%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET012-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:11:10 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET012-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:44:22 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % 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(f1,axiom,(
% 0.10/0.41 (![X,Y]: (( ~ member(X,Y)| little_set(X) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![X,Y]: (( member(f1(X,Y),X)| member(f1(X,Y),Y)| X = Y ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,axiom,(
% 0.10/0.41 (![X,Y]: (( ~ member(f1(X,Y),X)| ~ member(f1(X,Y),Y)| X = Y ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f31,axiom,(
% 0.10/0.41 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f32,axiom,(
% 0.10/0.41 (![Z,X]: (( member(Z,complement(X))| ~ little_set(Z)| member(Z,X) ) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f142,hypothesis,(
% 0.10/0.41 complement(as) = bs ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f143,hypothesis,(
% 0.10/0.41 complement(bs) = cs ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f144,negated_conjecture,(
% 0.10/0.41 as != cs ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f145,plain,(
% 0.10/0.41 ![X]: ((![Y]: ~member(X,Y))|little_set(X))),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.10/0.41 fof(f146,plain,(
% 0.10/0.41 ![X0,X1]: (~member(X0,X1)|little_set(X0))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f145])).
% 0.10/0.41 fof(f148,plain,(
% 0.10/0.41 ![X0,X1]: (member(f1(X0,X1),X0)|member(f1(X0,X1),X1)|X0=X1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f149,plain,(
% 0.10/0.41 ![X0,X1]: (~member(f1(X0,X1),X0)|~member(f1(X0,X1),X1)|X0=X1)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f184,plain,(
% 0.10/0.41 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.41 fof(f185,plain,(
% 0.10/0.41 ![X0,X1]: (member(X0,complement(X1))|~little_set(X0)|member(X0,X1))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.41 fof(f322,plain,(
% 0.10/0.41 complement(as)=bs),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f142])).
% 0.10/0.41 fof(f323,plain,(
% 0.10/0.41 complement(bs)=cs),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f143])).
% 0.10/0.41 fof(f324,plain,(
% 0.10/0.41 ~as=cs),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f144])).
% 0.10/0.41 fof(f353,plain,(
% 0.10/0.41 ![X0,X1]: (member(f1(X0,X1),X1)|X0=X1|~member(f1(X0,X1),complement(X0)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f148,f184])).
% 0.10/0.41 fof(f371,plain,(
% 0.10/0.41 ![X0]: (member(X0,bs)|~little_set(X0)|member(X0,as))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f322,f185])).
% 0.10/0.41 fof(f372,plain,(
% 0.10/0.41 ![X0]: (member(X0,cs)|~little_set(X0)|member(X0,bs))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f323,f185])).
% 0.10/0.41 fof(f377,plain,(
% 0.10/0.41 ![X0]: (~little_set(X0)|member(X0,as)|~member(X0,complement(bs)))),
% 0.10/0.41 inference(resolution,[status(thm)],[f371,f184])).
% 0.10/0.41 fof(f379,plain,(
% 0.10/0.41 ![X0]: (~little_set(X0)|member(X0,as)|~member(X0,cs))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f323,f377])).
% 0.10/0.41 fof(f380,plain,(
% 0.10/0.41 ![X0]: (member(X0,as)|~member(X0,cs))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f379,f146])).
% 0.10/0.41 fof(f381,plain,(
% 0.10/0.41 ![X0]: (~little_set(f1(X0,cs))|member(f1(X0,cs),bs)|~member(f1(X0,cs),X0)|X0=cs)),
% 0.10/0.41 inference(resolution,[status(thm)],[f372,f149])).
% 0.10/0.41 fof(f384,plain,(
% 0.10/0.41 ![X0]: (member(f1(X0,cs),bs)|~member(f1(X0,cs),X0)|X0=cs)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f381,f146])).
% 0.10/0.41 fof(f433,plain,(
% 0.10/0.41 ![X0]: (member(f1(as,X0),X0)|as=X0|~member(f1(as,X0),bs))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f322,f353])).
% 0.10/0.41 fof(f437,plain,(
% 0.10/0.41 member(f1(as,cs),cs)|as=cs|~member(f1(as,cs),as)|as=cs),
% 0.10/0.41 inference(resolution,[status(thm)],[f433,f384])).
% 0.10/0.41 fof(f440,plain,(
% 0.10/0.41 member(f1(as,cs),cs)|as=cs|~member(f1(as,cs),as)),
% 0.10/0.41 inference(duplicate_literals_removal,[status(thm)],[f437])).
% 0.10/0.41 fof(f441,plain,(
% 0.10/0.41 as=cs|~member(f1(as,cs),as)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f440,f149])).
% 0.10/0.41 fof(f716,plain,(
% 0.10/0.41 ~member(f1(as,cs),as)),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f441,f324])).
% 0.10/0.41 fof(f717,plain,(
% 0.10/0.41 member(f1(as,cs),cs)|as=cs),
% 0.10/0.41 inference(resolution,[status(thm)],[f716,f148])).
% 0.10/0.41 fof(f718,plain,(
% 0.10/0.41 member(f1(as,cs),cs)),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f717,f324])).
% 0.10/0.42 fof(f720,plain,(
% 0.10/0.42 member(f1(as,cs),as)),
% 0.10/0.42 inference(resolution,[status(thm)],[f718,f380])).
% 0.10/0.42 fof(f723,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f720,f716])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.073768 seconds
% 0.10/0.45 % CPU time: 0.272620 seconds
% 0.10/0.45 % Total memory used: 109.640 MB
% 0.10/0.45 % Net memory used: 109.442 MB
%------------------------------------------------------------------------------