TSTP Solution File: LAT311+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:25:45 EDT 2024
% Result : Theorem 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT311+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n029.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 20:20:19 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.17/0.44 % Refutation found
% 0.17/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.44 fof(f1,conjecture,(
% 0.17/0.44 (! [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)) ) ) )) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f2,negated_conjecture,(
% 0.17/0.44 ~((! [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)) ) ) )) )) ))),
% 0.17/0.44 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.44 fof(f12,axiom,(
% 0.17/0.44 (! [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 ) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f13,axiom,(
% 0.17/0.44 (! [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 ) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f14,axiom,(
% 0.17/0.44 (! [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 ) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f19,axiom,(
% 0.17/0.44 (! [A] :( l3_lattices(A)=> ( v3_lattices(k1_lattice2(A))& l3_lattices(k1_lattice2(A)) ) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f27,axiom,(
% 0.17/0.44 (! [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))) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f28,axiom,(
% 0.17/0.44 (! [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)))) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f56,axiom,(
% 0.17/0.44 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A)) ) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f58,axiom,(
% 0.17/0.44 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f67,axiom,(
% 0.17/0.44 (! [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)) ) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f74,axiom,(
% 0.17/0.44 (? [A] : v1_xboole_0(A) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f75,axiom,(
% 0.17/0.44 (? [A] :( v1_relat_1(A)& v1_xboole_0(A)& v1_funct_1(A) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f84,axiom,(
% 0.17/0.44 (! [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) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f85,axiom,(
% 0.17/0.44 (! [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) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f91,axiom,(
% 0.17/0.44 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f92,axiom,(
% 0.17/0.44 (! [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)) ) ) )) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f93,axiom,(
% 0.17/0.44 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f95,axiom,(
% 0.17/0.44 (! [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) ) ) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f96,axiom,(
% 0.17/0.44 (! [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)) ) ) )) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f98,axiom,(
% 0.17/0.44 (! [A,B,C] :( ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C)) )=> m1_subset_1(A,C) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f100,axiom,(
% 0.17/0.44 (! [A] :( v1_xboole_0(A)=> A = k1_xboole_0 ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f102,axiom,(
% 0.17/0.44 (! [A,B] :~ ( v1_xboole_0(A)& A != B& v1_xboole_0(B) ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f103,plain,(
% 0.17/0.44 (?[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)))))))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.17/0.44 fof(f104,plain,(
% 0.17/0.44 (((~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))))))),
% 0.17/0.44 inference(skolemization,[status(esa)],[f103])).
% 0.17/0.44 fof(f105,plain,(
% 0.17/0.44 ~v3_struct_0(sk0_0)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.44 fof(f106,plain,(
% 0.17/0.44 v10_lattices(sk0_0)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.44 fof(f107,plain,(
% 0.17/0.44 l3_lattices(sk0_0)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.44 fof(f108,plain,(
% 0.17/0.44 m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.44 fof(f109,plain,(
% 0.17/0.44 ~v1_xboole_0(sk0_2)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.44 fof(f110,plain,(
% 0.17/0.44 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.44 fof(f111,plain,(
% 0.17/0.44 r2_hidden(sk0_1,sk0_2)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.44 fof(f112,plain,(
% 0.17/0.44 ~r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f104])).
% 0.17/0.44 fof(f141,plain,(
% 0.17/0.44 ![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)))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.17/0.44 fof(f142,plain,(
% 0.17/0.44 ![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)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f141])).
% 0.17/0.44 fof(f143,plain,(
% 0.17/0.44 ![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)))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.17/0.44 fof(f144,plain,(
% 0.17/0.44 ![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)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f143])).
% 0.17/0.44 fof(f145,plain,(
% 0.17/0.44 ![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)))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.17/0.44 fof(f146,plain,(
% 0.17/0.44 ![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)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f145])).
% 0.17/0.44 fof(f156,plain,(
% 0.17/0.44 ![A]: (~l3_lattices(A)|(v3_lattices(k1_lattice2(A))&l3_lattices(k1_lattice2(A))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.17/0.44 fof(f158,plain,(
% 0.17/0.44 ![X0]: (~l3_lattices(X0)|l3_lattices(k1_lattice2(X0)))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f156])).
% 0.17/0.44 fof(f167,plain,(
% 0.17/0.44 ![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))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.17/0.44 fof(f168,plain,(
% 0.17/0.44 ![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))))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f167])).
