%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET101-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:31:32 PM UTC 2025
% Result : Unsatisfiable 1.63s 0.58s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_singleton_member_of_ordered_pair_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
~ member(singleton(x),ordered_pair(x,y)),
inference(cnf,[status(esa)],[prove_singleton_member_of_ordered_pair_1]) ).
cnf(l0,plain,
~ member(singleton(x),ordered_pair(x,y)),
inference(instantiation,[status(thm)],[91]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l1,plain,
( ~ subclass(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y))
| ~ member(singleton(x),unordered_pair(singleton(x),unordered_pair(x,singleton(y))))
| member(singleton(x),ordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf,[status(esa)],[unordered_pair2]) ).
cnf(l16,plain,
( ~ member(singleton(x),universal_class)
| member(singleton(x),unordered_pair(singleton(x),unordered_pair(x,singleton(y)))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(10,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf,[status(esa)],[unordered_pairs_in_universal]) ).
cnf(l19,plain,
member(unordered_pair(x,x),universal_class),
inference(instantiation,[status(thm)],[10]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l7,plain,
( ~ member(not_subclass_element(ordered_pair(x,y),ordered_pair(x,y)),ordered_pair(x,y))
| subclass(ordered_pair(x,y),ordered_pair(x,y)) ),
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(l9,plain,
( subclass(ordered_pair(x,y),ordered_pair(x,y))
| member(not_subclass_element(ordered_pair(x,y),ordered_pair(x,y)),ordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(11,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf,[status(esa)],[singleton_set]) ).
cnf(l18,plain,
unordered_pair(x,x) = singleton(x),
inference(instantiation,[status(thm)],[11]) ).
cnf(12,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
inference(cnf,[status(esa)],[ordered_pair]) ).
cnf(l4,plain,
unordered_pair(singleton(x),unordered_pair(x,singleton(y))) = ordered_pair(x,y),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l16,l19,l7,l9,l18,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET101-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 19:54:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 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: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.19/0.42 % launching worker at depth: 11
% 1.63/0.58 % SZS status Theorem for theBenchmark
% 1.63/0.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------