%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET101-7 : 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 : 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 03:31:32 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_singleton_member_of_ordered_pair_1)
% Comments :
%------------------------------------------------------------------------------
cnf(145,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)],[145]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l1,plain,
( ~ subclass(unordered_pair(unordered_pair(x,singleton(y)),singleton(x)),ordered_pair(x,y))
| ~ member(singleton(x),unordered_pair(unordered_pair(x,singleton(y)),singleton(x)))
| member(singleton(x),ordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(120,plain,
member(singleton(X0),unordered_pair(X1,singleton(X0))),
inference(cnf,[status(esa)],[corollary_1_to_singletons_are_sets]) ).
cnf(l6,plain,
member(singleton(x),unordered_pair(unordered_pair(x,singleton(y)),singleton(x))),
inference(instantiation,[status(thm)],[120]) ).
cnf(95,plain,
subclass(X0,X0),
inference(cnf,[status(esa)],[subclass_is_reflexive]) ).
cnf(l4,plain,
subclass(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),unordered_pair(singleton(x),unordered_pair(x,singleton(y)))),
inference(instantiation,[status(thm)],[95]) ).
cnf(12,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
inference(cnf,[status(esa)],[ordered_pair]) ).
cnf(l5,plain,
unordered_pair(singleton(x),unordered_pair(x,singleton(y))) = ordered_pair(x,y),
inference(instantiation,[status(thm)],[12]) ).
cnf(107,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_unordered_pair]) ).
cnf(l3,plain,
unordered_pair(singleton(x),unordered_pair(x,singleton(y))) = unordered_pair(unordered_pair(x,singleton(y)),singleton(x)),
inference(instantiation,[status(thm)],[107]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l4,l5,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET101-7 : 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
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 19:55:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.40 % SZS status Theorem for theBenchmark
% 0.19/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------