%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU323+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 : 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 02:22:19 PM UTC 2026
% Result : Theorem 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU323+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
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 06:11:20 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (! [A,B] :( ( topological_space(A)& top_str(A)& closed_subset(B,A)& element(B,powerset(the_carrier(A))) )=> open_subset(subset_complement(the_carrier(A),B),A) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f6,axiom,(
% 0.15/0.40 (! [A,B] :( element(B,powerset(A))=> element(subset_complement(A,B),powerset(A)) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f7,axiom,(
% 0.15/0.40 (! [A,B] :( ( top_str(A)& element(B,powerset(the_carrier(A))) )=> element(topstr_closure(A,B),powerset(the_carrier(A))) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f9,axiom,(
% 0.15/0.40 (! [A,B] :( ( topological_space(A)& top_str(A)& element(B,powerset(the_carrier(A))) )=> closed_subset(topstr_closure(A,B),A) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f20,axiom,(
% 0.15/0.40 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> interior(A,B) = subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))) ) )) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f21,conjecture,(
% 0.15/0.40 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> open_subset(interior(A,B),A) ) )) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f22,negated_conjecture,(
% 0.15/0.40 ~((! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> open_subset(interior(A,B),A) ) )) ))),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f21])).
% 0.15/0.40 fof(f23,plain,(
% 0.15/0.40 ![A,B]: ((((~topological_space(A)|~top_str(A))|~closed_subset(B,A))|~element(B,powerset(the_carrier(A))))|open_subset(subset_complement(the_carrier(A),B),A))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.15/0.40 fof(f24,plain,(
% 0.15/0.40 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~closed_subset(X1,X0)|~element(X1,powerset(the_carrier(X0)))|open_subset(subset_complement(the_carrier(X0),X1),X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/0.40 fof(f35,plain,(
% 0.15/0.40 ![A,B]: (~element(B,powerset(A))|element(subset_complement(A,B),powerset(A)))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.15/0.40 fof(f36,plain,(
% 0.15/0.40 ![X0,X1]: (~element(X0,powerset(X1))|element(subset_complement(X1,X0),powerset(X1)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/0.40 fof(f37,plain,(
% 0.15/0.40 ![A,B]: ((~top_str(A)|~element(B,powerset(the_carrier(A))))|element(topstr_closure(A,B),powerset(the_carrier(A))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.15/0.40 fof(f38,plain,(
% 0.15/0.40 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|element(topstr_closure(X0,X1),powerset(the_carrier(X0))))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.15/0.40 fof(f39,plain,(
% 0.15/0.40 ![A,B]: (((~topological_space(A)|~top_str(A))|~element(B,powerset(the_carrier(A))))|closed_subset(topstr_closure(A,B),A))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/0.40 fof(f40,plain,(
% 0.15/0.40 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|closed_subset(topstr_closure(X0,X1),X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.15/0.40 fof(f59,plain,(
% 0.15/0.40 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|interior(A,B)=subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.15/0.40 fof(f60,plain,(
% 0.15/0.40 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|interior(X0,X1)=subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f59])).
% 0.15/0.40 fof(f61,plain,(
% 0.15/0.40 (?[A]: ((topological_space(A)&top_str(A))&(?[B]: (element(B,powerset(the_carrier(A)))&~open_subset(interior(A,B),A)))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.15/0.40 fof(f62,plain,(
% 0.15/0.40 ((topological_space(sK5_skl)&top_str(sK5_skl))&(element(sK6_skl,powerset(the_carrier(sK5_skl)))&~open_subset(interior(sK5_skl,sK6_skl),sK5_skl)))),
% 0.15/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(A,sK5_skl),skolemize(B,sK6_skl)],[f61])).
% 0.15/0.41 fof(f63,plain,(
% 0.15/0.41 topological_space(sK5_skl)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f62])).
% 0.15/0.41 fof(f64,plain,(
% 0.15/0.41 top_str(sK5_skl)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f62])).
% 0.15/0.41 fof(f65,plain,(
% 0.15/0.41 element(sK6_skl,powerset(the_carrier(sK5_skl)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f62])).
