%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET013-3 : 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 : n012.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 0.02s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET013-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 04:41:23 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.31 % Drodi V4.1.1
% 0.02/0.34 % Refutation found
% 0.02/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.34 fof(f3,axiom,(
% 0.02/0.34 (![X,Y]: (( member(f1(X,Y),X)| member(f1(X,Y),Y)| X = Y ) ))),
% 0.02/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.34 fof(f4,axiom,(
% 0.02/0.34 (![X,Y]: (( ~ member(f1(X,Y),X)| ~ member(f1(X,Y),Y)| X = Y ) ))),
% 0.02/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.34 fof(f28,axiom,(
% 0.02/0.34 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.02/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.34 fof(f29,axiom,(
% 0.02/0.34 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 0.02/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.34 fof(f30,axiom,(
% 0.02/0.34 (![Z,X,Y]: (( member(Z,intersection(X,Y))| ~ member(Z,X)| ~ member(Z,Y) ) ))),
% 0.02/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.34 fof(f142,hypothesis,(
% 0.02/0.34 intersection(as,bs) = cs ),
% 0.02/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.34 fof(f143,hypothesis,(
% 0.02/0.34 intersection(bs,as) = ds ),
% 0.02/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.34 fof(f144,negated_conjecture,(
% 0.02/0.34 cs != ds ),
% 0.02/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.34 fof(f148,plain,(
% 0.02/0.34 ![X0,X1]: (member(f1(X0,X1),X0)|member(f1(X0,X1),X1)|X0=X1)),
% 0.02/0.34 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.34 fof(f149,plain,(
% 0.02/0.34 ![X0,X1]: (~member(f1(X0,X1),X0)|~member(f1(X0,X1),X1)|X0=X1)),
% 0.02/0.34 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.34 fof(f178,plain,(
% 0.02/0.34 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.02/0.34 inference(miniscoping,[status(thm)],[f28])).
% 0.02/0.34 fof(f179,plain,(
% 0.02/0.34 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.02/0.34 inference(cnf_transformation,[status(thm)],[f178])).
% 0.02/0.34 fof(f180,plain,(
% 0.02/0.34 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 0.02/0.34 inference(miniscoping,[status(thm)],[f29])).
% 0.02/0.34 fof(f181,plain,(
% 0.02/0.34 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 0.02/0.34 inference(cnf_transformation,[status(thm)],[f180])).
% 0.02/0.34 fof(f182,plain,(
% 0.02/0.34 ![Z,Y]: ((![X]: (member(Z,intersection(X,Y))|~member(Z,X)))|~member(Z,Y))),
% 0.02/0.34 inference(miniscoping,[status(thm)],[f30])).
% 0.02/0.34 fof(f183,plain,(
% 0.02/0.34 ![X0,X1,X2]: (member(X0,intersection(X1,X2))|~member(X0,X1)|~member(X0,X2))),
% 0.02/0.34 inference(cnf_transformation,[status(thm)],[f182])).
% 0.02/0.34 fof(f322,plain,(
% 0.02/0.34 intersection(as,bs)=cs),
% 0.02/0.34 inference(cnf_transformation,[status(thm)],[f142])).
% 0.02/0.34 fof(f323,plain,(
% 0.02/0.34 intersection(bs,as)=ds),
% 0.02/0.34 inference(cnf_transformation,[status(thm)],[f143])).
% 0.02/0.34 fof(f324,plain,(
% 0.02/0.34 ~cs=ds),
% 0.02/0.34 inference(cnf_transformation,[status(thm)],[f144])).
% 0.02/0.34 fof(f403,plain,(
% 0.02/0.34 ![X0]: (~member(X0,ds)|member(X0,bs))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f323,f179])).
% 0.02/0.34 fof(f404,plain,(
% 0.02/0.34 ![X0]: (~member(X0,cs)|member(X0,as))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f322,f179])).
% 0.02/0.34 fof(f406,plain,(
% 0.02/0.34 ![X0]: (member(f1(X0,ds),bs)|member(f1(X0,ds),X0)|X0=ds)),
% 0.02/0.34 inference(resolution,[status(thm)],[f403,f148])).
