%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET083-6 : 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 : n005.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 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET083-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:50:48 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f8,axiom,(
% 0.14/0.40 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,axiom,(
% 0.14/0.40 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,axiom,(
% 0.14/0.40 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f92,negated_conjecture,(
% 0.14/0.40 singleton(x) = singleton(y) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f93,negated_conjecture,(
% 0.14/0.40 member(x,universal_class) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f94,negated_conjecture,(
% 0.14/0.40 x != y ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f103,plain,(
% 0.14/0.40 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.40 fof(f104,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/0.40 fof(f105,plain,(
% 0.14/0.40 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.14/0.40 fof(f106,plain,(
% 0.14/0.40 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f105])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f200,plain,(
% 0.14/0.40 singleton(x)=singleton(y)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f92])).
% 0.14/0.40 fof(f201,plain,(
% 0.14/0.40 member(x,universal_class)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f93])).
% 0.14/0.40 fof(f202,plain,(
% 0.14/0.40 ~x=y),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f94])).
% 0.14/0.40 fof(f240,plain,(
% 0.14/0.40 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f110,f104])).
% 0.14/0.40 fof(f241,plain,(
% 0.14/0.40 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f240])).
% 0.14/0.40 fof(f248,plain,(
% 0.14/0.40 ![X0]: (member(x,unordered_pair(x,X0)))),
% 0.14/0.40 inference(resolution,[status(thm)],[f106,f201])).
% 0.14/0.40 fof(f269,plain,(
% 0.14/0.40 member(x,singleton(x))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f110,f248])).
% 0.14/0.40 fof(f277,plain,(
% 0.14/0.40 member(x,singleton(y))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f200,f269])).
% 0.14/0.40 fof(f302,plain,(
% 0.14/0.40 x=y),
% 0.14/0.40 inference(resolution,[status(thm)],[f241,f277])).
% 0.14/0.40 fof(f304,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f302,f202])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.061932 seconds
% 0.14/0.42 % CPU time: 0.167761 seconds
% 0.14/0.42 % Total memory used: 104.843 MB
% 0.14/0.42 % Net memory used: 104.769 MB
%------------------------------------------------------------------------------