TSTP Solution File: LAT296+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT296+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:25:41 EDT 2024
% Result : Theorem 2.59s 0.66s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT296+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n026.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 20:17:34 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 2.59/0.66 % Refutation found
% 2.59/0.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.59/0.66 % SZS output start CNFRefutation for theBenchmark
% 2.59/0.66 fof(f1,conjecture,(
% 2.59/0.66 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v10_lattices(B)& v17_lattices(B)& l3_lattices(B) )=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> (! [D] :( m1_subset_1(D,u1_struct_0(B))=> ( C = D=> k7_lattices(A,C) = k7_lattices(B,D) ) ) )) )) ) )) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f2,negated_conjecture,(
% 2.59/0.66 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v10_lattices(B)& v17_lattices(B)& l3_lattices(B) )=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> (! [D] :( m1_subset_1(D,u1_struct_0(B))=> ( C = D=> k7_lattices(A,C) = k7_lattices(B,D) ) ) )) )) ) )) ))),
% 2.59/0.66 inference(negated_conjecture,[status(cth)],[f1])).
% 2.59/0.66 fof(f12,axiom,(
% 2.59/0.66 (! [A] :( l3_lattices(A)=> ( ( ~ v3_struct_0(A)& v17_lattices(A) )=> ( ~ v3_struct_0(A)& v11_lattices(A)& v13_lattices(A)& v14_lattices(A)& v15_lattices(A)& v16_lattices(A) ) ) ) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f15,axiom,(
% 2.59/0.66 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> ( ( ~ v3_struct_0(A)& v10_lattices(A)& v11_lattices(A)& v16_lattices(A)& l3_lattices(A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( C = k7_lattices(A,B)<=> r2_lattices(A,C,B) ) ) )) ) )) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f20,axiom,(
% 2.59/0.66 (! [A,B] :( ( ~ v3_struct_0(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A)) )=> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)) ) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f24,axiom,(
% 2.59/0.66 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f28,axiom,(
% 2.59/0.66 (! [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)) ) ) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f30,axiom,(
% 2.59/0.66 (! [A] :( l2_lattices(A)=> ( v1_funct_1(u2_lattices(A))& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f47,axiom,(
% 2.59/0.66 (! [A,B,C] :( ( v1_funct_1(B)& v1_funct_2(B,k2_zfmisc_1(A,A),A)& m1_relset_1(B,k2_zfmisc_1(A,A),A)& v1_funct_1(C)& v1_funct_2(C,k2_zfmisc_1(A,A),A)& m1_relset_1(C,k2_zfmisc_1(A,A),A) )=> (! [D,E,F] :( g3_lattices(A,B,C) = g3_lattices(D,E,F)=> ( A = D& B = E& C = F ) ) )) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f64,axiom,(
% 2.59/0.66 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f66,axiom,(
% 2.59/0.66 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v15_lattices(A)& v16_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v10_lattices(B)& v15_lattices(B)& v16_lattices(B)& l3_lattices(B) )=> ( g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> (! [E] :( m1_subset_1(E,u1_struct_0(B))=> (! [F] :( m1_subset_1(F,u1_struct_0(B))=> ( ( C = E& D = F& r2_lattices(A,C,D) )=> r2_lattices(B,E,F) ) ) )) )) )) )) ) )) )),
% 2.59/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.59/0.66 fof(f75,plain,(
% 2.59/0.66 (?[A]: ((((~v3_struct_0(A)&v10_lattices(A))&v17_lattices(A))&l3_lattices(A))&(?[B]: ((((~v3_struct_0(B)&v10_lattices(B))&v17_lattices(B))&l3_lattices(B))&(g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))=g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))&(?[C]: (m1_subset_1(C,u1_struct_0(A))&(?[D]: (m1_subset_1(D,u1_struct_0(B))&(C=D&~k7_lattices(A,C)=k7_lattices(B,D)))))))))))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.59/0.67 fof(f76,plain,(
% 2.59/0.67 ((((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&v17_lattices(sk0_0))&l3_lattices(sk0_0))&((((~v3_struct_0(sk0_1)&v10_lattices(sk0_1))&v17_lattices(sk0_1))&l3_lattices(sk0_1))&(g3_lattices(u1_struct_0(sk0_0),u2_lattices(sk0_0),u1_lattices(sk0_0))=g3_lattices(u1_struct_0(sk0_1),u2_lattices(sk0_1),u1_lattices(sk0_1))&(m1_subset_1(sk0_2,u1_struct_0(sk0_0))&(m1_subset_1(sk0_3,u1_struct_0(sk0_1))&(sk0_2=sk0_3&~k7_lattices(sk0_0,sk0_2)=k7_lattices(sk0_1,sk0_3)))))))),
% 2.59/0.67 inference(skolemization,[status(esa)],[f75])).
