TSTP Solution File: GRP628+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:12:17 EDT 2023
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n001.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 30 11:58:45 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.53 % Refutation found
% 0.19/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.53 fof(f1,conjecture,(
% 0.19/0.53 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(k5_autgroup(A)))=> ( B = C=> k2_funct_1(B) = k3_group_1(k5_autgroup(A),C) ) ) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f2,negated_conjecture,(
% 0.19/0.53 ~((! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(k5_autgroup(A)))=> ( B = C=> k2_funct_1(B) = k3_group_1(k5_autgroup(A),C) ) ) )) )) ))),
% 0.19/0.53 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.53 fof(f22,axiom,(
% 0.19/0.53 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> ( ~ v3_struct_0(k3_autgroup(A))& v1_group_1(k3_autgroup(A))& v3_group_1(k3_autgroup(A))& v4_group_1(k3_autgroup(A))& l1_group_1(k3_autgroup(A)) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f25,axiom,(
% 0.19/0.53 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> ( v1_group_1(k5_autgroup(A))& v1_group_3(k5_autgroup(A),k3_autgroup(A))& m1_group_2(k5_autgroup(A),k3_autgroup(A)) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f67,axiom,(
% 0.19/0.53 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(k3_autgroup(A)))=> ( B = C=> k2_funct_1(B) = k3_group_1(k3_autgroup(A),C) ) ) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f68,axiom,(
% 0.19/0.53 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))=> m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) ) )) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f73,axiom,(
% 0.19/0.53 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> (! [C] :( m1_subset_1(C,u1_struct_0(B))=> m1_subset_1(C,u1_struct_0(A)) ) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f74,axiom,(
% 0.19/0.53 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_group_2(C,A)=> (! [D] :( m1_subset_1(D,u1_struct_0(C))=> ( D = B=> k3_group_1(C,D) = k3_group_1(A,B) ) ) )) )) )) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f79,plain,(
% 0.19/0.53 (?[A]: (((((~v3_struct_0(A)&v1_group_1(A))&v3_group_1(A))&v4_group_1(A))&l1_group_1(A))&(?[B]: (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))&(?[C]: (m1_subset_1(C,u1_struct_0(k5_autgroup(A)))&(B=C&~k2_funct_1(B)=k3_group_1(k5_autgroup(A),C))))))))),
% 0.19/0.53 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.53 fof(f80,plain,(
% 0.19/0.53 (((((~v3_struct_0(sk0_0)&v1_group_1(sk0_0))&v3_group_1(sk0_0))&v4_group_1(sk0_0))&l1_group_1(sk0_0))&(m2_fraenkel(sk0_1,u1_struct_0(sk0_0),u1_struct_0(sk0_0),k4_autgroup(sk0_0))&(m1_subset_1(sk0_2,u1_struct_0(k5_autgroup(sk0_0)))&(sk0_1=sk0_2&~k2_funct_1(sk0_1)=k3_group_1(k5_autgroup(sk0_0),sk0_2)))))),
% 0.19/0.53 inference(skolemization,[status(esa)],[f79])).
% 0.19/0.53 fof(f81,plain,(
% 0.19/0.53 ~v3_struct_0(sk0_0)),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f82,plain,(
% 0.19/0.53 v1_group_1(sk0_0)),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f83,plain,(
% 0.19/0.53 v3_group_1(sk0_0)),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f84,plain,(
% 0.19/0.53 v4_group_1(sk0_0)),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f85,plain,(
% 0.19/0.53 l1_group_1(sk0_0)),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f86,plain,(
% 0.19/0.53 m2_fraenkel(sk0_1,u1_struct_0(sk0_0),u1_struct_0(sk0_0),k4_autgroup(sk0_0))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f87,plain,(
% 0.19/0.53 m1_subset_1(sk0_2,u1_struct_0(k5_autgroup(sk0_0)))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f88,plain,(
% 0.19/0.53 sk0_1=sk0_2),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f89,plain,(
% 0.19/0.53 ~k2_funct_1(sk0_1)=k3_group_1(k5_autgroup(sk0_0),sk0_2)),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.53 fof(f138,plain,(
% 0.19/0.53 ![A]: (((((v3_struct_0(A)|~v1_group_1(A))|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|((((~v3_struct_0(k3_autgroup(A))&v1_group_1(k3_autgroup(A)))&v3_group_1(k3_autgroup(A)))&v4_group_1(k3_autgroup(A)))&l1_group_1(k3_autgroup(A))))),
% 0.19/0.53 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.19/0.53 fof(f139,plain,(
% 0.19/0.53 ![X0]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~v3_struct_0(k3_autgroup(X0)))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f138])).