% 0.15/0.41 fof(f66,plain,(
% 0.15/0.41 ~open_subset(interior(sK5_skl,sK6_skl),sK5_skl)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f62])).
% 0.15/0.41 fof(f77,plain,(
% 0.15/0.41 ![X0]: (~top_str(sK5_skl)|~closed_subset(X0,sK5_skl)|~element(X0,powerset(the_carrier(sK5_skl)))|open_subset(subset_complement(the_carrier(sK5_skl),X0),sK5_skl))),
% 0.15/0.41 inference(resolution,[status(thm)],[f24,f63])).
% 0.15/0.41 fof(f78,plain,(
% 0.15/0.41 ![X0]: (~closed_subset(X0,sK5_skl)|~element(X0,powerset(the_carrier(sK5_skl)))|open_subset(subset_complement(the_carrier(sK5_skl),X0),sK5_skl))),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f77,f64])).
% 0.15/0.41 fof(f91,plain,(
% 0.15/0.41 ![X0]: (~element(X0,powerset(the_carrier(sK5_skl)))|interior(sK5_skl,X0)=subset_complement(the_carrier(sK5_skl),topstr_closure(sK5_skl,subset_complement(the_carrier(sK5_skl),X0))))),
% 0.15/0.41 inference(resolution,[status(thm)],[f60,f64])).
% 0.15/0.41 fof(f101,plain,(
% 0.15/0.41 interior(sK5_skl,sK6_skl)=subset_complement(the_carrier(sK5_skl),topstr_closure(sK5_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f91,f65])).
% 0.15/0.41 fof(f145,plain,(
% 0.15/0.41 element(subset_complement(the_carrier(sK5_skl),sK6_skl),powerset(the_carrier(sK5_skl)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f36,f65])).
% 0.15/0.41 fof(f190,plain,(
% 0.15/0.41 ~top_str(sK5_skl)|element(topstr_closure(sK5_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)),powerset(the_carrier(sK5_skl)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f145,f38])).
% 0.15/0.41 fof(f198,plain,(
% 0.15/0.41 element(topstr_closure(sK5_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)),powerset(the_carrier(sK5_skl)))),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f190,f64])).
% 0.15/0.41 fof(f331,plain,(
% 0.15/0.41 ![X0]: (~top_str(sK5_skl)|~element(X0,powerset(the_carrier(sK5_skl)))|closed_subset(topstr_closure(sK5_skl,X0),sK5_skl))),
% 0.15/0.41 inference(resolution,[status(thm)],[f40,f63])).
% 0.15/0.41 fof(f332,plain,(
% 0.15/0.41 ![X0]: (~element(X0,powerset(the_carrier(sK5_skl)))|closed_subset(topstr_closure(sK5_skl,X0),sK5_skl))),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f331,f64])).
% 0.15/0.41 fof(f336,plain,(
% 0.15/0.41 closed_subset(topstr_closure(sK5_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)),sK5_skl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f332,f145])).
% 0.15/0.41 fof(f448,plain,(
% 0.15/0.41 ~closed_subset(topstr_closure(sK5_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)),sK5_skl)|open_subset(subset_complement(the_carrier(sK5_skl),topstr_closure(sK5_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))),sK5_skl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f198,f78])).
% 0.15/0.41 fof(f456,plain,(
% 0.15/0.41 ~closed_subset(topstr_closure(sK5_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)),sK5_skl)|open_subset(interior(sK5_skl,sK6_skl),sK5_skl)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f101,f448])).
% 0.15/0.41 fof(f457,plain,(
% 0.15/0.41 open_subset(interior(sK5_skl,sK6_skl),sK5_skl)),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f456,f336])).
% 0.15/0.41 fof(f462,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f457,f66])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.059381 seconds
% 0.15/0.43 % CPU time: 0.181462 seconds
% 0.15/0.43 % Total memory used: 47.504 MB
% 0.15/0.43 % Net memory used: 47.190 MB
%------------------------------------------------------------------------------