TSTP Solution File: LAT304+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT304+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:25:43 EDT 2024
% Result : Theorem 10.08s 1.62s
% Output : CNFRefutation 10.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT304+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n012.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 19:52:27 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 10.08/1.62 % Refutation found
% 10.08/1.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.08/1.62 % SZS output start CNFRefutation for theBenchmark
% 10.08/1.62 fof(f1,conjecture,(
% 10.08/1.62 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> m2_filter_2(u1_struct_0(A),A) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f2,negated_conjecture,(
% 10.08/1.62 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> m2_filter_2(u1_struct_0(A),A) ) ))),
% 10.08/1.62 inference(negated_conjecture,[status(cth)],[f1])).
% 10.08/1.62 fof(f3,axiom,(
% 10.08/1.62 (! [A] :( l3_lattices(A)=> ( v3_lattices(A)=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f10,axiom,(
% 10.08/1.62 (! [A] :( l3_lattices(A)=> k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f12,axiom,(
% 10.08/1.62 (! [A] :( l3_lattices(A)=> ( v3_lattices(k1_lattice2(A))& l3_lattices(k1_lattice2(A)) ) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f19,axiom,(
% 10.08/1.62 (! [A] :( l3_lattices(A)=> ( l1_lattices(A)& l2_lattices(A) ) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f27,axiom,(
% 10.08/1.62 (! [A] :( l1_lattices(A)=> ( v1_funct_1(u1_lattices(A))& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))& m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f29,axiom,(
% 10.08/1.62 (! [A] :( l2_lattices(A)=> ( v1_funct_1(u2_lattices(A))& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))& m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f41,axiom,(
% 10.08/1.62 (! [A] :( ( ~ v3_struct_0(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k1_lattice2(A))& v3_lattices(k1_lattice2(A)) ) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f51,axiom,(
% 10.08/1.62 (! [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)) ) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f52,axiom,(
% 10.08/1.62 (! [A,B,C] :( ( v1_funct_1(B)& v1_funct_2(B,k2_zfmisc_1(A,A),A)& m1_relset_1(B,k2_zfmisc_1(A,A),A)& v1_funct_1(C)& v1_funct_2(C,k2_zfmisc_1(A,A),A)& m1_relset_1(C,k2_zfmisc_1(A,A),A) )=> (! [D,E,F] :( g3_lattices(A,B,C) = g3_lattices(D,E,F)=> ( A = D& B = E& C = F ) ) )) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f66,axiom,(
% 10.08/1.62 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_filter_2(B,A)<=> m1_filter_0(B,A) ) )) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f67,axiom,(
% 10.08/1.62 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f69,axiom,(
% 10.08/1.62 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> m1_filter_0(u1_struct_0(A),A) ) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f71,axiom,(
% 10.08/1.62 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m2_filter_2(B,A)<=> m1_filter_2(B,k1_lattice2(A)) ) )) )),
% 10.08/1.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.08/1.62 fof(f79,plain,(
% 10.08/1.62 (?[A]: (((~v3_struct_0(A)&v10_lattices(A))&l3_lattices(A))&~m2_filter_2(u1_struct_0(A),A)))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 10.08/1.62 fof(f80,plain,(
% 10.08/1.62 (((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&l3_lattices(sk0_0))&~m2_filter_2(u1_struct_0(sk0_0),sk0_0))),
% 10.08/1.62 inference(skolemization,[status(esa)],[f79])).
% 10.08/1.62 fof(f81,plain,(
% 10.08/1.62 ~v3_struct_0(sk0_0)),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f80])).
% 10.08/1.62 fof(f82,plain,(
% 10.08/1.62 v10_lattices(sk0_0)),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f80])).
% 10.08/1.62 fof(f83,plain,(
% 10.08/1.62 l3_lattices(sk0_0)),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f80])).
% 10.08/1.62 fof(f84,plain,(
% 10.08/1.62 ~m2_filter_2(u1_struct_0(sk0_0),sk0_0)),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f80])).
% 10.08/1.62 fof(f85,plain,(
% 10.08/1.62 ![A]: (~l3_lattices(A)|(~v3_lattices(A)|A=g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 10.08/1.62 fof(f86,plain,(
% 10.08/1.62 ![X0]: (~l3_lattices(X0)|~v3_lattices(X0)|X0=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f85])).