% 0.19/0.53 fof(f141,plain,(
% 0.19/0.53 ![X0]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v3_group_1(k3_autgroup(X0)))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f138])).
% 0.19/0.53 fof(f142,plain,(
% 0.19/0.53 ![X0]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|v4_group_1(k3_autgroup(X0)))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f138])).
% 0.19/0.53 fof(f143,plain,(
% 0.19/0.53 ![X0]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|l1_group_1(k3_autgroup(X0)))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f138])).
% 0.19/0.53 fof(f148,plain,(
% 0.19/0.53 ![A]: (((((v3_struct_0(A)|~v1_group_1(A))|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|((v1_group_1(k5_autgroup(A))&v1_group_3(k5_autgroup(A),k3_autgroup(A)))&m1_group_2(k5_autgroup(A),k3_autgroup(A))))),
% 0.19/0.53 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.19/0.53 fof(f151,plain,(
% 0.19/0.53 ![X0]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|m1_group_2(k5_autgroup(X0),k3_autgroup(X0)))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f148])).
% 0.19/0.53 fof(f280,plain,(
% 0.19/0.53 ![A]: (((((v3_struct_0(A)|~v1_group_1(A))|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A))|(![C]: (~m1_subset_1(C,u1_struct_0(k3_autgroup(A)))|(~B=C|k2_funct_1(B)=k3_group_1(k3_autgroup(A),C)))))))),
% 0.19/0.53 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 0.19/0.53 fof(f281,plain,(
% 0.19/0.53 ![X0,X1,X2]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))|~m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))|~X1=X2|k2_funct_1(X1)=k3_group_1(k3_autgroup(X0),X2))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f280])).
% 0.19/0.53 fof(f282,plain,(
% 0.19/0.53 ![A]: (((((v3_struct_0(A)|~v1_group_1(A))|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A))|m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))),
% 0.19/0.53 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 0.19/0.53 fof(f283,plain,(
% 0.19/0.53 ![X0,X1]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))|m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f282])).
% 0.19/0.53 fof(f295,plain,(
% 0.19/0.53 ![A]: (((v3_struct_0(A)|~v3_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|(![C]: (~m1_subset_1(C,u1_struct_0(B))|m1_subset_1(C,u1_struct_0(A)))))))),
% 0.19/0.53 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 0.19/0.53 fof(f296,plain,(
% 0.19/0.53 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X1))|m1_subset_1(X2,u1_struct_0(X0)))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f295])).
% 0.19/0.53 fof(f297,plain,(
% 0.19/0.53 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_group_2(C,A)|(![D]: (~m1_subset_1(D,u1_struct_0(C))|(~D=B|k3_group_1(C,D)=k3_group_1(A,B)))))))))),
% 0.19/0.53 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 0.19/0.53 fof(f298,plain,(
% 0.19/0.53 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_group_2(X2,X0)|~m1_subset_1(X3,u1_struct_0(X2))|~X3=X1|k3_group_1(X2,X3)=k3_group_1(X0,X1))),
% 0.19/0.53 inference(cnf_transformation,[status(esa)],[f297])).
% 0.19/0.53 fof(f310,plain,(
% 0.19/0.53 ![X0,X1]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))|~m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))|k2_funct_1(X1)=k3_group_1(k3_autgroup(X0),X1))),
% 0.19/0.53 inference(destructive_equality_resolution,[status(esa)],[f281])).
