%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET113-7 : TPTP v9.0.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:31:35 PM UTC 2025
% Result : Unsatisfiable 0.08s 0.31s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_unique_1st_and_2nd_in_pair_of_non_sets1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(159,plain,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
inference(cnf,[status(esa)],[prove_unique_1st_and_2nd_in_pair_of_non_sets1_1]) ).
cnf(l0,plain,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
inference(instantiation,[status(thm)],[159]) ).
cnf(153,plain,
( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
| first(X0) = X0 ),
inference(cnf,[status(esa)],[existence_of_1st_and_2nd_2]) ).
cnf(l1,plain,
( member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class))
| first(x) = x ),
inference(instantiation,[status(thm)],[153]) ).
cnf(160,plain,
first(x) != x,
inference(cnf,[status(esa)],[prove_unique_1st_in_pair_of_non_sets]) ).
cnf(l4,plain,
first(x) != x,
inference(instantiation,[status(thm)],[160]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET113-7 : TPTP v9.0.0. Bugfixed v7.3.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n021.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 20:00:34 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % launching worker at depth: 1
% 0.08/0.30 % launching worker at depth: 2
% 0.08/0.30 % launching worker at depth: 3
% 0.08/0.30 % launching worker at depth: 4
% 0.08/0.30 % launching worker at depth: 5
% 0.08/0.30 % launching worker at depth: 6
% 0.08/0.30 % launching worker at depth: 7
% 0.08/0.30 % launching worker at depth: 8
% 0.08/0.30 % launching worker at depth: 9
% 0.08/0.31 % SZS status Theorem for theBenchmark
% 0.08/0.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------