%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : TOP021+1 : TPTP v9.3.1. Released v3.1.0.
% 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 03:53:40 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP021+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 12:43:08 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [A,X,A1] : a_continuous_function_from_onto(the_projection_function(A,X,A1),the_product_top_space_over(X,A1),apply(X,A)) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (! [A,X,A1,X1] : an_open_function_from_onto(the_projection_function(A,X,A1),the_product_top_space_over(X1,A1),apply(X1,A)) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (! [F,A,B] :( ( an_open_function_from_onto(F,A,B)& a_continuous_function_from_onto(F,A,B)& a_locally_compact_top_space(A) )=> a_locally_compact_top_space(B) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,conjecture,(
% 0.13/0.38 (! [X1,A1] :( a_locally_compact_top_space(the_product_top_space_over(X1,A1))=> (! [A] : a_locally_compact_top_space(apply(X1,A)) )) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 ~((! [X1,A1] :( a_locally_compact_top_space(the_product_top_space_over(X1,A1))=> (! [A] : a_locally_compact_top_space(apply(X1,A)) )) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f4])).
% 0.13/0.38 fof(f6,plain,(
% 0.13/0.38 ![X0,X1,X2]: (a_continuous_function_from_onto(the_projection_function(X0,X1,X2),the_product_top_space_over(X1,X2),apply(X1,X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (an_open_function_from_onto(the_projection_function(X0,X1,X2),the_product_top_space_over(X3,X2),apply(X3,X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![F,A,B]: (((~an_open_function_from_onto(F,A,B)|~a_continuous_function_from_onto(F,A,B))|~a_locally_compact_top_space(A))|a_locally_compact_top_space(B))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![B]: ((![A]: ((![F]: (~an_open_function_from_onto(F,A,B)|~a_continuous_function_from_onto(F,A,B)))|~a_locally_compact_top_space(A)))|a_locally_compact_top_space(B))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~an_open_function_from_onto(X0,X1,X2)|~a_continuous_function_from_onto(X0,X1,X2)|~a_locally_compact_top_space(X1)|a_locally_compact_top_space(X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 (?[X1,A1]: (a_locally_compact_top_space(the_product_top_space_over(X1,A1))&(?[A]: ~a_locally_compact_top_space(apply(X1,A)))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f12,plain,(
% 0.13/0.38 ?[X1]: ((?[A1]: a_locally_compact_top_space(the_product_top_space_over(X1,A1)))&(?[A]: ~a_locally_compact_top_space(apply(X1,A))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 (a_locally_compact_top_space(the_product_top_space_over(sK0_skl,sK1_skl))&~a_locally_compact_top_space(apply(sK0_skl,sK2_skl)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X1,sK0_skl),skolemize(A1,sK1_skl),skolemize(A,sK2_skl)],[f12])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 a_locally_compact_top_space(the_product_top_space_over(sK0_skl,sK1_skl))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ~a_locally_compact_top_space(apply(sK0_skl,sK2_skl))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1]: (~an_open_function_from_onto(X0,the_product_top_space_over(sK0_skl,sK1_skl),X1)|~a_continuous_function_from_onto(X0,the_product_top_space_over(sK0_skl,sK1_skl),X1)|a_locally_compact_top_space(X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f10,f14])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1]: (~a_continuous_function_from_onto(the_projection_function(X0,X1,sK1_skl),the_product_top_space_over(sK0_skl,sK1_skl),apply(sK0_skl,X0))|a_locally_compact_top_space(apply(sK0_skl,X0)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f16,f7])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0]: (a_locally_compact_top_space(apply(sK0_skl,X0)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f17,f6])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f15,f18])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.041019 seconds
% 0.13/0.41 % CPU time: 0.104140 seconds
% 0.13/0.41 % Total memory used: 29.409 MB
% 0.13/0.41 % Net memory used: 29.118 MB
%------------------------------------------------------------------------------