TSTP Solution File: LAT289+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:17:18 EDT 2023
% Result : Theorem 0.15s 0.52s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n011.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 09:26:27 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.15/0.34 % Drodi V3.5.1
% 0.15/0.52 % Refutation found
% 0.15/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.52 fof(f1,conjecture,(
% 0.15/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_filter_0(C,A)=> ~ ( v1_filter_0(C,A)& ~ r2_hidden(C,k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B))& r2_hidden(B,C) ) ) )) )) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f2,negated_conjecture,(
% 0.15/0.52 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_filter_0(C,A)=> ~ ( v1_filter_0(C,A)& ~ r2_hidden(C,k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B))& r2_hidden(B,C) ) ) )) )) ))),
% 0.15/0.52 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.52 fof(f23,axiom,(
% 0.15/0.52 ( v1_xboole_0(k1_xboole_0)& v1_membered(k1_xboole_0)& v2_membered(k1_xboole_0)& v3_membered(k1_xboole_0)& v4_membered(k1_xboole_0)& v5_membered(k1_xboole_0) ) ),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f25,axiom,(
% 0.15/0.52 (? [A] :( l3_lattices(A)& ~ v3_struct_0(A)& v4_lattices(A)& v5_lattices(A)& v6_lattices(A)& v7_lattices(A)& v8_lattices(A)& v9_lattices(A)& v10_lattices(A)& v11_lattices(A)& v12_lattices(A)& v13_lattices(A)& v14_lattices(A)& v15_lattices(A)& v16_lattices(A)& v17_lattices(A)& ~ v3_realset2(A) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f35,axiom,(
% 0.15/0.52 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f57,axiom,(
% 0.15/0.52 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f58,axiom,(
% 0.15/0.52 (! [A,B,C] :~ ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C))& v1_xboole_0(C) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f59,axiom,(
% 0.15/0.52 (! [A] :( v1_xboole_0(A)=> A = k1_xboole_0 ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f66,axiom,(
% 0.15/0.52 (! [A] :(? [B] : m1_subset_1(B,A) ))),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f67,axiom,(
% 0.15/0.52 (! [A,B,C,D] :( ( ~ v1_xboole_0(A)& v1_funct_1(C)& v1_funct_2(C,A,B)& m1_relset_1(C,A,B)& m1_subset_1(D,A) )=> k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f68,axiom,(
% 0.15/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> k9_lopclset(A) = k8_lopclset(A) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f74,axiom,(
% 0.15/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> ( v1_funct_1(k9_lopclset(A))& v1_funct_2(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)))& m2_relset_1(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))) ) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f76,axiom,(
% 0.15/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& l3_lattices(A) )=> (! [B] :( m1_filter_0(B,A)=> ( ~ v1_xboole_0(B)& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ) )) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f81,axiom,(
% 0.15/0.52 (! [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)) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f85,axiom,(
% 0.15/0.52 (! [A,B,C] :( ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C)) )=> m1_subset_1(A,C) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f86,axiom,(
% 0.15/0.52 (! [A,B] :~ ( r2_hidden(A,B)& v1_xboole_0(B) ) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f88,axiom,(
% 0.15/0.52 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_filter_0(C,A)=> ( r2_hidden(C,k1_funct_1(k8_lopclset(A),B))<=> ( v1_filter_0(C,A)& r2_hidden(B,C) ) ) ) )) )) )),
% 0.15/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.52 fof(f89,plain,(
% 0.15/0.52 (?[A]: (((((~v3_struct_0(A)&v10_lattices(A))&v17_lattices(A))&~v3_realset2(A))&l3_lattices(A))&(?[B]: (m1_subset_1(B,u1_struct_0(A))&(?[C]: (m1_filter_0(C,A)&((v1_filter_0(C,A)&~r2_hidden(C,k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B)))&r2_hidden(B,C))))))))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.52 fof(f90,plain,(
% 0.15/0.52 (((((~v3_struct_0(sk0_0)&v10_lattices(sk0_0))&v17_lattices(sk0_0))&~v3_realset2(sk0_0))&l3_lattices(sk0_0))&(m1_subset_1(sk0_1,u1_struct_0(sk0_0))&(m1_filter_0(sk0_2,sk0_0)&((v1_filter_0(sk0_2,sk0_0)&~r2_hidden(sk0_2,k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),sk0_1)))&r2_hidden(sk0_1,sk0_2)))))),
% 0.15/0.52 inference(skolemization,[status(esa)],[f89])).
