%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU117+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 : n011.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 02:21:42 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU117+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:51:25 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f4,axiom,(
% 0.09/0.39 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,axiom,(
% 0.09/0.39 (! [A] : preboolean(finite_subsets(A)) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,axiom,(
% 0.09/0.39 (! [A] :( ~ empty(finite_subsets(A))& cup_closed(finite_subsets(A))& diff_closed(finite_subsets(A))& preboolean(finite_subsets(A)) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f28,axiom,(
% 0.09/0.39 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f31,conjecture,(
% 0.09/0.39 (! [A,B] :( element(B,finite_subsets(A))=> element(B,powerset(A)) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f32,negated_conjecture,(
% 0.09/0.39 ~((! [A,B] :( element(B,finite_subsets(A))=> element(B,powerset(A)) ) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f31])).
% 0.09/0.39 fof(f33,axiom,(
% 0.09/0.39 (! [A,B] :( preboolean(B)=> ( B = finite_subsets(A)<=> (! [C] :( in(C,B)<=> ( subset(C,A)& finite(C) ) ) )) ) )),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.39 fof(f55,plain,(
% 0.09/0.39 ![X0]: (preboolean(finite_subsets(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f61,plain,(
% 0.09/0.39 (((![A]: ~empty(finite_subsets(A)))&(![A]: cup_closed(finite_subsets(A))))&(![A]: diff_closed(finite_subsets(A))))&(![A]: preboolean(finite_subsets(A)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.39 fof(f62,plain,(
% 0.09/0.39 ![X0]: (~empty(finite_subsets(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f61])).
% 0.09/0.39 fof(f118,plain,(
% 0.09/0.39 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f28])).
% 0.09/0.39 fof(f119,plain,(
% 0.09/0.39 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f118])).
% 0.09/0.39 fof(f121,plain,(
% 0.09/0.39 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f119])).
% 0.09/0.39 fof(f128,plain,(
% 0.09/0.39 (?[A,B]: (element(B,finite_subsets(A))&~element(B,powerset(A))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.09/0.39 fof(f129,plain,(
% 0.09/0.39 (element(sK11_skl,finite_subsets(sK10_skl))&~element(sK11_skl,powerset(sK10_skl)))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(A,sK10_skl),skolemize(B,sK11_skl)],[f128])).
% 0.09/0.39 fof(f130,plain,(
% 0.09/0.39 element(sK11_skl,finite_subsets(sK10_skl))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.09/0.39 fof(f131,plain,(
% 0.09/0.39 ~element(sK11_skl,powerset(sK10_skl))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.09/0.39 fof(f132,plain,(
% 0.09/0.39 ![A,B]: (~preboolean(B)|(B=finite_subsets(A)<=>(![C]: (in(C,B)<=>(subset(C,A)&finite(C))))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.09/0.39 fof(f133,plain,(
% 0.09/0.39 ![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))))))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f132])).
% 0.09/0.39 fof(f134,plain,(
% 0.09/0.39 ![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)))))))))),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f133])).
% 0.09/0.39 fof(f135,plain,(
% 0.09/0.39 ![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(sK12_skl(A,B),B)|(~subset(sK12_skl(A,B),A)|~finite(sK12_skl(A,B))))&(in(sK12_skl(A,B),B)|(subset(sK12_skl(A,B),A)&finite(sK12_skl(A,B)))))))))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(C,sK12_skl(A,B))],[f134])).
% 0.09/0.40 fof(f136,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~preboolean(X0)|~X0=finite_subsets(X1)|~in(X2,X0)|subset(X2,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f135])).
% 0.09/0.40 fof(f142,plain,(
% 0.09/0.40 ![X0,X1]: (~preboolean(finite_subsets(X0))|~in(X1,finite_subsets(X0))|subset(X1,X0))),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f136])).
% 0.09/0.40 fof(f146,plain,(
% 0.09/0.40 empty(finite_subsets(sK10_skl))|in(sK11_skl,finite_subsets(sK10_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f40,f130])).
% 0.09/0.40 fof(f147,plain,(
% 0.09/0.40 in(sK11_skl,finite_subsets(sK10_skl))),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f146,f62])).
% 0.09/0.40 fof(f247,plain,(
% 0.09/0.40 ![X0,X1]: (~in(X0,finite_subsets(X1))|subset(X0,X1))),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f142,f55])).
% 0.09/0.40 fof(f248,plain,(
% 0.09/0.40 subset(sK11_skl,sK10_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f247,f147])).
% 0.09/0.40 fof(f254,plain,(
% 0.09/0.40 element(sK11_skl,powerset(sK10_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f248,f121])).
% 0.09/0.40 fof(f255,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f254,f131])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.073057 seconds
% 0.15/0.43 % CPU time: 0.098163 seconds
% 0.15/0.43 % Total memory used: 13.026 MB
% 0.15/0.43 % Net memory used: 13.005 MB
%------------------------------------------------------------------------------