%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT301+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:03:35 PM UTC 2026
% Result : Theorem 1.14s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT301+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:30:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 1.14/0.57 % Refutation found
% 1.14/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.14/0.57 % SZS output start CNFRefutation for theBenchmark
% 1.14/0.57 fof(f1,conjecture,(
% 1.14/0.57 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> ( v13_lattices(A)=> r2_hidden(k5_lattices(A),B) ) ) )) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f2,negated_conjecture,(
% 1.14/0.57 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)=> ( v13_lattices(A)=> r2_hidden(k5_lattices(A),B) ) ) )) ))),
% 1.14/0.57 inference(negated_conjecture,[status(cth)],[f1])).
% 1.14/0.57 fof(f13,axiom,(
% 1.14/0.57 (! [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 ) )) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f15,axiom,(
% 1.14/0.57 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m2_filter_2(B,A) )=> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f16,axiom,(
% 1.14/0.57 (! [A] :( l3_lattices(A)=> ( v3_lattices(k1_lattice2(A))& l3_lattices(k1_lattice2(A)) ) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f23,axiom,(
% 1.14/0.57 (! [A] :( l1_lattices(A)=> l1_struct_0(A) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f26,axiom,(
% 1.14/0.57 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f31,axiom,(
% 1.14/0.57 (! [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) ) ) )) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f32,axiom,(
% 1.14/0.57 (! [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))) ) )) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f49,axiom,(
% 1.14/0.57 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A)) ) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f51,axiom,(
% 1.14/0.57 (! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f59,axiom,(
% 1.14/0.57 (! [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)) ) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f61,axiom,(
% 1.14/0.57 (? [A] :( l3_lattices(A)& ~ v3_struct_0(A)& v3_lattices(A)& v4_lattices(A)& v5_lattices(A)& v6_lattices(A)& v7_lattices(A)& v8_lattices(A)& v9_lattices(A)& v10_lattices(A)& v13_lattices(A)& v14_lattices(A)& v15_lattices(A) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f70,axiom,(
% 1.14/0.57 (? [A] :( l3_lattices(A)& v3_lattices(A) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f71,axiom,(
% 1.14/0.57 (? [A] :( l1_struct_0(A)& ~ v3_struct_0(A) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f73,axiom,(
% 1.14/0.57 (? [A] :( l3_lattices(A)& ~ v3_struct_0(A)& v3_lattices(A) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f74,axiom,(
% 1.14/0.57 (? [A] :( l3_lattices(A)& ~ v3_struct_0(A)& v3_lattices(A)& v4_lattices(A)& v5_lattices(A)& v6_lattices(A)& v7_lattices(A)& v8_lattices(A)& v9_lattices(A)& v10_lattices(A) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f75,axiom,(
% 1.14/0.57 (! [A,B] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A)& m2_filter_2(B,A) )=> k15_filter_2(A,B) = k7_filter_2(A,B) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f76,axiom,(
% 1.14/0.57 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_filter_2(B,A)<=> m1_filter_0(B,A) ) )) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f79,axiom,(
% 1.14/0.57 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_filter_0(B,A)=> ( ( ~ v3_struct_0(A)& v10_lattices(A)& v14_lattices(A)& l3_lattices(A) )=> r2_hidden(k6_lattices(A),B) ) ) )) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f85,axiom,(
% 1.14/0.57 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> ( v13_lattices(A)<=> v14_lattices(k1_lattice2(A)) ) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f87,axiom,(
% 1.14/0.57 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v13_lattices(A)& l3_lattices(A) )=> k5_lattices(A) = k6_lattices(k1_lattice2(A)) ) )),
% 1.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.14/0.57 fof(f90,plain,(
% 1.14/0.57 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&(?[B]: (m2_filter_2(B,A)&(v13_lattices(A)&~r2_hidden(k5_lattices(A),B))))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 1.14/0.57 fof(f91,plain,(
% 1.14/0.57 (((~v3_struct_0(sK0_skl)&v10_lattices(sK0_skl))&l3_lattices(sK0_skl))&(m2_filter_2(sK1_skl,sK0_skl)&(v13_lattices(sK0_skl)&~r2_hidden(k5_lattices(sK0_skl),sK1_skl))))),
% 1.14/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f90])).
% 1.14/0.57 fof(f92,plain,(
% 1.14/0.57 ~v3_struct_0(sK0_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f91])).
% 1.14/0.57 fof(f93,plain,(
% 1.14/0.57 v10_lattices(sK0_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f91])).
% 1.14/0.57 fof(f94,plain,(
% 1.14/0.57 l3_lattices(sK0_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f91])).
