TSTP Solution File: GRP641+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n013.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 20:21:12 EDT 2024
% Result : Theorem 10.69s 2.95s
% Output : CNFRefutation 12.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP641+3 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n013.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 00:27:20 EDT 2024
% 0.09/0.31 % CPUTime :
% 1.51/1.72 % Drodi V3.6.0
% 10.69/2.95 % Refutation found
% 10.69/2.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.69/2.95 % SZS output start CNFRefutation for theBenchmark
% 10.69/2.95 fof(f7470,axiom,(
% 10.69/2.95 (! [A] :( ( ~ v3_struct_0(A)& l1_group_1(A) )=> m1_subset_1(k2_group_1(A),u1_struct_0(A)) ) )),
% 10.69/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.69/2.95 fof(f8697,axiom,(
% 10.69/2.95 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> v4_group_1(B) ) )) )),
% 10.69/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.69/2.95 fof(f8757,axiom,(
% 10.69/2.95 (! [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)) ) )) )),
% 10.69/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.69/2.95 fof(f8765,axiom,(
% 10.69/2.95 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> m1_group_2(A,A) ) )),
% 10.69/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.69/2.95 fof(f8767,axiom,(
% 10.69/2.95 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v3_group_1(B)& v4_group_1(B)& l1_group_1(B) )=> (! [C] :( ( ~ v3_struct_0(C)& v3_group_1(C)& v4_group_1(C)& l1_group_1(C) )=> ( ( m1_group_2(A,B)& m1_group_2(B,C) )=> m1_group_2(A,C) ) ) )) )) )),
% 10.69/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.69/2.95 fof(f8898,axiom,(
% 10.69/2.95 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> ( ~ v3_struct_0(B)& v3_group_1(B)& l1_group_1(B) ) ) )) )),
% 10.69/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.69/2.95 fof(f13982,axiom,(
% 10.69/2.95 (! [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) ) ) )) )) )),
% 10.69/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.69/2.95 fof(f13983,conjecture,(
% 10.69/2.95 (! [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)) ) )) )),
% 10.69/2.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.69/2.95 fof(f13984,negated_conjecture,(
% 10.69/2.95 ~((! [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)) ) )) ))),
% 10.69/2.95 inference(negated_conjecture,[status(cth)],[f13983])).
% 10.69/2.95 fof(f36616,plain,(
% 10.69/2.95 ![A]: ((v3_struct_0(A)|~l1_group_1(A))|m1_subset_1(k2_group_1(A),u1_struct_0(A)))),
% 10.69/2.95 inference(pre_NNF_transformation,[status(esa)],[f7470])).
% 10.69/2.95 fof(f36617,plain,(
% 10.69/2.95 ![X0]: (v3_struct_0(X0)|~l1_group_1(X0)|m1_subset_1(k2_group_1(X0),u1_struct_0(X0)))),
% 10.69/2.95 inference(cnf_transformation,[status(esa)],[f36616])).
% 10.69/2.95 fof(f40182,plain,(
% 10.69/2.95 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|v4_group_1(B))))),
% 10.69/2.95 inference(pre_NNF_transformation,[status(esa)],[f8697])).
% 10.69/2.95 fof(f40183,plain,(
% 10.69/2.95 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v4_group_1(X1))),
% 10.69/2.95 inference(cnf_transformation,[status(esa)],[f40182])).
% 10.69/2.95 fof(f40343,plain,(
% 10.69/2.95 ![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)))))),
% 10.69/2.95 inference(pre_NNF_transformation,[status(esa)],[f8757])).
% 10.69/2.95 fof(f40344,plain,(
% 10.69/2.95 ![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)))),
% 10.69/2.95 inference(cnf_transformation,[status(esa)],[f40343])).
% 10.69/2.95 fof(f40365,plain,(
% 10.69/2.95 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|m1_group_2(A,A))),
% 10.69/2.95 inference(pre_NNF_transformation,[status(esa)],[f8765])).
% 10.69/2.95 fof(f40366,plain,(
% 10.69/2.95 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|m1_group_2(X0,X0))),
% 10.69/2.95 inference(cnf_transformation,[status(esa)],[f40365])).
