%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET081-6 : 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 : n019.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 03:31:27 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_only_member_in_singleton_1)
% Comments :
%------------------------------------------------------------------------------
cnf(91,plain,
member(y,singleton(x)),
inference(cnf,[status(esa)],[prove_only_member_in_singleton_1]) ).
cnf(l0,plain,
member(y,singleton(x)),
inference(instantiation,[status(thm)],[91]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l1,plain,
( ~ subclass(singleton(x),unordered_pair(x,x))
| ~ member(y,singleton(x))
| member(y,unordered_pair(x,x)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( X0 != X1
| subclass(X1,X0) ),
inference(cnf,[status(esa)],[equal_implies_subclass2]) ).
cnf(l11,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(l12,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(l2,plain,
( ~ member(y,unordered_pair(x,x))
| y = x
| y = x ),
inference(instantiation,[status(thm)],[7]) ).
cnf(92,plain,
y != x,
inference(cnf,[status(esa)],[prove_only_member_in_singleton_2]) ).
cnf(l3,plain,
y != x,
inference(instantiation,[status(thm)],[92]) ).
cnf(l6,plain,
y != x,
inference(instantiation,[status(thm)],[92]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l11,l12,l2,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET081-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 19:45:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % 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
%------------------------------------------------------------------------------