%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET094-6 : 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 : n019.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 02:11:31 PM UTC 2026
% Result : Unsatisfiable 0.23s 5.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET094-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.46 % Computer : n019.cluster.edu
% 0.19/5.46 % Model : x86_64 x86_64
% 0.19/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.46 % Memory : 8046.5625MB
% 0.19/5.46 % OS : Linux 6.8.0-71-generic
% 0.19/5.46 % CPULimit : 300
% 0.19/5.46 % WCLimit : 300
% 0.19/5.46 % DateTime : Mon Sep 21 04:52:42 UTC 2026
% 0.19/5.46 % CPUTime :
% 0.19/5.48 % Drodi V4.1.1
% 0.23/5.51 % Refutation found
% 0.23/5.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/5.51 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.51 fof(f8,axiom,(
% 0.23/5.51 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.23/5.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f12,axiom,(
% 0.23/5.51 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.23/5.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f92,negated_conjecture,(
% 0.23/5.51 singleton(member_of(x)) = x ),
% 0.23/5.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f93,negated_conjecture,(
% 0.23/5.51 member(y,x) ),
% 0.23/5.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f94,negated_conjecture,(
% 0.23/5.51 member_of(x) != y ),
% 0.23/5.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f103,plain,(
% 0.23/5.51 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.23/5.51 inference(miniscoping,[status(thm)],[f8])).
% 0.23/5.51 fof(f104,plain,(
% 0.23/5.51 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f103])).
% 0.23/5.51 fof(f110,plain,(
% 0.23/5.51 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f12])).
% 0.23/5.51 fof(f200,plain,(
% 0.23/5.51 singleton(member_of(x))=x),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f92])).
% 0.23/5.51 fof(f201,plain,(
% 0.23/5.51 member(y,x)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f93])).
% 0.23/5.51 fof(f202,plain,(
% 0.23/5.51 ~member_of(x)=y),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f94])).
% 0.23/5.51 fof(f231,plain,(
% 0.23/5.51 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.23/5.51 inference(paramodulation,[status(thm)],[f110,f104])).
% 0.23/5.51 fof(f232,plain,(
% 0.23/5.51 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.23/5.51 inference(duplicate_literals_removal,[status(thm)],[f231])).
% 0.23/5.51 fof(f309,plain,(
% 0.23/5.51 ![X0]: (~member(X0,x)|X0=member_of(x))),
% 0.23/5.51 inference(paramodulation,[status(thm)],[f200,f232])).
% 0.23/5.51 fof(f312,plain,(
% 0.23/5.51 y=member_of(x)),
% 0.23/5.51 inference(resolution,[status(thm)],[f309,f201])).
% 0.23/5.51 fof(f320,plain,(
% 0.23/5.51 $false),
% 0.23/5.51 inference(forward_subsumption_resolution,[status(thm)],[f312,f202])).
% 0.23/5.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.53 % Elapsed time: 0.060495 seconds
% 0.23/5.53 % CPU time: 0.157788 seconds
% 0.23/5.53 % Total memory used: 39.574 MB
% 0.23/5.53 % Net memory used: 39.539 MB
%------------------------------------------------------------------------------