TSTP Solution File: LAT289+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n018.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 20:25:38 EDT 2024
% Result : Theorem 3.47s 0.81s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT289+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 : n018.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:12:43 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 3.47/0.81 % Refutation found
% 3.47/0.81 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.47/0.81 % SZS output start CNFRefutation for theBenchmark
% 3.47/0.81 fof(f1,conjecture,(
% 3.47/0.81 (! [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) ) ) )) )) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f2,negated_conjecture,(
% 3.47/0.81 ~((! [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) ) ) )) )) ))),
% 3.47/0.81 inference(negated_conjecture,[status(cth)],[f1])).
% 3.47/0.81 fof(f23,axiom,(
% 3.47/0.81 ( 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) ) ),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f35,axiom,(
% 3.47/0.81 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f58,axiom,(
% 3.47/0.81 (! [A,B,C] :~ ( r2_hidden(A,B)& m1_subset_1(B,k1_zfmisc_1(C))& v1_xboole_0(C) ) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f67,axiom,(
% 3.47/0.81 (! [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) ) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f68,axiom,(
% 3.47/0.81 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> k9_lopclset(A) = k8_lopclset(A) ) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f74,axiom,(
% 3.47/0.81 (! [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))) ) ) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f76,axiom,(
% 3.47/0.81 (! [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))) ) ) )) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f81,axiom,(
% 3.47/0.81 (! [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)) ) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f88,axiom,(
% 3.47/0.81 (! [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) ) ) ) )) )) )),
% 3.47/0.81 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.47/0.81 fof(f89,plain,(
% 3.47/0.81 (?[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))))))))),
% 3.47/0.81 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.47/0.81 fof(f90,plain,(
% 3.47/0.81 (((((~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)))))),
% 3.47/0.81 inference(skolemization,[status(esa)],[f89])).
% 3.47/0.81 fof(f91,plain,(
% 3.47/0.81 ~v3_struct_0(sk0_0)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f92,plain,(
% 3.47/0.81 v10_lattices(sk0_0)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f93,plain,(
% 3.47/0.81 v17_lattices(sk0_0)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f94,plain,(
% 3.47/0.81 ~v3_realset2(sk0_0)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f95,plain,(
% 3.47/0.81 l3_lattices(sk0_0)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f96,plain,(
% 3.47/0.81 m1_subset_1(sk0_1,u1_struct_0(sk0_0))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f97,plain,(
% 3.47/0.81 m1_filter_0(sk0_2,sk0_0)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f98,plain,(
% 3.47/0.81 v1_filter_0(sk0_2,sk0_0)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f99,plain,(
% 3.47/0.81 ~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))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f100,plain,(
% 3.47/0.81 r2_hidden(sk0_1,sk0_2)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f90])).
% 3.47/0.81 fof(f162,plain,(
% 3.47/0.81 v3_membered(k1_xboole_0)),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f23])).
% 3.47/0.81 fof(f215,plain,(
% 3.47/0.81 ![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)))),
% 3.47/0.81 inference(NNF_transformation,[status(esa)],[f35])).
% 3.47/0.81 fof(f216,plain,(
% 3.47/0.81 (![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)))),
% 3.47/0.81 inference(miniscoping,[status(esa)],[f215])).
% 3.47/0.81 fof(f217,plain,(
% 3.47/0.81 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f216])).
% 3.47/0.81 fof(f291,plain,(
% 3.47/0.81 ![A,B,C]: ((~r2_hidden(A,B)|~m1_subset_1(B,k1_zfmisc_1(C)))|~v1_xboole_0(C))),
% 3.47/0.81 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 3.47/0.81 fof(f292,plain,(
% 3.47/0.81 ![C]: ((![B]: ((![A]: ~r2_hidden(A,B))|~m1_subset_1(B,k1_zfmisc_1(C))))|~v1_xboole_0(C))),
% 3.47/0.81 inference(miniscoping,[status(esa)],[f291])).