% 0.15/0.52 fof(f91,plain,(
% 0.15/0.52 ~v3_struct_0(sk0_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f92,plain,(
% 0.15/0.52 v10_lattices(sk0_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f93,plain,(
% 0.15/0.52 v17_lattices(sk0_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f94,plain,(
% 0.15/0.52 ~v3_realset2(sk0_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f95,plain,(
% 0.15/0.52 l3_lattices(sk0_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f96,plain,(
% 0.15/0.52 m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f97,plain,(
% 0.15/0.52 m1_filter_0(sk0_2,sk0_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f98,plain,(
% 0.15/0.52 v1_filter_0(sk0_2,sk0_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f99,plain,(
% 0.15/0.52 ~r2_hidden(sk0_2,k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),sk0_1))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f100,plain,(
% 0.15/0.52 r2_hidden(sk0_1,sk0_2)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f90])).
% 0.15/0.52 fof(f159,plain,(
% 0.15/0.52 v1_xboole_0(k1_xboole_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f23])).
% 0.15/0.52 fof(f168,plain,(
% 0.15/0.52 ((((((((((((((((l3_lattices(sk0_4)&~v3_struct_0(sk0_4))&v4_lattices(sk0_4))&v5_lattices(sk0_4))&v6_lattices(sk0_4))&v7_lattices(sk0_4))&v8_lattices(sk0_4))&v9_lattices(sk0_4))&v10_lattices(sk0_4))&v11_lattices(sk0_4))&v12_lattices(sk0_4))&v13_lattices(sk0_4))&v14_lattices(sk0_4))&v15_lattices(sk0_4))&v16_lattices(sk0_4))&v17_lattices(sk0_4))&~v3_realset2(sk0_4))),
% 0.15/0.52 inference(skolemization,[status(esa)],[f25])).
% 0.15/0.52 fof(f185,plain,(
% 0.15/0.52 ~v3_realset2(sk0_4)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f168])).
% 0.15/0.52 fof(f215,plain,(
% 0.15/0.52 ![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)))),
% 0.15/0.52 inference(NNF_transformation,[status(esa)],[f35])).
% 0.15/0.52 fof(f216,plain,(
% 0.15/0.52 (![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)))),
% 0.15/0.52 inference(miniscoping,[status(esa)],[f215])).
% 0.15/0.52 fof(f217,plain,(
% 0.15/0.52 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f216])).
% 0.15/0.52 fof(f289,plain,(
% 0.15/0.52 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.15/0.52 fof(f290,plain,(
% 0.15/0.52 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f289])).
% 0.15/0.52 fof(f291,plain,(
% 0.15/0.52 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|~v1_xboole_0(C))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.15/0.52 fof(f292,plain,(
% 0.15/0.52 ![C]: ((![B]: ((![A]: ~r2_hidden(A,B))|~m1_subset_1(B,k1_zfmisc_1(C))))|~v1_xboole_0(C))),
% 0.15/0.52 inference(miniscoping,[status(esa)],[f291])).
% 0.15/0.52 fof(f293,plain,(
% 0.15/0.52 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|~v1_xboole_0(X2))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f292])).
% 0.15/0.52 fof(f294,plain,(
% 0.15/0.52 ![A]: (~v1_xboole_0(A)|A=k1_xboole_0)),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 0.15/0.52 fof(f295,plain,(
% 0.15/0.52 ![X0]: (~v1_xboole_0(X0)|X0=k1_xboole_0)),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f294])).
% 0.15/0.52 fof(f319,plain,(
% 0.15/0.52 ![A]: m1_subset_1(sk0_21(A),A)),
% 0.15/0.52 inference(skolemization,[status(esa)],[f66])).
% 0.15/0.52 fof(f320,plain,(
% 0.15/0.52 ![X0]: (m1_subset_1(sk0_21(X0),X0))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f319])).
% 0.15/0.52 fof(f321,plain,(
% 0.15/0.52 ![A,B,C,D]: (((((v1_xboole_0(A)|~v1_funct_1(C))|~v1_funct_2(C,A,B))|~m1_relset_1(C,A,B))|~m1_subset_1(D,A))|k8_funct_2(A,B,C,D)=k1_funct_1(C,D))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.15/0.52 fof(f322,plain,(
% 0.15/0.52 ![X0,X1,X2,X3]: (v1_xboole_0(X0)|~v1_funct_1(X1)|~v1_funct_2(X1,X0,X2)|~m1_relset_1(X1,X0,X2)|~m1_subset_1(X3,X0)|k8_funct_2(X0,X2,X1,X3)=k1_funct_1(X1,X3))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f321])).
% 0.15/0.52 fof(f323,plain,(
% 0.15/0.52 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|k9_lopclset(A)=k8_lopclset(A))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.15/0.52 fof(f324,plain,(
% 0.15/0.52 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|k9_lopclset(X0)=k8_lopclset(X0))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f323])).