% 1.14/0.57 fof(f95,plain,(
% 1.14/0.57 m2_filter_2(sK1_skl,sK0_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f91])).
% 1.14/0.57 fof(f96,plain,(
% 1.14/0.57 v13_lattices(sK0_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f91])).
% 1.14/0.57 fof(f97,plain,(
% 1.14/0.57 ~r2_hidden(k5_lattices(sK0_skl),sK1_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f91])).
% 1.14/0.57 fof(f131,plain,(
% 1.14/0.57 ![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)))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 1.14/0.57 fof(f132,plain,(
% 1.14/0.57 ![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)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f131])).
% 1.14/0.57 fof(f136,plain,(
% 1.14/0.57 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m2_filter_2(B,A))|m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 1.14/0.57 fof(f137,plain,(
% 1.14/0.57 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f136])).
% 1.14/0.57 fof(f138,plain,(
% 1.14/0.57 ![A]: (~l3_lattices(A)|(v3_lattices(k1_lattice2(A))&l3_lattices(k1_lattice2(A))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 1.14/0.57 fof(f140,plain,(
% 1.14/0.57 ![X0]: (~l3_lattices(X0)|l3_lattices(k1_lattice2(X0)))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f138])).
% 1.14/0.57 fof(f147,plain,(
% 1.14/0.57 ![A]: (~l1_lattices(A)|l1_struct_0(A))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 1.14/0.57 fof(f148,plain,(
% 1.14/0.57 ![X0]: (~l1_lattices(X0)|l1_struct_0(X0))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f147])).
% 1.14/0.57 fof(f151,plain,(
% 1.14/0.57 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 1.14/0.57 fof(f152,plain,(
% 1.14/0.57 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f151])).
% 1.14/0.57 fof(f160,plain,(
% 1.14/0.57 ![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)))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 1.14/0.57 fof(f162,plain,(
% 1.14/0.57 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|m2_lattice4(X1,X0))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f160])).
% 1.14/0.57 fof(f163,plain,(
% 1.14/0.57 ![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))))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 1.14/0.57 fof(f164,plain,(
% 1.14/0.57 ![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))))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f163])).
% 1.14/0.57 fof(f203,plain,(
% 1.14/0.57 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 1.14/0.57 fof(f204,plain,(
% 1.14/0.57 ![X0]: (v3_struct_0(X0)|~l3_lattices(X0)|~v3_struct_0(k1_lattice2(X0)))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f203])).
% 1.14/0.57 fof(f208,plain,(
% 1.14/0.57 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f51])).
% 1.14/0.57 fof(f239,plain,(
% 1.14/0.57 ![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))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f59])).
% 1.14/0.57 fof(f248,plain,(
% 1.14/0.57 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v10_lattices(k1_lattice2(X0)))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f239])).
% 1.14/0.57 fof(f253,plain,(
% 1.14/0.57 ((((((((((((l3_lattices(sK13_skl)&~v3_struct_0(sK13_skl))&v3_lattices(sK13_skl))&v4_lattices(sK13_skl))&v5_lattices(sK13_skl))&v6_lattices(sK13_skl))&v7_lattices(sK13_skl))&v8_lattices(sK13_skl))&v9_lattices(sK13_skl))&v10_lattices(sK13_skl))&v13_lattices(sK13_skl))&v14_lattices(sK13_skl))&v15_lattices(sK13_skl))),
% 1.14/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(A,sK13_skl)],[f61])).
% 1.14/0.57 fof(f255,plain,(
% 1.14/0.57 ~v3_struct_0(sK13_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f253])).
% 1.14/0.57 fof(f263,plain,(
% 1.14/0.57 v10_lattices(sK13_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f253])).
% 1.14/0.57 fof(f293,plain,(
% 1.14/0.57 (l3_lattices(sK22_skl)&v3_lattices(sK22_skl))),
% 1.14/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl]),skolemize(A,sK22_skl)],[f70])).
% 1.14/0.57 fof(f294,plain,(
% 1.14/0.57 l3_lattices(sK22_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f293])).
% 1.14/0.57 fof(f296,plain,(
% 1.14/0.57 (l1_struct_0(sK23_skl)&~v3_struct_0(sK23_skl))),
% 1.14/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(A,sK23_skl)],[f71])).
% 1.14/0.57 fof(f298,plain,(
% 1.14/0.57 ~v3_struct_0(sK23_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f296])).
% 1.14/0.57 fof(f303,plain,(
% 1.14/0.57 ((l3_lattices(sK25_skl)&~v3_struct_0(sK25_skl))&v3_lattices(sK25_skl))),
% 1.14/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(A,sK25_skl)],[f73])).
