%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET084-7 : 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 : n009.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 02:11:29 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET084-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 04:50:58 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f1,axiom,(
% 0.15/0.42 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f4,axiom,(
% 0.15/0.42 (![X]: (subclass(X,universal_class) ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f122,axiom,(
% 0.15/0.42 (![X]: (( ~ member(X,universal_class)| member(X,singleton(X)) ) ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f123,axiom,(
% 0.15/0.42 (![X]: (( ~ member(X,universal_class)| singleton(X) != null_class ) ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f125,axiom,(
% 0.15/0.42 (![Y,X]: (( ~ member(Y,singleton(X))| Y = X ) ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f126,axiom,(
% 0.15/0.42 (![X]: (( member(X,universal_class)| singleton(X) = null_class ) ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f127,negated_conjecture,(
% 0.15/0.42 singleton(x) = singleton(y) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f128,negated_conjecture,(
% 0.15/0.42 member(y,universal_class) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f129,negated_conjecture,(
% 0.15/0.42 x != y ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f130,plain,(
% 0.15/0.42 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.42 fof(f131,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f130])).
% 0.15/0.42 fof(f134,plain,(
% 0.15/0.42 ![X0]: (subclass(X0,universal_class))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.42 fof(f278,plain,(
% 0.15/0.42 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f122])).
% 0.15/0.42 fof(f279,plain,(
% 0.15/0.42 ![X0]: (~member(X0,universal_class)|~singleton(X0)=null_class)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f123])).
% 0.15/0.42 fof(f281,plain,(
% 0.15/0.42 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f125])).
% 0.15/0.42 fof(f282,plain,(
% 0.15/0.42 ![X0]: (member(X0,universal_class)|singleton(X0)=null_class)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f126])).
% 0.15/0.42 fof(f283,plain,(
% 0.15/0.42 singleton(x)=singleton(y)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f127])).
% 0.15/0.42 fof(f284,plain,(
% 0.15/0.42 member(y,universal_class)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f128])).
% 0.15/0.42 fof(f285,plain,(
% 0.15/0.42 ~x=y),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f129])).
% 0.15/0.42 fof(f325,plain,(
% 0.15/0.42 ![X0]: (~member(X0,singleton(x))|X0=y)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f283,f281])).
% 0.15/0.42 fof(f338,plain,(
% 0.15/0.42 ~singleton(y)=null_class),
% 0.15/0.42 inference(resolution,[status(thm)],[f279,f284])).
% 0.15/0.42 fof(f342,plain,(
% 0.15/0.42 ~singleton(x)=null_class),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f283,f338])).
% 0.15/0.42 fof(f371,plain,(
% 0.15/0.42 x=y|~member(x,universal_class)),
% 0.15/0.42 inference(resolution,[status(thm)],[f325,f278])).
% 0.15/0.42 fof(f373,plain,(
% 0.15/0.42 ~member(x,universal_class)),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f371,f285])).
% 0.15/0.42 fof(f376,plain,(
% 0.15/0.42 ![X0]: (~subclass(X0,universal_class)|~member(x,X0))),
% 0.15/0.42 inference(resolution,[status(thm)],[f373,f131])).
% 0.15/0.42 fof(f377,plain,(
% 0.15/0.42 ![X0]: (~member(x,X0))),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f376,f134])).
% 0.15/0.42 fof(f384,plain,(
% 0.15/0.42 singleton(x)=null_class),
% 0.15/0.42 inference(resolution,[status(thm)],[f282,f377])).
% 0.15/0.42 fof(f387,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f384,f342])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.061537 seconds
% 0.15/0.44 % CPU time: 0.163610 seconds
% 0.15/0.44 % Total memory used: 106.369 MB
% 0.15/0.44 % Net memory used: 106.271 MB
%------------------------------------------------------------------------------