% 3.47/0.81 fof(f293,plain,(
% 3.47/0.81 ![X0,X1,X2]: (~r2_hidden(X0,X1)|~m1_subset_1(X1,k1_zfmisc_1(X2))|~v1_xboole_0(X2))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f292])).
% 3.47/0.81 fof(f321,plain,(
% 3.47/0.81 ![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))),
% 3.47/0.81 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 3.47/0.81 fof(f322,plain,(
% 3.47/0.81 ![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))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f321])).
% 3.47/0.81 fof(f323,plain,(
% 3.47/0.81 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|k9_lopclset(A)=k8_lopclset(A))),
% 3.47/0.81 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 3.47/0.81 fof(f324,plain,(
% 3.47/0.81 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|k9_lopclset(X0)=k8_lopclset(X0))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f323])).
% 3.47/0.81 fof(f332,plain,(
% 3.47/0.81 ![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)))))),
% 3.47/0.81 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 3.47/0.81 fof(f333,plain,(
% 3.47/0.81 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|v1_funct_1(k9_lopclset(X0)))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f332])).
% 3.47/0.81 fof(f334,plain,(
% 3.47/0.81 ![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))))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f332])).
% 3.47/0.81 fof(f335,plain,(
% 3.47/0.81 ![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))))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f332])).
% 3.47/0.81 fof(f339,plain,(
% 3.47/0.81 ![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)))))))),
% 3.47/0.81 inference(pre_NNF_transformation,[status(esa)],[f76])).
% 3.47/0.81 fof(f341,plain,(
% 3.47/0.81 ![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))))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f339])).
% 3.47/0.81 fof(f357,plain,(
% 3.47/0.81 (((![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)))),
% 3.47/0.81 inference(miniscoping,[status(esa)],[f81])).
% 3.47/0.81 fof(f358,plain,(
% 3.47/0.81 ![X0]: (~v1_xboole_0(k1_zfmisc_1(X0)))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f357])).
% 3.47/0.81 fof(f378,plain,(
% 3.47/0.81 ![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))))))))),
% 3.47/0.81 inference(pre_NNF_transformation,[status(esa)],[f88])).
% 3.47/0.81 fof(f379,plain,(
% 3.47/0.81 ![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)))))))))),
% 3.47/0.81 inference(NNF_transformation,[status(esa)],[f378])).
% 3.47/0.81 fof(f382,plain,(
% 3.47/0.81 ![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))),
% 3.47/0.81 inference(cnf_transformation,[status(esa)],[f379])).
% 3.47/0.81 fof(f395,plain,(
% 3.47/0.81 spl0_2 <=> v1_xboole_0(u1_struct_0(sk0_0))),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f396,plain,(
% 3.47/0.81 v1_xboole_0(u1_struct_0(sk0_0))|~spl0_2),
% 3.47/0.81 inference(component_clause,[status(thm)],[f395])).
% 3.47/0.81 fof(f405,plain,(
% 3.47/0.81 ![X0]: (~m1_subset_1(sk0_2,k1_zfmisc_1(X0))|~v1_xboole_0(X0))),
% 3.47/0.81 inference(resolution,[status(thm)],[f293,f100])).
% 3.47/0.81 fof(f437,plain,(
% 3.47/0.81 spl0_10 <=> v3_struct_0(sk0_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f438,plain,(
% 3.47/0.81 v3_struct_0(sk0_0)|~spl0_10),
% 3.47/0.81 inference(component_clause,[status(thm)],[f437])).
% 3.47/0.81 fof(f440,plain,(
% 3.47/0.81 spl0_11 <=> v10_lattices(sk0_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f442,plain,(
% 3.47/0.81 ~v10_lattices(sk0_0)|spl0_11),
% 3.47/0.81 inference(component_clause,[status(thm)],[f440])).