% 10.08/1.62 fof(f109,plain,(
% 10.08/1.62 ![A]: (~l3_lattices(A)|k1_lattice2(A)=g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 10.08/1.62 fof(f110,plain,(
% 10.08/1.62 ![X0]: (~l3_lattices(X0)|k1_lattice2(X0)=g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f109])).
% 10.08/1.62 fof(f114,plain,(
% 10.08/1.62 ![A]: (~l3_lattices(A)|(v3_lattices(k1_lattice2(A))&l3_lattices(k1_lattice2(A))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 10.08/1.62 fof(f115,plain,(
% 10.08/1.62 ![X0]: (~l3_lattices(X0)|v3_lattices(k1_lattice2(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f114])).
% 10.08/1.62 fof(f116,plain,(
% 10.08/1.62 ![X0]: (~l3_lattices(X0)|l3_lattices(k1_lattice2(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f114])).
% 10.08/1.62 fof(f121,plain,(
% 10.08/1.62 ![A]: (~l3_lattices(A)|(l1_lattices(A)&l2_lattices(A)))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 10.08/1.62 fof(f122,plain,(
% 10.08/1.62 ![X0]: (~l3_lattices(X0)|l1_lattices(X0))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f121])).
% 10.08/1.62 fof(f123,plain,(
% 10.08/1.62 ![X0]: (~l3_lattices(X0)|l2_lattices(X0))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f121])).
% 10.08/1.62 fof(f137,plain,(
% 10.08/1.62 ![A]: (~l1_lattices(A)|((v1_funct_1(u1_lattices(A))&v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))&m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 10.08/1.62 fof(f138,plain,(
% 10.08/1.62 ![X0]: (~l1_lattices(X0)|v1_funct_1(u1_lattices(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f137])).
% 10.08/1.62 fof(f139,plain,(
% 10.08/1.62 ![X0]: (~l1_lattices(X0)|v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f137])).
% 10.08/1.62 fof(f140,plain,(
% 10.08/1.62 ![X0]: (~l1_lattices(X0)|m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f137])).
% 10.08/1.62 fof(f141,plain,(
% 10.08/1.62 ![A]: (~l2_lattices(A)|((v1_funct_1(u2_lattices(A))&v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))&m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 10.08/1.62 fof(f142,plain,(
% 10.08/1.62 ![X0]: (~l2_lattices(X0)|v1_funct_1(u2_lattices(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f141])).
% 10.08/1.62 fof(f143,plain,(
% 10.08/1.62 ![X0]: (~l2_lattices(X0)|v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f141])).
% 10.08/1.62 fof(f144,plain,(
% 10.08/1.62 ![X0]: (~l2_lattices(X0)|m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f141])).
% 10.08/1.62 fof(f171,plain,(
% 10.08/1.62 ![A]: ((v3_struct_0(A)|~l3_lattices(A))|(~v3_struct_0(k1_lattice2(A))&v3_lattices(k1_lattice2(A))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 10.08/1.62 fof(f172,plain,(
% 10.08/1.62 ![X0]: (v3_struct_0(X0)|~l3_lattices(X0)|~v3_struct_0(k1_lattice2(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f171])).
% 10.08/1.62 fof(f207,plain,(
% 10.08/1.62 ![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))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 10.08/1.62 fof(f216,plain,(
% 10.08/1.62 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|v10_lattices(k1_lattice2(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f207])).
% 10.08/1.62 fof(f217,plain,(
% 10.08/1.62 ![A,B,C]: ((((((~v1_funct_1(B)|~v1_funct_2(B,k2_zfmisc_1(A,A),A))|~m1_relset_1(B,k2_zfmisc_1(A,A),A))|~v1_funct_1(C))|~v1_funct_2(C,k2_zfmisc_1(A,A),A))|~m1_relset_1(C,k2_zfmisc_1(A,A),A))|(![D,E,F]: (~g3_lattices(A,B,C)=g3_lattices(D,E,F)|((A=D&B=E)&C=F))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 10.08/1.62 fof(f218,plain,(
% 10.08/1.62 ![X0,X1,X2,X3,X4,X5]: (~v1_funct_1(X0)|~v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)|~m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)|~v1_funct_1(X2)|~v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)|~m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)|~g3_lattices(X1,X0,X2)=g3_lattices(X3,X4,X5)|X1=X3)),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f217])).
