%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : TOP001-2 : 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 : n014.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 03:53:32 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 12:37:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,axiom,(
% 0.11/0.41 (![U,Vf]: (( ~ element_of_set(U,union_of_members(Vf))| element_of_set(U,f1(Vf,U)) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f2,axiom,(
% 0.11/0.41 (![U,Vf]: (( ~ element_of_set(U,union_of_members(Vf))| element_of_collection(f1(Vf,U),Vf) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f3,axiom,(
% 0.11/0.41 (![U,Vf,Uu1]: (( element_of_set(U,union_of_members(Vf))| ~ element_of_set(U,Uu1)| ~ element_of_collection(Uu1,Vf) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f4,axiom,(
% 0.11/0.41 (![X,Vf]: (( ~ basis(X,Vf)| equal_sets(union_of_members(Vf),X) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f5,axiom,(
% 0.11/0.41 (![U,Vf,X]: (( ~ element_of_collection(U,top_of_basis(Vf))| ~ element_of_set(X,U)| element_of_set(X,f10(Vf,U,X)) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f6,axiom,(
% 0.11/0.41 (![U,Vf,X]: (( ~ element_of_collection(U,top_of_basis(Vf))| ~ element_of_set(X,U)| element_of_collection(f10(Vf,U,X),Vf) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f8,axiom,(
% 0.11/0.41 (![X,Y,U]: (( ~ subset_sets(X,Y)| ~ element_of_set(U,X)| element_of_set(U,Y) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,axiom,(
% 0.11/0.41 (![X,Y]: (( ~ equal_sets(X,Y)| subset_sets(X,Y) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f10,axiom,(
% 0.11/0.41 (![X,Y]: (( subset_sets(X,Y)| element_of_set(in_1st_set(X,Y),X) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f11,axiom,(
% 0.11/0.41 (![X,Y]: (( subset_sets(X,Y)| ~ element_of_set(in_1st_set(X,Y),Y) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f12,negated_conjecture,(
% 0.11/0.41 basis(cx,f) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f13,negated_conjecture,(
% 0.11/0.41 ~ subset_sets(union_of_members(top_of_basis(f)),cx) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f14,plain,(
% 0.11/0.41 ![X0,X1]: (~element_of_set(X0,union_of_members(X1))|element_of_set(X0,f1(X1,X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.41 fof(f15,plain,(
% 0.11/0.41 ![X0,X1]: (~element_of_set(X0,union_of_members(X1))|element_of_collection(f1(X1,X0),X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.41 fof(f16,plain,(
% 0.11/0.41 ![Vf,Uu1]: ((![U]: (element_of_set(U,union_of_members(Vf))|~element_of_set(U,Uu1)))|~element_of_collection(Uu1,Vf))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.11/0.41 fof(f17,plain,(
% 0.11/0.41 ![X0,X1,X2]: (element_of_set(X0,union_of_members(X1))|~element_of_set(X0,X2)|~element_of_collection(X2,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f18,plain,(
% 0.11/0.41 ![X0,X1]: (~basis(X0,X1)|equal_sets(union_of_members(X1),X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.41 fof(f19,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~element_of_collection(X0,top_of_basis(X1))|~element_of_set(X2,X0)|element_of_set(X2,f10(X1,X0,X2)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.41 fof(f20,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~element_of_collection(X0,top_of_basis(X1))|~element_of_set(X2,X0)|element_of_collection(f10(X1,X0,X2),X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.41 fof(f22,plain,(
% 0.11/0.41 ![Y,U]: ((![X]: (~subset_sets(X,Y)|~element_of_set(U,X)))|element_of_set(U,Y))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.11/0.41 fof(f23,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~subset_sets(X0,X1)|~element_of_set(X2,X0)|element_of_set(X2,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.41 fof(f24,plain,(
% 0.11/0.41 ![X0,X1]: (~equal_sets(X0,X1)|subset_sets(X0,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.41 fof(f25,plain,(
% 0.11/0.41 ![X0,X1]: (subset_sets(X0,X1)|element_of_set(in_1st_set(X0,X1),X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.41 fof(f26,plain,(
% 0.11/0.41 ![X0,X1]: (subset_sets(X0,X1)|~element_of_set(in_1st_set(X0,X1),X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.41 fof(f27,plain,(
% 0.11/0.41 basis(cx,f)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.42 fof(f28,plain,(
% 0.11/0.42 ~subset_sets(union_of_members(top_of_basis(f)),cx)),
% 0.11/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.42 fof(f32,plain,(
% 0.11/0.42 ![X0,X1,X2]: (subset_sets(X0,X1)|~subset_sets(X2,X1)|~element_of_set(in_1st_set(X0,X1),X2))),
% 0.11/0.42 inference(resolution,[status(thm)],[f26,f23])).
