%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU341+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:22:22 PM UTC 2026
% Result : Theorem 0.02s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU341+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 06:18:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.02/0.38 % Drodi V4.1.1
% 0.02/0.41 % Refutation found
% 0.02/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.41 fof(f17,axiom,(
% 0.02/0.41 (! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,powerset(the_carrier(A)))=> ( point_neighbourhood(C,A,B)<=> in(B,interior(A,C)) ) ) )) )) )),
% 0.02/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.41 fof(f40,axiom,(
% 0.02/0.41 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( top_str(B)=> (! [C] :( element(C,powerset(the_carrier(A)))=> (! [D] :( element(D,powerset(the_carrier(B)))=> ( ( open_subset(D,B)=> interior(B,D) = D )& ( interior(A,C) = C=> open_subset(C,A) ) ) ) )) )) )) )),
% 0.02/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.41 fof(f41,conjecture,(
% 0.02/0.41 (! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> (! [C] :( element(C,the_carrier(A))=> ( ( open_subset(B,A)& in(C,B) )=> point_neighbourhood(B,A,C) ) ) )) )) )),
% 0.02/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.41 fof(f42,negated_conjecture,(
% 0.02/0.41 ~((! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> (! [C] :( element(C,the_carrier(A))=> ( ( open_subset(B,A)& in(C,B) )=> point_neighbourhood(B,A,C) ) ) )) )) ))),
% 0.02/0.41 inference(negated_conjecture,[status(cth)],[f41])).
% 0.02/0.41 fof(f103,plain,(
% 0.02/0.41 ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,powerset(the_carrier(A)))|(point_neighbourhood(C,A,B)<=>in(B,interior(A,C))))))))),
% 0.02/0.41 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.02/0.41 fof(f104,plain,(
% 0.02/0.41 ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,powerset(the_carrier(A)))|((~point_neighbourhood(C,A,B)|in(B,interior(A,C)))&(point_neighbourhood(C,A,B)|~in(B,interior(A,C)))))))))),
% 0.02/0.41 inference(NNF_transformation,[status(thm)],[f103])).
% 0.02/0.41 fof(f106,plain,(
% 0.02/0.41 ![X0,X1,X2]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~element(X1,the_carrier(X0))|~element(X2,powerset(the_carrier(X0)))|point_neighbourhood(X2,X0,X1)|~in(X1,interior(X0,X2)))),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f104])).
% 0.02/0.41 fof(f156,plain,(
% 0.02/0.41 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~top_str(B)|(![C]: (~element(C,powerset(the_carrier(A)))|(![D]: (~element(D,powerset(the_carrier(B)))|((~open_subset(D,B)|interior(B,D)=D)&(~interior(A,C)=C|open_subset(C,A))))))))))),
% 0.02/0.41 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.02/0.41 fof(f157,plain,(
% 0.02/0.41 ![X0,X1,X2,X3]: (~topological_space(X0)|~top_str(X0)|~top_str(X1)|~element(X2,powerset(the_carrier(X0)))|~element(X3,powerset(the_carrier(X1)))|~open_subset(X3,X1)|interior(X1,X3)=X3)),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f156])).
% 0.02/0.41 fof(f159,plain,(
% 0.02/0.41 (?[A]: (((~empty_carrier(A)&topological_space(A))&top_str(A))&(?[B]: (element(B,powerset(the_carrier(A)))&(?[C]: (element(C,the_carrier(A))&((open_subset(B,A)&in(C,B))&~point_neighbourhood(B,A,C))))))))),
% 0.02/0.41 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.02/0.41 fof(f160,plain,(
% 0.02/0.41 (((~empty_carrier(sK7_skl)&topological_space(sK7_skl))&top_str(sK7_skl))&(element(sK8_skl,powerset(the_carrier(sK7_skl)))&(element(sK9_skl,the_carrier(sK7_skl))&((open_subset(sK8_skl,sK7_skl)&in(sK9_skl,sK8_skl))&~point_neighbourhood(sK8_skl,sK7_skl,sK9_skl)))))),
% 0.02/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(A,sK7_skl),skolemize(B,sK8_skl),skolemize(C,sK9_skl)],[f159])).
% 0.02/0.41 fof(f161,plain,(
% 0.02/0.41 ~empty_carrier(sK7_skl)),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f160])).
% 0.02/0.41 fof(f162,plain,(
% 0.02/0.41 topological_space(sK7_skl)),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f160])).
% 0.02/0.41 fof(f163,plain,(
% 0.02/0.41 top_str(sK7_skl)),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f160])).
% 0.02/0.41 fof(f164,plain,(
% 0.02/0.41 element(sK8_skl,powerset(the_carrier(sK7_skl)))),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f160])).
% 0.02/0.41 fof(f165,plain,(
% 0.02/0.41 element(sK9_skl,the_carrier(sK7_skl))),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f160])).
% 0.02/0.41 fof(f166,plain,(
% 0.02/0.41 open_subset(sK8_skl,sK7_skl)),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f160])).
% 0.02/0.41 fof(f167,plain,(
% 0.02/0.41 in(sK9_skl,sK8_skl)),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f160])).
% 0.02/0.41 fof(f168,plain,(
% 0.02/0.41 ~point_neighbourhood(sK8_skl,sK7_skl,sK9_skl)),
% 0.02/0.41 inference(cnf_transformation,[status(thm)],[f160])).