% 0.15/0.52 fof(f332,plain,(
% 0.15/0.52 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|((v1_funct_1(k9_lopclset(A))&v1_funct_2(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))))&m2_relset_1(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)))))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 0.15/0.52 fof(f333,plain,(
% 0.15/0.52 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|v1_funct_1(k9_lopclset(X0)))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f332])).
% 0.15/0.52 fof(f334,plain,(
% 0.15/0.52 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f332])).
% 0.15/0.52 fof(f335,plain,(
% 0.15/0.52 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f332])).
% 0.15/0.52 fof(f339,plain,(
% 0.15/0.52 ![A]: (((v3_struct_0(A)|~v10_lattices(A))|~l3_lattices(A))|(![B]: (~m1_filter_0(B,A)|(~v1_xboole_0(B)&m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))))))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 0.15/0.52 fof(f341,plain,(
% 0.15/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~l3_lattices(X0)|~m1_filter_0(X1,X0)|m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f339])).
% 0.15/0.52 fof(f357,plain,(
% 0.15/0.52 (((![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)))),
% 0.15/0.52 inference(miniscoping,[status(esa)],[f81])).
% 0.15/0.52 fof(f358,plain,(
% 0.15/0.52 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f357])).
% 0.15/0.52 fof(f370,plain,(
% 0.15/0.52 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|m1_subset_1(A,C))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f85])).
% 0.15/0.52 fof(f371,plain,(
% 0.15/0.52 ![A,C]: ((![B]: (~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C))))|m1_subset_1(A,C))),
% 0.15/0.52 inference(miniscoping,[status(esa)],[f370])).
% 0.15/0.52 fof(f372,plain,(
% 0.15/0.52 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|m1_subset_1(X0,X2))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f371])).
% 0.15/0.52 fof(f373,plain,(
% 0.15/0.52 ![A,B]: (~r2_hidden(A,B)|~v1_xboole_0(B))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 0.15/0.52 fof(f374,plain,(
% 0.15/0.52 ![B]: ((![A]: ~r2_hidden(A,B))|~v1_xboole_0(B))),
% 0.15/0.52 inference(miniscoping,[status(esa)],[f373])).
% 0.15/0.52 fof(f375,plain,(
% 0.15/0.52 ![X0,X1]: (~r2_hidden(X0,X1)|~v1_xboole_0(X1))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f374])).
% 0.15/0.52 fof(f378,plain,(
% 0.15/0.52 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_filter_0(C,A)|(r2_hidden(C,k1_funct_1(k8_lopclset(A),B))<=>(v1_filter_0(C,A)&r2_hidden(B,C))))))))),
% 0.15/0.52 inference(pre_NNF_transformation,[status(esa)],[f88])).
% 0.15/0.52 fof(f379,plain,(
% 0.15/0.52 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_filter_0(C,A)|((~r2_hidden(C,k1_funct_1(k8_lopclset(A),B))|(v1_filter_0(C,A)&r2_hidden(B,C)))&(r2_hidden(C,k1_funct_1(k8_lopclset(A),B))|(~v1_filter_0(C,A)|~r2_hidden(B,C)))))))))),
% 0.15/0.52 inference(NNF_transformation,[status(esa)],[f378])).
% 0.15/0.52 fof(f382,plain,(
% 0.15/0.52 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_filter_0(X2,X0)|r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))|~v1_filter_0(X2,X0)|~r2_hidden(X1,X2))),
% 0.15/0.52 inference(cnf_transformation,[status(esa)],[f379])).
% 0.15/0.52 fof(f386,plain,(
% 0.15/0.52 ![X0,X1,X2]: (~m1_subset_1(X0,X1)|r2_hidden(X0,X1)|~r2_hidden(X2,X1))),
% 0.15/0.52 inference(resolution,[status(thm)],[f290,f375])).
% 0.15/0.52 fof(f387,plain,(
% 0.15/0.52 ![X0]: (~m1_subset_1(X0,sk0_2)|r2_hidden(X0,sk0_2))),
% 0.15/0.52 inference(resolution,[status(thm)],[f386,f100])).
% 0.15/0.52 fof(f388,plain,(
% 0.15/0.52 ![X0,X1,X2,X3]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|~m1_subset_1(X3,X2)|r2_hidden(X3,X2))),
% 0.15/0.52 inference(resolution,[status(thm)],[f293,f290])).
% 0.15/0.52 fof(f390,plain,(
% 0.15/0.52 ![X0]: (~r2_hidden(X0,k1_xboole_0))),
% 0.15/0.52 inference(resolution,[status(thm)],[f159,f375])).
