%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET020-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 03:31:09 PM UTC 2025
% Result : Unsatisfiable 17.37s 2.58s
% Output : CNFRefutation 17.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_unique_1st_and_2nd_in_pair_of_sets1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(157,plain,
member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
inference(cnf,[status(esa)],[prove_unique_1st_and_2nd_in_pair_of_sets1_1]) ).
cnf(l0,plain,
member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
inference(instantiation,[status(thm)],[157]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l41,plain,
( ~ subclass(ordered_pair(u,v),ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))))
| ~ subclass(ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))),ordered_pair(u,v))
| ordered_pair(u,v) = ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(16,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(cnf,[status(esa)],[cartesian_product4]) ).
cnf(l44,plain,
( ~ member(ordered_pair(u,v),cross_product(universal_class,universal_class))
| ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))) = ordered_pair(u,v) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(95,plain,
subclass(X0,X0),
inference(cnf,[status(esa)],[subclass_is_reflexive]) ).
cnf(l48,plain,
subclass(ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))),ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v)))),
inference(instantiation,[status(thm)],[95]) ).
cnf(l57,plain,
( ~ member(ordered_pair(u,v),cross_product(universal_class,universal_class))
| ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))) = ordered_pair(u,v) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(13,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(cnf,[status(esa)],[cartesian_product1]) ).
cnf(l40,plain,
( ~ member(ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))),cross_product(universal_class,universal_class))
| member(first(ordered_pair(u,v)),universal_class) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l61,plain,
subclass(ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))),ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v)))),
inference(instantiation,[status(thm)],[95]) ).
cnf(150,plain,
( ~ member(X0,universal_class)
| ordered_pair(X0,X1) != ordered_pair(X2,X3)
| X0 = X2 ),
inference(cnf,[status(esa)],[ordered_pair_determines_components1]) ).
cnf(l42,plain,
( ~ member(first(ordered_pair(u,v)),universal_class)
| ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))) != ordered_pair(u,v)
| first(ordered_pair(u,v)) = u ),
inference(instantiation,[status(thm)],[150]) ).
cnf(158,plain,
first(ordered_pair(u,v)) != u,
inference(cnf,[status(esa)],[prove_unique_1st_and_2nd_in_pair_of_sets1_2]) ).
cnf(l53,plain,
first(ordered_pair(u,v)) != u,
inference(instantiation,[status(thm)],[158]) ).
cnf(l52,plain,
( ~ member(ordered_pair(u,v),cross_product(universal_class,universal_class))
| ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v))) = ordered_pair(u,v) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l41,l44,l48,l57,l40,l61,l42,l53,l52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET020-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.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 19:20:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 4.77/1.00 % launching worker at depth: 11
% 17.37/2.58 % SZS status Theorem for theBenchmark
% 17.37/2.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------