%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU110+1 : 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 : 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 02:21:41 PM UTC 2026
% Result : Theorem 13.97s 2.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU110+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 05:53:22 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 13.97/2.33 % Refutation found
% 13.97/2.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.97/2.33 % SZS output start CNFRefutation for theBenchmark
% 13.97/2.33 fof(f7,axiom,(
% 13.97/2.33 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 13.97/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.97/2.33 fof(f8,axiom,(
% 13.97/2.33 (! [A,B] :( preboolean(B)=> ( B = finite_subsets(A)<=> (! [C] :( in(C,B)<=> ( subset(C,A)& finite(C) ) ) )) ) )),
% 13.97/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.97/2.33 fof(f9,axiom,(
% 13.97/2.33 (! [A] : preboolean(finite_subsets(A)) )),
% 13.97/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.97/2.33 fof(f26,axiom,(
% 13.97/2.33 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 13.97/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.97/2.33 fof(f27,conjecture,(
% 13.97/2.33 (! [A,B] :( subset(A,B)=> subset(finite_subsets(A),finite_subsets(B)) ) )),
% 13.97/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.97/2.33 fof(f28,negated_conjecture,(
% 13.97/2.33 ~((! [A,B] :( subset(A,B)=> subset(finite_subsets(A),finite_subsets(B)) ) ))),
% 13.97/2.33 inference(negated_conjecture,[status(cth)],[f27])).
% 13.97/2.33 fof(f50,plain,(
% 13.97/2.33 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 13.97/2.33 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 13.97/2.33 fof(f51,plain,(
% 13.97/2.33 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 13.97/2.33 inference(NNF_transformation,[status(thm)],[f50])).
% 13.97/2.33 fof(f52,plain,(
% 13.97/2.33 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 13.97/2.33 inference(miniscoping,[status(thm)],[f51])).
% 13.97/2.33 fof(f53,plain,(
% 13.97/2.33 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 13.97/2.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f52])).
% 13.97/2.33 fof(f55,plain,(
% 13.97/2.33 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 13.97/2.33 inference(cnf_transformation,[status(thm)],[f53])).
% 13.97/2.33 fof(f56,plain,(
% 13.97/2.33 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 13.97/2.33 inference(cnf_transformation,[status(thm)],[f53])).
% 13.97/2.33 fof(f57,plain,(
% 13.97/2.33 ![A,B]: (~preboolean(B)|(B=finite_subsets(A)<=>(![C]: (in(C,B)<=>(subset(C,A)&finite(C))))))),
% 13.97/2.33 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 13.97/2.33 fof(f58,plain,(
% 13.97/2.33 ![A,B]: (~preboolean(B)|((~B=finite_subsets(A)|(![C]: ((~in(C,B)|(subset(C,A)&finite(C)))&(in(C,B)|(~subset(C,A)|~finite(C))))))&(B=finite_subsets(A)|(?[C]: ((~in(C,B)|(~subset(C,A)|~finite(C)))&(in(C,B)|(subset(C,A)&finite(C))))))))),
% 13.97/2.33 inference(NNF_transformation,[status(thm)],[f57])).
% 13.97/2.33 fof(f59,plain,(
% 13.97/2.33 ![B]: (~preboolean(B)|((![A]: (~B=finite_subsets(A)|((![C]: (~in(C,B)|(subset(C,A)&finite(C))))&(![C]: (in(C,B)|(~subset(C,A)|~finite(C)))))))&(![A]: (B=finite_subsets(A)|(?[C]: ((~in(C,B)|(~subset(C,A)|~finite(C)))&(in(C,B)|(subset(C,A)&finite(C)))))))))),
% 13.97/2.33 inference(miniscoping,[status(thm)],[f58])).