% 0.19/0.53 fof(f311,plain,(
% 0.19/0.53 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_group_2(X2,X0)|~m1_subset_1(X1,u1_struct_0(X2))|k3_group_1(X2,X1)=k3_group_1(X0,X1))),
% 0.19/0.53 inference(destructive_equality_resolution,[status(esa)],[f298])).
% 0.19/0.53 fof(f312,plain,(
% 0.19/0.53 m1_subset_1(sk0_1,u1_struct_0(k5_autgroup(sk0_0)))),
% 0.19/0.53 inference(forward_demodulation,[status(thm)],[f88,f87])).
% 0.19/0.53 fof(f313,plain,(
% 0.19/0.53 ~k2_funct_1(sk0_1)=k3_group_1(k5_autgroup(sk0_0),sk0_1)),
% 0.19/0.53 inference(forward_demodulation,[status(thm)],[f88,f89])).
% 0.19/0.53 fof(f326,plain,(
% 0.19/0.53 spl0_3 <=> v3_struct_0(sk0_0)),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f327,plain,(
% 0.19/0.53 v3_struct_0(sk0_0)|~spl0_3),
% 0.19/0.53 inference(component_clause,[status(thm)],[f326])).
% 0.19/0.53 fof(f329,plain,(
% 0.19/0.53 spl0_4 <=> v1_group_1(sk0_0)),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f331,plain,(
% 0.19/0.53 ~v1_group_1(sk0_0)|spl0_4),
% 0.19/0.53 inference(component_clause,[status(thm)],[f329])).
% 0.19/0.53 fof(f332,plain,(
% 0.19/0.53 spl0_5 <=> v3_group_1(sk0_0)),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f334,plain,(
% 0.19/0.53 ~v3_group_1(sk0_0)|spl0_5),
% 0.19/0.53 inference(component_clause,[status(thm)],[f332])).
% 0.19/0.53 fof(f335,plain,(
% 0.19/0.53 spl0_6 <=> v4_group_1(sk0_0)),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f337,plain,(
% 0.19/0.53 ~v4_group_1(sk0_0)|spl0_6),
% 0.19/0.53 inference(component_clause,[status(thm)],[f335])).
% 0.19/0.53 fof(f338,plain,(
% 0.19/0.53 spl0_7 <=> l1_group_1(sk0_0)),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f340,plain,(
% 0.19/0.53 ~l1_group_1(sk0_0)|spl0_7),
% 0.19/0.53 inference(component_clause,[status(thm)],[f338])).
% 0.19/0.53 fof(f343,plain,(
% 0.19/0.53 $false|spl0_7),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f340,f85])).
% 0.19/0.53 fof(f344,plain,(
% 0.19/0.53 spl0_7),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f343])).
% 0.19/0.53 fof(f345,plain,(
% 0.19/0.53 $false|spl0_6),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f337,f84])).
% 0.19/0.53 fof(f346,plain,(
% 0.19/0.53 spl0_6),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f345])).
% 0.19/0.53 fof(f347,plain,(
% 0.19/0.53 $false|spl0_5),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f334,f83])).
% 0.19/0.53 fof(f348,plain,(
% 0.19/0.53 spl0_5),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f347])).
% 0.19/0.53 fof(f349,plain,(
% 0.19/0.53 $false|spl0_4),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f331,f82])).
% 0.19/0.53 fof(f350,plain,(
% 0.19/0.53 spl0_4),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f349])).
% 0.19/0.53 fof(f351,plain,(
% 0.19/0.53 $false|~spl0_3),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f327,f81])).
% 0.19/0.53 fof(f352,plain,(
% 0.19/0.53 ~spl0_3),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f351])).
% 0.19/0.53 fof(f401,plain,(
% 0.19/0.53 ![X0,X1]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))|k2_funct_1(X1)=k3_group_1(k3_autgroup(X0),X1)|v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)))),
% 0.19/0.53 inference(resolution,[status(thm)],[f310,f283])).
% 0.19/0.53 fof(f402,plain,(
% 0.19/0.53 ![X0,X1]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))|k2_funct_1(X1)=k3_group_1(k3_autgroup(X0),X1)|~m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)))),
% 0.19/0.53 inference(duplicate_literals_removal,[status(esa)],[f401])).