% 1.14/0.57 fof(f304,plain,(
% 1.14/0.57 l3_lattices(sK25_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f303])).
% 1.14/0.57 fof(f305,plain,(
% 1.14/0.57 ~v3_struct_0(sK25_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f303])).
% 1.14/0.57 fof(f307,plain,(
% 1.14/0.57 (((((((((l3_lattices(sK26_skl)&~v3_struct_0(sK26_skl))&v3_lattices(sK26_skl))&v4_lattices(sK26_skl))&v5_lattices(sK26_skl))&v6_lattices(sK26_skl))&v7_lattices(sK26_skl))&v8_lattices(sK26_skl))&v9_lattices(sK26_skl))&v10_lattices(sK26_skl))),
% 1.14/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(A,sK26_skl)],[f74])).
% 1.14/0.57 fof(f308,plain,(
% 1.14/0.57 l3_lattices(sK26_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f307])).
% 1.14/0.57 fof(f309,plain,(
% 1.14/0.57 ~v3_struct_0(sK26_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f307])).
% 1.14/0.57 fof(f311,plain,(
% 1.14/0.57 v4_lattices(sK26_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f307])).
% 1.14/0.57 fof(f312,plain,(
% 1.14/0.57 v5_lattices(sK26_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f307])).
% 1.14/0.57 fof(f313,plain,(
% 1.14/0.57 v6_lattices(sK26_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f307])).
% 1.14/0.57 fof(f314,plain,(
% 1.14/0.57 v7_lattices(sK26_skl)),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f307])).
% 1.14/0.57 fof(f318,plain,(
% 1.14/0.57 ![A,B]: ((((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|~m2_filter_2(B,A))|k15_filter_2(A,B)=k7_filter_2(A,B))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f75])).
% 1.14/0.57 fof(f319,plain,(
% 1.14/0.57 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m2_filter_2(X1,X0)|k15_filter_2(X0,X1)=k7_filter_2(X0,X1))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f318])).
% 1.14/0.57 fof(f320,plain,(
% 1.14/0.57 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (m1_filter_2(B,A)<=>m1_filter_0(B,A))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f76])).
% 1.14/0.57 fof(f321,plain,(
% 1.14/0.57 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((~m1_filter_2(B,A)|m1_filter_0(B,A))&(m1_filter_2(B,A)|~m1_filter_0(B,A)))))),
% 1.14/0.57 inference(NNF_transformation,[status(thm)],[f320])).
% 1.14/0.57 fof(f322,plain,(
% 1.14/0.57 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((![B]: (~m1_filter_2(B,A)|m1_filter_0(B,A)))&(![B]: (m1_filter_2(B,A)|~m1_filter_0(B,A)))))),
% 1.14/0.57 inference(miniscoping,[status(thm)],[f321])).
% 1.14/0.57 fof(f323,plain,(
% 1.14/0.57 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_filter_2(X1,X0)|m1_filter_0(X1,X0))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f322])).
% 1.14/0.57 fof(f331,plain,(
% 1.14/0.57 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_filter_0(B,A)|((((v3_struct_0(A)|~v10_lattices(A))|~v14_lattices(A))|~l3_lattices(A))|r2_hidden(k6_lattices(A),B)))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f79])).
% 1.14/0.57 fof(f332,plain,(
% 1.14/0.57 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_filter_0(X1,X0)|v3_struct_0(X0)|~v10_lattices(X0)|~v14_lattices(X0)|~l3_lattices(X0)|r2_hidden(k6_lattices(X0),X1))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f331])).
% 1.14/0.57 fof(f347,plain,(
% 1.14/0.57 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(v13_lattices(A)<=>v14_lattices(k1_lattice2(A))))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f85])).
% 1.14/0.57 fof(f348,plain,(
% 1.14/0.57 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((~v13_lattices(A)|v14_lattices(k1_lattice2(A)))&(v13_lattices(A)|~v14_lattices(k1_lattice2(A)))))),
% 1.14/0.57 inference(NNF_transformation,[status(thm)],[f347])).
% 1.14/0.57 fof(f349,plain,(
% 1.14/0.57 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~v13_lattices(X0)|v14_lattices(k1_lattice2(X0)))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f348])).
% 1.14/0.57 fof(f353,plain,(
% 1.14/0.57 ![A]: ((((v3_struct_0(A)|~v10_lattices(A))|~v13_lattices(A))|~l3_lattices(A))|k5_lattices(A)=k6_lattices(k1_lattice2(A)))),
% 1.14/0.57 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 1.14/0.57 fof(f354,plain,(
% 1.14/0.57 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v13_lattices(X0)|~l3_lattices(X0)|k5_lattices(X0)=k6_lattices(k1_lattice2(X0)))),
% 1.14/0.57 inference(cnf_transformation,[status(thm)],[f353])).