% 0.15/0.52 fof(f392,plain,(
% 0.15/0.52 spl0_0 <=> v3_struct_0(sk0_0)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f393,plain,(
% 0.15/0.52 v3_struct_0(sk0_0)|~spl0_0),
% 0.15/0.52 inference(component_clause,[status(thm)],[f392])).
% 0.15/0.52 fof(f395,plain,(
% 0.15/0.52 spl0_1 <=> v10_lattices(sk0_0)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f397,plain,(
% 0.15/0.52 ~v10_lattices(sk0_0)|spl0_1),
% 0.15/0.52 inference(component_clause,[status(thm)],[f395])).
% 0.15/0.52 fof(f398,plain,(
% 0.15/0.52 spl0_2 <=> l3_lattices(sk0_0)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f400,plain,(
% 0.15/0.52 ~l3_lattices(sk0_0)|spl0_2),
% 0.15/0.52 inference(component_clause,[status(thm)],[f398])).
% 0.15/0.52 fof(f407,plain,(
% 0.15/0.52 spl0_4 <=> v17_lattices(sk0_0)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f409,plain,(
% 0.15/0.52 ~v17_lattices(sk0_0)|spl0_4),
% 0.15/0.52 inference(component_clause,[status(thm)],[f407])).
% 0.15/0.52 fof(f415,plain,(
% 0.15/0.52 $false|spl0_4),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f409,f93])).
% 0.15/0.52 fof(f416,plain,(
% 0.15/0.52 spl0_4),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f415])).
% 0.15/0.52 fof(f417,plain,(
% 0.15/0.52 $false|spl0_2),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f400,f95])).
% 0.15/0.52 fof(f418,plain,(
% 0.15/0.52 spl0_2),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f417])).
% 0.15/0.52 fof(f419,plain,(
% 0.15/0.52 $false|spl0_1),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f397,f92])).
% 0.15/0.52 fof(f420,plain,(
% 0.15/0.52 spl0_1),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f419])).
% 0.15/0.52 fof(f421,plain,(
% 0.15/0.52 $false|~spl0_0),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f393,f91])).
% 0.15/0.52 fof(f422,plain,(
% 0.15/0.52 ~spl0_0),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f421])).
% 0.15/0.52 fof(f427,plain,(
% 0.15/0.52 spl0_7 <=> m1_filter_0(sk0_2,sk0_0)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f429,plain,(
% 0.15/0.52 ~m1_filter_0(sk0_2,sk0_0)|spl0_7),
% 0.15/0.52 inference(component_clause,[status(thm)],[f427])).
% 0.15/0.52 fof(f432,plain,(
% 0.15/0.52 $false|spl0_7),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f429,f97])).
% 0.15/0.52 fof(f433,plain,(
% 0.15/0.52 spl0_7),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f432])).
% 0.15/0.52 fof(f437,plain,(
% 0.15/0.52 spl0_8 <=> k9_lopclset(sk0_0)=k8_lopclset(sk0_0)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f438,plain,(
% 0.15/0.52 k9_lopclset(sk0_0)=k8_lopclset(sk0_0)|~spl0_8),
% 0.15/0.52 inference(component_clause,[status(thm)],[f437])).
% 0.15/0.52 fof(f440,plain,(
% 0.15/0.52 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|~l3_lattices(sk0_0)|k9_lopclset(sk0_0)=k8_lopclset(sk0_0)),
% 0.15/0.52 inference(resolution,[status(thm)],[f324,f94])).
% 0.15/0.52 fof(f441,plain,(
% 0.15/0.52 spl0_0|~spl0_1|~spl0_4|~spl0_2|spl0_8),
% 0.15/0.52 inference(split_clause,[status(thm)],[f440,f392,f395,f407,f398,f437])).
% 0.15/0.52 fof(f448,plain,(
% 0.15/0.52 ![X0,X1,X2]: (~r2_hidden(X0,X1)|m1_subset_1(X0,u1_struct_0(X2))|v3_struct_0(X2)|~v10_lattices(X2)|~l3_lattices(X2)|~m1_filter_0(X1,X2))),
% 0.15/0.52 inference(resolution,[status(thm)],[f372,f341])).
% 0.15/0.52 fof(f450,plain,(
% 0.15/0.52 ![X0,X1,X2]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|~m1_filter_0(X1,X0)|r2_hidden(X1,k1_funct_1(k8_lopclset(X0),X2))|~v1_filter_0(X1,X0)|~r2_hidden(X2,X1))),
% 0.15/0.52 inference(backward_subsumption_resolution,[status(thm)],[f382,f448])).
