TSTP Solution File: GRP641+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP641+3 : 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 12:12:22 EDT 2023
% Result : Theorem 13.48s 3.53s
% Output : CNFRefutation 15.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP641+3 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n011.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue May 30 11:32:59 EDT 2023
% 0.10/0.34 % CPUTime :
% 1.57/1.85 % Drodi V3.5.1
% 13.48/3.53 % Refutation found
% 13.48/3.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.48/3.53 % SZS output start CNFRefutation for theBenchmark
% 13.48/3.53 fof(f7470,axiom,(
% 13.48/3.53 (! [A] :( ( ~ v3_struct_0(A)& l1_group_1(A) )=> m1_subset_1(k2_group_1(A),u1_struct_0(A)) ) )),
% 13.48/3.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.48/3.53 fof(f8757,axiom,(
% 13.48/3.53 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> r1_rlvect_1(B,k2_group_1(A)) ) )) )),
% 13.48/3.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.48/3.53 fof(f13982,axiom,(
% 13.48/3.53 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))<=> r1_rlvect_1(B,C) ) ) )) )) )),
% 13.48/3.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.48/3.53 fof(f13983,conjecture,(
% 13.48/3.53 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B)) ) )) )),
% 13.48/3.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.48/3.53 fof(f13984,negated_conjecture,(
% 13.48/3.53 ~((! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( v1_group_1(B)& m1_group_2(B,A) )=> r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B)) ) )) ))),
% 13.48/3.53 inference(negated_conjecture,[status(cth)],[f13983])).
% 13.48/3.53 fof(f36616,plain,(
% 13.48/3.53 ![A]: ((v3_struct_0(A)|~l1_group_1(A))|m1_subset_1(k2_group_1(A),u1_struct_0(A)))),
% 13.48/3.53 inference(pre_NNF_transformation,[status(esa)],[f7470])).
% 13.48/3.53 fof(f36617,plain,(
% 13.48/3.53 ![X0]: (v3_struct_0(X0)|~l1_group_1(X0)|m1_subset_1(k2_group_1(X0),u1_struct_0(X0)))),
% 13.48/3.53 inference(cnf_transformation,[status(esa)],[f36616])).
% 13.48/3.53 fof(f40343,plain,(
% 13.48/3.53 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|r1_rlvect_1(B,k2_group_1(A)))))),
% 13.48/3.53 inference(pre_NNF_transformation,[status(esa)],[f8757])).
% 13.48/3.53 fof(f40344,plain,(
% 13.48/3.53 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|r1_rlvect_1(X1,k2_group_1(X0)))),
% 13.48/3.53 inference(cnf_transformation,[status(esa)],[f40343])).
% 13.48/3.53 fof(f59572,plain,(
% 13.48/3.53 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: ((~v1_group_1(B)|~m1_group_2(B,A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))<=>r1_rlvect_1(B,C)))))))),
% 13.48/3.53 inference(pre_NNF_transformation,[status(esa)],[f13982])).
% 13.48/3.53 fof(f59573,plain,(
% 13.48/3.53 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: ((~v1_group_1(B)|~m1_group_2(B,A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|((~r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))|r1_rlvect_1(B,C))&(r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))|~r1_rlvect_1(B,C))))))))),
% 13.48/3.53 inference(NNF_transformation,[status(esa)],[f59572])).
% 13.48/3.53 fof(f59575,plain,(
% 13.48/3.53 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v1_group_1(X1)|~m1_group_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X0))|r2_hidden(X2,k1_funct_1(k1_latsubgr(X0),X1))|~r1_rlvect_1(X1,X2))),
% 13.48/3.53 inference(cnf_transformation,[status(esa)],[f59573])).
% 13.48/3.53 fof(f59576,plain,(
% 13.48/3.53 (?[A]: ((((~v3_struct_0(A)&v3_group_1(A))&v4_group_1(A))&l1_group_1(A))&(?[B]: ((v1_group_1(B)&m1_group_2(B,A))&~r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B))))))),
% 13.48/3.53 inference(pre_NNF_transformation,[status(esa)],[f13984])).