% 10.08/1.62 fof(f272,plain,(
% 10.08/1.62 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (m1_filter_2(B,A)<=>m1_filter_0(B,A))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f66])).
% 10.08/1.62 fof(f273,plain,(
% 10.08/1.62 ![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)))))),
% 10.08/1.62 inference(NNF_transformation,[status(esa)],[f272])).
% 10.08/1.62 fof(f274,plain,(
% 10.08/1.62 ![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)))))),
% 10.08/1.62 inference(miniscoping,[status(esa)],[f273])).
% 10.08/1.62 fof(f276,plain,(
% 10.08/1.62 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|m1_filter_2(X1,X0)|~m1_filter_0(X1,X0))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f274])).
% 10.08/1.62 fof(f277,plain,(
% 10.08/1.62 ![A,B,C]: ((~m2_relset_1(C,A,B)|m1_relset_1(C,A,B))&(m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 10.08/1.62 inference(NNF_transformation,[status(esa)],[f67])).
% 10.08/1.62 fof(f278,plain,(
% 10.08/1.62 (![A,B,C]: (~m2_relset_1(C,A,B)|m1_relset_1(C,A,B)))&(![A,B,C]: (m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 10.08/1.62 inference(miniscoping,[status(esa)],[f277])).
% 10.08/1.62 fof(f279,plain,(
% 10.08/1.62 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f278])).
% 10.08/1.62 fof(f283,plain,(
% 10.08/1.62 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|m1_filter_0(u1_struct_0(A),A))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 10.08/1.62 fof(f284,plain,(
% 10.08/1.62 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|m1_filter_0(u1_struct_0(X0),X0))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f283])).
% 10.08/1.62 fof(f287,plain,(
% 10.08/1.62 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (m2_filter_2(B,A)<=>m1_filter_2(B,k1_lattice2(A)))))),
% 10.08/1.62 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 10.08/1.62 fof(f288,plain,(
% 10.08/1.62 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: ((~m2_filter_2(B,A)|m1_filter_2(B,k1_lattice2(A)))&(m2_filter_2(B,A)|~m1_filter_2(B,k1_lattice2(A))))))),
% 10.08/1.62 inference(NNF_transformation,[status(esa)],[f287])).
% 10.08/1.62 fof(f289,plain,(
% 10.08/1.62 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|((![B]: (~m2_filter_2(B,A)|m1_filter_2(B,k1_lattice2(A))))&(![B]: (m2_filter_2(B,A)|~m1_filter_2(B,k1_lattice2(A))))))),
% 10.08/1.62 inference(miniscoping,[status(esa)],[f288])).
% 10.08/1.62 fof(f291,plain,(
% 10.08/1.62 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|m2_filter_2(X1,X0)|~m1_filter_2(X1,k1_lattice2(X0)))),
% 10.08/1.62 inference(cnf_transformation,[status(esa)],[f289])).
% 10.08/1.62 fof(f389,plain,(
% 10.08/1.62 spl0_18 <=> v3_struct_0(sk0_0)),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f390,plain,(
% 10.08/1.62 v3_struct_0(sk0_0)|~spl0_18),
% 10.08/1.62 inference(component_clause,[status(thm)],[f389])).
% 10.08/1.62 fof(f392,plain,(
% 10.08/1.62 spl0_19 <=> v10_lattices(sk0_0)),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f394,plain,(
% 10.08/1.62 ~v10_lattices(sk0_0)|spl0_19),
% 10.08/1.62 inference(component_clause,[status(thm)],[f392])).
% 10.08/1.62 fof(f400,plain,(
% 10.08/1.62 $false|spl0_19),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f394,f82])).
% 10.08/1.62 fof(f401,plain,(
% 10.08/1.62 spl0_19),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f400])).
% 10.08/1.62 fof(f402,plain,(
% 10.08/1.62 $false|~spl0_18),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f390,f81])).
