%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET150-6 : 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 : 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 03:31:40 PM UTC 2025
% Result : Unsatisfiable 14.41s 2.21s
% Output : CNFRefutation 14.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_complement_is_self_cancelling_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
complement(complement(x)) != x,
inference(cnf,[status(esa)],[prove_complement_is_self_cancelling_1]) ).
cnf(l0,plain,
complement(complement(x)) != x,
inference(instantiation,[status(thm)],[112]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l1,plain,
( ~ subclass(complement(complement(x)),x)
| ~ subclass(x,complement(complement(x)))
| complement(complement(x)) = x ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l74,plain,
( ~ member(not_subclass_element(x,complement(complement(x))),complement(complement(x)))
| subclass(x,complement(complement(x))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l2,plain,
( subclass(complement(complement(x)),x)
| member(not_subclass_element(complement(complement(x)),x),complement(complement(x))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(24,plain,
( ~ member(X0,universal_class)
| member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement2]) ).
cnf(l75,plain,
( ~ member(not_subclass_element(x,complement(complement(x))),universal_class)
| member(not_subclass_element(x,complement(complement(x))),complement(x))
| member(not_subclass_element(x,complement(complement(x))),complement(complement(x))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l76,plain,
( ~ member(not_subclass_element(x,complement(complement(x))),x)
| ~ member(not_subclass_element(x,complement(complement(x))),complement(x)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l96,plain,
( subclass(x,complement(complement(x)))
| member(not_subclass_element(x,complement(complement(x))),x) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l78,plain,
( ~ subclass(x,universal_class)
| ~ member(not_subclass_element(x,complement(complement(x))),x)
| member(not_subclass_element(x,complement(complement(x))),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l80,plain,
subclass(x,universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l25,plain,
( ~ subclass(complement(complement(x)),universal_class)
| ~ member(not_subclass_element(complement(complement(x)),x),complement(complement(x)))
| member(not_subclass_element(complement(complement(x)),x),universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l79,plain,
( subclass(x,complement(complement(x)))
| member(not_subclass_element(x,complement(complement(x))),x) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l27,plain,
subclass(complement(complement(x)),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l52,plain,
( ~ member(not_subclass_element(complement(complement(x)),x),universal_class)
| member(not_subclass_element(complement(complement(x)),x),x)
| member(not_subclass_element(complement(complement(x)),x),complement(x)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l69,plain,
( ~ member(not_subclass_element(complement(complement(x)),x),complement(x))
| ~ member(not_subclass_element(complement(complement(x)),x),complement(complement(x))) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l68,plain,
( ~ member(not_subclass_element(complement(complement(x)),x),x)
| subclass(complement(complement(x)),x) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l74,l2,l75,l76,l96,l78,l80,l25,l79,l27,l52,l69,l68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET150-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 20:12:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 9
% 0.19/0.34 % launching worker at depth: 10
% 0.19/0.37 % launching worker at depth: 11
% 2.03/0.59 % launching worker at depth: 12
% 14.41/2.21 % SZS status Theorem for theBenchmark
% 14.41/2.21 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------