% 0.02/0.41 fof(f204,plain,(
% 0.02/0.41 ![X0,X1,X2]: (~top_str(sK7_skl)|~top_str(X0)|~element(X1,powerset(the_carrier(sK7_skl)))|~element(X2,powerset(the_carrier(X0)))|~open_subset(X2,X0)|interior(X0,X2)=X2)),
% 0.02/0.41 inference(resolution,[status(thm)],[f157,f162])).
% 0.02/0.41 fof(f205,plain,(
% 0.02/0.41 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(the_carrier(sK7_skl)))|~element(X2,powerset(the_carrier(X0)))|~open_subset(X2,X0)|interior(X0,X2)=X2)),
% 0.02/0.41 inference(forward_subsumption_resolution,[status(thm)],[f204,f163])).
% 0.02/0.41 fof(f225,plain,(
% 0.02/0.41 ![X0]: (~top_str(sK7_skl)|~element(X0,powerset(the_carrier(sK7_skl)))|~element(sK8_skl,powerset(the_carrier(sK7_skl)))|interior(sK7_skl,sK8_skl)=sK8_skl)),
% 0.02/0.41 inference(resolution,[status(thm)],[f205,f166])).
% 0.02/0.41 fof(f226,plain,(
% 0.02/0.41 ![X0]: (~element(X0,powerset(the_carrier(sK7_skl)))|~element(sK8_skl,powerset(the_carrier(sK7_skl)))|interior(sK7_skl,sK8_skl)=sK8_skl)),
% 0.02/0.41 inference(forward_subsumption_resolution,[status(thm)],[f225,f163])).
% 0.02/0.41 fof(f227,plain,(
% 0.02/0.41 ![X0]: (~element(X0,powerset(the_carrier(sK7_skl)))|interior(sK7_skl,sK8_skl)=sK8_skl)),
% 0.02/0.41 inference(resolution,[status(thm)],[f226,f164])).
% 0.02/0.41 fof(f229,plain,(
% 0.02/0.41 interior(sK7_skl,sK8_skl)=sK8_skl),
% 0.02/0.41 inference(resolution,[status(thm)],[f227,f164])).
% 0.02/0.41 fof(f232,plain,(
% 0.02/0.41 ![X0]: (empty_carrier(sK7_skl)|~topological_space(sK7_skl)|~top_str(sK7_skl)|~element(X0,the_carrier(sK7_skl))|~element(sK8_skl,powerset(the_carrier(sK7_skl)))|point_neighbourhood(sK8_skl,sK7_skl,X0)|~in(X0,sK8_skl))),
% 0.02/0.41 inference(paramodulation,[status(thm)],[f229,f106])).
% 0.02/0.41 fof(f233,plain,(
% 0.02/0.41 ![X0]: (~topological_space(sK7_skl)|~top_str(sK7_skl)|~element(X0,the_carrier(sK7_skl))|~element(sK8_skl,powerset(the_carrier(sK7_skl)))|point_neighbourhood(sK8_skl,sK7_skl,X0)|~in(X0,sK8_skl))),
% 0.02/0.41 inference(forward_subsumption_resolution,[status(thm)],[f232,f161])).
% 0.02/0.41 fof(f239,plain,(
% 0.02/0.41 ![X0]: (~top_str(sK7_skl)|~element(X0,the_carrier(sK7_skl))|~element(sK8_skl,powerset(the_carrier(sK7_skl)))|point_neighbourhood(sK8_skl,sK7_skl,X0)|~in(X0,sK8_skl))),
% 0.02/0.41 inference(resolution,[status(thm)],[f233,f162])).
% 0.02/0.41 fof(f240,plain,(
% 0.02/0.41 ![X0]: (~element(X0,the_carrier(sK7_skl))|~element(sK8_skl,powerset(the_carrier(sK7_skl)))|point_neighbourhood(sK8_skl,sK7_skl,X0)|~in(X0,sK8_skl))),
% 0.02/0.41 inference(forward_subsumption_resolution,[status(thm)],[f239,f163])).
% 0.02/0.41 fof(f241,plain,(
% 0.02/0.41 ~element(sK9_skl,the_carrier(sK7_skl))|~element(sK8_skl,powerset(the_carrier(sK7_skl)))|point_neighbourhood(sK8_skl,sK7_skl,sK9_skl)),
% 0.02/0.41 inference(resolution,[status(thm)],[f240,f167])).
% 0.02/0.41 fof(f242,plain,(
% 0.02/0.41 ~element(sK8_skl,powerset(the_carrier(sK7_skl)))|point_neighbourhood(sK8_skl,sK7_skl,sK9_skl)),
% 0.02/0.41 inference(forward_subsumption_resolution,[status(thm)],[f241,f165])).
% 0.02/0.41 fof(f243,plain,(
% 0.02/0.41 point_neighbourhood(sK8_skl,sK7_skl,sK9_skl)),
% 0.02/0.41 inference(resolution,[status(thm)],[f242,f164])).
% 0.02/0.41 fof(f245,plain,(
% 0.02/0.41 $false),
% 0.02/0.41 inference(forward_subsumption_resolution,[status(thm)],[f243,f168])).
% 0.02/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.45 % Elapsed time: 0.056260 seconds
% 0.02/0.45 % CPU time: 0.148835 seconds
% 0.02/0.45 % Total memory used: 83.175 MB
% 0.02/0.45 % Net memory used: 83.133 MB
%------------------------------------------------------------------------------