TSTP Solution File: LAT313+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 0.08s 0.31s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 29 20:01:35 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.30 % Drodi V3.6.0
% 0.08/0.31 % Refutation found
% 0.08/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.31 fof(f1,conjecture,(
% 0.08/0.31 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> ( ( v14_lattices(A)& r2_hidden(k6_lattices(A),B) )=> ( r1_filter_2(u1_struct_0(A),B,k17_filter_2(A))& B = u1_struct_0(A) ) ) ) )) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f2,negated_conjecture,(
% 0.08/0.31 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> ( ( v14_lattices(A)& r2_hidden(k6_lattices(A),B) )=> ( r1_filter_2(u1_struct_0(A),B,k17_filter_2(A))& B = u1_struct_0(A) ) ) ) )) ))),
% 0.08/0.31 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.31 fof(f7,axiom,(
% 0.08/0.31 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> k17_filter_2(A) = u1_struct_0(A) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f8,axiom,(
% 0.08/0.31 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> m2_filter_2(k17_filter_2(A),A) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f18,axiom,(
% 0.08/0.31 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> ( ~ v1_xboole_0(B)& m2_lattice4(B,A) ) ) )) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f19,axiom,(
% 0.08/0.31 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_lattice4(B,A)=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) )) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f29,axiom,(
% 0.08/0.31 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f34,axiom,(
% 0.08/0.31 (! [A] :(? [B] :( m1_subset_1(B,k1_zfmisc_1(A))& v1_xboole_0(B) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f36,axiom,(
% 0.08/0.31 (? [A] :( l1_struct_0(A)& ~ v3_struct_0(A) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f38,axiom,(
% 0.08/0.31 (! [A,B,C] :( ( ~ v1_xboole_0(A)& m1_subset_1(B,k1_zfmisc_1(A))& m1_subset_1(C,k1_zfmisc_1(A)) )=> ( r1_filter_2(A,B,C)<=> B = C ) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f40,axiom,(
% 0.08/0.31 (! [A,B] : r1_tarski(A,A) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f41,axiom,(
% 0.08/0.31 (! [A,B,C] :( ( ~ v1_xboole_0(A)& m1_subset_1(B,k1_zfmisc_1(A))& m1_subset_1(C,k1_zfmisc_1(A)) )=> ( r1_filter_2(A,B,C)=> r1_filter_2(A,C,B) ) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f43,axiom,(
% 0.08/0.31 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f44,axiom,(
% 0.08/0.31 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),B) ) )) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f45,axiom,(
% 0.08/0.31 (! [A,B] :( m1_subset_1(A,k1_zfmisc_1(B))<=> r1_tarski(A,B) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f46,axiom,(
% 0.08/0.31 (! [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))) )=> ( ( v14_lattices(A)& r2_hidden(k6_lattices(A),B) )=> ( r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),k17_filter_2(A))& k19_filter_2(A,B) = u1_struct_0(A) ) ) ) )) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f49,axiom,(
% 0.08/0.31 (! [A] :( v1_xboole_0(A)=> A = k1_xboole_0 ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f50,axiom,(
% 0.08/0.31 (! [A,B] :~ ( r2_hidden(A,B)& v1_xboole_0(B) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f52,plain,(
% 0.08/0.31 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(?[B]: (m2_filter_2(B,A)&((v14_lattices(A)&r2_hidden(k6_lattices(A),B))&(~r1_filter_2(u1_struct_0(A),B,k17_filter_2(A))|~B=u1_struct_0(A)))))))),
% 0.08/0.31 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.08/0.31 fof(f53,plain,(
% 0.08/0.31 (((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&l3_lattices(sk0_0))&(m2_filter_2(sk0_1,sk0_0)&((v14_lattices(sk0_0)&r2_hidden(k6_lattices(sk0_0),sk0_1))&(~r1_filter_2(u1_struct_0(sk0_0),sk0_1,k17_filter_2(sk0_0))|~sk0_1=u1_struct_0(sk0_0)))))),
% 0.12/0.31 inference(skolemization,[status(esa)],[f52])).
% 0.12/0.31 fof(f54,plain,(
% 0.12/0.31 ~v3_struct_0(sk0_0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f53])).
% 0.12/0.31 fof(f55,plain,(
% 0.12/0.31 v10_lattices(sk0_0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f53])).
% 0.12/0.31 fof(f56,plain,(
% 0.12/0.31 l3_lattices(sk0_0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f53])).
