%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:03:33 PM UTC 2026
% Result : Theorem 3.30s 0.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:29:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 3.30/0.87 % Refutation found
% 3.30/0.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.30/0.87 % SZS output start CNFRefutation for theBenchmark
% 3.30/0.87 fof(f1,conjecture,(
% 3.30/0.87 (! [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) ) ) )) )) ) )) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f2,negated_conjecture,(
% 3.30/0.87 ~((! [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) ) ) )) )) ) )) ))),
% 3.30/0.87 inference(negated_conjecture,[status(cth)],[f1])).
% 3.30/0.87 fof(f12,axiom,(
% 3.30/0.87 (! [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) ) ) ) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f15,axiom,(
% 3.30/0.87 (! [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) ) ) )) ) )) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f20,axiom,(
% 3.30/0.87 (! [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)) ) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f24,axiom,(
% 3.30/0.87 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f28,axiom,(
% 3.30/0.87 (! [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)) ) ) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f30,axiom,(
% 3.30/0.87 (! [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)) ) ) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f47,axiom,(
% 3.30/0.87 (! [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 ) ) )) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f64,axiom,(
% 3.30/0.87 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f66,axiom,(
% 3.30/0.87 (! [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) ) ) )) )) )) )) ) )) )),
% 3.30/0.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/0.87 fof(f75,plain,(
% 3.30/0.87 (?[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)))))))))))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 3.30/0.87 fof(f76,plain,(
% 3.30/0.87 ((((~v3_struct_0(sK0_skl)&v10_lattices(sK0_skl))&v17_lattices(sK0_skl))&l3_lattices(sK0_skl))&((((~v3_struct_0(sK1_skl)&v10_lattices(sK1_skl))&v17_lattices(sK1_skl))&l3_lattices(sK1_skl))&(g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))=g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK1_skl))&(m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))&(m1_subset_1(sK3_skl,u1_struct_0(sK1_skl))&(sK2_skl=sK3_skl&~k7_lattices(sK0_skl,sK2_skl)=k7_lattices(sK1_skl,sK3_skl)))))))),
% 3.30/0.87 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f75])).
% 3.30/0.87 fof(f77,plain,(
% 3.30/0.87 ~v3_struct_0(sK0_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f78,plain,(
% 3.30/0.87 v10_lattices(sK0_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f79,plain,(
% 3.30/0.87 v17_lattices(sK0_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f80,plain,(
% 3.30/0.87 l3_lattices(sK0_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f81,plain,(
% 3.30/0.87 ~v3_struct_0(sK1_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f82,plain,(
% 3.30/0.87 v10_lattices(sK1_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f83,plain,(
% 3.30/0.87 v17_lattices(sK1_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f84,plain,(
% 3.30/0.87 l3_lattices(sK1_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f85,plain,(
% 3.30/0.87 g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))=g3_lattices(u1_struct_0(sK1_skl),u2_lattices(sK1_skl),u1_lattices(sK1_skl))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f86,plain,(
% 3.30/0.87 m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f88,plain,(
% 3.30/0.87 sK2_skl=sK3_skl),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f89,plain,(
% 3.30/0.87 ~k7_lattices(sK0_skl,sK2_skl)=k7_lattices(sK1_skl,sK3_skl)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f76])).
% 3.30/0.87 fof(f121,plain,(
% 3.30/0.87 ![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))))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 3.30/0.87 fof(f123,plain,(
% 3.30/0.87 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v17_lattices(X0)|v11_lattices(X0))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f121])).
% 3.30/0.87 fof(f126,plain,(
% 3.30/0.87 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v17_lattices(X0)|v15_lattices(X0))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f121])).
% 3.30/0.87 fof(f127,plain,(
% 3.30/0.87 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v17_lattices(X0)|v16_lattices(X0))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f121])).
% 3.30/0.87 fof(f141,plain,(
% 3.30/0.87 ![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))))))))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 3.30/0.87 fof(f142,plain,(
% 3.30/0.87 ![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)))))))))),
% 3.30/0.87 inference(NNF_transformation,[status(thm)],[f141])).
% 3.30/0.87 fof(f143,plain,(
% 3.30/0.87 ![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))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f142])).
% 3.30/0.87 fof(f144,plain,(
% 3.30/0.87 ![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))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f142])).