% 10.69/2.95 fof(f40369,plain,(
% 10.69/2.95 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: ((((v3_struct_0(B)|~v3_group_1(B))|~v4_group_1(B))|~l1_group_1(B))|(![C]: ((((v3_struct_0(C)|~v3_group_1(C))|~v4_group_1(C))|~l1_group_1(C))|((~m1_group_2(A,B)|~m1_group_2(B,C))|m1_group_2(A,C)))))))),
% 10.69/2.96 inference(pre_NNF_transformation,[status(esa)],[f8767])).
% 10.69/2.96 fof(f40370,plain,(
% 10.69/2.96 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|v3_struct_0(X2)|~v3_group_1(X2)|~v4_group_1(X2)|~l1_group_1(X2)|~m1_group_2(X0,X1)|~m1_group_2(X1,X2)|m1_group_2(X0,X2))),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f40369])).
% 10.69/2.96 fof(f40730,plain,(
% 10.69/2.96 ![A]: (((v3_struct_0(A)|~v3_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|((~v3_struct_0(B)&v3_group_1(B))&l1_group_1(B)))))),
% 10.69/2.96 inference(pre_NNF_transformation,[status(esa)],[f8898])).
% 10.69/2.96 fof(f40731,plain,(
% 10.69/2.96 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~v3_struct_0(X1))),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f40730])).
% 10.69/2.96 fof(f40732,plain,(
% 10.69/2.96 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v3_group_1(X1))),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f40730])).
% 10.69/2.96 fof(f40733,plain,(
% 10.69/2.96 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|l1_group_1(X1))),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f40730])).
% 10.69/2.96 fof(f59572,plain,(
% 10.69/2.96 ![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)))))))),
% 10.69/2.96 inference(pre_NNF_transformation,[status(esa)],[f13982])).
% 10.69/2.96 fof(f59573,plain,(
% 10.69/2.96 ![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))))))))),
% 10.69/2.96 inference(NNF_transformation,[status(esa)],[f59572])).
% 10.69/2.96 fof(f59575,plain,(
% 10.69/2.96 ![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))),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f59573])).
% 10.69/2.96 fof(f59576,plain,(
% 10.69/2.96 (?[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))))))),
% 10.69/2.96 inference(pre_NNF_transformation,[status(esa)],[f13984])).
% 10.69/2.96 fof(f59577,plain,(
% 10.69/2.96 ((((~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))))),
% 10.69/2.96 inference(skolemization,[status(esa)],[f59576])).
% 10.69/2.96 fof(f59578,plain,(
% 10.69/2.96 ~v3_struct_0(sk0_4179)),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f59577])).
% 10.69/2.96 fof(f59579,plain,(
% 10.69/2.96 v3_group_1(sk0_4179)),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f59577])).
% 10.69/2.96 fof(f59580,plain,(
% 10.69/2.96 v4_group_1(sk0_4179)),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f59577])).
% 10.69/2.96 fof(f59581,plain,(
% 10.69/2.96 l1_group_1(sk0_4179)),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f59577])).
% 10.69/2.96 fof(f59582,plain,(
% 10.69/2.96 v1_group_1(sk0_4180)),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f59577])).
% 10.69/2.96 fof(f59583,plain,(
% 10.69/2.96 m1_group_2(sk0_4180,sk0_4179)),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f59577])).
% 10.69/2.96 fof(f59584,plain,(
% 10.69/2.96 ~r2_hidden(k2_group_1(sk0_4179),k1_funct_1(k1_latsubgr(sk0_4179),sk0_4180))),
% 10.69/2.96 inference(cnf_transformation,[status(esa)],[f59577])).
% 10.69/2.96 fof(f69844,plain,(
% 10.69/2.96 spl0_1250 <=> v3_struct_0(sk0_4179)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f69845,plain,(
% 10.69/2.96 v3_struct_0(sk0_4179)|~spl0_1250),
% 10.69/2.96 inference(component_clause,[status(thm)],[f69844])).
% 10.69/2.96 fof(f69847,plain,(
% 10.69/2.96 spl0_1251 <=> v3_group_1(sk0_4179)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f69849,plain,(
% 10.69/2.96 ~v3_group_1(sk0_4179)|spl0_1251),
% 10.69/2.96 inference(component_clause,[status(thm)],[f69847])).
