TSTP Solution File: LAT286+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT286+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:17:17 EDT 2023
% Result : Theorem 0.19s 0.59s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT286+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 09:24:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.19/0.59 % Refutation found
% 0.19/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.59 fof(f1,conjecture,(
% 0.19/0.59 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> m1_subset_1(k2_pre_topc(A),u1_struct_0(k6_lopclset(A))) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f2,negated_conjecture,(
% 0.19/0.59 ~((! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> m1_subset_1(k2_pre_topc(A),u1_struct_0(k6_lopclset(A))) ) ))),
% 0.19/0.59 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.59 fof(f6,axiom,(
% 0.19/0.59 (! [A,B] :(? [C] :( m1_relset_1(C,A,B)& v1_relat_1(C)& v1_funct_1(C)& v1_funct_2(C,A,B) ) ))),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f7,axiom,(
% 0.19/0.59 (! [A,B] :(? [C] :( m1_relset_1(C,A,B)& v1_relat_1(C)& v1_funct_1(C) ) ))),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f9,axiom,(
% 0.19/0.59 (! [A] :( l3_lattices(A)=> ( v3_lattices(A)=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f14,axiom,(
% 0.19/0.59 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f44,axiom,(
% 0.19/0.59 (? [A] :( ~ v1_xboole_0(A)& v1_membered(A)& v2_membered(A)& v3_membered(A)& v4_membered(A)& v5_membered(A) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f53,axiom,(
% 0.19/0.59 (! [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 ) ) )) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f57,axiom,(
% 0.19/0.59 (! [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) )=> ( v3_lattices(g3_lattices(A,B,C))& l3_lattices(g3_lattices(A,B,C)) ) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f58,axiom,(
% 0.19/0.59 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> ( v1_funct_1(k4_lopclset(A))& v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))& m2_relset_1(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) ) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f59,axiom,(
% 0.19/0.59 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> ( v1_funct_1(k5_lopclset(A))& v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))& m2_relset_1(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) ) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f79,axiom,(
% 0.19/0.59 (? [A] : l1_pre_topc(A) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f82,axiom,(
% 0.19/0.59 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(A)) )=> (! [C] :( m2_subset_1(C,A,B)<=> m1_subset_1(C,B) ) )) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f83,axiom,(
% 0.19/0.59 (! [A] :( ( ~ v3_struct_0(A)& l1_pre_topc(A) )=> m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f86,axiom,(
% 0.19/0.59 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> ( ~ v3_struct_0(k6_lopclset(A))& v10_lattices(k6_lopclset(A))& l3_lattices(k6_lopclset(A)) ) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f91,axiom,(
% 0.19/0.59 (! [A] :( ~ v1_xboole_0(k1_zfmisc_1(A))& v1_finsub_1(k1_zfmisc_1(A))& v3_finsub_1(k1_zfmisc_1(A))& v4_finsub_1(k1_zfmisc_1(A)) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f92,axiom,(
% 0.19/0.59 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> ~ v1_xboole_0(k1_lopclset(A)) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f96,axiom,(
% 0.19/0.59 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> k6_lopclset(A) = g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f97,axiom,(
% 0.19/0.59 (! [A] :( ( ~ v3_struct_0(A)& v2_pre_topc(A)& l1_pre_topc(A) )=> m2_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) ) )),
% 0.19/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.59 fof(f98,plain,(
% 0.19/0.59 (?[A]: (((~v3_struct_0(A)&v2_pre_topc(A))&l1_pre_topc(A))&~m1_subset_1(k2_pre_topc(A),u1_struct_0(k6_lopclset(A)))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.59 fof(f99,plain,(
% 0.19/0.59 (((~v3_struct_0(sk0_0)&v2_pre_topc(sk0_0))&l1_pre_topc(sk0_0))&~m1_subset_1(k2_pre_topc(sk0_0),u1_struct_0(k6_lopclset(sk0_0))))),
% 0.19/0.59 inference(skolemization,[status(esa)],[f98])).
% 0.19/0.59 fof(f100,plain,(
% 0.19/0.59 ~v3_struct_0(sk0_0)),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f99])).
% 0.19/0.59 fof(f101,plain,(
% 0.19/0.59 v2_pre_topc(sk0_0)),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f99])).
% 0.19/0.59 fof(f102,plain,(
% 0.19/0.59 l1_pre_topc(sk0_0)),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f99])).
% 0.19/0.59 fof(f103,plain,(
% 0.19/0.59 ~m1_subset_1(k2_pre_topc(sk0_0),u1_struct_0(k6_lopclset(sk0_0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f99])).
% 0.19/0.59 fof(f115,plain,(
% 0.19/0.59 ![A,B]: (((m1_relset_1(sk0_1(B,A),A,B)&v1_relat_1(sk0_1(B,A)))&v1_funct_1(sk0_1(B,A)))&v1_funct_2(sk0_1(B,A),A,B))),
% 0.19/0.59 inference(skolemization,[status(esa)],[f6])).
% 0.19/0.59 fof(f118,plain,(
% 0.19/0.59 ![X0,X1]: (v1_funct_1(sk0_1(X0,X1)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f115])).
% 0.19/0.59 fof(f119,plain,(
% 0.19/0.59 ![X0,X1]: (v1_funct_2(sk0_1(X0,X1),X1,X0))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f115])).