% 0.17/0.44 fof(f169,plain,(
% 0.17/0.44 ![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)))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.17/0.44 fof(f170,plain,(
% 0.17/0.44 ![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)))))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f169])).
% 0.17/0.44 fof(f229,plain,(
% 0.17/0.44 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 0.17/0.44 fof(f230,plain,(
% 0.17/0.44 ![X0]: (v3_struct_0(X0)|~l3_lattices(X0)|~v3_struct_0(k1_lattice2(X0)))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f229])).
% 0.17/0.44 fof(f234,plain,(
% 0.17/0.44 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f58])).
% 0.17/0.44 fof(f267,plain,(
% 0.17/0.44 ![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))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.17/0.44 fof(f276,plain,(
% 0.17/0.44 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v10_lattices(k1_lattice2(X0)))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f267])).
% 0.17/0.44 fof(f308,plain,(
% 0.17/0.44 v1_xboole_0(sk0_19)),
% 0.17/0.44 inference(skolemization,[status(esa)],[f74])).
% 0.17/0.44 fof(f309,plain,(
% 0.17/0.44 v1_xboole_0(sk0_19)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f308])).
% 0.17/0.44 fof(f310,plain,(
% 0.17/0.44 ((v1_relat_1(sk0_20)&v1_xboole_0(sk0_20))&v1_funct_1(sk0_20))),
% 0.17/0.44 inference(skolemization,[status(esa)],[f75])).
% 0.17/0.44 fof(f312,plain,(
% 0.17/0.44 v1_xboole_0(sk0_20)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f310])).
% 0.17/0.44 fof(f348,plain,(
% 0.17/0.44 ![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))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.17/0.44 fof(f349,plain,(
% 0.17/0.44 ![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))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f348])).
% 0.17/0.44 fof(f350,plain,(
% 0.17/0.44 ![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))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f85])).
% 0.17/0.44 fof(f351,plain,(
% 0.17/0.44 ![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))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f350])).
% 0.17/0.44 fof(f370,plain,(
% 0.17/0.44 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 0.17/0.44 fof(f371,plain,(
% 0.17/0.44 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f370])).
% 0.17/0.44 fof(f372,plain,(
% 0.17/0.44 ![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))))))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 0.17/0.44 fof(f373,plain,(
% 0.17/0.44 ![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)))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f372])).
% 0.17/0.44 fof(f374,plain,(
% 0.17/0.44 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f93])).
% 0.17/0.44 fof(f375,plain,(
% 0.17/0.44 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f374])).
% 0.17/0.44 fof(f381,plain,(
% 0.17/0.44 ![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)))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f95])).
% 0.17/0.44 fof(f382,plain,(
% 0.17/0.44 ![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)))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f381])).
% 0.17/0.44 fof(f384,plain,(
% 0.17/0.44 ![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))))))))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.17/0.44 fof(f388,plain,(
% 0.17/0.44 ![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)))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f384])).
% 0.17/0.44 fof(f393,plain,(
% 0.17/0.44 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|m1_subset_1(A,C))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f98])).
% 0.17/0.44 fof(f394,plain,(
% 0.17/0.44 ![A,C]: ((![B]: (~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C))))|m1_subset_1(A,C))),
% 0.17/0.44 inference(miniscoping,[status(esa)],[f393])).
% 0.17/0.44 fof(f395,plain,(
% 0.17/0.44 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|m1_subset_1(X0,X2))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f394])).
% 0.17/0.44 fof(f399,plain,(
% 0.17/0.44 ![A]: (~v1_xboole_0(A)|A=k1_xboole_0)),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f100])).
% 0.17/0.44 fof(f400,plain,(
% 0.17/0.44 ![X0]: (~v1_xboole_0(X0)|X0=k1_xboole_0)),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f399])).
% 0.17/0.44 fof(f404,plain,(
% 0.17/0.44 ![A,B]: ((~v1_xboole_0(A)|A=B)|~v1_xboole_0(B))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(esa)],[f102])).
% 0.17/0.44 fof(f405,plain,(
% 0.17/0.44 ![B]: ((![A]: (~v1_xboole_0(A)|A=B))|~v1_xboole_0(B))),
% 0.17/0.44 inference(miniscoping,[status(esa)],[f404])).
