TSTP Solution File: LAT311+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT311+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:17:28 EDT 2023
% Result : Theorem 0.18s 0.59s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT311+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 30 09:26:12 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.18/0.59 % Refutation found
% 0.18/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.59 fof(f1,conjecture,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )=> ( r2_hidden(B,C)=> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C)) ) ) )) )) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f2,negated_conjecture,(
% 0.18/0.59 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )=> ( r2_hidden(B,C)=> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C)) ) ) )) )) ))),
% 0.18/0.59 inference(negated_conjecture,[status(cth)],[f1])).
% 0.18/0.59 fof(f12,axiom,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> k5_filter_2(A,B) = B ) )) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f13,axiom,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))=> k7_filter_2(A,B) = B ) )) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f14,axiom,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))=> k8_filter_2(A,B) = B ) )) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f19,axiom,(
% 0.18/0.59 (! [A] :( l3_lattices(A)=> ( v3_lattices(k1_lattice2(A))& l3_lattices(k1_lattice2(A)) ) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f27,axiom,(
% 0.18/0.59 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A)) )=> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f28,axiom,(
% 0.18/0.59 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f56,axiom,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A)) ) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f67,axiom,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A))& v4_lattices(k1_lattice2(A))& v5_lattices(k1_lattice2(A))& v6_lattices(k1_lattice2(A))& v7_lattices(k1_lattice2(A))& v8_lattices(k1_lattice2(A))& v9_lattices(k1_lattice2(A))& v10_lattices(k1_lattice2(A)) ) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f84,axiom,(
% 0.18/0.59 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m1_subset_1(B,u1_struct_0(A)) )=> k2_filter_2(A,B) = k2_filter_0(A,B) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f85,axiom,(
% 0.18/0.59 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> k3_filter_2(A,B) = k3_filter_0(A,B) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f91,axiom,(
% 0.18/0.59 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f92,axiom,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )=> ( r2_hidden(B,C)=> r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C)) ) ) )) )) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f93,axiom,(
% 0.18/0.59 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f95,axiom,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> ( k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B))& k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B) ) ) )) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f96,axiom,(
% 0.18/0.59 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( ( ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )=> (! [C] :( ( ~ v1_xboole_0(C)& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) )=> ( k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B)& k3_filter_2(A,B) = k19_filter_2(k1_lattice2(A),k7_filter_2(A,B))& k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C)& k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)) ) ) )) )) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f98,axiom,(
% 0.18/0.59 (! [A,B,C] :( ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C)) )=> m1_subset_1(A,C) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f101,axiom,(
% 0.18/0.59 (! [A,B] :~ ( r2_hidden(A,B)& v1_xboole_0(B) ) )),
% 0.18/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.59 fof(f103,plain,(
% 0.18/0.59 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(?[B]: (m1_subset_1(B,u1_struct_0(A))&(?[C]: ((~v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))&(r2_hidden(B,C)&~r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C)))))))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.18/0.59 fof(f104,plain,(
% 0.18/0.59 (((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&l3_lattices(sk0_0))&(m1_subset_1(sk0_1,u1_struct_0(sk0_0))&((~v1_xboole_0(sk0_2)&m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0))))&(r2_hidden(sk0_1,sk0_2)&~r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))))))),
% 0.18/0.59 inference(skolemization,[status(esa)],[f103])).
% 0.18/0.59 fof(f105,plain,(
% 0.18/0.59 ~v3_struct_0(sk0_0)),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.59 fof(f106,plain,(
% 0.18/0.59 v10_lattices(sk0_0)),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.59 fof(f107,plain,(
% 0.18/0.59 l3_lattices(sk0_0)),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.59 fof(f108,plain,(
% 0.18/0.59 m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.59 fof(f109,plain,(
% 0.18/0.59 ~v1_xboole_0(sk0_2)),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.59 fof(f110,plain,(
% 0.18/0.59 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.59 fof(f111,plain,(
% 0.18/0.59 r2_hidden(sk0_1,sk0_2)),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.59 fof(f112,plain,(
% 0.18/0.59 ~r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f104])).
% 0.18/0.59 fof(f141,plain,(
% 0.18/0.59 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|k5_filter_2(A,B)=B)))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.18/0.59 fof(f142,plain,(
% 0.18/0.59 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k5_filter_2(X0,X1)=X1)),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f141])).