% 2.59/0.67 fof(f77,plain,(
% 2.59/0.67 ~v3_struct_0(sk0_0)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f78,plain,(
% 2.59/0.67 v10_lattices(sk0_0)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f79,plain,(
% 2.59/0.67 v17_lattices(sk0_0)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f80,plain,(
% 2.59/0.67 l3_lattices(sk0_0)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f81,plain,(
% 2.59/0.67 ~v3_struct_0(sk0_1)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f82,plain,(
% 2.59/0.67 v10_lattices(sk0_1)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f83,plain,(
% 2.59/0.67 v17_lattices(sk0_1)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f84,plain,(
% 2.59/0.67 l3_lattices(sk0_1)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f85,plain,(
% 2.59/0.67 g3_lattices(u1_struct_0(sk0_0),u2_lattices(sk0_0),u1_lattices(sk0_0))=g3_lattices(u1_struct_0(sk0_1),u2_lattices(sk0_1),u1_lattices(sk0_1))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f86,plain,(
% 2.59/0.67 m1_subset_1(sk0_2,u1_struct_0(sk0_0))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f87,plain,(
% 2.59/0.67 m1_subset_1(sk0_3,u1_struct_0(sk0_1))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f88,plain,(
% 2.59/0.67 sk0_2=sk0_3),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f89,plain,(
% 2.59/0.67 ~k7_lattices(sk0_0,sk0_2)=k7_lattices(sk0_1,sk0_3)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f76])).
% 2.59/0.67 fof(f121,plain,(
% 2.59/0.67 ![A]: (~l3_lattices(A)|((v3_struct_0(A)|~v17_lattices(A))|(((((~v3_struct_0(A)&v11_lattices(A))&v13_lattices(A))&v14_lattices(A))&v15_lattices(A))&v16_lattices(A))))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 2.59/0.67 fof(f123,plain,(
% 2.59/0.67 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v17_lattices(X0)|v11_lattices(X0))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f121])).
% 2.59/0.67 fof(f126,plain,(
% 2.59/0.67 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v17_lattices(X0)|v15_lattices(X0))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f121])).
% 2.59/0.67 fof(f127,plain,(
% 2.59/0.67 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v17_lattices(X0)|v16_lattices(X0))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f121])).
% 2.59/0.67 fof(f141,plain,(
% 2.59/0.67 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(((((v3_struct_0(A)|~v10_lattices(A))|~v11_lattices(A))|~v16_lattices(A))|~l3_lattices(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(C=k7_lattices(A,B)<=>r2_lattices(A,C,B))))))))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.59/0.67 fof(f142,plain,(
% 2.59/0.67 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(((((v3_struct_0(A)|~v10_lattices(A))|~v11_lattices(A))|~v16_lattices(A))|~l3_lattices(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|((~C=k7_lattices(A,B)|r2_lattices(A,C,B))&(C=k7_lattices(A,B)|~r2_lattices(A,C,B)))))))))),
% 2.59/0.67 inference(NNF_transformation,[status(esa)],[f141])).
% 2.59/0.67 fof(f143,plain,(
% 2.59/0.67 ![X0,X1,X2]: (v3_struct_0(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|v3_struct_0(X0)|~v10_lattices(X0)|~v11_lattices(X0)|~v16_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X2,u1_struct_0(X0))|~X2=k7_lattices(X0,X1)|r2_lattices(X0,X2,X1))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f142])).
% 2.59/0.67 fof(f144,plain,(
% 2.59/0.67 ![X0,X1,X2]: (v3_struct_0(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|v3_struct_0(X0)|~v10_lattices(X0)|~v11_lattices(X0)|~v16_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X2,u1_struct_0(X0))|X2=k7_lattices(X0,X1)|~r2_lattices(X0,X2,X1))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f142])).
% 2.59/0.67 fof(f148,plain,(
% 2.59/0.67 ![A,B]: (((v3_struct_0(A)|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|m1_subset_1(k7_lattices(A,B),u1_struct_0(A)))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 2.59/0.67 fof(f149,plain,(
% 2.59/0.67 ![X0,X1]: (v3_struct_0(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f148])).
% 2.59/0.67 fof(f154,plain,(
% 2.59/0.67 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 2.59/0.67 fof(f155,plain,(
% 2.59/0.67 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f154])).
% 2.59/0.67 fof(f156,plain,(
% 2.59/0.67 ![X0]: (~l3_lattices(X0)|l2_lattices(X0))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f154])).
% 2.59/0.67 fof(f159,plain,(
% 2.59/0.67 ![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))))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 2.59/0.67 fof(f160,plain,(
% 2.59/0.67 ![X0]: (~l1_lattices(X0)|v1_funct_1(u1_lattices(X0)))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f159])).
% 2.59/0.67 fof(f161,plain,(
% 2.59/0.67 ![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)))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f159])).
% 2.59/0.67 fof(f162,plain,(
% 2.59/0.67 ![X0]: (~l1_lattices(X0)|m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f159])).
% 2.59/0.67 fof(f163,plain,(
% 2.59/0.67 ![A]: (~l2_lattices(A)|((v1_funct_1(u2_lattices(A))&v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))&m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 2.59/0.67 fof(f164,plain,(
% 2.59/0.67 ![X0]: (~l2_lattices(X0)|v1_funct_1(u2_lattices(X0)))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f163])).
% 2.59/0.67 fof(f165,plain,(
% 2.59/0.67 ![X0]: (~l2_lattices(X0)|v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f163])).
% 2.59/0.67 fof(f166,plain,(
% 2.59/0.67 ![X0]: (~l2_lattices(X0)|m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f163])).
