%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT311+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 : n004.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 01:03:38 PM UTC 2026
% Result : Theorem 22.93s 3.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT311+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
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 23:33:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 22.93/3.38 % Refutation found
% 22.93/3.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 22.93/3.38 % SZS output start CNFRefutation for theBenchmark
% 22.93/3.38 fof(f1,conjecture,(
% 22.93/3.38 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )=> ( r2_hidden(B,C)=> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C)) ) ) )) )) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f2,negated_conjecture,(
% 22.93/3.38 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )=> ( r2_hidden(B,C)=> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C)) ) ) )) )) ))),
% 22.93/3.38 inference(negated_conjecture,[status(cth)],[f1])).
% 22.93/3.38 fof(f12,axiom,(
% 22.93/3.38 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> k5_filter_2(A,B) = B ) )) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f13,axiom,(
% 22.93/3.38 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> k7_filter_2(A,B) = B ) )) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f14,axiom,(
% 22.93/3.38 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))=> k8_filter_2(A,B) = B ) )) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f19,axiom,(
% 22.93/3.38 (! [A] :( l3_lattices(A)=> ( v3_lattices(k1_lattice2(A))& l3_lattices(k1_lattice2(A)) ) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f27,axiom,(
% 22.93/3.38 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A)) )=> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f28,axiom,(
% 22.93/3.38 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f56,axiom,(
% 22.93/3.38 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A)) ) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f58,axiom,(
% 22.93/3.38 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f67,axiom,(
% 22.93/3.38 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A))& v4_lattices(k1_lattice2(A))& v5_lattices(k1_lattice2(A))& v6_lattices(k1_lattice2(A))& v7_lattices(k1_lattice2(A))& v8_lattices(k1_lattice2(A))& v9_lattices(k1_lattice2(A))& v10_lattices(k1_lattice2(A)) ) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f84,axiom,(
% 22.93/3.38 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A)) )=> k2_filter_2(A,B) = k2_filter_0(A,B) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f85,axiom,(
% 22.93/3.38 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> k3_filter_2(A,B) = k3_filter_0(A,B) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f91,axiom,(
% 22.93/3.38 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f92,axiom,(
% 22.93/3.38 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )=> ( r2_hidden(B,C)=> r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C)) ) ) )) )) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f93,axiom,(
% 22.93/3.38 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 22.93/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.38 fof(f95,axiom,(
% 22.93/3.38 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> ( k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B))& k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B) ) ) )) )),
% 22.93/3.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.39 fof(f96,axiom,(
% 22.93/3.39 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) )=> ( k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B)& k3_filter_2(A,B) = k19_filter_2(k1_lattice2(A),k7_filter_2(A,B))& k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C)& k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)) ) ) )) )) )),
% 22.93/3.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.39 fof(f97,axiom,(
% 22.93/3.39 (! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) )),
% 22.93/3.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.39 fof(f98,axiom,(
% 22.93/3.39 (! [A,B,C] :( ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C)) )=> m1_subset_1(A,C) ) )),
% 22.93/3.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.39 fof(f101,axiom,(
% 22.93/3.39 (! [A,B] :~ ( r2_hidden(A,B)& v1_xboole_0(B) ) )),
% 22.93/3.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 22.93/3.39 fof(f103,plain,(
% 22.93/3.39 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(?[B]: (m1_subset_1(B,u1_struct_0(A))&(?[C]: ((~v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))&(r2_hidden(B,C)&~r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C)))))))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 22.93/3.39 fof(f104,plain,(
% 22.93/3.39 (((~v3_struct_0(sK0_skl)&v10_lattices(sK0_skl))&l3_lattices(sK0_skl))&(m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))&((~v1_xboole_0(sK2_skl)&m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))))&(r2_hidden(sK1_skl,sK2_skl)&~r1_tarski(k18_filter_2(sK0_skl,sK1_skl),k19_filter_2(sK0_skl,sK2_skl))))))),
% 22.93/3.39 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)],[f103])).
% 22.93/3.39 fof(f105,plain,(
% 22.93/3.39 ~v3_struct_0(sK0_skl)),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f104])).
