TSTP Solution File: LAT305+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT305+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:25:43 EDT 2024
% Result : Theorem 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT305+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 19:57:02 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f1,conjecture,(
% 0.16/0.48 (! [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))=> ( r2_hidden(B,k18_filter_2(A,B))& r2_hidden(k4_lattices(A,B,C),k18_filter_2(A,B))& r2_hidden(k4_lattices(A,C,B),k18_filter_2(A,B)) ) ) )) )) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f2,negated_conjecture,(
% 0.16/0.48 ~((! [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))=> ( r2_hidden(B,k18_filter_2(A,B))& r2_hidden(k4_lattices(A,B,C),k18_filter_2(A,B))& r2_hidden(k4_lattices(A,C,B),k18_filter_2(A,B)) ) ) )) )) ))),
% 0.16/0.48 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/0.48 fof(f4,axiom,(
% 0.16/0.48 (! [A] :( v1_xboole_0(A)=> v1_funct_1(A) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f5,axiom,(
% 0.16/0.48 (! [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) ) ) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f11,axiom,(
% 0.16/0.48 (! [A,B,C] :( ( ~ v3_struct_0(A)& v6_lattices(A)& l1_lattices(A)& m1_subset_1(B,u1_struct_0(A))& m1_subset_1(C,u1_struct_0(A)) )=> k4_lattices(A,B,C) = k4_lattices(A,C,B) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f15,axiom,(
% 0.16/0.48 (! [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) = a_2_0_filter_2(A,B) ) )) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f26,axiom,(
% 0.16/0.48 (! [A,B,C] :( ( ~ v3_struct_0(A)& v6_lattices(A)& l1_lattices(A)& m1_subset_1(B,u1_struct_0(A))& m1_subset_1(C,u1_struct_0(A)) )=> m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f31,axiom,(
% 0.16/0.48 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f37,axiom,(
% 0.16/0.48 (! [A] :( l1_lattices(A)=> ( v1_funct_1(u1_lattices(A))& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f39,axiom,(
% 0.16/0.48 (? [A] : l1_lattices(A) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f42,axiom,(
% 0.16/0.48 (? [A] : l3_lattices(A) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f49,axiom,(
% 0.16/0.48 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f50,axiom,(
% 0.16/0.48 v1_xboole_0(k1_xboole_0) ),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f57,axiom,(
% 0.16/0.48 (! [A,B,C] :( ( ~ v3_struct_0(B)& v10_lattices(B)& l3_lattices(B)& m1_subset_1(C,u1_struct_0(B)) )=> ( r2_hidden(A,a_2_0_filter_2(B,C))<=> (? [D] :( m1_subset_1(D,u1_struct_0(B))& A = D& r3_lattices(B,D,C) ) )) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f58,axiom,(
% 0.16/0.48 (? [A] :( v1_relat_1(A)& v1_funct_1(A) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f67,axiom,(
% 0.16/0.48 (? [A] :( v1_relat_1(A)& v1_funct_1(A)& v2_funct_1(A) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f73,axiom,(
% 0.16/0.48 (! [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) ) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f75,axiom,(
% 0.16/0.48 (! [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) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f77,axiom,(
% 0.16/0.48 (! [A] :( ( ~ v3_struct_0(A)& v6_lattices(A)& v8_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> r1_lattices(A,k4_lattices(A,B,C),B) ) )) )) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f86,plain,(
% 0.16/0.48 (?[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))&((~r2_hidden(B,k18_filter_2(A,B))|~r2_hidden(k4_lattices(A,B,C),k18_filter_2(A,B)))|~r2_hidden(k4_lattices(A,C,B),k18_filter_2(A,B)))))))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.16/0.48 fof(f87,plain,(
% 0.16/0.48 (((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&l3_lattices(sk0_0))&(m1_subset_1(sk0_1,u1_struct_0(sk0_0))&(m1_subset_1(sk0_2,u1_struct_0(sk0_0))&((~r2_hidden(sk0_1,k18_filter_2(sk0_0,sk0_1))|~r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1)))|~r2_hidden(k4_lattices(sk0_0,sk0_2,sk0_1),k18_filter_2(sk0_0,sk0_1))))))),
% 0.16/0.48 inference(skolemization,[status(esa)],[f86])).
% 0.16/0.48 fof(f88,plain,(
% 0.16/0.48 ~v3_struct_0(sk0_0)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f87])).
% 0.16/0.48 fof(f89,plain,(
% 0.16/0.48 v10_lattices(sk0_0)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f87])).
% 0.16/0.48 fof(f90,plain,(
% 0.16/0.48 l3_lattices(sk0_0)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f87])).
% 0.16/0.48 fof(f91,plain,(
% 0.16/0.48 m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f87])).
% 0.16/0.48 fof(f92,plain,(
% 0.16/0.48 m1_subset_1(sk0_2,u1_struct_0(sk0_0))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f87])).
% 0.16/0.48 fof(f93,plain,(
% 0.16/0.48 ~r2_hidden(sk0_1,k18_filter_2(sk0_0,sk0_1))|~r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))|~r2_hidden(k4_lattices(sk0_0,sk0_2,sk0_1),k18_filter_2(sk0_0,sk0_1))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f87])).