% 0.18/0.59 fof(f143,plain,(
% 0.18/0.59 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))|k7_filter_2(A,B)=B)))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.18/0.59 fof(f144,plain,(
% 0.18/0.59 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|k7_filter_2(X0,X1)=X1)),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f143])).
% 0.18/0.59 fof(f145,plain,(
% 0.18/0.59 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))|k8_filter_2(A,B)=B)))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.18/0.59 fof(f146,plain,(
% 0.18/0.59 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))|k8_filter_2(X0,X1)=X1)),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f145])).
% 0.18/0.59 fof(f156,plain,(
% 0.18/0.59 ![A]: (~l3_lattices(A)|(v3_lattices(k1_lattice2(A))&l3_lattices(k1_lattice2(A))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.18/0.59 fof(f158,plain,(
% 0.18/0.59 ![X0]: (~l3_lattices(X0)|l3_lattices(k1_lattice2(X0)))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f156])).
% 0.18/0.59 fof(f167,plain,(
% 0.18/0.59 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.18/0.59 fof(f168,plain,(
% 0.18/0.59 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f167])).
% 0.18/0.59 fof(f169,plain,(
% 0.18/0.59 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.18/0.59 fof(f170,plain,(
% 0.18/0.59 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f169])).
% 0.18/0.59 fof(f229,plain,(
% 0.18/0.59 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 0.18/0.59 fof(f230,plain,(
% 0.18/0.59 ![X0]: (v3_struct_0(X0)|~l3_lattices(X0)|~v3_struct_0(k1_lattice2(X0)))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f229])).
% 0.18/0.59 fof(f267,plain,(
% 0.18/0.59 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((((((((~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A)))&v4_lattices(k1_lattice2(A)))&v5_lattices(k1_lattice2(A)))&v6_lattices(k1_lattice2(A)))&v7_lattices(k1_lattice2(A)))&v8_lattices(k1_lattice2(A)))&v9_lattices(k1_lattice2(A)))&v10_lattices(k1_lattice2(A))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.18/0.59 fof(f276,plain,(
% 0.18/0.59 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v10_lattices(k1_lattice2(X0)))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f267])).
% 0.18/0.59 fof(f348,plain,(
% 0.18/0.59 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m1_subset_1(B,u1_struct_0(A)))|k2_filter_2(A,B)=k2_filter_0(A,B))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.18/0.59 fof(f349,plain,(
% 0.18/0.59 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k2_filter_2(X0,X1)=k2_filter_0(X0,X1))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f348])).
% 0.18/0.59 fof(f350,plain,(
% 0.18/0.59 ![A,B]: (((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|v1_xboole_0(B))|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|k3_filter_2(A,B)=k3_filter_0(A,B))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f85])).
% 0.18/0.59 fof(f351,plain,(
% 0.18/0.59 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|k3_filter_2(X0,X1)=k3_filter_0(X0,X1))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f350])).
% 0.18/0.59 fof(f370,plain,(
% 0.18/0.59 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 0.18/0.59 fof(f371,plain,(
% 0.18/0.59 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f370])).
% 0.18/0.59 fof(f372,plain,(
% 0.18/0.59 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: ((v1_xboole_0(C)|~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))|(~r2_hidden(B,C)|r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C))))))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 0.18/0.59 fof(f373,plain,(
% 0.18/0.59 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|v1_xboole_0(X2)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))|~r2_hidden(X1,X2)|r1_tarski(k2_filter_0(X0,X1),k3_filter_0(X0,X2)))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f372])).
% 0.18/0.59 fof(f374,plain,(
% 0.18/0.59 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 0.18/0.59 fof(f375,plain,(
% 0.18/0.59 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f374])).
% 0.18/0.59 fof(f381,plain,(
% 0.18/0.59 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(k18_filter_2(A,B)=k2_filter_2(k1_lattice2(A),k5_filter_2(A,B))&k18_filter_2(k1_lattice2(A),k5_filter_2(A,B))=k2_filter_2(A,B)))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f95])).
% 0.18/0.59 fof(f382,plain,(
% 0.18/0.59 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|k18_filter_2(X0,X1)=k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f381])).