% 3.47/0.81 fof(f443,plain,(
% 3.47/0.81 spl0_12 <=> l3_lattices(sk0_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f445,plain,(
% 3.47/0.81 ~l3_lattices(sk0_0)|spl0_12),
% 3.47/0.81 inference(component_clause,[status(thm)],[f443])).
% 3.47/0.81 fof(f465,plain,(
% 3.47/0.81 spl0_18 <=> v17_lattices(sk0_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f467,plain,(
% 3.47/0.81 ~v17_lattices(sk0_0)|spl0_18),
% 3.47/0.81 inference(component_clause,[status(thm)],[f465])).
% 3.47/0.81 fof(f468,plain,(
% 3.47/0.81 spl0_19 <=> v3_realset2(sk0_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f469,plain,(
% 3.47/0.81 v3_realset2(sk0_0)|~spl0_19),
% 3.47/0.81 inference(component_clause,[status(thm)],[f468])).
% 3.47/0.81 fof(f471,plain,(
% 3.47/0.81 spl0_20 <=> v1_funct_1(k9_lopclset(sk0_0))),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f474,plain,(
% 3.47/0.81 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|v3_realset2(sk0_0)|v1_funct_1(k9_lopclset(sk0_0))),
% 3.47/0.81 inference(resolution,[status(thm)],[f333,f95])).
% 3.47/0.81 fof(f475,plain,(
% 3.47/0.81 spl0_10|~spl0_11|~spl0_18|spl0_19|spl0_20),
% 3.47/0.81 inference(split_clause,[status(thm)],[f474,f437,f440,f465,f468,f471])).
% 3.47/0.81 fof(f476,plain,(
% 3.47/0.81 $false|spl0_18),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f467,f93])).
% 3.47/0.81 fof(f477,plain,(
% 3.47/0.81 spl0_18),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f476])).
% 3.47/0.81 fof(f482,plain,(
% 3.47/0.81 $false|spl0_12),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f445,f95])).
% 3.47/0.81 fof(f483,plain,(
% 3.47/0.81 spl0_12),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f482])).
% 3.47/0.81 fof(f484,plain,(
% 3.47/0.81 $false|spl0_11),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f442,f92])).
% 3.47/0.81 fof(f485,plain,(
% 3.47/0.81 spl0_11),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f484])).
% 3.47/0.81 fof(f486,plain,(
% 3.47/0.81 $false|~spl0_10),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f438,f91])).
% 3.47/0.81 fof(f487,plain,(
% 3.47/0.81 ~spl0_10),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f486])).
% 3.47/0.81 fof(f488,plain,(
% 3.47/0.81 $false|~spl0_19),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f469,f94])).
% 3.47/0.81 fof(f489,plain,(
% 3.47/0.81 ~spl0_19),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f488])).
% 3.47/0.81 fof(f493,plain,(
% 3.47/0.81 spl0_22 <=> m1_filter_0(sk0_2,sk0_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f495,plain,(
% 3.47/0.81 ~m1_filter_0(sk0_2,sk0_0)|spl0_22),
% 3.47/0.81 inference(component_clause,[status(thm)],[f493])).
% 3.47/0.81 fof(f498,plain,(
% 3.47/0.81 $false|spl0_22),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f495,f97])).
% 3.47/0.81 fof(f499,plain,(
% 3.47/0.81 spl0_22),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f498])).
% 3.47/0.81 fof(f533,plain,(
% 3.47/0.81 spl0_29 <=> k9_lopclset(sk0_0)=k8_lopclset(sk0_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f534,plain,(
% 3.47/0.81 k9_lopclset(sk0_0)=k8_lopclset(sk0_0)|~spl0_29),
% 3.47/0.81 inference(component_clause,[status(thm)],[f533])).
% 3.47/0.81 fof(f536,plain,(
% 3.47/0.81 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|v3_realset2(sk0_0)|k9_lopclset(sk0_0)=k8_lopclset(sk0_0)),
% 3.47/0.81 inference(resolution,[status(thm)],[f324,f95])).
