%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT327+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:03:42 PM UTC 2026
% Result : Theorem 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT327+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:39:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,conjecture,(
% 0.08/0.37 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r3_lattices(A,B,C)=> ( r2_hidden(B,k22_filter_2(A,B,C))& r2_hidden(C,k22_filter_2(A,B,C)) ) ) ) )) )) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,negated_conjecture,(
% 0.08/0.37 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r3_lattices(A,B,C)=> ( r2_hidden(B,k22_filter_2(A,B,C))& r2_hidden(C,k22_filter_2(A,B,C)) ) ) ) )) )) ))),
% 0.08/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.37 fof(f33,axiom,(
% 0.08/0.37 (! [A,B,C] :( ( ~ v3_struct_0(A)& v6_lattices(A)& v8_lattices(A)& v9_lattices(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A))& m1_subset_1(C,u1_struct_0(A)) )=> r3_lattices(A,B,B) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f36,axiom,(
% 0.08/0.37 (! [A,B,C] :( ( ~ v3_struct_0(A)& v6_lattices(A)& v8_lattices(A)& v9_lattices(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A))& m1_subset_1(C,u1_struct_0(A)) )=> ( r3_lattices(A,B,C)<=> r1_lattices(A,B,C) ) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f41,axiom,(
% 0.08/0.37 (! [A] :( l3_lattices(A)=> ( ( ~ v3_struct_0(A)& v10_lattices(A) )=> ( ~ v3_struct_0(A)& v4_lattices(A)& v5_lattices(A)& v6_lattices(A)& v7_lattices(A)& v8_lattices(A)& v9_lattices(A) ) ) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f44,axiom,(
% 0.08/0.37 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> ( r3_lattices(A,B,C)=> ( r2_hidden(D,k22_filter_2(A,B,C))<=> ( r3_lattices(A,B,D)& r3_lattices(A,D,C) ) ) ) ) )) )) )) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f45,plain,(
% 0.08/0.37 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(?[B]: (m1_subset_1(B,u1_struct_0(A))&(?[C]: (m1_subset_1(C,u1_struct_0(A))&(r3_lattices(A,B,C)&(~r2_hidden(B,k22_filter_2(A,B,C))|~r2_hidden(C,k22_filter_2(A,B,C))))))))))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f46,plain,(
% 0.08/0.37 (((~v3_struct_0(sK0_skl)&v10_lattices(sK0_skl))&l3_lattices(sK0_skl))&(m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))&(m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))&(r3_lattices(sK0_skl,sK1_skl,sK2_skl)&(~r2_hidden(sK1_skl,k22_filter_2(sK0_skl,sK1_skl,sK2_skl))|~r2_hidden(sK2_skl,k22_filter_2(sK0_skl,sK1_skl,sK2_skl)))))))),
% 0.08/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f45])).
% 0.08/0.37 fof(f47,plain,(
% 0.08/0.37 ~v3_struct_0(sK0_skl)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.37 fof(f48,plain,(
% 0.08/0.37 v10_lattices(sK0_skl)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.37 fof(f49,plain,(
% 0.08/0.37 l3_lattices(sK0_skl)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.37 fof(f50,plain,(
% 0.08/0.37 m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.37 fof(f51,plain,(
% 0.08/0.37 m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.37 fof(f52,plain,(
% 0.08/0.37 r3_lattices(sK0_skl,sK1_skl,sK2_skl)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.37 fof(f53,plain,(
% 0.08/0.37 ~r2_hidden(sK1_skl,k22_filter_2(sK0_skl,sK1_skl,sK2_skl))|~r2_hidden(sK2_skl,k22_filter_2(sK0_skl,sK1_skl,sK2_skl))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.37 fof(f121,plain,(
% 0.08/0.37 ![A,B,C]: (((((((v3_struct_0(A)|~v6_lattices(A))|~v8_lattices(A))|~v9_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|~m1_subset_1(C,u1_struct_0(A)))|r3_lattices(A,B,B))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.08/0.37 fof(f122,plain,(
% 0.08/0.37 ![A,B]: (((((((v3_struct_0(A)|~v6_lattices(A))|~v8_lattices(A))|~v9_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|(![C]: ~m1_subset_1(C,u1_struct_0(A))))|r3_lattices(A,B,B))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f121])).
