TSTP Solution File: LAT305+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n008.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 : Wed May 31 12:17:25 EDT 2023
% Result : Theorem 3.86s 0.85s
% Output : CNFRefutation 3.86s
% 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.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:28:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 3.86/0.85 % Refutation found
% 3.86/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.86/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.86/0.85 fof(f1,conjecture,(
% 3.86/0.85 (! [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)) ) ) )) )) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f2,negated_conjecture,(
% 3.86/0.85 ~((! [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)) ) ) )) )) ))),
% 3.86/0.85 inference(negated_conjecture,[status(cth)],[f1])).
% 3.86/0.85 fof(f4,axiom,(
% 3.86/0.85 (! [A] :( v1_xboole_0(A)=> v1_funct_1(A) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f5,axiom,(
% 3.86/0.85 (! [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) ) ) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f11,axiom,(
% 3.86/0.85 (! [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) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f15,axiom,(
% 3.86/0.85 (! [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) ) )) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f16,axiom,(
% 3.86/0.85 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A)) )=> m2_filter_2(k18_filter_2(A,B),A) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f26,axiom,(
% 3.86/0.85 (! [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)) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f28,axiom,(
% 3.86/0.85 (! [A] :( l1_lattices(A)=> l1_struct_0(A) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f31,axiom,(
% 3.86/0.85 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f34,axiom,(
% 3.86/0.85 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> ( ~ v1_xboole_0(B)& m2_lattice4(B,A) ) ) )) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f37,axiom,(
% 3.86/0.85 (! [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)) ) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f44,axiom,(
% 3.86/0.85 (! [A] :(? [B] : m1_subset_1(B,A) ))),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f49,axiom,(
% 3.86/0.85 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f50,axiom,(
% 3.86/0.85 v1_xboole_0(k1_xboole_0) ),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f57,axiom,(
% 3.86/0.85 (! [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) ) )) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f58,axiom,(
% 3.86/0.85 (? [A] :( v1_relat_1(A)& v1_funct_1(A) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f67,axiom,(
% 3.86/0.85 (? [A] :( v1_relat_1(A)& v1_funct_1(A)& v2_funct_1(A) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f68,axiom,(
% 3.86/0.85 (? [A] :( l1_struct_0(A)& ~ v3_struct_0(A) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f73,axiom,(
% 3.86/0.85 (! [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) ) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f75,axiom,(
% 3.86/0.85 (! [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) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f76,axiom,(
% 3.86/0.85 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f77,axiom,(
% 3.86/0.85 (! [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) ) )) )) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f78,axiom,(
% 3.86/0.85 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 3.86/0.85 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.86/0.85 fof(f86,plain,(
% 3.86/0.85 (?[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)))))))))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.86/0.85 fof(f87,plain,(
% 3.86/0.85 (((~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))))))),
% 3.86/0.85 inference(skolemization,[status(esa)],[f86])).
% 3.86/0.85 fof(f88,plain,(
% 3.86/0.85 ~v3_struct_0(sk0_0)),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f87])).
% 3.86/0.85 fof(f89,plain,(
% 3.86/0.85 v10_lattices(sk0_0)),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f87])).
% 3.86/0.85 fof(f90,plain,(
% 3.86/0.85 l3_lattices(sk0_0)),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f87])).
% 3.86/0.85 fof(f91,plain,(
% 3.86/0.85 m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f87])).
% 3.86/0.85 fof(f92,plain,(
% 3.86/0.85 m1_subset_1(sk0_2,u1_struct_0(sk0_0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f87])).
% 3.86/0.85 fof(f93,plain,(
% 3.86/0.85 ~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))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f87])).
% 3.86/0.85 fof(f96,plain,(
% 3.86/0.85 ![A]: (~v1_xboole_0(A)|v1_funct_1(A))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 3.86/0.85 fof(f97,plain,(
% 3.86/0.85 ![X0]: (~v1_xboole_0(X0)|v1_funct_1(X0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f96])).
% 3.86/0.85 fof(f98,plain,(
% 3.86/0.85 ![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))))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 3.86/0.85 fof(f102,plain,(
% 3.86/0.85 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v6_lattices(X0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f98])).
% 3.86/0.85 fof(f104,plain,(
% 3.86/0.85 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v8_lattices(X0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f98])).
% 3.86/0.85 fof(f105,plain,(
% 3.86/0.85 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v9_lattices(X0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f98])).
% 3.86/0.85 fof(f119,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 3.86/0.85 fof(f120,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f119])).
% 3.86/0.85 fof(f126,plain,(
% 3.86/0.85 ![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))))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 3.86/0.85 fof(f127,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f126])).
% 3.86/0.85 fof(f128,plain,(
% 3.86/0.85 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|m2_filter_2(k18_filter_2(A,B),A))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 3.86/0.85 fof(f129,plain,(
% 3.86/0.85 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|m2_filter_2(k18_filter_2(X0,X1),X0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f128])).
% 3.86/0.85 fof(f134,plain,(
% 3.86/0.85 ![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)))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 3.86/0.85 fof(f135,plain,(
% 3.86/0.85 ![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)))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f134])).
