%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET101-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 02:11:33 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET101-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n002.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 04:55:46 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.46 fof(f9,axiom,(
% 0.16/0.46 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f11,axiom,(
% 0.16/0.46 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f12,axiom,(
% 0.16/0.46 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f13,axiom,(
% 0.16/0.46 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f92,negated_conjecture,(
% 0.16/0.46 ~ member(singleton(x),ordered_pair(x,y)) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f103,plain,(
% 0.16/0.46 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f9])).
% 0.16/0.46 fof(f104,plain,(
% 0.16/0.46 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f103])).
% 0.16/0.46 fof(f107,plain,(
% 0.16/0.46 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f11])).
% 0.16/0.46 fof(f108,plain,(
% 0.16/0.46 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/0.46 fof(f109,plain,(
% 0.16/0.46 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/0.46 fof(f198,plain,(
% 0.16/0.46 ~member(singleton(x),ordered_pair(x,y))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f92])).
% 0.16/0.46 fof(f210,plain,(
% 0.16/0.46 ![X0]: (member(singleton(X0),universal_class))),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f108,f107])).
% 0.16/0.46 fof(f228,plain,(
% 0.16/0.46 ![X0,X1]: (~member(singleton(X0),universal_class)|member(singleton(X0),ordered_pair(X0,X1)))),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f109,f104])).
% 0.16/0.46 fof(f234,plain,(
% 0.16/0.46 ![X0,X1]: (member(singleton(X0),ordered_pair(X0,X1)))),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f228,f210])).
% 0.16/0.46 fof(f235,plain,(
% 0.16/0.46 $false),
% 0.16/0.46 inference(backward_subsumption_resolution,[status(thm)],[f198,f234])).
% 0.16/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.48 % Elapsed time: 0.060227 seconds
% 0.16/0.48 % CPU time: 0.171776 seconds
% 0.16/0.48 % Total memory used: 43.026 MB
% 0.16/0.48 % Net memory used: 42.981 MB
%------------------------------------------------------------------------------