% 0.18/0.59 fof(f384,plain,(
% 0.18/0.59 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((v1_xboole_0(B)|~m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))|(![C]: ((v1_xboole_0(C)|~m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))|(((k3_filter_2(k1_lattice2(A),k7_filter_2(A,B))=k19_filter_2(A,B)&k3_filter_2(A,B)=k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)))&k3_filter_2(A,k8_filter_2(A,C))=k19_filter_2(k1_lattice2(A),C))&k3_filter_2(k1_lattice2(A),C)=k19_filter_2(A,k8_filter_2(A,C))))))))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.18/0.59 fof(f388,plain,(
% 0.18/0.59 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|v1_xboole_0(X2)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))|k3_filter_2(k1_lattice2(X0),X2)=k19_filter_2(X0,k8_filter_2(X0,X2)))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f384])).
% 0.18/0.59 fof(f393,plain,(
% 0.18/0.59 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|m1_subset_1(A,C))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f98])).
% 0.18/0.59 fof(f394,plain,(
% 0.18/0.59 ![A,C]: ((![B]: (~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C))))|m1_subset_1(A,C))),
% 0.18/0.59 inference(miniscoping,[status(esa)],[f393])).
% 0.18/0.59 fof(f395,plain,(
% 0.18/0.59 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|m1_subset_1(X0,X2))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f394])).
% 0.18/0.59 fof(f401,plain,(
% 0.18/0.59 ![A,B]: (~r2_hidden(A,B)|~v1_xboole_0(B))),
% 0.18/0.59 inference(pre_NNF_transformation,[status(esa)],[f101])).
% 0.18/0.59 fof(f402,plain,(
% 0.18/0.59 ![B]: ((![A]: ~r2_hidden(A,B))|~v1_xboole_0(B))),
% 0.18/0.59 inference(miniscoping,[status(esa)],[f401])).
% 0.18/0.59 fof(f403,plain,(
% 0.18/0.59 ![X0,X1]: (~r2_hidden(X0,X1)|~v1_xboole_0(X1))),
% 0.18/0.59 inference(cnf_transformation,[status(esa)],[f402])).
% 0.18/0.59 fof(f411,plain,(
% 0.18/0.59 m1_subset_1(sk0_1,sk0_2)),
% 0.18/0.59 inference(resolution,[status(thm)],[f371,f111])).
% 0.18/0.59 fof(f421,plain,(
% 0.18/0.59 spl0_2 <=> v1_xboole_0(sk0_2)),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f422,plain,(
% 0.18/0.59 v1_xboole_0(sk0_2)|~spl0_2),
% 0.18/0.59 inference(component_clause,[status(thm)],[f421])).
% 0.18/0.59 fof(f424,plain,(
% 0.18/0.59 spl0_3 <=> r2_hidden(sk0_1,sk0_2)),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f427,plain,(
% 0.18/0.59 v1_xboole_0(sk0_2)|r2_hidden(sk0_1,sk0_2)),
% 0.18/0.59 inference(resolution,[status(thm)],[f375,f411])).
% 0.18/0.59 fof(f428,plain,(
% 0.18/0.59 spl0_2|spl0_3),
% 0.18/0.59 inference(split_clause,[status(thm)],[f427,f421,f424])).
% 0.18/0.59 fof(f437,plain,(
% 0.18/0.59 $false|~spl0_2),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f422,f109])).
% 0.18/0.59 fof(f438,plain,(
% 0.18/0.59 ~spl0_2),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f437])).
% 0.18/0.59 fof(f528,plain,(
% 0.18/0.59 spl0_18 <=> v3_struct_0(sk0_0)),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f529,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~spl0_18),
% 0.18/0.59 inference(component_clause,[status(thm)],[f528])).
% 0.18/0.59 fof(f531,plain,(
% 0.18/0.59 spl0_19 <=> v10_lattices(sk0_0)),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f533,plain,(
% 0.18/0.59 ~v10_lattices(sk0_0)|spl0_19),
% 0.18/0.59 inference(component_clause,[status(thm)],[f531])).
% 0.18/0.59 fof(f539,plain,(
% 0.18/0.59 $false|spl0_19),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f533,f106])).
% 0.18/0.59 fof(f540,plain,(
% 0.18/0.59 spl0_19),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f539])).
% 0.18/0.59 fof(f541,plain,(
% 0.18/0.59 $false|~spl0_18),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f529,f105])).
% 0.18/0.59 fof(f542,plain,(
% 0.18/0.59 ~spl0_18),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f541])).
