TSTP Solution File: SEU341+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:45 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:29:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f17,axiom,(
% 0.13/0.36 (! [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)) ) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f36,axiom,(
% 0.13/0.36 (! [A,B] :( in(A,B)=> element(A,B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f37,axiom,(
% 0.13/0.36 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f40,axiom,(
% 0.13/0.36 (! [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) ) ) ) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f41,conjecture,(
% 0.13/0.36 (! [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) ) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f42,negated_conjecture,(
% 0.13/0.36 ~((! [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) ) ) )) )) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f41])).
% 0.13/0.36 fof(f45,axiom,(
% 0.13/0.36 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f103,plain,(
% 0.13/0.36 ![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))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.13/0.36 fof(f104,plain,(
% 0.13/0.36 ![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)))))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f103])).
% 0.13/0.36 fof(f106,plain,(
% 0.13/0.36 ![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)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f104])).
% 0.13/0.36 fof(f145,plain,(
% 0.13/0.36 ![A,B]: (~in(A,B)|element(A,B))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.13/0.36 fof(f146,plain,(
% 0.13/0.36 ![X0,X1]: (~in(X0,X1)|element(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f145])).
% 0.13/0.36 fof(f147,plain,(
% 0.13/0.36 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.13/0.36 fof(f148,plain,(
% 0.13/0.36 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f147])).
% 0.13/0.36 fof(f156,plain,(
% 0.13/0.36 ![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))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f157,plain,(
% 0.13/0.36 ![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)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f156])).
% 0.13/0.36 fof(f159,plain,(
% 0.13/0.36 (?[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))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.13/0.36 fof(f160,plain,(
% 0.13/0.36 (((~empty_carrier(sk0_7)&topological_space(sk0_7))&top_str(sk0_7))&(element(sk0_8,powerset(the_carrier(sk0_7)))&(element(sk0_9,the_carrier(sk0_7))&((open_subset(sk0_8,sk0_7)&in(sk0_9,sk0_8))&~point_neighbourhood(sk0_8,sk0_7,sk0_9)))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f159])).
% 0.13/0.36 fof(f161,plain,(
% 0.13/0.36 ~empty_carrier(sk0_7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.36 fof(f162,plain,(
% 0.13/0.36 topological_space(sk0_7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.36 fof(f163,plain,(
% 0.13/0.36 top_str(sk0_7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.36 fof(f164,plain,(
% 0.13/0.36 element(sk0_8,powerset(the_carrier(sk0_7)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.36 fof(f165,plain,(
% 0.13/0.36 element(sk0_9,the_carrier(sk0_7))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.36 fof(f166,plain,(
% 0.13/0.36 open_subset(sk0_8,sk0_7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.36 fof(f167,plain,(
% 0.13/0.36 in(sk0_9,sk0_8)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.36 fof(f168,plain,(
% 0.13/0.36 ~point_neighbourhood(sk0_8,sk0_7,sk0_9)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f160])).
% 0.13/0.36 fof(f174,plain,(
% 0.13/0.36 ![A,B]: (~in(A,B)|~empty(B))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.13/0.36 fof(f175,plain,(
% 0.13/0.36 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f174])).
% 0.13/0.36 fof(f176,plain,(
% 0.13/0.36 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f175])).
% 0.13/0.36 fof(f180,plain,(
% 0.13/0.36 spl0_0 <=> ~topological_space(X0)|~top_str(X0)|~element(X2,powerset(the_carrier(X0)))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f181,plain,(
% 0.13/0.36 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~spl0_0)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f180])).
% 0.13/0.36 fof(f183,plain,(
% 0.13/0.36 spl0_1 <=> ~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~open_subset(X3,X1)|interior(X1,X3)=X3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f184,plain,(
% 0.13/0.36 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|interior(X0,X1)=X1|~spl0_1)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f183])).
% 0.13/0.36 fof(f186,plain,(
% 0.13/0.36 spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f157,f180,f183])).
% 0.13/0.36 fof(f194,plain,(
% 0.13/0.36 ~empty(sk0_8)),
% 0.13/0.36 inference(resolution,[status(thm)],[f176,f167])).
% 0.13/0.36 fof(f196,plain,(
% 0.13/0.36 element(sk0_9,sk0_8)),
% 0.13/0.36 inference(resolution,[status(thm)],[f146,f167])).
% 0.13/0.36 fof(f205,plain,(
% 0.13/0.36 spl0_6 <=> empty(sk0_8)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f206,plain,(
% 0.13/0.36 empty(sk0_8)|~spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f205])).
% 0.13/0.36 fof(f208,plain,(
% 0.13/0.36 spl0_7 <=> in(sk0_9,sk0_8)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f211,plain,(
% 0.13/0.36 empty(sk0_8)|in(sk0_9,sk0_8)),
% 0.13/0.36 inference(resolution,[status(thm)],[f148,f196])).
% 0.13/0.36 fof(f212,plain,(
% 0.13/0.36 spl0_6|spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f211,f205,f208])).
% 0.13/0.36 fof(f221,plain,(
% 0.13/0.36 $false|~spl0_6),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f206,f194])).
% 0.13/0.36 fof(f222,plain,(
% 0.13/0.36 ~spl0_6),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f221])).
% 0.13/0.36 fof(f228,plain,(
% 0.13/0.36 spl0_11 <=> empty_carrier(sk0_7)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f229,plain,(
% 0.13/0.36 empty_carrier(sk0_7)|~spl0_11),
% 0.13/0.36 inference(component_clause,[status(thm)],[f228])).
% 0.13/0.36 fof(f231,plain,(
% 0.13/0.36 spl0_12 <=> topological_space(sk0_7)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f233,plain,(
% 0.13/0.36 ~topological_space(sk0_7)|spl0_12),
% 0.13/0.36 inference(component_clause,[status(thm)],[f231])).