% 2.59/0.67 fof(f214,plain,(
% 2.59/0.67 ![A,B,C]: ((((((~v1_funct_1(B)|~v1_funct_2(B,k2_zfmisc_1(A,A),A))|~m1_relset_1(B,k2_zfmisc_1(A,A),A))|~v1_funct_1(C))|~v1_funct_2(C,k2_zfmisc_1(A,A),A))|~m1_relset_1(C,k2_zfmisc_1(A,A),A))|(![D,E,F]: (~g3_lattices(A,B,C)=g3_lattices(D,E,F)|((A=D&B=E)&C=F))))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 2.59/0.67 fof(f215,plain,(
% 2.59/0.67 ![X0,X1,X2,X3,X4,X5]: (~v1_funct_1(X0)|~v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)|~m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)|~v1_funct_1(X2)|~v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)|~m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)|~g3_lattices(X1,X0,X2)=g3_lattices(X3,X4,X5)|X1=X3)),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f214])).
% 2.59/0.67 fof(f326,plain,(
% 2.59/0.67 ![A,B,C]: ((~m2_relset_1(C,A,B)|m1_relset_1(C,A,B))&(m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 2.59/0.67 inference(NNF_transformation,[status(esa)],[f64])).
% 2.59/0.67 fof(f327,plain,(
% 2.59/0.67 (![A,B,C]: (~m2_relset_1(C,A,B)|m1_relset_1(C,A,B)))&(![A,B,C]: (m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 2.59/0.67 inference(miniscoping,[status(esa)],[f326])).
% 2.59/0.67 fof(f328,plain,(
% 2.59/0.67 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f327])).
% 2.59/0.67 fof(f332,plain,(
% 2.59/0.67 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v15_lattices(A))|~v16_lattices(A))|~l3_lattices(A))|(![B]: (((((v3_struct_0(B)|~v10_lattices(B))|~v15_lattices(B))|~v16_lattices(B))|~l3_lattices(B))|(~g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))=g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(![D]: (~m1_subset_1(D,u1_struct_0(A))|(![E]: (~m1_subset_1(E,u1_struct_0(B))|(![F]: (~m1_subset_1(F,u1_struct_0(B))|(((~C=E|~D=F)|~r2_lattices(A,C,D))|r2_lattices(B,E,F))))))))))))))),
% 2.59/0.67 inference(pre_NNF_transformation,[status(esa)],[f66])).
% 2.59/0.67 fof(f333,plain,(
% 2.59/0.67 ![X0,X1,X2,X3,X4,X5]: (v3_struct_0(X0)|~v10_lattices(X0)|~v15_lattices(X0)|~v16_lattices(X0)|~l3_lattices(X0)|v3_struct_0(X1)|~v10_lattices(X1)|~v15_lattices(X1)|~v16_lattices(X1)|~l3_lattices(X1)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X5,u1_struct_0(X1))|~X2=X4|~X3=X5|~r2_lattices(X0,X2,X3)|r2_lattices(X1,X4,X5))),
% 2.59/0.67 inference(cnf_transformation,[status(esa)],[f332])).
% 2.59/0.67 fof(f356,plain,(
% 2.59/0.67 ![X0,X1,X2]: (v3_struct_0(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~v10_lattices(X0)|~v11_lattices(X0)|~v16_lattices(X0)|~m1_subset_1(X2,u1_struct_0(X0))|~X2=k7_lattices(X0,X1)|r2_lattices(X0,X2,X1))),
% 2.59/0.67 inference(duplicate_literals_removal,[status(esa)],[f143])).
% 2.59/0.67 fof(f357,plain,(
% 2.59/0.67 ![X0,X1]: (v3_struct_0(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~v10_lattices(X0)|~v11_lattices(X0)|~v16_lattices(X0)|~m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))|r2_lattices(X0,k7_lattices(X0,X1),X1))),
% 2.59/0.67 inference(destructive_equality_resolution,[status(esa)],[f356])).
% 2.59/0.67 fof(f358,plain,(
% 2.59/0.67 ![X0,X1,X2]: (v3_struct_0(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~v10_lattices(X0)|~v11_lattices(X0)|~v16_lattices(X0)|~m1_subset_1(X2,u1_struct_0(X0))|X2=k7_lattices(X0,X1)|~r2_lattices(X0,X2,X1))),
% 2.59/0.67 inference(duplicate_literals_removal,[status(esa)],[f144])).
% 2.59/0.67 fof(f359,plain,(
% 2.59/0.67 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v10_lattices(X0)|~v15_lattices(X0)|~v16_lattices(X0)|~l3_lattices(X0)|v3_struct_0(X1)|~v10_lattices(X1)|~v15_lattices(X1)|~v16_lattices(X1)|~l3_lattices(X1)|~g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~m1_subset_1(X2,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~r2_lattices(X0,X2,X3)|r2_lattices(X1,X2,X3))),
% 2.59/0.67 inference(destructive_equality_resolution,[status(esa)],[f333])).
% 2.59/0.67 fof(f360,plain,(
% 2.59/0.67 m1_subset_1(sk0_2,u1_struct_0(sk0_1))),
% 2.59/0.67 inference(forward_demodulation,[status(thm)],[f88,f87])).
% 2.59/0.67 fof(f361,plain,(
% 2.59/0.67 ~k7_lattices(sk0_0,sk0_2)=k7_lattices(sk0_1,sk0_2)),
% 2.59/0.67 inference(forward_demodulation,[status(thm)],[f88,f89])).
% 2.59/0.67 fof(f362,plain,(
% 2.59/0.67 spl0_0 <=> v3_struct_0(sk0_1)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f363,plain,(
% 2.59/0.67 v3_struct_0(sk0_1)|~spl0_0),
% 2.59/0.67 inference(component_clause,[status(thm)],[f362])).
