%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET080-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:11:28 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET080-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 04:50:42 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.14/5.42 % Refutation found
% 0.14/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.42 fof(f1,axiom,(
% 0.14/5.42 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f4,axiom,(
% 0.14/5.42 (![X]: (subclass(X,universal_class) ))),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f9,axiom,(
% 0.14/5.42 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f12,axiom,(
% 0.14/5.42 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f47,axiom,(
% 0.14/5.42 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f50,axiom,(
% 0.14/5.42 inductive(omega) ),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f92,negated_conjecture,(
% 0.14/5.42 ~ member(null_class,singleton(null_class)) ),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f93,plain,(
% 0.14/5.42 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.14/5.42 inference(miniscoping,[status(thm)],[f1])).
% 0.14/5.42 fof(f94,plain,(
% 0.14/5.42 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f93])).
% 0.14/5.42 fof(f97,plain,(
% 0.14/5.42 ![X0]: (subclass(X0,universal_class))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.42 fof(f103,plain,(
% 0.14/5.42 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.14/5.42 inference(miniscoping,[status(thm)],[f9])).
% 0.14/5.42 fof(f104,plain,(
% 0.14/5.42 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/5.42 fof(f108,plain,(
% 0.14/5.42 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/5.42 fof(f148,plain,(
% 0.14/5.42 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/5.42 fof(f151,plain,(
% 0.14/5.42 inductive(omega)),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/5.42 fof(f198,plain,(
% 0.14/5.42 ~member(null_class,singleton(null_class))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f92])).
% 0.14/5.42 fof(f203,plain,(
% 0.14/5.42 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.14/5.42 inference(resolution,[status(thm)],[f97,f94])).
% 0.14/5.42 fof(f205,plain,(
% 0.14/5.42 member(null_class,omega)),
% 0.14/5.42 inference(resolution,[status(thm)],[f148,f151])).
% 0.14/5.42 fof(f211,plain,(
% 0.14/5.42 member(null_class,universal_class)),
% 0.14/5.42 inference(resolution,[status(thm)],[f203,f205])).
% 0.14/5.42 fof(f246,plain,(
% 0.14/5.42 ![X0]: (member(null_class,unordered_pair(null_class,X0)))),
% 0.14/5.42 inference(resolution,[status(thm)],[f104,f211])).
% 0.14/5.42 fof(f293,plain,(
% 0.14/5.42 member(null_class,singleton(null_class))),
% 0.14/5.42 inference(paramodulation,[status(thm)],[f108,f246])).
% 0.14/5.42 fof(f301,plain,(
% 0.14/5.42 $false),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f293,f198])).
% 0.14/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.44 % Elapsed time: 0.059415 seconds
% 0.14/5.44 % CPU time: 0.160869 seconds
% 0.14/5.44 % Total memory used: 104.784 MB
% 0.14/5.44 % Net memory used: 104.715 MB
%------------------------------------------------------------------------------