% 10.69/2.96 fof(f69850,plain,(
% 10.69/2.96 spl0_1252 <=> l1_group_1(sk0_4179)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f69852,plain,(
% 10.69/2.96 ~l1_group_1(sk0_4179)|spl0_1252),
% 10.69/2.96 inference(component_clause,[status(thm)],[f69850])).
% 10.69/2.96 fof(f69853,plain,(
% 10.69/2.96 spl0_1253 <=> v3_struct_0(sk0_4180)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f69856,plain,(
% 10.69/2.96 v3_struct_0(sk0_4179)|~v3_group_1(sk0_4179)|~l1_group_1(sk0_4179)|~v3_struct_0(sk0_4180)),
% 10.69/2.96 inference(resolution,[status(thm)],[f40731,f59583])).
% 10.69/2.96 fof(f69857,plain,(
% 10.69/2.96 spl0_1250|~spl0_1251|~spl0_1252|~spl0_1253),
% 10.69/2.96 inference(split_clause,[status(thm)],[f69856,f69844,f69847,f69850,f69853])).
% 10.69/2.96 fof(f69858,plain,(
% 10.69/2.96 $false|spl0_1252),
% 10.69/2.96 inference(forward_subsumption_resolution,[status(thm)],[f69852,f59581])).
% 10.69/2.96 fof(f69859,plain,(
% 10.69/2.96 spl0_1252),
% 10.69/2.96 inference(contradiction_clause,[status(thm)],[f69858])).
% 10.69/2.96 fof(f69860,plain,(
% 10.69/2.96 $false|spl0_1251),
% 10.69/2.96 inference(forward_subsumption_resolution,[status(thm)],[f69849,f59579])).
% 10.69/2.96 fof(f69861,plain,(
% 10.69/2.96 spl0_1251),
% 10.69/2.96 inference(contradiction_clause,[status(thm)],[f69860])).
% 10.69/2.96 fof(f69862,plain,(
% 10.69/2.96 $false|~spl0_1250),
% 10.69/2.96 inference(forward_subsumption_resolution,[status(thm)],[f69845,f59578])).
% 10.69/2.96 fof(f69863,plain,(
% 10.69/2.96 ~spl0_1250),
% 10.69/2.96 inference(contradiction_clause,[status(thm)],[f69862])).
% 10.69/2.96 fof(f69864,plain,(
% 10.69/2.96 spl0_1254 <=> v3_group_1(sk0_4180)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f69867,plain,(
% 10.69/2.96 v3_struct_0(sk0_4179)|~v3_group_1(sk0_4179)|~l1_group_1(sk0_4179)|v3_group_1(sk0_4180)),
% 10.69/2.96 inference(resolution,[status(thm)],[f40732,f59583])).
% 10.69/2.96 fof(f69868,plain,(
% 10.69/2.96 spl0_1250|~spl0_1251|~spl0_1252|spl0_1254),
% 10.69/2.96 inference(split_clause,[status(thm)],[f69867,f69844,f69847,f69850,f69864])).
% 10.69/2.96 fof(f69908,plain,(
% 10.69/2.96 spl0_1255 <=> l1_group_1(sk0_4180)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f69911,plain,(
% 10.69/2.96 v3_struct_0(sk0_4179)|~v3_group_1(sk0_4179)|~l1_group_1(sk0_4179)|l1_group_1(sk0_4180)),
% 10.69/2.96 inference(resolution,[status(thm)],[f40733,f59583])).
% 10.69/2.96 fof(f69912,plain,(
% 10.69/2.96 spl0_1250|~spl0_1251|~spl0_1252|spl0_1255),
% 10.69/2.96 inference(split_clause,[status(thm)],[f69911,f69844,f69847,f69850,f69908])).
% 10.69/2.96 fof(f69946,plain,(
% 10.69/2.96 spl0_1256 <=> v4_group_1(sk0_4179)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f69948,plain,(
% 10.69/2.96 ~v4_group_1(sk0_4179)|spl0_1256),
% 10.69/2.96 inference(component_clause,[status(thm)],[f69946])).
% 10.69/2.96 fof(f69949,plain,(
% 10.69/2.96 spl0_1257 <=> v4_group_1(sk0_4180)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f69952,plain,(
% 10.69/2.96 v3_struct_0(sk0_4179)|~v3_group_1(sk0_4179)|~v4_group_1(sk0_4179)|~l1_group_1(sk0_4179)|v4_group_1(sk0_4180)),
% 10.69/2.96 inference(resolution,[status(thm)],[f40183,f59583])).