% 0.12/0.31 fof(f57,plain,(
% 0.12/0.31 m2_filter_2(sk0_1,sk0_0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f53])).
% 0.12/0.31 fof(f58,plain,(
% 0.12/0.31 v14_lattices(sk0_0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f53])).
% 0.12/0.31 fof(f59,plain,(
% 0.12/0.31 r2_hidden(k6_lattices(sk0_0),sk0_1)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f53])).
% 0.12/0.31 fof(f60,plain,(
% 0.12/0.31 ~r1_filter_2(u1_struct_0(sk0_0),sk0_1,k17_filter_2(sk0_0))|~sk0_1=u1_struct_0(sk0_0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f53])).
% 0.12/0.31 fof(f76,plain,(
% 0.12/0.31 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|k17_filter_2(A)=u1_struct_0(A))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.12/0.31 fof(f77,plain,(
% 0.12/0.31 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|k17_filter_2(X0)=u1_struct_0(X0))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f76])).
% 0.12/0.31 fof(f78,plain,(
% 0.12/0.31 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|m2_filter_2(k17_filter_2(A),A))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.12/0.31 fof(f79,plain,(
% 0.12/0.31 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|m2_filter_2(k17_filter_2(X0),X0))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f78])).
% 0.12/0.31 fof(f91,plain,(
% 0.12/0.31 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m2_filter_2(B,A)|(~v1_xboole_0(B)&m2_lattice4(B,A)))))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.12/0.31 fof(f92,plain,(
% 0.12/0.31 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|~v1_xboole_0(X1))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f91])).
% 0.12/0.31 fof(f93,plain,(
% 0.12/0.31 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|m2_lattice4(X1,X0))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f91])).
% 0.12/0.31 fof(f94,plain,(
% 0.12/0.31 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m2_lattice4(B,A)|m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.12/0.31 fof(f95,plain,(
% 0.12/0.31 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_lattice4(X1,X0)|m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f94])).
% 0.12/0.31 fof(f114,plain,(
% 0.12/0.31 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f29])).
% 0.12/0.31 fof(f126,plain,(
% 0.12/0.31 ![A]: (m1_subset_1(sk0_12(A),k1_zfmisc_1(A))&v1_xboole_0(sk0_12(A)))),
% 0.12/0.31 inference(skolemization,[status(esa)],[f34])).
% 0.12/0.31 fof(f127,plain,(
% 0.12/0.31 ![X0]: (m1_subset_1(sk0_12(X0),k1_zfmisc_1(X0)))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f126])).
% 0.12/0.31 fof(f128,plain,(
% 0.12/0.31 ![X0]: (v1_xboole_0(sk0_12(X0)))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f126])).
% 0.12/0.31 fof(f131,plain,(
% 0.12/0.31 (l1_struct_0(sk0_14)&~v3_struct_0(sk0_14))),
% 0.12/0.31 inference(skolemization,[status(esa)],[f36])).
% 0.12/0.31 fof(f133,plain,(
% 0.12/0.31 ~v3_struct_0(sk0_14)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f131])).
% 0.12/0.31 fof(f138,plain,(
% 0.12/0.31 ![A,B,C]: (((v1_xboole_0(A)|~m1_subset_1(B,k1_zfmisc_1(A)))|~m1_subset_1(C,k1_zfmisc_1(A)))|(r1_filter_2(A,B,C)<=>B=C))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.12/0.31 fof(f139,plain,(
% 0.12/0.31 ![A,B,C]: (((v1_xboole_0(A)|~m1_subset_1(B,k1_zfmisc_1(A)))|~m1_subset_1(C,k1_zfmisc_1(A)))|((~r1_filter_2(A,B,C)|B=C)&(r1_filter_2(A,B,C)|~B=C)))),
% 0.12/0.31 inference(NNF_transformation,[status(esa)],[f138])).
% 0.12/0.31 fof(f140,plain,(
% 0.12/0.31 ![X0,X1,X2]: (v1_xboole_0(X0)|~m1_subset_1(X1,k1_zfmisc_1(X0))|~m1_subset_1(X2,k1_zfmisc_1(X0))|~r1_filter_2(X0,X1,X2)|X1=X2)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f139])).
% 0.12/0.31 fof(f145,plain,(
% 0.12/0.31 ![A]: r1_tarski(A,A)),
% 0.12/0.31 inference(miniscoping,[status(esa)],[f40])).