% 0.08/0.37 fof(f123,plain,(
% 0.08/0.37 ![X0,X1,X2]: (v3_struct_0(X0)|~v6_lattices(X0)|~v8_lattices(X0)|~v9_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|r3_lattices(X0,X1,X1))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f122])).
% 0.08/0.37 fof(f128,plain,(
% 0.08/0.37 ![A,B,C]: (((((((v3_struct_0(A)|~v6_lattices(A))|~v8_lattices(A))|~v9_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|~m1_subset_1(C,u1_struct_0(A)))|(r3_lattices(A,B,C)<=>r1_lattices(A,B,C)))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.08/0.37 fof(f129,plain,(
% 0.08/0.37 ![A,B,C]: (((((((v3_struct_0(A)|~v6_lattices(A))|~v8_lattices(A))|~v9_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|~m1_subset_1(C,u1_struct_0(A)))|((~r3_lattices(A,B,C)|r1_lattices(A,B,C))&(r3_lattices(A,B,C)|~r1_lattices(A,B,C))))),
% 0.08/0.37 inference(NNF_transformation,[status(thm)],[f128])).
% 0.08/0.37 fof(f130,plain,(
% 0.08/0.37 ![X0,X1,X2]: (v3_struct_0(X0)|~v6_lattices(X0)|~v8_lattices(X0)|~v9_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~r3_lattices(X0,X1,X2)|r1_lattices(X0,X1,X2))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.37 fof(f131,plain,(
% 0.08/0.37 ![X0,X1,X2]: (v3_struct_0(X0)|~v6_lattices(X0)|~v8_lattices(X0)|~v9_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|r3_lattices(X0,X1,X2)|~r1_lattices(X0,X1,X2))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f129])).
% 0.08/0.37 fof(f138,plain,(
% 0.08/0.37 ![A]: (~l3_lattices(A)|((v3_struct_0(A)|~v10_lattices(A))|((((((~v3_struct_0(A)&v4_lattices(A))&v5_lattices(A))&v6_lattices(A))&v7_lattices(A))&v8_lattices(A))&v9_lattices(A))))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.08/0.37 fof(f142,plain,(
% 0.08/0.37 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v6_lattices(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f138])).
% 0.08/0.37 fof(f144,plain,(
% 0.08/0.37 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v8_lattices(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f138])).
% 0.08/0.37 fof(f145,plain,(
% 0.08/0.37 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v9_lattices(X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f138])).
% 0.08/0.37 fof(f151,plain,(
% 0.08/0.37 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(![D]: (~m1_subset_1(D,u1_struct_0(A))|(~r3_lattices(A,B,C)|(r2_hidden(D,k22_filter_2(A,B,C))<=>(r3_lattices(A,B,D)&r3_lattices(A,D,C)))))))))))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.08/0.37 fof(f152,plain,(
% 0.08/0.37 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(![D]: (~m1_subset_1(D,u1_struct_0(A))|(~r3_lattices(A,B,C)|((~r2_hidden(D,k22_filter_2(A,B,C))|(r3_lattices(A,B,D)&r3_lattices(A,D,C)))&(r2_hidden(D,k22_filter_2(A,B,C))|(~r3_lattices(A,B,D)|~r3_lattices(A,D,C))))))))))))),
% 0.08/0.37 inference(NNF_transformation,[status(thm)],[f151])).
% 0.08/0.37 fof(f155,plain,(
% 0.08/0.37 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~r3_lattices(X0,X1,X2)|r2_hidden(X3,k22_filter_2(X0,X1,X2))|~r3_lattices(X0,X1,X3)|~r3_lattices(X0,X3,X2))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f152])).