% 22.93/3.39 fof(f106,plain,(
% 22.93/3.39 v10_lattices(sK0_skl)),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f104])).
% 22.93/3.39 fof(f107,plain,(
% 22.93/3.39 l3_lattices(sK0_skl)),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f104])).
% 22.93/3.39 fof(f108,plain,(
% 22.93/3.39 m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f104])).
% 22.93/3.39 fof(f109,plain,(
% 22.93/3.39 ~v1_xboole_0(sK2_skl)),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f104])).
% 22.93/3.39 fof(f110,plain,(
% 22.93/3.39 m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f104])).
% 22.93/3.39 fof(f111,plain,(
% 22.93/3.39 r2_hidden(sK1_skl,sK2_skl)),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f104])).
% 22.93/3.39 fof(f112,plain,(
% 22.93/3.39 ~r1_tarski(k18_filter_2(sK0_skl,sK1_skl),k19_filter_2(sK0_skl,sK2_skl))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f104])).
% 22.93/3.39 fof(f141,plain,(
% 22.93/3.39 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|k5_filter_2(A,B)=B)))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 22.93/3.39 fof(f142,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k5_filter_2(X0,X1)=X1)),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f141])).
% 22.93/3.39 fof(f143,plain,(
% 22.93/3.39 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|k7_filter_2(A,B)=B)))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 22.93/3.39 fof(f144,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|k7_filter_2(X0,X1)=X1)),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f143])).
% 22.93/3.39 fof(f145,plain,(
% 22.93/3.39 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))|k8_filter_2(A,B)=B)))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 22.93/3.39 fof(f146,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))|k8_filter_2(X0,X1)=X1)),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f145])).
% 22.93/3.39 fof(f156,plain,(
% 22.93/3.39 ![A]: (~l3_lattices(A)|(v3_lattices(k1_lattice2(A))&l3_lattices(k1_lattice2(A))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 22.93/3.39 fof(f158,plain,(
% 22.93/3.39 ![X0]: (~l3_lattices(X0)|l3_lattices(k1_lattice2(X0)))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f156])).
% 22.93/3.39 fof(f167,plain,(
% 22.93/3.39 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 22.93/3.39 fof(f168,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f167])).
% 22.93/3.39 fof(f169,plain,(
% 22.93/3.39 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 22.93/3.39 fof(f170,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f169])).
% 22.93/3.39 fof(f229,plain,(
% 22.93/3.39 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 22.93/3.39 fof(f230,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(X0)|~l3_lattices(X0)|~v3_struct_0(k1_lattice2(X0)))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f229])).
% 22.93/3.39 fof(f234,plain,(
% 22.93/3.39 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f58])).
% 22.93/3.39 fof(f267,plain,(
% 22.93/3.39 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((((((((~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A)))&v4_lattices(k1_lattice2(A)))&v5_lattices(k1_lattice2(A)))&v6_lattices(k1_lattice2(A)))&v7_lattices(k1_lattice2(A)))&v8_lattices(k1_lattice2(A)))&v9_lattices(k1_lattice2(A)))&v10_lattices(k1_lattice2(A))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 22.93/3.39 fof(f276,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v10_lattices(k1_lattice2(X0)))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f267])).
% 22.93/3.39 fof(f348,plain,(
% 22.93/3.39 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|k2_filter_2(A,B)=k2_filter_0(A,B))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 22.93/3.39 fof(f349,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k2_filter_2(X0,X1)=k2_filter_0(X0,X1))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f348])).
% 22.93/3.39 fof(f350,plain,(
% 22.93/3.39 ![A,B]: (((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|v1_xboole_0(B))|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|k3_filter_2(A,B)=k3_filter_0(A,B))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 22.93/3.39 fof(f351,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|k3_filter_2(X0,X1)=k3_filter_0(X0,X1))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f350])).
% 22.93/3.39 fof(f370,plain,(
% 22.93/3.39 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f91])).
% 22.93/3.39 fof(f371,plain,(
% 22.93/3.39 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f370])).