% 0.17/0.44 fof(f406,plain,(
% 0.17/0.44 ![X0,X1]: (~v1_xboole_0(X0)|X0=X1|~v1_xboole_0(X1))),
% 0.17/0.44 inference(cnf_transformation,[status(esa)],[f405])).
% 0.17/0.44 fof(f411,plain,(
% 0.17/0.44 m1_subset_1(sk0_1,sk0_2)),
% 0.17/0.44 inference(resolution,[status(thm)],[f371,f111])).
% 0.17/0.44 fof(f413,plain,(
% 0.17/0.44 spl0_0 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f414,plain,(
% 0.17/0.44 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_0),
% 0.17/0.44 inference(component_clause,[status(thm)],[f413])).
% 0.17/0.44 fof(f416,plain,(
% 0.17/0.44 spl0_1 <=> r2_hidden(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f417,plain,(
% 0.17/0.44 r2_hidden(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_1),
% 0.17/0.44 inference(component_clause,[status(thm)],[f416])).
% 0.17/0.44 fof(f419,plain,(
% 0.17/0.44 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|r2_hidden(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.17/0.44 inference(resolution,[status(thm)],[f375,f110])).
% 0.17/0.44 fof(f420,plain,(
% 0.17/0.44 spl0_0|spl0_1),
% 0.17/0.44 inference(split_clause,[status(thm)],[f419,f413,f416])).
% 0.17/0.44 fof(f421,plain,(
% 0.17/0.44 spl0_2 <=> v1_xboole_0(sk0_2)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f422,plain,(
% 0.17/0.44 v1_xboole_0(sk0_2)|~spl0_2),
% 0.17/0.44 inference(component_clause,[status(thm)],[f421])).
% 0.17/0.44 fof(f424,plain,(
% 0.17/0.44 spl0_3 <=> r2_hidden(sk0_1,sk0_2)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f427,plain,(
% 0.17/0.44 v1_xboole_0(sk0_2)|r2_hidden(sk0_1,sk0_2)),
% 0.17/0.44 inference(resolution,[status(thm)],[f375,f411])).
% 0.17/0.44 fof(f428,plain,(
% 0.17/0.44 spl0_2|spl0_3),
% 0.17/0.44 inference(split_clause,[status(thm)],[f427,f421,f424])).
% 0.17/0.44 fof(f437,plain,(
% 0.17/0.44 $false|~spl0_2),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f422,f109])).
% 0.17/0.44 fof(f438,plain,(
% 0.17/0.44 ~spl0_2),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f437])).
% 0.17/0.44 fof(f439,plain,(
% 0.17/0.44 ![X0]: (~v1_xboole_0(X0)|X0=sk0_19)),
% 0.17/0.44 inference(resolution,[status(thm)],[f309,f406])).
% 0.17/0.44 fof(f448,plain,(
% 0.17/0.44 sk0_20=sk0_19),
% 0.17/0.44 inference(resolution,[status(thm)],[f439,f312])).
% 0.17/0.44 fof(f496,plain,(
% 0.17/0.44 spl0_18 <=> v3_struct_0(sk0_0)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f497,plain,(
% 0.17/0.44 v3_struct_0(sk0_0)|~spl0_18),
% 0.17/0.44 inference(component_clause,[status(thm)],[f496])).
% 0.17/0.44 fof(f499,plain,(
% 0.17/0.44 spl0_19 <=> v10_lattices(sk0_0)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f501,plain,(
% 0.17/0.44 ~v10_lattices(sk0_0)|spl0_19),
% 0.17/0.44 inference(component_clause,[status(thm)],[f499])).
% 0.17/0.44 fof(f507,plain,(
% 0.17/0.44 $false|spl0_19),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f501,f106])).
% 0.17/0.44 fof(f508,plain,(
% 0.17/0.44 spl0_19),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f507])).
% 0.17/0.44 fof(f511,plain,(
% 0.17/0.44 $false|~spl0_18),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f497,f105])).
% 0.17/0.44 fof(f512,plain,(
% 0.17/0.44 ~spl0_18),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f511])).
% 0.17/0.44 fof(f522,plain,(
% 0.17/0.44 spl0_21 <=> l3_lattices(sk0_0)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f524,plain,(
% 0.17/0.44 ~l3_lattices(sk0_0)|spl0_21),
% 0.17/0.44 inference(component_clause,[status(thm)],[f522])).