% 3.30/0.87 fof(f148,plain,(
% 3.30/0.87 ![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)))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 3.30/0.87 fof(f149,plain,(
% 3.30/0.87 ![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)))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f148])).
% 3.30/0.87 fof(f154,plain,(
% 3.30/0.87 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 3.30/0.87 fof(f155,plain,(
% 3.30/0.87 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f154])).
% 3.30/0.87 fof(f156,plain,(
% 3.30/0.87 ![X0]: (~l3_lattices(X0)|l2_lattices(X0))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f154])).
% 3.30/0.87 fof(f159,plain,(
% 3.30/0.87 ![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))))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 3.30/0.87 fof(f160,plain,(
% 3.30/0.87 ![X0]: (~l1_lattices(X0)|v1_funct_1(u1_lattices(X0)))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f159])).
% 3.30/0.87 fof(f161,plain,(
% 3.30/0.87 ![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)))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f159])).
% 3.30/0.87 fof(f162,plain,(
% 3.30/0.87 ![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)))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f159])).
% 3.30/0.87 fof(f163,plain,(
% 3.30/0.87 ![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))))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 3.30/0.87 fof(f164,plain,(
% 3.30/0.87 ![X0]: (~l2_lattices(X0)|v1_funct_1(u2_lattices(X0)))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f163])).
% 3.30/0.87 fof(f165,plain,(
% 3.30/0.87 ![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)))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f163])).
% 3.30/0.87 fof(f166,plain,(
% 3.30/0.87 ![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)))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f163])).
% 3.30/0.87 fof(f214,plain,(
% 3.30/0.87 ![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))))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 3.30/0.87 fof(f215,plain,(
% 3.30/0.87 ![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)),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f214])).
% 3.30/0.87 fof(f326,plain,(
% 3.30/0.87 ![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)))),
% 3.30/0.87 inference(NNF_transformation,[status(thm)],[f64])).
% 3.30/0.87 fof(f327,plain,(
% 3.30/0.87 (![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)))),
% 3.30/0.87 inference(miniscoping,[status(thm)],[f326])).
% 3.30/0.87 fof(f328,plain,(
% 3.30/0.87 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f327])).
% 3.30/0.87 fof(f332,plain,(
% 3.30/0.87 ![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))))))))))))))),
% 3.30/0.87 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 3.30/0.87 fof(f333,plain,(
% 3.30/0.87 ![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))),
% 3.30/0.87 inference(cnf_transformation,[status(thm)],[f332])).
% 3.30/0.87 fof(f356,plain,(
% 3.30/0.87 ![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))),
% 3.30/0.87 inference(duplicate_literals_removal,[status(thm)],[f143])).
% 3.30/0.87 fof(f357,plain,(
% 3.30/0.87 ![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))),
% 3.30/0.87 inference(destructive_equality_resolution,[status(thm)],[f356])).
% 3.30/0.87 fof(f358,plain,(
% 3.30/0.87 ![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))),
% 3.30/0.87 inference(duplicate_literals_removal,[status(thm)],[f144])).
% 3.30/0.87 fof(f359,plain,(
% 3.30/0.87 ![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))),
% 3.30/0.87 inference(destructive_equality_resolution,[status(thm)],[f333])).
% 3.30/0.87 fof(f361,plain,(
% 3.30/0.87 v3_struct_0(sK1_skl)|~v17_lattices(sK1_skl)|v11_lattices(sK1_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f123,f84])).
% 3.30/0.87 fof(f362,plain,(
% 3.30/0.87 v3_struct_0(sK0_skl)|~v17_lattices(sK0_skl)|v11_lattices(sK0_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f123,f80])).
% 3.30/0.87 fof(f363,definition,(
% 3.30/0.87 sQ0_spl <=> (v3_struct_0(sK1_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f364,plain,(
% 3.30/0.87 v3_struct_0(sK1_skl)|~sQ0_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f363])).
% 3.30/0.87 fof(f366,definition,(
% 3.30/0.87 sQ1_spl <=> (v17_lattices(sK1_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f368,plain,(
% 3.30/0.87 ~v17_lattices(sK1_skl)|sQ1_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f366])).
% 3.30/0.87 fof(f369,definition,(
% 3.30/0.87 sQ2_spl <=> (v11_lattices(sK1_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f372,plain,(
% 3.30/0.87 sQ0_spl|~sQ1_spl|sQ2_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f361,f363,f366,f369])).