% 22.93/3.39 fof(f372,plain,(
% 22.93/3.39 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: ((v1_xboole_0(C)|~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))|(~r2_hidden(B,C)|r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C))))))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f92])).
% 22.93/3.39 fof(f373,plain,(
% 22.93/3.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|v1_xboole_0(X2)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))|~r2_hidden(X1,X2)|r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f372])).
% 22.93/3.39 fof(f374,plain,(
% 22.93/3.39 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f93])).
% 22.93/3.39 fof(f375,plain,(
% 22.93/3.39 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f374])).
% 22.93/3.39 fof(f381,plain,(
% 22.93/3.39 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(k18_filter_2(A,B)=k2_filter_2(k1_lattice2(A),k5_filter_2(A,B))&k18_filter_2(k1_lattice2(A),k5_filter_2(A,B))=k2_filter_2(A,B)))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f95])).
% 22.93/3.39 fof(f382,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k18_filter_2(X0,X1)=k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f381])).
% 22.93/3.39 fof(f384,plain,(
% 22.93/3.39 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((v1_xboole_0(B)|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|(![C]: ((v1_xboole_0(C)|~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))|(((k3_filter_2(k1_lattice2(A),k7_filter_2(A,B))=k19_filter_2(A,B)&k3_filter_2(A,B)=k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)))&k3_filter_2(A,k8_filter_2(A,C))=k19_filter_2(k1_lattice2(A),C))&k3_filter_2(k1_lattice2(A),C)=k19_filter_2(A,k8_filter_2(A,C))))))))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 22.93/3.39 fof(f388,plain,(
% 22.93/3.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|v1_xboole_0(X2)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))|k3_filter_2(k1_lattice2(X0),X2)=k19_filter_2(X0,k8_filter_2(X0,X2)))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f384])).
% 22.93/3.39 fof(f389,plain,(
% 22.93/3.39 ![A,B]: ((~m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B))&(m1_subset_1(A,k1_zfmisc_1(B))|~r1_tarski(A,B)))),
% 22.93/3.39 inference(NNF_transformation,[status(thm)],[f97])).
% 22.93/3.39 fof(f390,plain,(
% 22.93/3.39 (![A,B]: (~m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B)))&(![A,B]: (m1_subset_1(A,k1_zfmisc_1(B))|~r1_tarski(A,B)))),
% 22.93/3.39 inference(miniscoping,[status(thm)],[f389])).
% 22.93/3.39 fof(f391,plain,(
% 22.93/3.39 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|r1_tarski(X0,X1))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f390])).
% 22.93/3.39 fof(f392,plain,(
% 22.93/3.39 ![X0,X1]: (m1_subset_1(X0,k1_zfmisc_1(X1))|~r1_tarski(X0,X1))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f390])).
% 22.93/3.39 fof(f393,plain,(
% 22.93/3.39 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|m1_subset_1(A,C))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f98])).
% 22.93/3.39 fof(f394,plain,(
% 22.93/3.39 ![A,C]: ((![B]: (~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C))))|m1_subset_1(A,C))),
% 22.93/3.39 inference(miniscoping,[status(thm)],[f393])).
% 22.93/3.39 fof(f395,plain,(
% 22.93/3.39 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|m1_subset_1(X0,X2))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f394])).
% 22.93/3.39 fof(f401,plain,(
% 22.93/3.39 ![A,B]: (~r2_hidden(A,B)|~v1_xboole_0(B))),
% 22.93/3.39 inference(pre_NNF_transformation,[status(thm)],[f101])).
% 22.93/3.39 fof(f402,plain,(
% 22.93/3.39 ![B]: ((![A]: ~r2_hidden(A,B))|~v1_xboole_0(B))),
% 22.93/3.39 inference(miniscoping,[status(thm)],[f401])).
% 22.93/3.39 fof(f403,plain,(
% 22.93/3.39 ![X0,X1]: (~r2_hidden(X0,X1)|~v1_xboole_0(X1))),
% 22.93/3.39 inference(cnf_transformation,[status(thm)],[f402])).