% 13.97/2.33 fof(f60,plain,(
% 13.97/2.33 ![B]: (~preboolean(B)|((![A]: (~B=finite_subsets(A)|((![C]: (~in(C,B)|(subset(C,A)&finite(C))))&(![C]: (in(C,B)|(~subset(C,A)|~finite(C)))))))&(![A]: (B=finite_subsets(A)|((~in(sK1_skl(A,B),B)|(~subset(sK1_skl(A,B),A)|~finite(sK1_skl(A,B))))&(in(sK1_skl(A,B),B)|(subset(sK1_skl(A,B),A)&finite(sK1_skl(A,B)))))))))),
% 13.97/2.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(A,B))],[f59])).
% 13.97/2.33 fof(f61,plain,(
% 13.97/2.33 ![X0,X1,X2]: (~preboolean(X0)|~X0=finite_subsets(X1)|~in(X2,X0)|subset(X2,X1))),
% 13.97/2.33 inference(cnf_transformation,[status(thm)],[f60])).
% 13.97/2.33 fof(f62,plain,(
% 13.97/2.33 ![X0,X1,X2]: (~preboolean(X0)|~X0=finite_subsets(X1)|~in(X2,X0)|finite(X2))),
% 13.97/2.33 inference(cnf_transformation,[status(thm)],[f60])).
% 13.97/2.33 fof(f63,plain,(
% 13.97/2.33 ![X0,X1,X2]: (~preboolean(X0)|~X0=finite_subsets(X1)|in(X2,X0)|~subset(X2,X1)|~finite(X2))),
% 13.97/2.33 inference(cnf_transformation,[status(thm)],[f60])).
% 13.97/2.33 fof(f67,plain,(
% 13.97/2.33 ![X0]: (preboolean(finite_subsets(X0)))),
% 13.97/2.33 inference(cnf_transformation,[status(thm)],[f9])).
% 13.97/2.33 fof(f127,plain,(
% 13.97/2.33 ![A,B,C]: ((~subset(A,B)|~subset(B,C))|subset(A,C))),
% 13.97/2.33 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 13.97/2.33 fof(f128,plain,(
% 13.97/2.33 ![A,C]: ((![B]: (~subset(A,B)|~subset(B,C)))|subset(A,C))),
% 13.97/2.33 inference(miniscoping,[status(thm)],[f127])).
% 13.97/2.33 fof(f129,plain,(
% 9.46/2.36 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 9.46/2.36 inference(cnf_transformation,[status(thm)],[f128])).
% 9.46/2.36 fof(f130,plain,(
% 9.46/2.36 (?[A,B]: (subset(A,B)&~subset(finite_subsets(A),finite_subsets(B))))),
% 9.46/2.36 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 9.46/2.36 fof(f131,plain,(
% 9.46/2.36 (subset(sK12_skl,sK13_skl)&~subset(finite_subsets(sK12_skl),finite_subsets(sK13_skl)))),
% 9.46/2.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(A,sK12_skl),skolemize(B,sK13_skl)],[f130])).
% 9.46/2.36 fof(f132,plain,(
% 9.46/2.36 subset(sK12_skl,sK13_skl)),
% 9.46/2.36 inference(cnf_transformation,[status(thm)],[f131])).
% 9.46/2.36 fof(f133,plain,(
% 9.46/2.36 ~subset(finite_subsets(sK12_skl),finite_subsets(sK13_skl))),
% 9.46/2.36 inference(cnf_transformation,[status(thm)],[f131])).
% 9.46/2.36 fof(f154,plain,(
% 9.46/2.36 ![X0,X1]: (~preboolean(finite_subsets(X0))|~in(X1,finite_subsets(X0))|subset(X1,X0))),
% 9.46/2.36 inference(destructive_equality_resolution,[status(thm)],[f61])).
% 9.46/2.36 fof(f155,plain,(
% 9.46/2.36 ![X0,X1]: (~preboolean(finite_subsets(X0))|~in(X1,finite_subsets(X0))|finite(X1))),
% 9.46/2.36 inference(destructive_equality_resolution,[status(thm)],[f62])).