% 0.16/0.48 fof(f96,plain,(
% 0.16/0.48 ![A]: (~v1_xboole_0(A)|v1_funct_1(A))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.16/0.48 fof(f97,plain,(
% 0.16/0.48 ![X0]: (~v1_xboole_0(X0)|v1_funct_1(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f96])).
% 0.16/0.48 fof(f98,plain,(
% 0.16/0.48 ![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))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.16/0.48 fof(f102,plain,(
% 0.16/0.48 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v6_lattices(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.48 fof(f104,plain,(
% 0.16/0.48 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v8_lattices(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.48 fof(f105,plain,(
% 0.16/0.48 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v9_lattices(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f98])).
% 0.16/0.48 fof(f119,plain,(
% 0.16/0.48 ![A,B,C]: (((((v3_struct_0(A)|~v6_lattices(A))|~l1_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|~m1_subset_1(C,u1_struct_0(A)))|k4_lattices(A,B,C)=k4_lattices(A,C,B))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.16/0.48 fof(f120,plain,(
% 0.16/0.48 ![X0,X1,X2]: (v3_struct_0(X0)|~v6_lattices(X0)|~l1_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|k4_lattices(X0,X1,X2)=k4_lattices(X0,X2,X1))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f119])).
% 0.16/0.48 fof(f126,plain,(
% 0.16/0.48 ![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)=a_2_0_filter_2(A,B))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.16/0.48 fof(f127,plain,(
% 0.16/0.48 ![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)=a_2_0_filter_2(X0,X1))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f126])).
% 0.16/0.48 fof(f134,plain,(
% 0.16/0.48 ![A,B,C]: (((((v3_struct_0(A)|~v6_lattices(A))|~l1_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|~m1_subset_1(C,u1_struct_0(A)))|m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.16/0.48 fof(f135,plain,(
% 0.16/0.48 ![X0,X1,X2]: (v3_struct_0(X0)|~v6_lattices(X0)|~l1_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f134])).
% 0.16/0.48 fof(f140,plain,(
% 0.16/0.48 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.16/0.48 fof(f141,plain,(
% 0.16/0.48 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f140])).
% 0.16/0.48 fof(f150,plain,(
% 0.16/0.48 ![A]: (~l1_lattices(A)|((v1_funct_1(u1_lattices(A))&v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))&m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.16/0.48 fof(f151,plain,(
% 0.16/0.48 ![X0]: (~l1_lattices(X0)|v1_funct_1(u1_lattices(X0)))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f150])).
% 0.16/0.48 fof(f152,plain,(
% 0.16/0.48 ![X0]: (~l1_lattices(X0)|v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f150])).
% 0.16/0.48 fof(f154,plain,(
% 0.16/0.48 l1_lattices(sk0_3)),
% 0.16/0.48 inference(skolemization,[status(esa)],[f39])).
% 0.16/0.48 fof(f155,plain,(
% 0.16/0.48 l1_lattices(sk0_3)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f154])).
% 0.16/0.48 fof(f160,plain,(
% 0.16/0.48 l3_lattices(sk0_6)),
% 0.16/0.48 inference(skolemization,[status(esa)],[f42])).
% 0.16/0.48 fof(f161,plain,(
% 0.16/0.48 l3_lattices(sk0_6)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f160])).
% 0.16/0.48 fof(f176,plain,(
% 0.16/0.48 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f49])).
% 0.16/0.48 fof(f177,plain,(
% 0.16/0.48 v1_xboole_0(k1_xboole_0)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f50])).
% 0.16/0.48 fof(f198,plain,(
% 0.16/0.48 ![A,B,C]: ((((v3_struct_0(B)|~v10_lattices(B))|~l3_lattices(B))|~m1_subset_1(C,u1_struct_0(B)))|(r2_hidden(A,a_2_0_filter_2(B,C))<=>(?[D]: ((m1_subset_1(D,u1_struct_0(B))&A=D)&r3_lattices(B,D,C)))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.16/0.48 fof(f199,plain,(
% 0.16/0.48 ![A,B,C]: ((((v3_struct_0(B)|~v10_lattices(B))|~l3_lattices(B))|~m1_subset_1(C,u1_struct_0(B)))|((~r2_hidden(A,a_2_0_filter_2(B,C))|(?[D]: ((m1_subset_1(D,u1_struct_0(B))&A=D)&r3_lattices(B,D,C))))&(r2_hidden(A,a_2_0_filter_2(B,C))|(![D]: ((~m1_subset_1(D,u1_struct_0(B))|~A=D)|~r3_lattices(B,D,C))))))),
% 0.16/0.48 inference(NNF_transformation,[status(esa)],[f198])).