% 0.15/0.52 fof(f455,plain,(
% 0.15/0.52 ![X0,X1,X2,X3]: (~r2_hidden(X0,X1)|~m1_subset_1(X2,u1_struct_0(X3))|r2_hidden(X2,u1_struct_0(X3))|v3_struct_0(X3)|~v10_lattices(X3)|~l3_lattices(X3)|~m1_filter_0(X1,X3))),
% 0.15/0.52 inference(resolution,[status(thm)],[f388,f341])).
% 0.15/0.52 fof(f463,plain,(
% 0.15/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|v1_xboole_0(u1_struct_0(X0))|~v1_funct_1(k9_lopclset(X0))|~m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))|~m1_subset_1(X1,u1_struct_0(X0))|k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)=k1_funct_1(k9_lopclset(X0),X1))),
% 0.15/0.52 inference(resolution,[status(thm)],[f334,f322])).
% 0.15/0.52 fof(f464,plain,(
% 0.15/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|v1_xboole_0(u1_struct_0(X0))|~m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))|~m1_subset_1(X1,u1_struct_0(X0))|k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)=k1_funct_1(k9_lopclset(X0),X1))),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f463,f333])).
% 0.15/0.52 fof(f465,plain,(
% 0.15/0.52 spl0_10 <=> ~m1_filter_0(X0,sk0_0)|r2_hidden(X0,k1_funct_1(k8_lopclset(sk0_0),X1))|~v1_filter_0(X0,sk0_0)|~r2_hidden(X1,X0)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f466,plain,(
% 0.15/0.52 ![X0,X1]: (~m1_filter_0(X0,sk0_0)|r2_hidden(X0,k1_funct_1(k8_lopclset(sk0_0),X1))|~v1_filter_0(X0,sk0_0)|~r2_hidden(X1,X0)|~spl0_10)),
% 0.15/0.52 inference(component_clause,[status(thm)],[f465])).
% 0.15/0.52 fof(f468,plain,(
% 0.15/0.52 ![X0,X1]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|~l3_lattices(sk0_0)|~m1_filter_0(X0,sk0_0)|r2_hidden(X0,k1_funct_1(k8_lopclset(sk0_0),X1))|~v1_filter_0(X0,sk0_0)|~r2_hidden(X1,X0))),
% 0.15/0.52 inference(resolution,[status(thm)],[f450,f94])).
% 0.15/0.52 fof(f469,plain,(
% 0.15/0.52 spl0_0|~spl0_1|~spl0_4|~spl0_2|spl0_10),
% 0.15/0.52 inference(split_clause,[status(thm)],[f468,f392,f395,f407,f398,f465])).
% 0.15/0.52 fof(f470,plain,(
% 0.15/0.52 ![X0,X1]: (~m1_filter_0(X0,sk0_0)|r2_hidden(X0,k1_funct_1(k9_lopclset(sk0_0),X1))|~v1_filter_0(X0,sk0_0)|~r2_hidden(X1,X0)|~spl0_8|~spl0_10)),
% 0.15/0.52 inference(forward_demodulation,[status(thm)],[f438,f466])).
% 0.15/0.52 fof(f471,plain,(
% 0.15/0.52 spl0_11 <=> r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),X0))|~r2_hidden(X0,sk0_2)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f472,plain,(
% 0.15/0.52 ![X0]: (r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),X0))|~r2_hidden(X0,sk0_2)|~spl0_11)),
% 0.15/0.52 inference(component_clause,[status(thm)],[f471])).
% 0.15/0.52 fof(f474,plain,(
% 0.15/0.52 ![X0]: (~m1_filter_0(sk0_2,sk0_0)|r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),X0))|~r2_hidden(X0,sk0_2)|~spl0_8|~spl0_10)),
% 0.15/0.52 inference(resolution,[status(thm)],[f470,f98])).
% 0.15/0.52 fof(f475,plain,(
% 0.15/0.52 ~spl0_7|spl0_11|~spl0_8|~spl0_10),
% 0.15/0.52 inference(split_clause,[status(thm)],[f474,f427,f471,f437,f465])).
% 0.15/0.52 fof(f476,plain,(
% 0.15/0.52 spl0_12 <=> ~r2_hidden(X0,sk0_2)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f477,plain,(
% 0.15/0.52 ![X0]: (~r2_hidden(X0,sk0_2)|~spl0_12)),
% 0.15/0.52 inference(component_clause,[status(thm)],[f476])).
% 0.15/0.52 fof(f479,plain,(
% 0.15/0.52 spl0_13 <=> ~m1_subset_1(X1,u1_struct_0(sk0_0))|r2_hidden(X1,u1_struct_0(sk0_0))),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f480,plain,(
% 0.15/0.52 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|r2_hidden(X0,u1_struct_0(sk0_0))|~spl0_13)),
% 0.15/0.52 inference(component_clause,[status(thm)],[f479])).