% 3.30/0.87 fof(f373,definition,(
% 3.30/0.87 sQ3_spl <=> (v3_struct_0(sK0_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f374,plain,(
% 3.30/0.87 v3_struct_0(sK0_skl)|~sQ3_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f373])).
% 3.30/0.87 fof(f376,definition,(
% 3.30/0.87 sQ4_spl <=> (v17_lattices(sK0_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f378,plain,(
% 3.30/0.87 ~v17_lattices(sK0_skl)|sQ4_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f376])).
% 3.30/0.87 fof(f379,definition,(
% 3.30/0.87 sQ5_spl <=> (v11_lattices(sK0_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f382,plain,(
% 3.30/0.87 sQ3_spl|~sQ4_spl|sQ5_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f362,f373,f376,f379])).
% 3.30/0.87 fof(f383,plain,(
% 3.30/0.87 $false|sQ4_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f378,f79])).
% 3.30/0.87 fof(f384,plain,(
% 3.30/0.87 sQ4_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f383])).
% 3.30/0.87 fof(f385,plain,(
% 3.30/0.87 $false|~sQ3_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f374,f77])).
% 3.30/0.87 fof(f386,plain,(
% 3.30/0.87 ~sQ3_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f385])).
% 3.30/0.87 fof(f387,plain,(
% 3.30/0.87 ~k7_lattices(sK0_skl,sK2_skl)=k7_lattices(sK1_skl,sK2_skl)),
% 3.30/0.87 inference(forward_demodulation,[status(thm)],[f88,f89])).
% 3.30/0.87 fof(f388,plain,(
% 3.30/0.87 v3_struct_0(sK1_skl)|~v17_lattices(sK1_skl)|v15_lattices(sK1_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f126,f84])).
% 3.30/0.87 fof(f389,plain,(
% 3.30/0.87 v3_struct_0(sK0_skl)|~v17_lattices(sK0_skl)|v15_lattices(sK0_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f126,f80])).
% 3.30/0.87 fof(f390,definition,(
% 3.30/0.87 sQ6_spl <=> (v15_lattices(sK1_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f393,plain,(
% 3.30/0.87 sQ0_spl|~sQ1_spl|sQ6_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f388,f363,f366,f390])).
% 3.30/0.87 fof(f394,definition,(
% 3.30/0.87 sQ7_spl <=> (v15_lattices(sK0_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f397,plain,(
% 3.30/0.87 sQ3_spl|~sQ4_spl|sQ7_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f389,f373,f376,f394])).
% 3.30/0.87 fof(f398,plain,(
% 3.30/0.87 $false|sQ1_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f368,f83])).
% 3.30/0.87 fof(f399,plain,(
% 3.30/0.87 sQ1_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f398])).
% 3.30/0.87 fof(f400,plain,(
% 3.30/0.87 $false|~sQ0_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f364,f81])).
% 3.30/0.87 fof(f401,plain,(
% 3.30/0.87 ~sQ0_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f400])).
% 3.30/0.87 fof(f404,definition,(
% 3.30/0.87 sQ8_spl <=> (v10_lattices(sK1_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f406,plain,(
% 3.30/0.87 ~v10_lattices(sK1_skl)|sQ8_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f404])).
% 3.30/0.87 fof(f411,definition,(
% 3.30/0.87 sQ10_spl <=> (v10_lattices(sK0_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f413,plain,(
% 3.30/0.87 ~v10_lattices(sK0_skl)|sQ10_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f411])).
% 3.30/0.87 fof(f418,plain,(
% 3.30/0.87 $false|sQ10_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f413,f78])).
% 3.30/0.87 fof(f419,plain,(
% 3.30/0.87 sQ10_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f418])).
% 3.30/0.87 fof(f420,plain,(
% 3.30/0.87 $false|sQ8_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f406,f82])).
% 3.30/0.87 fof(f421,plain,(
% 3.30/0.87 sQ8_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f420])).
% 3.30/0.87 fof(f485,definition,(
% 3.30/0.87 sQ24_spl <=> (l3_lattices(sK0_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f487,plain,(
% 3.30/0.87 ~l3_lattices(sK0_skl)|sQ24_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f485])).
