%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:03:43 PM UTC 2026
% Result : Theorem 21.51s 3.21s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:40:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 21.51/3.21 % Refutation found
% 21.51/3.21 % SZS status Theorem for theBenchmark: Theorem is valid
% 21.51/3.21 % SZS output start CNFRefutation for theBenchmark
% 21.51/3.21 fof(f1,conjecture,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> ( k23_filter_2(A,k17_filter_2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))& k23_filter_2(A,k1_filter_2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f2,negated_conjecture,(
% 21.51/3.21 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> ( k23_filter_2(A,k17_filter_2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))& k23_filter_2(A,k1_filter_2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) ))),
% 21.51/3.21 inference(negated_conjecture,[status(cth)],[f1])).
% 21.51/3.21 fof(f6,axiom,(
% 21.51/3.21 (! [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) ) ) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f7,axiom,(
% 21.51/3.21 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> v1_relat_1(C) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f10,axiom,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& m2_lattice4(B,A) )=> (! [C] :( m2_nat_lat(C,A)=> ( C = k23_filter_2(A,B)<=> (? [D] :( v1_funct_1(D)& v1_funct_2(D,k2_zfmisc_1(B,B),B)& m2_relset_1(D,k2_zfmisc_1(B,B),B)& (? [E] :( v1_funct_1(E)& v1_funct_2(E,k2_zfmisc_1(B,B),B)& m2_relset_1(E,k2_zfmisc_1(B,B),B)& D = k1_realset1(u2_lattices(A),B)& E = k1_realset1(u1_lattices(A),B)& C = g3_lattices(B,D,E) ) )) )) ) )) )) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f12,axiom,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> k1_filter_0(A) = u1_struct_0(A) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f13,axiom,(
% 21.51/3.21 (! [A] :( v1_relat_1(A)=> (! [B] : k1_realset1(A,B) = k7_relat_1(A,k2_zfmisc_1(B,B)) )) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f14,axiom,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> k17_filter_2(A) = u1_struct_0(A) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f18,axiom,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> m1_filter_2(k1_filter_2(A),A) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f23,axiom,(
% 21.51/3.21 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& ~ v1_xboole_0(B)& m2_lattice4(B,A) )=> m2_nat_lat(k23_filter_2(A,B),A) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f25,axiom,(
% 21.51/3.21 (! [A,B,C] :( m1_relset_1(C,A,B)=> m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f28,axiom,(
% 21.51/3.21 (! [A] :( l1_lattices(A)=> l1_struct_0(A) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f31,axiom,(
% 21.51/3.21 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f33,axiom,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_filter_2(B,A)=> ( ~ v1_xboole_0(B)& m2_lattice4(B,A) ) ) )) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f39,axiom,(
% 21.51/3.21 (! [A,B,C] :( m2_relset_1(C,A,B)=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f40,axiom,(
% 21.51/3.21 (! [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)) ) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f42,axiom,(
% 21.51/3.21 (! [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)) ) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f56,axiom,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& l1_struct_0(A) )=> ~ v1_xboole_0(u1_struct_0(A)) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f59,axiom,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& v4_lattices(A)& l2_lattices(A) )=> ( v1_relat_1(u2_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))& v1_binop_1(u2_lattices(A),u1_struct_0(A))& v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f83,axiom,(
% 21.51/3.21 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> k1_filter_2(A) = k1_filter_0(A) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f84,axiom,(
% 21.51/3.21 (! [A,B,C] :( m1_relset_1(C,A,B)=> k4_relset_1(A,B,C) = k1_relat_1(C) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f87,axiom,(
% 21.51/3.21 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f94,axiom,(
% 21.51/3.21 (! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f100,axiom,(
% 21.51/3.21 (! [A,B] :( v1_relat_1(B)=> ( r1_tarski(k1_relat_1(B),A)=> k7_relat_1(B,A) = B ) ) )),
% 21.51/3.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 21.51/3.21 fof(f101,plain,(
% 21.51/3.21 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(~k23_filter_2(A,k17_filter_2(A))=g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))|~k23_filter_2(A,k1_filter_2(A))=g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 21.51/3.21 fof(f102,plain,(
% 21.51/3.21 (((~v3_struct_0(sK0_skl)&v10_lattices(sK0_skl))&l3_lattices(sK0_skl))&(~k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))|~k23_filter_2(sK0_skl,k1_filter_2(sK0_skl))=g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))))),
% 21.51/3.21 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(A,sK0_skl)],[f101])).