% 1.14/0.57 fof(f361,plain,(
% 1.14/0.57 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_filter_0(X1,X0)|~v14_lattices(X0)|r2_hidden(k6_lattices(X0),X1))),
% 1.14/0.57 inference(duplicate_literals_removal,[status(thm)],[f332])).
% 1.14/0.57 fof(f371,definition,(
% 1.14/0.57 sQ2_spl <=> (v3_struct_0(sK0_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f372,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~sQ2_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f371])).
% 1.14/0.57 fof(f374,definition,(
% 1.14/0.57 sQ3_spl <=> (v10_lattices(sK0_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f376,plain,(
% 1.14/0.57 ~v10_lattices(sK0_skl)|sQ3_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f374])).
% 1.14/0.57 fof(f386,plain,(
% 1.14/0.57 $false|sQ3_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f376,f93])).
% 1.14/0.57 fof(f387,plain,(
% 1.14/0.57 sQ3_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f386])).
% 1.14/0.57 fof(f388,plain,(
% 1.14/0.57 $false|~sQ2_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f372,f92])).
% 1.14/0.57 fof(f389,plain,(
% 1.14/0.57 ~sQ2_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f388])).
% 1.14/0.57 fof(f401,definition,(
% 1.14/0.57 sQ8_spl <=> (l3_lattices(sK0_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f403,plain,(
% 1.14/0.57 ~l3_lattices(sK0_skl)|sQ8_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f401])).
% 1.14/0.57 fof(f408,plain,(
% 1.14/0.57 $false|sQ8_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f403,f94])).
% 1.14/0.57 fof(f409,plain,(
% 1.14/0.57 sQ8_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f408])).
% 1.14/0.57 fof(f441,definition,(
% 1.14/0.57 sQ16_spl <=> (v3_struct_0(sK13_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f442,plain,(
% 1.14/0.57 v3_struct_0(sK13_skl)|~sQ16_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f441])).
% 1.14/0.57 fof(f444,definition,(
% 1.14/0.57 sQ17_spl <=> (v10_lattices(sK13_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f446,plain,(
% 1.14/0.57 ~v10_lattices(sK13_skl)|sQ17_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f444])).
% 1.14/0.57 fof(f497,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|k5_lattices(sK0_skl)=k6_lattices(k1_lattice2(sK0_skl))),
% 1.14/0.57 inference(resolution,[status(thm)],[f354,f96])).
% 1.14/0.57 fof(f505,definition,(
% 1.14/0.57 sQ30_spl <=> (k5_lattices(sK0_skl)=k6_lattices(k1_lattice2(sK0_skl)))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f506,plain,(
% 1.14/0.57 k5_lattices(sK0_skl)=k6_lattices(k1_lattice2(sK0_skl))|~sQ30_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f505])).
% 1.14/0.57 fof(f508,plain,(
% 1.14/0.57 sQ2_spl|~sQ3_spl|~sQ8_spl|sQ30_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f497,f371,f374,f401,f505])).
% 1.14/0.57 fof(f519,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|m1_filter_2(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl))),
% 1.14/0.57 inference(resolution,[status(thm)],[f137,f95])).
% 1.14/0.57 fof(f520,definition,(
% 1.14/0.57 sQ32_spl <=> (m1_filter_2(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl)))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f521,plain,(
% 1.14/0.57 m1_filter_2(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl))|~sQ32_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f520])).
% 1.14/0.57 fof(f523,plain,(
% 1.14/0.57 sQ2_spl|~sQ3_spl|~sQ8_spl|sQ32_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f519,f371,f374,f401,f520])).
% 1.14/0.57 fof(f528,definition,(
% 1.14/0.57 sQ33_spl <=> (l3_lattices(k1_lattice2(sK0_skl)))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f530,plain,(
% 1.14/0.57 ~l3_lattices(k1_lattice2(sK0_skl))|sQ33_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f528])).
% 1.14/0.57 fof(f537,plain,(
% 1.14/0.57 l3_lattices(k1_lattice2(sK0_skl))),
% 1.14/0.57 inference(resolution,[status(thm)],[f140,f94])).
% 1.14/0.57 fof(f538,plain,(
% 1.14/0.57 $false|sQ33_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f537,f530])).
% 1.14/0.57 fof(f539,plain,(
% 1.14/0.57 sQ33_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f538])).