% 0.08/0.37 fof(f156,definition,(
% 0.08/0.37 sQ0_spl <=> (r2_hidden(sK1_skl,k22_filter_2(sK0_skl,sK1_skl,sK2_skl)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f159,definition,(
% 0.08/0.37 sQ1_spl <=> (r2_hidden(sK2_skl,k22_filter_2(sK0_skl,sK1_skl,sK2_skl)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f162,plain,(
% 0.08/0.37 ~sQ0_spl|~sQ1_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f53,f156,f159])).
% 0.08/0.37 fof(f176,plain,(
% 0.08/0.37 ![X0]: (v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(sK0_skl))|r2_hidden(X0,k22_filter_2(sK0_skl,sK1_skl,sK2_skl))|~r3_lattices(sK0_skl,sK1_skl,X0)|~r3_lattices(sK0_skl,X0,sK2_skl))),
% 0.08/0.37 inference(resolution,[status(thm)],[f155,f52])).
% 0.08/0.37 fof(f177,definition,(
% 0.08/0.37 sQ5_spl <=> (v3_struct_0(sK0_skl))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f178,plain,(
% 0.08/0.37 v3_struct_0(sK0_skl)|~sQ5_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f177])).
% 0.08/0.37 fof(f180,definition,(
% 0.08/0.37 sQ6_spl <=> (v10_lattices(sK0_skl))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f182,plain,(
% 0.08/0.37 ~v10_lattices(sK0_skl)|sQ6_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f180])).
% 0.08/0.37 fof(f183,definition,(
% 0.08/0.37 sQ7_spl <=> (l3_lattices(sK0_skl))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f185,plain,(
% 0.08/0.37 ~l3_lattices(sK0_skl)|sQ7_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f183])).
% 0.08/0.37 fof(f186,definition,(
% 0.08/0.37 sQ8_spl <=> (m1_subset_1(sK1_skl,u1_struct_0(sK0_skl)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f188,plain,(
% 0.08/0.37 ~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|sQ8_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f186])).
% 0.08/0.37 fof(f189,definition,(
% 0.08/0.37 sQ9_spl <=> (m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f191,plain,(
% 0.08/0.37 ~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|sQ9_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f189])).
% 0.08/0.37 fof(f192,definition,(
% 0.08/0.37 ![X0]: (sQ10_spl <=> (~m1_subset_1(X0,u1_struct_0(sK0_skl))|r2_hidden(X0,k22_filter_2(sK0_skl,sK1_skl,sK2_skl))|~r3_lattices(sK0_skl,sK1_skl,X0)|~r3_lattices(sK0_skl,X0,sK2_skl)))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f193,plain,(
% 0.08/0.37 ![X0]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|r2_hidden(X0,k22_filter_2(sK0_skl,sK1_skl,sK2_skl))|~r3_lattices(sK0_skl,sK1_skl,X0)|~r3_lattices(sK0_skl,X0,sK2_skl)|~sQ10_spl)),
% 0.08/0.37 inference(component_clause,[status(thm)],[f192])).
% 0.08/0.37 fof(f195,plain,(
% 0.08/0.37 sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ10_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f176,f177,f180,f183,f186,f189,f192])).
% 0.08/0.37 fof(f204,plain,(
% 0.08/0.37 $false|sQ7_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f185,f49])).
% 0.08/0.37 fof(f205,plain,(
% 0.08/0.37 sQ7_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f204])).
% 0.08/0.37 fof(f206,plain,(
% 0.08/0.37 $false|~sQ5_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f178,f47])).
% 0.08/0.37 fof(f207,plain,(
% 0.08/0.37 ~sQ5_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f206])).
% 0.08/0.37 fof(f218,plain,(
% 0.08/0.37 ~l3_lattices(sK0_skl)|v3_struct_0(sK0_skl)|v6_lattices(sK0_skl)),
% 0.08/0.37 inference(resolution,[status(thm)],[f142,f48])).
% 0.08/0.37 fof(f219,definition,(
% 0.08/0.37 sQ14_spl <=> (v6_lattices(sK0_skl))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f222,plain,(
% 0.08/0.37 ~sQ7_spl|sQ5_spl|sQ14_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f218,f183,f177,f219])).