% 22.93/3.39 fof(f410,plain,(
% 22.93/3.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~r2_hidden(X2,X1)|r1_tarski(k2_filter_0(X0,X2),k3_filter_0(X0,X1)))),
% 22.93/3.39 inference(backward_subsumption_resolution,[status(thm)],[f373,f395])).
% 22.93/3.39 fof(f411,plain,(
% 22.93/3.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~r2_hidden(X2,X1)|r1_tarski(k2_filter_0(X0,X2),k3_filter_0(X0,X1)))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f410,f403])).
% 22.93/3.39 fof(f421,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|k5_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(resolution,[status(thm)],[f142,f107])).
% 22.93/3.39 fof(f422,plain,(
% 22.93/3.39 ![X0]: (~v10_lattices(sK0_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|k5_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f421,f105])).
% 22.93/3.39 fof(f423,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|k7_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(resolution,[status(thm)],[f144,f107])).
% 22.93/3.39 fof(f424,plain,(
% 22.93/3.39 ![X0]: (~v10_lattices(sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|k7_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f423,f105])).
% 22.93/3.39 fof(f425,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k8_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(resolution,[status(thm)],[f146,f107])).
% 22.93/3.39 fof(f426,plain,(
% 22.93/3.39 ![X0]: (~v10_lattices(sK0_skl)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k8_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f425,f105])).
% 22.93/3.39 fof(f427,plain,(
% 22.93/3.39 l3_lattices(k1_lattice2(sK0_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f158,f107])).
% 22.93/3.39 fof(f429,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))|r2_hidden(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))))),
% 22.93/3.39 inference(resolution,[status(thm)],[f170,f375])).
% 22.93/3.39 fof(f430,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|r2_hidden(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f429,f234])).
% 22.93/3.39 fof(f442,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|k5_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(resolution,[status(thm)],[f422,f106])).
% 22.93/3.39 fof(f443,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|k7_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(resolution,[status(thm)],[f424,f106])).
% 22.93/3.39 fof(f448,plain,(
% 22.93/3.39 ![X0,X1]: (r1_tarski(X0,X1)|~r2_hidden(X0,k1_zfmisc_1(X1)))),
% 22.93/3.39 inference(resolution,[status(thm)],[f391,f371])).
% 22.93/3.39 fof(f453,plain,(
% 22.93/3.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~r2_hidden(X2,X1)|m1_subset_1(k2_filter_0(X0,X2),k1_zfmisc_1(k3_filter_0(X0,X1))))),
% 22.93/3.39 inference(resolution,[status(thm)],[f411,f392])).
% 22.93/3.39 fof(f454,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k8_filter_2(sK0_skl,X0)=X0)),
% 22.93/3.39 inference(resolution,[status(thm)],[f426,f106])).
% 22.93/3.39 fof(f501,plain,(
% 22.93/3.39 k5_filter_2(sK0_skl,sK1_skl)=sK1_skl),
% 22.93/3.39 inference(resolution,[status(thm)],[f442,f108])).
% 22.93/3.39 fof(f506,plain,(
% 22.93/3.39 k7_filter_2(sK0_skl,sK2_skl)=sK2_skl),
% 22.93/3.39 inference(resolution,[status(thm)],[f443,f110])).
% 22.93/3.39 fof(f574,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(k1_lattice2(X0))|~l3_lattices(k1_lattice2(X0))|~m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))|k2_filter_2(k1_lattice2(X0),X1)=k2_filter_0(k1_lattice2(X0),X1)|v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0))),
% 22.93/3.39 inference(resolution,[status(thm)],[f349,f276])).
% 22.93/3.39 fof(f577,plain,(
% 22.93/3.39 ![X0,X1]: (~l3_lattices(k1_lattice2(X0))|~m1_subset_1(X1,u1_struct_0(k1_lattice2(X0)))|k2_filter_2(k1_lattice2(X0),X1)=k2_filter_0(k1_lattice2(X0),X1)|v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f574,f230])).
% 22.93/3.39 fof(f580,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(k1_lattice2(X0))|~l3_lattices(k1_lattice2(X0))|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))|k3_filter_2(k1_lattice2(X0),X1)=k3_filter_0(k1_lattice2(X0),X1)|v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0))),
% 22.93/3.39 inference(resolution,[status(thm)],[f351,f276])).