% 21.51/3.21 fof(f103,plain,(
% 21.51/3.21 ~v3_struct_0(sK0_skl)),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f102])).
% 21.51/3.21 fof(f104,plain,(
% 21.51/3.21 v10_lattices(sK0_skl)),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f102])).
% 21.51/3.21 fof(f105,plain,(
% 21.51/3.21 l3_lattices(sK0_skl)),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f102])).
% 21.51/3.21 fof(f106,plain,(
% 21.51/3.21 ~k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))|~k23_filter_2(sK0_skl,k1_filter_2(sK0_skl))=g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f102])).
% 21.51/3.21 fof(f113,plain,(
% 21.51/3.21 ![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))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 21.51/3.21 fof(f115,plain,(
% 21.51/3.21 ![X0]: (~l3_lattices(X0)|v3_struct_0(X0)|~v10_lattices(X0)|v4_lattices(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f113])).
% 21.51/3.21 fof(f121,plain,(
% 21.51/3.21 ![A,B,C]: (~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 21.51/3.21 fof(f122,plain,(
% 21.51/3.21 ![C]: ((![A,B]: ~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))|v1_relat_1(C))),
% 21.51/3.21 inference(miniscoping,[status(thm)],[f121])).
% 21.51/3.21 fof(f123,plain,(
% 21.51/3.21 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|v1_relat_1(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f122])).
% 21.51/3.21 fof(f131,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((v1_xboole_0(B)|~m2_lattice4(B,A))|(![C]: (~m2_nat_lat(C,A)|(C=k23_filter_2(A,B)<=>(?[D]: (((v1_funct_1(D)&v1_funct_2(D,k2_zfmisc_1(B,B),B))&m2_relset_1(D,k2_zfmisc_1(B,B),B))&(?[E]: (((((v1_funct_1(E)&v1_funct_2(E,k2_zfmisc_1(B,B),B))&m2_relset_1(E,k2_zfmisc_1(B,B),B))&D=k1_realset1(u2_lattices(A),B))&E=k1_realset1(u1_lattices(A),B))&C=g3_lattices(B,D,E)))))))))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 21.51/3.21 fof(f132,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((v1_xboole_0(B)|~m2_lattice4(B,A))|(![C]: (~m2_nat_lat(C,A)|((~C=k23_filter_2(A,B)|(?[D]: (((v1_funct_1(D)&v1_funct_2(D,k2_zfmisc_1(B,B),B))&m2_relset_1(D,k2_zfmisc_1(B,B),B))&(?[E]: (((((v1_funct_1(E)&v1_funct_2(E,k2_zfmisc_1(B,B),B))&m2_relset_1(E,k2_zfmisc_1(B,B),B))&D=k1_realset1(u2_lattices(A),B))&E=k1_realset1(u1_lattices(A),B))&C=g3_lattices(B,D,E))))))&(C=k23_filter_2(A,B)|(![D]: (((~v1_funct_1(D)|~v1_funct_2(D,k2_zfmisc_1(B,B),B))|~m2_relset_1(D,k2_zfmisc_1(B,B),B))|(![E]: (((((~v1_funct_1(E)|~v1_funct_2(E,k2_zfmisc_1(B,B),B))|~m2_relset_1(E,k2_zfmisc_1(B,B),B))|~D=k1_realset1(u2_lattices(A),B))|~E=k1_realset1(u1_lattices(A),B))|~C=g3_lattices(B,D,E))))))))))))),
% 21.51/3.21 inference(NNF_transformation,[status(thm)],[f131])).
