%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU234+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:22:05 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU234+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 06:07:43 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.16/0.40 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.46 fof(f6,axiom,(
% 0.16/0.46 (! [A] :( ( epsilon_transitive(A)& epsilon_connected(A) )=> ordinal(A) ) )),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f8,axiom,(
% 0.16/0.46 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f9,axiom,(
% 0.16/0.46 (! [A] :( epsilon_connected(A)<=> (! [B,C] :~ ( in(B,A)& in(C,A)& ~ in(B,C)& B != C& ~ in(C,B) ) )) )),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f31,axiom,(
% 0.16/0.46 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ in(A,B)& A != B& ~ in(B,A) ) ) )) )),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f33,conjecture,(
% 0.16/0.46 (! [A] :( (! [B] :( in(B,A)=> ( ordinal(B)& subset(B,A) ) ))=> ordinal(A) ) )),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f34,negated_conjecture,(
% 0.16/0.46 ~((! [A] :( (! [B] :( in(B,A)=> ( ordinal(B)& subset(B,A) ) ))=> ordinal(A) ) ))),
% 0.16/0.46 inference(negated_conjecture,[status(cth)],[f33])).
% 0.16/0.46 fof(f54,plain,(
% 0.16/0.46 ![A]: ((~epsilon_transitive(A)|~epsilon_connected(A))|ordinal(A))),
% 0.16/0.46 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.16/0.46 fof(f55,plain,(
% 0.16/0.46 ![X0]: (~epsilon_transitive(X0)|~epsilon_connected(X0)|ordinal(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f54])).
% 0.16/0.46 fof(f60,plain,(
% 0.16/0.46 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 0.16/0.46 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.16/0.46 fof(f61,plain,(
% 0.16/0.46 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.16/0.46 inference(NNF_transformation,[status(thm)],[f60])).
% 0.16/0.46 fof(f62,plain,(
% 0.16/0.46 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f61])).
% 0.16/0.46 fof(f63,plain,(
% 0.16/0.46 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(in(sK0_skl(A),A)&~subset(sK0_skl(A),A))))),
% 0.16/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl(A))],[f62])).
% 0.16/0.46 fof(f65,plain,(
% 0.16/0.46 ![X0]: (epsilon_transitive(X0)|in(sK0_skl(X0),X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f63])).
% 0.16/0.46 fof(f66,plain,(
% 0.16/0.46 ![X0]: (epsilon_transitive(X0)|~subset(sK0_skl(X0),X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f63])).
% 0.16/0.46 fof(f67,plain,(
% 0.16/0.46 ![A]: (epsilon_connected(A)<=>(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B))))),
% 0.16/0.46 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.16/0.46 fof(f68,plain,(
% 0.16/0.46 ![A]: ((~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B))))&(epsilon_connected(A)|(?[B,C]: ((((in(B,A)&in(C,A))&~in(B,C))&~B=C)&~in(C,B)))))),
% 0.16/0.46 inference(NNF_transformation,[status(thm)],[f67])).
% 0.16/0.46 fof(f69,plain,(
% 0.16/0.46 (![A]: (~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B)))))&(![A]: (epsilon_connected(A)|(?[B,C]: ((((in(B,A)&in(C,A))&~in(B,C))&~B=C)&~in(C,B)))))),
% 0.16/0.46 inference(miniscoping,[status(thm)],[f68])).
% 0.16/0.46 fof(f70,plain,(
% 0.16/0.46 (![A]: (~epsilon_connected(A)|(![B,C]: ((((~in(B,A)|~in(C,A))|in(B,C))|B=C)|in(C,B)))))&(![A]: (epsilon_connected(A)|((((in(sK1_skl(A),A)&in(sK2_skl(A),A))&~in(sK1_skl(A),sK2_skl(A)))&~sK1_skl(A)=sK2_skl(A))&~in(sK2_skl(A),sK1_skl(A)))))),
% 0.16/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B,sK1_skl(A)),skolemize(C,sK2_skl(A))],[f69])).
% 0.16/0.46 fof(f72,plain,(
% 0.16/0.46 ![X0]: (epsilon_connected(X0)|in(sK1_skl(X0),X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.46 fof(f73,plain,(
% 0.16/0.46 ![X0]: (epsilon_connected(X0)|in(sK2_skl(X0),X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.46 fof(f74,plain,(
% 0.16/0.46 ![X0]: (epsilon_connected(X0)|~in(sK1_skl(X0),sK2_skl(X0)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.46 fof(f75,plain,(
% 0.16/0.46 ![X0]: (epsilon_connected(X0)|~sK1_skl(X0)=sK2_skl(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.46 fof(f76,plain,(
% 0.16/0.46 ![X0]: (epsilon_connected(X0)|~in(sK2_skl(X0),sK1_skl(X0)))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.46 fof(f151,plain,(
% 0.16/0.46 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|((in(A,B)|A=B)|in(B,A)))))),
% 0.16/0.46 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.16/0.46 fof(f152,plain,(
% 0.16/0.46 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|X0=X1|in(X1,X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f151])).