% 0.15/0.52 fof(f482,plain,(
% 0.15/0.52 ![X0,X1]: (~r2_hidden(X0,sk0_2)|~m1_subset_1(X1,u1_struct_0(sk0_0))|r2_hidden(X1,u1_struct_0(sk0_0))|v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0))),
% 0.15/0.52 inference(resolution,[status(thm)],[f455,f97])).
% 0.15/0.52 fof(f483,plain,(
% 0.15/0.52 spl0_12|spl0_13|spl0_0|~spl0_1|~spl0_2),
% 0.15/0.52 inference(split_clause,[status(thm)],[f482,f476,f479,f392,f395,f398])).
% 0.15/0.52 fof(f485,plain,(
% 0.15/0.52 $false|~spl0_12),
% 0.15/0.52 inference(backward_subsumption_resolution,[status(thm)],[f100,f477])).
% 0.15/0.52 fof(f486,plain,(
% 0.15/0.52 ~spl0_12),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f485])).
% 0.15/0.52 fof(f535,plain,(
% 0.15/0.52 r2_hidden(sk0_21(sk0_2),sk0_2)),
% 0.15/0.52 inference(resolution,[status(thm)],[f320,f387])).
% 0.15/0.52 fof(f544,plain,(
% 0.15/0.52 ![X0]: (m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))|v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0))),
% 0.15/0.52 inference(resolution,[status(thm)],[f217,f335])).
% 0.15/0.52 fof(f545,plain,(
% 0.15/0.52 ![X0,X1]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|v1_xboole_0(u1_struct_0(X0))|~m1_subset_1(X1,u1_struct_0(X0))|k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)=k1_funct_1(k9_lopclset(X0),X1))),
% 0.15/0.52 inference(backward_subsumption_resolution,[status(thm)],[f464,f544])).
% 0.15/0.52 fof(f550,plain,(
% 0.15/0.52 spl0_23 <=> v3_realset2(sk0_0)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f551,plain,(
% 0.15/0.52 v3_realset2(sk0_0)|~spl0_23),
% 0.15/0.52 inference(component_clause,[status(thm)],[f550])).
% 0.15/0.52 fof(f559,plain,(
% 0.15/0.52 r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),sk0_1))|~spl0_11),
% 0.15/0.52 inference(resolution,[status(thm)],[f472,f100])).
% 0.15/0.52 fof(f573,plain,(
% 0.15/0.52 spl0_26 <=> v3_realset2(sk0_4)),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f574,plain,(
% 0.15/0.52 v3_realset2(sk0_4)|~spl0_26),
% 0.15/0.52 inference(component_clause,[status(thm)],[f573])).
% 0.15/0.52 fof(f586,plain,(
% 0.15/0.52 $false|~spl0_23),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f551,f94])).
% 0.15/0.52 fof(f587,plain,(
% 0.15/0.52 ~spl0_23),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f586])).
% 0.15/0.52 fof(f611,plain,(
% 0.15/0.52 $false|~spl0_26),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f574,f185])).
% 0.15/0.52 fof(f612,plain,(
% 0.15/0.52 ~spl0_26),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f611])).
% 0.15/0.52 fof(f634,plain,(
% 0.15/0.52 spl0_33 <=> k1_zfmisc_1(u1_struct_0(sk0_4))=k1_xboole_0),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f635,plain,(
% 0.15/0.52 k1_zfmisc_1(u1_struct_0(sk0_4))=k1_xboole_0|~spl0_33),
% 0.15/0.52 inference(component_clause,[status(thm)],[f634])).
% 0.15/0.52 fof(f642,plain,(
% 0.15/0.52 spl0_35 <=> k1_zfmisc_1(u1_struct_0(sk0_0))=k1_xboole_0),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f643,plain,(
% 0.15/0.52 k1_zfmisc_1(u1_struct_0(sk0_0))=k1_xboole_0|~spl0_35),
% 0.15/0.52 inference(component_clause,[status(thm)],[f642])).
% 0.15/0.52 fof(f652,plain,(
% 0.15/0.52 spl0_37 <=> u1_struct_0(sk0_0)=k1_xboole_0),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f653,plain,(
% 0.15/0.52 u1_struct_0(sk0_0)=k1_xboole_0|~spl0_37),
% 0.15/0.52 inference(component_clause,[status(thm)],[f652])).
% 0.15/0.52 fof(f677,plain,(
% 0.15/0.52 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|r2_hidden(X0,k1_xboole_0)|~spl0_37|~spl0_13)),
% 0.15/0.52 inference(backward_demodulation,[status(thm)],[f653,f480])).