% 0.17/0.44 fof(f533,plain,(
% 0.17/0.44 $false|spl0_21),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f524,f107])).
% 0.17/0.44 fof(f534,plain,(
% 0.17/0.44 spl0_21),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f533])).
% 0.17/0.44 fof(f537,plain,(
% 0.17/0.44 k1_zfmisc_1(u1_struct_0(sk0_0))=k1_xboole_0|~spl0_0),
% 0.17/0.44 inference(resolution,[status(thm)],[f414,f400])).
% 0.17/0.44 fof(f563,plain,(
% 0.17/0.44 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_1),
% 0.17/0.44 inference(resolution,[status(thm)],[f417,f371])).
% 0.17/0.44 fof(f574,plain,(
% 0.17/0.44 v1_xboole_0(sk0_19)),
% 0.17/0.44 inference(backward_demodulation,[status(thm)],[f448,f312])).
% 0.17/0.44 fof(f576,plain,(
% 0.17/0.44 sk0_19=k1_xboole_0),
% 0.17/0.44 inference(resolution,[status(thm)],[f574,f400])).
% 0.17/0.44 fof(f603,plain,(
% 0.17/0.44 v1_xboole_0(k1_xboole_0)),
% 0.17/0.44 inference(backward_demodulation,[status(thm)],[f576,f574])).
% 0.17/0.44 fof(f704,plain,(
% 0.17/0.44 ~v1_xboole_0(k1_xboole_0)|~spl0_0),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f537,f234])).
% 0.17/0.44 fof(f705,plain,(
% 0.17/0.44 $false|~spl0_0),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f704,f603])).
% 0.17/0.44 fof(f706,plain,(
% 0.17/0.44 ~spl0_0),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f705])).
% 0.17/0.44 fof(f781,plain,(
% 0.17/0.44 spl0_45 <=> k5_filter_2(sk0_0,sk0_1)=sk0_1),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f782,plain,(
% 0.17/0.44 k5_filter_2(sk0_0,sk0_1)=sk0_1|~spl0_45),
% 0.17/0.44 inference(component_clause,[status(thm)],[f781])).
% 0.17/0.44 fof(f784,plain,(
% 0.17/0.44 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|k5_filter_2(sk0_0,sk0_1)=sk0_1),
% 0.17/0.44 inference(resolution,[status(thm)],[f142,f108])).
% 0.17/0.44 fof(f785,plain,(
% 0.17/0.44 spl0_18|~spl0_19|~spl0_21|spl0_45),
% 0.17/0.44 inference(split_clause,[status(thm)],[f784,f496,f499,f522,f781])).
% 0.17/0.44 fof(f791,plain,(
% 0.17/0.44 spl0_47 <=> k7_filter_2(sk0_0,sk0_2)=sk0_2),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f792,plain,(
% 0.17/0.44 k7_filter_2(sk0_0,sk0_2)=sk0_2|~spl0_47),
% 0.17/0.44 inference(component_clause,[status(thm)],[f791])).
% 0.17/0.44 fof(f794,plain,(
% 0.17/0.44 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|k7_filter_2(sk0_0,sk0_2)=sk0_2|~spl0_1),
% 0.17/0.44 inference(resolution,[status(thm)],[f144,f563])).
% 0.17/0.44 fof(f795,plain,(
% 0.17/0.44 spl0_18|~spl0_19|~spl0_21|spl0_47|~spl0_1),
% 0.17/0.44 inference(split_clause,[status(thm)],[f794,f496,f499,f522,f791,f416])).
% 0.17/0.44 fof(f875,plain,(
% 0.17/0.44 spl0_58 <=> m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f877,plain,(
% 0.17/0.44 ~m1_subset_1(sk0_1,u1_struct_0(sk0_0))|spl0_58),
% 0.17/0.44 inference(component_clause,[status(thm)],[f875])).
% 0.17/0.44 fof(f878,plain,(
% 0.17/0.44 spl0_59 <=> k18_filter_2(sk0_0,sk0_1)=k2_filter_2(k1_lattice2(sk0_0),sk0_1)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f879,plain,(
% 0.17/0.44 k18_filter_2(sk0_0,sk0_1)=k2_filter_2(k1_lattice2(sk0_0),sk0_1)|~spl0_59),
% 0.17/0.44 inference(component_clause,[status(thm)],[f878])).