% 2.59/0.67 fof(f365,plain,(
% 2.59/0.67 spl0_1 <=> v17_lattices(sk0_1)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f367,plain,(
% 2.59/0.67 ~v17_lattices(sk0_1)|spl0_1),
% 2.59/0.67 inference(component_clause,[status(thm)],[f365])).
% 2.59/0.67 fof(f368,plain,(
% 2.59/0.67 spl0_2 <=> v11_lattices(sk0_1)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f371,plain,(
% 2.59/0.67 v3_struct_0(sk0_1)|~v17_lattices(sk0_1)|v11_lattices(sk0_1)),
% 2.59/0.67 inference(resolution,[status(thm)],[f123,f84])).
% 2.59/0.67 fof(f372,plain,(
% 2.59/0.67 spl0_0|~spl0_1|spl0_2),
% 2.59/0.67 inference(split_clause,[status(thm)],[f371,f362,f365,f368])).
% 2.59/0.67 fof(f373,plain,(
% 2.59/0.67 spl0_3 <=> v3_struct_0(sk0_0)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f374,plain,(
% 2.59/0.67 v3_struct_0(sk0_0)|~spl0_3),
% 2.59/0.67 inference(component_clause,[status(thm)],[f373])).
% 2.59/0.67 fof(f376,plain,(
% 2.59/0.67 spl0_4 <=> v17_lattices(sk0_0)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f378,plain,(
% 2.59/0.67 ~v17_lattices(sk0_0)|spl0_4),
% 2.59/0.67 inference(component_clause,[status(thm)],[f376])).
% 2.59/0.67 fof(f379,plain,(
% 2.59/0.67 spl0_5 <=> v11_lattices(sk0_0)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f382,plain,(
% 2.59/0.67 v3_struct_0(sk0_0)|~v17_lattices(sk0_0)|v11_lattices(sk0_0)),
% 2.59/0.67 inference(resolution,[status(thm)],[f123,f80])).
% 2.59/0.67 fof(f383,plain,(
% 2.59/0.67 spl0_3|~spl0_4|spl0_5),
% 2.59/0.67 inference(split_clause,[status(thm)],[f382,f373,f376,f379])).
% 2.59/0.67 fof(f384,plain,(
% 2.59/0.67 $false|spl0_4),
% 2.59/0.67 inference(forward_subsumption_resolution,[status(thm)],[f378,f79])).
% 2.59/0.67 fof(f385,plain,(
% 2.59/0.67 spl0_4),
% 2.59/0.67 inference(contradiction_clause,[status(thm)],[f384])).
% 2.59/0.67 fof(f386,plain,(
% 2.59/0.67 $false|spl0_1),
% 2.59/0.67 inference(forward_subsumption_resolution,[status(thm)],[f367,f83])).
% 2.59/0.67 fof(f387,plain,(
% 2.59/0.67 spl0_1),
% 2.59/0.67 inference(contradiction_clause,[status(thm)],[f386])).
% 2.59/0.67 fof(f388,plain,(
% 2.59/0.67 $false|~spl0_3),
% 2.59/0.67 inference(forward_subsumption_resolution,[status(thm)],[f374,f77])).
% 2.59/0.67 fof(f389,plain,(
% 2.59/0.67 ~spl0_3),
% 2.59/0.67 inference(contradiction_clause,[status(thm)],[f388])).
% 2.59/0.67 fof(f390,plain,(
% 2.59/0.67 $false|~spl0_0),
% 2.59/0.67 inference(forward_subsumption_resolution,[status(thm)],[f363,f81])).
% 2.59/0.67 fof(f391,plain,(
% 2.59/0.67 ~spl0_0),
% 2.59/0.67 inference(contradiction_clause,[status(thm)],[f390])).
% 2.59/0.67 fof(f392,plain,(
% 2.59/0.67 spl0_6 <=> v15_lattices(sk0_1)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f395,plain,(
% 2.59/0.67 v3_struct_0(sk0_1)|~v17_lattices(sk0_1)|v15_lattices(sk0_1)),
% 2.59/0.67 inference(resolution,[status(thm)],[f126,f84])).
% 2.59/0.67 fof(f396,plain,(
% 2.59/0.67 spl0_0|~spl0_1|spl0_6),
% 2.59/0.67 inference(split_clause,[status(thm)],[f395,f362,f365,f392])).
% 2.59/0.67 fof(f397,plain,(
% 2.59/0.67 spl0_7 <=> v15_lattices(sk0_0)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f400,plain,(
% 2.59/0.67 v3_struct_0(sk0_0)|~v17_lattices(sk0_0)|v15_lattices(sk0_0)),
% 2.59/0.67 inference(resolution,[status(thm)],[f126,f80])).
% 2.59/0.67 fof(f401,plain,(
% 2.59/0.67 spl0_3|~spl0_4|spl0_7),
% 2.59/0.67 inference(split_clause,[status(thm)],[f400,f373,f376,f397])).
% 2.59/0.67 fof(f436,plain,(
% 2.59/0.67 spl0_16 <=> l3_lattices(sk0_1)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f438,plain,(
% 2.59/0.67 ~l3_lattices(sk0_1)|spl0_16),
% 2.59/0.67 inference(component_clause,[status(thm)],[f436])).
