%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : TOP005-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:53:33 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n026.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 12:40:58 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.57 % Refutation found
% 0.13/5.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.57 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.57 fof(f1,axiom,(
% 0.13/5.57 (![U,Vf]: (( ~ element_of_set(U,union_of_members(Vf))| element_of_set(U,f1(Vf,U)) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f2,axiom,(
% 0.13/5.57 (![U,Vf]: (( ~ element_of_set(U,union_of_members(Vf))| element_of_collection(f1(Vf,U),Vf) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f3,axiom,(
% 0.13/5.57 (![U,Vf,X]: (( ~ element_of_collection(U,top_of_basis(Vf))| ~ element_of_set(X,U)| element_of_set(X,f10(Vf,U,X)) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f4,axiom,(
% 0.13/5.57 (![U,Vf,X]: (( ~ element_of_collection(U,top_of_basis(Vf))| ~ element_of_set(X,U)| element_of_collection(f10(Vf,U,X),Vf) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f5,axiom,(
% 0.13/5.57 (![U,Vf,X]: (( ~ element_of_collection(U,top_of_basis(Vf))| ~ element_of_set(X,U)| subset_sets(f10(Vf,U,X),U) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f6,axiom,(
% 0.13/5.57 (![U,Vf]: (( element_of_collection(U,top_of_basis(Vf))| element_of_set(f11(Vf,U),U) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f7,axiom,(
% 0.13/5.57 (![U,Vf,Uu11]: (( element_of_collection(U,top_of_basis(Vf))| ~ element_of_set(f11(Vf,U),Uu11)| ~ element_of_collection(Uu11,Vf)| ~ subset_sets(Uu11,U) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f9,axiom,(
% 0.13/5.57 (![X,Y,Z]: (( ~ subset_sets(X,Y)| ~ element_of_collection(Y,Z)| subset_sets(X,union_of_members(Z)) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f10,axiom,(
% 0.13/5.57 (![X,Y,U]: (( ~ subset_collections(X,Y)| ~ element_of_collection(U,X)| element_of_collection(U,Y) ) ))),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f11,negated_conjecture,(
% 0.13/5.57 subset_collections(g,top_of_basis(f)) ),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f12,negated_conjecture,(
% 0.13/5.57 ~ element_of_collection(union_of_members(g),top_of_basis(f)) ),
% 0.13/5.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.57 fof(f13,plain,(
% 0.13/5.57 ![X0,X1]: (~element_of_set(X0,union_of_members(X1))|element_of_set(X0,f1(X1,X0)))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/5.57 fof(f14,plain,(
% 0.13/5.57 ![X0,X1]: (~element_of_set(X0,union_of_members(X1))|element_of_collection(f1(X1,X0),X1))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/5.57 fof(f15,plain,(
% 0.13/5.57 ![X0,X1,X2]: (~element_of_collection(X0,top_of_basis(X1))|~element_of_set(X2,X0)|element_of_set(X2,f10(X1,X0,X2)))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/5.57 fof(f16,plain,(
% 0.13/5.57 ![X0,X1,X2]: (~element_of_collection(X0,top_of_basis(X1))|~element_of_set(X2,X0)|element_of_collection(f10(X1,X0,X2),X1))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/5.57 fof(f17,plain,(
% 0.13/5.57 ![X0,X1,X2]: (~element_of_collection(X0,top_of_basis(X1))|~element_of_set(X2,X0)|subset_sets(f10(X1,X0,X2),X0))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/5.57 fof(f18,plain,(
% 0.13/5.57 ![X0,X1]: (element_of_collection(X0,top_of_basis(X1))|element_of_set(f11(X1,X0),X0))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/5.57 fof(f19,plain,(
% 0.13/5.57 ![U,Uu11]: ((![Vf]: ((element_of_collection(U,top_of_basis(Vf))|~element_of_set(f11(Vf,U),Uu11))|~element_of_collection(Uu11,Vf)))|~subset_sets(Uu11,U))),
% 0.13/5.57 inference(miniscoping,[status(thm)],[f7])).
% 0.13/5.57 fof(f20,plain,(
% 0.13/5.57 ![X0,X1,X2]: (element_of_collection(X0,top_of_basis(X1))|~element_of_set(f11(X1,X0),X2)|~element_of_collection(X2,X1)|~subset_sets(X2,X0))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/5.57 fof(f23,plain,(
% 0.13/5.57 ![X,Z]: ((![Y]: (~subset_sets(X,Y)|~element_of_collection(Y,Z)))|subset_sets(X,union_of_members(Z)))),
% 0.13/5.57 inference(miniscoping,[status(thm)],[f9])).