% 10.69/2.96 fof(f69953,plain,(
% 10.69/2.96 spl0_1250|~spl0_1251|~spl0_1256|~spl0_1252|spl0_1257),
% 10.69/2.96 inference(split_clause,[status(thm)],[f69952,f69844,f69847,f69946,f69850,f69949])).
% 10.69/2.96 fof(f69954,plain,(
% 10.69/2.96 $false|spl0_1256),
% 10.69/2.96 inference(forward_subsumption_resolution,[status(thm)],[f69948,f59580])).
% 10.69/2.96 fof(f69955,plain,(
% 10.69/2.96 spl0_1256),
% 10.69/2.96 inference(contradiction_clause,[status(thm)],[f69954])).
% 10.69/2.96 fof(f70109,plain,(
% 10.69/2.96 ![X0,X1,X2]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|v3_struct_0(X2)|~v3_group_1(X2)|~v4_group_1(X2)|~l1_group_1(X2)|~m1_group_2(X0,X1)|~m1_group_2(X1,X2)|m1_group_2(X0,X2))),
% 10.69/2.96 inference(forward_subsumption_resolution,[status(thm)],[f40370,f40731])).
% 10.69/2.96 fof(f70110,plain,(
% 10.69/2.96 spl0_1258 <=> ~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X0,sk0_4180)|m1_group_2(X0,sk0_4179)),
% 10.69/2.96 introduced(split_symbol_definition)).
% 10.69/2.96 fof(f70111,plain,(
% 10.69/2.96 ![X0]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X0,sk0_4180)|m1_group_2(X0,sk0_4179)|~spl0_1258)),
% 10.69/2.96 inference(component_clause,[status(thm)],[f70110])).
% 10.69/2.96 fof(f70113,plain,(
% 10.69/2.96 ![X0]: (~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_struct_0(sk0_4180)|~v3_group_1(sk0_4180)|~v4_group_1(sk0_4180)|~l1_group_1(sk0_4180)|v3_struct_0(sk0_4179)|~v3_group_1(sk0_4179)|~v4_group_1(sk0_4179)|~l1_group_1(sk0_4179)|~m1_group_2(X0,sk0_4180)|m1_group_2(X0,sk0_4179))),
% 10.69/2.96 inference(resolution,[status(thm)],[f70109,f59583])).
% 10.69/2.96 fof(f70114,plain,(
% 10.69/2.96 spl0_1258|spl0_1253|~spl0_1254|~spl0_1257|~spl0_1255|spl0_1250|~spl0_1251|~spl0_1256|~spl0_1252),
% 10.69/2.96 inference(split_clause,[status(thm)],[f70113,f70110,f69853,f69864,f69949,f69908,f69844,f69847,f69946,f69850])).
% 12.71/3.18 fof(f70153,plain,(
% 12.71/3.18 spl0_1259 <=> m1_group_2(sk0_4180,sk0_4179)),
% 12.71/3.18 introduced(split_symbol_definition)).
% 12.71/3.18 fof(f70156,plain,(
% 12.71/3.18 ~v3_group_1(sk0_4180)|~v4_group_1(sk0_4180)|~l1_group_1(sk0_4180)|m1_group_2(sk0_4180,sk0_4179)|v3_struct_0(sk0_4180)|~v3_group_1(sk0_4180)|~v4_group_1(sk0_4180)|~l1_group_1(sk0_4180)|~spl0_1258),
% 12.71/3.18 inference(resolution,[status(thm)],[f70111,f40366])).
% 12.71/3.18 fof(f70157,plain,(
% 12.71/3.18 ~spl0_1254|~spl0_1257|~spl0_1255|spl0_1259|spl0_1253|~spl0_1258),
% 12.71/3.18 inference(split_clause,[status(thm)],[f70156,f69864,f69949,f69908,f70153,f69853,f70110])).
% 12.71/3.18 fof(f70416,plain,(
% 12.71/3.18 spl0_1260 <=> v1_group_1(sk0_4180)),
% 12.71/3.18 introduced(split_symbol_definition)).
% 12.71/3.18 fof(f70418,plain,(
% 12.71/3.18 ~v1_group_1(sk0_4180)|spl0_1260),
% 12.71/3.18 inference(component_clause,[status(thm)],[f70416])).