% 22.93/3.39 fof(f583,plain,(
% 22.93/3.39 ![X0,X1]: (~l3_lattices(k1_lattice2(X0))|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))|k3_filter_2(k1_lattice2(X0),X1)=k3_filter_0(k1_lattice2(X0),X1)|v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f580,f230])).
% 22.93/3.39 fof(f587,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|k18_filter_2(sK0_skl,X0)=k2_filter_2(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,X0)))),
% 22.93/3.39 inference(resolution,[status(thm)],[f382,f106])).
% 22.93/3.39 fof(f590,plain,(
% 22.93/3.39 ![X0]: (~l3_lattices(sK0_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|k18_filter_2(sK0_skl,X0)=k2_filter_2(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,X0)))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f587,f105])).
% 22.93/3.39 fof(f593,plain,(
% 22.93/3.39 ![X0,X1]: (v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X1)=k19_filter_2(sK0_skl,k8_filter_2(sK0_skl,X1)))),
% 22.93/3.39 inference(resolution,[status(thm)],[f388,f106])).
% 22.93/3.39 fof(f596,plain,(
% 22.93/3.39 ![X0,X1]: (~l3_lattices(sK0_skl)|v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X1)=k19_filter_2(sK0_skl,k8_filter_2(sK0_skl,X1)))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f593,f105])).
% 22.93/3.39 fof(f614,plain,(
% 22.93/3.39 ![X0]: (k8_filter_2(sK0_skl,X0)=X0|~r2_hidden(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))))),
% 22.93/3.39 inference(resolution,[status(thm)],[f454,f371])).
% 22.93/3.39 fof(f625,plain,(
% 22.93/3.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~r2_hidden(X2,X1)|v1_xboole_0(k1_zfmisc_1(k3_filter_0(X0,X1)))|r2_hidden(k2_filter_0(X0,X2),k1_zfmisc_1(k3_filter_0(X0,X1))))),
% 22.93/3.39 inference(resolution,[status(thm)],[f453,f375])).
% 22.93/3.39 fof(f626,plain,(
% 22.93/3.39 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~r2_hidden(X2,X1)|r2_hidden(k2_filter_0(X0,X2),k1_zfmisc_1(k3_filter_0(X0,X1))))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f625,f234])).
% 22.93/3.39 fof(f652,plain,(
% 22.93/3.39 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(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl)))),
% 22.93/3.39 inference(paramodulation,[status(thm)],[f501,f168])).
% 22.93/3.39 fof(f654,plain,(
% 22.93/3.39 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|m1_subset_1(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl)))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f652,f105])).
% 22.93/3.39 fof(f665,plain,(
% 22.93/3.39 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|r2_hidden(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(paramodulation,[status(thm)],[f506,f430])).
% 22.93/3.39 fof(f666,plain,(
% 22.93/3.39 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(paramodulation,[status(thm)],[f506,f170])).
% 22.93/3.39 fof(f668,plain,(
% 22.93/3.39 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|r2_hidden(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f665,f105])).
% 22.93/3.39 fof(f669,plain,(
% 22.93/3.39 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f666,f105])).
% 22.93/3.39 fof(f730,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|k18_filter_2(sK0_skl,X0)=k2_filter_2(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,X0)))),
% 22.93/3.39 inference(resolution,[status(thm)],[f590,f107])).
% 22.93/3.39 fof(f731,plain,(
% 22.93/3.39 ![X0,X1]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X1)=k19_filter_2(sK0_skl,k8_filter_2(sK0_skl,X1)))),
% 22.93/3.39 inference(resolution,[status(thm)],[f596,f107])).
% 22.93/3.39 fof(f753,plain,(
% 22.93/3.39 ~v10_lattices(sK0_skl)|~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|m1_subset_1(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl)))),
% 22.93/3.39 inference(resolution,[status(thm)],[f654,f107])).