% 3.86/0.85 fof(f136,plain,(
% 3.86/0.85 ![A]: (~l1_lattices(A)|l1_struct_0(A))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 3.86/0.85 fof(f137,plain,(
% 3.86/0.85 ![X0]: (~l1_lattices(X0)|l1_struct_0(X0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f136])).
% 3.86/0.85 fof(f140,plain,(
% 3.86/0.85 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 3.86/0.85 fof(f141,plain,(
% 3.86/0.85 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f140])).
% 3.86/0.85 fof(f143,plain,(
% 3.86/0.85 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m2_filter_2(B,A)|(~v1_xboole_0(B)&m2_lattice4(B,A)))))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 3.86/0.85 fof(f144,plain,(
% 3.86/0.85 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|~v1_xboole_0(X1))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f143])).
% 3.86/0.85 fof(f150,plain,(
% 3.86/0.85 ![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))))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 3.86/0.85 fof(f151,plain,(
% 3.86/0.85 ![X0]: (~l1_lattices(X0)|v1_funct_1(u1_lattices(X0)))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f150])).
% 3.86/0.85 fof(f164,plain,(
% 3.86/0.85 ![A]: m1_subset_1(sk0_8(A),A)),
% 3.86/0.85 inference(skolemization,[status(esa)],[f44])).
% 3.86/0.85 fof(f165,plain,(
% 3.86/0.85 ![X0]: (m1_subset_1(sk0_8(X0),X0))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f164])).
% 3.86/0.85 fof(f176,plain,(
% 3.86/0.85 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f49])).
% 3.86/0.85 fof(f177,plain,(
% 3.86/0.85 v1_xboole_0(k1_xboole_0)),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f50])).
% 3.86/0.85 fof(f198,plain,(
% 3.86/0.85 ![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)))))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 3.86/0.85 fof(f199,plain,(
% 3.86/0.85 ![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))))))),
% 3.86/0.85 inference(NNF_transformation,[status(esa)],[f198])).
% 3.86/0.85 fof(f200,plain,(
% 3.86/0.85 ![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)))))))),
% 3.86/0.85 inference(miniscoping,[status(esa)],[f199])).
% 3.86/0.85 fof(f201,plain,(
% 3.86/0.85 ![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)))))))),
% 3.86/0.85 inference(skolemization,[status(esa)],[f200])).
% 3.86/0.85 fof(f202,plain,(
% 3.86/0.85 ![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(sk0_12(X2,X1,X0),u1_struct_0(X0)))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f201])).
% 3.86/0.85 fof(f205,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f201])).
% 3.86/0.85 fof(f206,plain,(
% 3.86/0.85 (v1_relat_1(sk0_13)&v1_funct_1(sk0_13))),
% 3.86/0.85 inference(skolemization,[status(esa)],[f58])).
% 3.86/0.85 fof(f208,plain,(
% 3.86/0.85 v1_funct_1(sk0_13)),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f206])).
% 3.86/0.85 fof(f234,plain,(
% 3.86/0.85 ((v1_relat_1(sk0_22)&v1_funct_1(sk0_22))&v2_funct_1(sk0_22))),
% 3.86/0.85 inference(skolemization,[status(esa)],[f67])).
% 3.86/0.85 fof(f236,plain,(
% 3.86/0.85 v1_funct_1(sk0_22)),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f234])).
% 3.86/0.85 fof(f238,plain,(
% 3.86/0.85 (l1_struct_0(sk0_23)&~v3_struct_0(sk0_23))),
% 3.86/0.85 inference(skolemization,[status(esa)],[f68])).
% 3.86/0.85 fof(f239,plain,(
% 3.86/0.85 l1_struct_0(sk0_23)),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f238])).
% 3.86/0.85 fof(f240,plain,(
% 3.86/0.85 ~v3_struct_0(sk0_23)),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f238])).
% 3.86/0.85 fof(f253,plain,(
% 3.86/0.85 ![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)))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 3.86/0.85 fof(f254,plain,(
% 3.86/0.85 ![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))))),
% 3.86/0.85 inference(NNF_transformation,[status(esa)],[f253])).
% 3.86/0.85 fof(f256,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f254])).
% 3.86/0.85 fof(f259,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 3.86/0.85 fof(f260,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(miniscoping,[status(esa)],[f259])).
% 3.86/0.85 fof(f261,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f260])).
% 3.86/0.85 fof(f262,plain,(
% 3.86/0.85 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 3.86/0.85 fof(f263,plain,(
% 3.86/0.85 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f262])).
% 3.86/0.85 fof(f264,plain,(
% 3.86/0.85 ![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))))))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f77])).
% 3.86/0.85 fof(f265,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f264])).
% 3.86/0.85 fof(f266,plain,(
% 3.86/0.85 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 3.86/0.85 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 3.86/0.85 fof(f267,plain,(
% 3.86/0.85 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 3.86/0.85 inference(cnf_transformation,[status(esa)],[f266])).
% 3.86/0.85 fof(f291,plain,(
% 3.86/0.85 spl0_0 <=> r2_hidden(sk0_1,k18_filter_2(sk0_0,sk0_1))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f294,plain,(
% 3.86/0.85 spl0_1 <=> r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f296,plain,(
% 3.86/0.85 ~r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))|spl0_1),
% 3.86/0.85 inference(component_clause,[status(thm)],[f294])).