% 0.16/0.48 fof(f200,plain,(
% 0.16/0.48 ![B,C]: ((((v3_struct_0(B)|~v10_lattices(B))|~l3_lattices(B))|~m1_subset_1(C,u1_struct_0(B)))|((![A]: (~r2_hidden(A,a_2_0_filter_2(B,C))|(?[D]: ((m1_subset_1(D,u1_struct_0(B))&A=D)&r3_lattices(B,D,C)))))&(![A]: (r2_hidden(A,a_2_0_filter_2(B,C))|(![D]: ((~m1_subset_1(D,u1_struct_0(B))|~A=D)|~r3_lattices(B,D,C)))))))),
% 0.16/0.48 inference(miniscoping,[status(esa)],[f199])).
% 0.16/0.48 fof(f201,plain,(
% 0.16/0.48 ![B,C]: ((((v3_struct_0(B)|~v10_lattices(B))|~l3_lattices(B))|~m1_subset_1(C,u1_struct_0(B)))|((![A]: (~r2_hidden(A,a_2_0_filter_2(B,C))|((m1_subset_1(sk0_12(A,C,B),u1_struct_0(B))&A=sk0_12(A,C,B))&r3_lattices(B,sk0_12(A,C,B),C))))&(![A]: (r2_hidden(A,a_2_0_filter_2(B,C))|(![D]: ((~m1_subset_1(D,u1_struct_0(B))|~A=D)|~r3_lattices(B,D,C)))))))),
% 0.16/0.48 inference(skolemization,[status(esa)],[f200])).
% 0.16/0.48 fof(f205,plain,(
% 0.16/0.48 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|r2_hidden(X2,a_2_0_filter_2(X0,X1))|~m1_subset_1(X3,u1_struct_0(X0))|~X2=X3|~r3_lattices(X0,X3,X1))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f201])).
% 0.16/0.48 fof(f206,plain,(
% 0.16/0.48 (v1_relat_1(sk0_13)&v1_funct_1(sk0_13))),
% 0.16/0.48 inference(skolemization,[status(esa)],[f58])).
% 0.16/0.48 fof(f208,plain,(
% 0.16/0.48 v1_funct_1(sk0_13)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f206])).
% 0.16/0.48 fof(f234,plain,(
% 0.16/0.48 ((v1_relat_1(sk0_22)&v1_funct_1(sk0_22))&v2_funct_1(sk0_22))),
% 0.16/0.48 inference(skolemization,[status(esa)],[f67])).
% 0.16/0.48 fof(f236,plain,(
% 0.16/0.48 v1_funct_1(sk0_22)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f234])).
% 0.16/0.48 fof(f253,plain,(
% 0.16/0.48 ![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)))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 0.16/0.48 fof(f254,plain,(
% 0.16/0.48 ![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))))),
% 0.16/0.48 inference(NNF_transformation,[status(esa)],[f253])).
% 0.16/0.48 fof(f256,plain,(
% 0.16/0.48 ![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))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f254])).
% 0.16/0.48 fof(f259,plain,(
% 0.16/0.48 ![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))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 0.16/0.48 fof(f260,plain,(
% 0.16/0.48 ![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))),
% 0.16/0.48 inference(miniscoping,[status(esa)],[f259])).
% 0.16/0.48 fof(f261,plain,(
% 0.16/0.48 ![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))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f260])).
% 0.16/0.48 fof(f264,plain,(
% 0.16/0.48 ![A]: ((((v3_struct_0(A)|~v6_lattices(A))|~v8_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|r1_lattices(A,k4_lattices(A,B,C),B))))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(esa)],[f77])).
% 0.16/0.48 fof(f265,plain,(
% 0.16/0.48 ![X0,X1,X2]: (v3_struct_0(X0)|~v6_lattices(X0)|~v8_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|r1_lattices(X0,k4_lattices(X0,X1,X2),X1))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f264])).
% 0.16/0.48 fof(f291,plain,(
% 0.16/0.48 spl0_0 <=> r2_hidden(sk0_1,k18_filter_2(sk0_0,sk0_1))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f293,plain,(
% 0.16/0.48 ~r2_hidden(sk0_1,k18_filter_2(sk0_0,sk0_1))|spl0_0),
% 0.16/0.48 inference(component_clause,[status(thm)],[f291])).
% 0.16/0.48 fof(f294,plain,(
% 0.16/0.48 spl0_1 <=> r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f296,plain,(
% 0.16/0.48 ~r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))|spl0_1),
% 0.16/0.48 inference(component_clause,[status(thm)],[f294])).
% 0.16/0.48 fof(f297,plain,(
% 0.16/0.48 spl0_2 <=> r2_hidden(k4_lattices(sk0_0,sk0_2,sk0_1),k18_filter_2(sk0_0,sk0_1))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f299,plain,(
% 0.16/0.48 ~r2_hidden(k4_lattices(sk0_0,sk0_2,sk0_1),k18_filter_2(sk0_0,sk0_1))|spl0_2),
% 0.16/0.48 inference(component_clause,[status(thm)],[f297])).
% 0.16/0.48 fof(f300,plain,(
% 0.16/0.48 ~spl0_0|~spl0_1|~spl0_2),
% 0.16/0.48 inference(split_clause,[status(thm)],[f93,f291,f294,f297])).