% 0.19/0.59 fof(f120,plain,(
% 0.19/0.59 ![A,B]: ((m1_relset_1(sk0_2(B,A),A,B)&v1_relat_1(sk0_2(B,A)))&v1_funct_1(sk0_2(B,A)))),
% 0.19/0.59 inference(skolemization,[status(esa)],[f7])).
% 0.19/0.59 fof(f123,plain,(
% 0.19/0.59 ![X0,X1]: (v1_funct_1(sk0_2(X0,X1)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f120])).
% 0.19/0.59 fof(f126,plain,(
% 0.19/0.59 ![A]: (~l3_lattices(A)|(~v3_lattices(A)|A=g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.19/0.59 fof(f127,plain,(
% 0.19/0.59 ![X0]: (~l3_lattices(X0)|~v3_lattices(X0)|X0=g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f126])).
% 0.19/0.59 fof(f136,plain,(
% 0.19/0.59 ![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)))),
% 0.19/0.59 inference(NNF_transformation,[status(esa)],[f14])).
% 0.19/0.59 fof(f137,plain,(
% 0.19/0.59 (![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)))),
% 0.19/0.59 inference(miniscoping,[status(esa)],[f136])).
% 0.19/0.59 fof(f138,plain,(
% 0.19/0.59 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f137])).
% 0.19/0.59 fof(f226,plain,(
% 0.19/0.59 (((((~v1_xboole_0(sk0_8)&v1_membered(sk0_8))&v2_membered(sk0_8))&v3_membered(sk0_8))&v4_membered(sk0_8))&v5_membered(sk0_8))),
% 0.19/0.59 inference(skolemization,[status(esa)],[f44])).
% 0.19/0.59 fof(f227,plain,(
% 0.19/0.59 ~v1_xboole_0(sk0_8)),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f226])).
% 0.19/0.59 fof(f269,plain,(
% 0.19/0.59 ![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))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 0.19/0.59 fof(f270,plain,(
% 0.19/0.59 ![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)),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f269])).
% 0.19/0.59 fof(f279,plain,(
% 0.19/0.59 ![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))|(v3_lattices(g3_lattices(A,B,C))&l3_lattices(g3_lattices(A,B,C))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.19/0.59 fof(f280,plain,(
% 0.19/0.59 ![X0,X1,X2]: (~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)|v3_lattices(g3_lattices(X1,X0,X2)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f279])).
% 0.19/0.59 fof(f282,plain,(
% 0.19/0.59 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|((v1_funct_1(k4_lopclset(A))&v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)))&m2_relset_1(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.19/0.59 fof(f283,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v1_funct_1(k4_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f282])).
% 0.19/0.59 fof(f284,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f282])).
% 0.19/0.59 fof(f285,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f282])).
% 0.19/0.59 fof(f286,plain,(
% 0.19/0.59 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|((v1_funct_1(k5_lopclset(A))&v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)))&m2_relset_1(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 0.19/0.59 fof(f287,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v1_funct_1(k5_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f286])).
% 0.19/0.59 fof(f288,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f286])).
% 0.19/0.59 fof(f289,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f286])).
% 0.19/0.59 fof(f358,plain,(
% 0.19/0.59 l1_pre_topc(sk0_22)),
% 0.19/0.59 inference(skolemization,[status(esa)],[f79])).
% 0.19/0.59 fof(f359,plain,(
% 0.19/0.59 l1_pre_topc(sk0_22)),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f358])).
% 0.19/0.59 fof(f365,plain,(
% 0.19/0.59 ![A,B]: (((v1_xboole_0(A)|v1_xboole_0(B))|~m1_subset_1(B,k1_zfmisc_1(A)))|(![C]: (m2_subset_1(C,A,B)<=>m1_subset_1(C,B))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 0.19/0.59 fof(f366,plain,(
% 0.19/0.59 ![A,B]: (((v1_xboole_0(A)|v1_xboole_0(B))|~m1_subset_1(B,k1_zfmisc_1(A)))|(![C]: ((~m2_subset_1(C,A,B)|m1_subset_1(C,B))&(m2_subset_1(C,A,B)|~m1_subset_1(C,B)))))),
% 0.19/0.59 inference(NNF_transformation,[status(esa)],[f365])).
% 0.19/0.59 fof(f367,plain,(
% 0.19/0.59 ![A,B]: (((v1_xboole_0(A)|v1_xboole_0(B))|~m1_subset_1(B,k1_zfmisc_1(A)))|((![C]: (~m2_subset_1(C,A,B)|m1_subset_1(C,B)))&(![C]: (m2_subset_1(C,A,B)|~m1_subset_1(C,B)))))),
% 0.19/0.59 inference(miniscoping,[status(esa)],[f366])).
% 0.19/0.59 fof(f368,plain,(
% 0.19/0.59 ![X0,X1,X2]: (v1_xboole_0(X0)|v1_xboole_0(X1)|~m1_subset_1(X1,k1_zfmisc_1(X0))|~m2_subset_1(X2,X0,X1)|m1_subset_1(X2,X1))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f367])).
% 0.19/0.59 fof(f370,plain,(
% 0.19/0.59 ![A]: ((v3_struct_0(A)|~l1_pre_topc(A))|m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.19/0.59 fof(f371,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~l1_pre_topc(X0)|m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f370])).
% 0.19/0.59 fof(f374,plain,(
% 0.19/0.59 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|((~v3_struct_0(k6_lopclset(A))&v10_lattices(k6_lopclset(A)))&l3_lattices(k6_lopclset(A))))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 0.19/0.59 fof(f377,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|l3_lattices(k6_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f374])).