% 0.13/5.57 fof(f24,plain,(
% 0.13/5.57 ![X0,X1,X2]: (~subset_sets(X0,X1)|~element_of_collection(X1,X2)|subset_sets(X0,union_of_members(X2)))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/5.57 fof(f25,plain,(
% 0.13/5.57 ![Y,U]: ((![X]: (~subset_collections(X,Y)|~element_of_collection(U,X)))|element_of_collection(U,Y))),
% 0.13/5.57 inference(miniscoping,[status(thm)],[f10])).
% 0.13/5.57 fof(f26,plain,(
% 0.13/5.57 ![X0,X1,X2]: (~subset_collections(X0,X1)|~element_of_collection(X2,X0)|element_of_collection(X2,X1))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/5.57 fof(f27,plain,(
% 0.13/5.57 subset_collections(g,top_of_basis(f))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/5.57 fof(f28,plain,(
% 0.13/5.57 ~element_of_collection(union_of_members(g),top_of_basis(f))),
% 0.13/5.57 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/5.57 fof(f40,plain,(
% 0.13/5.57 ![X0,X1]: (element_of_collection(union_of_members(X0),top_of_basis(X1))|element_of_set(f11(X1,union_of_members(X0)),f1(X0,f11(X1,union_of_members(X0)))))),
% 0.13/5.57 inference(resolution,[status(thm)],[f18,f13])).
% 0.13/5.57 fof(f41,plain,(
% 0.13/5.57 ![X0,X1]: (element_of_collection(union_of_members(X0),top_of_basis(X1))|element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X0))),
% 0.13/5.57 inference(resolution,[status(thm)],[f18,f14])).
% 0.13/5.57 fof(f59,plain,(
% 0.13/5.57 ![X0,X1,X2]: (element_of_collection(union_of_members(X0),top_of_basis(X1))|~subset_sets(X2,f1(X0,f11(X1,union_of_members(X0))))|subset_sets(X2,union_of_members(X0)))),
% 0.13/5.57 inference(resolution,[status(thm)],[f41,f24])).
% 0.13/5.57 fof(f60,plain,(
% 0.13/5.57 ![X0,X1,X2]: (element_of_collection(union_of_members(X0),top_of_basis(X1))|~subset_collections(X0,X2)|element_of_collection(f1(X0,f11(X1,union_of_members(X0))),X2))),
% 0.13/5.57 inference(resolution,[status(thm)],[f41,f26])).
% 0.13/5.57 fof(f62,plain,(
% 0.13/5.57 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|element_of_collection(f1(g,f11(X0,union_of_members(g))),top_of_basis(f)))),
% 0.13/5.57 inference(resolution,[status(thm)],[f60,f27])).
% 0.13/5.57 fof(f63,plain,(
% 0.13/5.57 ![X0,X1]: (element_of_collection(union_of_members(g),top_of_basis(X0))|~element_of_set(X1,f1(g,f11(X0,union_of_members(g))))|subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),X1),f1(g,f11(X0,union_of_members(g)))))),
% 0.13/5.57 inference(resolution,[status(thm)],[f62,f17])).
% 0.13/5.57 fof(f64,plain,(
% 0.13/5.57 ![X0,X1]: (element_of_collection(union_of_members(g),top_of_basis(X0))|~element_of_set(X1,f1(g,f11(X0,union_of_members(g))))|element_of_set(X1,f10(f,f1(g,f11(X0,union_of_members(g))),X1)))),
% 0.13/5.57 inference(resolution,[status(thm)],[f62,f15])).
% 0.13/5.57 fof(f65,plain,(
% 0.13/5.57 ![X0,X1]: (element_of_collection(union_of_members(g),top_of_basis(X0))|~element_of_set(X1,f1(g,f11(X0,union_of_members(g))))|element_of_collection(f10(f,f1(g,f11(X0,union_of_members(g))),X1),f))),
% 0.13/5.57 inference(resolution,[status(thm)],[f62,f16])).
% 0.13/5.57 fof(f69,plain,(
% 0.13/5.57 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),f1(g,f11(X0,union_of_members(g))))|element_of_collection(union_of_members(g),top_of_basis(X0)))),
% 0.13/5.57 inference(resolution,[status(thm)],[f63,f40])).