% 0.16/0.48 fof(f303,plain,(
% 0.16/0.48 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|r2_hidden(X2,a_2_0_filter_2(X0,X1))|~m1_subset_1(X2,u1_struct_0(X0))|~r3_lattices(X0,X2,X1))),
% 0.16/0.48 inference(destructive_equality_resolution,[status(esa)],[f205])).
% 0.16/0.48 fof(f317,plain,(
% 0.16/0.48 spl0_6 <=> v3_struct_0(sk0_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f318,plain,(
% 0.16/0.48 v3_struct_0(sk0_0)|~spl0_6),
% 0.16/0.48 inference(component_clause,[status(thm)],[f317])).
% 0.16/0.48 fof(f320,plain,(
% 0.16/0.48 spl0_7 <=> v10_lattices(sk0_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f322,plain,(
% 0.16/0.48 ~v10_lattices(sk0_0)|spl0_7),
% 0.16/0.48 inference(component_clause,[status(thm)],[f320])).
% 0.16/0.48 fof(f323,plain,(
% 0.16/0.48 spl0_8 <=> l3_lattices(sk0_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f325,plain,(
% 0.16/0.48 ~l3_lattices(sk0_0)|spl0_8),
% 0.16/0.48 inference(component_clause,[status(thm)],[f323])).
% 0.16/0.48 fof(f331,plain,(
% 0.16/0.48 spl0_10 <=> k18_filter_2(sk0_0,sk0_1)=a_2_0_filter_2(sk0_0,sk0_1)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f332,plain,(
% 0.16/0.48 k18_filter_2(sk0_0,sk0_1)=a_2_0_filter_2(sk0_0,sk0_1)|~spl0_10),
% 0.16/0.48 inference(component_clause,[status(thm)],[f331])).
% 0.16/0.48 fof(f334,plain,(
% 0.16/0.48 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|k18_filter_2(sk0_0,sk0_1)=a_2_0_filter_2(sk0_0,sk0_1)),
% 0.16/0.48 inference(resolution,[status(thm)],[f127,f91])).
% 0.16/0.48 fof(f335,plain,(
% 0.16/0.48 spl0_6|~spl0_7|~spl0_8|spl0_10),
% 0.16/0.48 inference(split_clause,[status(thm)],[f334,f317,f320,f323,f331])).
% 0.16/0.48 fof(f336,plain,(
% 0.16/0.48 $false|spl0_8),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f325,f90])).
% 0.16/0.48 fof(f337,plain,(
% 0.16/0.48 spl0_8),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f336])).
% 0.16/0.48 fof(f338,plain,(
% 0.16/0.48 $false|spl0_7),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f322,f89])).
% 0.16/0.48 fof(f339,plain,(
% 0.16/0.48 spl0_7),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f338])).
% 0.16/0.48 fof(f340,plain,(
% 0.16/0.48 $false|~spl0_6),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f318,f88])).
% 0.16/0.48 fof(f341,plain,(
% 0.16/0.48 ~spl0_6),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f340])).
% 0.16/0.48 fof(f342,plain,(
% 0.16/0.48 spl0_11 <=> v6_lattices(sk0_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f345,plain,(
% 0.16/0.48 spl0_12 <=> l1_lattices(sk0_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f347,plain,(
% 0.16/0.48 ~l1_lattices(sk0_0)|spl0_12),
% 0.16/0.48 inference(component_clause,[status(thm)],[f345])).
% 0.16/0.48 fof(f348,plain,(
% 0.16/0.48 spl0_13 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|k4_lattices(sk0_0,sk0_2,X0)=k4_lattices(sk0_0,X0,sk0_2)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f349,plain,(
% 0.16/0.48 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|k4_lattices(sk0_0,sk0_2,X0)=k4_lattices(sk0_0,X0,sk0_2)|~spl0_13)),
% 0.16/0.48 inference(component_clause,[status(thm)],[f348])).
% 0.16/0.48 fof(f351,plain,(
% 0.16/0.48 ![X0]: (v3_struct_0(sk0_0)|~v6_lattices(sk0_0)|~l1_lattices(sk0_0)|~m1_subset_1(X0,u1_struct_0(sk0_0))|k4_lattices(sk0_0,sk0_2,X0)=k4_lattices(sk0_0,X0,sk0_2))),
% 0.16/0.48 inference(resolution,[status(thm)],[f120,f92])).
% 0.16/0.48 fof(f352,plain,(
% 0.16/0.48 spl0_6|~spl0_11|~spl0_12|spl0_13),
% 0.16/0.48 inference(split_clause,[status(thm)],[f351,f317,f342,f345,f348])).
% 0.16/0.48 fof(f363,plain,(
% 0.16/0.48 spl0_16 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|m1_subset_1(k4_lattices(sk0_0,sk0_1,X0),u1_struct_0(sk0_0))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f364,plain,(
% 0.16/0.48 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|m1_subset_1(k4_lattices(sk0_0,sk0_1,X0),u1_struct_0(sk0_0))|~spl0_16)),
% 0.16/0.48 inference(component_clause,[status(thm)],[f363])).