% 1.14/0.57 fof(f540,plain,(
% 1.14/0.57 l3_lattices(k1_lattice2(k1_lattice2(sK0_skl)))),
% 1.14/0.57 inference(resolution,[status(thm)],[f537,f140])).
% 1.14/0.57 fof(f549,definition,(
% 1.14/0.57 sQ35_spl <=> (v3_struct_0(k1_lattice2(sK0_skl)))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f550,plain,(
% 1.14/0.57 v3_struct_0(k1_lattice2(sK0_skl))|~sQ35_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f549])).
% 1.14/0.57 fof(f552,definition,(
% 1.14/0.57 sQ36_spl <=> (v10_lattices(k1_lattice2(sK0_skl)))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f592,plain,(
% 1.14/0.57 l1_lattices(sK0_skl)),
% 1.14/0.57 inference(resolution,[status(thm)],[f152,f94])).
% 1.14/0.57 fof(f597,plain,(
% 1.14/0.57 l1_struct_0(sK0_skl)),
% 1.14/0.57 inference(resolution,[status(thm)],[f592,f148])).
% 1.14/0.57 fof(f611,plain,(
% 1.14/0.57 l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))),
% 1.14/0.57 inference(resolution,[status(thm)],[f540,f140])).
% 1.14/0.57 fof(f651,definition,(
% 1.14/0.57 sQ55_spl <=> (l3_lattices(k1_lattice2(k1_lattice2(sK0_skl))))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f653,plain,(
% 1.14/0.57 ~l3_lattices(k1_lattice2(k1_lattice2(sK0_skl)))|sQ55_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f651])).
% 1.14/0.57 fof(f658,plain,(
% 1.14/0.57 $false|sQ55_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f653,f540])).
% 1.14/0.57 fof(f659,plain,(
% 1.14/0.57 sQ55_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f658])).
% 1.14/0.57 fof(f680,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|m2_lattice4(sK1_skl,sK0_skl)),
% 1.14/0.57 inference(resolution,[status(thm)],[f162,f95])).
% 1.14/0.57 fof(f681,definition,(
% 1.14/0.57 sQ61_spl <=> (m2_lattice4(sK1_skl,sK0_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f682,plain,(
% 1.14/0.57 m2_lattice4(sK1_skl,sK0_skl)|~sQ61_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f681])).
% 1.14/0.57 fof(f684,plain,(
% 1.14/0.57 sQ2_spl|~sQ3_spl|~sQ8_spl|sQ61_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f680,f371,f374,f401,f681])).
% 1.14/0.57 fof(f691,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~sQ61_spl),
% 1.14/0.57 inference(resolution,[status(thm)],[f682,f164])).
% 1.14/0.57 fof(f692,definition,(
% 1.14/0.57 sQ63_spl <=> (m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f693,plain,(
% 1.14/0.57 m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~sQ63_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f692])).
% 1.14/0.57 fof(f695,plain,(
% 1.14/0.57 sQ2_spl|~sQ3_spl|~sQ8_spl|sQ63_spl|~sQ61_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f691,f371,f374,f401,f692,f681])).
% 1.14/0.57 fof(f716,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|k7_filter_2(sK0_skl,sK1_skl)=sK1_skl|~sQ63_spl),
% 1.14/0.57 inference(resolution,[status(thm)],[f693,f132])).
% 1.14/0.57 fof(f722,definition,(
% 1.14/0.57 sQ69_spl <=> (k7_filter_2(sK0_skl,sK1_skl)=sK1_skl)),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f723,plain,(
% 1.14/0.57 k7_filter_2(sK0_skl,sK1_skl)=sK1_skl|~sQ69_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f722])).
% 1.14/0.57 fof(f725,plain,(
% 1.14/0.57 sQ2_spl|~sQ3_spl|~sQ8_spl|sQ69_spl|~sQ63_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f716,f371,f374,f401,f722,f692])).
% 1.14/0.57 fof(f726,definition,(
% 1.14/0.57 sQ70_spl <=> (v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl))))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f727,plain,(
% 1.14/0.57 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl)))|~sQ70_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f726])).
% 1.14/0.57 fof(f1039,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~l3_lattices(sK0_skl)|~sQ35_spl),
% 1.14/0.57 inference(resolution,[status(thm)],[f204,f550])).
% 1.14/0.57 fof(f1040,plain,(
% 1.14/0.57 sQ2_spl|~sQ8_spl|~sQ35_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f1039,f371,f401,f549])).