% 10.08/1.62 fof(f403,plain,(
% 10.08/1.62 ~spl0_18),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f402])).
% 10.08/1.62 fof(f414,plain,(
% 10.08/1.62 l1_lattices(sk0_0)),
% 10.08/1.62 inference(resolution,[status(thm)],[f122,f83])).
% 10.08/1.62 fof(f474,plain,(
% 10.08/1.62 l2_lattices(sk0_0)),
% 10.08/1.62 inference(resolution,[status(thm)],[f123,f83])).
% 10.08/1.62 fof(f486,plain,(
% 10.08/1.62 v3_lattices(k1_lattice2(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f115,f83])).
% 10.08/1.62 fof(f487,plain,(
% 10.08/1.62 spl0_31 <=> l3_lattices(k1_lattice2(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f489,plain,(
% 10.08/1.62 ~l3_lattices(k1_lattice2(sk0_0))|spl0_31),
% 10.08/1.62 inference(component_clause,[status(thm)],[f487])).
% 10.08/1.62 fof(f490,plain,(
% 10.08/1.62 spl0_32 <=> k1_lattice2(sk0_0)=g3_lattices(u1_struct_0(k1_lattice2(sk0_0)),u2_lattices(k1_lattice2(sk0_0)),u1_lattices(k1_lattice2(sk0_0)))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f491,plain,(
% 10.08/1.62 k1_lattice2(sk0_0)=g3_lattices(u1_struct_0(k1_lattice2(sk0_0)),u2_lattices(k1_lattice2(sk0_0)),u1_lattices(k1_lattice2(sk0_0)))|~spl0_32),
% 10.08/1.62 inference(component_clause,[status(thm)],[f490])).
% 10.08/1.62 fof(f493,plain,(
% 10.08/1.62 ~l3_lattices(k1_lattice2(sk0_0))|k1_lattice2(sk0_0)=g3_lattices(u1_struct_0(k1_lattice2(sk0_0)),u2_lattices(k1_lattice2(sk0_0)),u1_lattices(k1_lattice2(sk0_0)))),
% 10.08/1.62 inference(resolution,[status(thm)],[f486,f86])).
% 10.08/1.62 fof(f494,plain,(
% 10.08/1.62 ~spl0_31|spl0_32),
% 10.08/1.62 inference(split_clause,[status(thm)],[f493,f487,f490])).
% 10.08/1.62 fof(f539,plain,(
% 10.08/1.62 l3_lattices(k1_lattice2(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f116,f83])).
% 10.08/1.62 fof(f540,plain,(
% 10.08/1.62 $false|spl0_31),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f539,f489])).
% 10.08/1.62 fof(f541,plain,(
% 10.08/1.62 spl0_31),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f540])).
% 10.08/1.62 fof(f545,plain,(
% 10.08/1.62 spl0_41 <=> v3_struct_0(k1_lattice2(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f546,plain,(
% 10.08/1.62 v3_struct_0(k1_lattice2(sk0_0))|~spl0_41),
% 10.08/1.62 inference(component_clause,[status(thm)],[f545])).
% 10.08/1.62 fof(f548,plain,(
% 10.08/1.62 spl0_42 <=> v10_lattices(k1_lattice2(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f794,plain,(
% 10.08/1.62 v1_funct_1(u1_lattices(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f138,f414])).
% 10.08/1.62 fof(f806,plain,(
% 10.08/1.62 v1_funct_1(u2_lattices(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f142,f474])).
% 10.08/1.62 fof(f1054,plain,(
% 10.08/1.62 spl0_132 <=> l3_lattices(sk0_0)),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f1056,plain,(
% 10.08/1.62 ~l3_lattices(sk0_0)|spl0_132),
% 10.08/1.62 inference(component_clause,[status(thm)],[f1054])).
% 10.08/1.62 fof(f1073,plain,(
% 10.08/1.62 $false|spl0_132),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f1056,f83])).
% 10.08/1.62 fof(f1074,plain,(
% 10.08/1.62 spl0_132),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f1073])).
% 10.08/1.62 fof(f1087,plain,(
% 10.08/1.62 k1_lattice2(sk0_0)=g3_lattices(u1_struct_0(sk0_0),u1_lattices(sk0_0),u2_lattices(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f110,f83])).