% 0.16/0.48 fof(f366,plain,(
% 0.16/0.48 ![X0]: (v3_struct_0(sk0_0)|~v6_lattices(sk0_0)|~l1_lattices(sk0_0)|~m1_subset_1(X0,u1_struct_0(sk0_0))|m1_subset_1(k4_lattices(sk0_0,sk0_1,X0),u1_struct_0(sk0_0)))),
% 0.16/0.48 inference(resolution,[status(thm)],[f135,f91])).
% 0.16/0.48 fof(f367,plain,(
% 0.16/0.48 spl0_6|~spl0_11|~spl0_12|spl0_16),
% 0.16/0.48 inference(split_clause,[status(thm)],[f366,f317,f342,f345,f363])).
% 0.16/0.48 fof(f369,plain,(
% 0.16/0.48 v1_funct_1(k1_xboole_0)),
% 0.16/0.48 inference(resolution,[status(thm)],[f97,f177])).
% 0.16/0.48 fof(f391,plain,(
% 0.16/0.48 l1_lattices(sk0_6)),
% 0.16/0.48 inference(resolution,[status(thm)],[f141,f161])).
% 0.16/0.48 fof(f392,plain,(
% 0.16/0.48 l1_lattices(sk0_0)),
% 0.16/0.48 inference(resolution,[status(thm)],[f141,f90])).
% 0.16/0.48 fof(f393,plain,(
% 0.16/0.48 $false|spl0_12),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f392,f347])).
% 0.16/0.48 fof(f394,plain,(
% 0.16/0.48 spl0_12),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f393])).
% 0.16/0.48 fof(f424,plain,(
% 0.16/0.48 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|v6_lattices(sk0_0)),
% 0.16/0.48 inference(resolution,[status(thm)],[f102,f90])).
% 0.16/0.48 fof(f425,plain,(
% 0.16/0.48 spl0_6|~spl0_7|spl0_11),
% 0.16/0.48 inference(split_clause,[status(thm)],[f424,f317,f320,f342])).
% 0.16/0.48 fof(f441,plain,(
% 0.16/0.48 spl0_27 <=> v8_lattices(sk0_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f444,plain,(
% 0.16/0.48 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|v8_lattices(sk0_0)),
% 0.16/0.48 inference(resolution,[status(thm)],[f104,f90])).
% 0.16/0.48 fof(f445,plain,(
% 0.16/0.48 spl0_6|~spl0_7|spl0_27),
% 0.16/0.48 inference(split_clause,[status(thm)],[f444,f317,f320,f441])).
% 0.16/0.48 fof(f492,plain,(
% 0.16/0.48 m1_subset_1(k4_lattices(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0))|~spl0_16),
% 0.16/0.48 inference(resolution,[status(thm)],[f364,f92])).
% 0.16/0.48 fof(f542,plain,(
% 0.16/0.48 k4_lattices(sk0_0,sk0_2,sk0_1)=k4_lattices(sk0_0,sk0_1,sk0_2)|~spl0_13),
% 0.16/0.48 inference(resolution,[status(thm)],[f349,f91])).
% 0.16/0.48 fof(f587,plain,(
% 0.16/0.48 spl0_44 <=> v1_xboole_0(k1_xboole_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f589,plain,(
% 0.16/0.48 ~v1_xboole_0(k1_xboole_0)|spl0_44),
% 0.16/0.48 inference(component_clause,[status(thm)],[f587])).
% 0.16/0.48 fof(f678,plain,(
% 0.16/0.48 spl0_52 <=> v9_lattices(sk0_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f681,plain,(
% 0.16/0.48 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|v9_lattices(sk0_0)),
% 0.16/0.48 inference(resolution,[status(thm)],[f105,f90])).
% 0.16/0.48 fof(f682,plain,(
% 0.16/0.48 spl0_6|~spl0_7|spl0_52),
% 0.16/0.48 inference(split_clause,[status(thm)],[f681,f317,f320,f678])).
% 0.16/0.48 fof(f683,plain,(
% 0.16/0.48 v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 0.16/0.48 inference(resolution,[status(thm)],[f152,f392])).
% 0.16/0.48 fof(f684,plain,(
% 0.16/0.48 v1_funct_2(u1_lattices(sk0_6),k2_zfmisc_1(u1_struct_0(sk0_6),u1_struct_0(sk0_6)),u1_struct_0(sk0_6))),
% 0.16/0.48 inference(resolution,[status(thm)],[f152,f391])).
% 0.16/0.48 fof(f685,plain,(
% 0.16/0.48 v1_funct_2(u1_lattices(sk0_3),k2_zfmisc_1(u1_struct_0(sk0_3),u1_struct_0(sk0_3)),u1_struct_0(sk0_3))),
% 0.16/0.48 inference(resolution,[status(thm)],[f152,f155])).
% 0.16/0.48 fof(f716,plain,(
% 0.16/0.48 spl0_58 <=> m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f718,plain,(
% 0.16/0.48 ~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|spl0_58),
% 0.16/0.48 inference(component_clause,[status(thm)],[f716])).
% 0.16/0.48 fof(f732,plain,(
% 0.16/0.48 $false|spl0_58),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f718,f91])).