% 22.93/3.39 fof(f755,plain,(
% 22.93/3.39 ~m1_subset_1(sK1_skl,u1_struct_0(sK0_skl))|m1_subset_1(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl)))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f753,f106])).
% 22.93/3.39 fof(f799,plain,(
% 22.93/3.39 ~v10_lattices(sK0_skl)|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|r2_hidden(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(resolution,[status(thm)],[f668,f107])).
% 22.93/3.39 fof(f800,plain,(
% 22.93/3.39 ~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|r2_hidden(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f799,f106])).
% 22.93/3.39 fof(f801,plain,(
% 22.93/3.39 ~v10_lattices(sK0_skl)|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(resolution,[status(thm)],[f669,f107])).
% 22.93/3.39 fof(f802,plain,(
% 22.93/3.39 ~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f801,f106])).
% 22.93/3.39 fof(f854,plain,(
% 22.93/3.39 k18_filter_2(sK0_skl,sK1_skl)=k2_filter_2(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,sK1_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f730,f108])).
% 22.93/3.39 fof(f858,plain,(
% 22.93/3.39 k18_filter_2(sK0_skl,sK1_skl)=k2_filter_2(k1_lattice2(sK0_skl),sK1_skl)),
% 22.93/3.39 inference(forward_demodulation,[status(thm)],[f501,f854])).
% 22.93/3.39 fof(f862,plain,(
% 22.93/3.39 ![X0]: (v1_xboole_0(sK2_skl)|v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X0)=k19_filter_2(sK0_skl,k8_filter_2(sK0_skl,X0)))),
% 22.93/3.39 inference(resolution,[status(thm)],[f731,f110])).
% 22.93/3.39 fof(f867,plain,(
% 22.93/3.39 ![X0]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X0)=k19_filter_2(sK0_skl,k8_filter_2(sK0_skl,X0)))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f862,f109])).
% 22.93/3.39 fof(f893,plain,(
% 22.93/3.39 r2_hidden(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(resolution,[status(thm)],[f800,f110])).
% 22.93/3.39 fof(f896,plain,(
% 22.93/3.39 m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))),
% 22.93/3.39 inference(resolution,[status(thm)],[f802,f110])).
% 22.93/3.39 fof(f1052,plain,(
% 22.93/3.39 k8_filter_2(sK0_skl,sK2_skl)=sK2_skl),
% 22.93/3.39 inference(resolution,[status(thm)],[f893,f614])).
% 22.93/3.39 fof(f1057,plain,(
% 22.93/3.39 v1_xboole_0(sK2_skl)|k3_filter_2(k1_lattice2(sK0_skl),sK2_skl)=k19_filter_2(sK0_skl,k8_filter_2(sK0_skl,sK2_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f896,f867])).
% 22.93/3.39 fof(f1061,plain,(
% 22.93/3.39 v1_xboole_0(sK2_skl)|k3_filter_2(k1_lattice2(sK0_skl),sK2_skl)=k19_filter_2(sK0_skl,sK2_skl)),
% 22.93/3.39 inference(forward_demodulation,[status(thm)],[f1052,f1057])).
% 22.93/3.39 fof(f1062,plain,(
% 22.93/3.39 k3_filter_2(k1_lattice2(sK0_skl),sK2_skl)=k19_filter_2(sK0_skl,sK2_skl)),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f1061,f109])).
% 22.93/3.39 fof(f2910,plain,(
% 22.93/3.39 m1_subset_1(sK1_skl,u1_struct_0(k1_lattice2(sK0_skl)))),
% 22.93/3.39 inference(resolution,[status(thm)],[f755,f108])).
% 22.93/3.39 fof(f3505,plain,(
% 22.93/3.39 ![X0]: (~l3_lattices(k1_lattice2(sK0_skl))|~m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0_skl)))|k2_filter_2(k1_lattice2(sK0_skl),X0)=k2_filter_0(k1_lattice2(sK0_skl),X0)|v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f577,f106])).
% 22.93/3.39 fof(f3508,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0_skl)))|k2_filter_2(k1_lattice2(sK0_skl),X0)=k2_filter_0(k1_lattice2(sK0_skl),X0)|v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f3505,f158])).
