%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET083-6 : 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 : 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 59.54s 7.82s
% Output : CNFRefutation 59.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_singleton_identified_by_element1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
singleton(x) = singleton(y),
inference(cnf,[status(esa)],[prove_singleton_identified_by_element1_1]) ).
cnf(l0,plain,
singleton(x) = singleton(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(l3,plain,
( ~ subclass(singleton(y),unordered_pair(y,y))
| ~ member(x,singleton(y))
| member(x,unordered_pair(y,y)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( X0 != X1
| subclass(X1,X0) ),
inference(cnf,[status(esa)],[equal_implies_subclass2]) ).
cnf(l6,plain,
( unordered_pair(y,y) != singleton(y)
| subclass(singleton(y),unordered_pair(y,y)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(cnf,[status(esa)],[unordered_pair2]) ).
cnf(l57,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(x,x)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(11,plain,
unordered_pair(X0,X0) = singleton(X0),
inference(cnf,[status(esa)],[singleton_set]) ).
cnf(l17,plain,
unordered_pair(y,y) = singleton(y),
inference(instantiation,[status(thm)],[11]) ).
cnf(92,plain,
member(x,universal_class),
inference(cnf,[status(esa)],[prove_singleton_identified_by_element1_2]) ).
cnf(l61,plain,
member(x,universal_class),
inference(instantiation,[status(thm)],[92]) ).
cnf(7,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf,[status(esa)],[unordered_pair_member]) ).
cnf(l11,plain,
( ~ member(x,unordered_pair(y,y))
| x = y
| x = y ),
inference(instantiation,[status(thm)],[7]) ).
cnf(93,plain,
x != y,
inference(cnf,[status(esa)],[prove_singleton_identified_by_element1_3]) ).
cnf(l26,plain,
x != y,
inference(instantiation,[status(thm)],[93]) ).
cnf(l22,plain,
unordered_pair(x,x) = singleton(x),
inference(instantiation,[status(thm)],[11]) ).
cnf(l31,plain,
x != y,
inference(instantiation,[status(thm)],[93]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l6,l57,l17,l61,l11,l26,l22,l31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET083-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Jul 21 19:45:49 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.36 % launching worker at depth: 9
% 0.14/0.40 % launching worker at depth: 10
% 3.46/0.79 % launching worker at depth: 11
% 59.54/7.82 % SZS status Theorem for theBenchmark
% 59.54/7.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------