% 21.51/3.21 fof(f133,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((v1_xboole_0(B)|~m2_lattice4(B,A))|(![C]: (~m2_nat_lat(C,A)|((~C=k23_filter_2(A,B)|(((v1_funct_1(sK1_skl(C,B,A))&v1_funct_2(sK1_skl(C,B,A),k2_zfmisc_1(B,B),B))&m2_relset_1(sK1_skl(C,B,A),k2_zfmisc_1(B,B),B))&(((((v1_funct_1(sK2_skl(C,B,A))&v1_funct_2(sK2_skl(C,B,A),k2_zfmisc_1(B,B),B))&m2_relset_1(sK2_skl(C,B,A),k2_zfmisc_1(B,B),B))&sK1_skl(C,B,A)=k1_realset1(u2_lattices(A),B))&sK2_skl(C,B,A)=k1_realset1(u1_lattices(A),B))&C=g3_lattices(B,sK1_skl(C,B,A),sK2_skl(C,B,A)))))&(C=k23_filter_2(A,B)|(![D]: (((~v1_funct_1(D)|~v1_funct_2(D,k2_zfmisc_1(B,B),B))|~m2_relset_1(D,k2_zfmisc_1(B,B),B))|(![E]: (((((~v1_funct_1(E)|~v1_funct_2(E,k2_zfmisc_1(B,B),B))|~m2_relset_1(E,k2_zfmisc_1(B,B),B))|~D=k1_realset1(u2_lattices(A),B))|~E=k1_realset1(u1_lattices(A),B))|~C=g3_lattices(B,D,E))))))))))))),
% 21.51/3.21 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(D,sK1_skl(C,B,A)),skolemize(E,sK2_skl(C,B,A))],[f132])).
% 21.51/3.21 fof(f140,plain,(
% 21.51/3.21 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|~m2_nat_lat(X2,X0)|~X2=k23_filter_2(X0,X1)|sK1_skl(X2,X1,X0)=k1_realset1(u2_lattices(X0),X1))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f133])).
% 21.51/3.21 fof(f141,plain,(
% 21.51/3.21 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|~m2_nat_lat(X2,X0)|~X2=k23_filter_2(X0,X1)|sK2_skl(X2,X1,X0)=k1_realset1(u1_lattices(X0),X1))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f133])).
% 21.51/3.21 fof(f142,plain,(
% 21.51/3.21 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|~m2_nat_lat(X2,X0)|~X2=k23_filter_2(X0,X1)|X2=g3_lattices(X1,sK1_skl(X2,X1,X0),sK2_skl(X2,X1,X0)))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f133])).
% 21.51/3.21 fof(f152,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|k1_filter_0(A)=u1_struct_0(A))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 21.51/3.21 fof(f153,plain,(
% 21.51/3.21 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|k1_filter_0(X0)=u1_struct_0(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f152])).
% 21.51/3.21 fof(f154,plain,(
% 21.51/3.21 ![A]: (~v1_relat_1(A)|(![B]: k1_realset1(A,B)=k7_relat_1(A,k2_zfmisc_1(B,B))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 21.51/3.21 fof(f155,plain,(
% 21.51/3.21 ![X0,X1]: (~v1_relat_1(X0)|k1_realset1(X0,X1)=k7_relat_1(X0,k2_zfmisc_1(X1,X1)))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f154])).
% 21.51/3.21 fof(f156,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|k17_filter_2(A)=u1_struct_0(A))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 21.51/3.21 fof(f157,plain,(
% 21.51/3.21 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|k17_filter_2(X0)=u1_struct_0(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f156])).
% 21.51/3.21 fof(f165,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|m1_filter_2(k1_filter_2(A),A))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 21.51/3.21 fof(f166,plain,(
% 21.51/3.21 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|m1_filter_2(k1_filter_2(X0),X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f165])).
% 21.51/3.21 fof(f167,plain,(
% 21.51/3.21 ![A,B]: (((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|v1_xboole_0(B))|~m2_lattice4(B,A))|m2_nat_lat(k23_filter_2(A,B),A))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 21.51/3.21 fof(f168,plain,(
% 21.51/3.21 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|m2_nat_lat(k23_filter_2(X0,X1),X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f167])).
% 21.51/3.21 fof(f169,plain,(
% 21.51/3.21 ![A,B,C]: (~m1_relset_1(C,A,B)|m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 21.51/3.21 fof(f170,plain,(
% 21.51/3.21 ![X0,X1,X2]: (~m1_relset_1(X0,X1,X2)|m1_subset_1(k4_relset_1(X1,X2,X0),k1_zfmisc_1(X1)))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f169])).
% 21.51/3.21 fof(f177,plain,(
% 21.51/3.21 ![A]: (~l1_lattices(A)|l1_struct_0(A))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 21.51/3.21 fof(f178,plain,(
% 21.51/3.21 ![X0]: (~l1_lattices(X0)|l1_struct_0(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f177])).
% 21.51/3.21 fof(f181,plain,(
% 21.51/3.21 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 21.51/3.21 fof(f182,plain,(
% 21.51/3.21 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f181])).