% 0.19/0.59 fof(f382,plain,(
% 0.19/0.59 (((![A]: ~v1_xboole_0(k1_zfmisc_1(A)))&(![A]: v1_finsub_1(k1_zfmisc_1(A))))&(![A]: v3_finsub_1(k1_zfmisc_1(A))))&(![A]: v4_finsub_1(k1_zfmisc_1(A)))),
% 0.19/0.59 inference(miniscoping,[status(esa)],[f91])).
% 0.19/0.59 fof(f383,plain,(
% 0.19/0.59 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f382])).
% 0.19/0.59 fof(f387,plain,(
% 0.19/0.59 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|~v1_xboole_0(k1_lopclset(A)))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f92])).
% 0.19/0.59 fof(f388,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|~v1_xboole_0(k1_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f387])).
% 0.19/0.59 fof(f397,plain,(
% 0.19/0.59 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|k6_lopclset(A)=g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.19/0.59 fof(f398,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|k6_lopclset(X0)=g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f397])).
% 0.19/0.59 fof(f399,plain,(
% 0.19/0.59 ![A]: (((v3_struct_0(A)|~v2_pre_topc(A))|~l1_pre_topc(A))|m2_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))),
% 0.19/0.59 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.19/0.59 fof(f400,plain,(
% 0.19/0.59 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)))),
% 0.19/0.59 inference(cnf_transformation,[status(esa)],[f399])).
% 0.19/0.59 fof(f401,plain,(
% 0.19/0.59 spl0_0 <=> v2_pre_topc(sk0_0)),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f403,plain,(
% 0.19/0.59 ~v2_pre_topc(sk0_0)|spl0_0),
% 0.19/0.59 inference(component_clause,[status(thm)],[f401])).
% 0.19/0.59 fof(f409,plain,(
% 0.19/0.59 $false|spl0_0),
% 0.19/0.59 inference(forward_subsumption_resolution,[status(thm)],[f403,f101])).
% 0.19/0.59 fof(f410,plain,(
% 0.19/0.59 spl0_0),
% 0.19/0.59 inference(contradiction_clause,[status(thm)],[f409])).
% 0.19/0.59 fof(f411,plain,(
% 0.19/0.59 spl0_2 <=> v3_struct_0(sk0_0)),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f412,plain,(
% 0.19/0.59 v3_struct_0(sk0_0)|~spl0_2),
% 0.19/0.59 inference(component_clause,[status(thm)],[f411])).
% 0.19/0.59 fof(f419,plain,(
% 0.19/0.59 $false|~spl0_2),
% 0.19/0.59 inference(forward_subsumption_resolution,[status(thm)],[f412,f100])).
% 0.19/0.59 fof(f420,plain,(
% 0.19/0.59 ~spl0_2),
% 0.19/0.59 inference(contradiction_clause,[status(thm)],[f419])).
% 0.19/0.59 fof(f421,plain,(
% 0.19/0.59 spl0_4 <=> l3_lattices(k6_lopclset(sk0_0))),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f424,plain,(
% 0.19/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|l3_lattices(k6_lopclset(sk0_0))),
% 0.19/0.59 inference(resolution,[status(thm)],[f377,f102])).
% 0.19/0.59 fof(f425,plain,(
% 0.19/0.59 spl0_2|~spl0_0|spl0_4),
% 0.19/0.59 inference(split_clause,[status(thm)],[f424,f411,f401,f421])).
% 0.19/0.59 fof(f426,plain,(
% 0.19/0.59 spl0_5 <=> m2_subset_1(k2_pre_topc(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)),k1_lopclset(sk0_0))),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f427,plain,(
% 0.19/0.59 m2_subset_1(k2_pre_topc(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)),k1_lopclset(sk0_0))|~spl0_5),
% 0.19/0.59 inference(component_clause,[status(thm)],[f426])).
% 0.19/0.59 fof(f429,plain,(
% 0.19/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|m2_subset_1(k2_pre_topc(sk0_0),k1_zfmisc_1(u1_struct_0(sk0_0)),k1_lopclset(sk0_0))),
% 0.19/0.59 inference(resolution,[status(thm)],[f400,f102])).
% 0.19/0.59 fof(f430,plain,(
% 0.19/0.59 spl0_2|~spl0_0|spl0_5),
% 0.19/0.59 inference(split_clause,[status(thm)],[f429,f411,f401,f426])).
% 0.19/0.59 fof(f1984,plain,(
% 0.19/0.59 spl0_248 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f1985,plain,(
% 0.19/0.59 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_248),
% 0.19/0.59 inference(component_clause,[status(thm)],[f1984])).
% 0.19/0.59 fof(f2084,plain,(
% 0.19/0.59 $false|~spl0_248),
% 0.19/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1985,f383])).
% 0.19/0.59 fof(f2085,plain,(
% 0.19/0.59 ~spl0_248),
% 0.19/0.59 inference(contradiction_clause,[status(thm)],[f2084])).
% 0.19/0.59 fof(f2106,plain,(
% 0.19/0.59 spl0_271 <=> v1_funct_1(k4_lopclset(sk0_0))),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f2109,plain,(
% 0.19/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|v1_funct_1(k4_lopclset(sk0_0))),
% 0.19/0.59 inference(resolution,[status(thm)],[f283,f102])).