% 1.14/0.57 fof(f1043,definition,(
% 1.14/0.57 sQ125_spl <=> (l1_struct_0(sK0_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1045,plain,(
% 1.14/0.57 ~l1_struct_0(sK0_skl)|sQ125_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1043])).
% 1.14/0.57 fof(f1047,plain,(
% 1.14/0.57 $false|sQ125_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1045,f597])).
% 1.14/0.57 fof(f1048,plain,(
% 1.14/0.57 sQ125_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1047])).
% 1.14/0.57 fof(f1253,definition,(
% 1.14/0.57 sQ166_spl <=> (l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1255,plain,(
% 1.14/0.57 ~l3_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))|sQ166_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1253])).
% 1.14/0.57 fof(f1260,plain,(
% 1.14/0.57 $false|sQ166_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1255,f611])).
% 1.14/0.57 fof(f1261,plain,(
% 1.14/0.57 sQ166_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1260])).
% 1.14/0.57 fof(f1263,definition,(
% 1.14/0.57 sQ168_spl <=> (l3_lattices(sK22_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1265,plain,(
% 1.14/0.57 ~l3_lattices(sK22_skl)|sQ168_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1263])).
% 1.14/0.57 fof(f1270,plain,(
% 1.14/0.57 $false|sQ168_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1265,f294])).
% 1.14/0.57 fof(f1271,plain,(
% 1.14/0.57 sQ168_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1270])).
% 1.14/0.57 fof(f1341,definition,(
% 1.14/0.57 sQ180_spl <=> (v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1342,plain,(
% 1.14/0.57 v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))|~sQ180_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1341])).
% 1.14/0.57 fof(f1348,plain,(
% 1.14/0.57 $false|~sQ180_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1342,f208])).
% 1.14/0.57 fof(f1349,plain,(
% 1.14/0.57 ~sQ180_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1348])).
% 1.14/0.57 fof(f1351,plain,(
% 1.14/0.57 $false|~sQ70_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f727,f208])).
% 1.14/0.57 fof(f1352,plain,(
% 1.14/0.57 ~sQ70_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1351])).
% 1.14/0.57 fof(f1368,definition,(
% 1.14/0.57 sQ182_spl <=> (v3_struct_0(sK25_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1369,plain,(
% 1.14/0.57 v3_struct_0(sK25_skl)|~sQ182_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1368])).
% 1.14/0.57 fof(f1415,definition,(
% 1.14/0.57 sQ194_spl <=> (l3_lattices(sK25_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1417,plain,(
% 1.14/0.57 ~l3_lattices(sK25_skl)|sQ194_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1415])).
% 1.14/0.57 fof(f1422,plain,(
% 1.14/0.57 $false|sQ194_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1417,f304])).
% 1.14/0.57 fof(f1423,plain,(
% 1.14/0.57 sQ194_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1422])).
% 1.14/0.57 fof(f1511,definition,(
% 1.14/0.57 sQ211_spl <=> (v3_struct_0(sK26_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1512,plain,(
% 1.14/0.57 v3_struct_0(sK26_skl)|~sQ211_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1511])).
% 1.14/0.57 fof(f1541,definition,(
% 1.14/0.57 sQ219_spl <=> (v7_lattices(sK26_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1543,plain,(
% 1.14/0.57 ~v7_lattices(sK26_skl)|sQ219_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1541])).
% 1.14/0.57 fof(f1545,definition,(
% 1.14/0.57 sQ220_spl <=> (v6_lattices(sK26_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1547,plain,(
% 1.14/0.57 ~v6_lattices(sK26_skl)|sQ220_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1545])).
% 1.14/0.57 fof(f1549,definition,(
% 1.14/0.57 sQ221_spl <=> (v5_lattices(sK26_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1551,plain,(
% 1.14/0.57 ~v5_lattices(sK26_skl)|sQ221_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1549])).
% 1.14/0.57 fof(f1553,definition,(
% 1.14/0.57 sQ222_spl <=> (v4_lattices(sK26_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1555,plain,(
% 1.14/0.57 ~v4_lattices(sK26_skl)|sQ222_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1553])).
% 1.14/0.57 fof(f1558,definition,(
% 1.14/0.57 sQ223_spl <=> (l3_lattices(sK26_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1560,plain,(
% 1.14/0.57 ~l3_lattices(sK26_skl)|sQ223_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1558])).
% 1.14/0.57 fof(f1565,plain,(
% 1.14/0.57 $false|sQ223_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1560,f308])).
% 1.14/0.57 fof(f1566,plain,(
% 1.14/0.57 sQ223_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1565])).