% 3.30/0.87 fof(f493,plain,(
% 3.30/0.87 $false|sQ24_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f487,f80])).
% 3.30/0.87 fof(f494,plain,(
% 3.30/0.87 sQ24_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f493])).
% 3.30/0.87 fof(f497,definition,(
% 3.30/0.87 sQ26_spl <=> (l3_lattices(sK1_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f499,plain,(
% 3.30/0.87 ~l3_lattices(sK1_skl)|sQ26_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f497])).
% 3.30/0.87 fof(f505,plain,(
% 3.30/0.87 $false|sQ26_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f499,f84])).
% 3.30/0.87 fof(f506,plain,(
% 3.30/0.87 sQ26_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f505])).
% 3.30/0.87 fof(f508,plain,(
% 3.30/0.87 v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl)|m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f149,f86])).
% 3.30/0.87 fof(f513,definition,(
% 3.30/0.87 sQ29_spl <=> (m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f516,plain,(
% 3.30/0.87 sQ3_spl|~sQ24_spl|sQ29_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f508,f373,f485,f513])).
% 3.30/0.87 fof(f518,plain,(
% 3.30/0.87 ~v1_funct_1(u2_lattices(sK1_skl))|~v1_funct_2(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))|~m1_relset_1(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))|~v1_funct_1(u1_lattices(sK1_skl))|~v1_funct_2(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))|~m1_relset_1(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))|u1_struct_0(sK1_skl)=u1_struct_0(sK0_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f215,f85])).
% 3.30/0.87 fof(f540,definition,(
% 3.30/0.87 sQ36_spl <=> (u1_struct_0(sK0_skl)=u1_struct_0(sK1_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f541,plain,(
% 3.30/0.87 u1_struct_0(sK0_skl)=u1_struct_0(sK1_skl)|~sQ36_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f540])).
% 3.30/0.87 fof(f544,definition,(
% 3.30/0.87 sQ37_spl <=> (v1_funct_1(u2_lattices(sK1_skl)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f546,plain,(
% 3.30/0.87 ~v1_funct_1(u2_lattices(sK1_skl))|sQ37_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f544])).
% 3.30/0.87 fof(f547,definition,(
% 3.30/0.87 sQ38_spl <=> (v1_funct_2(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f549,plain,(
% 3.30/0.87 ~v1_funct_2(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))|sQ38_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f547])).
% 3.30/0.87 fof(f550,definition,(
% 3.30/0.87 sQ39_spl <=> (m1_relset_1(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f552,plain,(
% 3.30/0.87 ~m1_relset_1(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))|sQ39_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f550])).
% 3.30/0.87 fof(f553,definition,(
% 3.30/0.87 sQ40_spl <=> (v1_funct_1(u1_lattices(sK1_skl)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f555,plain,(
% 3.30/0.87 ~v1_funct_1(u1_lattices(sK1_skl))|sQ40_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f553])).
% 3.30/0.87 fof(f556,definition,(
% 3.30/0.87 sQ41_spl <=> (v1_funct_2(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f558,plain,(
% 3.30/0.87 ~v1_funct_2(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))|sQ41_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f556])).
% 3.30/0.87 fof(f559,definition,(
% 3.30/0.87 sQ42_spl <=> (m1_relset_1(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f561,plain,(
% 3.30/0.87 ~m1_relset_1(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))|sQ42_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f559])).
% 3.30/0.87 fof(f562,plain,(
% 3.30/0.87 ~sQ37_spl|~sQ38_spl|~sQ39_spl|~sQ40_spl|~sQ41_spl|~sQ42_spl|sQ36_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f518,f544,f547,f550,f553,f556,f559,f540])).
% 3.30/0.87 fof(f608,plain,(
% 3.30/0.87 v3_struct_0(sK1_skl)|~v17_lattices(sK1_skl)|v16_lattices(sK1_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f127,f84])).
% 3.30/0.87 fof(f609,plain,(
% 3.30/0.87 v3_struct_0(sK0_skl)|~v17_lattices(sK0_skl)|v16_lattices(sK0_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f127,f80])).
% 3.30/0.87 fof(f610,definition,(
% 3.30/0.87 sQ49_spl <=> (v16_lattices(sK1_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f613,plain,(
% 3.30/0.87 sQ0_spl|~sQ1_spl|sQ49_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f608,f363,f366,f610])).