% 3.47/0.81 fof(f537,plain,(
% 3.47/0.81 spl0_10|~spl0_11|~spl0_18|spl0_19|spl0_29),
% 3.47/0.81 inference(split_clause,[status(thm)],[f536,f437,f440,f465,f468,f533])).
% 3.47/0.81 fof(f542,plain,(
% 3.47/0.81 spl0_30 <=> m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f543,plain,(
% 3.47/0.81 m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))|~spl0_30),
% 3.47/0.81 inference(component_clause,[status(thm)],[f542])).
% 3.47/0.81 fof(f545,plain,(
% 3.47/0.81 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~l3_lattices(sk0_0)|m1_subset_1(sk0_2,k1_zfmisc_1(u1_struct_0(sk0_0)))),
% 3.47/0.81 inference(resolution,[status(thm)],[f341,f97])).
% 3.47/0.81 fof(f546,plain,(
% 3.47/0.81 spl0_10|~spl0_11|~spl0_12|spl0_30),
% 3.47/0.81 inference(split_clause,[status(thm)],[f545,f437,f440,f443,f542])).
% 3.47/0.81 fof(f548,plain,(
% 3.47/0.81 ~v1_xboole_0(u1_struct_0(sk0_0))|~spl0_30),
% 3.47/0.81 inference(resolution,[status(thm)],[f543,f405])).
% 3.47/0.81 fof(f549,plain,(
% 3.47/0.81 $false|~spl0_2|~spl0_30),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f548,f396])).
% 3.47/0.81 fof(f550,plain,(
% 3.47/0.81 ~spl0_2|~spl0_30),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f549])).
% 3.47/0.81 fof(f592,plain,(
% 3.47/0.81 spl0_38 <=> v1_funct_2(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f593,plain,(
% 3.47/0.81 v1_funct_2(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))|~spl0_38),
% 3.47/0.81 inference(component_clause,[status(thm)],[f592])).
% 3.47/0.81 fof(f595,plain,(
% 3.47/0.81 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|v3_realset2(sk0_0)|v1_funct_2(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))),
% 3.47/0.81 inference(resolution,[status(thm)],[f334,f95])).
% 3.47/0.81 fof(f596,plain,(
% 3.47/0.81 spl0_10|~spl0_11|~spl0_18|spl0_19|spl0_38),
% 3.47/0.81 inference(split_clause,[status(thm)],[f595,f437,f440,f465,f468,f592])).
% 3.47/0.81 fof(f602,plain,(
% 3.47/0.81 spl0_40 <=> m2_relset_1(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f603,plain,(
% 3.47/0.81 m2_relset_1(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))|~spl0_40),
% 3.47/0.81 inference(component_clause,[status(thm)],[f602])).
% 3.47/0.81 fof(f605,plain,(
% 3.47/0.81 v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|v3_realset2(sk0_0)|m2_relset_1(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))),
% 3.47/0.81 inference(resolution,[status(thm)],[f335,f95])).
% 3.47/0.81 fof(f606,plain,(
% 3.47/0.81 spl0_10|~spl0_11|~spl0_18|spl0_19|spl0_40),
% 3.47/0.81 inference(split_clause,[status(thm)],[f605,f437,f440,f465,f468,f602])).
% 3.47/0.81 fof(f840,plain,(
% 3.47/0.81 spl0_82 <=> m1_relset_1(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f842,plain,(
% 3.47/0.81 ~m1_relset_1(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))|spl0_82),
% 3.47/0.81 inference(component_clause,[status(thm)],[f840])).
% 3.47/0.81 fof(f843,plain,(
% 3.47/0.81 spl0_83 <=> ~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)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f844,plain,(
% 3.47/0.81 ![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_83)),
% 3.47/0.81 inference(component_clause,[status(thm)],[f843])).