% 2.59/0.67 fof(f447,plain,(
% 2.59/0.67 $false|spl0_16),
% 2.59/0.67 inference(forward_subsumption_resolution,[status(thm)],[f438,f84])).
% 2.59/0.67 fof(f448,plain,(
% 2.59/0.67 spl0_16),
% 2.59/0.67 inference(contradiction_clause,[status(thm)],[f447])).
% 2.59/0.67 fof(f470,plain,(
% 2.59/0.67 spl0_25 <=> u1_struct_0(sk0_0)=u1_struct_0(sk0_1)),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f471,plain,(
% 2.59/0.67 u1_struct_0(sk0_0)=u1_struct_0(sk0_1)|~spl0_25),
% 2.59/0.67 inference(component_clause,[status(thm)],[f470])).
% 2.59/0.67 fof(f477,plain,(
% 2.59/0.67 spl0_26 <=> v1_funct_1(u2_lattices(sk0_1))),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f479,plain,(
% 2.59/0.67 ~v1_funct_1(u2_lattices(sk0_1))|spl0_26),
% 2.59/0.67 inference(component_clause,[status(thm)],[f477])).
% 2.59/0.67 fof(f480,plain,(
% 2.59/0.67 spl0_27 <=> v1_funct_2(u2_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f482,plain,(
% 2.59/0.67 ~v1_funct_2(u2_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))|spl0_27),
% 2.59/0.67 inference(component_clause,[status(thm)],[f480])).
% 2.59/0.67 fof(f483,plain,(
% 2.59/0.67 spl0_28 <=> m1_relset_1(u2_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f485,plain,(
% 2.59/0.67 ~m1_relset_1(u2_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))|spl0_28),
% 2.59/0.67 inference(component_clause,[status(thm)],[f483])).
% 2.59/0.67 fof(f486,plain,(
% 2.59/0.67 spl0_29 <=> v1_funct_1(u1_lattices(sk0_1))),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f488,plain,(
% 2.59/0.67 ~v1_funct_1(u1_lattices(sk0_1))|spl0_29),
% 2.59/0.67 inference(component_clause,[status(thm)],[f486])).
% 2.59/0.67 fof(f489,plain,(
% 2.59/0.67 spl0_30 <=> v1_funct_2(u1_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f491,plain,(
% 2.59/0.67 ~v1_funct_2(u1_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))|spl0_30),
% 2.59/0.67 inference(component_clause,[status(thm)],[f489])).
% 2.59/0.67 fof(f492,plain,(
% 2.59/0.67 spl0_31 <=> m1_relset_1(u1_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))),
% 2.59/0.67 introduced(split_symbol_definition)).
% 2.59/0.67 fof(f494,plain,(
% 2.59/0.67 ~m1_relset_1(u1_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))|spl0_31),
% 2.59/0.67 inference(component_clause,[status(thm)],[f492])).
% 2.59/0.67 fof(f495,plain,(
% 2.59/0.67 ~v1_funct_1(u2_lattices(sk0_1))|~v1_funct_2(u2_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))|~m1_relset_1(u2_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))|~v1_funct_1(u1_lattices(sk0_1))|~v1_funct_2(u1_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))|~m1_relset_1(u1_lattices(sk0_1),k2_zfmisc_1(u1_struct_0(sk0_1),u1_struct_0(sk0_1)),u1_struct_0(sk0_1))|u1_struct_0(sk0_1)=u1_struct_0(sk0_0)),
% 2.59/0.68 inference(resolution,[status(thm)],[f215,f85])).
% 2.59/0.68 fof(f496,plain,(
% 2.59/0.68 ~spl0_26|~spl0_27|~spl0_28|~spl0_29|~spl0_30|~spl0_31|spl0_25),
% 2.59/0.68 inference(split_clause,[status(thm)],[f495,f477,f480,f483,f486,f489,f492,f470])).
% 2.59/0.68 fof(f825,plain,(
% 2.59/0.68 spl0_85 <=> v10_lattices(sk0_1)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f827,plain,(
% 2.59/0.68 ~v10_lattices(sk0_1)|spl0_85),
% 2.59/0.68 inference(component_clause,[status(thm)],[f825])).
% 2.59/0.68 fof(f833,plain,(
% 2.59/0.68 spl0_87 <=> v10_lattices(sk0_0)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f835,plain,(
% 2.59/0.68 ~v10_lattices(sk0_0)|spl0_87),
% 2.59/0.68 inference(component_clause,[status(thm)],[f833])).
% 2.59/0.68 fof(f841,plain,(
% 2.59/0.68 $false|spl0_87),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f835,f78])).
% 2.59/0.68 fof(f842,plain,(
% 2.59/0.68 spl0_87),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f841])).
% 2.59/0.68 fof(f843,plain,(
% 2.59/0.68 $false|spl0_85),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f827,f82])).
% 2.59/0.68 fof(f844,plain,(
% 2.59/0.68 spl0_85),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f843])).
% 2.59/0.68 fof(f1102,plain,(
% 2.59/0.68 spl0_139 <=> l3_lattices(sk0_0)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f1104,plain,(
% 2.59/0.68 ~l3_lattices(sk0_0)|spl0_139),
% 2.59/0.68 inference(component_clause,[status(thm)],[f1102])).
% 2.59/0.68 fof(f1182,plain,(
% 2.59/0.68 $false|spl0_139),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f1104,f80])).