% 3.86/0.85 fof(f297,plain,(
% 3.86/0.85 spl0_2 <=> r2_hidden(k4_lattices(sk0_0,sk0_2,sk0_1),k18_filter_2(sk0_0,sk0_1))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f299,plain,(
% 3.86/0.85 ~r2_hidden(k4_lattices(sk0_0,sk0_2,sk0_1),k18_filter_2(sk0_0,sk0_1))|spl0_2),
% 3.86/0.85 inference(component_clause,[status(thm)],[f297])).
% 3.86/0.85 fof(f300,plain,(
% 3.86/0.85 ~spl0_0|~spl0_1|~spl0_2),
% 3.86/0.85 inference(split_clause,[status(thm)],[f93,f291,f294,f297])).
% 3.86/0.85 fof(f301,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(destructive_equality_resolution,[status(esa)],[f205])).
% 3.86/0.85 fof(f302,plain,(
% 3.86/0.85 spl0_3 <=> v3_struct_0(sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f303,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~spl0_3),
% 3.86/0.85 inference(component_clause,[status(thm)],[f302])).
% 3.86/0.85 fof(f305,plain,(
% 3.86/0.85 spl0_4 <=> v10_lattices(sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f307,plain,(
% 3.86/0.85 ~v10_lattices(sk0_0)|spl0_4),
% 3.86/0.85 inference(component_clause,[status(thm)],[f305])).
% 3.86/0.85 fof(f308,plain,(
% 3.86/0.85 spl0_5 <=> l3_lattices(sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f310,plain,(
% 3.86/0.85 ~l3_lattices(sk0_0)|spl0_5),
% 3.86/0.85 inference(component_clause,[status(thm)],[f308])).
% 3.86/0.85 fof(f311,plain,(
% 3.86/0.85 spl0_6 <=> k18_filter_2(sk0_0,sk0_2)=a_2_0_filter_2(sk0_0,sk0_2)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f312,plain,(
% 3.86/0.85 k18_filter_2(sk0_0,sk0_2)=a_2_0_filter_2(sk0_0,sk0_2)|~spl0_6),
% 3.86/0.85 inference(component_clause,[status(thm)],[f311])).
% 3.86/0.85 fof(f314,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|k18_filter_2(sk0_0,sk0_2)=a_2_0_filter_2(sk0_0,sk0_2)),
% 3.86/0.85 inference(resolution,[status(thm)],[f127,f92])).
% 3.86/0.85 fof(f315,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|spl0_6),
% 3.86/0.85 inference(split_clause,[status(thm)],[f314,f302,f305,f308,f311])).
% 3.86/0.85 fof(f316,plain,(
% 3.86/0.85 spl0_7 <=> k18_filter_2(sk0_0,sk0_1)=a_2_0_filter_2(sk0_0,sk0_1)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f317,plain,(
% 3.86/0.85 k18_filter_2(sk0_0,sk0_1)=a_2_0_filter_2(sk0_0,sk0_1)|~spl0_7),
% 3.86/0.85 inference(component_clause,[status(thm)],[f316])).
% 3.86/0.85 fof(f319,plain,(
% 3.86/0.85 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)),
% 3.86/0.85 inference(resolution,[status(thm)],[f127,f91])).
% 3.86/0.85 fof(f320,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|spl0_7),
% 3.86/0.85 inference(split_clause,[status(thm)],[f319,f302,f305,f308,f316])).
% 3.86/0.85 fof(f321,plain,(
% 3.86/0.85 $false|spl0_5),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f310,f90])).
% 3.86/0.85 fof(f322,plain,(
% 3.86/0.85 spl0_5),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f321])).
% 3.86/0.85 fof(f323,plain,(
% 3.86/0.85 $false|spl0_4),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f307,f89])).
% 3.86/0.85 fof(f324,plain,(
% 3.86/0.85 spl0_4),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f323])).
% 3.86/0.85 fof(f325,plain,(
% 3.86/0.85 $false|~spl0_3),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f303,f88])).
% 3.86/0.85 fof(f326,plain,(
% 3.86/0.85 ~spl0_3),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f325])).
% 3.86/0.85 fof(f327,plain,(
% 3.86/0.85 spl0_8 <=> v6_lattices(sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f330,plain,(
% 3.86/0.85 spl0_9 <=> l1_lattices(sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f332,plain,(
% 3.86/0.85 ~l1_lattices(sk0_0)|spl0_9),
% 3.86/0.85 inference(component_clause,[status(thm)],[f330])).
% 3.86/0.85 fof(f333,plain,(
% 3.86/0.85 spl0_10 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|k4_lattices(sk0_0,sk0_2,X0)=k4_lattices(sk0_0,X0,sk0_2)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f334,plain,(
% 3.86/0.85 ![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_10)),
% 3.86/0.85 inference(component_clause,[status(thm)],[f333])).
% 3.86/0.85 fof(f336,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(resolution,[status(thm)],[f120,f92])).
% 3.86/0.85 fof(f337,plain,(
% 3.86/0.85 spl0_3|~spl0_8|~spl0_9|spl0_10),
% 3.86/0.85 inference(split_clause,[status(thm)],[f336,f302,f327,f330,f333])).