% 0.08/0.37 fof(f228,plain,(
% 0.08/0.37 ~l3_lattices(sK0_skl)|v3_struct_0(sK0_skl)|v8_lattices(sK0_skl)),
% 0.08/0.37 inference(resolution,[status(thm)],[f144,f48])).
% 0.08/0.37 fof(f229,definition,(
% 0.08/0.37 sQ16_spl <=> (v8_lattices(sK0_skl))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f232,plain,(
% 0.08/0.37 ~sQ7_spl|sQ5_spl|sQ16_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f228,f183,f177,f229])).
% 0.08/0.37 fof(f233,plain,(
% 0.08/0.37 ~l3_lattices(sK0_skl)|v3_struct_0(sK0_skl)|v9_lattices(sK0_skl)),
% 0.08/0.37 inference(resolution,[status(thm)],[f145,f48])).
% 0.08/0.37 fof(f234,definition,(
% 0.08/0.37 sQ17_spl <=> (v9_lattices(sK0_skl))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f237,plain,(
% 0.08/0.37 ~sQ7_spl|sQ5_spl|sQ17_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f233,f183,f177,f234])).
% 0.08/0.37 fof(f259,plain,(
% 0.08/0.37 ![X0]: (v3_struct_0(sK0_skl)|~v6_lattices(sK0_skl)|~v8_lattices(sK0_skl)|~v9_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|r3_lattices(sK0_skl,X0,X0))),
% 0.08/0.37 inference(resolution,[status(thm)],[f123,f51])).
% 0.08/0.37 fof(f262,definition,(
% 0.08/0.37 ![X0]: (sQ19_spl <=> (~m1_subset_1(X0,u1_struct_0(sK0_skl))|r3_lattices(sK0_skl,X0,X0)))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f263,plain,(
% 0.08/0.38 ![X0]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|r3_lattices(sK0_skl,X0,X0)|~sQ19_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f262])).
% 0.08/0.38 fof(f265,plain,(
% 0.08/0.38 sQ5_spl|~sQ14_spl|~sQ16_spl|~sQ17_spl|~sQ7_spl|sQ19_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f259,f177,f219,f229,f234,f183,f262])).
% 0.08/0.38 fof(f276,plain,(
% 0.08/0.38 $false|sQ6_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f182,f48])).
% 0.08/0.38 fof(f277,plain,(
% 0.08/0.38 sQ6_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f276])).
% 0.08/0.38 fof(f280,plain,(
% 0.08/0.38 v3_struct_0(sK0_skl)|~v6_lattices(sK0_skl)|~v8_lattices(sK0_skl)|~v9_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|r1_lattices(sK0_skl,sK1_skl,sK2_skl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f130,f52])).
% 0.08/0.38 fof(f290,definition,(
% 0.08/0.38 sQ23_spl <=> (r1_lattices(sK0_skl,sK1_skl,sK2_skl))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f291,plain,(
% 0.08/0.38 r1_lattices(sK0_skl,sK1_skl,sK2_skl)|~sQ23_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f290])).
% 0.08/0.38 fof(f293,plain,(
% 0.08/0.38 sQ5_spl|~sQ14_spl|~sQ16_spl|~sQ17_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ23_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f280,f177,f219,f229,f234,f183,f186,f189,f290])).
% 0.08/0.38 fof(f295,plain,(
% 0.08/0.38 $false|sQ9_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f191,f51])).
% 0.08/0.38 fof(f296,plain,(
% 0.08/0.38 sQ9_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f295])).
% 0.08/0.38 fof(f297,plain,(
% 0.08/0.38 $false|sQ8_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f188,f50])).
% 0.08/0.38 fof(f298,plain,(
% 0.08/0.38 sQ8_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f297])).
% 0.08/0.38 fof(f364,plain,(
% 0.08/0.38 v3_struct_0(sK0_skl)|~v6_lattices(sK0_skl)|~v8_lattices(sK0_skl)|~v9_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|r3_lattices(sK0_skl,sK1_skl,sK2_skl)|~sQ23_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f291,f131])).