% 0.12/0.31 fof(f146,plain,(
% 0.12/0.31 ![X0]: (r1_tarski(X0,X0))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f145])).
% 0.12/0.31 fof(f147,plain,(
% 0.12/0.31 ![A,B,C]: (((v1_xboole_0(A)|~m1_subset_1(B,k1_zfmisc_1(A)))|~m1_subset_1(C,k1_zfmisc_1(A)))|(~r1_filter_2(A,B,C)|r1_filter_2(A,C,B)))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.12/0.31 fof(f148,plain,(
% 0.12/0.31 ![X0,X1,X2]: (v1_xboole_0(X0)|~m1_subset_1(X1,k1_zfmisc_1(X0))|~m1_subset_1(X2,k1_zfmisc_1(X0))|~r1_filter_2(X0,X1,X2)|r1_filter_2(X0,X2,X1))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f147])).
% 0.12/0.31 fof(f151,plain,(
% 0.12/0.31 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.12/0.31 fof(f152,plain,(
% 0.12/0.31 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f151])).
% 0.12/0.31 fof(f153,plain,(
% 0.12/0.31 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m2_filter_2(B,A)|r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),B))))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.12/0.31 fof(f154,plain,(
% 0.12/0.31 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f153])).
% 0.12/0.31 fof(f155,plain,(
% 0.12/0.31 ![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)))),
% 0.12/0.31 inference(NNF_transformation,[status(esa)],[f45])).
% 0.12/0.31 fof(f156,plain,(
% 0.12/0.31 (![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)))),
% 0.12/0.31 inference(miniscoping,[status(esa)],[f155])).
% 0.12/0.31 fof(f158,plain,(
% 0.12/0.31 ![X0,X1]: (m1_subset_1(X0,k1_zfmisc_1(X1))|~r1_tarski(X0,X1))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f156])).
% 0.12/0.31 fof(f159,plain,(
% 0.12/0.31 ![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))))|((~v14_lattices(A)|~r2_hidden(k6_lattices(A),B))|(r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),k17_filter_2(A))&k19_filter_2(A,B)=u1_struct_0(A))))))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.12/0.31 fof(f161,plain,(
% 0.12/0.31 ![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)))|~v14_lattices(X0)|~r2_hidden(k6_lattices(X0),X1)|k19_filter_2(X0,X1)=u1_struct_0(X0))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f159])).
% 0.12/0.31 fof(f168,plain,(
% 0.12/0.31 ![A]: (~v1_xboole_0(A)|A=k1_xboole_0)),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.12/0.31 fof(f169,plain,(
% 0.12/0.31 ![X0]: (~v1_xboole_0(X0)|X0=k1_xboole_0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f168])).
% 0.12/0.31 fof(f170,plain,(
% 0.12/0.31 ![A,B]: (~r2_hidden(A,B)|~v1_xboole_0(B))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.12/0.31 fof(f171,plain,(
% 0.12/0.31 ![B]: ((![A]: ~r2_hidden(A,B))|~v1_xboole_0(B))),
% 0.12/0.31 inference(miniscoping,[status(esa)],[f170])).
% 0.12/0.31 fof(f172,plain,(
% 0.12/0.31 ![X0,X1]: (~r2_hidden(X0,X1)|~v1_xboole_0(X1))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f171])).
% 0.12/0.31 fof(f176,plain,(
% 0.12/0.31 spl0_0 <=> r1_filter_2(u1_struct_0(sk0_0),sk0_1,k17_filter_2(sk0_0))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f178,plain,(
% 0.12/0.31 ~r1_filter_2(u1_struct_0(sk0_0),sk0_1,k17_filter_2(sk0_0))|spl0_0),
% 0.12/0.31 inference(component_clause,[status(thm)],[f176])).
% 0.12/0.31 fof(f179,plain,(
% 0.12/0.31 spl0_1 <=> sk0_1=u1_struct_0(sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f182,plain,(
% 0.12/0.31 ~spl0_0|~spl0_1),
% 0.12/0.31 inference(split_clause,[status(thm)],[f60,f176,f179])).
% 0.12/0.31 fof(f187,plain,(
% 0.12/0.31 spl0_2 <=> v3_struct_0(sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f188,plain,(
% 0.12/0.31 v3_struct_0(sk0_0)|~spl0_2),
% 0.12/0.31 inference(component_clause,[status(thm)],[f187])).