% 3.86/0.85 fof(f348,plain,(
% 3.86/0.85 spl0_13 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|m1_subset_1(k4_lattices(sk0_0,sk0_1,X0),u1_struct_0(sk0_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f349,plain,(
% 3.86/0.85 ![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_13)),
% 3.86/0.85 inference(component_clause,[status(thm)],[f348])).
% 3.86/0.85 fof(f351,plain,(
% 3.86/0.85 ![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)))),
% 3.86/0.85 inference(resolution,[status(thm)],[f135,f91])).
% 3.86/0.85 fof(f352,plain,(
% 3.86/0.85 spl0_3|~spl0_8|~spl0_9|spl0_13),
% 3.86/0.85 inference(split_clause,[status(thm)],[f351,f302,f327,f330,f348])).
% 3.86/0.85 fof(f368,plain,(
% 3.86/0.85 v1_funct_1(k1_xboole_0)),
% 3.86/0.85 inference(resolution,[status(thm)],[f97,f177])).
% 3.86/0.85 fof(f392,plain,(
% 3.86/0.85 l1_lattices(sk0_0)),
% 3.86/0.85 inference(resolution,[status(thm)],[f141,f90])).
% 3.86/0.85 fof(f393,plain,(
% 3.86/0.85 $false|spl0_9),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f392,f332])).
% 3.86/0.85 fof(f394,plain,(
% 3.86/0.85 spl0_9),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f393])).
% 3.86/0.85 fof(f395,plain,(
% 3.86/0.85 l1_struct_0(sk0_0)),
% 3.86/0.85 inference(resolution,[status(thm)],[f392,f137])).
% 3.86/0.85 fof(f470,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|v6_lattices(sk0_0)),
% 3.86/0.85 inference(resolution,[status(thm)],[f102,f90])).
% 3.86/0.85 fof(f471,plain,(
% 3.86/0.85 spl0_3|~spl0_4|spl0_8),
% 3.86/0.85 inference(split_clause,[status(thm)],[f470,f302,f305,f327])).
% 3.86/0.85 fof(f528,plain,(
% 3.86/0.85 spl0_35 <=> v1_xboole_0(k1_xboole_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f530,plain,(
% 3.86/0.85 ~v1_xboole_0(k1_xboole_0)|spl0_35),
% 3.86/0.85 inference(component_clause,[status(thm)],[f528])).
% 3.86/0.85 fof(f558,plain,(
% 3.86/0.85 k4_lattices(sk0_0,sk0_2,sk0_1)=k4_lattices(sk0_0,sk0_1,sk0_2)|~spl0_10),
% 3.86/0.85 inference(resolution,[status(thm)],[f334,f91])).
% 3.86/0.85 fof(f560,plain,(
% 3.86/0.85 m1_subset_1(k4_lattices(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0))|~spl0_13),
% 3.86/0.85 inference(resolution,[status(thm)],[f349,f92])).
% 3.86/0.85 fof(f579,plain,(
% 3.86/0.85 spl0_40 <=> v8_lattices(sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f582,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|v8_lattices(sk0_0)),
% 3.86/0.85 inference(resolution,[status(thm)],[f104,f90])).
% 3.86/0.85 fof(f583,plain,(
% 3.86/0.85 spl0_3|~spl0_4|spl0_40),
% 3.86/0.85 inference(split_clause,[status(thm)],[f582,f302,f305,f579])).
% 3.86/0.85 fof(f589,plain,(
% 3.86/0.85 spl0_42 <=> v9_lattices(sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f592,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|v9_lattices(sk0_0)),
% 3.86/0.85 inference(resolution,[status(thm)],[f105,f90])).
% 3.86/0.85 fof(f593,plain,(
% 3.86/0.85 spl0_3|~spl0_4|spl0_42),
% 3.86/0.85 inference(split_clause,[status(thm)],[f592,f302,f305,f589])).
% 3.86/0.85 fof(f742,plain,(
% 3.86/0.85 spl0_62 <=> m2_filter_2(k18_filter_2(sk0_0,sk0_2),sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f743,plain,(
% 3.86/0.85 m2_filter_2(k18_filter_2(sk0_0,sk0_2),sk0_0)|~spl0_62),
% 3.86/0.85 inference(component_clause,[status(thm)],[f742])).
% 3.86/0.85 fof(f745,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|m2_filter_2(k18_filter_2(sk0_0,sk0_2),sk0_0)),
% 3.86/0.85 inference(resolution,[status(thm)],[f129,f92])).
% 3.86/0.85 fof(f746,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|spl0_62),
% 3.86/0.85 inference(split_clause,[status(thm)],[f745,f302,f305,f308,f742])).
% 3.86/0.85 fof(f747,plain,(
% 3.86/0.85 spl0_63 <=> m2_filter_2(k18_filter_2(sk0_0,sk0_1),sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f748,plain,(
% 3.86/0.85 m2_filter_2(k18_filter_2(sk0_0,sk0_1),sk0_0)|~spl0_63),
% 3.86/0.85 inference(component_clause,[status(thm)],[f747])).