% 10.08/1.62 fof(f1669,plain,(
% 10.08/1.62 v3_struct_0(sk0_0)|~l3_lattices(sk0_0)|~spl0_41),
% 10.08/1.62 inference(resolution,[status(thm)],[f546,f172])).
% 10.08/1.62 fof(f1670,plain,(
% 10.08/1.62 spl0_18|~spl0_132|~spl0_41),
% 10.08/1.62 inference(split_clause,[status(thm)],[f1669,f389,f1054,f545])).
% 10.08/1.62 fof(f2085,plain,(
% 10.08/1.62 v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f139,f414])).
% 10.08/1.62 fof(f2107,plain,(
% 10.08/1.62 m2_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f140,f414])).
% 10.08/1.62 fof(f2129,plain,(
% 10.08/1.62 v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f143,f474])).
% 10.08/1.62 fof(f2151,plain,(
% 10.08/1.62 m2_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f144,f474])).
% 10.08/1.62 fof(f2528,plain,(
% 10.08/1.62 spl0_366 <=> v1_funct_1(u1_lattices(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f2530,plain,(
% 10.08/1.62 ~v1_funct_1(u1_lattices(sk0_0))|spl0_366),
% 10.08/1.62 inference(component_clause,[status(thm)],[f2528])).
% 10.08/1.62 fof(f2531,plain,(
% 10.08/1.62 spl0_367 <=> m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f2533,plain,(
% 10.08/1.62 ~m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|spl0_367),
% 10.08/1.62 inference(component_clause,[status(thm)],[f2531])).
% 10.08/1.62 fof(f2541,plain,(
% 10.08/1.62 $false|spl0_366),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f2530,f794])).
% 10.08/1.62 fof(f2542,plain,(
% 10.08/1.62 spl0_366),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f2541])).
% 10.08/1.62 fof(f2547,plain,(
% 10.08/1.62 spl0_370 <=> v1_funct_1(u2_lattices(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f2549,plain,(
% 10.08/1.62 ~v1_funct_1(u2_lattices(sk0_0))|spl0_370),
% 10.08/1.62 inference(component_clause,[status(thm)],[f2547])).
% 10.08/1.62 fof(f2550,plain,(
% 10.08/1.62 spl0_371 <=> m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f2552,plain,(
% 10.08/1.62 ~m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|spl0_371),
% 10.08/1.62 inference(component_clause,[status(thm)],[f2550])).
% 10.08/1.62 fof(f2560,plain,(
% 10.08/1.62 $false|spl0_370),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f2549,f806])).
% 10.08/1.62 fof(f2561,plain,(
% 10.08/1.62 spl0_370),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f2560])).
% 10.08/1.62 fof(f4392,plain,(
% 10.08/1.62 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|v10_lattices(k1_lattice2(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f216,f83])).
% 10.08/1.62 fof(f4393,plain,(
% 10.08/1.62 spl0_18|~spl0_19|spl0_42),
% 10.08/1.62 inference(split_clause,[status(thm)],[f4392,f389,f392,f548])).
% 10.08/1.62 fof(f4613,plain,(
% 10.08/1.62 spl0_680 <=> m1_filter_0(u1_struct_0(k1_lattice2(sk0_0)),k1_lattice2(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f4614,plain,(
% 10.08/1.62 m1_filter_0(u1_struct_0(k1_lattice2(sk0_0)),k1_lattice2(sk0_0))|~spl0_680),
% 10.08/1.62 inference(component_clause,[status(thm)],[f4613])).
% 10.08/1.62 fof(f4616,plain,(
% 10.08/1.62 v3_struct_0(k1_lattice2(sk0_0))|~v10_lattices(k1_lattice2(sk0_0))|m1_filter_0(u1_struct_0(k1_lattice2(sk0_0)),k1_lattice2(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f284,f539])).
% 10.08/1.62 fof(f4617,plain,(
% 10.08/1.62 spl0_41|~spl0_42|spl0_680),
% 10.08/1.62 inference(split_clause,[status(thm)],[f4616,f545,f548,f4613])).