% 0.19/0.59 fof(f2110,plain,(
% 0.19/0.59 spl0_2|~spl0_0|spl0_271),
% 0.19/0.59 inference(split_clause,[status(thm)],[f2109,f411,f401,f2106])).
% 0.19/0.59 fof(f2116,plain,(
% 0.19/0.59 spl0_273 <=> v1_funct_1(k5_lopclset(sk0_0))),
% 0.19/0.59 introduced(split_symbol_definition)).
% 0.19/0.59 fof(f2119,plain,(
% 0.19/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|v1_funct_1(k5_lopclset(sk0_0))),
% 1.76/0.59 inference(resolution,[status(thm)],[f287,f102])).
% 1.76/0.59 fof(f2120,plain,(
% 1.76/0.59 spl0_2|~spl0_0|spl0_273),
% 1.76/0.59 inference(split_clause,[status(thm)],[f2119,f411,f401,f2116])).
% 1.76/0.59 fof(f2244,plain,(
% 1.76/0.59 spl0_301 <=> k6_lopclset(sk0_0)=g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f2245,plain,(
% 1.76/0.59 k6_lopclset(sk0_0)=g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0))|~spl0_301),
% 1.76/0.59 inference(component_clause,[status(thm)],[f2244])).
% 1.76/0.59 fof(f2247,plain,(
% 1.76/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|k6_lopclset(sk0_0)=g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0))),
% 1.76/0.59 inference(resolution,[status(thm)],[f398,f102])).
% 1.76/0.59 fof(f2248,plain,(
% 1.76/0.59 spl0_2|~spl0_0|spl0_301),
% 1.76/0.59 inference(split_clause,[status(thm)],[f2247,f411,f401,f2244])).
% 1.76/0.59 fof(f2684,plain,(
% 1.76/0.59 spl0_370 <=> l1_pre_topc(sk0_0)),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f2686,plain,(
% 1.76/0.59 ~l1_pre_topc(sk0_0)|spl0_370),
% 1.76/0.59 inference(component_clause,[status(thm)],[f2684])).
% 1.76/0.59 fof(f2689,plain,(
% 1.76/0.59 $false|spl0_370),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2686,f102])).
% 1.76/0.59 fof(f2690,plain,(
% 1.76/0.59 spl0_370),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f2689])).
% 1.76/0.59 fof(f3183,plain,(
% 1.76/0.59 spl0_427 <=> v1_funct_1(sk0_2(u1_struct_0(k6_lopclset(sk0_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(sk0_0)),u1_struct_0(k6_lopclset(sk0_0)))))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3185,plain,(
% 1.76/0.59 ~v1_funct_1(sk0_2(u1_struct_0(k6_lopclset(sk0_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(sk0_0)),u1_struct_0(k6_lopclset(sk0_0)))))|spl0_427),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3183])).
% 1.76/0.59 fof(f3194,plain,(
% 1.76/0.59 spl0_430 <=> v1_funct_1(sk0_1(u1_struct_0(k6_lopclset(sk0_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(sk0_0)),u1_struct_0(k6_lopclset(sk0_0)))))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3196,plain,(
% 1.76/0.59 ~v1_funct_1(sk0_1(u1_struct_0(k6_lopclset(sk0_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(sk0_0)),u1_struct_0(k6_lopclset(sk0_0)))))|spl0_430),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3194])).
% 1.76/0.59 fof(f3197,plain,(
% 1.76/0.59 spl0_431 <=> v1_funct_2(sk0_1(u1_struct_0(k6_lopclset(sk0_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(sk0_0)),u1_struct_0(k6_lopclset(sk0_0)))),k2_zfmisc_1(u1_struct_0(k6_lopclset(sk0_0)),u1_struct_0(k6_lopclset(sk0_0))),u1_struct_0(k6_lopclset(sk0_0)))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3199,plain,(
% 1.76/0.59 ~v1_funct_2(sk0_1(u1_struct_0(k6_lopclset(sk0_0)),k2_zfmisc_1(u1_struct_0(k6_lopclset(sk0_0)),u1_struct_0(k6_lopclset(sk0_0)))),k2_zfmisc_1(u1_struct_0(k6_lopclset(sk0_0)),u1_struct_0(k6_lopclset(sk0_0))),u1_struct_0(k6_lopclset(sk0_0)))|spl0_431),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3197])).
% 1.76/0.59 fof(f3205,plain,(
% 1.76/0.59 $false|spl0_431),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f3199,f119])).
% 1.76/0.59 fof(f3206,plain,(
% 1.76/0.59 spl0_431),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f3205])).
% 1.76/0.59 fof(f3207,plain,(
% 1.76/0.59 $false|spl0_430),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f3196,f118])).
% 1.76/0.59 fof(f3208,plain,(
% 1.76/0.59 spl0_430),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f3207])).
% 1.76/0.59 fof(f3209,plain,(
% 1.76/0.59 $false|spl0_427),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f3185,f123])).
% 1.76/0.59 fof(f3210,plain,(
% 1.76/0.59 spl0_427),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f3209])).
% 1.76/0.59 fof(f3578,plain,(
% 1.76/0.59 spl0_453 <=> v1_funct_2(k4_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3581,plain,(
% 1.76/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|v1_funct_2(k4_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 inference(resolution,[status(thm)],[f284,f102])).
% 1.76/0.59 fof(f3582,plain,(
% 1.76/0.59 spl0_2|~spl0_0|spl0_453),
% 1.76/0.59 inference(split_clause,[status(thm)],[f3581,f411,f401,f3578])).