% 0.19/0.53 fof(f404,plain,(
% 0.19/0.53 spl0_14 <=> m1_subset_1(sk0_1,u1_struct_0(k3_autgroup(sk0_0)))),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f407,plain,(
% 0.19/0.53 spl0_15 <=> k2_funct_1(sk0_1)=k3_group_1(k3_autgroup(sk0_0),sk0_1)),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f408,plain,(
% 0.19/0.53 k2_funct_1(sk0_1)=k3_group_1(k3_autgroup(sk0_0),sk0_1)|~spl0_15),
% 0.19/0.53 inference(component_clause,[status(thm)],[f407])).
% 0.19/0.53 fof(f410,plain,(
% 0.19/0.53 v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_subset_1(sk0_1,u1_struct_0(k3_autgroup(sk0_0)))|k2_funct_1(sk0_1)=k3_group_1(k3_autgroup(sk0_0),sk0_1)),
% 0.19/0.53 inference(resolution,[status(thm)],[f402,f86])).
% 0.19/0.53 fof(f411,plain,(
% 0.19/0.53 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|~spl0_14|spl0_15),
% 0.19/0.53 inference(split_clause,[status(thm)],[f410,f326,f329,f332,f335,f338,f404,f407])).
% 0.19/0.53 fof(f524,plain,(
% 0.19/0.53 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~m1_subset_1(X2,u1_struct_0(X1))|k3_group_1(X1,X2)=k3_group_1(X0,X2))),
% 0.19/0.53 inference(backward_subsumption_resolution,[status(thm)],[f311,f296])).
% 0.19/0.53 fof(f528,plain,(
% 0.19/0.53 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(k5_autgroup(sk0_0),X0)|m1_subset_1(sk0_1,u1_struct_0(X0)))),
% 0.19/0.53 inference(resolution,[status(thm)],[f296,f312])).
% 0.19/0.53 fof(f678,plain,(
% 0.19/0.53 spl0_44 <=> v3_struct_0(k3_autgroup(sk0_0))),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f679,plain,(
% 0.19/0.53 v3_struct_0(k3_autgroup(sk0_0))|~spl0_44),
% 0.19/0.53 inference(component_clause,[status(thm)],[f678])).
% 0.19/0.53 fof(f681,plain,(
% 0.19/0.53 spl0_45 <=> v3_group_1(k3_autgroup(sk0_0))),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f683,plain,(
% 0.19/0.53 ~v3_group_1(k3_autgroup(sk0_0))|spl0_45),
% 0.19/0.53 inference(component_clause,[status(thm)],[f681])).
% 0.19/0.53 fof(f684,plain,(
% 0.19/0.53 spl0_46 <=> l1_group_1(k3_autgroup(sk0_0))),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f686,plain,(
% 0.19/0.53 ~l1_group_1(k3_autgroup(sk0_0))|spl0_46),
% 0.19/0.53 inference(component_clause,[status(thm)],[f684])).
% 0.19/0.53 fof(f687,plain,(
% 0.19/0.53 v3_struct_0(k3_autgroup(sk0_0))|~v3_group_1(k3_autgroup(sk0_0))|~l1_group_1(k3_autgroup(sk0_0))|m1_subset_1(sk0_1,u1_struct_0(k3_autgroup(sk0_0)))|v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)),
% 0.19/0.53 inference(resolution,[status(thm)],[f528,f151])).
% 0.19/0.53 fof(f688,plain,(
% 0.19/0.53 spl0_44|~spl0_45|~spl0_46|spl0_14|spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7),
% 0.19/0.53 inference(split_clause,[status(thm)],[f687,f678,f681,f684,f404,f326,f329,f332,f335,f338])).
% 0.19/0.53 fof(f689,plain,(
% 0.19/0.53 v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|spl0_46),
% 0.19/0.53 inference(resolution,[status(thm)],[f686,f143])).
% 0.19/0.53 fof(f690,plain,(
% 0.19/0.53 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_46),
% 0.19/0.53 inference(split_clause,[status(thm)],[f689,f326,f329,f332,f335,f338,f684])).