% 10.08/1.62 fof(f4859,plain,(
% 10.08/1.62 spl0_726 <=> m1_filter_2(u1_struct_0(k1_lattice2(sk0_0)),k1_lattice2(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f4860,plain,(
% 10.08/1.62 m1_filter_2(u1_struct_0(k1_lattice2(sk0_0)),k1_lattice2(sk0_0))|~spl0_726),
% 10.08/1.62 inference(component_clause,[status(thm)],[f4859])).
% 10.08/1.62 fof(f4862,plain,(
% 10.08/1.62 v3_struct_0(k1_lattice2(sk0_0))|~v10_lattices(k1_lattice2(sk0_0))|~l3_lattices(k1_lattice2(sk0_0))|m1_filter_2(u1_struct_0(k1_lattice2(sk0_0)),k1_lattice2(sk0_0))|~spl0_680),
% 10.08/1.62 inference(resolution,[status(thm)],[f276,f4614])).
% 10.08/1.62 fof(f4863,plain,(
% 10.08/1.62 spl0_41|~spl0_42|~spl0_31|spl0_726|~spl0_680),
% 10.08/1.62 inference(split_clause,[status(thm)],[f4862,f545,f548,f487,f4859,f4613])).
% 10.08/1.62 fof(f5339,plain,(
% 10.08/1.62 spl0_818 <=> v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f5341,plain,(
% 10.08/1.62 ~v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|spl0_818),
% 10.08/1.62 inference(component_clause,[status(thm)],[f5339])).
% 10.08/1.62 fof(f5342,plain,(
% 10.08/1.62 spl0_819 <=> v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f5344,plain,(
% 10.08/1.62 ~v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|spl0_819),
% 10.08/1.62 inference(component_clause,[status(thm)],[f5342])).
% 10.08/1.62 fof(f5345,plain,(
% 10.08/1.62 spl0_820 <=> ~k1_lattice2(sk0_0)=g3_lattices(X0,X1,X2)|u1_struct_0(sk0_0)=X0),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f5346,plain,(
% 10.08/1.62 ![X0,X1,X2]: (~k1_lattice2(sk0_0)=g3_lattices(X0,X1,X2)|u1_struct_0(sk0_0)=X0|~spl0_820)),
% 10.08/1.62 inference(component_clause,[status(thm)],[f5345])).
% 10.08/1.62 fof(f5348,plain,(
% 10.08/1.62 ![X0,X1,X2]: (~v1_funct_1(u1_lattices(sk0_0))|~v1_funct_2(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|~m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|~v1_funct_1(u2_lattices(sk0_0))|~v1_funct_2(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|~m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))|~k1_lattice2(sk0_0)=g3_lattices(X0,X1,X2)|u1_struct_0(sk0_0)=X0)),
% 10.08/1.62 inference(paramodulation,[status(thm)],[f1087,f218])).
% 10.08/1.62 fof(f5349,plain,(
% 10.08/1.62 ~spl0_366|~spl0_818|~spl0_367|~spl0_370|~spl0_819|~spl0_371|spl0_820),
% 10.08/1.62 inference(split_clause,[status(thm)],[f5348,f2528,f5339,f2531,f2547,f5342,f2550,f5345])).
% 10.08/1.62 fof(f5626,plain,(
% 10.08/1.62 $false|spl0_819),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f5344,f2129])).
% 10.08/1.62 fof(f5627,plain,(
% 10.08/1.62 spl0_819),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f5626])).
% 10.08/1.62 fof(f5628,plain,(
% 10.08/1.62 $false|spl0_818),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f5341,f2085])).
% 10.08/1.62 fof(f5629,plain,(
% 10.08/1.62 spl0_818),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f5628])).
% 10.08/1.62 fof(f5958,plain,(
% 10.08/1.62 spl0_938 <=> m2_filter_2(u1_struct_0(k1_lattice2(sk0_0)),sk0_0)),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f5959,plain,(
% 10.08/1.62 m2_filter_2(u1_struct_0(k1_lattice2(sk0_0)),sk0_0)|~spl0_938),
% 10.08/1.62 inference(component_clause,[status(thm)],[f5958])).