% 1.14/0.57 fof(f1619,definition,(
% 1.14/0.57 sQ232_spl <=> (v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl)))))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f1620,plain,(
% 1.14/0.57 v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl))))|~sQ232_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f1619])).
% 1.14/0.57 fof(f1626,plain,(
% 1.14/0.57 $false|~sQ232_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1620,f208])).
% 1.14/0.57 fof(f1627,plain,(
% 1.14/0.57 ~sQ232_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1626])).
% 1.14/0.57 fof(f1822,plain,(
% 1.14/0.57 $false|~sQ211_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1512,f309])).
% 1.14/0.57 fof(f1823,plain,(
% 1.14/0.57 ~sQ211_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1822])).
% 1.14/0.57 fof(f1824,plain,(
% 1.14/0.57 $false|~sQ182_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1369,f305])).
% 1.14/0.57 fof(f1825,plain,(
% 1.14/0.57 ~sQ182_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1824])).
% 1.14/0.57 fof(f1834,plain,(
% 1.14/0.57 $false|sQ17_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f446,f263])).
% 1.14/0.57 fof(f1835,plain,(
% 1.14/0.57 sQ17_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1834])).
% 1.14/0.57 fof(f1836,plain,(
% 1.14/0.57 $false|sQ222_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1555,f311])).
% 1.14/0.57 fof(f1837,plain,(
% 1.14/0.57 sQ222_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1836])).
% 1.14/0.57 fof(f1838,plain,(
% 1.14/0.57 $false|sQ221_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1551,f312])).
% 1.14/0.57 fof(f1839,plain,(
% 1.14/0.57 sQ221_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1838])).
% 1.14/0.57 fof(f1840,plain,(
% 1.14/0.57 $false|sQ220_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1547,f313])).
% 1.14/0.57 fof(f1841,plain,(
% 1.14/0.57 sQ220_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1840])).
% 1.14/0.57 fof(f1842,plain,(
% 1.14/0.57 $false|sQ219_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1543,f314])).
% 1.14/0.57 fof(f1843,plain,(
% 1.14/0.57 sQ219_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f1842])).
% 1.14/0.57 fof(f1924,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|v10_lattices(k1_lattice2(sK0_skl))),
% 1.14/0.57 inference(resolution,[status(thm)],[f248,f94])).
% 1.14/0.57 fof(f1951,plain,(
% 1.14/0.57 sQ2_spl|~sQ3_spl|sQ36_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f1924,f371,f374,f552])).
% 1.14/0.57 fof(f2130,plain,(
% 1.14/0.57 $false|~sQ16_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f442,f255])).
% 1.14/0.57 fof(f2131,plain,(
% 1.14/0.57 ~sQ16_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f2130])).
% 1.14/0.57 fof(f2137,definition,(
% 1.14/0.57 sQ314_spl <=> (v3_struct_0(sK23_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f2138,plain,(
% 1.14/0.57 v3_struct_0(sK23_skl)|~sQ314_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f2137])).
% 1.14/0.57 fof(f2163,plain,(
% 1.14/0.57 $false|~sQ314_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f2138,f298])).
% 1.14/0.57 fof(f2164,plain,(
% 1.14/0.57 ~sQ314_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f2163])).
% 1.14/0.57 fof(f2167,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|k15_filter_2(sK0_skl,sK1_skl)=k7_filter_2(sK0_skl,sK1_skl)),
% 1.14/0.57 inference(resolution,[status(thm)],[f319,f95])).
% 1.14/0.57 fof(f2176,definition,(
% 1.14/0.57 sQ323_spl <=> (k15_filter_2(sK0_skl,sK1_skl)=k7_filter_2(sK0_skl,sK1_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f2177,plain,(
% 1.14/0.57 k15_filter_2(sK0_skl,sK1_skl)=k7_filter_2(sK0_skl,sK1_skl)|~sQ323_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f2176])).
% 1.14/0.57 fof(f2179,plain,(
% 1.14/0.57 sQ2_spl|~sQ3_spl|~sQ8_spl|sQ323_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f2167,f371,f374,f401,f2176])).
% 1.14/0.57 fof(f2180,plain,(
% 1.14/0.57 k15_filter_2(sK0_skl,sK1_skl)=sK1_skl|~sQ69_spl|~sQ323_spl),
% 1.14/0.57 inference(forward_demodulation,[status(thm)],[f723,f2177])).
% 1.14/0.57 fof(f2184,plain,(
% 1.14/0.57 v3_struct_0(k1_lattice2(sK0_skl))|~v10_lattices(k1_lattice2(sK0_skl))|~l3_lattices(k1_lattice2(sK0_skl))|m1_filter_0(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl))|~sQ32_spl),
% 1.14/0.57 inference(resolution,[status(thm)],[f323,f521])).