% 21.51/3.21 fof(f183,plain,(
% 21.51/3.21 ![X0]: (~l3_lattices(X0)|l2_lattices(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f181])).
% 21.51/3.21 fof(f187,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_filter_2(B,A)|(~v1_xboole_0(B)&m2_lattice4(B,A)))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 21.51/3.21 fof(f189,plain,(
% 21.51/3.21 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_filter_2(X1,X0)|m2_lattice4(X1,X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f187])).
% 21.51/3.21 fof(f199,plain,(
% 21.51/3.21 ![A,B,C]: (~m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 21.51/3.21 fof(f200,plain,(
% 21.51/3.21 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f199])).
% 21.51/3.21 fof(f201,plain,(
% 21.51/3.21 ![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))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 21.51/3.21 fof(f204,plain,(
% 21.51/3.21 ![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)))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f201])).
% 21.51/3.21 fof(f205,plain,(
% 21.51/3.21 ![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))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 21.51/3.21 fof(f208,plain,(
% 21.51/3.21 ![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)))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f205])).
% 21.51/3.21 fof(f241,plain,(
% 21.51/3.21 ![A]: ((v3_struct_0(A)|~l1_struct_0(A))|~v1_xboole_0(u1_struct_0(A)))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 21.51/3.21 fof(f242,plain,(
% 21.51/3.21 ![X0]: (v3_struct_0(X0)|~l1_struct_0(X0)|~v1_xboole_0(u1_struct_0(X0)))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f241])).
% 21.51/3.21 fof(f245,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v4_lattices(A))|~l2_lattices(A))|((((v1_relat_1(u2_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)))&v1_binop_1(u2_lattices(A),u1_struct_0(A)))&v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f59])).
% 21.51/3.21 fof(f246,plain,(
% 21.51/3.21 ![X0]: (v3_struct_0(X0)|~v4_lattices(X0)|~l2_lattices(X0)|v1_relat_1(u2_lattices(X0)))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f245])).
% 21.51/3.21 fof(f359,plain,(
% 21.51/3.21 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|k1_filter_2(A)=k1_filter_0(A))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f83])).
% 21.51/3.21 fof(f360,plain,(
% 21.51/3.21 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|k1_filter_2(X0)=k1_filter_0(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f359])).
% 21.51/3.21 fof(f361,plain,(
% 21.51/3.21 ![A,B,C]: (~m1_relset_1(C,A,B)|k4_relset_1(A,B,C)=k1_relat_1(C))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 21.51/3.21 fof(f362,plain,(
% 21.51/3.21 ![X0,X1,X2]: (~m1_relset_1(X0,X1,X2)|k4_relset_1(X1,X2,X0)=k1_relat_1(X0))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f361])).
% 21.51/3.21 fof(f371,plain,(
% 21.51/3.21 ![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)))),
% 21.51/3.21 inference(NNF_transformation,[status(thm)],[f87])).
% 21.51/3.21 fof(f372,plain,(
% 21.51/3.21 (![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)))),
% 21.51/3.21 inference(miniscoping,[status(thm)],[f371])).
% 21.51/3.21 fof(f373,plain,(
% 21.51/3.21 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f372])).
% 21.51/3.21 fof(f390,plain,(
% 21.51/3.21 ![A,B]: ((~m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B))&(m1_subset_1(A,k1_zfmisc_1(B))|~r1_tarski(A,B)))),
% 21.51/3.21 inference(NNF_transformation,[status(thm)],[f94])).
% 21.51/3.21 fof(f391,plain,(
% 21.51/3.21 (![A,B]: (~m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B)))&(![A,B]: (m1_subset_1(A,k1_zfmisc_1(B))|~r1_tarski(A,B)))),
% 21.51/3.21 inference(miniscoping,[status(thm)],[f390])).
% 21.51/3.21 fof(f392,plain,(
% 21.51/3.21 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(X1))|r1_tarski(X0,X1))),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f391])).
% 21.51/3.21 fof(f408,plain,(
% 21.51/3.21 ![A,B]: (~v1_relat_1(B)|(~r1_tarski(k1_relat_1(B),A)|k7_relat_1(B,A)=B))),
% 21.51/3.21 inference(pre_NNF_transformation,[status(thm)],[f100])).
% 21.51/3.21 fof(f409,plain,(
% 21.51/3.21 ![B]: (~v1_relat_1(B)|(![A]: (~r1_tarski(k1_relat_1(B),A)|k7_relat_1(B,A)=B)))),
% 21.51/3.21 inference(miniscoping,[status(thm)],[f408])).