% 0.18/0.59 fof(f802,plain,(
% 0.18/0.59 spl0_49 <=> l3_lattices(sk0_0)),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f804,plain,(
% 0.18/0.59 ~l3_lattices(sk0_0)|spl0_49),
% 0.18/0.59 inference(component_clause,[status(thm)],[f802])).
% 0.18/0.59 fof(f805,plain,(
% 0.18/0.59 spl0_50 <=> k5_filter_2(sk0_0,sk0_1)=sk0_1),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f806,plain,(
% 0.18/0.59 k5_filter_2(sk0_0,sk0_1)=sk0_1|~spl0_50),
% 0.18/0.59 inference(component_clause,[status(thm)],[f805])).
% 0.18/0.59 fof(f808,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|k5_filter_2(sk0_0,sk0_1)=sk0_1),
% 0.18/0.59 inference(resolution,[status(thm)],[f142,f108])).
% 0.18/0.59 fof(f809,plain,(
% 0.18/0.59 spl0_18|~spl0_19|~spl0_49|spl0_50),
% 0.18/0.59 inference(split_clause,[status(thm)],[f808,f528,f531,f802,f805])).
% 0.18/0.59 fof(f815,plain,(
% 0.18/0.59 $false|spl0_49),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f804,f107])).
% 0.18/0.59 fof(f816,plain,(
% 0.18/0.59 spl0_49),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f815])).
% 0.18/0.59 fof(f822,plain,(
% 0.18/0.59 spl0_52 <=> k7_filter_2(sk0_0,sk0_2)=sk0_2),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f823,plain,(
% 0.18/0.59 k7_filter_2(sk0_0,sk0_2)=sk0_2|~spl0_52),
% 0.18/0.59 inference(component_clause,[status(thm)],[f822])).
% 0.18/0.59 fof(f825,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|k7_filter_2(sk0_0,sk0_2)=sk0_2),
% 0.18/0.59 inference(resolution,[status(thm)],[f144,f110])).
% 0.18/0.59 fof(f826,plain,(
% 0.18/0.59 spl0_18|~spl0_19|~spl0_49|spl0_52),
% 0.18/0.59 inference(split_clause,[status(thm)],[f825,f528,f531,f802,f822])).
% 0.18/0.59 fof(f845,plain,(
% 0.18/0.59 spl0_53 <=> m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f847,plain,(
% 0.18/0.59 ~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|spl0_53),
% 0.18/0.59 inference(component_clause,[status(thm)],[f845])).
% 0.18/0.59 fof(f848,plain,(
% 0.18/0.59 spl0_54 <=> m1_subset_1(sk0_1,u1_struct_0(k1_lattice2(sk0_0)))),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f851,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|m1_subset_1(sk0_1,u1_struct_0(k1_lattice2(sk0_0)))|~spl0_50),
% 0.18/0.59 inference(paramodulation,[status(thm)],[f806,f168])).
% 0.18/0.59 fof(f852,plain,(
% 0.18/0.59 spl0_18|~spl0_19|~spl0_49|~spl0_53|spl0_54|~spl0_50),
% 0.18/0.59 inference(split_clause,[status(thm)],[f851,f528,f531,f802,f845,f848,f805])).
% 0.18/0.59 fof(f853,plain,(
% 0.18/0.59 $false|spl0_53),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f847,f108])).
% 0.18/0.59 fof(f854,plain,(
% 0.18/0.59 spl0_53),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f853])).
% 0.18/0.59 fof(f866,plain,(
% 0.18/0.59 spl0_56 <=> k18_filter_2(sk0_0,sk0_1)=k2_filter_2(k1_lattice2(sk0_0),sk0_1)),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f867,plain,(
% 0.18/0.59 k18_filter_2(sk0_0,sk0_1)=k2_filter_2(k1_lattice2(sk0_0),sk0_1)|~spl0_56),
% 0.18/0.59 inference(component_clause,[status(thm)],[f866])).
% 0.18/0.59 fof(f869,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|k18_filter_2(sk0_0,sk0_1)=k2_filter_2(k1_lattice2(sk0_0),sk0_1)|~spl0_50),
% 0.18/0.59 inference(paramodulation,[status(thm)],[f806,f382])).
% 0.18/0.59 fof(f870,plain,(
% 0.18/0.59 spl0_18|~spl0_19|~spl0_49|~spl0_53|spl0_56|~spl0_50),
% 0.18/0.59 inference(split_clause,[status(thm)],[f869,f528,f531,f802,f845,f866,f805])).
