%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET071-6 : 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 : n031.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 03:31:24 PM UTC 2025
% Result : Unsatisfiable 236.29s 30.01s
% Output : CNFRefutation 236.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_null_unordered_pair_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
unordered_pair(x,y) != null_class,
inference(cnf,[status(esa)],[prove_null_unordered_pair_1]) ).
cnf(l0,plain,
unordered_pair(x,y) != null_class,
inference(instantiation,[status(thm)],[91]) ).
cnf(69,plain,
( ~ member(X0,universal_class)
| member(apply(choice,X0),X0)
| X0 = null_class ),
inference(cnf,[status(esa)],[choice2]) ).
cnf(l1,plain,
( ~ member(unordered_pair(x,y),universal_class)
| member(apply(choice,unordered_pair(x,y)),unordered_pair(x,y))
| unordered_pair(x,y) = null_class ),
inference(instantiation,[status(thm)],[69]) ).
cnf(10,plain,
member(unordered_pair(X0,X1),universal_class),
inference(cnf,[status(esa)],[unordered_pairs_in_universal]) ).
cnf(l2,plain,
member(unordered_pair(x,y),universal_class),
inference(instantiation,[status(thm)],[10]) ).
cnf(7,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf,[status(esa)],[unordered_pair_member]) ).
cnf(l40,plain,
( ~ member(apply(choice,unordered_pair(x,y)),unordered_pair(x,y))
| apply(choice,unordered_pair(x,y)) = x
| apply(choice,unordered_pair(x,y)) = y ),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l158,plain,
( ~ subclass(unordered_pair(x,apply(choice,unordered_pair(x,y))),universal_class)
| ~ member(y,unordered_pair(x,apply(choice,unordered_pair(x,y))))
| member(y,universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(93,plain,
~ member(y,universal_class),
inference(cnf,[status(esa)],[prove_null_unordered_pair_3]) ).
cnf(l163,plain,
~ member(y,universal_class),
inference(instantiation,[status(thm)],[93]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l161,plain,
subclass(unordered_pair(x,apply(choice,unordered_pair(x,y))),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(l227,plain,
( ~ subclass(unordered_pair(x,y),universal_class)
| ~ member(x,unordered_pair(x,y))
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l234,plain,
subclass(unordered_pair(x,y),universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(92,plain,
~ member(x,universal_class),
inference(cnf,[status(esa)],[prove_null_unordered_pair_2]) ).
cnf(l228,plain,
~ member(x,universal_class),
inference(instantiation,[status(thm)],[92]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l40,l158,l163,l161,l227,l234,l228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET071-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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 19:41:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.18/0.34 % launching worker at depth: 4
% 0.18/0.34 % launching worker at depth: 6
% 0.18/0.34 % launching worker at depth: 7
% 0.18/0.34 % launching worker at depth: 5
% 0.18/0.34 % launching worker at depth: 1
% 0.18/0.34 % launching worker at depth: 2
% 0.18/0.34 % launching worker at depth: 3
% 0.18/0.34 % launching worker at depth: 8
% 0.18/0.34 % launching worker at depth: 9
% 0.18/0.35 % launching worker at depth: 10
% 0.18/0.49 % launching worker at depth: 11
% 16.69/2.43 % launching worker at depth: 12
% 236.29/30.01 % SZS status Theorem for theBenchmark
% 236.29/30.01 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------