% 13.48/3.53 fof(f59577,plain,(
% 13.48/3.53 ((((~v3_struct_0(sk0_4179)&v3_group_1(sk0_4179))&v4_group_1(sk0_4179))&l1_group_1(sk0_4179))&((v1_group_1(sk0_4180)&m1_group_2(sk0_4180,sk0_4179))&~r2_hidden(k2_group_1(sk0_4179),k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))))),
% 13.48/3.53 inference(skolemization,[status(esa)],[f59576])).
% 13.48/3.53 fof(f59578,plain,(
% 13.48/3.53 ~v3_struct_0(sk0_4179)),
% 13.48/3.53 inference(cnf_transformation,[status(esa)],[f59577])).
% 13.48/3.53 fof(f59579,plain,(
% 13.48/3.53 v3_group_1(sk0_4179)),
% 13.48/3.53 inference(cnf_transformation,[status(esa)],[f59577])).
% 13.48/3.53 fof(f59580,plain,(
% 13.48/3.53 v4_group_1(sk0_4179)),
% 13.48/3.53 inference(cnf_transformation,[status(esa)],[f59577])).
% 13.48/3.53 fof(f59581,plain,(
% 13.48/3.53 l1_group_1(sk0_4179)),
% 13.48/3.53 inference(cnf_transformation,[status(esa)],[f59577])).
% 13.48/3.53 fof(f59582,plain,(
% 13.48/3.54 v1_group_1(sk0_4180)),
% 13.48/3.54 inference(cnf_transformation,[status(esa)],[f59577])).
% 13.48/3.54 fof(f59583,plain,(
% 13.48/3.54 m1_group_2(sk0_4180,sk0_4179)),
% 13.48/3.54 inference(cnf_transformation,[status(esa)],[f59577])).
% 13.48/3.54 fof(f59584,plain,(
% 13.48/3.54 ~r2_hidden(k2_group_1(sk0_4179),k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))),
% 13.48/3.54 inference(cnf_transformation,[status(esa)],[f59577])).
% 13.48/3.54 fof(f67508,plain,(
% 13.48/3.54 spl0_1250 <=> v3_struct_0(sk0_4179)),
% 13.48/3.54 introduced(split_symbol_definition)).
% 13.48/3.54 fof(f67509,plain,(
% 13.48/3.54 v3_struct_0(sk0_4179)|~spl0_1250),
% 13.48/3.54 inference(component_clause,[status(thm)],[f67508])).
% 13.48/3.54 fof(f67511,plain,(
% 13.48/3.54 spl0_1251 <=> m1_subset_1(k2_group_1(sk0_4179),u1_struct_0(sk0_4179))),
% 13.48/3.54 introduced(split_symbol_definition)).
% 13.48/3.54 fof(f67512,plain,(
% 13.48/3.54 m1_subset_1(k2_group_1(sk0_4179),u1_struct_0(sk0_4179))|~spl0_1251),
% 13.48/3.54 inference(component_clause,[status(thm)],[f67511])).
% 13.48/3.54 fof(f67514,plain,(
% 13.48/3.54 v3_struct_0(sk0_4179)|m1_subset_1(k2_group_1(sk0_4179),u1_struct_0(sk0_4179))),
% 13.48/3.54 inference(resolution,[status(thm)],[f36617,f59581])).
% 13.48/3.54 fof(f67515,plain,(
% 13.48/3.54 spl0_1250|spl0_1251),
% 13.48/3.54 inference(split_clause,[status(thm)],[f67514,f67508,f67511])).
% 13.48/3.54 fof(f67516,plain,(
% 13.48/3.54 $false|~spl0_1250),
% 13.48/3.54 inference(forward_subsumption_resolution,[status(thm)],[f67509,f59578])).
% 13.48/3.54 fof(f67517,plain,(
% 13.48/3.54 ~spl0_1250),
% 13.48/3.54 inference(contradiction_clause,[status(thm)],[f67516])).