% 10.08/1.62 fof(f5961,plain,(
% 10.08/1.62 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|m2_filter_2(u1_struct_0(k1_lattice2(sk0_0)),sk0_0)|~spl0_726),
% 10.08/1.62 inference(resolution,[status(thm)],[f4860,f291])).
% 10.08/1.62 fof(f5962,plain,(
% 10.08/1.62 spl0_18|~spl0_19|~spl0_132|spl0_938|~spl0_726),
% 10.08/1.62 inference(split_clause,[status(thm)],[f5961,f389,f392,f1054,f5958,f4859])).
% 10.08/1.62 fof(f6219,plain,(
% 10.08/1.62 spl0_969 <=> k1_lattice2(sk0_0)=k1_lattice2(sk0_0)),
% 10.08/1.62 introduced(split_symbol_definition)).
% 10.08/1.62 fof(f6221,plain,(
% 10.08/1.62 ~k1_lattice2(sk0_0)=k1_lattice2(sk0_0)|spl0_969),
% 10.08/1.62 inference(component_clause,[status(thm)],[f6219])).
% 10.08/1.62 fof(f7299,plain,(
% 10.08/1.62 m1_relset_1(u2_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f279,f2151])).
% 10.08/1.62 fof(f7300,plain,(
% 10.08/1.62 $false|spl0_371),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f7299,f2552])).
% 10.08/1.62 fof(f7301,plain,(
% 10.08/1.62 spl0_371),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f7300])).
% 10.08/1.62 fof(f7319,plain,(
% 10.08/1.62 m1_relset_1(u1_lattices(sk0_0),k2_zfmisc_1(u1_struct_0(sk0_0),u1_struct_0(sk0_0)),u1_struct_0(sk0_0))),
% 10.08/1.62 inference(resolution,[status(thm)],[f279,f2107])).
% 10.08/1.62 fof(f7320,plain,(
% 10.08/1.62 $false|spl0_367),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f7319,f2533])).
% 10.08/1.62 fof(f7321,plain,(
% 10.08/1.62 spl0_367),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f7320])).
% 10.08/1.62 fof(f7355,plain,(
% 10.08/1.62 u1_struct_0(sk0_0)=u1_struct_0(k1_lattice2(sk0_0))|~spl0_820|~spl0_32),
% 10.08/1.62 inference(resolution,[status(thm)],[f5346,f491])).
% 10.08/1.62 fof(f7416,plain,(
% 10.08/1.62 $false|spl0_969),
% 10.08/1.62 inference(trivial_equality_resolution,[status(esa)],[f6221])).
% 10.08/1.62 fof(f7417,plain,(
% 10.08/1.62 spl0_969),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f7416])).
% 10.08/1.62 fof(f7419,plain,(
% 10.08/1.62 m2_filter_2(u1_struct_0(sk0_0),sk0_0)|~spl0_820|~spl0_32|~spl0_938),
% 10.08/1.62 inference(backward_demodulation,[status(thm)],[f7355,f5959])).
% 10.08/1.62 fof(f7420,plain,(
% 10.08/1.62 $false|~spl0_820|~spl0_32|~spl0_938),
% 10.08/1.62 inference(forward_subsumption_resolution,[status(thm)],[f7419,f84])).
% 10.08/1.62 fof(f7421,plain,(
% 10.08/1.62 ~spl0_820|~spl0_32|~spl0_938),
% 10.08/1.62 inference(contradiction_clause,[status(thm)],[f7420])).
% 10.08/1.62 fof(f7422,plain,(
% 10.08/1.62 $false),
% 10.08/1.62 inference(sat_refutation,[status(thm)],[f401,f403,f494,f541,f1074,f1670,f2542,f2561,f4393,f4617,f4863,f5349,f5627,f5629,f5962,f7301,f7321,f7417,f7421])).
% 10.08/1.62 % SZS output end CNFRefutation for theBenchmark.p
% 10.08/1.66 % Elapsed time: 1.339669 seconds
% 10.08/1.66 % CPU time: 10.347119 seconds
% 10.08/1.66 % Total memory used: 169.257 MB
% 10.08/1.66 % Net memory used: 167.524 MB
%------------------------------------------------------------------------------