TSTP Solution File: SEU341+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU341+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU341+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 09:17:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.41 % Drodi V3.5.1
% 0.19/0.46 % Refutation found
% 0.19/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.46 fof(f51,axiom,(
% 0.19/0.46 (! [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)) ) ) )) )) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f517,axiom,(
% 0.19/0.46 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f528,lemma,(
% 0.19/0.46 (! [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) ) ) ) )) )) )) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f531,conjecture,(
% 0.19/0.46 (! [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) ) ) )) )) )),
% 0.19/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f532,negated_conjecture,(
% 0.19/0.46 ~((! [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) ) ) )) )) ))),
% 0.19/0.46 inference(negated_conjecture,[status(cth)],[f531])).
% 0.19/0.46 fof(f786,plain,(
% 0.19/0.46 ![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))))))))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 0.19/0.46 fof(f787,plain,(
% 0.19/0.46 ![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)))))))))),
% 0.19/0.46 inference(NNF_transformation,[status(esa)],[f786])).
% 0.19/0.46 fof(f789,plain,(
% 0.19/0.46 ![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)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f787])).
% 0.19/0.46 fof(f2808,plain,(
% 0.19/0.46 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f517])).
% 0.19/0.46 fof(f2809,plain,(
% 0.19/0.46 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f2808])).
% 0.19/0.46 fof(f2810,plain,(
% 0.19/0.46 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2809])).
% 0.19/0.46 fof(f2852,plain,(
% 0.19/0.46 ![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))))))))))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f528])).
% 0.19/0.46 fof(f2853,plain,(
% 0.19/0.46 ![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)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2852])).
% 0.19/0.46 fof(f2862,plain,(
% 0.19/0.46 (?[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))))))))),
% 0.19/0.46 inference(pre_NNF_transformation,[status(esa)],[f532])).
% 0.19/0.46 fof(f2863,plain,(
% 0.19/0.46 (((~empty_carrier(sk0_362)&topological_space(sk0_362))&top_str(sk0_362))&(element(sk0_363,powerset(the_carrier(sk0_362)))&(element(sk0_364,the_carrier(sk0_362))&((open_subset(sk0_363,sk0_362)&in(sk0_364,sk0_363))&~point_neighbourhood(sk0_363,sk0_362,sk0_364)))))),
% 0.19/0.46 inference(skolemization,[status(esa)],[f2862])).
% 0.19/0.46 fof(f2864,plain,(
% 0.19/0.46 ~empty_carrier(sk0_362)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2863])).
% 0.19/0.46 fof(f2865,plain,(
% 0.19/0.46 topological_space(sk0_362)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2863])).
% 0.19/0.46 fof(f2866,plain,(
% 0.19/0.46 top_str(sk0_362)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2863])).
% 0.19/0.46 fof(f2867,plain,(
% 0.19/0.46 element(sk0_363,powerset(the_carrier(sk0_362)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2863])).
% 0.19/0.46 fof(f2869,plain,(
% 0.19/0.46 open_subset(sk0_363,sk0_362)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2863])).
% 0.19/0.46 fof(f2870,plain,(
% 0.19/0.46 in(sk0_364,sk0_363)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2863])).
% 0.19/0.46 fof(f2871,plain,(
% 0.19/0.46 ~point_neighbourhood(sk0_363,sk0_362,sk0_364)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2863])).
% 0.19/0.46 fof(f3443,plain,(
% 0.19/0.46 spl0_31 <=> ~topological_space(X0)|~top_str(X0)|~element(X2,powerset(the_carrier(X0)))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f3444,plain,(
% 0.19/0.46 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~spl0_31)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f3443])).
% 0.19/0.46 fof(f3446,plain,(
% 0.19/0.46 spl0_32 <=> ~top_str(X1)|~element(X3,powerset(the_carrier(X1)))|~open_subset(X3,X1)|interior(X1,X3)=X3),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f3447,plain,(
% 0.19/0.46 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|interior(X0,X1)=X1|~spl0_32)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f3446])).