% 0.15/0.52 fof(f678,plain,(
% 0.15/0.52 ![X0]: (~m1_subset_1(X0,k1_xboole_0)|r2_hidden(X0,k1_xboole_0)|~spl0_37|~spl0_13)),
% 0.15/0.52 inference(forward_demodulation,[status(thm)],[f653,f677])).
% 0.15/0.52 fof(f679,plain,(
% 0.15/0.52 ![X0]: (~m1_subset_1(X0,k1_xboole_0)|~spl0_37|~spl0_13)),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f678,f390])).
% 0.15/0.52 fof(f681,plain,(
% 0.15/0.52 m1_subset_1(sk0_1,k1_xboole_0)|~spl0_37),
% 0.15/0.52 inference(backward_demodulation,[status(thm)],[f653,f96])).
% 0.15/0.52 fof(f682,plain,(
% 0.15/0.52 $false|~spl0_13|~spl0_37),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f681,f679])).
% 0.15/0.52 fof(f683,plain,(
% 0.15/0.52 ~spl0_13|~spl0_37),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f682])).
% 0.15/0.52 fof(f687,plain,(
% 0.15/0.52 spl0_39 <=> sk0_2=k1_xboole_0),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f688,plain,(
% 0.15/0.52 sk0_2=k1_xboole_0|~spl0_39),
% 0.15/0.52 inference(component_clause,[status(thm)],[f687])).
% 0.15/0.52 fof(f696,plain,(
% 0.15/0.52 spl0_41 <=> k1_zfmisc_1(k1_xboole_0)=k1_xboole_0),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f697,plain,(
% 0.15/0.52 k1_zfmisc_1(k1_xboole_0)=k1_xboole_0|~spl0_41),
% 0.15/0.52 inference(component_clause,[status(thm)],[f696])).
% 0.15/0.52 fof(f720,plain,(
% 0.15/0.52 r2_hidden(sk0_21(sk0_2),k1_xboole_0)|~spl0_39),
% 0.15/0.52 inference(backward_demodulation,[status(thm)],[f688,f535])).
% 0.15/0.52 fof(f721,plain,(
% 0.15/0.52 r2_hidden(sk0_21(k1_xboole_0),k1_xboole_0)|~spl0_39),
% 0.15/0.52 inference(forward_demodulation,[status(thm)],[f688,f720])).
% 0.15/0.52 fof(f722,plain,(
% 0.15/0.52 $false|~spl0_39),
% 0.15/0.52 inference(forward_subsumption_resolution,[status(thm)],[f721,f390])).
% 0.15/0.52 fof(f723,plain,(
% 0.15/0.52 ~spl0_39),
% 0.15/0.52 inference(contradiction_clause,[status(thm)],[f722])).
% 0.15/0.52 fof(f762,plain,(
% 0.15/0.52 spl0_46 <=> v1_xboole_0(u1_struct_0(sk0_0))),
% 0.15/0.52 introduced(split_symbol_definition)).
% 0.15/0.52 fof(f763,plain,(
% 0.15/0.52 v1_xboole_0(u1_struct_0(sk0_0))|~spl0_46),
% 0.15/0.52 inference(component_clause,[status(thm)],[f762])).
% 0.15/0.52 fof(f765,plain,(
% 0.15/0.52 spl0_47 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),X0)=k1_funct_1(k9_lopclset(sk0_0),X0)),
% 0.15/0.53 introduced(split_symbol_definition)).
% 0.15/0.53 fof(f766,plain,(
% 0.15/0.53 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),X0)=k1_funct_1(k9_lopclset(sk0_0),X0)|~spl0_47)),
% 0.15/0.53 inference(component_clause,[status(thm)],[f765])).
% 0.15/0.53 fof(f768,plain,(
% 0.15/0.53 ![X0]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|v3_realset2(sk0_0)|~l3_lattices(sk0_0)|v1_xboole_0(u1_struct_0(sk0_0))|~m1_subset_1(X0,u1_struct_0(sk0_0))|k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),X0)=k1_funct_1(k9_lopclset(sk0_0),X0))),
% 0.15/0.53 inference(resolution,[status(thm)],[f545,f93])).
% 0.15/0.53 fof(f769,plain,(
% 0.15/0.53 spl0_0|~spl0_1|spl0_23|~spl0_2|spl0_46|spl0_47),
% 0.15/0.53 inference(split_clause,[status(thm)],[f768,f392,f395,f550,f398,f762,f765])).