% 0.08/0.38 fof(f366,definition,(
% 0.08/0.38 sQ31_spl <=> (r3_lattices(sK0_skl,sK1_skl,sK2_skl))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f369,plain,(
% 0.08/0.38 sQ5_spl|~sQ14_spl|~sQ16_spl|~sQ17_spl|~sQ7_spl|~sQ8_spl|~sQ9_spl|sQ31_spl|~sQ23_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f364,f177,f219,f229,f234,f183,f186,f189,f366,f290])).
% 0.08/0.38 fof(f370,plain,(
% 0.08/0.38 r3_lattices(sK0_skl,sK2_skl,sK2_skl)|~sQ19_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f263,f51])).
% 0.08/0.38 fof(f385,definition,(
% 0.08/0.38 ![X0]: (sQ34_spl <=> (~m1_subset_1(X0,u1_struct_0(sK0_skl))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f386,plain,(
% 0.08/0.38 ![X0]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~sQ34_spl)),
% 0.08/0.38 inference(component_clause,[status(thm)],[f385])).
% 0.08/0.38 fof(f418,plain,(
% 0.08/0.38 $false|~sQ34_spl),
% 0.08/0.38 inference(backward_subsumption_resolution,[status(thm)],[f51,f386])).
% 0.08/0.38 fof(f421,plain,(
% 0.08/0.38 ~sQ34_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f418])).
% 0.08/0.38 fof(f493,plain,(
% 0.08/0.38 ~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|r2_hidden(sK2_skl,k22_filter_2(sK0_skl,sK1_skl,sK2_skl))|~r3_lattices(sK0_skl,sK2_skl,sK2_skl)|~sQ10_spl),
% 0.08/0.38 inference(resolution,[status(thm)],[f193,f52])).
% 0.08/0.38 fof(f495,plain,(
% 0.08/0.38 ![X0]: (~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|r2_hidden(sK1_skl,k22_filter_2(sK0_skl,sK1_skl,sK2_skl))|~r3_lattices(sK0_skl,sK1_skl,sK2_skl)|v3_struct_0(sK0_skl)|~v6_lattices(sK0_skl)|~v8_lattices(sK0_skl)|~v9_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(sK0_skl))|~sQ10_spl)),
% 0.08/0.38 inference(resolution,[status(thm)],[f193,f123])).
% 0.08/0.38 fof(f496,definition,(
% 0.08/0.38 sQ42_spl <=> (r3_lattices(sK0_skl,sK2_skl,sK2_skl))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f498,plain,(
% 0.08/0.38 ~r3_lattices(sK0_skl,sK2_skl,sK2_skl)|sQ42_spl),
% 0.08/0.38 inference(component_clause,[status(thm)],[f496])).
% 0.08/0.38 fof(f499,plain,(
% 0.08/0.38 ~sQ9_spl|sQ1_spl|~sQ42_spl|~sQ10_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f493,f189,f159,f496,f192])).
% 0.08/0.38 fof(f504,plain,(
% 0.08/0.38 ~sQ8_spl|sQ0_spl|~sQ31_spl|sQ5_spl|~sQ14_spl|~sQ16_spl|~sQ17_spl|~sQ7_spl|sQ34_spl|~sQ10_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f495,f186,f156,f366,f177,f219,f229,f234,f183,f385,f192])).
% 0.08/0.38 fof(f505,plain,(
% 0.08/0.38 $false|~sQ19_spl|sQ42_spl),
% 0.08/0.38 inference(forward_subsumption_resolution,[status(thm)],[f498,f370])).
% 0.08/0.38 fof(f506,plain,(
% 0.08/0.38 ~sQ19_spl|sQ42_spl),
% 0.08/0.38 inference(contradiction_clause,[status(thm)],[f505])).
% 0.08/0.38 fof(f507,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(sat_refutation,[status(thm)],[f162,f195,f205,f207,f222,f232,f237,f265,f277,f293,f296,f298,f369,f421,f499,f504,f506])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.050935 seconds
% 0.12/0.41 % CPU time: 0.117938 seconds
% 0.12/0.41 % Total memory used: 21.730 MB
% 0.12/0.41 % Net memory used: 21.669 MB
%------------------------------------------------------------------------------