%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET120-7 : TPTP v9.0.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:31:37 PM UTC 2025
% Result : Unsatisfiable 85.52s 11.09s
% Output : CNFRefutation 85.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_corollary_2_to_OP_determines_components1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(165,plain,
~ member(x,universal_class),
inference(cnf,[status(esa)],[prove_corollary_2_to_OP_determines_components1_1]) ).
cnf(l0,plain,
~ member(x,universal_class),
inference(instantiation,[status(thm)],[165]) ).
cnf(93,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,universal_class) ),
inference(cnf,[status(esa)],[corollary_1_to_cartesian_product]) ).
cnf(l1,plain,
( ~ member(ordered_pair(x,y),cross_product(universal_class,universal_class))
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[93]) ).
cnf(154,plain,
( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(cnf,[status(esa)],[existence_of_1st_and_2nd_3]) ).
cnf(l16,plain,
( member(ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))),cross_product(universal_class,universal_class))
| second(ordered_pair(x,y)) = ordered_pair(x,y) ),
inference(instantiation,[status(thm)],[154]) ).
cnf(166,plain,
second(ordered_pair(x,y)) != ordered_pair(x,y),
inference(cnf,[status(esa)],[prove_corollary_2_to_OP_determines_components1_2]) ).
cnf(l18,plain,
second(ordered_pair(x,y)) != ordered_pair(x,y),
inference(instantiation,[status(thm)],[166]) ).
cnf(162,plain,
( second(X0) = X0
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(cnf,[status(esa)],[unique_1st_and_2nd_in_pair_of_non_sets4]) ).
cnf(l44,plain,
( second(ordered_pair(x,y)) = ordered_pair(x,y)
| ordered_pair(first(ordered_pair(x,y)),second(ordered_pair(x,y))) = ordered_pair(x,y) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(l45,plain,
second(ordered_pair(x,y)) != ordered_pair(x,y),
inference(instantiation,[status(thm)],[166]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l16,l18,l44,l45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET120-7 : TPTP v9.0.0. Bugfixed v7.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 20:03:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 5.96/1.09 % launching worker at depth: 11
% 85.52/11.09 % SZS status Theorem for theBenchmark
% 85.52/11.09 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------