%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET102-7 : 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 : n028.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 03:31:33 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_unordered_pair_member_of_ordered_pair_1)
% Comments :
%------------------------------------------------------------------------------
cnf(145,plain,
~ member(unordered_pair(x,singleton(y)),ordered_pair(x,y)),
inference(cnf,[status(esa)],[prove_unordered_pair_member_of_ordered_pair_1]) ).
cnf(l0,plain,
~ member(unordered_pair(x,singleton(y)),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(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y))
| ~ member(unordered_pair(x,singleton(y)),unordered_pair(singleton(x),unordered_pair(x,singleton(y))))
| member(unordered_pair(x,singleton(y)),ordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( X0 != X1
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[equal_implies_subclass1]) ).
cnf(l2,plain,
( unordered_pair(singleton(x),unordered_pair(x,singleton(y))) != ordered_pair(x,y)
| subclass(unordered_pair(singleton(x),unordered_pair(x,singleton(y))),ordered_pair(x,y)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(12,plain,
unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
inference(cnf,[status(esa)],[ordered_pair]) ).
cnf(l3,plain,
unordered_pair(singleton(x),unordered_pair(x,singleton(y))) = ordered_pair(x,y),
inference(instantiation,[status(thm)],[12]) ).
cnf(9,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X0)) ),
inference(cnf,[status(esa)],[unordered_pair3]) ).
cnf(l6,plain,
( ~ member(unordered_pair(x,singleton(y)),universal_class)
| member(unordered_pair(x,singleton(y)),unordered_pair(singleton(x),unordered_pair(x,singleton(y)))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(10,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf,[status(esa)],[unordered_pairs_in_universal]) ).
cnf(l8,plain,
member(unordered_pair(x,singleton(y)),universal_class),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET102-7 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 19:55:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 7
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 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: 9
% 0.19/0.36 % 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
%------------------------------------------------------------------------------