% 3.30/0.87 fof(f614,definition,(
% 3.30/0.87 sQ50_spl <=> (v16_lattices(sK0_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f617,plain,(
% 3.30/0.87 sQ3_spl|~sQ4_spl|sQ50_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f609,f373,f376,f614])).
% 3.30/0.87 fof(f636,plain,(
% 3.30/0.87 ![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))),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f357,f149])).
% 3.30/0.87 fof(f639,plain,(
% 3.30/0.87 v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl)|~v10_lattices(sK0_skl)|~v11_lattices(sK0_skl)|~v16_lattices(sK0_skl)|r2_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl),sK2_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f636,f86])).
% 3.30/0.87 fof(f648,definition,(
% 3.30/0.87 sQ55_spl <=> (r2_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl),sK2_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f649,plain,(
% 3.30/0.87 r2_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl),sK2_skl)|~sQ55_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f648])).
% 3.30/0.87 fof(f651,plain,(
% 3.30/0.87 sQ3_spl|~sQ24_spl|~sQ10_spl|~sQ5_spl|~sQ50_spl|sQ55_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f639,f373,f485,f411,f379,f614,f648])).
% 3.30/0.87 fof(f715,definition,(
% 3.30/0.87 sQ66_spl <=> (m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f717,plain,(
% 3.30/0.87 ~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|sQ66_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f715])).
% 3.30/0.87 fof(f722,plain,(
% 3.30/0.87 $false|sQ66_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f717,f86])).
% 3.30/0.87 fof(f723,plain,(
% 3.30/0.87 sQ66_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f722])).
% 3.30/0.87 fof(f809,plain,(
% 3.30/0.87 l1_lattices(sK1_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f155,f84])).
% 3.30/0.87 fof(f812,plain,(
% 3.30/0.87 l2_lattices(sK1_skl)),
% 3.30/0.87 inference(resolution,[status(thm)],[f156,f84])).
% 3.30/0.87 fof(f1030,plain,(
% 3.30/0.87 m2_relset_1(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f809,f162])).
% 3.30/0.87 fof(f1031,plain,(
% 3.30/0.87 v1_funct_2(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f809,f161])).
% 3.30/0.87 fof(f1032,plain,(
% 3.30/0.87 v1_funct_1(u1_lattices(sK1_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f809,f160])).
% 3.30/0.87 fof(f1039,plain,(
% 3.30/0.87 $false|sQ41_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1031,f558])).
% 3.30/0.87 fof(f1040,plain,(
% 3.30/0.87 sQ41_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f1039])).
% 3.30/0.87 fof(f1041,plain,(
% 3.30/0.87 $false|sQ40_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1032,f555])).
% 3.30/0.87 fof(f1042,plain,(
% 3.30/0.87 sQ40_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f1041])).
% 3.30/0.87 fof(f1354,plain,(
% 3.30/0.87 m2_relset_1(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f812,f166])).
% 3.30/0.87 fof(f1355,plain,(
% 3.30/0.87 v1_funct_2(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f812,f165])).
% 3.30/0.87 fof(f1356,plain,(
% 3.30/0.87 v1_funct_1(u2_lattices(sK1_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f812,f164])).
% 3.30/0.87 fof(f1362,plain,(
% 3.30/0.87 $false|sQ38_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1355,f549])).
% 3.30/0.87 fof(f1363,plain,(
% 3.30/0.87 sQ38_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f1362])).
% 3.30/0.87 fof(f1364,plain,(
% 3.30/0.87 $false|sQ37_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1356,f546])).
% 3.30/0.87 fof(f1365,plain,(
% 3.30/0.87 sQ37_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f1364])).
% 3.30/0.87 fof(f1661,plain,(
% 3.30/0.87 m1_relset_1(u2_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f328,f1354])).
% 3.30/0.87 fof(f1663,plain,(
% 3.30/0.87 m1_relset_1(u1_lattices(sK1_skl),k2_zfmisc_1(u1_struct_0(sK1_skl),u1_struct_0(sK1_skl)),u1_struct_0(sK1_skl))),
% 3.30/0.87 inference(resolution,[status(thm)],[f328,f1030])).
% 3.30/0.87 fof(f1665,plain,(
% 3.30/0.87 $false|sQ39_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1661,f552])).
