%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET068-6 : 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 : n002.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 02:11:25 PM UTC 2026
% Result : Unsatisfiable 0.18s 5.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET068-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.44 % Computer : n002.cluster.edu
% 0.18/5.44 % Model : x86_64 x86_64
% 0.18/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44 % Memory : 8046.5625MB
% 0.18/5.44 % OS : Linux 6.8.0-71-generic
% 0.18/5.44 % CPULimit : 300
% 0.18/5.44 % WCLimit : 300
% 0.18/5.44 % DateTime : Mon Sep 21 04:52:22 UTC 2026
% 0.18/5.44 % CPUTime :
% 0.18/5.46 % Drodi V4.1.1
% 0.18/5.47 % Refutation found
% 0.18/5.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/5.47 % SZS output start CNFRefutation for theBenchmark
% 0.18/5.47 fof(f1,axiom,(
% 0.18/5.47 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.18/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.47 fof(f2,axiom,(
% 0.18/5.47 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.18/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.47 fof(f3,axiom,(
% 0.18/5.47 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.18/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.47 fof(f4,axiom,(
% 0.18/5.47 (![X]: (subclass(X,universal_class) ))),
% 0.18/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.47 fof(f8,axiom,(
% 0.18/5.47 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.18/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.47 fof(f10,axiom,(
% 0.18/5.47 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.18/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.47 fof(f12,axiom,(
% 0.18/5.47 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.18/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.47 fof(f92,negated_conjecture,(
% 0.18/5.47 ~ subclass(singleton(y),unordered_pair(x,y)) ),
% 0.18/5.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/5.47 fof(f93,plain,(
% 0.18/5.47 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.18/5.47 inference(miniscoping,[status(thm)],[f1])).
% 0.18/5.47 fof(f94,plain,(
% 0.18/5.47 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.18/5.47 inference(cnf_transformation,[status(thm)],[f93])).
% 0.18/5.47 fof(f95,plain,(
% 0.18/5.47 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.18/5.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/5.47 fof(f96,plain,(
% 0.18/5.47 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.18/5.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/5.47 fof(f97,plain,(
% 0.18/5.47 ![X0]: (subclass(X0,universal_class))),
% 0.18/5.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/5.47 fof(f101,plain,(
% 0.18/5.47 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.18/5.47 inference(miniscoping,[status(thm)],[f8])).
% 0.18/5.47 fof(f102,plain,(
% 0.18/5.47 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.18/5.47 inference(cnf_transformation,[status(thm)],[f101])).
% 0.18/5.47 fof(f105,plain,(
% 0.18/5.47 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.18/5.47 inference(miniscoping,[status(thm)],[f10])).
% 0.18/5.47 fof(f106,plain,(
% 0.18/5.47 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.18/5.47 inference(cnf_transformation,[status(thm)],[f105])).
% 0.18/5.47 fof(f108,plain,(
% 0.18/5.47 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.18/5.47 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/5.47 fof(f198,plain,(
% 0.18/5.47 ~subclass(singleton(y),unordered_pair(x,y))),
% 0.18/5.47 inference(cnf_transformation,[status(thm)],[f92])).
% 0.18/5.47 fof(f209,plain,(
% 0.18/5.47 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.18/5.47 inference(paramodulation,[status(thm)],[f108,f102])).
% 0.18/5.47 fof(f210,plain,(
% 0.18/5.47 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.18/5.47 inference(duplicate_literals_removal,[status(thm)],[f209])).
% 0.18/5.47 fof(f219,plain,(
% 0.18/5.47 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 0.18/5.47 inference(resolution,[status(thm)],[f210,f95])).
% 0.18/5.47 fof(f225,plain,(
% 0.18/5.47 not_subclass_element(singleton(y),unordered_pair(x,y))=y),
% 0.18/5.47 inference(resolution,[status(thm)],[f219,f198])).
% 0.18/5.47 fof(f228,plain,(
% 0.18/5.47 ~member(y,unordered_pair(x,y))|subclass(singleton(y),unordered_pair(x,y))),
% 0.18/5.47 inference(paramodulation,[status(thm)],[f225,f96])).
% 0.18/5.47 fof(f229,plain,(
% 0.18/5.47 member(y,singleton(y))|subclass(singleton(y),unordered_pair(x,y))),
% 0.18/5.47 inference(paramodulation,[status(thm)],[f225,f95])).
% 0.18/5.47 fof(f230,plain,(
% 0.18/5.47 ~member(y,unordered_pair(x,y))),
% 0.18/5.47 inference(forward_subsumption_resolution,[status(thm)],[f228,f198])).
% 0.18/5.47 fof(f231,plain,(
% 0.18/5.47 member(y,singleton(y))),
% 0.18/5.47 inference(forward_subsumption_resolution,[status(thm)],[f229,f198])).
% 0.18/5.47 fof(f252,plain,(
% 0.18/5.47 ~member(y,universal_class)),
% 0.18/5.47 inference(resolution,[status(thm)],[f230,f106])).
% 0.18/5.47 fof(f254,plain,(
% 0.18/5.47 ![X0]: (~subclass(X0,universal_class)|~member(y,X0))),
% 0.18/5.47 inference(resolution,[status(thm)],[f252,f94])).
% 0.18/5.47 fof(f256,plain,(
% 0.18/5.47 ![X0]: (~member(y,X0))),
% 0.18/5.47 inference(forward_subsumption_resolution,[status(thm)],[f254,f97])).
% 0.18/5.47 fof(f257,plain,(
% 0.18/5.47 $false),
% 0.18/5.47 inference(backward_subsumption_resolution,[status(thm)],[f231,f256])).
% 0.18/5.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/5.50 % Elapsed time: 0.043126 seconds
% 0.18/5.50 % CPU time: 0.128858 seconds
% 0.18/5.50 % Total memory used: 27.102 MB
% 0.18/5.50 % Net memory used: 26.994 MB
%------------------------------------------------------------------------------