% 3.86/0.85 fof(f750,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|m2_filter_2(k18_filter_2(sk0_0,sk0_1),sk0_0)),
% 3.86/0.85 inference(resolution,[status(thm)],[f129,f91])).
% 3.86/0.85 fof(f751,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|spl0_63),
% 3.86/0.85 inference(split_clause,[status(thm)],[f750,f302,f305,f308,f747])).
% 3.86/0.85 fof(f782,plain,(
% 3.86/0.85 spl0_70 <=> m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f784,plain,(
% 3.86/0.85 ~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|spl0_70),
% 3.86/0.85 inference(component_clause,[status(thm)],[f782])).
% 3.86/0.85 fof(f790,plain,(
% 3.86/0.85 spl0_72 <=> m1_subset_1(sk0_2,u1_struct_0(sk0_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f792,plain,(
% 3.86/0.85 ~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|spl0_72),
% 3.86/0.85 inference(component_clause,[status(thm)],[f790])).
% 3.86/0.85 fof(f798,plain,(
% 3.86/0.85 $false|spl0_70),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f784,f91])).
% 3.86/0.85 fof(f799,plain,(
% 3.86/0.85 spl0_70),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f798])).
% 3.86/0.85 fof(f800,plain,(
% 3.86/0.85 $false|spl0_72),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f792,f92])).
% 3.86/0.85 fof(f801,plain,(
% 3.86/0.85 spl0_72),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f800])).
% 3.86/0.85 fof(f847,plain,(
% 3.86/0.85 spl0_83 <=> ~r2_hidden(X0,k18_filter_2(sk0_0,sk0_2))|m1_subset_1(sk0_12(X0,sk0_2,sk0_0),u1_struct_0(sk0_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f848,plain,(
% 3.86/0.85 ![X0]: (~r2_hidden(X0,k18_filter_2(sk0_0,sk0_2))|m1_subset_1(sk0_12(X0,sk0_2,sk0_0),u1_struct_0(sk0_0))|~spl0_83)),
% 3.86/0.85 inference(component_clause,[status(thm)],[f847])).
% 3.86/0.85 fof(f850,plain,(
% 3.86/0.85 ![X0]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|~r2_hidden(X0,k18_filter_2(sk0_0,sk0_2))|m1_subset_1(sk0_12(X0,sk0_2,sk0_0),u1_struct_0(sk0_0))|~spl0_6)),
% 3.86/0.85 inference(paramodulation,[status(thm)],[f312,f202])).
% 3.86/0.85 fof(f851,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|~spl0_72|spl0_83|~spl0_6),
% 3.86/0.85 inference(split_clause,[status(thm)],[f850,f302,f305,f308,f790,f847,f311])).
% 3.86/0.85 fof(f907,plain,(
% 3.86/0.85 spl0_89 <=> v1_funct_1(k1_xboole_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f909,plain,(
% 3.86/0.85 ~v1_funct_1(k1_xboole_0)|spl0_89),
% 3.86/0.85 inference(component_clause,[status(thm)],[f907])).
% 3.86/0.85 fof(f915,plain,(
% 3.86/0.85 spl0_91 <=> v1_funct_1(sk0_22)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f917,plain,(
% 3.86/0.85 ~v1_funct_1(sk0_22)|spl0_91),
% 3.86/0.85 inference(component_clause,[status(thm)],[f915])).
% 3.86/0.85 fof(f923,plain,(
% 3.86/0.85 spl0_93 <=> v1_funct_1(sk0_13)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f925,plain,(
% 3.86/0.85 ~v1_funct_1(sk0_13)|spl0_93),
% 3.86/0.85 inference(component_clause,[status(thm)],[f923])).
% 3.86/0.85 fof(f931,plain,(
% 3.86/0.85 $false|spl0_93),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f925,f208])).
% 3.86/0.85 fof(f932,plain,(
% 3.86/0.85 spl0_93),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f931])).
% 3.86/0.85 fof(f933,plain,(
% 3.86/0.85 $false|spl0_91),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f917,f236])).
% 3.86/0.85 fof(f934,plain,(
% 3.86/0.85 spl0_91),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f933])).
% 3.86/0.85 fof(f935,plain,(
% 3.86/0.85 $false|spl0_89),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f909,f368])).
% 3.86/0.85 fof(f936,plain,(
% 3.86/0.85 spl0_89),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f935])).
% 3.86/0.85 fof(f972,plain,(
% 3.86/0.85 v1_funct_1(u1_lattices(sk0_0))),
% 3.86/0.85 inference(resolution,[status(thm)],[f151,f392])).
% 3.86/0.85 fof(f1024,plain,(
% 3.86/0.85 spl0_107 <=> v1_xboole_0(k18_filter_2(sk0_0,sk0_2))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f1027,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~v1_xboole_0(k18_filter_2(sk0_0,sk0_2))|~spl0_62),
% 3.86/0.85 inference(resolution,[status(thm)],[f743,f144])).
% 3.86/0.85 fof(f1028,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|~spl0_107|~spl0_62),
% 3.86/0.85 inference(split_clause,[status(thm)],[f1027,f302,f305,f308,f1024,f742])).