% 3.47/0.81 fof(f846,plain,(
% 3.47/0.81 ![X0]: (v1_xboole_0(u1_struct_0(sk0_0))|~v1_funct_1(k9_lopclset(sk0_0))|~m1_relset_1(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(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)|~spl0_38)),
% 3.47/0.81 inference(resolution,[status(thm)],[f593,f322])).
% 3.47/0.81 fof(f847,plain,(
% 3.47/0.81 spl0_2|~spl0_20|~spl0_82|spl0_83|~spl0_38),
% 3.47/0.81 inference(split_clause,[status(thm)],[f846,f395,f471,f840,f843,f592])).
% 3.47/0.81 fof(f1096,plain,(
% 3.47/0.81 m1_relset_1(k9_lopclset(sk0_0),u1_struct_0(sk0_0),k1_zfmisc_1(k7_lopclset(sk0_0)))|~spl0_40),
% 3.47/0.81 inference(resolution,[status(thm)],[f217,f603])).
% 3.47/0.81 fof(f1097,plain,(
% 3.47/0.81 $false|spl0_82|~spl0_40),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f1096,f842])).
% 3.47/0.81 fof(f1098,plain,(
% 3.47/0.81 spl0_82|~spl0_40),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f1097])).
% 3.47/0.81 fof(f2218,plain,(
% 3.47/0.81 spl0_263 <=> ~m1_filter_0(X0,sk0_0)|r2_hidden(X0,k1_funct_1(k8_lopclset(sk0_0),sk0_1))|~v1_filter_0(X0,sk0_0)|~r2_hidden(sk0_1,X0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f2219,plain,(
% 3.47/0.81 ![X0]: (~m1_filter_0(X0,sk0_0)|r2_hidden(X0,k1_funct_1(k8_lopclset(sk0_0),sk0_1))|~v1_filter_0(X0,sk0_0)|~r2_hidden(sk0_1,X0)|~spl0_263)),
% 3.47/0.81 inference(component_clause,[status(thm)],[f2218])).
% 3.47/0.81 fof(f2221,plain,(
% 3.47/0.81 ![X0]: (v3_struct_0(sk0_0)|~v10_lattices(sk0_0)|~v17_lattices(sk0_0)|v3_realset2(sk0_0)|~l3_lattices(sk0_0)|~m1_filter_0(X0,sk0_0)|r2_hidden(X0,k1_funct_1(k8_lopclset(sk0_0),sk0_1))|~v1_filter_0(X0,sk0_0)|~r2_hidden(sk0_1,X0))),
% 3.47/0.81 inference(resolution,[status(thm)],[f382,f96])).
% 3.47/0.81 fof(f2222,plain,(
% 3.47/0.81 spl0_10|~spl0_11|~spl0_18|spl0_19|~spl0_12|spl0_263),
% 3.47/0.81 inference(split_clause,[status(thm)],[f2221,f437,f440,f465,f468,f443,f2218])).
% 3.47/0.81 fof(f2223,plain,(
% 3.47/0.81 ![X0]: (~m1_filter_0(X0,sk0_0)|r2_hidden(X0,k1_funct_1(k9_lopclset(sk0_0),sk0_1))|~v1_filter_0(X0,sk0_0)|~r2_hidden(sk0_1,X0)|~spl0_29|~spl0_263)),
% 3.47/0.81 inference(forward_demodulation,[status(thm)],[f534,f2219])).
% 3.47/0.81 fof(f2625,plain,(
% 3.47/0.81 spl0_320 <=> r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),sk0_1))),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f2626,plain,(
% 3.47/0.81 r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),sk0_1))|~spl0_320),
% 3.47/0.81 inference(component_clause,[status(thm)],[f2625])).
% 3.47/0.81 fof(f2628,plain,(
% 3.47/0.81 spl0_321 <=> v1_filter_0(sk0_2,sk0_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f2630,plain,(
% 3.47/0.81 ~v1_filter_0(sk0_2,sk0_0)|spl0_321),
% 3.47/0.81 inference(component_clause,[status(thm)],[f2628])).
