%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU354+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:22:24 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU354+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 06:14:21 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f17,axiom,(
% 0.14/0.38 (! [A,B] :( element(B,A)=> ( proper_element(B,A)<=> B != union(A) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f30,axiom,(
% 0.14/0.38 (! [A] :(? [B] :( element(B,powerset(A))& ~ proper_element(B,powerset(A)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f39,conjecture,(
% 0.14/0.38 (! [A,B] :( element(B,powerset(A))=> ( proper_element(B,powerset(A))<=> B != A ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f40,negated_conjecture,(
% 0.14/0.38 ~((! [A,B] :( element(B,powerset(A))=> ( proper_element(B,powerset(A))<=> B != A ) ) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f39])).
% 0.14/0.38 fof(f44,axiom,(
% 0.14/0.38 (! [A] : union(powerset(A)) = A )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 ![A,B]: (~element(B,A)|(proper_element(B,A)<=>~B=union(A)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.14/0.38 fof(f102,plain,(
% 0.14/0.38 ![A,B]: (~element(B,A)|((~proper_element(B,A)|~B=union(A))&(proper_element(B,A)|B=union(A))))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f101])).
% 0.14/0.38 fof(f104,plain,(
% 0.14/0.38 ![X0,X1]: (~element(X0,X1)|proper_element(X0,X1)|X0=union(X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f102])).
% 0.14/0.38 fof(f131,plain,(
% 0.14/0.38 ![A]: (element(sK4_skl(A),powerset(A))&~proper_element(sK4_skl(A),powerset(A)))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(B,sK4_skl(A))],[f30])).
% 0.14/0.38 fof(f132,plain,(
% 0.14/0.38 ![X0]: (element(sK4_skl(X0),powerset(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f131])).
% 0.14/0.38 fof(f133,plain,(
% 0.14/0.38 ![X0]: (~proper_element(sK4_skl(X0),powerset(X0)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f131])).
% 0.14/0.38 fof(f153,plain,(
% 0.14/0.38 (?[A,B]: (element(B,powerset(A))&(proper_element(B,powerset(A))<~>~B=A)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.14/0.38 fof(f154,plain,(
% 0.14/0.38 ?[A,B]: (element(B,powerset(A))&((proper_element(B,powerset(A))|~B=A)&(~proper_element(B,powerset(A))|B=A)))),
% 0.14/0.38 inference(NNF_transformation,[status(thm)],[f153])).
% 0.14/0.38 fof(f155,plain,(
% 0.14/0.38 (element(sK6_skl,powerset(sK5_skl))&((proper_element(sK6_skl,powerset(sK5_skl))|~sK6_skl=sK5_skl)&(~proper_element(sK6_skl,powerset(sK5_skl))|sK6_skl=sK5_skl)))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(A,sK5_skl),skolemize(B,sK6_skl)],[f154])).
% 0.14/0.38 fof(f156,plain,(
% 0.14/0.38 element(sK6_skl,powerset(sK5_skl))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f155])).
% 0.14/0.38 fof(f157,plain,(
% 0.14/0.38 proper_element(sK6_skl,powerset(sK5_skl))|~sK6_skl=sK5_skl),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f155])).
% 0.14/0.38 fof(f158,plain,(
% 0.14/0.38 ~proper_element(sK6_skl,powerset(sK5_skl))|sK6_skl=sK5_skl),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f155])).
% 0.14/0.38 fof(f167,plain,(
% 0.14/0.38 ![X0]: (union(powerset(X0))=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.38 fof(f298,plain,(
% 0.14/0.38 ![X0]: (~element(sK4_skl(X0),powerset(X0))|sK4_skl(X0)=union(powerset(X0)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f104,f133])).
% 0.14/0.38 fof(f299,plain,(
% 0.14/0.38 ~element(sK6_skl,powerset(sK5_skl))|sK6_skl=union(powerset(sK5_skl))|sK6_skl=sK5_skl),
% 0.14/0.38 inference(resolution,[status(thm)],[f104,f158])).
% 0.14/0.38 fof(f300,plain,(
% 0.14/0.38 ![X0]: (~element(sK4_skl(X0),powerset(X0))|sK4_skl(X0)=X0)),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f167,f298])).
% 0.14/0.38 fof(f301,plain,(
% 0.14/0.38 ![X0]: (~proper_element(X0,powerset(X0)))),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f314,f133])).
% 0.14/0.38 fof(f314,plain,(
% 0.14/0.38 ![X0]: (sK4_skl(X0)=X0)),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f300,f132])).
% 0.14/0.38 fof(f315,plain,(
% 0.14/0.38 ~element(sK6_skl,powerset(sK5_skl))|sK6_skl=sK5_skl|sK6_skl=sK5_skl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f167,f299])).
% 0.14/0.38 fof(f316,plain,(
% 0.14/0.38 ~element(sK6_skl,powerset(sK5_skl))|sK6_skl=sK5_skl),
% 0.14/0.38 inference(duplicate_literals_removal,[status(thm)],[f315])).
% 0.14/0.38 fof(f329,plain,(
% 0.14/0.38 proper_element(sK6_skl,powerset(sK5_skl))|~sK5_skl=sK5_skl),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f331,f157])).
% 0.14/0.38 fof(f331,plain,(
% 0.14/0.38 sK6_skl=sK5_skl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f316,f156])).
% 0.14/0.38 fof(f332,plain,(
% 0.14/0.38 proper_element(sK5_skl,powerset(sK5_skl))|~sK5_skl=sK5_skl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f331,f329])).
% 0.14/0.38 fof(f333,plain,(
% 0.14/0.38 proper_element(sK5_skl,powerset(sK5_skl))),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f332])).
% 0.14/0.38 fof(f334,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f333,f301])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.038953 seconds
% 0.14/0.40 % CPU time: 0.107596 seconds
% 0.14/0.40 % Total memory used: 23.599 MB
% 0.14/0.40 % Net memory used: 23.510 MB
%------------------------------------------------------------------------------