% 0.17/0.44 fof(f881,plain,(
% 0.17/0.44 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_45),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f782,f382])).
% 0.17/0.44 fof(f882,plain,(
% 0.17/0.44 spl0_18|~spl0_19|~spl0_21|~spl0_58|spl0_59|~spl0_45),
% 0.17/0.44 inference(split_clause,[status(thm)],[f881,f496,f499,f522,f875,f878,f781])).
% 0.17/0.44 fof(f883,plain,(
% 0.17/0.44 spl0_60 <=> m1_subset_1(sk0_1,u1_struct_0(k1_lattice2(sk0_0)))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f886,plain,(
% 0.17/0.44 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_45),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f782,f168])).
% 0.17/0.44 fof(f887,plain,(
% 0.17/0.44 spl0_18|~spl0_19|~spl0_21|~spl0_58|spl0_60|~spl0_45),
% 0.17/0.44 inference(split_clause,[status(thm)],[f886,f496,f499,f522,f875,f883,f781])).
% 0.17/0.44 fof(f888,plain,(
% 0.17/0.44 $false|spl0_58),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f877,f108])).
% 0.17/0.44 fof(f889,plain,(
% 0.17/0.44 spl0_58),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f888])).
% 0.17/0.44 fof(f890,plain,(
% 0.17/0.44 spl0_61 <=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f892,plain,(
% 0.17/0.44 ~m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_61),
% 0.17/0.44 inference(component_clause,[status(thm)],[f890])).
% 0.17/0.44 fof(f893,plain,(
% 0.17/0.44 spl0_62 <=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f894,plain,(
% 0.17/0.44 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sk0_0))))|~spl0_62),
% 0.17/0.44 inference(component_clause,[status(thm)],[f893])).
% 0.17/0.44 fof(f896,plain,(
% 0.17/0.44 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_47),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f792,f170])).
% 0.17/0.44 fof(f897,plain,(
% 0.17/0.44 spl0_18|~spl0_19|~spl0_21|~spl0_61|spl0_62|~spl0_47),
% 0.17/0.44 inference(split_clause,[status(thm)],[f896,f496,f499,f522,f890,f893,f791])).
% 0.17/0.44 fof(f898,plain,(
% 0.17/0.44 $false|~spl0_1|spl0_61),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f892,f563])).
% 0.17/0.44 fof(f899,plain,(
% 0.17/0.44 ~spl0_1|spl0_61),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f898])).
% 0.17/0.44 fof(f900,plain,(
% 0.17/0.44 spl0_63 <=> k8_filter_2(sk0_0,sk0_2)=sk0_2),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f901,plain,(
% 0.17/0.44 k8_filter_2(sk0_0,sk0_2)=sk0_2|~spl0_63),
% 0.17/0.44 inference(component_clause,[status(thm)],[f900])).
% 0.17/0.44 fof(f903,plain,(
% 0.17/0.44 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|k8_filter_2(sk0_0,sk0_2)=sk0_2|~spl0_62),
% 0.17/0.44 inference(resolution,[status(thm)],[f894,f146])).
% 0.17/0.44 fof(f904,plain,(
% 0.17/0.44 spl0_18|~spl0_19|~spl0_21|spl0_63|~spl0_62),
% 0.17/0.44 inference(split_clause,[status(thm)],[f903,f496,f499,f522,f900,f893])).
% 0.17/0.44 fof(f905,plain,(
% 0.17/0.44 spl0_64 <=> v3_struct_0(k1_lattice2(sk0_0))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f906,plain,(
% 0.17/0.44 v3_struct_0(k1_lattice2(sk0_0))|~spl0_64),
% 0.17/0.44 inference(component_clause,[status(thm)],[f905])).
% 0.17/0.44 fof(f908,plain,(
% 0.17/0.44 spl0_65 <=> v10_lattices(k1_lattice2(sk0_0))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f910,plain,(
% 0.17/0.44 ~v10_lattices(k1_lattice2(sk0_0))|spl0_65),
% 0.17/0.44 inference(component_clause,[status(thm)],[f908])).
