%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU118+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.08s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU118+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.51 % Computer : n007.cluster.edu
% 0.08/0.51 % Model : x86_64 x86_64
% 0.08/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51 % Memory : 8046.5625MB
% 0.08/0.51 % OS : Linux 6.8.0-71-generic
% 0.08/0.51 % CPULimit : 300
% 0.08/0.51 % WCLimit : 300
% 0.08/0.51 % DateTime : Mon Sep 21 05:49:21 UTC 2026
% 0.08/0.51 % CPUTime :
% 0.08/0.52 % Drodi V4.1.1
% 0.08/0.55 % Refutation found
% 0.08/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.55 fof(f4,axiom,(
% 0.08/0.55 (! [A] :( finite(A)=> (! [B] :( element(B,powerset(A))=> finite(B) ) )) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f7,axiom,(
% 0.08/0.55 (! [A,B] :( preboolean(B)=> ( B = finite_subsets(A)<=> (! [C] :( in(C,B)<=> ( subset(C,A)& finite(C) ) ) )) ) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f8,axiom,(
% 0.08/0.55 (! [A] : preboolean(finite_subsets(A)) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f25,axiom,(
% 0.08/0.55 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f27,conjecture,(
% 0.08/0.55 (! [A,B] :( element(B,powerset(A))=> ( finite(A)=> element(B,finite_subsets(A)) ) ) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f28,negated_conjecture,(
% 0.08/0.55 ~((! [A,B] :( element(B,powerset(A))=> ( finite(A)=> element(B,finite_subsets(A)) ) ) ))),
% 0.08/0.55 inference(negated_conjecture,[status(cth)],[f27])).
% 0.08/0.55 fof(f29,axiom,(
% 0.08/0.55 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.08/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.55 fof(f42,plain,(
% 0.08/0.55 ![A]: (~finite(A)|(![B]: (~element(B,powerset(A))|finite(B))))),
% 0.08/0.55 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/0.55 fof(f43,plain,(
% 0.08/0.55 ![X0,X1]: (~finite(X0)|~element(X1,powerset(X0))|finite(X1))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f42])).
% 0.08/0.55 fof(f49,plain,(
% 0.08/0.55 ![A,B]: (~preboolean(B)|(B=finite_subsets(A)<=>(![C]: (in(C,B)<=>(subset(C,A)&finite(C))))))),
% 0.08/0.55 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/0.55 fof(f50,plain,(
% 0.08/0.55 ![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))))))))),
% 0.08/0.55 inference(NNF_transformation,[status(thm)],[f49])).
% 0.08/0.55 fof(f51,plain,(
% 0.08/0.55 ![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)))))))))),
% 0.08/0.55 inference(miniscoping,[status(thm)],[f50])).
% 0.08/0.55 fof(f52,plain,(
% 0.08/0.55 ![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(sK0_skl(A,B),B)|(~subset(sK0_skl(A,B),A)|~finite(sK0_skl(A,B))))&(in(sK0_skl(A,B),B)|(subset(sK0_skl(A,B),A)&finite(sK0_skl(A,B)))))))))),
% 0.08/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(A,B))],[f51])).
% 0.08/0.55 fof(f55,plain,(
% 0.08/0.55 ![X0,X1,X2]: (~preboolean(X0)|~X0=finite_subsets(X1)|in(X2,X0)|~subset(X2,X1)|~finite(X2))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f52])).
% 0.08/0.55 fof(f59,plain,(
% 0.08/0.55 ![X0]: (preboolean(finite_subsets(X0)))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.55 fof(f120,plain,(
% 0.08/0.55 ![A,B]: (~in(A,B)|element(A,B))),
% 0.08/0.55 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.08/0.55 fof(f121,plain,(
% 0.08/0.55 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f120])).
% 0.08/0.55 fof(f124,plain,(
% 0.08/0.55 (?[A,B]: (element(B,powerset(A))&(finite(A)&~element(B,finite_subsets(A)))))),
% 0.08/0.55 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.08/0.55 fof(f125,plain,(
% 0.08/0.55 (element(sK12_skl,powerset(sK11_skl))&(finite(sK11_skl)&~element(sK12_skl,finite_subsets(sK11_skl))))),
% 0.08/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl]),skolemize(A,sK11_skl),skolemize(B,sK12_skl)],[f124])).
% 0.08/0.55 fof(f126,plain,(
% 0.08/0.55 element(sK12_skl,powerset(sK11_skl))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f125])).
% 0.08/0.55 fof(f127,plain,(
% 0.08/0.55 finite(sK11_skl)),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f125])).
% 0.08/0.55 fof(f128,plain,(
% 0.08/0.55 ~element(sK12_skl,finite_subsets(sK11_skl))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f125])).
% 0.08/0.55 fof(f129,plain,(
% 0.08/0.55 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.08/0.55 inference(NNF_transformation,[status(thm)],[f29])).
% 0.08/0.55 fof(f130,plain,(
% 0.08/0.55 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.08/0.55 inference(miniscoping,[status(thm)],[f129])).
% 0.08/0.55 fof(f131,plain,(
% 0.08/0.55 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 0.08/0.55 inference(cnf_transformation,[status(thm)],[f130])).
% 0.08/0.55 fof(f149,plain,(
% 0.08/0.55 ![X0,X1]: (~preboolean(finite_subsets(X0))|in(X1,finite_subsets(X0))|~subset(X1,X0)|~finite(X1))),
% 0.08/0.55 inference(destructive_equality_resolution,[status(thm)],[f55])).
% 0.08/0.55 fof(f150,plain,(
% 0.08/0.55 ![X0,X1]: (in(X0,finite_subsets(X1))|~subset(X0,X1)|~finite(X0))),
% 0.08/0.55 inference(backward_subsumption_resolution,[status(thm)],[f149,f59])).
% 0.08/0.55 fof(f153,plain,(
% 0.08/0.55 ![X0]: (~element(X0,powerset(sK11_skl))|finite(X0))),
% 0.08/0.55 inference(resolution,[status(thm)],[f43,f127])).
% 0.08/0.55 fof(f154,plain,(
% 0.08/0.55 finite(sK12_skl)),
% 0.08/0.55 inference(resolution,[status(thm)],[f153,f126])).
% 0.08/0.55 fof(f332,plain,(
% 0.08/0.55 subset(sK12_skl,sK11_skl)),
% 0.08/0.55 inference(resolution,[status(thm)],[f131,f126])).
% 0.08/0.55 fof(f337,plain,(
% 0.08/0.55 in(sK12_skl,finite_subsets(sK11_skl))|~finite(sK12_skl)),
% 0.08/0.55 inference(resolution,[status(thm)],[f332,f150])).
% 0.08/0.55 fof(f338,plain,(
% 0.08/0.55 in(sK12_skl,finite_subsets(sK11_skl))),
% 0.08/0.55 inference(forward_subsumption_resolution,[status(thm)],[f337,f154])).
% 0.08/0.55 fof(f374,plain,(
% 0.08/0.55 element(sK12_skl,finite_subsets(sK11_skl))),
% 0.08/0.55 inference(resolution,[status(thm)],[f338,f121])).
% 0.08/0.55 fof(f376,plain,(
% 0.08/0.55 $false),
% 0.08/0.55 inference(forward_subsumption_resolution,[status(thm)],[f374,f128])).
% 0.08/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.58 % Elapsed time: 0.057552 seconds
% 0.15/0.58 % CPU time: 0.177686 seconds
% 0.15/0.58 % Total memory used: 82.635 MB
% 0.15/0.58 % Net memory used: 82.534 MB
%------------------------------------------------------------------------------