% 3.86/0.85 fof(f1034,plain,(
% 3.86/0.85 spl0_109 <=> v1_xboole_0(k18_filter_2(sk0_0,sk0_1))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f1037,plain,(
% 3.86/0.85 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~v1_xboole_0(k18_filter_2(sk0_0,sk0_1))|~spl0_63),
% 3.86/0.85 inference(resolution,[status(thm)],[f748,f144])).
% 3.86/0.85 fof(f1038,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|~spl0_109|~spl0_63),
% 3.86/0.85 inference(split_clause,[status(thm)],[f1037,f302,f305,f308,f1034,f747])).
% 3.86/0.85 fof(f1060,plain,(
% 3.86/0.85 spl0_113 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f1061,plain,(
% 3.86/0.85 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_113),
% 3.86/0.85 inference(component_clause,[status(thm)],[f1060])).
% 3.86/0.85 fof(f1068,plain,(
% 3.86/0.85 $false|~spl0_113),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1061,f176])).
% 3.86/0.85 fof(f1069,plain,(
% 3.86/0.85 ~spl0_113),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f1068])).
% 3.86/0.85 fof(f1207,plain,(
% 3.86/0.85 ![X0]: (v1_xboole_0(X0)|r2_hidden(sk0_8(X0),X0))),
% 3.86/0.85 inference(resolution,[status(thm)],[f165,f267])).
% 3.86/0.85 fof(f1226,plain,(
% 3.86/0.85 spl0_126 <=> m1_subset_1(sk0_12(sk0_8(k18_filter_2(sk0_0,sk0_2)),sk0_2,sk0_0),u1_struct_0(sk0_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f1227,plain,(
% 3.86/0.85 m1_subset_1(sk0_12(sk0_8(k18_filter_2(sk0_0,sk0_2)),sk0_2,sk0_0),u1_struct_0(sk0_0))|~spl0_126),
% 3.86/0.85 inference(component_clause,[status(thm)],[f1226])).
% 3.86/0.85 fof(f1229,plain,(
% 3.86/0.85 v1_xboole_0(k18_filter_2(sk0_0,sk0_2))|m1_subset_1(sk0_12(sk0_8(k18_filter_2(sk0_0,sk0_2)),sk0_2,sk0_0),u1_struct_0(sk0_0))|~spl0_83),
% 3.86/0.85 inference(resolution,[status(thm)],[f1207,f848])).
% 3.86/0.85 fof(f1230,plain,(
% 3.86/0.85 spl0_107|spl0_126|~spl0_83),
% 3.86/0.85 inference(split_clause,[status(thm)],[f1229,f1024,f1226,f847])).
% 3.86/0.85 fof(f1373,plain,(
% 3.86/0.85 $false|spl0_35),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f530,f177])).
% 3.86/0.85 fof(f1374,plain,(
% 3.86/0.85 spl0_35),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f1373])).
% 3.86/0.85 fof(f1435,plain,(
% 3.86/0.85 spl0_150 <=> v1_funct_1(u1_lattices(sk0_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f1437,plain,(
% 3.86/0.85 ~v1_funct_1(u1_lattices(sk0_0))|spl0_150),
% 3.86/0.85 inference(component_clause,[status(thm)],[f1435])).
% 3.86/0.85 fof(f1451,plain,(
% 3.86/0.85 $false|spl0_150),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1437,f972])).
% 3.86/0.85 fof(f1452,plain,(
% 3.86/0.85 spl0_150),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f1451])).
% 3.86/0.85 fof(f1887,plain,(
% 3.86/0.85 spl0_221 <=> v1_xboole_0(k1_zfmisc_1(k1_xboole_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f1888,plain,(
% 3.86/0.85 v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|~spl0_221),
% 3.86/0.85 inference(component_clause,[status(thm)],[f1887])).
% 3.86/0.85 fof(f1901,plain,(
% 3.86/0.85 $false|~spl0_221),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1888,f176])).
% 3.86/0.85 fof(f1902,plain,(
% 3.86/0.85 ~spl0_221),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f1901])).
% 3.86/0.85 fof(f3388,plain,(
% 3.86/0.85 spl0_456 <=> v3_struct_0(sk0_23)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f3389,plain,(
% 3.86/0.85 v3_struct_0(sk0_23)|~spl0_456),
% 3.86/0.85 inference(component_clause,[status(thm)],[f3388])).
% 3.86/0.85 fof(f3404,plain,(
% 3.86/0.85 ~r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))|~spl0_10|spl0_2),
% 3.86/0.85 inference(backward_demodulation,[status(thm)],[f558,f299])).
% 3.86/0.85 fof(f3405,plain,(
% 3.86/0.85 $false|~spl0_456),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3389,f240])).
% 3.86/0.85 fof(f3406,plain,(
% 3.86/0.85 ~spl0_456),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f3405])).
% 3.86/0.85 fof(f3414,plain,(
% 3.86/0.85 spl0_461 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f3415,plain,(
% 3.86/0.85 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~spl0_461)),
% 3.86/0.85 inference(component_clause,[status(thm)],[f3414])).
