%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET085-6 : 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 : n027.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 03:31:28 PM UTC 2025
% Result : Unsatisfiable 78.17s 10.16s
% Output : CNFRefutation 78.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_singleton_in_unordered_pair3_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
unordered_pair(y,z) = singleton(x),
inference(cnf,[status(esa)],[prove_singleton_in_unordered_pair3_1]) ).
cnf(l0,plain,
unordered_pair(y,z) = singleton(x),
inference(instantiation,[status(thm)],[91]) ).
cnf(2,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[not_subclass_members2]) ).
cnf(l267,plain,
( ~ member(not_subclass_element(singleton(x),singleton(x)),singleton(x))
| subclass(singleton(x),singleton(x)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l295,plain,
( ~ subclass(unordered_pair(x,x),unordered_pair(y,z))
| ~ member(x,unordered_pair(x,x))
| member(x,unordered_pair(y,z)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf,[status(esa)],[not_subclass_members1]) ).
cnf(l284,plain,
( subclass(singleton(x),singleton(x))
| member(not_subclass_element(singleton(x),singleton(x)),singleton(x)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[subclass_implies_equal]) ).
cnf(l93,plain,
( ~ subclass(singleton(x),unordered_pair(x,x))
| ~ subclass(unordered_pair(x,x),singleton(x))
| singleton(x) = unordered_pair(x,x) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
( X0 != X1
| subclass(X0,X1) ),
inference(cnf,[status(esa)],[equal_implies_subclass1]) ).
cnf(l107,plain,
( unordered_pair(x,x) != singleton(x)
| subclass(unordered_pair(x,x),singleton(x)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
( X0 != X1
| subclass(X1,X0) ),
inference(cnf,[status(esa)],[equal_implies_subclass2]) ).
cnf(l94,plain,
( unordered_pair(x,x) != singleton(x)
| subclass(singleton(x),unordered_pair(x,x)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(11,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf,[status(esa)],[singleton_set]) ).
cnf(l97,plain,
unordered_pair(x,x) = singleton(x),
inference(instantiation,[status(thm)],[11]) ).
cnf(8,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf,[status(esa)],[unordered_pair2]) ).
cnf(l298,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(x,x)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l108,plain,
unordered_pair(x,x) = singleton(x),
inference(instantiation,[status(thm)],[11]) ).
cnf(7,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf,[status(esa)],[unordered_pair_member]) ).
cnf(l317,plain,
( ~ member(x,unordered_pair(y,z))
| x = y
| x = z ),
inference(instantiation,[status(thm)],[7]) ).
cnf(94,plain,
x != z,
inference(cnf,[status(esa)],[prove_singleton_in_unordered_pair3_4]) ).
cnf(l319,plain,
x != z,
inference(instantiation,[status(thm)],[94]) ).
cnf(93,plain,
x != y,
inference(cnf,[status(esa)],[prove_singleton_in_unordered_pair3_3]) ).
cnf(l318,plain,
x != y,
inference(instantiation,[status(thm)],[93]) ).
cnf(92,plain,
member(x,universal_class),
inference(cnf,[status(esa)],[prove_singleton_in_unordered_pair3_2]) ).
cnf(l303,plain,
member(x,universal_class),
inference(instantiation,[status(thm)],[92]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l267,l295,l284,l93,l107,l94,l97,l298,l108,l317,l319,l318,l303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET085-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Jul 21 19:46:19 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.20/0.39 % launching worker at depth: 10
% 4.14/0.86 % launching worker at depth: 11
% 78.17/10.16 % SZS status Theorem for theBenchmark
% 78.17/10.16 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------