% 2.59/0.68 fof(f1183,plain,(
% 2.59/0.68 spl0_139),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f1182])).
% 2.59/0.68 fof(f1633,plain,(
% 2.59/0.68 spl0_212 <=> v16_lattices(sk0_1)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f1636,plain,(
% 2.59/0.68 v3_struct_0(sk0_1)|~v17_lattices(sk0_1)|v16_lattices(sk0_1)),
% 2.59/0.68 inference(resolution,[status(thm)],[f127,f84])).
% 2.59/0.68 fof(f1637,plain,(
% 2.59/0.68 spl0_0|~spl0_1|spl0_212),
% 2.59/0.68 inference(split_clause,[status(thm)],[f1636,f362,f365,f1633])).
% 2.59/0.68 fof(f1638,plain,(
% 2.59/0.68 spl0_213 <=> v16_lattices(sk0_0)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f1641,plain,(
% 2.59/0.68 v3_struct_0(sk0_0)|~v17_lattices(sk0_0)|v16_lattices(sk0_0)),
% 2.59/0.68 inference(resolution,[status(thm)],[f127,f80])).
% 2.59/0.68 fof(f1642,plain,(
% 2.59/0.68 spl0_3|~spl0_4|spl0_213),
% 2.59/0.68 inference(split_clause,[status(thm)],[f1641,f373,f376,f1638])).
% 2.59/0.68 fof(f1678,plain,(
% 2.59/0.68 l1_lattices(sk0_1)),
% 2.59/0.68 inference(resolution,[status(thm)],[f155,f84])).
% 2.59/0.68 fof(f1784,plain,(
% 2.59/0.68 l2_lattices(sk0_1)),
% 2.59/0.68 inference(resolution,[status(thm)],[f156,f84])).
% 2.59/0.68 fof(f1797,plain,(
% 2.59/0.68 ![X0,X1]: (v3_struct_0(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~v10_lattices(X0)|~v11_lattices(X0)|~v16_lattices(X0)|r2_lattices(X0,k7_lattices(X0,X1),X1))),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f357,f149])).
% 2.59/0.68 fof(f1833,plain,(
% 2.59/0.68 ~l1_lattices(sk0_1)|spl0_29),
% 2.59/0.68 inference(resolution,[status(thm)],[f160,f488])).
% 2.59/0.68 fof(f1834,plain,(
% 2.59/0.68 $false|spl0_29),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f1833,f1678])).
% 2.59/0.68 fof(f1835,plain,(
% 2.59/0.68 spl0_29),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f1834])).
% 2.59/0.68 fof(f1840,plain,(
% 2.59/0.68 ~l2_lattices(sk0_1)|spl0_26),
% 2.59/0.68 inference(resolution,[status(thm)],[f164,f479])).
% 2.59/0.68 fof(f1841,plain,(
% 2.59/0.68 $false|spl0_26),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f1840,f1784])).
% 2.59/0.68 fof(f1842,plain,(
% 2.59/0.68 spl0_26),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f1841])).
% 2.59/0.68 fof(f1895,plain,(
% 2.59/0.68 ~l1_lattices(sk0_1)|spl0_30),
% 2.59/0.68 inference(resolution,[status(thm)],[f161,f491])).
% 2.59/0.68 fof(f1896,plain,(
% 2.59/0.68 $false|spl0_30),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f1895,f1678])).
% 2.59/0.68 fof(f1897,plain,(
% 2.59/0.68 spl0_30),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f1896])).
% 2.59/0.68 fof(f2082,plain,(
% 2.59/0.68 ![X0]: (~l1_lattices(X0)|m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 2.59/0.68 inference(resolution,[status(thm)],[f162,f328])).
% 2.59/0.68 fof(f2083,plain,(
% 2.59/0.68 ~l2_lattices(sk0_1)|spl0_27),
% 2.59/0.68 inference(resolution,[status(thm)],[f165,f482])).
% 2.59/0.68 fof(f2084,plain,(
% 2.59/0.68 $false|spl0_27),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2083,f1784])).
% 2.59/0.68 fof(f2085,plain,(
% 2.59/0.68 spl0_27),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f2084])).
% 2.59/0.68 fof(f2102,plain,(
% 2.59/0.68 ![X0]: (~l2_lattices(X0)|m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 2.59/0.68 inference(resolution,[status(thm)],[f166,f328])).
% 2.59/0.68 fof(f2479,plain,(
% 2.59/0.68 spl0_270 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(X1,u1_struct_0(sk0_0))|~m1_subset_1(X0,u1_struct_0(sk0_1))|~m1_subset_1(X1,u1_struct_0(sk0_1))|~r2_lattices(sk0_0,X0,X1)|r2_lattices(sk0_1,X0,X1)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f2480,plain,(
% 2.59/0.68 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(X1,u1_struct_0(sk0_0))|~m1_subset_1(X0,u1_struct_0(sk0_1))|~m1_subset_1(X1,u1_struct_0(sk0_1))|~r2_lattices(sk0_0,X0,X1)|r2_lattices(sk0_1,X0,X1)|~spl0_270)),
% 2.59/0.68 inference(component_clause,[status(thm)],[f2479])).