% 3.47/0.81 fof(f2631,plain,(
% 3.47/0.81 ~m1_filter_0(sk0_2,sk0_0)|r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),sk0_1))|~v1_filter_0(sk0_2,sk0_0)|~spl0_29|~spl0_263),
% 3.47/0.81 inference(resolution,[status(thm)],[f2223,f100])).
% 3.47/0.81 fof(f2632,plain,(
% 3.47/0.81 ~spl0_22|spl0_320|~spl0_321|~spl0_29|~spl0_263),
% 3.47/0.81 inference(split_clause,[status(thm)],[f2631,f493,f2625,f2628,f533,f2218])).
% 3.47/0.81 fof(f2633,plain,(
% 3.47/0.81 $false|spl0_321),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2630,f98])).
% 3.47/0.81 fof(f2634,plain,(
% 3.47/0.81 spl0_321),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f2633])).
% 3.47/0.81 fof(f2956,plain,(
% 3.47/0.81 spl0_367 <=> v3_membered(k1_xboole_0)),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f2958,plain,(
% 3.47/0.81 ~v3_membered(k1_xboole_0)|spl0_367),
% 3.47/0.81 inference(component_clause,[status(thm)],[f2956])).
% 3.47/0.81 fof(f2968,plain,(
% 3.47/0.81 $false|spl0_367),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2958,f162])).
% 3.47/0.81 fof(f2969,plain,(
% 3.47/0.81 spl0_367),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f2968])).
% 3.47/0.81 fof(f3212,plain,(
% 3.47/0.81 spl0_404 <=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_19)))),
% 3.47/0.81 introduced(split_symbol_definition)).
% 3.47/0.81 fof(f3213,plain,(
% 3.47/0.81 v1_xboole_0(k1_zfmisc_1(u1_struct_0(sk0_19)))|~spl0_404),
% 3.47/0.81 inference(component_clause,[status(thm)],[f3212])).
% 3.47/0.81 fof(f3220,plain,(
% 3.47/0.81 $false|~spl0_404),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f3213,f358])).
% 3.47/0.81 fof(f3221,plain,(
% 3.47/0.81 ~spl0_404),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f3220])).
% 3.47/0.81 fof(f3292,plain,(
% 3.47/0.81 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_83),
% 3.47/0.81 inference(resolution,[status(thm)],[f844,f96])).
% 3.47/0.81 fof(f3294,plain,(
% 3.47/0.81 ~r2_hidden(sk0_2,k1_funct_1(k9_lopclset(sk0_0),sk0_1))|~spl0_83),
% 3.47/0.81 inference(backward_demodulation,[status(thm)],[f3292,f99])).
% 3.47/0.81 fof(f3295,plain,(
% 3.47/0.81 $false|~spl0_320|~spl0_83),
% 3.47/0.81 inference(forward_subsumption_resolution,[status(thm)],[f3294,f2626])).
% 3.47/0.81 fof(f3296,plain,(
% 3.47/0.81 ~spl0_320|~spl0_83),
% 3.47/0.81 inference(contradiction_clause,[status(thm)],[f3295])).
% 3.47/0.81 fof(f3297,plain,(
% 3.47/0.81 $false),
% 3.47/0.81 inference(sat_refutation,[status(thm)],[f475,f477,f483,f485,f487,f489,f499,f537,f546,f550,f596,f606,f847,f1098,f2222,f2632,f2634,f2969,f3221,f3296])).
% 3.47/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 3.47/0.83 % Elapsed time: 0.465836 seconds
% 3.47/0.83 % CPU time: 3.491511 seconds
% 3.47/0.83 % Total memory used: 94.833 MB
% 3.47/0.83 % Net memory used: 93.604 MB
%------------------------------------------------------------------------------