% 0.19/0.46 fof(f3449,plain,(
% 0.19/0.46 spl0_31|spl0_32),
% 0.19/0.46 inference(split_clause,[status(thm)],[f2853,f3443,f3446])).
% 0.19/0.46 fof(f3787,plain,(
% 0.19/0.46 spl0_55 <=> top_str(sk0_362)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f3789,plain,(
% 0.19/0.46 ~top_str(sk0_362)|spl0_55),
% 0.19/0.46 inference(component_clause,[status(thm)],[f3787])).
% 0.19/0.46 fof(f3790,plain,(
% 0.19/0.46 spl0_56 <=> ~element(X0,powerset(the_carrier(sk0_362)))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f3791,plain,(
% 0.19/0.46 ![X0]: (~element(X0,powerset(the_carrier(sk0_362)))|~spl0_56)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f3790])).
% 0.19/0.46 fof(f3793,plain,(
% 0.19/0.46 ![X0]: (~top_str(sk0_362)|~element(X0,powerset(the_carrier(sk0_362)))|~spl0_31)),
% 0.19/0.46 inference(resolution,[status(thm)],[f3444,f2865])).
% 0.19/0.46 fof(f3794,plain,(
% 0.19/0.46 ~spl0_55|spl0_56|~spl0_31),
% 0.19/0.46 inference(split_clause,[status(thm)],[f3793,f3787,f3790,f3443])).
% 0.19/0.46 fof(f3795,plain,(
% 0.19/0.46 $false|spl0_55),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3789,f2866])).
% 0.19/0.46 fof(f3796,plain,(
% 0.19/0.46 spl0_55),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f3795])).
% 0.19/0.46 fof(f3797,plain,(
% 0.19/0.46 $false|~spl0_56),
% 0.19/0.46 inference(backward_subsumption_resolution,[status(thm)],[f2867,f3791])).
% 0.19/0.46 fof(f3798,plain,(
% 0.19/0.46 ~spl0_56),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f3797])).
% 0.19/0.46 fof(f3807,plain,(
% 0.19/0.46 spl0_58 <=> interior(sk0_362,sk0_363)=sk0_363),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f3808,plain,(
% 0.19/0.46 interior(sk0_362,sk0_363)=sk0_363|~spl0_58),
% 0.19/0.46 inference(component_clause,[status(thm)],[f3807])).
% 0.19/0.46 fof(f3817,plain,(
% 0.19/0.46 spl0_60 <=> element(sk0_363,powerset(the_carrier(sk0_362)))),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f3819,plain,(
% 0.19/0.46 ~element(sk0_363,powerset(the_carrier(sk0_362)))|spl0_60),
% 0.19/0.46 inference(component_clause,[status(thm)],[f3817])).
% 0.19/0.46 fof(f3820,plain,(
% 0.19/0.46 ~top_str(sk0_362)|~element(sk0_363,powerset(the_carrier(sk0_362)))|interior(sk0_362,sk0_363)=sk0_363|~spl0_32),
% 0.19/0.46 inference(resolution,[status(thm)],[f3447,f2869])).
% 0.19/0.46 fof(f3821,plain,(
% 0.19/0.46 ~spl0_55|~spl0_60|spl0_58|~spl0_32),
% 0.19/0.46 inference(split_clause,[status(thm)],[f3820,f3787,f3817,f3807,f3446])).
% 0.19/0.46 fof(f3822,plain,(
% 0.19/0.46 $false|spl0_60),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3819,f2867])).
% 0.19/0.46 fof(f3823,plain,(
% 0.19/0.46 spl0_60),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f3822])).
% 0.19/0.46 fof(f3839,plain,(
% 0.19/0.46 ![X0]: (~in(X0,sk0_363)|element(X0,the_carrier(sk0_362)))),
% 0.19/0.46 inference(resolution,[status(thm)],[f2810,f2867])).
% 0.19/0.46 fof(f3849,plain,(
% 0.19/0.46 spl0_63 <=> empty_carrier(sk0_362)),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f3850,plain,(
% 0.19/0.46 empty_carrier(sk0_362)|~spl0_63),
% 0.19/0.46 inference(component_clause,[status(thm)],[f3849])).