% 0.12/0.31 fof(f190,plain,(
% 0.12/0.31 spl0_3 <=> v10_lattices(sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f192,plain,(
% 0.12/0.31 ~v10_lattices(sk0_0)|spl0_3),
% 0.12/0.31 inference(component_clause,[status(thm)],[f190])).
% 0.12/0.31 fof(f193,plain,(
% 0.12/0.31 spl0_4 <=> k17_filter_2(sk0_0)=u1_struct_0(sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f194,plain,(
% 0.12/0.31 k17_filter_2(sk0_0)=u1_struct_0(sk0_0)|~spl0_4),
% 0.12/0.31 inference(component_clause,[status(thm)],[f193])).
% 0.12/0.31 fof(f196,plain,(
% 0.12/0.31 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|k17_filter_2(sk0_0)=u1_struct_0(sk0_0)),
% 0.12/0.31 inference(resolution,[status(thm)],[f77,f56])).
% 0.12/0.31 fof(f197,plain,(
% 0.12/0.31 spl0_2|~spl0_3|spl0_4),
% 0.12/0.31 inference(split_clause,[status(thm)],[f196,f187,f190,f193])).
% 0.12/0.31 fof(f198,plain,(
% 0.12/0.31 $false|spl0_3),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f192,f55])).
% 0.12/0.31 fof(f199,plain,(
% 0.12/0.31 spl0_3),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f198])).
% 0.12/0.31 fof(f200,plain,(
% 0.12/0.31 $false|~spl0_2),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f188,f54])).
% 0.12/0.31 fof(f201,plain,(
% 0.12/0.31 ~spl0_2),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f200])).
% 0.12/0.31 fof(f227,plain,(
% 0.12/0.31 spl0_10 <=> l3_lattices(sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f229,plain,(
% 0.12/0.31 ~l3_lattices(sk0_0)|spl0_10),
% 0.12/0.31 inference(component_clause,[status(thm)],[f227])).
% 0.12/0.31 fof(f230,plain,(
% 0.12/0.31 spl0_11 <=> m2_filter_2(u1_struct_0(sk0_0),sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f231,plain,(
% 0.12/0.31 m2_filter_2(u1_struct_0(sk0_0),sk0_0)|~spl0_11),
% 0.12/0.31 inference(component_clause,[status(thm)],[f230])).
% 0.12/0.31 fof(f233,plain,(
% 0.12/0.31 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|m2_filter_2(u1_struct_0(sk0_0),sk0_0)|~spl0_4),
% 0.12/0.31 inference(paramodulation,[status(thm)],[f194,f79])).
% 0.12/0.31 fof(f234,plain,(
% 0.12/0.31 spl0_2|~spl0_3|~spl0_10|spl0_11|~spl0_4),
% 0.12/0.31 inference(split_clause,[status(thm)],[f233,f187,f190,f227,f230,f193])).
% 0.12/0.31 fof(f235,plain,(
% 0.12/0.31 $false|spl0_10),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f229,f56])).
% 0.12/0.31 fof(f236,plain,(
% 0.12/0.31 spl0_10),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f235])).
% 0.12/0.31 fof(f237,plain,(
% 0.12/0.31 ~r1_filter_2(u1_struct_0(sk0_0),sk0_1,u1_struct_0(sk0_0))|~spl0_4|spl0_0),
% 0.12/0.31 inference(forward_demodulation,[status(thm)],[f194,f178])).
% 0.12/0.31 fof(f238,plain,(
% 0.12/0.31 spl0_12 <=> ~m2_filter_2(X0,sk0_0)|~v1_xboole_0(X0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f239,plain,(
% 0.12/0.31 ![X0]: (~m2_filter_2(X0,sk0_0)|~v1_xboole_0(X0)|~spl0_12)),
% 0.12/0.31 inference(component_clause,[status(thm)],[f238])).
% 0.12/0.31 fof(f241,plain,(
% 0.12/0.31 ![X0]: (v3_struct_0(sk0_0)|~l3_lattices(sk0_0)|~m2_filter_2(X0,sk0_0)|~v1_xboole_0(X0))),
% 0.12/0.31 inference(resolution,[status(thm)],[f92,f55])).
% 0.12/0.31 fof(f242,plain,(
% 0.12/0.31 spl0_2|~spl0_10|spl0_12),
% 0.12/0.31 inference(split_clause,[status(thm)],[f241,f187,f227,f238])).