% 21.51/3.21 fof(f410,plain,(
% 21.51/3.21 ![X0,X1]: (~v1_relat_1(X0)|~r1_tarski(k1_relat_1(X0),X1)|k7_relat_1(X0,X1)=X0)),
% 21.51/3.21 inference(cnf_transformation,[status(thm)],[f409])).
% 21.51/3.21 fof(f422,plain,(
% 21.51/3.21 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|~m2_nat_lat(k23_filter_2(X0,X1),X0)|sK1_skl(k23_filter_2(X0,X1),X1,X0)=k1_realset1(u2_lattices(X0),X1))),
% 21.51/3.21 inference(destructive_equality_resolution,[status(thm)],[f140])).
% 21.51/3.21 fof(f423,plain,(
% 21.51/3.21 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|~m2_nat_lat(k23_filter_2(X0,X1),X0)|sK2_skl(k23_filter_2(X0,X1),X1,X0)=k1_realset1(u1_lattices(X0),X1))),
% 21.51/3.21 inference(destructive_equality_resolution,[status(thm)],[f141])).
% 21.51/3.21 fof(f424,plain,(
% 21.51/3.21 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|~m2_nat_lat(k23_filter_2(X0,X1),X0)|k23_filter_2(X0,X1)=g3_lattices(X1,sK1_skl(k23_filter_2(X0,X1),X1,X0),sK2_skl(k23_filter_2(X0,X1),X1,X0)))),
% 21.51/3.21 inference(destructive_equality_resolution,[status(thm)],[f142])).
% 21.51/3.21 fof(f432,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|k17_filter_2(sK0_skl)=u1_struct_0(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f157,f105])).
% 21.51/3.21 fof(f433,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|k17_filter_2(sK0_skl)=u1_struct_0(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f432,f103])).
% 21.51/3.21 fof(f434,plain,(
% 21.51/3.21 ~k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(u1_struct_0(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))|~k23_filter_2(sK0_skl,k1_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(backward_demodulation,[status(thm)],[f435,f106])).
% 21.51/3.21 fof(f435,plain,(
% 21.51/3.21 k17_filter_2(sK0_skl)=u1_struct_0(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f433,f104])).
% 21.51/3.21 fof(f436,plain,(
% 21.51/3.21 ~k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))|~k23_filter_2(sK0_skl,k1_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f435,f434])).
% 21.51/3.21 fof(f440,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|m1_filter_2(k1_filter_2(sK0_skl),sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f166,f105])).
% 21.51/3.21 fof(f441,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|m1_filter_2(k1_filter_2(sK0_skl),sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f440,f103])).
% 21.51/3.21 fof(f442,plain,(
% 21.51/3.21 m1_filter_2(k1_filter_2(sK0_skl),sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f441,f104])).
% 21.51/3.21 fof(f443,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|k1_filter_2(sK0_skl)=k1_filter_0(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f360,f105])).
% 21.51/3.21 fof(f444,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|k1_filter_2(sK0_skl)=k1_filter_0(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f443,f103])).
% 21.51/3.21 fof(f445,plain,(
% 21.51/3.21 k1_filter_2(sK0_skl)=k1_filter_0(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f444,f104])).
% 21.51/3.21 fof(f466,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|v4_lattices(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f115,f105])).
% 21.51/3.21 fof(f467,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|v4_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f466,f103])).
% 21.51/3.21 fof(f468,plain,(
% 21.51/3.21 v4_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f467,f104])).
% 21.51/3.21 fof(f526,plain,(
% 21.51/3.21 l1_lattices(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f182,f105])).
% 21.51/3.21 fof(f527,plain,(
% 21.51/3.21 l1_struct_0(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f526,f178])).
% 21.51/3.21 fof(f544,plain,(
% 21.51/3.21 l2_lattices(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f183,f105])).
% 21.51/3.21 fof(f672,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~l1_struct_0(sK0_skl)|~v1_xboole_0(k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(paramodulation,[status(thm)],[f435,f242])).
% 21.51/3.21 fof(f674,plain,(
% 21.51/3.21 ~l1_struct_0(sK0_skl)|~v1_xboole_0(k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f672,f103])).
% 21.51/3.21 fof(f676,plain,(
% 21.51/3.21 ~v1_xboole_0(k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f674,f527])).