% 22.93/3.39 fof(f3511,plain,(
% 22.93/3.39 ![X0]: (~l3_lattices(k1_lattice2(sK0_skl))|v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X0)=k3_filter_0(k1_lattice2(sK0_skl),X0)|v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f583,f106])).
% 22.93/3.39 fof(f3514,plain,(
% 22.93/3.39 ![X0]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X0)=k3_filter_0(k1_lattice2(sK0_skl),X0)|v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f3511,f158])).
% 22.93/3.39 fof(f3515,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0_skl)))|k2_filter_2(k1_lattice2(sK0_skl),X0)=k2_filter_0(k1_lattice2(sK0_skl),X0)|v3_struct_0(sK0_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f3508,f107])).
% 22.93/3.39 fof(f3516,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0_skl)))|k2_filter_2(k1_lattice2(sK0_skl),X0)=k2_filter_0(k1_lattice2(sK0_skl),X0))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f3515,f105])).
% 22.93/3.39 fof(f3517,plain,(
% 22.93/3.39 ![X0]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X0)=k3_filter_0(k1_lattice2(sK0_skl),X0)|v3_struct_0(sK0_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f3514,f107])).
% 22.93/3.39 fof(f3518,plain,(
% 22.93/3.39 ![X0]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|k3_filter_2(k1_lattice2(sK0_skl),X0)=k3_filter_0(k1_lattice2(sK0_skl),X0))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f3517,f105])).
% 22.93/3.39 fof(f3521,plain,(
% 22.93/3.39 k2_filter_2(k1_lattice2(sK0_skl),sK1_skl)=k2_filter_0(k1_lattice2(sK0_skl),sK1_skl)),
% 22.93/3.39 inference(resolution,[status(thm)],[f3516,f2910])).
% 22.93/3.39 fof(f3526,plain,(
% 22.93/3.39 k18_filter_2(sK0_skl,sK1_skl)=k2_filter_0(k1_lattice2(sK0_skl),sK1_skl)),
% 22.93/3.39 inference(forward_demodulation,[status(thm)],[f858,f3521])).
% 22.93/3.39 fof(f3532,plain,(
% 22.93/3.39 v1_xboole_0(sK2_skl)|k3_filter_2(k1_lattice2(sK0_skl),sK2_skl)=k3_filter_0(k1_lattice2(sK0_skl),sK2_skl)),
% 22.93/3.39 inference(resolution,[status(thm)],[f3518,f896])).
% 22.93/3.39 fof(f3539,plain,(
% 22.93/3.39 v1_xboole_0(sK2_skl)|k19_filter_2(sK0_skl,sK2_skl)=k3_filter_0(k1_lattice2(sK0_skl),sK2_skl)),
% 22.93/3.39 inference(forward_demodulation,[status(thm)],[f1062,f3532])).
% 22.93/3.39 fof(f3540,plain,(
% 22.93/3.39 k19_filter_2(sK0_skl,sK2_skl)=k3_filter_0(k1_lattice2(sK0_skl),sK2_skl)),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f3539,f109])).
% 22.93/3.39 fof(f3573,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(k1_lattice2(sK0_skl))|~v10_lattices(k1_lattice2(sK0_skl))|~l3_lattices(k1_lattice2(sK0_skl))|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|~r2_hidden(X0,sK2_skl)|r2_hidden(k2_filter_0(k1_lattice2(sK0_skl),X0),k1_zfmisc_1(k19_filter_2(sK0_skl,sK2_skl))))),
% 22.93/3.39 inference(paramodulation,[status(thm)],[f3540,f626])).
% 22.93/3.39 fof(f3579,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(k1_lattice2(sK0_skl))|~v10_lattices(k1_lattice2(sK0_skl))|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|~r2_hidden(X0,sK2_skl)|r2_hidden(k2_filter_0(k1_lattice2(sK0_skl),X0),k1_zfmisc_1(k19_filter_2(sK0_skl,sK2_skl))))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f3573,f427])).