% 0.12/0.31 fof(f251,plain,(
% 0.12/0.31 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))|~v14_lattices(X0)|~r2_hidden(k6_lattices(X0),X1)|k19_filter_2(X0,X1)=u1_struct_0(X0))),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f161,f172])).
% 0.12/0.31 fof(f252,plain,(
% 0.12/0.31 spl0_13 <=> ~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~r2_hidden(k6_lattices(sk0_0),X0)|k19_filter_2(sk0_0,X0)=u1_struct_0(sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f253,plain,(
% 0.12/0.31 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~r2_hidden(k6_lattices(sk0_0),X0)|k19_filter_2(sk0_0,X0)=u1_struct_0(sk0_0)|~spl0_13)),
% 0.12/0.31 inference(component_clause,[status(thm)],[f252])).
% 0.12/0.31 fof(f255,plain,(
% 0.12/0.31 ![X0]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~r2_hidden(k6_lattices(sk0_0),X0)|k19_filter_2(sk0_0,X0)=u1_struct_0(sk0_0))),
% 0.12/0.31 inference(resolution,[status(thm)],[f251,f58])).
% 0.12/0.31 fof(f256,plain,(
% 0.12/0.31 spl0_2|~spl0_3|~spl0_10|spl0_13),
% 0.12/0.31 inference(split_clause,[status(thm)],[f255,f187,f190,f227,f252])).
% 0.12/0.31 fof(f292,plain,(
% 0.12/0.31 spl0_18 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f293,plain,(
% 0.12/0.31 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_18),
% 0.12/0.31 inference(component_clause,[status(thm)],[f292])).
% 0.12/0.31 fof(f348,plain,(
% 0.12/0.31 ![X0]: (sk0_12(X0)=k1_xboole_0)),
% 0.12/0.31 inference(resolution,[status(thm)],[f169,f128])).
% 0.12/0.31 fof(f364,plain,(
% 0.12/0.31 ![X0]: (m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)))),
% 0.12/0.31 inference(forward_demodulation,[status(thm)],[f348,f127])).
% 0.12/0.31 fof(f426,plain,(
% 0.12/0.31 ![X0]: (m1_subset_1(X0,k1_zfmisc_1(X0)))),
% 0.12/0.31 inference(resolution,[status(thm)],[f158,f146])).
% 0.12/0.31 fof(f439,plain,(
% 0.12/0.31 ![X0,X1]: (v1_xboole_0(X0)|~m1_subset_1(X1,k1_zfmisc_1(X0))|~r1_filter_2(X0,X1,X0)|X1=X0)),
% 0.12/0.31 inference(resolution,[status(thm)],[f426,f140])).
% 0.12/0.31 fof(f441,plain,(
% 0.12/0.31 ![X0]: (v1_xboole_0(k1_zfmisc_1(X0))|r2_hidden(X0,k1_zfmisc_1(X0)))),
% 0.12/0.31 inference(resolution,[status(thm)],[f426,f152])).
% 0.12/0.31 fof(f442,plain,(
% 0.12/0.31 ![X0]: (r2_hidden(X0,k1_zfmisc_1(X0)))),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f441,f114])).
% 0.12/0.31 fof(f446,plain,(
% 0.12/0.31 spl0_31 <=> v1_xboole_0(u1_struct_0(sk0_0))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f447,plain,(
% 0.12/0.31 v1_xboole_0(u1_struct_0(sk0_0))|~spl0_31),
% 0.12/0.31 inference(component_clause,[status(thm)],[f446])).
% 0.12/0.31 fof(f453,plain,(
% 0.12/0.31 ~m2_filter_2(u1_struct_0(sk0_0),sk0_0)|~spl0_31|~spl0_12),
% 0.12/0.31 inference(resolution,[status(thm)],[f447,f239])).
% 0.12/0.31 fof(f454,plain,(
% 0.12/0.31 $false|~spl0_11|~spl0_31|~spl0_12),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f453,f231])).
% 0.12/0.31 fof(f455,plain,(
% 0.12/0.31 ~spl0_11|~spl0_31|~spl0_12),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f454])).
% 0.12/0.31 fof(f459,plain,(
% 0.12/0.31 spl0_32 <=> m1_subset_1(u1_struct_0(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f461,plain,(
% 0.12/0.31 ~m1_subset_1(u1_struct_0(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_32),
% 0.12/0.31 inference(component_clause,[status(thm)],[f459])).