% 0.18/0.59 fof(f871,plain,(
% 0.18/0.59 spl0_57 <=> v3_struct_0(k1_lattice2(sk0_0))),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f872,plain,(
% 0.18/0.59 v3_struct_0(k1_lattice2(sk0_0))|~spl0_57),
% 0.18/0.59 inference(component_clause,[status(thm)],[f871])).
% 0.18/0.59 fof(f874,plain,(
% 0.18/0.59 spl0_58 <=> v10_lattices(k1_lattice2(sk0_0))),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f876,plain,(
% 0.18/0.59 ~v10_lattices(k1_lattice2(sk0_0))|spl0_58),
% 0.18/0.59 inference(component_clause,[status(thm)],[f874])).
% 0.18/0.59 fof(f877,plain,(
% 0.18/0.59 spl0_59 <=> l3_lattices(k1_lattice2(sk0_0))),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f879,plain,(
% 0.18/0.59 ~l3_lattices(k1_lattice2(sk0_0))|spl0_59),
% 0.18/0.59 inference(component_clause,[status(thm)],[f877])).
% 0.18/0.59 fof(f880,plain,(
% 0.18/0.59 spl0_60 <=> k18_filter_2(sk0_0,sk0_1)=k2_filter_0(k1_lattice2(sk0_0),sk0_1)),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f881,plain,(
% 0.18/0.59 k18_filter_2(sk0_0,sk0_1)=k2_filter_0(k1_lattice2(sk0_0),sk0_1)|~spl0_60),
% 0.18/0.59 inference(component_clause,[status(thm)],[f880])).
% 0.18/0.59 fof(f883,plain,(
% 0.18/0.59 v3_struct_0(k1_lattice2(sk0_0))|~v10_lattices(k1_lattice2(sk0_0))|~l3_lattices(k1_lattice2(sk0_0))|~m1_subset_1(sk0_1,u1_struct_0(k1_lattice2(sk0_0)))|k18_filter_2(sk0_0,sk0_1)=k2_filter_0(k1_lattice2(sk0_0),sk0_1)|~spl0_56),
% 0.18/0.59 inference(paramodulation,[status(thm)],[f867,f349])).
% 0.18/0.59 fof(f884,plain,(
% 0.18/0.59 spl0_57|~spl0_58|~spl0_59|~spl0_54|spl0_60|~spl0_56),
% 0.18/0.59 inference(split_clause,[status(thm)],[f883,f871,f874,f877,f848,f880,f866])).
% 0.18/0.59 fof(f885,plain,(
% 0.18/0.59 ~l3_lattices(sk0_0)|spl0_59),
% 0.18/0.59 inference(resolution,[status(thm)],[f879,f158])).
% 0.18/0.59 fof(f886,plain,(
% 0.18/0.59 ~spl0_49|spl0_59),
% 0.18/0.59 inference(split_clause,[status(thm)],[f885,f802,f877])).
% 0.18/0.59 fof(f887,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|spl0_58),
% 0.18/0.59 inference(resolution,[status(thm)],[f876,f276])).
% 0.18/0.59 fof(f888,plain,(
% 0.18/0.59 spl0_18|~spl0_19|~spl0_49|spl0_58),
% 0.18/0.59 inference(split_clause,[status(thm)],[f887,f528,f531,f802,f874])).
% 0.18/0.59 fof(f921,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~l3_lattices(sk0_0)|~spl0_57),
% 0.18/0.59 inference(resolution,[status(thm)],[f872,f230])).
% 0.18/0.59 fof(f922,plain,(
% 0.18/0.59 spl0_18|~spl0_49|~spl0_57),
% 0.18/0.59 inference(split_clause,[status(thm)],[f921,f528,f802,f871])).
% 0.18/0.59 fof(f934,plain,(
% 0.18/0.59 spl0_67 <=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f936,plain,(
% 0.18/0.59 ~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_67),
% 0.18/0.59 inference(component_clause,[status(thm)],[f934])).
% 0.18/0.59 fof(f937,plain,(
% 0.18/0.59 spl0_68 <=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f938,plain,(
% 0.18/0.59 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|~spl0_68),
% 0.18/0.59 inference(component_clause,[status(thm)],[f937])).
% 0.18/0.59 fof(f940,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|~spl0_52),
% 0.18/0.59 inference(paramodulation,[status(thm)],[f823,f170])).