% 0.15/0.53 fof(f883,plain,(
% 0.15/0.53 ~v1_xboole_0(k1_xboole_0)|~spl0_35),
% 0.15/0.53 inference(paramodulation,[status(thm)],[f643,f358])).
% 0.15/0.53 fof(f884,plain,(
% 0.15/0.53 $false|~spl0_35),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f883,f159])).
% 0.15/0.53 fof(f885,plain,(
% 0.15/0.53 ~spl0_35),
% 0.15/0.53 inference(contradiction_clause,[status(thm)],[f884])).
% 0.15/0.53 fof(f919,plain,(
% 0.15/0.53 ~v1_xboole_0(k1_xboole_0)|~spl0_33),
% 0.15/0.53 inference(paramodulation,[status(thm)],[f635,f358])).
% 0.15/0.53 fof(f920,plain,(
% 0.15/0.53 $false|~spl0_33),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f919,f159])).
% 0.15/0.53 fof(f921,plain,(
% 0.15/0.53 ~spl0_33),
% 0.15/0.53 inference(contradiction_clause,[status(thm)],[f920])).
% 0.15/0.53 fof(f924,plain,(
% 0.15/0.53 spl0_63 <=> ~m1_subset_1(X1,k1_xboole_0)|r2_hidden(X1,k1_xboole_0)),
% 0.15/0.53 introduced(split_symbol_definition)).
% 0.15/0.53 fof(f925,plain,(
% 0.15/0.53 ![X0]: (~m1_subset_1(X0,k1_xboole_0)|r2_hidden(X0,k1_xboole_0)|~spl0_63)),
% 0.15/0.53 inference(component_clause,[status(thm)],[f924])).
% 0.15/0.53 fof(f947,plain,(
% 0.15/0.53 ~v1_xboole_0(k1_xboole_0)|~spl0_41),
% 0.15/0.53 inference(paramodulation,[status(thm)],[f697,f358])).
% 0.15/0.53 fof(f948,plain,(
% 0.15/0.53 $false|~spl0_41),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f947,f159])).
% 0.15/0.53 fof(f949,plain,(
% 0.15/0.53 ~spl0_41),
% 0.15/0.53 inference(contradiction_clause,[status(thm)],[f948])).
% 0.15/0.53 fof(f957,plain,(
% 0.15/0.53 u1_struct_0(sk0_0)=k1_xboole_0|~spl0_46),
% 0.15/0.53 inference(resolution,[status(thm)],[f763,f295])).
% 0.15/0.53 fof(f958,plain,(
% 0.15/0.53 spl0_37|~spl0_46),
% 0.15/0.53 inference(split_clause,[status(thm)],[f957,f652,f762])).
% 0.15/0.53 fof(f1057,plain,(
% 0.15/0.53 ![X0]: (~m1_subset_1(X0,k1_xboole_0)|~spl0_63)),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f925,f390])).
% 0.15/0.53 fof(f1058,plain,(
% 0.15/0.53 $false|~spl0_63),
% 0.15/0.53 inference(resolution,[status(thm)],[f1057,f320])).
% 0.15/0.53 fof(f1059,plain,(
% 0.15/0.53 ~spl0_63),
% 0.15/0.53 inference(contradiction_clause,[status(thm)],[f1058])).
% 0.15/0.53 fof(f1092,plain,(
% 0.15/0.53 k8_funct_2(u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)),k9_lopclset(sk0_0),sk0_1)=k1_funct_1(k9_lopclset(sk0_0),sk0_1)|~spl0_47),
% 0.15/0.53 inference(resolution,[status(thm)],[f766,f96])).
% 0.15/0.53 fof(f1100,plain,(
% 0.15/0.53 ~r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),sk0_1))|~spl0_47),
% 0.15/0.53 inference(backward_demodulation,[status(thm)],[f1092,f99])).
% 0.15/0.53 fof(f1101,plain,(
% 0.15/0.53 $false|~spl0_11|~spl0_47),
% 0.15/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1100,f559])).
% 0.15/0.53 fof(f1102,plain,(
% 0.15/0.53 ~spl0_11|~spl0_47),
% 0.15/0.53 inference(contradiction_clause,[status(thm)],[f1101])).
% 0.15/0.53 fof(f1103,plain,(
% 0.15/0.53 $false),
% 0.15/0.53 inference(sat_refutation,[status(thm)],[f416,f418,f420,f422,f433,f441,f469,f475,f483,f486,f587,f612,f683,f723,f769,f885,f921,f949,f958,f1059,f1102])).
% 0.15/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.54 % Elapsed time: 0.198114 seconds
% 0.15/0.54 % CPU time: 1.127900 seconds
% 0.15/0.54 % Memory used: 64.881 MB
%------------------------------------------------------------------------------