% 0.12/0.31 fof(f474,plain,(
% 0.12/0.31 $false|spl0_32),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f461,f426])).
% 0.12/0.31 fof(f475,plain,(
% 0.12/0.31 spl0_32),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f474])).
% 0.12/0.31 fof(f535,plain,(
% 0.12/0.31 spl0_37 <=> m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f537,plain,(
% 0.12/0.31 ~m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_37),
% 0.12/0.31 inference(component_clause,[status(thm)],[f535])).
% 0.12/0.31 fof(f538,plain,(
% 0.12/0.31 spl0_38 <=> r1_filter_2(u1_struct_0(sk0_0),u1_struct_0(sk0_0),sk0_1)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f540,plain,(
% 0.12/0.31 ~r1_filter_2(u1_struct_0(sk0_0),u1_struct_0(sk0_0),sk0_1)|spl0_38),
% 0.12/0.31 inference(component_clause,[status(thm)],[f538])).
% 0.12/0.31 fof(f541,plain,(
% 0.12/0.31 v1_xboole_0(u1_struct_0(sk0_0))|~m1_subset_1(u1_struct_0(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))|~m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))|~r1_filter_2(u1_struct_0(sk0_0),u1_struct_0(sk0_0),sk0_1)|~spl0_4|spl0_0),
% 0.12/0.31 inference(resolution,[status(thm)],[f148,f237])).
% 0.12/0.31 fof(f542,plain,(
% 0.12/0.31 spl0_31|~spl0_32|~spl0_37|~spl0_38|~spl0_4|spl0_0),
% 0.12/0.31 inference(split_clause,[status(thm)],[f541,f446,f459,f535,f538,f193,f176])).
% 0.12/0.31 fof(f543,plain,(
% 0.12/0.31 spl0_39 <=> r1_filter_2(u1_struct_0(sk0_0),sk0_1,u1_struct_0(sk0_0))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f545,plain,(
% 0.12/0.31 ~r1_filter_2(u1_struct_0(sk0_0),sk0_1,u1_struct_0(sk0_0))|spl0_39),
% 0.12/0.31 inference(component_clause,[status(thm)],[f543])).
% 0.12/0.31 fof(f688,plain,(
% 0.12/0.31 spl0_57 <=> ~m2_lattice4(X0,sk0_0)|m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f689,plain,(
% 0.12/0.31 ![X0]: (~m2_lattice4(X0,sk0_0)|m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_57)),
% 0.12/0.31 inference(component_clause,[status(thm)],[f688])).
% 0.12/0.31 fof(f691,plain,(
% 0.12/0.31 ![X0]: (v3_struct_0(sk0_0)|~l3_lattices(sk0_0)|~m2_lattice4(X0,sk0_0)|m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0))))),
% 0.12/0.31 inference(resolution,[status(thm)],[f95,f55])).
% 0.12/0.31 fof(f692,plain,(
% 0.12/0.31 spl0_2|~spl0_10|spl0_57),
% 0.12/0.31 inference(split_clause,[status(thm)],[f691,f187,f227,f688])).
% 0.12/0.31 fof(f694,plain,(
% 0.12/0.31 v1_xboole_0(u1_struct_0(sk0_0))|~m1_subset_1(u1_struct_0(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))|~m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))|~r1_filter_2(u1_struct_0(sk0_0),u1_struct_0(sk0_0),sk0_1)|spl0_39),
% 0.12/0.31 inference(resolution,[status(thm)],[f545,f148])).
% 0.12/0.31 fof(f695,plain,(
% 0.12/0.31 spl0_31|~spl0_32|~spl0_37|~spl0_38|spl0_39),
% 0.12/0.31 inference(split_clause,[status(thm)],[f694,f446,f459,f535,f538,f543])).
% 0.12/0.31 fof(f696,plain,(
% 0.12/0.31 spl0_58 <=> m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~m2_filter_2(X0,sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f697,plain,(
% 0.12/0.31 ![X0]: (m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|~m2_filter_2(X0,sk0_0)|~spl0_58)),
% 0.12/0.31 inference(component_clause,[status(thm)],[f696])).
% 0.12/0.31 fof(f699,plain,(
% 0.12/0.31 ![X0]: (m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sk0_0)))|v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|~m2_filter_2(X0,sk0_0)|~spl0_57)),
% 0.12/0.31 inference(resolution,[status(thm)],[f689,f93])).