% 22.93/3.39 fof(f3642,plain,(
% 22.93/3.39 ![X0]: (v3_struct_0(k1_lattice2(sK0_skl))|~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|~r2_hidden(X0,sK2_skl)|r2_hidden(k2_filter_0(k1_lattice2(sK0_skl),X0),k1_zfmisc_1(k19_filter_2(sK0_skl,sK2_skl)))|v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f3579,f276])).
% 22.93/3.39 fof(f3643,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|~r2_hidden(X0,sK2_skl)|r2_hidden(k2_filter_0(k1_lattice2(sK0_skl),X0),k1_zfmisc_1(k19_filter_2(sK0_skl,sK2_skl)))|v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f3642,f230])).
% 22.93/3.39 fof(f3720,plain,(
% 22.93/3.39 ![X0]: (~m1_subset_1(sK2_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|~r2_hidden(X0,sK2_skl)|r2_hidden(k2_filter_0(k1_lattice2(sK0_skl),X0),k1_zfmisc_1(k19_filter_2(sK0_skl,sK2_skl)))|v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl))),
% 22.93/3.39 inference(resolution,[status(thm)],[f3643,f107])).
% 22.93/3.39 fof(f3721,plain,(
% 22.93/3.39 ![X0]: (~r2_hidden(X0,sK2_skl)|r2_hidden(k2_filter_0(k1_lattice2(sK0_skl),X0),k1_zfmisc_1(k19_filter_2(sK0_skl,sK2_skl)))|v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl))),
% 22.93/3.39 inference(forward_subsumption_resolution,[status(thm)],[f3720,f896])).
% 22.93/3.39 fof(f3815,plain,(
% 22.93/3.39 ![X0]: (~r2_hidden(X0,sK2_skl)|r2_hidden(k2_filter_0(k1_lattice2(sK0_skl),X0),k1_zfmisc_1(k19_filter_2(sK0_skl,sK2_skl)))|v3_struct_0(sK0_skl))),
% 22.93/3.42 inference(resolution,[status(thm)],[f3721,f106])).
% 22.93/3.42 fof(f3816,plain,(
% 22.93/3.42 ![X0]: (~r2_hidden(X0,sK2_skl)|r2_hidden(k2_filter_0(k1_lattice2(sK0_skl),X0),k1_zfmisc_1(k19_filter_2(sK0_skl,sK2_skl))))),
% 22.93/3.42 inference(forward_subsumption_resolution,[status(thm)],[f3815,f105])).
% 22.93/3.42 fof(f3917,plain,(
% 22.93/3.42 ![X0]: (~r2_hidden(X0,sK2_skl)|r1_tarski(k2_filter_0(k1_lattice2(sK0_skl),X0),k19_filter_2(sK0_skl,sK2_skl)))),
% 22.93/3.42 inference(resolution,[status(thm)],[f3816,f448])).
% 22.93/3.42 fof(f4051,plain,(
% 22.93/3.42 ~r2_hidden(sK1_skl,sK2_skl)|r1_tarski(k18_filter_2(sK0_skl,sK1_skl),k19_filter_2(sK0_skl,sK2_skl))),
% 22.93/3.42 inference(paramodulation,[status(thm)],[f3526,f3917])).
% 22.93/3.42 fof(f4053,plain,(
% 22.93/3.42 r1_tarski(k18_filter_2(sK0_skl,sK1_skl),k19_filter_2(sK0_skl,sK2_skl))),
% 22.93/3.42 inference(forward_subsumption_resolution,[status(thm)],[f4051,f111])).
% 22.93/3.42 fof(f4054,plain,(
% 22.93/3.42 $false),
% 22.93/3.42 inference(backward_subsumption_resolution,[status(thm)],[f112,f4053])).
% 22.93/3.42 % SZS output end CNFRefutation for theBenchmark.p
% 22.93/3.46 % Elapsed time: 3.071453 seconds
% 22.93/3.46 % CPU time: 23.972930 seconds
% 22.93/3.46 % Total memory used: 346.525 MB
% 22.93/3.46 % Net memory used: 333.823 MB
%------------------------------------------------------------------------------