% 0.18/0.59 fof(f941,plain,(
% 0.18/0.59 spl0_18|~spl0_19|~spl0_49|~spl0_67|spl0_68|~spl0_52),
% 0.18/0.59 inference(split_clause,[status(thm)],[f940,f528,f531,f802,f934,f937,f822])).
% 0.18/0.59 fof(f942,plain,(
% 0.18/0.59 $false|spl0_67),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f936,f110])).
% 0.18/0.59 fof(f943,plain,(
% 0.18/0.59 spl0_67),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f942])).
% 0.18/0.59 fof(f944,plain,(
% 0.18/0.59 spl0_69 <=> k8_filter_2(sk0_0,sk0_2)=sk0_2),
% 0.18/0.59 introduced(split_symbol_definition)).
% 0.18/0.59 fof(f945,plain,(
% 0.18/0.59 k8_filter_2(sk0_0,sk0_2)=sk0_2|~spl0_69),
% 0.18/0.59 inference(component_clause,[status(thm)],[f944])).
% 0.18/0.59 fof(f947,plain,(
% 0.18/0.59 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|k8_filter_2(sk0_0,sk0_2)=sk0_2|~spl0_68),
% 0.18/0.60 inference(resolution,[status(thm)],[f938,f146])).
% 0.18/0.60 fof(f948,plain,(
% 0.18/0.60 spl0_18|~spl0_19|~spl0_49|spl0_69|~spl0_68),
% 0.18/0.60 inference(split_clause,[status(thm)],[f947,f528,f531,f802,f944,f937])).
% 0.18/0.60 fof(f1595,plain,(
% 0.18/0.60 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~r2_hidden(X2,X1)|r1_tarski(k2_filter_0(X0,X2),k3_filter_0(X0,X1)))),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f373,f395])).
% 0.18/0.60 fof(f1600,plain,(
% 0.18/0.60 spl0_155 <=> v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|~r2_hidden(sk0_1,X0)|r1_tarski(k18_filter_2(sk0_0,sk0_1),k3_filter_0(k1_lattice2(sk0_0),X0))),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f1601,plain,(
% 0.18/0.60 ![X0]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|~r2_hidden(sk0_1,X0)|r1_tarski(k18_filter_2(sk0_0,sk0_1),k3_filter_0(k1_lattice2(sk0_0),X0))|~spl0_155)),
% 0.18/0.60 inference(component_clause,[status(thm)],[f1600])).
% 0.18/0.60 fof(f1603,plain,(
% 0.18/0.60 ![X0]: (v3_struct_0(k1_lattice2(sk0_0))|~v10_lattices(k1_lattice2(sk0_0))|~l3_lattices(k1_lattice2(sk0_0))|v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|~r2_hidden(sk0_1,X0)|r1_tarski(k18_filter_2(sk0_0,sk0_1),k3_filter_0(k1_lattice2(sk0_0),X0))|~spl0_60)),
% 0.18/0.60 inference(paramodulation,[status(thm)],[f881,f1595])).
% 0.18/0.60 fof(f1604,plain,(
% 0.18/0.60 spl0_57|~spl0_58|~spl0_59|spl0_155|~spl0_60),
% 0.18/0.60 inference(split_clause,[status(thm)],[f1603,f871,f874,f877,f1600,f880])).
% 0.18/0.60 fof(f1605,plain,(
% 0.18/0.60 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|~r2_hidden(sk0_1,X0)|r1_tarski(k18_filter_2(sk0_0,sk0_1),k3_filter_0(k1_lattice2(sk0_0),X0))|~spl0_155)),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f1601,f403])).
% 0.18/0.60 fof(f1623,plain,(
% 0.18/0.60 spl0_160 <=> v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f1624,plain,(
% 0.18/0.60 ![X0]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_160)),
% 0.18/0.60 inference(component_clause,[status(thm)],[f1623])).
% 0.18/0.60 fof(f1626,plain,(
% 0.18/0.60 spl0_161 <=> k3_filter_2(k1_lattice2(sk0_0),sk0_2)=k19_filter_2(sk0_0,sk0_2)),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f1627,plain,(
% 0.18/0.60 k3_filter_2(k1_lattice2(sk0_0),sk0_2)=k19_filter_2(sk0_0,sk0_2)|~spl0_161),
% 0.18/0.60 inference(component_clause,[status(thm)],[f1626])).