% 21.51/3.21 fof(f817,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|k1_filter_0(sK0_skl)=u1_struct_0(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f153,f105])).
% 21.51/3.21 fof(f822,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|k1_filter_2(sK0_skl)=u1_struct_0(sK0_skl)),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f445,f817])).
% 21.51/3.21 fof(f823,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|k1_filter_2(sK0_skl)=k17_filter_2(sK0_skl)),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f435,f822])).
% 21.51/3.21 fof(f824,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|k1_filter_2(sK0_skl)=k17_filter_2(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f823,f103])).
% 21.51/3.21 fof(f851,plain,(
% 21.51/3.21 m1_filter_2(k17_filter_2(sK0_skl),sK0_skl)),
% 21.51/3.21 inference(backward_demodulation,[status(thm)],[f853,f442])).
% 21.51/3.21 fof(f852,plain,(
% 21.51/3.21 ~k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))|~k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(backward_demodulation,[status(thm)],[f853,f436])).
% 21.51/3.21 fof(f853,plain,(
% 21.51/3.21 k1_filter_2(sK0_skl)=k17_filter_2(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f824,f104])).
% 21.51/3.21 fof(f854,plain,(
% 21.51/3.21 ~k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(duplicate_literals_removal,[status(thm)],[f852])).
% 21.51/3.21 fof(f904,plain,(
% 21.51/3.21 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|k23_filter_2(X0,X1)=g3_lattices(X1,sK1_skl(k23_filter_2(X0,X1),X1,X0),sK2_skl(k23_filter_2(X0,X1),X1,X0)))),
% 21.51/3.21 inference(backward_subsumption_resolution,[status(thm)],[f424,f168])).
% 21.51/3.21 fof(f905,plain,(
% 21.51/3.21 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|sK2_skl(k23_filter_2(X0,X1),X1,X0)=k1_realset1(u1_lattices(X0),X1))),
% 21.51/3.21 inference(backward_subsumption_resolution,[status(thm)],[f423,f168])).
% 21.51/3.21 fof(f906,plain,(
% 21.51/3.21 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m2_lattice4(X1,X0)|sK1_skl(k23_filter_2(X0,X1),X1,X0)=k1_realset1(u2_lattices(X0),X1))),
% 21.51/3.21 inference(backward_subsumption_resolution,[status(thm)],[f422,f168])).
% 21.51/3.21 fof(f1041,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|m2_lattice4(k17_filter_2(sK0_skl),sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f189,f851])).
% 21.51/3.21 fof(f1043,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|m2_lattice4(k17_filter_2(sK0_skl),sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f1041,f103])).
% 21.51/3.21 fof(f1050,plain,(
% 21.51/3.21 ~l3_lattices(sK0_skl)|m2_lattice4(k17_filter_2(sK0_skl),sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f1043,f104])).
% 21.51/3.21 fof(f1051,plain,(
% 21.51/3.21 m2_lattice4(k17_filter_2(sK0_skl),sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f1050,f105])).
% 21.51/3.21 fof(f1366,plain,(
% 21.51/3.21 m2_relset_1(u1_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f204,f526])).
% 21.51/3.21 fof(f1371,plain,(
% 21.51/3.21 m2_relset_1(u1_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl))),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f435,f1366])).
% 21.51/3.21 fof(f1372,plain,(
% 21.51/3.21 m2_relset_1(u1_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),u1_struct_0(sK0_skl))),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f435,f1371])).
% 21.51/3.21 fof(f1373,plain,(
% 21.51/3.21 m2_relset_1(u1_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f435,f1372])).
% 21.51/3.21 fof(f1402,plain,(
% 21.51/3.21 m1_subset_1(u1_lattices(sK0_skl),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl))))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1373,f200])).
% 21.51/3.21 fof(f1403,plain,(
% 21.51/3.21 m1_relset_1(u1_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1373,f373])).
% 21.51/3.21 fof(f1441,plain,(
% 21.51/3.21 m1_subset_1(k4_relset_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),u1_lattices(sK0_skl)),k1_zfmisc_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl))))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1403,f170])).
% 21.51/3.21 fof(f1442,plain,(
% 21.51/3.21 k4_relset_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),u1_lattices(sK0_skl))=k1_relat_1(u1_lattices(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1403,f362])).