% 2.59/0.68 fof(f2482,plain,(
% 2.59/0.68 ![X0,X1]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v15_lattices(sk0_0)|~v16_lattices(sk0_0)|~l3_lattices(sk0_0)|v3_struct_0(sk0_1)|~v10_lattices(sk0_1)|~v15_lattices(sk0_1)|~v16_lattices(sk0_1)|~l3_lattices(sk0_1)|~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(X1,u1_struct_0(sk0_0))|~m1_subset_1(X0,u1_struct_0(sk0_1))|~m1_subset_1(X1,u1_struct_0(sk0_1))|~r2_lattices(sk0_0,X0,X1)|r2_lattices(sk0_1,X0,X1))),
% 2.59/0.68 inference(resolution,[status(thm)],[f359,f85])).
% 2.59/0.68 fof(f2483,plain,(
% 2.59/0.68 spl0_3|~spl0_87|~spl0_7|~spl0_213|~spl0_139|spl0_0|~spl0_85|~spl0_6|~spl0_212|~spl0_16|spl0_270),
% 2.59/0.68 inference(split_clause,[status(thm)],[f2482,f373,f833,f397,f1638,f1102,f362,f825,f392,f1633,f436,f2479])).
% 2.59/0.68 fof(f2571,plain,(
% 2.59/0.68 spl0_283 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(X0,u1_struct_0(sk0_1))|~r2_lattices(sk0_0,X0,sk0_2)|r2_lattices(sk0_1,X0,sk0_2)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f2572,plain,(
% 2.59/0.68 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(X0,u1_struct_0(sk0_1))|~r2_lattices(sk0_0,X0,sk0_2)|r2_lattices(sk0_1,X0,sk0_2)|~spl0_283)),
% 2.59/0.68 inference(component_clause,[status(thm)],[f2571])).
% 2.59/0.68 fof(f2574,plain,(
% 2.59/0.68 spl0_284 <=> m1_subset_1(sk0_2,u1_struct_0(sk0_1))),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f2576,plain,(
% 2.59/0.68 ~m1_subset_1(sk0_2,u1_struct_0(sk0_1))|spl0_284),
% 2.59/0.68 inference(component_clause,[status(thm)],[f2574])).
% 2.59/0.68 fof(f2577,plain,(
% 2.59/0.68 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(X0,u1_struct_0(sk0_1))|~m1_subset_1(sk0_2,u1_struct_0(sk0_1))|~r2_lattices(sk0_0,X0,sk0_2)|r2_lattices(sk0_1,X0,sk0_2)|~spl0_270)),
% 2.59/0.68 inference(resolution,[status(thm)],[f2480,f86])).
% 2.59/0.68 fof(f2578,plain,(
% 2.59/0.68 spl0_283|~spl0_284|~spl0_270),
% 2.59/0.68 inference(split_clause,[status(thm)],[f2577,f2571,f2574,f2479])).
% 2.59/0.68 fof(f2653,plain,(
% 2.59/0.68 spl0_303 <=> m1_subset_1(sk0_2,u1_struct_0(sk0_0))),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f2655,plain,(
% 2.59/0.68 ~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|spl0_303),
% 2.59/0.68 inference(component_clause,[status(thm)],[f2653])).
% 2.59/0.68 fof(f2703,plain,(
% 2.59/0.68 $false|spl0_284),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2576,f360])).
% 2.59/0.68 fof(f2704,plain,(
% 2.59/0.68 spl0_284),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f2703])).
% 2.59/0.68 fof(f2705,plain,(
% 2.59/0.68 $false|spl0_303),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2655,f86])).
% 2.59/0.68 fof(f2706,plain,(
% 2.59/0.68 spl0_303),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f2705])).
% 2.59/0.68 fof(f2836,plain,(
% 2.59/0.68 spl0_337 <=> m1_subset_1(k7_lattices(sk0_0,sk0_2),u1_struct_0(sk0_0))),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f2838,plain,(
% 2.59/0.68 ~m1_subset_1(k7_lattices(sk0_0,sk0_2),u1_struct_0(sk0_0))|spl0_337),
% 2.59/0.68 inference(component_clause,[status(thm)],[f2836])).
% 2.59/0.68 fof(f2839,plain,(
% 2.59/0.68 spl0_338 <=> m1_subset_1(k7_lattices(sk0_0,sk0_2),u1_struct_0(sk0_1))),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f2841,plain,(
% 2.59/0.68 ~m1_subset_1(k7_lattices(sk0_0,sk0_2),u1_struct_0(sk0_1))|spl0_338),
% 2.59/0.68 inference(component_clause,[status(thm)],[f2839])).
% 2.59/0.68 fof(f2842,plain,(
% 2.59/0.68 spl0_339 <=> r2_lattices(sk0_1,k7_lattices(sk0_0,sk0_2),sk0_2)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f2843,plain,(
% 2.59/0.68 r2_lattices(sk0_1,k7_lattices(sk0_0,sk0_2),sk0_2)|~spl0_339),
% 2.59/0.68 inference(component_clause,[status(thm)],[f2842])).
% 2.59/0.68 fof(f2845,plain,(
% 2.59/0.68 ~m1_subset_1(k7_lattices(sk0_0,sk0_2),u1_struct_0(sk0_0))|~m1_subset_1(k7_lattices(sk0_0,sk0_2),u1_struct_0(sk0_1))|r2_lattices(sk0_1,k7_lattices(sk0_0,sk0_2),sk0_2)|v3_struct_0(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|~v10_lattices(sk0_0)|~v11_lattices(sk0_0)|~v16_lattices(sk0_0)|~spl0_283),
% 2.59/0.68 inference(resolution,[status(thm)],[f2572,f1797])).