% 3.86/0.85 fof(f3534,plain,(
% 3.86/0.85 spl0_485 <=> r3_lattices(sk0_0,sk0_1,sk0_1)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f3535,plain,(
% 3.86/0.85 r3_lattices(sk0_0,sk0_1,sk0_1)|~spl0_485),
% 3.86/0.85 inference(component_clause,[status(thm)],[f3534])).
% 3.86/0.85 fof(f3537,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(resolution,[status(thm)],[f261,f91])).
% 3.86/0.85 fof(f3538,plain,(
% 3.86/0.85 spl0_3|~spl0_8|~spl0_40|~spl0_42|~spl0_5|spl0_461|spl0_485),
% 3.86/0.85 inference(split_clause,[status(thm)],[f3537,f302,f327,f579,f589,f308,f3414,f3534])).
% 3.86/0.85 fof(f3656,plain,(
% 3.86/0.85 spl0_509 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|r1_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,X0),sk0_1)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f3657,plain,(
% 3.86/0.85 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|r1_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,X0),sk0_1)|~spl0_509)),
% 3.86/0.85 inference(component_clause,[status(thm)],[f3656])).
% 3.86/0.85 fof(f3659,plain,(
% 3.86/0.85 ![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))),
% 3.86/0.85 inference(resolution,[status(thm)],[f265,f91])).
% 3.86/0.85 fof(f3660,plain,(
% 3.86/0.85 spl0_3|~spl0_8|~spl0_40|~spl0_5|spl0_509),
% 3.86/0.85 inference(split_clause,[status(thm)],[f3659,f302,f327,f579,f308,f3656])).
% 3.86/0.85 fof(f3737,plain,(
% 3.86/0.85 $false|~spl0_461|~spl0_126),
% 3.86/0.85 inference(backward_subsumption_resolution,[status(thm)],[f1227,f3415])).
% 3.86/0.85 fof(f3738,plain,(
% 3.86/0.85 ~spl0_461|~spl0_126),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f3737])).
% 3.86/0.85 fof(f3900,plain,(
% 3.86/0.85 spl0_523 <=> r2_hidden(sk0_1,a_2_0_filter_2(sk0_0,sk0_1))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f3901,plain,(
% 3.86/0.85 r2_hidden(sk0_1,a_2_0_filter_2(sk0_0,sk0_1))|~spl0_523),
% 3.86/0.85 inference(component_clause,[status(thm)],[f3900])).
% 3.86/0.85 fof(f3903,plain,(
% 3.86/0.85 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_485),
% 3.86/0.85 inference(resolution,[status(thm)],[f3535,f301])).
% 3.86/0.85 fof(f3904,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|~spl0_70|spl0_523|~spl0_485),
% 3.86/0.85 inference(split_clause,[status(thm)],[f3903,f302,f305,f308,f782,f3900,f3534])).
% 3.86/0.85 fof(f3905,plain,(
% 3.86/0.85 r2_hidden(sk0_1,k18_filter_2(sk0_0,sk0_1))|~spl0_7|~spl0_523),
% 3.86/0.85 inference(forward_demodulation,[status(thm)],[f317,f3901])).
% 3.86/0.85 fof(f3912,plain,(
% 3.86/0.85 m1_subset_1(sk0_1,k18_filter_2(sk0_0,sk0_1))|~spl0_7|~spl0_523),
% 3.86/0.85 inference(resolution,[status(thm)],[f3905,f263])).
% 3.86/0.85 fof(f3918,plain,(
% 3.86/0.85 r1_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,sk0_2),sk0_1)|~spl0_509),
% 3.86/0.85 inference(resolution,[status(thm)],[f3657,f92])).
% 3.86/0.85 fof(f3936,plain,(
% 3.86/0.85 v1_xboole_0(k18_filter_2(sk0_0,sk0_1))|r2_hidden(sk0_1,k18_filter_2(sk0_0,sk0_1))|~spl0_7|~spl0_523),
% 3.86/0.85 inference(resolution,[status(thm)],[f3912,f267])).
% 3.86/0.85 fof(f3937,plain,(
% 3.86/0.85 spl0_109|spl0_0|~spl0_7|~spl0_523),
% 3.86/0.85 inference(split_clause,[status(thm)],[f3936,f1034,f291,f316,f3900])).
% 3.86/0.85 fof(f3954,plain,(
% 3.86/0.85 spl0_528 <=> l1_struct_0(sk0_0)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f3956,plain,(
% 3.86/0.85 ~l1_struct_0(sk0_0)|spl0_528),
% 3.86/0.85 inference(component_clause,[status(thm)],[f3954])).
% 3.86/0.85 fof(f3965,plain,(
% 3.86/0.85 $false|spl0_528),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f3956,f395])).
% 3.86/0.85 fof(f3966,plain,(
% 3.86/0.85 spl0_528),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f3965])).
% 3.86/0.85 fof(f4302,plain,(
% 3.86/0.85 spl0_562 <=> m1_subset_1(k4_lattices(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f4304,plain,(
% 3.86/0.85 ~m1_subset_1(k4_lattices(sk0_0,sk0_1,sk0_2),u1_struct_0(sk0_0))|spl0_562),
% 3.86/0.85 inference(component_clause,[status(thm)],[f4302])).