% 0.12/0.31 fof(f700,plain,(
% 0.12/0.31 spl0_58|spl0_2|~spl0_3|~spl0_10|~spl0_57),
% 0.12/0.31 inference(split_clause,[status(thm)],[f699,f696,f187,f190,f227,f688])).
% 0.12/0.31 fof(f712,plain,(
% 0.12/0.31 m1_subset_1(sk0_1,k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_58),
% 0.12/0.31 inference(resolution,[status(thm)],[f697,f57])).
% 0.12/0.31 fof(f713,plain,(
% 0.12/0.31 $false|spl0_37|~spl0_58),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f712,f537])).
% 0.12/0.31 fof(f714,plain,(
% 0.12/0.31 spl0_37|~spl0_58),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f713])).
% 0.12/0.31 fof(f726,plain,(
% 0.12/0.31 spl0_61 <=> r2_hidden(k6_lattices(sk0_0),sk0_1)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f728,plain,(
% 0.12/0.31 ~r2_hidden(k6_lattices(sk0_0),sk0_1)|spl0_61),
% 0.12/0.31 inference(component_clause,[status(thm)],[f726])).
% 0.12/0.31 fof(f729,plain,(
% 0.12/0.31 spl0_62 <=> k19_filter_2(sk0_0,sk0_1)=u1_struct_0(sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f730,plain,(
% 0.12/0.31 k19_filter_2(sk0_0,sk0_1)=u1_struct_0(sk0_0)|~spl0_62),
% 0.12/0.31 inference(component_clause,[status(thm)],[f729])).
% 0.12/0.31 fof(f732,plain,(
% 0.12/0.31 ~r2_hidden(k6_lattices(sk0_0),sk0_1)|k19_filter_2(sk0_0,sk0_1)=u1_struct_0(sk0_0)|~spl0_58|~spl0_13),
% 0.12/0.31 inference(resolution,[status(thm)],[f712,f253])).
% 0.12/0.31 fof(f733,plain,(
% 0.12/0.31 ~spl0_61|spl0_62|~spl0_58|~spl0_13),
% 0.12/0.31 inference(split_clause,[status(thm)],[f732,f726,f729,f696,f252])).
% 0.12/0.31 fof(f739,plain,(
% 0.12/0.31 v1_xboole_0(u1_struct_0(sk0_0))|~r1_filter_2(u1_struct_0(sk0_0),sk0_1,u1_struct_0(sk0_0))|sk0_1=u1_struct_0(sk0_0)|~spl0_58),
% 0.12/0.31 inference(resolution,[status(thm)],[f712,f439])).
% 0.12/0.31 fof(f740,plain,(
% 0.12/0.31 spl0_31|~spl0_39|spl0_1|~spl0_58),
% 0.12/0.31 inference(split_clause,[status(thm)],[f739,f446,f543,f179,f696])).
% 0.12/0.31 fof(f748,plain,(
% 0.12/0.31 $false|spl0_61),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f728,f59])).
% 0.12/0.31 fof(f749,plain,(
% 0.12/0.31 spl0_61),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f748])).
% 0.12/0.31 fof(f750,plain,(
% 0.12/0.31 $false|~spl0_18),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f293,f114])).
% 0.12/0.31 fof(f751,plain,(
% 0.12/0.31 ~spl0_18),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f750])).
% 0.12/0.31 fof(f879,plain,(
% 0.12/0.31 spl0_83 <=> m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(k1_xboole_0)))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f881,plain,(
% 0.12/0.31 ~m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(k1_xboole_0)))|spl0_83),
% 0.12/0.31 inference(component_clause,[status(thm)],[f879])).
% 0.12/0.31 fof(f882,plain,(
% 0.12/0.31 spl0_84 <=> m1_subset_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_zfmisc_1(k1_xboole_0)))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f884,plain,(
% 0.12/0.31 ~m1_subset_1(k1_zfmisc_1(k1_xboole_0),k1_zfmisc_1(k1_zfmisc_1(k1_xboole_0)))|spl0_84),
% 0.12/0.31 inference(component_clause,[status(thm)],[f882])).
% 0.12/0.31 fof(f887,plain,(
% 0.12/0.31 $false|spl0_84),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f884,f426])).
% 0.12/0.31 fof(f888,plain,(
% 0.12/0.31 spl0_84),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f887])).
% 0.12/0.31 fof(f889,plain,(
% 0.12/0.31 $false|spl0_83),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f881,f364])).