% 1.76/0.59 fof(f3588,plain,(
% 1.76/0.59 spl0_455 <=> m2_relset_1(k4_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3589,plain,(
% 1.76/0.59 m2_relset_1(k4_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~spl0_455),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3588])).
% 1.76/0.59 fof(f3591,plain,(
% 1.76/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|m2_relset_1(k4_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 inference(resolution,[status(thm)],[f285,f102])).
% 1.76/0.59 fof(f3592,plain,(
% 1.76/0.59 spl0_2|~spl0_0|spl0_455),
% 1.76/0.59 inference(split_clause,[status(thm)],[f3591,f411,f401,f3588])).
% 1.76/0.59 fof(f3598,plain,(
% 1.76/0.59 spl0_457 <=> v1_funct_2(k5_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3601,plain,(
% 1.76/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|v1_funct_2(k5_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 inference(resolution,[status(thm)],[f288,f102])).
% 1.76/0.59 fof(f3602,plain,(
% 1.76/0.59 spl0_2|~spl0_0|spl0_457),
% 1.76/0.59 inference(split_clause,[status(thm)],[f3601,f411,f401,f3598])).
% 1.76/0.59 fof(f3605,plain,(
% 1.76/0.59 m1_relset_1(k4_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~spl0_455),
% 1.76/0.59 inference(resolution,[status(thm)],[f3589,f138])).
% 1.76/0.59 fof(f3611,plain,(
% 1.76/0.59 spl0_459 <=> ~v1_funct_1(X0)|~v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|v3_lattices(g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),X0))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3612,plain,(
% 1.76/0.59 ![X0]: (~v1_funct_1(X0)|~v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|v3_lattices(g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),X0))|~spl0_459)),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3611])).
% 1.76/0.59 fof(f3614,plain,(
% 1.76/0.59 ![X0]: (~v1_funct_1(k4_lopclset(sk0_0))|~v1_funct_2(k4_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~v1_funct_1(X0)|~v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|v3_lattices(g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),X0))|~spl0_455)),
% 1.76/0.59 inference(resolution,[status(thm)],[f3605,f280])).
% 1.76/0.59 fof(f3615,plain,(
% 1.76/0.59 ~spl0_271|~spl0_453|spl0_459|~spl0_455),
% 1.76/0.59 inference(split_clause,[status(thm)],[f3614,f2106,f3578,f3611,f3588])).
% 1.76/0.59 fof(f3626,plain,(
% 1.76/0.59 spl0_462 <=> ~v1_funct_1(X0)|~v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),X0)=g3_lattices(X1,X2,X3)|k1_lopclset(sk0_0)=X1),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3627,plain,(
% 1.76/0.59 ![X0,X1,X2,X3]: (~v1_funct_1(X0)|~v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),X0)=g3_lattices(X1,X2,X3)|k1_lopclset(sk0_0)=X1|~spl0_462)),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3626])).
% 1.76/0.59 fof(f3629,plain,(
% 1.76/0.59 ![X0,X1,X2,X3]: (~v1_funct_1(k4_lopclset(sk0_0))|~v1_funct_2(k4_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~v1_funct_1(X0)|~v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),X0)=g3_lattices(X1,X2,X3)|k1_lopclset(sk0_0)=X1|~spl0_455)),
% 1.76/0.59 inference(resolution,[status(thm)],[f3605,f270])).
% 1.76/0.59 fof(f3630,plain,(
% 1.76/0.59 ~spl0_271|~spl0_453|spl0_462|~spl0_455),
% 1.76/0.59 inference(split_clause,[status(thm)],[f3629,f2106,f3578,f3626,f3588])).
% 1.76/0.59 fof(f3631,plain,(
% 1.76/0.59 spl0_463 <=> v1_xboole_0(k1_lopclset(sk0_0))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3632,plain,(
% 1.76/0.59 v1_xboole_0(k1_lopclset(sk0_0))|~spl0_463),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3631])).
% 1.76/0.59 fof(f3653,plain,(
% 1.76/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|~l1_pre_topc(sk0_0)|~spl0_463),
% 1.76/0.59 inference(resolution,[status(thm)],[f3632,f388])).
% 1.76/0.59 fof(f3654,plain,(
% 1.76/0.59 spl0_2|~spl0_0|~spl0_370|~spl0_463),
% 1.76/0.59 inference(split_clause,[status(thm)],[f3653,f411,f401,f2684,f3631])).
% 1.76/0.59 fof(f3740,plain,(
% 1.76/0.59 spl0_481 <=> v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3741,plain,(
% 1.76/0.59 v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))))|~spl0_481),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3740])).
% 1.76/0.59 fof(f3808,plain,(
% 1.76/0.59 $false|~spl0_481),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f3741,f383])).
% 1.76/0.59 fof(f3809,plain,(
% 1.76/0.59 ~spl0_481),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f3808])).
% 1.76/0.59 fof(f3837,plain,(
% 1.76/0.59 spl0_500 <=> v1_funct_1(sk0_2(k1_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0))))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3839,plain,(
% 1.76/0.59 ~v1_funct_1(sk0_2(k1_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0))))|spl0_500),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3837])).
% 1.76/0.59 fof(f3848,plain,(
% 1.76/0.59 spl0_503 <=> v1_funct_1(sk0_1(k1_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0))))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3850,plain,(
% 1.76/0.59 ~v1_funct_1(sk0_1(k1_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0))))|spl0_503),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3848])).