% 0.16/0.48 fof(f733,plain,(
% 0.16/0.48 spl0_58),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f732])).
% 0.16/0.48 fof(f766,plain,(
% 0.16/0.48 spl0_68 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f767,plain,(
% 0.16/0.48 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~spl0_68)),
% 0.16/0.48 inference(component_clause,[status(thm)],[f766])).
% 0.16/0.48 fof(f769,plain,(
% 0.16/0.48 spl0_69 <=> r3_lattices(sk0_0,sk0_1,sk0_1)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f770,plain,(
% 0.16/0.48 r3_lattices(sk0_0,sk0_1,sk0_1)|~spl0_69),
% 0.16/0.48 inference(component_clause,[status(thm)],[f769])).
% 0.16/0.48 fof(f772,plain,(
% 0.16/0.48 ![X0]: (v3_struct_0(sk0_0)|~v6_lattices(sk0_0)|~v8_lattices(sk0_0)|~v9_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(X0,u1_struct_0(sk0_0))|r3_lattices(sk0_0,sk0_1,sk0_1))),
% 0.16/0.48 inference(resolution,[status(thm)],[f261,f91])).
% 0.16/0.48 fof(f773,plain,(
% 0.16/0.48 spl0_6|~spl0_11|~spl0_27|~spl0_52|~spl0_8|spl0_68|spl0_69),
% 0.16/0.48 inference(split_clause,[status(thm)],[f772,f317,f342,f441,f678,f323,f766,f769])).
% 0.16/0.48 fof(f789,plain,(
% 0.16/0.48 $false|~spl0_68),
% 0.16/0.48 inference(backward_subsumption_resolution,[status(thm)],[f91,f767])).
% 0.16/0.48 fof(f790,plain,(
% 0.16/0.48 ~spl0_68),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f789])).
% 0.16/0.48 fof(f823,plain,(
% 0.16/0.48 spl0_75 <=> v1_funct_1(sk0_13)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f825,plain,(
% 0.16/0.48 ~v1_funct_1(sk0_13)|spl0_75),
% 0.16/0.48 inference(component_clause,[status(thm)],[f823])).
% 0.16/0.48 fof(f831,plain,(
% 0.16/0.48 $false|spl0_75),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f825,f208])).
% 0.16/0.48 fof(f832,plain,(
% 0.16/0.48 spl0_75),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f831])).
% 0.16/0.48 fof(f951,plain,(
% 0.16/0.48 spl0_84 <=> v1_funct_1(sk0_22)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f953,plain,(
% 0.16/0.48 ~v1_funct_1(sk0_22)|spl0_84),
% 0.16/0.48 inference(component_clause,[status(thm)],[f951])).
% 0.16/0.48 fof(f967,plain,(
% 0.16/0.48 $false|spl0_84),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f953,f236])).
% 0.16/0.48 fof(f968,plain,(
% 0.16/0.48 spl0_84),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f967])).
% 0.16/0.48 fof(f1000,plain,(
% 0.16/0.48 spl0_94 <=> v1_funct_1(u1_lattices(sk0_3))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1002,plain,(
% 0.16/0.48 ~v1_funct_1(u1_lattices(sk0_3))|spl0_94),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1000])).
% 0.16/0.48 fof(f1003,plain,(
% 0.16/0.48 spl0_95 <=> v1_funct_2(u1_lattices(sk0_3),k2_zfmisc_1(u1_struct_0(sk0_3),u1_struct_0(sk0_3)),u1_struct_0(sk0_3))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1005,plain,(
% 0.16/0.48 ~v1_funct_2(u1_lattices(sk0_3),k2_zfmisc_1(u1_struct_0(sk0_3),u1_struct_0(sk0_3)),u1_struct_0(sk0_3))|spl0_95),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1003])).
% 0.16/0.48 fof(f1014,plain,(
% 0.16/0.48 spl0_98 <=> v1_funct_1(u1_lattices(sk0_6))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1016,plain,(
% 0.16/0.48 ~v1_funct_1(u1_lattices(sk0_6))|spl0_98),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1014])).
% 0.16/0.48 fof(f1017,plain,(
% 0.16/0.48 spl0_99 <=> v1_funct_2(u1_lattices(sk0_6),k2_zfmisc_1(u1_struct_0(sk0_6),u1_struct_0(sk0_6)),u1_struct_0(sk0_6))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1019,plain,(
% 0.16/0.48 ~v1_funct_2(u1_lattices(sk0_6),k2_zfmisc_1(u1_struct_0(sk0_6),u1_struct_0(sk0_6)),u1_struct_0(sk0_6))|spl0_99),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1017])).
% 0.16/0.48 fof(f1025,plain,(
% 0.16/0.48 spl0_101 <=> v1_funct_1(u1_lattices(sk0_0))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1027,plain,(
% 0.16/0.48 ~v1_funct_1(u1_lattices(sk0_0))|spl0_101),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1025])).
% 0.16/0.48 fof(f1028,plain,(
% 0.16/0.48 spl0_102 <=> v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1030,plain,(
% 0.16/0.48 ~v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|spl0_102),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1028])).