% 0.12/0.31 fof(f890,plain,(
% 0.12/0.31 spl0_83),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f889])).
% 0.12/0.31 fof(f984,plain,(
% 0.12/0.31 spl0_89 <=> r2_hidden(u1_struct_0(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f986,plain,(
% 0.12/0.31 ~r2_hidden(u1_struct_0(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)))|spl0_89),
% 0.12/0.31 inference(component_clause,[status(thm)],[f984])).
% 0.12/0.31 fof(f998,plain,(
% 0.12/0.31 $false|spl0_89),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f986,f442])).
% 0.12/0.31 fof(f999,plain,(
% 0.12/0.31 spl0_89),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f998])).
% 0.12/0.31 fof(f1109,plain,(
% 0.12/0.31 spl0_102 <=> v3_struct_0(sk0_14)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f1110,plain,(
% 0.12/0.31 v3_struct_0(sk0_14)|~spl0_102),
% 0.12/0.31 inference(component_clause,[status(thm)],[f1109])).
% 0.12/0.31 fof(f1127,plain,(
% 0.12/0.31 $false|~spl0_102),
% 0.12/0.31 inference(forward_subsumption_resolution,[status(thm)],[f1110,f133])).
% 0.12/0.31 fof(f1128,plain,(
% 0.12/0.31 ~spl0_102),
% 0.12/0.31 inference(contradiction_clause,[status(thm)],[f1127])).
% 0.12/0.31 fof(f1129,plain,(
% 0.12/0.31 spl0_106 <=> ~m2_filter_2(X0,sk0_0)|r1_filter_2(u1_struct_0(sk0_0),k19_filter_2(sk0_0,X0),X0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f1130,plain,(
% 0.12/0.31 ![X0]: (~m2_filter_2(X0,sk0_0)|r1_filter_2(u1_struct_0(sk0_0),k19_filter_2(sk0_0,X0),X0)|~spl0_106)),
% 0.12/0.31 inference(component_clause,[status(thm)],[f1129])).
% 0.12/0.31 fof(f1132,plain,(
% 0.12/0.31 ![X0]: (v3_struct_0(sk0_0)|~l3_lattices(sk0_0)|~m2_filter_2(X0,sk0_0)|r1_filter_2(u1_struct_0(sk0_0),k19_filter_2(sk0_0,X0),X0))),
% 0.12/0.32 inference(resolution,[status(thm)],[f154,f55])).
% 0.12/0.32 fof(f1133,plain,(
% 0.12/0.32 spl0_2|~spl0_10|spl0_106),
% 0.12/0.32 inference(split_clause,[status(thm)],[f1132,f187,f227,f1129])).
% 0.12/0.32 fof(f1187,plain,(
% 0.12/0.32 r1_filter_2(u1_struct_0(sk0_0),k19_filter_2(sk0_0,sk0_1),sk0_1)|~spl0_106),
% 0.12/0.32 inference(resolution,[status(thm)],[f1130,f57])).
% 0.12/0.32 fof(f1188,plain,(
% 0.12/0.32 r1_filter_2(u1_struct_0(sk0_0),u1_struct_0(sk0_0),sk0_1)|~spl0_62|~spl0_106),
% 0.12/0.32 inference(forward_demodulation,[status(thm)],[f730,f1187])).
% 0.12/0.32 fof(f1189,plain,(
% 0.12/0.32 $false|spl0_38|~spl0_62|~spl0_106),
% 0.12/0.32 inference(forward_subsumption_resolution,[status(thm)],[f1188,f540])).
% 0.12/0.32 fof(f1190,plain,(
% 0.12/0.32 spl0_38|~spl0_62|~spl0_106),
% 0.12/0.32 inference(contradiction_clause,[status(thm)],[f1189])).
% 0.12/0.32 fof(f1191,plain,(
% 0.12/0.32 $false),
% 0.12/0.32 inference(sat_refutation,[status(thm)],[f182,f197,f199,f201,f234,f236,f242,f256,f455,f475,f542,f692,f695,f700,f714,f733,f740,f749,f751,f888,f890,f999,f1128,f1133,f1190])).
% 0.12/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.32 % Elapsed time: 0.028997 seconds
% 0.12/0.32 % CPU time: 0.103787 seconds
% 0.12/0.32 % Total memory used: 21.005 MB
% 0.12/0.32 % Net memory used: 20.946 MB
%------------------------------------------------------------------------------