% 0.17/0.44 fof(f911,plain,(
% 0.17/0.44 spl0_66 <=> l3_lattices(k1_lattice2(sk0_0))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f913,plain,(
% 0.17/0.44 ~l3_lattices(k1_lattice2(sk0_0))|spl0_66),
% 0.17/0.44 inference(component_clause,[status(thm)],[f911])).
% 0.17/0.44 fof(f936,plain,(
% 0.17/0.44 ~l3_lattices(sk0_0)|spl0_66),
% 0.17/0.44 inference(resolution,[status(thm)],[f913,f158])).
% 0.17/0.44 fof(f937,plain,(
% 0.17/0.44 ~spl0_21|spl0_66),
% 0.17/0.44 inference(split_clause,[status(thm)],[f936,f522,f911])).
% 0.17/0.44 fof(f938,plain,(
% 0.17/0.44 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|spl0_65),
% 0.17/0.44 inference(resolution,[status(thm)],[f910,f276])).
% 0.17/0.44 fof(f939,plain,(
% 0.17/0.44 spl0_18|~spl0_19|~spl0_21|spl0_65),
% 0.17/0.44 inference(split_clause,[status(thm)],[f938,f496,f499,f522,f908])).
% 0.17/0.44 fof(f970,plain,(
% 0.17/0.44 v3_struct_0(sk0_0)|~l3_lattices(sk0_0)|~spl0_64),
% 0.17/0.44 inference(resolution,[status(thm)],[f906,f230])).
% 0.17/0.44 fof(f971,plain,(
% 0.17/0.44 spl0_18|~spl0_21|~spl0_64),
% 0.17/0.44 inference(split_clause,[status(thm)],[f970,f496,f522,f905])).
% 0.17/0.44 fof(f974,plain,(
% 0.17/0.44 spl0_77 <=> k18_filter_2(sk0_0,sk0_1)=k2_filter_0(k1_lattice2(sk0_0),sk0_1)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f975,plain,(
% 0.17/0.44 k18_filter_2(sk0_0,sk0_1)=k2_filter_0(k1_lattice2(sk0_0),sk0_1)|~spl0_77),
% 0.17/0.44 inference(component_clause,[status(thm)],[f974])).
% 0.17/0.44 fof(f977,plain,(
% 0.17/0.44 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_59),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f879,f349])).
% 0.17/0.44 fof(f978,plain,(
% 0.17/0.44 spl0_64|~spl0_65|~spl0_66|~spl0_60|spl0_77|~spl0_59),
% 0.17/0.44 inference(split_clause,[status(thm)],[f977,f905,f908,f911,f883,f974,f878])).
% 0.17/0.44 fof(f1119,plain,(
% 0.17/0.44 ![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)))),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f373,f395])).
% 0.17/0.44 fof(f1130,plain,(
% 0.17/0.44 spl0_99 <=> v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f1131,plain,(
% 0.17/0.44 ![X0]: (v1_xboole_0(X0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_99)),
% 0.17/0.44 inference(component_clause,[status(thm)],[f1130])).
% 0.17/0.44 fof(f1133,plain,(
% 0.17/0.44 spl0_100 <=> k3_filter_2(k1_lattice2(sk0_0),sk0_2)=k19_filter_2(sk0_0,sk0_2)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f1134,plain,(
% 0.17/0.44 k3_filter_2(k1_lattice2(sk0_0),sk0_2)=k19_filter_2(sk0_0,sk0_2)|~spl0_100),
% 0.17/0.44 inference(component_clause,[status(thm)],[f1133])).
% 0.17/0.44 fof(f1136,plain,(
% 0.17/0.44 ![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_63)),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f901,f388])).
% 0.17/0.44 fof(f1137,plain,(
% 0.17/0.44 spl0_18|~spl0_19|~spl0_21|spl0_99|spl0_2|~spl0_62|spl0_100|~spl0_63),
% 0.17/0.44 inference(split_clause,[status(thm)],[f1136,f496,f499,f522,f1130,f421,f893,f1133,f900])).
% 0.17/0.44 fof(f1205,plain,(
% 0.17/0.44 v1_xboole_0(sk0_2)|~spl0_99|~spl0_1),
% 0.17/0.44 inference(resolution,[status(thm)],[f1131,f563])).
% 0.17/0.44 fof(f1206,plain,(
% 0.17/0.44 spl0_2|~spl0_99|~spl0_1),
% 0.17/0.44 inference(split_clause,[status(thm)],[f1205,f421,f1130,f416])).