% 9.46/2.36 fof(f156,plain,(
% 9.46/2.36 ![X0,X1]: (~preboolean(finite_subsets(X0))|in(X1,finite_subsets(X0))|~subset(X1,X0)|~finite(X1))),
% 9.46/2.36 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 9.46/2.36 fof(f161,plain,(
% 9.46/2.36 ![X0]: (~subset(X0,sK12_skl)|subset(X0,sK13_skl))),
% 9.46/2.36 inference(resolution,[status(thm)],[f129,f132])).
% 9.46/2.36 fof(f312,plain,(
% 9.46/2.36 ![X0,X1]: (~in(X0,finite_subsets(X1))|subset(X0,X1))),
% 9.46/2.36 inference(forward_subsumption_resolution,[status(thm)],[f154,f67])).
% 9.46/2.36 fof(f314,plain,(
% 9.46/2.36 ![X0,X1]: (subset(sK0_skl(X0,finite_subsets(X1)),X1)|subset(finite_subsets(X1),X0))),
% 9.46/2.36 inference(resolution,[status(thm)],[f312,f55])).
% 9.46/2.36 fof(f315,plain,(
% 9.46/2.36 ![X0,X1]: (~in(X0,finite_subsets(X1))|finite(X0))),
% 9.46/2.36 inference(forward_subsumption_resolution,[status(thm)],[f155,f67])).
% 9.46/2.36 fof(f317,plain,(
% 9.46/2.36 ![X0,X1]: (finite(sK0_skl(X0,finite_subsets(X1)))|subset(finite_subsets(X1),X0))),
% 9.46/2.36 inference(resolution,[status(thm)],[f315,f55])).
% 9.46/2.36 fof(f318,plain,(
% 9.46/2.36 ![X0,X1]: (in(X0,finite_subsets(X1))|~subset(X0,X1)|~finite(X0))),
% 9.46/2.36 inference(forward_subsumption_resolution,[status(thm)],[f156,f67])).
% 9.46/2.36 fof(f685,plain,(
% 9.46/2.36 ![X0]: (subset(finite_subsets(sK12_skl),X0)|subset(sK0_skl(X0,finite_subsets(sK12_skl)),sK13_skl))),
% 9.46/2.36 inference(resolution,[status(thm)],[f314,f161])).
% 9.46/2.36 fof(f702,plain,(
% 9.46/2.36 ![X0]: (subset(finite_subsets(sK12_skl),X0)|in(sK0_skl(X0,finite_subsets(sK12_skl)),finite_subsets(sK13_skl))|~finite(sK0_skl(X0,finite_subsets(sK12_skl))))),
% 9.46/2.36 inference(resolution,[status(thm)],[f685,f318])).
% 9.46/2.36 fof(f7199,plain,(
% 9.46/2.36 ![X0]: (subset(finite_subsets(sK12_skl),X0)|in(sK0_skl(X0,finite_subsets(sK12_skl)),finite_subsets(sK13_skl)))),
% 9.46/2.36 inference(forward_subsumption_resolution,[status(thm)],[f702,f317])).
% 9.46/2.36 fof(f7200,plain,(
% 9.46/2.36 subset(finite_subsets(sK12_skl),finite_subsets(sK13_skl))|subset(finite_subsets(sK12_skl),finite_subsets(sK13_skl))),
% 9.46/2.36 inference(resolution,[status(thm)],[f7199,f56])).
% 9.46/2.36 fof(f7207,plain,(
% 9.46/2.36 subset(finite_subsets(sK12_skl),finite_subsets(sK13_skl))),
% 9.46/2.36 inference(duplicate_literals_removal,[status(thm)],[f7200])).
% 9.46/2.36 fof(f7208,plain,(
% 9.46/2.36 $false),
% 9.46/2.36 inference(forward_subsumption_resolution,[status(thm)],[f7207,f133])).
% 9.46/2.36 % SZS output end CNFRefutation for theBenchmark.p
% 9.46/2.37 % Elapsed time: 1.911901 seconds
% 9.46/2.37 % CPU time: 14.577973 seconds
% 9.46/2.37 % Total memory used: 134.669 MB
% 9.46/2.37 % Net memory used: 121.065 MB
%------------------------------------------------------------------------------