% 0.16/0.46 fof(f155,plain,(
% 0.16/0.46 (?[A]: ((![B]: (~in(B,A)|(ordinal(B)&subset(B,A))))&~ordinal(A)))),
% 0.16/0.46 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.16/0.46 fof(f156,plain,(
% 0.16/0.46 ((![B]: (~in(B,sK17_skl)|(ordinal(B)&subset(B,sK17_skl))))&~ordinal(sK17_skl))),
% 0.16/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(A,sK17_skl)],[f155])).
% 0.16/0.46 fof(f157,plain,(
% 0.16/0.46 ![X0]: (~in(X0,sK17_skl)|ordinal(X0))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f156])).
% 0.16/0.46 fof(f158,plain,(
% 0.16/0.46 ![X0]: (~in(X0,sK17_skl)|subset(X0,sK17_skl))),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f156])).
% 0.16/0.46 fof(f159,plain,(
% 0.16/0.46 ~ordinal(sK17_skl)),
% 0.16/0.46 inference(cnf_transformation,[status(thm)],[f156])).
% 0.16/0.46 fof(f191,plain,(
% 0.16/0.46 epsilon_transitive(sK17_skl)|~in(sK0_skl(sK17_skl),sK17_skl)),
% 0.16/0.46 inference(resolution,[status(thm)],[f66,f158])).
% 0.16/0.46 fof(f193,plain,(
% 0.16/0.46 epsilon_transitive(sK17_skl)),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f191,f65])).
% 0.16/0.46 fof(f195,plain,(
% 0.16/0.46 epsilon_connected(sK17_skl)|ordinal(sK1_skl(sK17_skl))),
% 0.16/0.46 inference(resolution,[status(thm)],[f72,f157])).
% 0.16/0.46 fof(f199,plain,(
% 0.16/0.46 epsilon_connected(sK17_skl)|ordinal(sK2_skl(sK17_skl))),
% 0.16/0.46 inference(resolution,[status(thm)],[f73,f157])).
% 0.16/0.46 fof(f206,plain,(
% 0.16/0.46 ![X0]: (epsilon_connected(sK17_skl)|~ordinal(X0)|in(X0,sK1_skl(sK17_skl))|X0=sK1_skl(sK17_skl)|in(sK1_skl(sK17_skl),X0))),
% 0.16/0.46 inference(resolution,[status(thm)],[f195,f152])).
% 0.16/0.46 fof(f218,plain,(
% 0.16/0.46 epsilon_connected(sK17_skl)|in(sK2_skl(sK17_skl),sK1_skl(sK17_skl))|sK2_skl(sK17_skl)=sK1_skl(sK17_skl)|in(sK1_skl(sK17_skl),sK2_skl(sK17_skl))|epsilon_connected(sK17_skl)),
% 0.16/0.46 inference(resolution,[status(thm)],[f206,f199])).
% 0.16/0.46 fof(f221,plain,(
% 0.16/0.46 epsilon_connected(sK17_skl)|in(sK2_skl(sK17_skl),sK1_skl(sK17_skl))|sK2_skl(sK17_skl)=sK1_skl(sK17_skl)|in(sK1_skl(sK17_skl),sK2_skl(sK17_skl))),
% 0.16/0.46 inference(duplicate_literals_removal,[status(thm)],[f218])).
% 0.16/0.46 fof(f222,plain,(
% 0.16/0.46 epsilon_connected(sK17_skl)|sK2_skl(sK17_skl)=sK1_skl(sK17_skl)|in(sK1_skl(sK17_skl),sK2_skl(sK17_skl))),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f221,f76])).
% 0.16/0.46 fof(f234,plain,(
% 0.16/0.46 epsilon_connected(sK17_skl)|in(sK1_skl(sK17_skl),sK2_skl(sK17_skl))),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f222,f75])).
% 0.16/0.46 fof(f235,plain,(
% 0.16/0.46 epsilon_connected(sK17_skl)|epsilon_connected(sK17_skl)),
% 0.16/0.46 inference(resolution,[status(thm)],[f234,f74])).
% 0.16/0.46 fof(f239,plain,(
% 0.16/0.46 epsilon_connected(sK17_skl)),
% 0.16/0.46 inference(duplicate_literals_removal,[status(thm)],[f235])).
% 0.16/0.46 fof(f252,plain,(
% 0.16/0.46 ~epsilon_transitive(sK17_skl)|ordinal(sK17_skl)),
% 0.16/0.46 inference(resolution,[status(thm)],[f239,f55])).
% 0.16/0.46 fof(f253,plain,(
% 0.16/0.46 ordinal(sK17_skl)),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f252,f193])).
% 0.16/0.46 fof(f256,plain,(
% 0.16/0.46 $false),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f253,f159])).
% 0.16/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.48 % Elapsed time: 0.084756 seconds
% 0.16/0.48 % CPU time: 0.409621 seconds
% 0.16/0.48 % Total memory used: 75.064 MB
% 0.16/0.48 % Net memory used: 74.737 MB
%------------------------------------------------------------------------------