% 0.13/0.36 fof(f234,plain,(
% 0.13/0.36 spl0_13 <=> top_str(sk0_7)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f236,plain,(
% 0.13/0.36 ~top_str(sk0_7)|spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f234])).
% 0.13/0.36 fof(f242,plain,(
% 0.13/0.36 $false|spl0_13),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f236,f163])).
% 0.13/0.36 fof(f243,plain,(
% 0.13/0.36 spl0_13),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f242])).
% 0.13/0.36 fof(f244,plain,(
% 0.13/0.36 $false|spl0_12),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f233,f162])).
% 0.13/0.36 fof(f245,plain,(
% 0.13/0.36 spl0_12),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f244])).
% 0.13/0.36 fof(f246,plain,(
% 0.13/0.36 $false|~spl0_11),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f229,f161])).
% 0.13/0.36 fof(f247,plain,(
% 0.13/0.36 ~spl0_11),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f246])).
% 0.13/0.36 fof(f248,plain,(
% 0.13/0.36 spl0_15 <=> ~element(X0,the_carrier(sk0_7))|point_neighbourhood(sk0_8,sk0_7,X0)|~in(X0,interior(sk0_7,sk0_8))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f249,plain,(
% 0.13/0.36 ![X0]: (~element(X0,the_carrier(sk0_7))|point_neighbourhood(sk0_8,sk0_7,X0)|~in(X0,interior(sk0_7,sk0_8))|~spl0_15)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f248])).
% 0.13/0.36 fof(f251,plain,(
% 0.13/0.36 ![X0]: (empty_carrier(sk0_7)|~topological_space(sk0_7)|~top_str(sk0_7)|~element(X0,the_carrier(sk0_7))|point_neighbourhood(sk0_8,sk0_7,X0)|~in(X0,interior(sk0_7,sk0_8)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f106,f164])).
% 0.13/0.36 fof(f252,plain,(
% 0.13/0.36 spl0_11|~spl0_12|~spl0_13|spl0_15),
% 0.13/0.36 inference(split_clause,[status(thm)],[f251,f228,f231,f234,f248])).
% 0.13/0.36 fof(f305,plain,(
% 0.13/0.36 ~topological_space(sk0_7)|~top_str(sk0_7)|~spl0_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f181,f164])).
% 0.13/0.36 fof(f306,plain,(
% 0.13/0.36 ~spl0_12|~spl0_13|~spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f305,f231,f234,f180])).
% 0.13/0.36 fof(f307,plain,(
% 0.13/0.36 spl0_26 <=> open_subset(sk0_8,sk0_7)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f309,plain,(
% 0.13/0.36 ~open_subset(sk0_8,sk0_7)|spl0_26),
% 0.13/0.36 inference(component_clause,[status(thm)],[f307])).
% 0.13/0.36 fof(f310,plain,(
% 0.13/0.36 spl0_27 <=> interior(sk0_7,sk0_8)=sk0_8),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f311,plain,(
% 0.13/0.36 interior(sk0_7,sk0_8)=sk0_8|~spl0_27),
% 0.13/0.36 inference(component_clause,[status(thm)],[f310])).
% 0.13/0.36 fof(f313,plain,(
% 0.13/0.36 ~top_str(sk0_7)|~open_subset(sk0_8,sk0_7)|interior(sk0_7,sk0_8)=sk0_8|~spl0_1),
% 0.13/0.36 inference(resolution,[status(thm)],[f184,f164])).
% 0.13/0.36 fof(f314,plain,(
% 0.13/0.36 ~spl0_13|~spl0_26|spl0_27|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f313,f234,f307,f310,f183])).
% 0.13/0.36 fof(f315,plain,(
% 0.13/0.36 $false|spl0_26),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f309,f166])).
% 0.13/0.36 fof(f316,plain,(
% 0.13/0.36 spl0_26),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f315])).
% 0.13/0.36 fof(f336,plain,(
% 0.13/0.36 ![X0]: (~element(X0,the_carrier(sk0_7))|point_neighbourhood(sk0_8,sk0_7,X0)|~in(X0,sk0_8)|~spl0_27|~spl0_15)),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f311,f249])).
% 0.13/0.36 fof(f337,plain,(
% 0.13/0.36 spl0_30 <=> point_neighbourhood(sk0_8,sk0_7,sk0_9)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f338,plain,(
% 0.13/0.36 point_neighbourhood(sk0_8,sk0_7,sk0_9)|~spl0_30),
% 0.13/0.36 inference(component_clause,[status(thm)],[f337])).
% 0.13/0.36 fof(f340,plain,(
% 0.13/0.36 point_neighbourhood(sk0_8,sk0_7,sk0_9)|~in(sk0_9,sk0_8)|~spl0_27|~spl0_15),
% 0.13/0.36 inference(resolution,[status(thm)],[f336,f165])).
% 0.13/0.36 fof(f341,plain,(
% 0.13/0.36 spl0_30|~spl0_7|~spl0_27|~spl0_15),
% 0.13/0.36 inference(split_clause,[status(thm)],[f340,f337,f208,f310,f248])).
% 0.13/0.36 fof(f342,plain,(
% 0.13/0.36 $false|~spl0_30),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f338,f168])).
% 0.13/0.36 fof(f343,plain,(
% 0.13/0.36 ~spl0_30),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f342])).
% 0.13/0.36 fof(f344,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f186,f212,f222,f243,f245,f247,f252,f306,f314,f316,f341,f343])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.025973 seconds
% 0.13/0.37 % CPU time: 0.042131 seconds
% 0.13/0.37 % Memory used: 12.143 MB
%------------------------------------------------------------------------------