% 13.48/3.54 fof(f67520,plain,(
% 13.48/3.54 spl0_1252 <=> v3_group_1(sk0_4179)),
% 13.48/3.54 introduced(split_symbol_definition)).
% 13.48/3.54 fof(f67522,plain,(
% 13.48/3.54 ~v3_group_1(sk0_4179)|spl0_1252),
% 13.48/3.54 inference(component_clause,[status(thm)],[f67520])).
% 13.48/3.54 fof(f67523,plain,(
% 13.48/3.54 spl0_1253 <=> l1_group_1(sk0_4179)),
% 13.48/3.54 introduced(split_symbol_definition)).
% 13.48/3.54 fof(f67525,plain,(
% 13.48/3.54 ~l1_group_1(sk0_4179)|spl0_1253),
% 13.48/3.54 inference(component_clause,[status(thm)],[f67523])).
% 13.48/3.54 fof(f67531,plain,(
% 13.48/3.54 $false|spl0_1253),
% 13.48/3.54 inference(forward_subsumption_resolution,[status(thm)],[f67525,f59581])).
% 13.48/3.54 fof(f67532,plain,(
% 13.48/3.54 spl0_1253),
% 13.48/3.54 inference(contradiction_clause,[status(thm)],[f67531])).
% 13.48/3.54 fof(f67533,plain,(
% 13.48/3.54 $false|spl0_1252),
% 13.48/3.54 inference(forward_subsumption_resolution,[status(thm)],[f67522,f59579])).
% 13.48/3.54 fof(f67534,plain,(
% 13.48/3.54 spl0_1252),
% 13.48/3.54 inference(contradiction_clause,[status(thm)],[f67533])).
% 13.48/3.54 fof(f67721,plain,(
% 13.48/3.54 spl0_1259 <=> v4_group_1(sk0_4179)),
% 13.48/3.54 introduced(split_symbol_definition)).
% 13.48/3.54 fof(f67723,plain,(
% 13.48/3.54 ~v4_group_1(sk0_4179)|spl0_1259),
% 13.48/3.54 inference(component_clause,[status(thm)],[f67721])).
% 13.48/3.54 fof(f67731,plain,(
% 13.48/3.54 $false|spl0_1259),
% 13.48/3.54 inference(forward_subsumption_resolution,[status(thm)],[f67723,f59580])).
% 13.48/3.54 fof(f67732,plain,(
% 13.48/3.54 spl0_1259),
% 13.48/3.54 inference(contradiction_clause,[status(thm)],[f67731])).
% 13.48/3.54 fof(f67921,plain,(
% 13.48/3.54 spl0_1276 <=> r1_rlvect_1(sk0_4180,k2_group_1(sk0_4179))),
% 13.48/3.54 introduced(split_symbol_definition)).
% 13.48/3.54 fof(f67924,plain,(
% 13.48/3.54 v3_struct_0(sk0_4179)|~v3_group_1(sk0_4179)|~v4_group_1(sk0_4179)|~l1_group_1(sk0_4179)|r1_rlvect_1(sk0_4180,k2_group_1(sk0_4179))),
% 13.48/3.54 inference(resolution,[status(thm)],[f40344,f59583])).
% 13.48/3.54 fof(f67925,plain,(
% 13.48/3.54 spl0_1250|~spl0_1252|~spl0_1259|~spl0_1253|spl0_1276),
% 13.48/3.54 inference(split_clause,[status(thm)],[f67924,f67508,f67520,f67721,f67523,f67921])).
% 13.48/3.54 fof(f68518,plain,(
% 13.48/3.54 spl0_1332 <=> v1_group_1(sk0_4180)),
% 13.48/3.54 introduced(split_symbol_definition)).
% 13.48/3.54 fof(f68520,plain,(
% 13.48/3.54 ~v1_group_1(sk0_4180)|spl0_1332),
% 13.48/3.54 inference(component_clause,[status(thm)],[f68518])).