% 1.76/0.59 fof(f3851,plain,(
% 1.76/0.59 spl0_504 <=> v1_funct_2(sk0_1(k1_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0))),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f3853,plain,(
% 1.76/0.59 ~v1_funct_2(sk0_1(k1_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0))),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|spl0_504),
% 1.76/0.59 inference(component_clause,[status(thm)],[f3851])).
% 1.76/0.59 fof(f3859,plain,(
% 1.76/0.59 $false|spl0_504),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f3853,f119])).
% 1.76/0.59 fof(f3860,plain,(
% 1.76/0.59 spl0_504),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f3859])).
% 1.76/0.59 fof(f3861,plain,(
% 1.76/0.59 $false|spl0_503),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f3850,f118])).
% 1.76/0.59 fof(f3862,plain,(
% 1.76/0.59 spl0_503),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f3861])).
% 1.76/0.59 fof(f3863,plain,(
% 1.76/0.59 $false|spl0_500),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f3839,f123])).
% 1.76/0.59 fof(f3864,plain,(
% 1.76/0.59 spl0_500),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f3863])).
% 1.76/0.59 fof(f4142,plain,(
% 1.76/0.59 spl0_551 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k4_lopclset(sk0_0)))))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f4143,plain,(
% 1.76/0.59 v1_xboole_0(k1_zfmisc_1(u1_struct_0(g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k4_lopclset(sk0_0)))))|~spl0_551),
% 1.76/0.59 inference(component_clause,[status(thm)],[f4142])).
% 1.76/0.59 fof(f4210,plain,(
% 1.76/0.59 $false|~spl0_551),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f4143,f383])).
% 1.76/0.59 fof(f4211,plain,(
% 1.76/0.59 ~spl0_551),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f4210])).
% 1.76/0.59 fof(f4372,plain,(
% 1.76/0.59 spl0_595 <=> v1_xboole_0(sk0_8)),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f4373,plain,(
% 1.76/0.59 v1_xboole_0(sk0_8)|~spl0_595),
% 1.76/0.59 inference(component_clause,[status(thm)],[f4372])).
% 1.76/0.59 fof(f4380,plain,(
% 1.76/0.59 $false|~spl0_595),
% 1.76/0.59 inference(forward_subsumption_resolution,[status(thm)],[f4373,f227])).
% 1.76/0.59 fof(f4381,plain,(
% 1.76/0.59 ~spl0_595),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f4380])).
% 1.76/0.59 fof(f4867,plain,(
% 1.76/0.59 spl0_648 <=> m2_relset_1(k5_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f4868,plain,(
% 1.76/0.59 m2_relset_1(k5_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~spl0_648),
% 1.76/0.59 inference(component_clause,[status(thm)],[f4867])).
% 1.76/0.59 fof(f4870,plain,(
% 1.76/0.59 v3_struct_0(sk0_0)|~v2_pre_topc(sk0_0)|m2_relset_1(k5_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))),
% 1.76/0.59 inference(resolution,[status(thm)],[f289,f102])).
% 1.76/0.59 fof(f4871,plain,(
% 1.76/0.59 spl0_2|~spl0_0|spl0_648),
% 1.76/0.59 inference(split_clause,[status(thm)],[f4870,f411,f401,f4867])).
% 1.76/0.59 fof(f4931,plain,(
% 1.76/0.59 m1_relset_1(k5_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~spl0_648),
% 1.76/0.59 inference(resolution,[status(thm)],[f4868,f138])).
% 1.76/0.59 fof(f4939,plain,(
% 1.76/0.59 spl0_657 <=> ~g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0))=g3_lattices(X0,X1,X2)|k1_lopclset(sk0_0)=X0),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f4940,plain,(
% 1.76/0.59 ![X0,X1,X2]: (~g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0))=g3_lattices(X0,X1,X2)|k1_lopclset(sk0_0)=X0|~spl0_657)),
% 1.76/0.59 inference(component_clause,[status(thm)],[f4939])).
% 1.76/0.59 fof(f4942,plain,(
% 1.76/0.59 ![X0,X1,X2]: (~v1_funct_1(k5_lopclset(sk0_0))|~v1_funct_2(k5_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|~g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0))=g3_lattices(X0,X1,X2)|k1_lopclset(sk0_0)=X0|~spl0_648|~spl0_462)),
% 1.76/0.59 inference(resolution,[status(thm)],[f4931,f3627])).
% 1.76/0.59 fof(f4943,plain,(
% 1.76/0.59 ~spl0_273|~spl0_457|spl0_657|~spl0_648|~spl0_462),
% 1.76/0.59 inference(split_clause,[status(thm)],[f4942,f2116,f3598,f4939,f4867,f3626])).
% 1.76/0.59 fof(f4954,plain,(
% 1.76/0.59 spl0_660 <=> v3_lattices(g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0)))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f4955,plain,(
% 1.76/0.59 v3_lattices(g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0)))|~spl0_660),
% 1.76/0.59 inference(component_clause,[status(thm)],[f4954])).
% 1.76/0.59 fof(f4957,plain,(
% 1.76/0.59 ~v1_funct_1(k5_lopclset(sk0_0))|~v1_funct_2(k5_lopclset(sk0_0),k2_zfmisc_1(k1_lopclset(sk0_0),k1_lopclset(sk0_0)),k1_lopclset(sk0_0))|v3_lattices(g3_lattices(k1_lopclset(sk0_0),k4_lopclset(sk0_0),k5_lopclset(sk0_0)))|~spl0_648|~spl0_459),
% 1.76/0.59 inference(resolution,[status(thm)],[f4931,f3612])).