% 21.51/3.21 fof(f1448,plain,(
% 21.51/3.21 v1_relat_1(u1_lattices(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1402,f123])).
% 21.51/3.21 fof(f1461,plain,(
% 21.51/3.21 ![X0]: (k1_realset1(u1_lattices(sK0_skl),X0)=k7_relat_1(u1_lattices(sK0_skl),k2_zfmisc_1(X0,X0)))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1448,f155])).
% 21.51/3.21 fof(f1515,plain,(
% 21.51/3.21 m2_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f208,f544])).
% 21.51/3.21 fof(f1521,plain,(
% 21.51/3.21 m2_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl))),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f435,f1515])).
% 21.51/3.21 fof(f1522,plain,(
% 21.51/3.21 m2_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),u1_struct_0(sK0_skl))),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f435,f1521])).
% 21.51/3.21 fof(f1523,plain,(
% 21.51/3.21 m2_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f435,f1522])).
% 21.51/3.21 fof(f1571,plain,(
% 21.51/3.21 m1_relset_1(u2_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1523,f373])).
% 21.51/3.21 fof(f1817,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v4_lattices(sK0_skl)|v1_relat_1(u2_lattices(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f246,f544])).
% 21.51/3.21 fof(f1825,plain,(
% 21.51/3.21 ~v4_lattices(sK0_skl)|v1_relat_1(u2_lattices(sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f1817,f103])).
% 21.51/3.21 fof(f1830,plain,(
% 21.51/3.21 v1_relat_1(u2_lattices(sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f1825,f468])).
% 21.51/3.21 fof(f1831,plain,(
% 21.51/3.21 ![X0]: (k1_realset1(u2_lattices(sK0_skl),X0)=k7_relat_1(u2_lattices(sK0_skl),k2_zfmisc_1(X0,X0)))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1830,f155])).
% 21.51/3.21 fof(f2570,plain,(
% 21.51/3.21 ![X0]: (~r1_tarski(k1_relat_1(u2_lattices(sK0_skl)),X0)|k7_relat_1(u2_lattices(sK0_skl),X0)=u2_lattices(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f410,f1830])).
% 21.51/3.21 fof(f2573,plain,(
% 21.51/3.21 ![X0]: (~r1_tarski(k1_relat_1(u1_lattices(sK0_skl)),X0)|k7_relat_1(u1_lattices(sK0_skl),X0)=u1_lattices(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f410,f1448])).
% 21.51/3.21 fof(f2757,plain,(
% 21.51/3.21 m1_subset_1(k4_relset_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),u2_lattices(sK0_skl)),k1_zfmisc_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl))))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1571,f170])).
% 21.51/3.21 fof(f2758,plain,(
% 21.51/3.21 k4_relset_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),u2_lattices(sK0_skl))=k1_relat_1(u2_lattices(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f1571,f362])).
% 21.51/3.21 fof(f3445,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl),sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f904,f1051])).
% 21.51/3.21 fof(f3454,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl),sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f3445,f103])).
% 21.51/3.21 fof(f3463,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=k1_realset1(u1_lattices(sK0_skl),k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f905,f1051])).
% 21.51/3.21 fof(f3472,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=k1_realset1(u1_lattices(sK0_skl),k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f3463,f103])).
% 21.51/3.21 fof(f3481,plain,(
% 21.51/3.21 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=k1_realset1(u2_lattices(sK0_skl),k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(resolution,[status(thm)],[f906,f1051])).
% 21.51/3.21 fof(f3490,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=k1_realset1(u2_lattices(sK0_skl),k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f3481,f103])).
% 21.51/3.21 fof(f8768,plain,(
% 21.51/3.21 m1_subset_1(k1_relat_1(u1_lattices(sK0_skl)),k1_zfmisc_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl))))),
% 21.51/3.21 inference(backward_demodulation,[status(thm)],[f1442,f1441])).
% 21.51/3.21 fof(f8926,plain,(
% 21.51/3.21 r1_tarski(k1_relat_1(u1_lattices(sK0_skl)),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)))),
% 21.51/3.21 inference(resolution,[status(thm)],[f8768,f392])).
% 21.51/3.21 fof(f8929,plain,(
% 21.51/3.21 k7_relat_1(u1_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)))=u1_lattices(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f8926,f2573])).
% 21.51/3.21 fof(f8931,plain,(
% 21.51/3.21 k1_realset1(u1_lattices(sK0_skl),k17_filter_2(sK0_skl))=u1_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f1461,f8929])).