% 2.59/0.68 fof(f2846,plain,(
% 2.59/0.68 ~spl0_337|~spl0_338|spl0_339|spl0_3|~spl0_139|~spl0_303|~spl0_87|~spl0_5|~spl0_213|~spl0_283),
% 2.59/0.68 inference(split_clause,[status(thm)],[f2845,f2836,f2839,f2842,f373,f1102,f2653,f833,f379,f1638,f2571])).
% 2.59/0.68 fof(f2847,plain,(
% 2.59/0.68 v3_struct_0(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|spl0_337),
% 2.59/0.68 inference(resolution,[status(thm)],[f2838,f149])).
% 2.59/0.68 fof(f2848,plain,(
% 2.59/0.68 spl0_3|~spl0_139|~spl0_303|spl0_337),
% 2.59/0.68 inference(split_clause,[status(thm)],[f2847,f373,f1102,f2653,f2836])).
% 2.59/0.68 fof(f3108,plain,(
% 2.59/0.68 ~l1_lattices(sk0_1)|spl0_31),
% 2.59/0.68 inference(resolution,[status(thm)],[f2082,f494])).
% 2.59/0.68 fof(f3109,plain,(
% 2.59/0.68 $false|spl0_31),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f3108,f1678])).
% 2.59/0.68 fof(f3110,plain,(
% 2.59/0.68 spl0_31),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f3109])).
% 2.59/0.68 fof(f3193,plain,(
% 2.59/0.68 ~l2_lattices(sk0_1)|spl0_28),
% 2.59/0.68 inference(resolution,[status(thm)],[f2102,f485])).
% 2.59/0.68 fof(f3194,plain,(
% 2.59/0.68 $false|spl0_28),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f3193,f1784])).
% 2.59/0.68 fof(f3195,plain,(
% 2.59/0.68 spl0_28),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f3194])).
% 2.59/0.68 fof(f3292,plain,(
% 2.59/0.68 ~m1_subset_1(k7_lattices(sk0_0,sk0_2),u1_struct_0(sk0_0))|~spl0_25|spl0_338),
% 2.59/0.68 inference(backward_demodulation,[status(thm)],[f471,f2841])).
% 2.59/0.68 fof(f3293,plain,(
% 2.59/0.68 ~spl0_337|~spl0_25|spl0_338),
% 2.59/0.68 inference(split_clause,[status(thm)],[f3292,f2836,f470,f2839])).
% 2.59/0.68 fof(f4447,plain,(
% 2.59/0.68 spl0_504 <=> k7_lattices(sk0_0,sk0_2)=k7_lattices(sk0_1,sk0_2)),
% 2.59/0.68 introduced(split_symbol_definition)).
% 2.59/0.68 fof(f4448,plain,(
% 2.59/0.68 k7_lattices(sk0_0,sk0_2)=k7_lattices(sk0_1,sk0_2)|~spl0_504),
% 2.59/0.68 inference(component_clause,[status(thm)],[f4447])).
% 2.59/0.68 fof(f4450,plain,(
% 2.59/0.68 v3_struct_0(sk0_1)|~l3_lattices(sk0_1)|~m1_subset_1(sk0_2,u1_struct_0(sk0_1))|~v10_lattices(sk0_1)|~v11_lattices(sk0_1)|~v16_lattices(sk0_1)|~m1_subset_1(k7_lattices(sk0_0,sk0_2),u1_struct_0(sk0_1))|k7_lattices(sk0_0,sk0_2)=k7_lattices(sk0_1,sk0_2)|~spl0_339),
% 2.59/0.68 inference(resolution,[status(thm)],[f2843,f358])).
% 2.59/0.68 fof(f4451,plain,(
% 2.59/0.68 spl0_0|~spl0_16|~spl0_284|~spl0_85|~spl0_2|~spl0_212|~spl0_338|spl0_504|~spl0_339),
% 2.59/0.68 inference(split_clause,[status(thm)],[f4450,f362,f436,f2574,f825,f368,f1633,f2839,f4447,f2842])).
% 2.59/0.68 fof(f4452,plain,(
% 2.59/0.68 $false|~spl0_504),
% 2.59/0.68 inference(forward_subsumption_resolution,[status(thm)],[f4448,f361])).
% 2.59/0.68 fof(f4453,plain,(
% 2.59/0.68 ~spl0_504),
% 2.59/0.68 inference(contradiction_clause,[status(thm)],[f4452])).
% 2.59/0.68 fof(f4454,plain,(
% 2.59/0.68 $false),
% 2.59/0.68 inference(sat_refutation,[status(thm)],[f372,f383,f385,f387,f389,f391,f396,f401,f448,f496,f842,f844,f1183,f1637,f1642,f1835,f1842,f1897,f2085,f2483,f2578,f2704,f2706,f2846,f2848,f3110,f3195,f3293,f4451,f4453])).
% 2.59/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 2.59/0.69 % Elapsed time: 0.371905 seconds
% 2.59/0.69 % CPU time: 2.790475 seconds
% 2.59/0.69 % Total memory used: 115.510 MB
% 2.59/0.69 % Net memory used: 114.236 MB
%------------------------------------------------------------------------------