% 0.17/0.44 fof(f1225,plain,(
% 0.17/0.44 spl0_111 <=> k19_filter_2(sk0_0,sk0_2)=k3_filter_0(k1_lattice2(sk0_0),sk0_2)),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f1226,plain,(
% 0.17/0.44 k19_filter_2(sk0_0,sk0_2)=k3_filter_0(k1_lattice2(sk0_0),sk0_2)|~spl0_111),
% 0.17/0.44 inference(component_clause,[status(thm)],[f1225])).
% 0.17/0.44 fof(f1228,plain,(
% 0.17/0.44 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_100),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f1134,f351])).
% 0.17/0.44 fof(f1229,plain,(
% 0.17/0.44 spl0_64|~spl0_65|~spl0_66|spl0_2|~spl0_62|spl0_111|~spl0_100),
% 0.17/0.44 inference(split_clause,[status(thm)],[f1228,f905,f908,f911,f421,f893,f1225,f1133])).
% 0.17/0.44 fof(f1230,plain,(
% 0.17/0.44 spl0_112 <=> ~r2_hidden(X0,sk0_2)|r1_tarski(k2_filter_0(k1_lattice2(sk0_0),X0),k19_filter_2(sk0_0,sk0_2))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f1231,plain,(
% 0.17/0.44 ![X0]: (~r2_hidden(X0,sk0_2)|r1_tarski(k2_filter_0(k1_lattice2(sk0_0),X0),k19_filter_2(sk0_0,sk0_2))|~spl0_112)),
% 0.17/0.44 inference(component_clause,[status(thm)],[f1230])).
% 0.17/0.44 fof(f1233,plain,(
% 0.17/0.44 ![X0]: (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))))|~r2_hidden(X0,sk0_2)|r1_tarski(k2_filter_0(k1_lattice2(sk0_0),X0),k19_filter_2(sk0_0,sk0_2))|~spl0_111)),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f1226,f1119])).
% 0.17/0.44 fof(f1234,plain,(
% 0.17/0.44 spl0_64|~spl0_65|~spl0_66|spl0_2|~spl0_62|spl0_112|~spl0_111),
% 0.17/0.44 inference(split_clause,[status(thm)],[f1233,f905,f908,f911,f421,f893,f1230,f1225])).
% 0.17/0.44 fof(f1244,plain,(
% 0.17/0.44 spl0_115 <=> r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))),
% 0.17/0.44 introduced(split_symbol_definition)).
% 0.17/0.44 fof(f1245,plain,(
% 0.17/0.44 r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))|~spl0_115),
% 0.17/0.44 inference(component_clause,[status(thm)],[f1244])).
% 0.17/0.44 fof(f1247,plain,(
% 0.17/0.44 ~r2_hidden(sk0_1,sk0_2)|r1_tarski(k18_filter_2(sk0_0,sk0_1),k19_filter_2(sk0_0,sk0_2))|~spl0_112|~spl0_77),
% 0.17/0.44 inference(paramodulation,[status(thm)],[f975,f1231])).
% 0.17/0.44 fof(f1248,plain,(
% 0.17/0.44 ~spl0_3|spl0_115|~spl0_112|~spl0_77),
% 0.17/0.44 inference(split_clause,[status(thm)],[f1247,f424,f1244,f1230,f974])).
% 0.17/0.44 fof(f1249,plain,(
% 0.17/0.44 $false|~spl0_115),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1245,f112])).
% 0.17/0.44 fof(f1250,plain,(
% 0.17/0.44 ~spl0_115),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f1249])).
% 0.17/0.44 fof(f1251,plain,(
% 0.17/0.44 $false),
% 0.17/0.44 inference(sat_refutation,[status(thm)],[f420,f428,f438,f508,f512,f534,f706,f785,f795,f882,f887,f889,f897,f899,f904,f937,f939,f971,f978,f1137,f1206,f1229,f1234,f1248,f1250])).
% 0.17/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.46 % Elapsed time: 0.114717 seconds
% 0.17/0.46 % CPU time: 0.724724 seconds
% 0.17/0.46 % Total memory used: 68.751 MB
% 0.17/0.46 % Net memory used: 68.425 MB
%------------------------------------------------------------------------------