% 0.19/0.46 fof(f3852,plain,(
% 0.19/0.46 spl0_64 <=> ~element(X0,the_carrier(sk0_362))|~element(X1,powerset(the_carrier(sk0_362)))|point_neighbourhood(X1,sk0_362,X0)|~in(X0,interior(sk0_362,X1))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f3853,plain,(
% 0.19/0.47 ![X0,X1]: (~element(X0,the_carrier(sk0_362))|~element(X1,powerset(the_carrier(sk0_362)))|point_neighbourhood(X1,sk0_362,X0)|~in(X0,interior(sk0_362,X1))|~spl0_64)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f3852])).
% 0.19/0.47 fof(f3855,plain,(
% 0.19/0.47 ![X0,X1]: (empty_carrier(sk0_362)|~top_str(sk0_362)|~element(X0,the_carrier(sk0_362))|~element(X1,powerset(the_carrier(sk0_362)))|point_neighbourhood(X1,sk0_362,X0)|~in(X0,interior(sk0_362,X1)))),
% 0.19/0.47 inference(resolution,[status(thm)],[f789,f2865])).
% 0.19/0.47 fof(f3856,plain,(
% 0.19/0.47 spl0_63|~spl0_55|spl0_64),
% 0.19/0.47 inference(split_clause,[status(thm)],[f3855,f3849,f3787,f3852])).
% 0.19/0.47 fof(f3857,plain,(
% 0.19/0.47 $false|~spl0_63),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f3850,f2864])).
% 0.19/0.47 fof(f3858,plain,(
% 0.19/0.47 ~spl0_63),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f3857])).
% 0.19/0.47 fof(f3868,plain,(
% 0.19/0.47 spl0_65 <=> ~element(X0,the_carrier(sk0_362))|point_neighbourhood(sk0_363,sk0_362,X0)|~in(X0,sk0_363)),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f3869,plain,(
% 0.19/0.47 ![X0]: (~element(X0,the_carrier(sk0_362))|point_neighbourhood(sk0_363,sk0_362,X0)|~in(X0,sk0_363)|~spl0_65)),
% 0.19/0.47 inference(component_clause,[status(thm)],[f3868])).
% 0.19/0.47 fof(f3871,plain,(
% 0.19/0.47 ![X0]: (~element(X0,the_carrier(sk0_362))|~element(sk0_363,powerset(the_carrier(sk0_362)))|point_neighbourhood(sk0_363,sk0_362,X0)|~in(X0,sk0_363)|~spl0_64|~spl0_58)),
% 0.19/0.47 inference(paramodulation,[status(thm)],[f3808,f3853])).
% 0.19/0.47 fof(f3872,plain,(
% 0.19/0.47 spl0_65|~spl0_60|~spl0_64|~spl0_58),
% 0.19/0.47 inference(split_clause,[status(thm)],[f3871,f3868,f3817,f3852,f3807])).
% 0.19/0.47 fof(f3873,plain,(
% 0.19/0.47 ![X0]: (point_neighbourhood(sk0_363,sk0_362,X0)|~in(X0,sk0_363)|~spl0_65)),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f3869,f3839])).
% 0.19/0.47 fof(f3874,plain,(
% 0.19/0.47 point_neighbourhood(sk0_363,sk0_362,sk0_364)|~spl0_65),
% 0.19/0.47 inference(resolution,[status(thm)],[f3873,f2870])).
% 0.19/0.47 fof(f3875,plain,(
% 0.19/0.47 $false|~spl0_65),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f3874,f2871])).
% 0.19/0.47 fof(f3876,plain,(
% 0.19/0.47 ~spl0_65),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f3875])).
% 0.19/0.47 fof(f3877,plain,(
% 0.19/0.47 $false),
% 0.19/0.47 inference(sat_refutation,[status(thm)],[f3449,f3794,f3796,f3798,f3821,f3823,f3856,f3858,f3872,f3876])).
% 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.64/0.71 % Elapsed time: 0.147756 seconds
% 0.64/0.71 % CPU time: 0.307167 seconds
% 0.64/0.71 % Memory used: 59.633 MB
%------------------------------------------------------------------------------