% 1.76/0.59 fof(f4958,plain,(
% 1.76/0.59 ~spl0_273|~spl0_457|spl0_660|~spl0_648|~spl0_459),
% 1.76/0.59 inference(split_clause,[status(thm)],[f4957,f2116,f3598,f4954,f4867,f3611])).
% 1.76/0.59 fof(f5010,plain,(
% 1.76/0.59 v3_lattices(k6_lopclset(sk0_0))|~spl0_660|~spl0_301),
% 1.76/0.59 inference(paramodulation,[status(thm)],[f2245,f4955])).
% 1.76/0.59 fof(f5011,plain,(
% 1.76/0.59 spl0_671 <=> k6_lopclset(sk0_0)=g3_lattices(u1_struct_0(k6_lopclset(sk0_0)),u2_lattices(k6_lopclset(sk0_0)),u1_lattices(k6_lopclset(sk0_0)))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f5012,plain,(
% 1.76/0.59 k6_lopclset(sk0_0)=g3_lattices(u1_struct_0(k6_lopclset(sk0_0)),u2_lattices(k6_lopclset(sk0_0)),u1_lattices(k6_lopclset(sk0_0)))|~spl0_671),
% 1.76/0.59 inference(component_clause,[status(thm)],[f5011])).
% 1.76/0.59 fof(f5014,plain,(
% 1.76/0.59 ~l3_lattices(k6_lopclset(sk0_0))|k6_lopclset(sk0_0)=g3_lattices(u1_struct_0(k6_lopclset(sk0_0)),u2_lattices(k6_lopclset(sk0_0)),u1_lattices(k6_lopclset(sk0_0)))|~spl0_660|~spl0_301),
% 1.76/0.59 inference(resolution,[status(thm)],[f5010,f127])).
% 1.76/0.59 fof(f5015,plain,(
% 1.76/0.59 ~spl0_4|spl0_671|~spl0_660|~spl0_301),
% 1.76/0.59 inference(split_clause,[status(thm)],[f5014,f421,f5011,f4954,f2244])).
% 1.76/0.59 fof(f5399,plain,(
% 1.76/0.59 ![X0,X1,X2]: (~k6_lopclset(sk0_0)=g3_lattices(X0,X1,X2)|k1_lopclset(sk0_0)=X0|~spl0_657|~spl0_301)),
% 1.76/0.59 inference(paramodulation,[status(thm)],[f2245,f4940])).
% 1.76/0.59 fof(f5400,plain,(
% 1.76/0.59 spl0_734 <=> k6_lopclset(sk0_0)=k6_lopclset(sk0_0)),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f5402,plain,(
% 1.76/0.59 ~k6_lopclset(sk0_0)=k6_lopclset(sk0_0)|spl0_734),
% 1.76/0.59 inference(component_clause,[status(thm)],[f5400])).
% 1.76/0.59 fof(f5405,plain,(
% 1.76/0.59 $false|spl0_734),
% 1.76/0.59 inference(equality_resolution,[status(esa)],[f5402])).
% 1.76/0.59 fof(f5406,plain,(
% 1.76/0.59 spl0_734),
% 1.76/0.59 inference(contradiction_clause,[status(thm)],[f5405])).
% 1.76/0.59 fof(f5418,plain,(
% 1.76/0.59 k1_lopclset(sk0_0)=u1_struct_0(k6_lopclset(sk0_0))|~spl0_671|~spl0_657|~spl0_301),
% 1.76/0.59 inference(resolution,[status(thm)],[f5012,f5399])).
% 1.76/0.59 fof(f5594,plain,(
% 1.76/0.59 ~m1_subset_1(k2_pre_topc(sk0_0),k1_lopclset(sk0_0))|~spl0_671|~spl0_657|~spl0_301),
% 1.76/0.59 inference(paramodulation,[status(thm)],[f5418,f103])).
% 1.76/0.59 fof(f5696,plain,(
% 1.76/0.59 spl0_746 <=> v1_xboole_0(k1_zfmisc_1(k1_lopclset(sk0_0)))),
% 1.76/0.59 introduced(split_symbol_definition)).
% 1.76/0.59 fof(f5697,plain,(
% 1.76/0.59 v1_xboole_0(k1_zfmisc_1(k1_lopclset(sk0_0)))|~spl0_746),
% 1.76/0.59 inference(component_clause,[status(thm)],[f5696])).
% 1.76/0.60 fof(f5749,plain,(
% 1.76/0.60 $false|~spl0_746),
% 1.76/0.60 inference(forward_subsumption_resolution,[status(thm)],[f5697,f383])).
% 1.76/0.60 fof(f5750,plain,(
% 1.76/0.60 ~spl0_746),
% 1.76/0.60 inference(contradiction_clause,[status(thm)],[f5749])).
% 1.76/0.60 fof(f6320,plain,(
% 1.76/0.60 spl0_802 <=> v1_xboole_0(k1_zfmisc_1(k1_xboole_0))),
% 1.76/0.60 introduced(split_symbol_definition)).
% 1.76/0.60 fof(f6321,plain,(
% 1.76/0.60 v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|~spl0_802),
% 1.76/0.60 inference(component_clause,[status(thm)],[f6320])).