% 0.11/0.42 fof(f33,plain,(
% 0.11/0.42 ![X0,X1,X2]: (subset_sets(X0,X1)|~element_of_set(in_1st_set(X0,X1),X2)|~equal_sets(X2,X1))),
% 0.11/0.42 inference(resolution,[status(thm)],[f32,f24])).
% 0.11/0.42 fof(f35,plain,(
% 0.11/0.42 ![X0,X1,X2]: (subset_sets(X0,X1)|~element_of_set(in_1st_set(X0,X1),union_of_members(X2))|~basis(X1,X2))),
% 0.11/0.42 inference(resolution,[status(thm)],[f33,f18])).
% 0.11/0.42 fof(f36,plain,(
% 0.11/0.42 ![X0]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),union_of_members(f)))),
% 0.11/0.42 inference(resolution,[status(thm)],[f35,f27])).
% 0.11/0.42 fof(f42,plain,(
% 0.11/0.42 ![X0,X1]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),X1)|~element_of_collection(X1,f))),
% 0.11/0.42 inference(resolution,[status(thm)],[f36,f17])).
% 0.11/0.42 fof(f49,plain,(
% 0.11/0.42 ![X0,X1,X2]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),f10(f,X1,X2))|~element_of_collection(X1,top_of_basis(f))|~element_of_set(X2,X1))),
% 0.11/0.42 inference(resolution,[status(thm)],[f42,f20])).
% 0.11/0.42 fof(f60,plain,(
% 0.11/0.42 ![X0,X1,X2]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),f10(f,f1(top_of_basis(f),X1),X2))|~element_of_set(X2,f1(top_of_basis(f),X1))|~element_of_set(X1,union_of_members(top_of_basis(f))))),
% 0.11/0.42 inference(resolution,[status(thm)],[f49,f15])).
% 0.11/0.42 fof(f68,plain,(
% 0.11/0.42 ![X0,X1]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),f1(top_of_basis(f),X1))|~element_of_set(X1,union_of_members(top_of_basis(f)))|~element_of_collection(f1(top_of_basis(f),X1),top_of_basis(f))|~element_of_set(in_1st_set(X0,cx),f1(top_of_basis(f),X1)))),
% 0.11/0.42 inference(resolution,[status(thm)],[f60,f19])).
% 0.11/0.42 fof(f71,plain,(
% 0.11/0.42 ![X0,X1]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),f1(top_of_basis(f),X1))|~element_of_set(X1,union_of_members(top_of_basis(f)))|~element_of_collection(f1(top_of_basis(f),X1),top_of_basis(f)))),
% 0.11/0.42 inference(duplicate_literals_removal,[status(thm)],[f68])).
% 0.11/0.42 fof(f72,plain,(
% 0.11/0.42 ![X0,X1]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),f1(top_of_basis(f),X1))|~element_of_set(X1,union_of_members(top_of_basis(f))))),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f71,f15])).
% 0.11/0.42 fof(f74,plain,(
% 0.11/0.42 ![X0]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),union_of_members(top_of_basis(f)))|~element_of_set(in_1st_set(X0,cx),union_of_members(top_of_basis(f))))),
% 0.11/0.42 inference(resolution,[status(thm)],[f72,f14])).
% 0.11/0.42 fof(f77,plain,(
% 0.11/0.42 ![X0]: (subset_sets(X0,cx)|~element_of_set(in_1st_set(X0,cx),union_of_members(top_of_basis(f))))),
% 0.11/0.42 inference(duplicate_literals_removal,[status(thm)],[f74])).
% 0.11/0.42 fof(f78,plain,(
% 0.11/0.42 subset_sets(union_of_members(top_of_basis(f)),cx)|subset_sets(union_of_members(top_of_basis(f)),cx)),
% 0.11/0.42 inference(resolution,[status(thm)],[f77,f25])).
% 0.11/0.42 fof(f81,definition,(
% 0.11/0.42 sQ1_spl <=> (subset_sets(union_of_members(top_of_basis(f)),cx))),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f82,plain,(
% 0.11/0.42 subset_sets(union_of_members(top_of_basis(f)),cx)|~sQ1_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f81])).
% 0.11/0.42 fof(f84,plain,(
% 0.11/0.42 sQ1_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f78,f81])).
% 0.11/0.42 fof(f85,plain,(
% 0.11/0.42 $false|~sQ1_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f82,f28])).
% 0.11/0.42 fof(f86,plain,(
% 0.11/0.42 ~sQ1_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f85])).
% 0.11/0.42 fof(f87,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 inference(sat_refutation,[status(thm)],[f84,f86])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.049281 seconds
% 0.11/0.43 % CPU time: 0.120395 seconds
% 0.11/0.43 % Total memory used: 17.192 MB
% 0.11/0.43 % Net memory used: 16.773 MB
%------------------------------------------------------------------------------