% 0.16/0.48 fof(f1036,plain,(
% 0.16/0.48 $false|spl0_102),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1030,f683])).
% 0.16/0.48 fof(f1037,plain,(
% 0.16/0.48 spl0_102),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1036])).
% 0.16/0.48 fof(f1038,plain,(
% 0.16/0.48 $false|spl0_99),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1019,f684])).
% 0.16/0.48 fof(f1039,plain,(
% 0.16/0.48 spl0_99),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1038])).
% 0.16/0.48 fof(f1040,plain,(
% 0.16/0.48 $false|spl0_95),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1005,f685])).
% 0.16/0.48 fof(f1041,plain,(
% 0.16/0.48 spl0_95),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1040])).
% 0.16/0.48 fof(f1142,plain,(
% 0.16/0.48 spl0_104 <=> v1_funct_1(k1_xboole_0)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1144,plain,(
% 0.16/0.48 ~v1_funct_1(k1_xboole_0)|spl0_104),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1142])).
% 0.16/0.48 fof(f1155,plain,(
% 0.16/0.48 $false|spl0_104),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1144,f369])).
% 0.16/0.48 fof(f1156,plain,(
% 0.16/0.48 spl0_104),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1155])).
% 0.16/0.48 fof(f1157,plain,(
% 0.16/0.48 spl0_107 <=> m1_subset_1(k4_lattices(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1159,plain,(
% 0.16/0.48 ~m1_subset_1(k4_lattices(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0))|spl0_107),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1157])).
% 0.16/0.48 fof(f1170,plain,(
% 0.16/0.48 spl0_110 <=> r2_hidden(sk0_1,a_2_0_filter_2(sk0_0,sk0_1))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1171,plain,(
% 0.16/0.48 r2_hidden(sk0_1,a_2_0_filter_2(sk0_0,sk0_1))|~spl0_110),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1170])).
% 0.16/0.48 fof(f1173,plain,(
% 0.16/0.48 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|r2_hidden(sk0_1,a_2_0_filter_2(sk0_0,sk0_1))|~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|~spl0_69),
% 0.16/0.48 inference(resolution,[status(thm)],[f303,f770])).
% 0.16/0.48 fof(f1174,plain,(
% 0.16/0.48 spl0_6|~spl0_7|~spl0_8|~spl0_58|spl0_110|~spl0_69),
% 0.16/0.48 inference(split_clause,[status(thm)],[f1173,f317,f320,f323,f716,f1170,f769])).
% 0.16/0.48 fof(f1178,plain,(
% 0.16/0.48 r2_hidden(sk0_1,k18_filter_2(sk0_0,sk0_1))|~spl0_10|~spl0_110),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f332,f1171])).
% 0.16/0.48 fof(f1179,plain,(
% 0.16/0.48 $false|spl0_0|~spl0_10|~spl0_110),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1178,f293])).
% 0.16/0.48 fof(f1180,plain,(
% 0.16/0.48 spl0_0|~spl0_10|~spl0_110),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1179])).
% 0.16/0.48 fof(f1184,plain,(
% 0.16/0.48 $false|spl0_44),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f589,f177])).
% 0.16/0.48 fof(f1185,plain,(
% 0.16/0.48 spl0_44),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1184])).
% 0.16/0.48 fof(f1222,plain,(
% 0.16/0.48 spl0_111 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|r1_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,X0),sk0_1)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1223,plain,(
% 0.16/0.48 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|r1_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,X0),sk0_1)|~spl0_111)),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1222])).
% 0.16/0.48 fof(f1225,plain,(
% 0.16/0.48 ![X0]: (v3_struct_0(sk0_0)|~v6_lattices(sk0_0)|~v8_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(X0,u1_struct_0(sk0_0))|r1_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,X0),sk0_1))),
% 0.16/0.48 inference(resolution,[status(thm)],[f265,f91])).
% 0.16/0.48 fof(f1226,plain,(
% 0.16/0.48 spl0_6|~spl0_11|~spl0_27|~spl0_8|spl0_111),
% 0.16/0.48 inference(split_clause,[status(thm)],[f1225,f317,f342,f441,f323,f1222])).
% 0.16/0.48 fof(f1404,plain,(
% 0.16/0.48 r1_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,sk0_2),sk0_1)|~spl0_111),
% 0.16/0.48 inference(resolution,[status(thm)],[f1223,f92])).
% 0.16/0.48 fof(f1434,plain,(
% 0.16/0.48 spl0_126 <=> v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1435,plain,(
% 0.16/0.48 v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))))|~spl0_126),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1434])).
% 0.16/0.48 fof(f1442,plain,(
% 0.16/0.48 $false|~spl0_126),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1435,f176])).
% 0.16/0.48 fof(f1443,plain,(
% 0.16/0.48 ~spl0_126),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1442])).
% 0.16/0.48 fof(f1696,plain,(
% 0.16/0.48 v1_funct_1(u1_lattices(sk0_0))),
% 0.16/0.48 inference(resolution,[status(thm)],[f151,f392])).
