered$upair'(first(X0),second(X0)) = X0 ),
inference(clausification,[status(esa)],[existence_of_1st_and_2nd_4]) ).
cnf(c68,plain,
'ordered$upair'(first(x),second(x)) != x,
inference(clausification,[status(esa)],[prove_unique_1st_and_2nd_in_pair_of_non_sets3_1]) ).
cnf(c69,plain,
first(x) != x,
inference(clausification,[status(esa)],[prove_unique_1st_in_pair_of_non_sets]) ).
cnf(d0,plain,
( first(x) = x
| x != x ),
inference(superposition,[status(thm)],[c64,c68]) ).
cnf(d1,plain,
x != x,
inference(resolution,[status(thm)],[c69,d0]) ).
cnf(d2,plain,
$false,
inference(equality_resolution,[status(thm)],[d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET115-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 07:09:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.20/4.42 % SZS status Unsatisfiable for theBenchmark.p
% 13.20/4.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------