% 12.71/3.18 fof(f70419,plain,(
% 12.71/3.18 spl0_1261 <=> m1_subset_1(k2_group_1(sk0_4179),u1_struct_0(sk0_4179))),
% 12.71/3.18 introduced(split_symbol_definition)).
% 12.71/3.18 fof(f70421,plain,(
% 12.71/3.18 ~m1_subset_1(k2_group_1(sk0_4179),u1_struct_0(sk0_4179))|spl0_1261),
% 12.71/3.18 inference(component_clause,[status(thm)],[f70419])).
% 12.71/3.18 fof(f70422,plain,(
% 12.71/3.18 spl0_1262 <=> r1_rlvect_1(sk0_4180,k2_group_1(sk0_4179))),
% 12.71/3.18 introduced(split_symbol_definition)).
% 12.71/3.18 fof(f70424,plain,(
% 12.71/3.18 ~r1_rlvect_1(sk0_4180,k2_group_1(sk0_4179))|spl0_1262),
% 12.71/3.18 inference(component_clause,[status(thm)],[f70422])).
% 12.71/3.18 fof(f70425,plain,(
% 12.71/3.18 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)|~m1_subset_1(k2_group_1(sk0_4179),u1_struct_0(sk0_4179))|~r1_rlvect_1(sk0_4180,k2_group_1(sk0_4179))),
% 12.71/3.18 inference(resolution,[status(thm)],[f59575,f59584])).
% 12.71/3.18 fof(f70426,plain,(
% 12.71/3.18 spl0_1250|~spl0_1251|~spl0_1256|~spl0_1252|~spl0_1260|~spl0_1259|~spl0_1261|~spl0_1262),
% 12.71/3.18 inference(split_clause,[status(thm)],[f70425,f69844,f69847,f69946,f69850,f70416,f70153,f70419,f70422])).
% 12.71/3.18 fof(f70458,plain,(
% 12.71/3.18 $false|spl0_1260),
% 12.71/3.18 inference(forward_subsumption_resolution,[status(thm)],[f70418,f59582])).
% 12.71/3.18 fof(f70459,plain,(
% 12.71/3.18 spl0_1260),
% 12.71/3.18 inference(contradiction_clause,[status(thm)],[f70458])).
% 12.71/3.18 fof(f70571,plain,(
% 12.71/3.18 v3_struct_0(sk0_4179)|~v3_group_1(sk0_4179)|~v4_group_1(sk0_4179)|~l1_group_1(sk0_4179)|~m1_group_2(sk0_4180,sk0_4179)|spl0_1262),
% 12.71/3.18 inference(resolution,[status(thm)],[f70424,f40344])).
% 12.71/3.18 fof(f70572,plain,(
% 12.71/3.18 spl0_1250|~spl0_1251|~spl0_1256|~spl0_1252|~spl0_1259|spl0_1262),
% 12.71/3.18 inference(split_clause,[status(thm)],[f70571,f69844,f69847,f69946,f69850,f70153,f70422])).
% 12.71/3.18 fof(f70573,plain,(
% 12.71/3.18 v3_struct_0(sk0_4179)|~l1_group_1(sk0_4179)|spl0_1261),
% 12.71/3.18 inference(resolution,[status(thm)],[f70421,f36617])).
% 12.71/3.18 fof(f70574,plain,(
% 12.71/3.18 spl0_1250|~spl0_1252|spl0_1261),
% 12.71/3.18 inference(split_clause,[status(thm)],[f70573,f69844,f69850,f70419])).
% 12.71/3.18 fof(f70575,plain,(
% 12.71/3.18 $false),
% 12.71/3.18 inference(sat_refutation,[status(thm)],[f69857,f69859,f69861,f69863,f69868,f69912,f69953,f69955,f70114,f70157,f70426,f70459,f70572,f70574])).
% 12.71/3.18 % SZS output end CNFRefutation for theBenchmark.p
% 13.14/3.33 % Elapsed time: 2.969464 seconds
% 13.14/3.33 % CPU time: 11.606482 seconds
% 13.14/3.33 % Total memory used: 3.819 GB
% 13.14/3.33 % Net memory used: 3.801 GB
%------------------------------------------------------------------------------