% 3.30/0.87 fof(f1666,plain,(
% 3.30/0.87 sQ39_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f1665])).
% 3.30/0.87 fof(f1669,plain,(
% 3.30/0.87 $false|sQ42_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f1663,f561])).
% 3.30/0.87 fof(f1670,plain,(
% 3.30/0.87 sQ42_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f1669])).
% 3.30/0.87 fof(f1672,plain,(
% 3.30/0.87 ![X0,X1]: (v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~v15_lattices(sK0_skl)|~v16_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v3_struct_0(sK1_skl)|~v10_lattices(sK1_skl)|~v15_lattices(sK1_skl)|~v16_lattices(sK1_skl)|~l3_lattices(sK1_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(sK1_skl))|~m1_subset_1(X1,u1_struct_0(sK1_skl))|~r2_lattices(sK0_skl,X0,X1)|r2_lattices(sK1_skl,X0,X1))),
% 3.30/0.87 inference(resolution,[status(thm)],[f359,f85])).
% 3.30/0.87 fof(f1677,definition,(
% 3.30/0.87 ![X0,X1]: (sQ236_spl <=> (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(sK1_skl))|~m1_subset_1(X1,u1_struct_0(sK1_skl))|~r2_lattices(sK0_skl,X0,X1)|r2_lattices(sK1_skl,X0,X1)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f1678,plain,(
% 3.30/0.87 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(sK1_skl))|~m1_subset_1(X1,u1_struct_0(sK1_skl))|~r2_lattices(sK0_skl,X0,X1)|r2_lattices(sK1_skl,X0,X1)|~sQ236_spl)),
% 3.30/0.87 inference(component_clause,[status(thm)],[f1677])).
% 3.30/0.87 fof(f1680,plain,(
% 3.30/0.87 sQ3_spl|~sQ10_spl|~sQ7_spl|~sQ50_spl|~sQ24_spl|sQ0_spl|~sQ8_spl|~sQ6_spl|~sQ49_spl|~sQ26_spl|sQ236_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f1672,f373,f411,f394,f614,f485,f363,f404,f390,f610,f497,f1677])).
% 3.30/0.87 fof(f2004,plain,(
% 3.30/0.87 ![X0,X1]: (v3_struct_0(sK1_skl)|~l3_lattices(sK1_skl)|~m1_subset_1(X0,u1_struct_0(sK1_skl))|~v10_lattices(sK1_skl)|~v11_lattices(sK1_skl)|~v16_lattices(sK1_skl)|~m1_subset_1(X1,u1_struct_0(sK0_skl))|X1=k7_lattices(sK1_skl,X0)|~r2_lattices(sK1_skl,X1,X0)|~sQ36_spl)),
% 3.30/0.87 inference(paramodulation,[status(thm)],[f541,f358])).
% 3.30/0.87 fof(f2034,definition,(
% 3.30/0.87 ![X0,X1]: (sQ291_spl <=> (~m1_subset_1(X0,u1_struct_0(sK1_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|X1=k7_lattices(sK1_skl,X0)|~r2_lattices(sK1_skl,X1,X0)))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f2035,plain,(
% 3.30/0.87 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sK1_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|X1=k7_lattices(sK1_skl,X0)|~r2_lattices(sK1_skl,X1,X0)|~sQ291_spl)),
% 3.30/0.87 inference(component_clause,[status(thm)],[f2034])).
% 3.30/0.87 fof(f2037,plain,(
% 3.30/0.87 sQ0_spl|~sQ26_spl|sQ291_spl|~sQ8_spl|~sQ2_spl|~sQ49_spl|~sQ36_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f2004,f363,f497,f2034,f404,f369,f610,f540])).
% 3.30/0.87 fof(f2050,plain,(
% 3.30/0.87 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|X1=k7_lattices(sK1_skl,X0)|~r2_lattices(sK1_skl,X1,X0)|~sQ36_spl|~sQ291_spl)),
% 3.30/0.87 inference(forward_demodulation,[status(thm)],[f541,f2035])).
% 3.30/0.87 fof(f2802,plain,(
% 3.30/0.87 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK1_skl))|~r2_lattices(sK0_skl,X0,X1)|r2_lattices(sK1_skl,X0,X1)|~sQ36_spl|~sQ236_spl)),
% 3.30/0.87 inference(forward_demodulation,[status(thm)],[f541,f1678])).
