%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET090-7 : 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 : n008.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 02:11:30 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET090-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:51:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f120,axiom,(
% 0.10/0.41 (![X]: (member(singleton(X),universal_class) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f127,axiom,(
% 0.10/0.41 (![X,Y]: (( singleton(X) != singleton(Y)| ~ member(X,universal_class)| X = Y ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f131,axiom,(
% 0.10/0.41 (![Y]: (( ~ member(Y,universal_class)| singleton(member_of(singleton(Y))) = singleton(Y) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f133,axiom,(
% 0.10/0.41 (![X]: (( singleton(member_of(X)) = X| member_of(X) = X ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f134,negated_conjecture,(
% 0.10/0.41 member(u,universal_class) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f135,negated_conjecture,(
% 0.10/0.41 member_of(singleton(u)) != u ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f282,plain,(
% 0.10/0.41 ![X0]: (member(singleton(X0),universal_class))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f120])).
% 0.10/0.41 fof(f289,plain,(
% 0.10/0.41 ![X0,X1]: (~singleton(X0)=singleton(X1)|~member(X0,universal_class)|X0=X1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f127])).
% 0.10/0.41 fof(f294,plain,(
% 0.10/0.41 ![X0]: (~member(X0,universal_class)|singleton(member_of(singleton(X0)))=singleton(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f131])).
% 0.10/0.41 fof(f296,plain,(
% 0.10/0.41 ![X0]: (singleton(member_of(X0))=X0|member_of(X0)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f133])).
% 0.10/0.41 fof(f297,plain,(
% 0.10/0.41 member(u,universal_class)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f134])).
% 0.10/0.41 fof(f298,plain,(
% 0.10/0.41 ~member_of(singleton(u))=u),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f135])).
% 0.10/0.41 fof(f306,plain,(
% 0.10/0.41 ![X0,X1]: (~singleton(singleton(X0))=singleton(X1)|singleton(X0)=X1)),
% 0.10/0.41 inference(resolution,[status(thm)],[f289,f282])).
% 0.10/0.41 fof(f307,plain,(
% 0.10/0.41 ![X0]: (~singleton(u)=singleton(X0)|u=X0)),
% 0.10/0.41 inference(resolution,[status(thm)],[f289,f297])).
% 0.10/0.41 fof(f322,plain,(
% 0.10/0.41 u=member_of(singleton(u))|member_of(singleton(u))=singleton(u)),
% 0.10/0.41 inference(resolution,[status(thm)],[f307,f296])).
% 0.10/0.41 fof(f325,plain,(
% 0.10/0.41 member_of(singleton(u))=singleton(u)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f322,f298])).
% 0.10/0.41 fof(f341,plain,(
% 0.10/0.41 singleton(member_of(singleton(u)))=singleton(u)),
% 0.10/0.41 inference(resolution,[status(thm)],[f294,f297])).
% 0.10/0.41 fof(f387,plain,(
% 0.10/0.41 ~singleton(u)=u),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f325,f298])).
% 0.10/0.41 fof(f390,plain,(
% 0.10/0.41 singleton(singleton(u))=singleton(u)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f325,f341])).
% 0.10/0.41 fof(f391,plain,(
% 0.10/0.41 singleton(u)=u),
% 0.10/0.41 inference(resolution,[status(thm)],[f390,f306])).
% 0.10/0.41 fof(f404,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f391,f387])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.060871 seconds
% 0.10/0.44 % CPU time: 0.182282 seconds
% 0.10/0.44 % Total memory used: 93.230 MB
% 0.10/0.44 % Net memory used: 93.124 MB
%------------------------------------------------------------------------------