%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET012-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 03:31:04 PM UTC 2025
% Result : Unsatisfiable 6.07s 1.13s
% Output : CNFRefutation 6.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_equals_c)
% Comments :
%------------------------------------------------------------------------------
cnf(10,plain,
as != cs,
inference(cnf,[status(esa)],[prove_a_equals_c]) ).
cnf(l0,plain,
as != cs,
inference(instantiation,[status(thm)],[10]) ).
cnf(2,plain,
( member(f1(X0,X1),X0)
| member(f1(X0,X1),X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[extensionality2]) ).
cnf(l2,plain,
( member(f1(as,complement(complement(as))),as)
| member(f1(as,complement(complement(as))),complement(complement(as)))
| as = complement(complement(as)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ member(f1(X0,X1),X0)
| ~ member(f1(X0,X1),X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[extensionality3]) ).
cnf(l3,plain,
( ~ member(f1(as,complement(complement(as))),as)
| ~ member(f1(as,complement(complement(as))),complement(complement(as)))
| as = complement(complement(as)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ member(X0,X1)
| little_set(X0) ),
inference(cnf,[status(esa)],[a2]) ).
cnf(l5,plain,
( ~ member(f1(as,complement(complement(as))),complement(complement(as)))
| little_set(f1(as,complement(complement(as)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
( ~ little_set(X0)
| member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement2]) ).
cnf(l70,plain,
( ~ little_set(f1(as,complement(complement(as))))
| member(f1(as,complement(complement(as))),complement(as))
| member(f1(as,complement(complement(as))),complement(complement(as))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( little_set(f1(X0,X1))
| X0 = X1 ),
inference(cnf,[status(esa)],[extensionality1]) ).
cnf(l71,plain,
( little_set(f1(as,complement(complement(as))))
| as = complement(complement(as)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
( ~ little_set(f1(as,complement(complement(as))))
| member(f1(as,complement(complement(as))),as)
| member(f1(as,complement(complement(as))),complement(as)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l32,plain,
( ~ member(f1(as,complement(complement(as))),complement(as))
| ~ member(f1(as,complement(complement(as))),complement(complement(as))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l10,plain,
( ~ member(f1(as,complement(complement(as))),as)
| ~ member(f1(as,complement(complement(as))),complement(complement(as)))
| as = complement(complement(as)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(9,plain,
complement(bs) = cs,
inference(cnf,[status(esa)],[complement_of_b_is_c]) ).
cnf(l37,plain,
complement(bs) = cs,
inference(instantiation,[status(thm)],[9]) ).
cnf(l73,plain,
( ~ member(f1(as,complement(complement(as))),as)
| ~ member(f1(as,complement(complement(as))),complement(as)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(8,plain,
complement(as) = bs,
inference(cnf,[status(esa)],[complement_of_a_is_b]) ).
cnf(l24,plain,
complement(as) = bs,
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l5,l70,l71,l7,l32,l10,l37,l73,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET012-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 19:13:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 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: 4
% 0.12/0.34 % launching worker at depth: 2
% 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
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.18/0.48 % launching worker at depth: 12
% 6.07/1.13 % SZS status Theorem for theBenchmark
% 6.07/1.13 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------