%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM538+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:43:09 PM UTC 2026
% Result : Theorem 4.56s 1.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM538+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 02:40:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 4.56/1.06 % Refutation found
% 4.56/1.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.56/1.06 % SZS output start CNFRefutation for theBenchmark
% 4.56/1.06 fof(f3,axiom,(
% 4.56/1.06 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 4.56/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/1.06 fof(f17,axiom,(
% 4.56/1.06 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) )) )),
% 4.56/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/1.06 fof(f22,axiom,(
% 4.56/1.06 (! [W0] :( aElement0(W0)=> (! [W1] :( ( aSet0(W1)& isFinite0(W1) )=> isFinite0(sdtmndt0(W1,W0)) ) )) )),
% 4.56/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/1.06 fof(f43,axiom,(
% 4.56/1.06 (! [W0] :( ( aSet0(W0)& isFinite0(W0) )=> (! [W1] :( aElement0(W1)=> ( ~ aElementOf0(W1,W0)=> sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) )) )),
% 4.56/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/1.06 fof(f44,hypothesis,(
% 4.56/1.06 aSet0(xS) ),
% 4.56/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/1.06 fof(f45,hypothesis,(
% 4.56/1.06 ( isFinite0(xS)& aElementOf0(xx,xS) ) ),
% 4.56/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/1.06 fof(f46,conjecture,(
% 4.56/1.06 ( ( aSet0(sdtmndt0(xS,xx))& (! [W0] :( aElementOf0(W0,sdtmndt0(xS,xx))<=> ( aElement0(W0)& aElementOf0(W0,xS)& W0 != xx ) ) ))=> szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(xS) ) ),
% 4.56/1.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.56/1.06 fof(f47,negated_conjecture,(
% 4.56/1.06 ~(( ( aSet0(sdtmndt0(xS,xx))& (! [W0] :( aElementOf0(W0,sdtmndt0(xS,xx))<=> ( aElement0(W0)& aElementOf0(W0,xS)& W0 != xx ) ) ))=> szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) = sbrdtbr0(xS) ) )),
% 4.56/1.06 inference(negated_conjecture,[status(cth)],[f46])).
% 4.56/1.06 fof(f54,plain,(
% 4.56/1.06 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 4.56/1.06 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 4.56/1.06 fof(f55,plain,(
% 4.56/1.06 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 4.56/1.06 inference(cnf_transformation,[status(thm)],[f54])).
% 4.56/1.06 fof(f112,plain,(
% 4.56/1.06 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|sdtpldt0(sdtmndt0(W0,W1),W1)=W0)))),
% 4.56/1.06 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 4.56/1.06 fof(f113,plain,(
% 4.56/1.06 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|sdtpldt0(sdtmndt0(X0,X1),X1)=X0)),
% 4.56/1.06 inference(cnf_transformation,[status(thm)],[f112])).
% 4.56/1.06 fof(f122,plain,(
% 4.56/1.06 ![W0]: (~aElement0(W0)|(![W1]: ((~aSet0(W1)|~isFinite0(W1))|isFinite0(sdtmndt0(W1,W0)))))),
% 4.56/1.06 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 4.56/1.06 fof(f123,plain,(
% 4.56/1.06 ![X0,X1]: (~aElement0(X0)|~aSet0(X1)|~isFinite0(X1)|isFinite0(sdtmndt0(X1,X0)))),
% 4.56/1.06 inference(cnf_transformation,[status(thm)],[f122])).
% 4.56/1.06 fof(f172,plain,(
% 4.56/1.06 ![W0]: ((~aSet0(W0)|~isFinite0(W0))|(![W1]: (~aElement0(W1)|(aElementOf0(W1,W0)|sbrdtbr0(sdtpldt0(W0,W1))=szszuzczcdt0(sbrdtbr0(W0))))))),
% 4.56/1.06 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 4.56/1.06 fof(f173,plain,(
% 4.56/1.06 ![X0,X1]: (~aSet0(X0)|~isFinite0(X0)|~aElement0(X1)|aElementOf0(X1,X0)|sbrdtbr0(sdtpldt0(X0,X1))=szszuzczcdt0(sbrdtbr0(X0)))),
% 4.56/1.06 inference(cnf_transformation,[status(thm)],[f172])).
% 4.56/1.06 fof(f174,plain,(
% 4.56/1.06 aSet0(xS)),
% 4.56/1.06 inference(cnf_transformation,[status(thm)],[f44])).
% 4.56/1.06 fof(f175,plain,(
% 4.56/1.06 isFinite0(xS)),
% 4.56/1.06 inference(cnf_transformation,[status(thm)],[f45])).
% 4.56/1.06 fof(f176,plain,(
% 4.56/1.06 aElementOf0(xx,xS)),
% 4.56/1.06 inference(cnf_transformation,[status(thm)],[f45])).
% 4.56/1.06 fof(f177,plain,(
% 4.56/1.06 ((aSet0(sdtmndt0(xS,xx))&(![W0]: (aElementOf0(W0,sdtmndt0(xS,xx))<=>((aElement0(W0)&aElementOf0(W0,xS))&~W0=xx))))&~szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))=sbrdtbr0(xS))),
% 4.56/1.06 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 4.56/1.06 fof(f178,plain,(
% 4.56/1.06 (aSet0(sdtmndt0(xS,xx))&(![W0]: ((~aElementOf0(W0,sdtmndt0(xS,xx))|((aElement0(W0)&aElementOf0(W0,xS))&~W0=xx))&(aElementOf0(W0,sdtmndt0(xS,xx))|((~aElement0(W0)|~aElementOf0(W0,xS))|W0=xx)))))&~szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))=sbrdtbr0(xS)),
% 4.56/1.06 inference(NNF_transformation,[status(thm)],[f177])).