% 0.02/0.34 fof(f416,plain,(
% 0.02/0.34 ![X0]: (~member(X0,ds)|member(X0,as))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f323,f181])).
% 0.02/0.34 fof(f417,plain,(
% 0.02/0.34 ![X0]: (~member(X0,cs)|member(X0,bs))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f322,f181])).
% 0.02/0.34 fof(f422,plain,(
% 0.02/0.34 ![X0]: (member(X0,ds)|~member(X0,bs)|~member(X0,as))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f323,f183])).
% 0.02/0.34 fof(f423,plain,(
% 0.02/0.34 ![X0]: (member(X0,cs)|~member(X0,as)|~member(X0,bs))),
% 0.02/0.34 inference(paramodulation,[status(thm)],[f322,f183])).
% 0.02/0.34 fof(f441,plain,(
% 0.02/0.34 ![X0]: (member(f1(cs,X0),as)|member(f1(cs,X0),X0)|cs=X0)),
% 0.02/0.34 inference(resolution,[status(thm)],[f404,f148])).
% 0.02/0.34 fof(f467,plain,(
% 0.02/0.34 member(f1(cs,ds),bs)|cs=ds|member(f1(cs,ds),bs)),
% 0.02/0.34 inference(resolution,[status(thm)],[f406,f417])).
% 0.02/0.34 fof(f481,plain,(
% 0.02/0.34 member(f1(cs,ds),bs)|cs=ds),
% 0.02/0.34 inference(duplicate_literals_removal,[status(thm)],[f467])).
% 0.02/0.34 fof(f482,plain,(
% 0.02/0.34 member(f1(cs,ds),bs)),
% 0.02/0.34 inference(forward_subsumption_resolution,[status(thm)],[f481,f324])).
% 0.02/0.34 fof(f546,plain,(
% 0.02/0.34 member(f1(cs,ds),as)|cs=ds|member(f1(cs,ds),as)),
% 0.02/0.34 inference(resolution,[status(thm)],[f441,f416])).
% 0.02/0.34 fof(f559,plain,(
% 0.02/0.34 member(f1(cs,ds),as)|cs=ds),
% 0.02/0.34 inference(duplicate_literals_removal,[status(thm)],[f546])).
% 0.02/0.34 fof(f560,plain,(
% 0.02/0.34 member(f1(cs,ds),as)),
% 0.02/0.34 inference(forward_subsumption_resolution,[status(thm)],[f559,f324])).
% 0.02/0.34 fof(f602,plain,(
% 0.02/0.34 member(f1(cs,ds),cs)|~member(f1(cs,ds),as)),
% 0.02/0.34 inference(resolution,[status(thm)],[f482,f423])).
% 0.02/0.34 fof(f603,plain,(
% 0.02/0.34 member(f1(cs,ds),ds)|~member(f1(cs,ds),as)),
% 0.02/0.34 inference(resolution,[status(thm)],[f482,f422])).
% 0.02/0.34 fof(f824,plain,(
% 0.02/0.34 member(f1(cs,ds),cs)),
% 0.02/0.34 inference(forward_subsumption_resolution,[status(thm)],[f602,f560])).
% 0.02/0.34 fof(f929,plain,(
% 0.02/0.34 member(f1(cs,ds),ds)),
% 0.02/0.34 inference(forward_subsumption_resolution,[status(thm)],[f603,f560])).
% 0.02/0.34 fof(f930,plain,(
% 0.02/0.34 ~member(f1(cs,ds),cs)|cs=ds),
% 0.02/0.34 inference(resolution,[status(thm)],[f929,f149])).
% 0.02/0.34 fof(f934,plain,(
% 0.02/0.34 cs=ds),
% 0.02/0.34 inference(forward_subsumption_resolution,[status(thm)],[f930,f824])).
% 0.02/0.34 fof(f945,plain,(
% 0.02/0.34 $false),
% 0.02/0.34 inference(forward_subsumption_resolution,[status(thm)],[f934,f324])).
% 0.02/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.38 % Elapsed time: 0.076260 seconds
% 0.07/0.38 % CPU time: 0.164064 seconds
% 0.07/0.38 % Total memory used: 109.196 MB
% 0.07/0.38 % Net memory used: 108.988 MB
%------------------------------------------------------------------------------