% 3.86/0.85 fof(f4310,plain,(
% 3.86/0.85 $false|~spl0_13|spl0_562),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f4304,f560])).
% 3.86/0.85 fof(f4311,plain,(
% 3.86/0.85 ~spl0_13|spl0_562),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f4310])).
% 3.86/0.85 fof(f4332,plain,(
% 3.86/0.85 spl0_568 <=> r3_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,sk0_2),sk0_1)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f4333,plain,(
% 3.86/0.85 r3_lattices(sk0_0,k4_lattices(sk0_0,sk0_1,sk0_2),sk0_1)|~spl0_568),
% 3.86/0.85 inference(component_clause,[status(thm)],[f4332])).
% 3.86/0.85 fof(f4335,plain,(
% 3.86/0.85 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_509),
% 3.86/0.85 inference(resolution,[status(thm)],[f3918,f256])).
% 3.86/0.85 fof(f4336,plain,(
% 3.86/0.85 spl0_3|~spl0_8|~spl0_40|~spl0_42|~spl0_5|~spl0_562|~spl0_70|spl0_568|~spl0_509),
% 3.86/0.85 inference(split_clause,[status(thm)],[f4335,f302,f327,f579,f589,f308,f4302,f782,f4332,f3656])).
% 3.86/0.85 fof(f5082,plain,(
% 3.86/0.85 spl0_608 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_23)))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f5083,plain,(
% 3.86/0.85 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_23)))|~spl0_608),
% 3.86/0.85 inference(component_clause,[status(thm)],[f5082])).
% 3.86/0.85 fof(f5090,plain,(
% 3.86/0.85 $false|~spl0_608),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f5083,f176])).
% 3.86/0.85 fof(f5091,plain,(
% 3.86/0.85 ~spl0_608),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f5090])).
% 3.86/0.85 fof(f5092,plain,(
% 3.86/0.85 spl0_610 <=> l1_struct_0(sk0_23)),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f5094,plain,(
% 3.86/0.85 ~l1_struct_0(sk0_23)|spl0_610),
% 3.86/0.85 inference(component_clause,[status(thm)],[f5092])).
% 3.86/0.85 fof(f5105,plain,(
% 3.86/0.85 $false|spl0_610),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f5094,f239])).
% 3.86/0.85 fof(f5106,plain,(
% 3.86/0.85 spl0_610),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f5105])).
% 3.86/0.85 fof(f6074,plain,(
% 3.86/0.85 spl0_708 <=> r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),a_2_0_filter_2(sk0_0,sk0_1))),
% 3.86/0.85 introduced(split_symbol_definition)).
% 3.86/0.85 fof(f6075,plain,(
% 3.86/0.85 r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),a_2_0_filter_2(sk0_0,sk0_1))|~spl0_708),
% 3.86/0.85 inference(component_clause,[status(thm)],[f6074])).
% 3.86/0.85 fof(f6077,plain,(
% 3.86/0.85 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_568),
% 3.86/0.85 inference(resolution,[status(thm)],[f4333,f301])).
% 3.86/0.85 fof(f6078,plain,(
% 3.86/0.85 spl0_3|~spl0_4|~spl0_5|~spl0_70|spl0_708|~spl0_562|~spl0_568),
% 3.86/0.85 inference(split_clause,[status(thm)],[f6077,f302,f305,f308,f782,f6074,f4302,f4332])).
% 3.86/0.85 fof(f6079,plain,(
% 3.86/0.85 r2_hidden(k4_lattices(sk0_0,sk0_1,sk0_2),k18_filter_2(sk0_0,sk0_1))|~spl0_7|~spl0_708),
% 3.86/0.85 inference(forward_demodulation,[status(thm)],[f317,f6075])).
% 3.86/0.85 fof(f6080,plain,(
% 3.86/0.85 $false|spl0_1|~spl0_7|~spl0_708),
% 3.86/0.85 inference(forward_subsumption_resolution,[status(thm)],[f6079,f296])).
% 3.86/0.85 fof(f6081,plain,(
% 3.86/0.85 spl0_1|~spl0_7|~spl0_708),
% 3.86/0.85 inference(contradiction_clause,[status(thm)],[f6080])).
% 3.86/0.85 fof(f6082,plain,(
% 3.86/0.85 ~spl0_1|~spl0_10|spl0_2),
% 3.86/0.85 inference(split_clause,[status(thm)],[f3404,f294,f333,f297])).
% 3.86/0.85 fof(f6083,plain,(
% 3.86/0.85 $false),
% 3.86/0.85 inference(sat_refutation,[status(thm)],[f300,f315,f320,f322,f324,f326,f337,f352,f394,f471,f583,f593,f746,f751,f799,f801,f851,f932,f934,f936,f1028,f1038,f1069,f1230,f1374,f1452,f1902,f3406,f3538,f3660,f3738,f3904,f3937,f3966,f4311,f4336,f5091,f5106,f6078,f6081,f6082])).
% 3.86/0.85 % SZS output end CNFRefutation for theBenchmark.p
% 3.86/0.87 % Elapsed time: 0.531745 seconds
% 3.86/0.87 % CPU time: 4.033212 seconds
% 3.86/0.87 % Memory used: 99.611 MB
%------------------------------------------------------------------------------