% 1.76/0.60 fof(f6334,plain,(
% 1.76/0.60 $false|~spl0_802),
% 1.76/0.60 inference(forward_subsumption_resolution,[status(thm)],[f6321,f383])).
% 1.76/0.60 fof(f6335,plain,(
% 1.76/0.60 ~spl0_802),
% 1.76/0.60 inference(contradiction_clause,[status(thm)],[f6334])).
% 1.76/0.60 fof(f6340,plain,(
% 1.76/0.60 spl0_805 <=> v1_xboole_0(k1_zfmisc_1(sk0_8))),
% 1.76/0.60 introduced(split_symbol_definition)).
% 1.76/0.60 fof(f6341,plain,(
% 1.76/0.60 v1_xboole_0(k1_zfmisc_1(sk0_8))|~spl0_805),
% 1.76/0.60 inference(component_clause,[status(thm)],[f6340])).
% 1.76/0.60 fof(f6354,plain,(
% 1.76/0.60 $false|~spl0_805),
% 1.76/0.60 inference(forward_subsumption_resolution,[status(thm)],[f6341,f383])).
% 1.76/0.60 fof(f6355,plain,(
% 1.76/0.60 ~spl0_805),
% 1.76/0.60 inference(contradiction_clause,[status(thm)],[f6354])).
% 1.76/0.60 fof(f6423,plain,(
% 1.76/0.60 spl0_823 <=> l1_pre_topc(sk0_22)),
% 1.76/0.60 introduced(split_symbol_definition)).
% 1.76/0.60 fof(f6425,plain,(
% 1.76/0.60 ~l1_pre_topc(sk0_22)|spl0_823),
% 1.76/0.60 inference(component_clause,[status(thm)],[f6423])).
% 1.76/0.60 fof(f6571,plain,(
% 1.76/0.60 $false|spl0_823),
% 1.76/0.60 inference(forward_subsumption_resolution,[status(thm)],[f6425,f359])).
% 1.76/0.60 fof(f6572,plain,(
% 1.76/0.60 spl0_823),
% 1.76/0.60 inference(contradiction_clause,[status(thm)],[f6571])).
% 1.76/0.60 fof(f6779,plain,(
% 1.76/0.60 spl0_915 <=> m1_subset_1(k1_lopclset(sk0_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sk0_0))))),
% 1.76/0.60 introduced(split_symbol_definition)).
% 1.76/0.60 fof(f6782,plain,(
% 1.76/0.60 spl0_916 <=> m1_subset_1(k2_pre_topc(sk0_0),k1_lopclset(sk0_0))),
% 1.76/0.60 introduced(split_symbol_definition)).
% 1.76/0.60 fof(f6783,plain,(
% 1.76/0.60 m1_subset_1(k2_pre_topc(sk0_0),k1_lopclset(sk0_0))|~spl0_916),
% 1.76/0.60 inference(component_clause,[status(thm)],[f6782])).
% 1.76/0.60 fof(f6785,plain,(
% 1.76/0.60 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_0)))|v1_xboole_0(k1_lopclset(sk0_0))|~m1_subset_1(k1_lopclset(sk0_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sk0_0))))|m1_subset_1(k2_pre_topc(sk0_0),k1_lopclset(sk0_0))|~spl0_5),
% 1.76/0.60 inference(resolution,[status(thm)],[f368,f427])).
% 1.76/0.60 fof(f6786,plain,(
% 1.76/0.60 spl0_248|spl0_463|~spl0_915|spl0_916|~spl0_5),
% 1.76/0.60 inference(split_clause,[status(thm)],[f6785,f1984,f3631,f6779,f6782,f426])).
% 1.76/0.60 fof(f6787,plain,(
% 1.76/0.60 $false|~spl0_671|~spl0_657|~spl0_301|~spl0_916),
% 1.76/0.60 inference(forward_subsumption_resolution,[status(thm)],[f6783,f5594])).
% 1.76/0.60 fof(f6788,plain,(
% 1.76/0.60 ~spl0_671|~spl0_657|~spl0_301|~spl0_916),
% 1.76/0.60 inference(contradiction_clause,[status(thm)],[f6787])).
% 1.76/0.60 fof(f6913,plain,(
% 1.76/0.60 v3_struct_0(sk0_0)|m1_subset_1(k1_lopclset(sk0_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sk0_0))))),
% 1.76/0.60 inference(resolution,[status(thm)],[f371,f102])).
% 1.76/0.60 fof(f6914,plain,(
% 1.76/0.60 spl0_2|spl0_915),
% 1.76/0.60 inference(split_clause,[status(thm)],[f6913,f411,f6779])).
% 1.76/0.60 fof(f6915,plain,(
% 1.76/0.60 $false),
% 1.76/0.60 inference(sat_refutation,[status(thm)],[f410,f420,f425,f430,f2085,f2110,f2120,f2248,f2690,f3206,f3208,f3210,f3582,f3592,f3602,f3615,f3630,f3654,f3809,f3860,f3862,f3864,f4211,f4381,f4871,f4943,f4958,f5015,f5406,f5750,f6335,f6355,f6572,f6786,f6788,f6914])).
% 1.76/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.76/0.60 % Elapsed time: 0.251454 seconds
% 1.76/0.60 % CPU time: 1.845271 seconds
% 1.76/0.60 % Memory used: 76.290 MB
%------------------------------------------------------------------------------