% 13.48/3.54 fof(f68526,plain,(
% 13.48/3.54 spl0_1334 <=> ~m1_subset_1(X0,u1_struct_0(sk0_4179))|r2_hidden(X0,k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))|~r1_rlvect_1(sk0_4180,X0)),
% 13.48/3.54 introduced(split_symbol_definition)).
% 13.48/3.54 fof(f68527,plain,(
% 13.48/3.54 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_4179))|r2_hidden(X0,k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))|~r1_rlvect_1(sk0_4180,X0)|~spl0_1334)),
% 13.48/3.54 inference(component_clause,[status(thm)],[f68526])).
% 13.48/3.54 fof(f68529,plain,(
% 13.48/3.54 ![X0]: (v3_struct_0(sk0_4179)|~v3_group_1(sk0_4179)|~v4_group_1(sk0_4179)|~l1_group_1(sk0_4179)|~v1_group_1(sk0_4180)|~m1_subset_1(X0,u1_struct_0(sk0_4179))|r2_hidden(X0,k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))|~r1_rlvect_1(sk0_4180,X0))),
% 13.48/3.54 inference(resolution,[status(thm)],[f59575,f59583])).
% 13.48/3.54 fof(f68530,plain,(
% 13.48/3.54 spl0_1250|~spl0_1252|~spl0_1259|~spl0_1253|~spl0_1332|spl0_1334),
% 15.35/3.75 inference(split_clause,[status(thm)],[f68529,f67508,f67520,f67721,f67523,f68518,f68526])).
% 15.35/3.75 fof(f68534,plain,(
% 15.35/3.75 $false|spl0_1332),
% 15.35/3.75 inference(forward_subsumption_resolution,[status(thm)],[f68520,f59582])).
% 15.35/3.75 fof(f68535,plain,(
% 15.35/3.75 spl0_1332),
% 15.35/3.75 inference(contradiction_clause,[status(thm)],[f68534])).
% 15.35/3.75 fof(f68746,plain,(
% 15.35/3.75 spl0_1343 <=> r2_hidden(k2_group_1(sk0_4179),k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))),
% 15.35/3.75 introduced(split_symbol_definition)).
% 15.35/3.75 fof(f68747,plain,(
% 15.35/3.75 r2_hidden(k2_group_1(sk0_4179),k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))|~spl0_1343),
% 15.35/3.75 inference(component_clause,[status(thm)],[f68746])).
% 15.35/3.75 fof(f68749,plain,(
% 15.35/3.75 r2_hidden(k2_group_1(sk0_4179),k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))|~r1_rlvect_1(sk0_4180,k2_group_1(sk0_4179))|~spl0_1334|~spl0_1251),
% 15.35/3.75 inference(resolution,[status(thm)],[f68527,f67512])).
% 15.35/3.75 fof(f68750,plain,(
% 15.35/3.75 spl0_1343|~spl0_1276|~spl0_1334|~spl0_1251),
% 15.35/3.75 inference(split_clause,[status(thm)],[f68749,f68746,f67921,f68526,f67511])).
% 15.35/3.75 fof(f68751,plain,(
% 15.35/3.75 $false|~spl0_1343),
% 15.35/3.75 inference(forward_subsumption_resolution,[status(thm)],[f68747,f59584])).
% 15.35/3.75 fof(f68752,plain,(
% 15.35/3.75 ~spl0_1343),
% 15.35/3.75 inference(contradiction_clause,[status(thm)],[f68751])).
% 15.35/3.75 fof(f68753,plain,(
% 15.35/3.75 $false),
% 15.35/3.75 inference(sat_refutation,[status(thm)],[f67515,f67517,f67532,f67534,f67732,f67925,f68530,f68535,f68750,f68752])).
% 15.35/3.75 % SZS output end CNFRefutation for theBenchmark.p
% 15.96/3.89 % Elapsed time: 3.495273 seconds
% 15.96/3.89 % CPU time: 14.408752 seconds
% 15.96/3.89 % Memory used: 3.715 GB
%------------------------------------------------------------------------------