% 1.14/0.57 fof(f2197,definition,(
% 1.14/0.57 sQ327_spl <=> (m1_filter_0(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl)))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f2198,plain,(
% 1.14/0.57 m1_filter_0(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl))|~sQ327_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f2197])).
% 1.14/0.57 fof(f2200,plain,(
% 1.14/0.57 sQ35_spl|~sQ36_spl|~sQ33_spl|sQ327_spl|~sQ32_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f2184,f549,f552,f528,f2197,f520])).
% 1.14/0.57 fof(f2282,definition,(
% 1.14/0.57 sQ339_spl <=> (v14_lattices(k1_lattice2(sK0_skl)))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f2307,plain,(
% 1.14/0.57 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~l3_lattices(sK0_skl)|v14_lattices(k1_lattice2(sK0_skl))),
% 1.14/0.57 inference(resolution,[status(thm)],[f349,f96])).
% 1.14/0.57 fof(f2312,plain,(
% 1.14/0.57 sQ2_spl|~sQ3_spl|~sQ8_spl|sQ339_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f2307,f371,f374,f401,f2282])).
% 1.14/0.57 fof(f2355,plain,(
% 1.14/0.57 m1_filter_0(sK1_skl,k1_lattice2(sK0_skl))|~sQ69_spl|~sQ323_spl|~sQ327_spl),
% 1.14/0.57 inference(forward_demodulation,[status(thm)],[f2180,f2198])).
% 1.14/0.57 fof(f2356,plain,(
% 1.14/0.57 v3_struct_0(k1_lattice2(sK0_skl))|~v10_lattices(k1_lattice2(sK0_skl))|~l3_lattices(k1_lattice2(sK0_skl))|~v14_lattices(k1_lattice2(sK0_skl))|r2_hidden(k6_lattices(k1_lattice2(sK0_skl)),sK1_skl)|~sQ69_spl|~sQ323_spl|~sQ327_spl),
% 1.14/0.57 inference(resolution,[status(thm)],[f2355,f361])).
% 1.14/0.57 fof(f2360,definition,(
% 1.14/0.57 sQ352_spl <=> (r2_hidden(k6_lattices(k1_lattice2(sK0_skl)),sK1_skl))),
% 1.14/0.57 introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition])).
% 1.14/0.57 fof(f2361,plain,(
% 1.14/0.57 r2_hidden(k6_lattices(k1_lattice2(sK0_skl)),sK1_skl)|~sQ352_spl),
% 1.14/0.57 inference(component_clause,[status(thm)],[f2360])).
% 1.14/0.57 fof(f2363,plain,(
% 1.14/0.57 sQ35_spl|~sQ36_spl|~sQ33_spl|~sQ339_spl|sQ352_spl|~sQ69_spl|~sQ323_spl|~sQ327_spl),
% 1.14/0.57 inference(split_clause,[status(thm)],[f2356,f549,f552,f528,f2282,f2360,f722,f2176,f2197])).
% 1.14/0.57 fof(f2373,plain,(
% 1.14/0.57 r2_hidden(k5_lattices(sK0_skl),sK1_skl)|~sQ30_spl|~sQ352_spl),
% 1.14/0.57 inference(forward_demodulation,[status(thm)],[f506,f2361])).
% 1.14/0.57 fof(f2374,plain,(
% 1.14/0.57 $false|~sQ30_spl|~sQ352_spl),
% 1.14/0.57 inference(forward_subsumption_resolution,[status(thm)],[f2373,f97])).
% 1.14/0.57 fof(f2375,plain,(
% 1.14/0.57 ~sQ30_spl|~sQ352_spl),
% 1.14/0.57 inference(contradiction_clause,[status(thm)],[f2374])).
% 1.14/0.57 fof(f2376,plain,(
% 1.14/0.57 $false),
% 1.14/0.57 inference(sat_refutation,[status(thm)],[f387,f389,f409,f508,f523,f539,f659,f684,f695,f725,f1040,f1048,f1261,f1271,f1349,f1352,f1423,f1566,f1627,f1823,f1825,f1835,f1837,f1839,f1841,f1843,f1951,f2131,f2164,f2179,f2200,f2312,f2363,f2375])).
% 1.14/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 1.14/0.59 % Elapsed time: 0.207542 seconds
% 1.14/0.59 % CPU time: 1.361010 seconds
% 1.14/0.59 % Total memory used: 115.989 MB
% 1.14/0.59 % Net memory used: 114.984 MB
%------------------------------------------------------------------------------