% 4.56/1.06 fof(f179,plain,(
% 4.56/1.06 (aSet0(sdtmndt0(xS,xx))&((![W0]: (~aElementOf0(W0,sdtmndt0(xS,xx))|((aElement0(W0)&aElementOf0(W0,xS))&~W0=xx)))&(![W0]: (aElementOf0(W0,sdtmndt0(xS,xx))|((~aElement0(W0)|~aElementOf0(W0,xS))|W0=xx)))))&~szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))=sbrdtbr0(xS)),
% 4.56/1.08 inference(miniscoping,[status(thm)],[f178])).
% 4.56/1.08 fof(f180,plain,(
% 4.56/1.08 aSet0(sdtmndt0(xS,xx))),
% 4.56/1.08 inference(cnf_transformation,[status(thm)],[f179])).
% 4.56/1.08 fof(f183,plain,(
% 4.56/1.08 ![X0]: (~aElementOf0(X0,sdtmndt0(xS,xx))|~X0=xx)),
% 4.56/1.08 inference(cnf_transformation,[status(thm)],[f179])).
% 4.56/1.08 fof(f185,plain,(
% 4.56/1.08 ~szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))=sbrdtbr0(xS)),
% 4.56/1.08 inference(cnf_transformation,[status(thm)],[f179])).
% 4.56/1.08 fof(f205,plain,(
% 4.56/1.08 ~aElementOf0(xx,sdtmndt0(xS,xx))),
% 4.56/1.08 inference(destructive_equality_resolution,[status(thm)],[f183])).
% 4.56/1.08 fof(f210,plain,(
% 4.56/1.08 ~aSet0(xS)|aElement0(xx)),
% 4.56/1.08 inference(resolution,[status(thm)],[f55,f176])).
% 4.56/1.08 fof(f211,plain,(
% 4.56/1.08 aElement0(xx)),
% 4.56/1.08 inference(forward_subsumption_resolution,[status(thm)],[f210,f174])).
% 4.56/1.08 fof(f466,plain,(
% 4.56/1.08 ![X0]: (~isFinite0(sdtmndt0(xS,xx))|~aElement0(X0)|aElementOf0(X0,sdtmndt0(xS,xx))|sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),X0))=szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))))),
% 4.56/1.08 inference(resolution,[status(thm)],[f173,f180])).
% 4.56/1.08 fof(f3045,plain,(
% 4.56/1.08 ~aSet0(xS)|sdtpldt0(sdtmndt0(xS,xx),xx)=xS),
% 4.56/1.08 inference(resolution,[status(thm)],[f113,f176])).
% 4.56/1.08 fof(f3064,plain,(
% 4.56/1.08 sdtpldt0(sdtmndt0(xS,xx),xx)=xS),
% 4.56/1.08 inference(forward_subsumption_resolution,[status(thm)],[f3045,f174])).
% 4.56/1.08 fof(f3937,plain,(
% 4.56/1.08 ![X0]: (~aSet0(X0)|~isFinite0(X0)|isFinite0(sdtmndt0(X0,xx)))),
% 4.56/1.08 inference(resolution,[status(thm)],[f123,f211])).
% 4.56/1.08 fof(f4862,plain,(
% 4.56/1.08 ~isFinite0(xS)|isFinite0(sdtmndt0(xS,xx))),
% 4.56/1.08 inference(resolution,[status(thm)],[f3937,f174])).
% 4.56/1.08 fof(f4934,plain,(
% 4.56/1.08 isFinite0(sdtmndt0(xS,xx))),
% 4.56/1.08 inference(forward_subsumption_resolution,[status(thm)],[f4862,f175])).
% 4.56/1.08 fof(f4937,plain,(
% 4.56/1.08 ![X0]: (~aElement0(X0)|aElementOf0(X0,sdtmndt0(xS,xx))|sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),X0))=szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))))),
% 4.56/1.08 inference(backward_subsumption_resolution,[status(thm)],[f466,f4934])).
% 4.56/1.08 fof(f4965,plain,(
% 4.56/1.08 aElementOf0(xx,sdtmndt0(xS,xx))|sbrdtbr0(sdtpldt0(sdtmndt0(xS,xx),xx))=szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))),
% 4.56/1.08 inference(resolution,[status(thm)],[f4937,f211])).
% 4.56/1.08 fof(f5011,plain,(
% 4.56/1.08 aElementOf0(xx,sdtmndt0(xS,xx))|sbrdtbr0(xS)=szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))),
% 4.56/1.08 inference(forward_demodulation,[status(thm)],[f3064,f4965])).
% 4.56/1.08 fof(f5012,plain,(
% 4.56/1.08 sbrdtbr0(xS)=szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx)))),
% 4.56/1.08 inference(forward_subsumption_resolution,[status(thm)],[f5011,f205])).
% 4.56/1.08 fof(f5634,plain,(
% 4.56/1.08 $false),
% 4.56/1.08 inference(forward_subsumption_resolution,[status(thm)],[f5012,f185])).
% 4.56/1.08 % SZS output end CNFRefutation for theBenchmark.p
% 4.56/1.09 % Elapsed time: 0.704374 seconds
% 4.56/1.09 % CPU time: 5.237391 seconds
% 4.56/1.09 % Total memory used: 144.393 MB
% 4.56/1.09 % Net memory used: 139.197 MB
%------------------------------------------------------------------------------