% 0.13/5.57 fof(f73,plain,(
% 0.13/5.57 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),f1(g,f11(X0,union_of_members(g)))))),
% 0.13/5.57 inference(duplicate_literals_removal,[status(thm)],[f69])).
% 0.13/5.57 fof(f74,plain,(
% 0.13/5.57 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|element_of_set(f11(X0,union_of_members(g)),f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))))|element_of_collection(union_of_members(g),top_of_basis(X0)))),
% 0.13/5.57 inference(resolution,[status(thm)],[f64,f40])).
% 0.13/5.57 fof(f78,plain,(
% 0.13/5.57 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|element_of_set(f11(X0,union_of_members(g)),f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g)))))),
% 0.13/5.57 inference(duplicate_literals_removal,[status(thm)],[f74])).
% 0.13/5.57 fof(f79,plain,(
% 0.13/5.57 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|element_of_collection(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),f)|element_of_collection(union_of_members(g),top_of_basis(X0)))),
% 0.13/5.57 inference(resolution,[status(thm)],[f65,f40])).
% 0.13/5.57 fof(f83,plain,(
% 0.13/5.57 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|element_of_collection(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),f))),
% 0.13/5.57 inference(duplicate_literals_removal,[status(thm)],[f79])).
% 0.13/5.57 fof(f85,plain,(
% 0.13/5.58 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|element_of_collection(union_of_members(g),top_of_basis(X0))|subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),union_of_members(g)))),
% 0.13/5.58 inference(resolution,[status(thm)],[f73,f59])).
% 0.13/5.58 fof(f87,plain,(
% 0.13/5.58 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),union_of_members(g)))),
% 0.13/5.58 inference(duplicate_literals_removal,[status(thm)],[f85])).
% 0.13/5.58 fof(f340,plain,(
% 0.13/5.58 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|~element_of_collection(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),X0)|~subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),union_of_members(g))|element_of_collection(union_of_members(g),top_of_basis(X0)))),
% 0.13/5.58 inference(resolution,[status(thm)],[f20,f78])).
% 0.13/5.58 fof(f354,plain,(
% 0.13/5.58 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|~element_of_collection(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),X0)|~subset_sets(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),union_of_members(g)))),
% 0.13/5.58 inference(duplicate_literals_removal,[status(thm)],[f340])).
% 0.13/5.58 fof(f355,plain,(
% 0.13/5.58 ![X0]: (element_of_collection(union_of_members(g),top_of_basis(X0))|~element_of_collection(f10(f,f1(g,f11(X0,union_of_members(g))),f11(X0,union_of_members(g))),X0))),
% 0.13/5.58 inference(forward_subsumption_resolution,[status(thm)],[f354,f87])).
% 0.13/5.58 fof(f366,plain,(
% 0.13/5.58 element_of_collection(union_of_members(g),top_of_basis(f))|element_of_collection(union_of_members(g),top_of_basis(f))),
% 0.13/5.58 inference(resolution,[status(thm)],[f355,f83])).
% 0.13/5.58 fof(f369,definition,(
% 0.13/5.58 sQ5_spl <=> (element_of_collection(union_of_members(g),top_of_basis(f)))),
% 0.13/5.58 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/5.58 fof(f370,plain,(
% 0.13/5.58 element_of_collection(union_of_members(g),top_of_basis(f))|~sQ5_spl),
% 0.13/5.58 inference(component_clause,[status(thm)],[f369])).
% 0.13/5.58 fof(f372,plain,(
% 0.13/5.58 sQ5_spl),
% 0.13/5.58 inference(split_clause,[status(thm)],[f366,f369])).
% 0.13/5.58 fof(f377,plain,(
% 0.13/5.58 $false|~sQ5_spl),
% 0.13/5.58 inference(forward_subsumption_resolution,[status(thm)],[f370,f28])).
% 0.13/5.58 fof(f378,plain,(
% 0.13/5.58 ~sQ5_spl),
% 0.13/5.58 inference(contradiction_clause,[status(thm)],[f377])).
% 0.13/5.58 fof(f379,plain,(
% 0.13/5.58 $false),
% 0.13/5.58 inference(sat_refutation,[status(thm)],[f372,f378])).
% 0.13/5.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.58 % Elapsed time: 0.209751 seconds
% 0.13/5.58 % CPU time: 1.513358 seconds
% 0.13/5.58 % Total memory used: 41.367 MB
% 0.13/5.58 % Net memory used: 35.943 MB
%------------------------------------------------------------------------------