% 21.51/3.21 fof(f12371,plain,(
% 21.51/3.21 m1_subset_1(k1_relat_1(u2_lattices(sK0_skl)),k1_zfmisc_1(k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl))))),
% 21.51/3.21 inference(backward_demodulation,[status(thm)],[f2758,f2757])).
% 21.51/3.21 fof(f12501,plain,(
% 21.51/3.21 r1_tarski(k1_relat_1(u2_lattices(sK0_skl)),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)))),
% 21.51/3.21 inference(resolution,[status(thm)],[f12371,f392])).
% 21.51/3.21 fof(f12568,plain,(
% 21.51/3.21 k7_relat_1(u2_lattices(sK0_skl),k2_zfmisc_1(k17_filter_2(sK0_skl),k17_filter_2(sK0_skl)))=u2_lattices(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f12501,f2570])).
% 21.51/3.21 fof(f12571,plain,(
% 21.51/3.21 k1_realset1(u2_lattices(sK0_skl),k17_filter_2(sK0_skl))=u2_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f1831,f12568])).
% 21.51/3.21 fof(f16025,plain,(
% 21.51/3.21 ~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl),sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f3454,f104])).
% 21.51/3.21 fof(f16161,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=u1_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f8931,f3472])).
% 21.51/3.21 fof(f16162,plain,(
% 21.51/3.21 ~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=u1_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f16161,f104])).
% 21.51/3.21 fof(f16163,plain,(
% 21.51/3.21 v1_xboole_0(k17_filter_2(sK0_skl))|sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=u1_lattices(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f16162,f105])).
% 21.51/3.21 fof(f16164,plain,(
% 21.51/3.21 sK2_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=u1_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f16163,f676])).
% 21.51/3.21 fof(f16166,plain,(
% 21.51/3.21 ~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(backward_demodulation,[status(thm)],[f16164,f16025])).
% 21.51/3.21 fof(f16167,plain,(
% 21.51/3.21 v1_xboole_0(k17_filter_2(sK0_skl))|k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f16166,f105])).
% 21.51/3.21 fof(f16320,plain,(
% 21.51/3.21 ~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=u2_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f12571,f3490])).
% 21.51/3.21 fof(f16321,plain,(
% 21.51/3.21 ~l3_lattices(sK0_skl)|v1_xboole_0(k17_filter_2(sK0_skl))|sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=u2_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f16320,f104])).
% 21.51/3.21 fof(f16322,plain,(
% 21.51/3.21 v1_xboole_0(k17_filter_2(sK0_skl))|sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=u2_lattices(sK0_skl)),
% 21.51/3.21 inference(resolution,[status(thm)],[f16321,f105])).
% 21.51/3.21 fof(f16323,plain,(
% 21.51/3.21 sK1_skl(k23_filter_2(sK0_skl,k17_filter_2(sK0_skl)),k17_filter_2(sK0_skl),sK0_skl)=u2_lattices(sK0_skl)),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f16322,f676])).
% 21.51/3.21 fof(f29066,plain,(
% 21.51/3.21 v1_xboole_0(k17_filter_2(sK0_skl))|k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(forward_demodulation,[status(thm)],[f16323,f16167])).
% 21.51/3.21 fof(f29074,plain,(
% 21.51/3.21 ~k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))),
% 21.51/3.21 inference(backward_demodulation,[status(thm)],[f29076,f854])).
% 21.51/3.21 fof(f29076,plain,(
% 21.51/3.21 k23_filter_2(sK0_skl,k17_filter_2(sK0_skl))=g3_lattices(k17_filter_2(sK0_skl),u2_lattices(sK0_skl),u1_lattices(sK0_skl))),
% 21.51/3.21 inference(forward_subsumption_resolution,[status(thm)],[f29066,f676])).
% 21.51/3.21 fof(f29093,plain,(
% 21.51/3.21 $false),
% 21.51/3.21 inference(trivial_equality_resolution,[status(thm)],[f29074])).
% 20.28/3.26 % SZS output end CNFRefutation for theBenchmark.p
% 20.28/3.28 % Elapsed time: 2.909491 seconds
% 20.28/3.28 % CPU time: 22.722250 seconds
% 20.28/3.28 % Total memory used: 353.824 MB
% 20.28/3.28 % Net memory used: 346.723 MB
%------------------------------------------------------------------------------