%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET113-7 : 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 : 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 26.36s 3.85s
% Output : CNFRefutation 26.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 6 RR)
% Number of literals : 10 ( 5 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_1st_and_2nd_2,axiom,
( first(X0) = X0
| member('ordered$upair'(first(X0),second(X0)),'cross$uproduct'('universal$uclass','universal$uclass')) ) ).
cnf(prove_unique_1st_and_2nd_in_pair_of_non_sets1_1,negated_conjecture,
~ member('ordered$upair'(first(x),second(x)),'cross$uproduct'('universal$uclass','universal$uclass')) ).
cnf(prove_unique_1st_in_pair_of_non_sets,negated_conjecture,
first(x) != x ).
cnf(c62,plain,
( first(X0) = X0
| member('ordered$upair'(first(X0),second(X0)),'cross$uproduct'('universal$uclass','universal$uclass')) ),
inference(clausification,[status(esa)],[existence_of_1st_and_2nd_2]) ).
cnf(c68,plain,
~ member('ordered$upair'(first(x),second(x)),'cross$uproduct'('universal$uclass','universal$uclass')),
inference(clausification,[status(esa)],[prove_unique_1st_and_2nd_in_pair_of_non_sets1_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,
inference(resolution,[status(thm)],[c68,c62]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c69,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET113-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n013.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 07:08:51 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.36/3.85 % SZS status Unsatisfiable for theBenchmark.p
% 26.36/3.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------