% 3.30/0.87 fof(f2803,plain,(
% 3.30/0.87 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|~r2_lattices(sK0_skl,X0,X1)|r2_lattices(sK1_skl,X0,X1)|~sQ36_spl|~sQ236_spl)),
% 3.30/0.87 inference(forward_demodulation,[status(thm)],[f541,f2802])).
% 3.30/0.87 fof(f2804,plain,(
% 3.30/0.87 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(sK0_skl))|~r2_lattices(sK0_skl,X0,X1)|r2_lattices(sK1_skl,X0,X1)|~sQ36_spl|~sQ236_spl)),
% 3.30/0.87 inference(duplicate_literals_removal,[status(thm)],[f2803])).
% 3.30/0.87 fof(f2817,plain,(
% 3.30/0.87 ~m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl))|~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|r2_lattices(sK1_skl,k7_lattices(sK0_skl,sK2_skl),sK2_skl)|~sQ36_spl|~sQ236_spl|~sQ55_spl),
% 3.30/0.87 inference(resolution,[status(thm)],[f2804,f649])).
% 3.30/0.87 fof(f2830,definition,(
% 3.30/0.87 sQ403_spl <=> (r2_lattices(sK1_skl,k7_lattices(sK0_skl,sK2_skl),sK2_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f2831,plain,(
% 3.30/0.87 r2_lattices(sK1_skl,k7_lattices(sK0_skl,sK2_skl),sK2_skl)|~sQ403_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f2830])).
% 3.30/0.87 fof(f2833,plain,(
% 3.30/0.87 ~sQ29_spl|~sQ66_spl|sQ403_spl|~sQ36_spl|~sQ236_spl|~sQ55_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f2817,f513,f715,f2830,f540,f1677,f648])).
% 3.30/0.87 fof(f2955,plain,(
% 3.30/0.87 ~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|~m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl))|k7_lattices(sK0_skl,sK2_skl)=k7_lattices(sK1_skl,sK2_skl)|~sQ403_spl|~sQ36_spl|~sQ291_spl),
% 3.30/0.87 inference(resolution,[status(thm)],[f2831,f2050])).
% 3.30/0.87 fof(f2958,definition,(
% 3.30/0.87 sQ427_spl <=> (k7_lattices(sK0_skl,sK2_skl)=k7_lattices(sK1_skl,sK2_skl))),
% 3.30/0.87 introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition])).
% 3.30/0.87 fof(f2959,plain,(
% 3.30/0.87 k7_lattices(sK0_skl,sK2_skl)=k7_lattices(sK1_skl,sK2_skl)|~sQ427_spl),
% 3.30/0.87 inference(component_clause,[status(thm)],[f2958])).
% 3.30/0.87 fof(f2961,plain,(
% 3.30/0.87 ~sQ66_spl|~sQ29_spl|sQ427_spl|~sQ403_spl|~sQ36_spl|~sQ291_spl),
% 3.30/0.87 inference(split_clause,[status(thm)],[f2955,f715,f513,f2958,f2830,f540,f2034])).
% 3.30/0.87 fof(f2966,plain,(
% 3.30/0.87 $false|~sQ427_spl),
% 3.30/0.87 inference(forward_subsumption_resolution,[status(thm)],[f2959,f387])).
% 3.30/0.87 fof(f2967,plain,(
% 3.30/0.87 ~sQ427_spl),
% 3.30/0.87 inference(contradiction_clause,[status(thm)],[f2966])).
% 3.30/0.87 fof(f2968,plain,(
% 3.30/0.87 $false),
% 3.30/0.87 inference(sat_refutation,[status(thm)],[f372,f382,f384,f386,f393,f397,f399,f401,f419,f421,f494,f506,f516,f562,f613,f617,f651,f723,f1040,f1042,f1363,f1365,f1666,f1670,f1680,f2037,f2833,f2961,f2967])).
% 3.30/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 3.30/0.89 % Elapsed time: 0.512398 seconds
% 3.30/0.89 % CPU time: 3.733425 seconds
% 3.30/0.89 % Total memory used: 181.733 MB
% 3.30/0.89 % Net memory used: 179.336 MB
%------------------------------------------------------------------------------