% 0.16/0.48 fof(f1697,plain,(
% 0.16/0.48 $false|spl0_101),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1696,f1027])).
% 0.16/0.48 fof(f1698,plain,(
% 0.16/0.48 spl0_101),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1697])).
% 0.16/0.48 fof(f1699,plain,(
% 0.16/0.48 v1_funct_1(u1_lattices(sk0_6))),
% 0.16/0.48 inference(resolution,[status(thm)],[f151,f391])).
% 0.16/0.48 fof(f1700,plain,(
% 0.16/0.48 $false|spl0_98),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1699,f1016])).
% 0.16/0.48 fof(f1701,plain,(
% 0.16/0.48 spl0_98),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1700])).
% 0.16/0.48 fof(f1702,plain,(
% 0.16/0.48 v1_funct_1(u1_lattices(sk0_3))),
% 0.16/0.48 inference(resolution,[status(thm)],[f151,f155])).
% 0.16/0.48 fof(f1703,plain,(
% 0.16/0.48 $false|spl0_94),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1702,f1002])).
% 0.16/0.48 fof(f1704,plain,(
% 0.16/0.48 spl0_94),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1703])).
% 0.16/0.48 fof(f1726,plain,(
% 0.16/0.48 spl0_174 <=> r3_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,sk0_2),sk0_1)),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1727,plain,(
% 0.16/0.48 r3_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,sk0_2),sk0_1)|~spl0_174),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1726])).
% 0.16/0.48 fof(f1729,plain,(
% 0.16/0.48 v3_struct_0(sk0_0)|~v6_lattices(sk0_0)|~v8_lattices(sk0_0)|~v9_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(k4_lattices(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0))|~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|r3_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,sk0_2),sk0_1)|~spl0_111),
% 0.16/0.48 inference(resolution,[status(thm)],[f256,f1404])).
% 0.16/0.48 fof(f1730,plain,(
% 0.16/0.48 spl0_6|~spl0_11|~spl0_27|~spl0_52|~spl0_8|~spl0_107|~spl0_58|spl0_174|~spl0_111),
% 0.16/0.48 inference(split_clause,[status(thm)],[f1729,f317,f342,f441,f678,f323,f1157,f716,f1726,f1222])).
% 0.16/0.48 fof(f1743,plain,(
% 0.16/0.48 $false|~spl0_16|spl0_107),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1159,f492])).
% 0.16/0.48 fof(f1744,plain,(
% 0.16/0.48 ~spl0_16|spl0_107),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1743])).
% 0.16/0.48 fof(f1793,plain,(
% 0.16/0.48 spl0_184 <=> r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),a_2_0_filter_2(sk0_0,sk0_1))),
% 0.16/0.48 introduced(split_symbol_definition)).
% 0.16/0.48 fof(f1794,plain,(
% 0.16/0.48 r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),a_2_0_filter_2(sk0_0,sk0_1))|~spl0_184),
% 0.16/0.48 inference(component_clause,[status(thm)],[f1793])).
% 0.16/0.48 fof(f1796,plain,(
% 0.16/0.48 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),a_2_0_filter_2(sk0_0,sk0_1))|~m1_subset_1(k4_lattices(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0))|~spl0_174),
% 0.16/0.48 inference(resolution,[status(thm)],[f1727,f303])).
% 0.16/0.48 fof(f1797,plain,(
% 0.16/0.48 spl0_6|~spl0_7|~spl0_8|~spl0_58|spl0_184|~spl0_107|~spl0_174),
% 0.16/0.48 inference(split_clause,[status(thm)],[f1796,f317,f320,f323,f716,f1793,f1157,f1726])).
% 0.16/0.48 fof(f1798,plain,(
% 0.16/0.48 r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))|~spl0_10|~spl0_184),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f332,f1794])).
% 0.16/0.48 fof(f1799,plain,(
% 0.16/0.48 $false|spl0_1|~spl0_10|~spl0_184),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1798,f296])).
% 0.16/0.48 fof(f1800,plain,(
% 0.16/0.48 spl0_1|~spl0_10|~spl0_184),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f1799])).
% 0.16/0.48 fof(f1801,plain,(
% 0.16/0.48 ~r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))|~spl0_13|spl0_2),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f542,f299])).
% 0.16/0.48 fof(f1802,plain,(
% 0.16/0.48 ~spl0_1|~spl0_13|spl0_2),
% 0.16/0.48 inference(split_clause,[status(thm)],[f1801,f294,f348,f297])).
% 0.16/0.48 fof(f1803,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(sat_refutation,[status(thm)],[f300,f335,f337,f339,f341,f352,f367,f394,f425,f445,f682,f733,f773,f790,f832,f968,f1037,f1039,f1041,f1156,f1174,f1180,f1185,f1226,f1443,f1698,f1701,f1704,f1730,f1744,f1797,f1800,f1802])).
% 0.16/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.49 % Elapsed time: 0.148866 seconds
% 0.16/0.49 % CPU time: 1.042630 seconds
% 0.16/0.49 % Total memory used: 82.618 MB
% 0.16/0.49 % Net memory used: 81.666 MB
%------------------------------------------------------------------------------