% 0.18/0.60 fof(f1629,plain,(
% 0.18/0.60 ![X0]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|v1_xboole_0(sk0_2)|~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|k3_filter_2(k1_lattice2(sk0_0),sk0_2)=k19_filter_2(sk0_0,sk0_2)|~spl0_69)),
% 0.18/0.60 inference(paramodulation,[status(thm)],[f945,f388])).
% 0.18/0.60 fof(f1630,plain,(
% 0.18/0.60 spl0_18|~spl0_19|~spl0_49|spl0_160|spl0_2|~spl0_68|spl0_161|~spl0_69),
% 0.18/0.60 inference(split_clause,[status(thm)],[f1629,f528,f531,f802,f1623,f421,f937,f1626,f944])).
% 0.18/0.60 fof(f1672,plain,(
% 0.18/0.60 v1_xboole_0(sk0_2)|~spl0_160),
% 0.18/0.60 inference(resolution,[status(thm)],[f1624,f110])).
% 0.18/0.60 fof(f1673,plain,(
% 0.18/0.60 spl0_2|~spl0_160),
% 0.18/0.60 inference(split_clause,[status(thm)],[f1672,f421,f1623])).
% 0.18/0.60 fof(f1686,plain,(
% 0.18/0.60 spl0_174 <=> k19_filter_2(sk0_0,sk0_2)=k3_filter_0(k1_lattice2(sk0_0),sk0_2)),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f1687,plain,(
% 0.18/0.60 k19_filter_2(sk0_0,sk0_2)=k3_filter_0(k1_lattice2(sk0_0),sk0_2)|~spl0_174),
% 0.18/0.60 inference(component_clause,[status(thm)],[f1686])).
% 0.18/0.60 fof(f1689,plain,(
% 0.18/0.60 v3_struct_0(k1_lattice2(sk0_0))|~v10_lattices(k1_lattice2(sk0_0))|~l3_lattices(k1_lattice2(sk0_0))|v1_xboole_0(sk0_2)|~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|k19_filter_2(sk0_0,sk0_2)=k3_filter_0(k1_lattice2(sk0_0),sk0_2)|~spl0_161),
% 0.18/0.60 inference(paramodulation,[status(thm)],[f1627,f351])).
% 0.18/0.60 fof(f1690,plain,(
% 0.18/0.60 spl0_57|~spl0_58|~spl0_59|spl0_2|~spl0_68|spl0_174|~spl0_161),
% 0.18/0.60 inference(split_clause,[status(thm)],[f1689,f871,f874,f877,f421,f937,f1686,f1626])).
% 0.18/0.60 fof(f1692,plain,(
% 0.18/0.60 spl0_175 <=> r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))),
% 0.18/0.60 introduced(split_symbol_definition)).
% 0.18/0.60 fof(f1693,plain,(
% 0.18/0.60 r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))|~spl0_175),
% 0.18/0.60 inference(component_clause,[status(thm)],[f1692])).
% 0.18/0.60 fof(f1695,plain,(
% 0.18/0.60 ~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|~r2_hidden(sk0_1,sk0_2)|r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))|~spl0_155|~spl0_174),
% 0.18/0.60 inference(paramodulation,[status(thm)],[f1687,f1605])).
% 0.18/0.60 fof(f1696,plain,(
% 0.18/0.60 ~spl0_68|~spl0_3|spl0_175|~spl0_155|~spl0_174),
% 0.18/0.60 inference(split_clause,[status(thm)],[f1695,f937,f424,f1692,f1600,f1686])).
% 0.18/0.60 fof(f1707,plain,(
% 0.18/0.60 $false|~spl0_175),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f1693,f112])).
% 0.18/0.60 fof(f1708,plain,(
% 0.18/0.60 ~spl0_175),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f1707])).
% 0.18/0.60 fof(f1709,plain,(
% 0.18/0.60 $false),
% 0.18/0.60 inference(sat_refutation,[status(thm)],[f428,f438,f540,f542,f809,f816,f826,f852,f854,f870,f884,f886,f888,f922,f941,f943,f948,f1604,f1630,f1673,f1690,f1696,f1708])).
% 0.18/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.62 % Elapsed time: 0.277471 seconds
% 0.18/0.62 % CPU time: 1.497376 seconds
% 0.18/0.62 % Memory used: 66.776 MB
%------------------------------------------------------------------------------