% 0.19/0.53 fof(f691,plain,(
% 0.19/0.53 v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|spl0_45),
% 0.19/0.53 inference(resolution,[status(thm)],[f683,f141])).
% 0.19/0.53 fof(f692,plain,(
% 0.19/0.53 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_45),
% 0.19/0.53 inference(split_clause,[status(thm)],[f691,f326,f329,f332,f335,f338,f681])).
% 0.19/0.53 fof(f693,plain,(
% 0.19/0.53 v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~spl0_44),
% 0.19/0.53 inference(resolution,[status(thm)],[f679,f139])).
% 0.19/0.53 fof(f694,plain,(
% 0.19/0.53 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|~spl0_44),
% 0.19/0.53 inference(split_clause,[status(thm)],[f693,f326,f329,f332,f335,f338,f678])).
% 0.19/0.53 fof(f722,plain,(
% 0.19/0.53 spl0_53 <=> v4_group_1(k3_autgroup(sk0_0))),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f724,plain,(
% 0.19/0.53 ~v4_group_1(k3_autgroup(sk0_0))|spl0_53),
% 0.19/0.53 inference(component_clause,[status(thm)],[f722])).
% 0.19/0.53 fof(f742,plain,(
% 0.19/0.53 v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|spl0_53),
% 0.19/0.53 inference(resolution,[status(thm)],[f724,f142])).
% 0.19/0.53 fof(f743,plain,(
% 0.19/0.53 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_53),
% 0.19/0.53 inference(split_clause,[status(thm)],[f742,f326,f329,f332,f335,f338,f722])).
% 0.19/0.53 fof(f942,plain,(
% 0.19/0.53 spl0_79 <=> m1_subset_1(sk0_1,u1_struct_0(k5_autgroup(sk0_0)))),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f944,plain,(
% 0.19/0.53 ~m1_subset_1(sk0_1,u1_struct_0(k5_autgroup(sk0_0)))|spl0_79),
% 0.19/0.53 inference(component_clause,[status(thm)],[f942])).
% 0.19/0.53 fof(f950,plain,(
% 0.19/0.53 $false|spl0_79),
% 0.19/0.53 inference(forward_subsumption_resolution,[status(thm)],[f944,f312])).
% 0.19/0.53 fof(f951,plain,(
% 0.19/0.53 spl0_79),
% 0.19/0.53 inference(contradiction_clause,[status(thm)],[f950])).
% 0.19/0.53 fof(f1042,plain,(
% 0.19/0.53 spl0_97 <=> ~m1_group_2(X0,k3_autgroup(sk0_0))|~m1_subset_1(sk0_1,u1_struct_0(X0))|k3_group_1(X0,sk0_1)=k2_funct_1(sk0_1)),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f1043,plain,(
% 0.19/0.53 ![X0]: (~m1_group_2(X0,k3_autgroup(sk0_0))|~m1_subset_1(sk0_1,u1_struct_0(X0))|k3_group_1(X0,sk0_1)=k2_funct_1(sk0_1)|~spl0_97)),
% 0.19/0.53 inference(component_clause,[status(thm)],[f1042])).
% 0.19/0.53 fof(f1045,plain,(
% 0.19/0.53 ![X0]: (v3_struct_0(k3_autgroup(sk0_0))|~v3_group_1(k3_autgroup(sk0_0))|~v4_group_1(k3_autgroup(sk0_0))|~l1_group_1(k3_autgroup(sk0_0))|~m1_group_2(X0,k3_autgroup(sk0_0))|~m1_subset_1(sk0_1,u1_struct_0(X0))|k3_group_1(X0,sk0_1)=k2_funct_1(sk0_1)|~spl0_15)),
% 0.19/0.53 inference(paramodulation,[status(thm)],[f408,f524])).
% 0.19/0.53 fof(f1046,plain,(
% 0.19/0.53 spl0_44|~spl0_45|~spl0_53|~spl0_46|spl0_97|~spl0_15),
% 0.19/0.53 inference(split_clause,[status(thm)],[f1045,f678,f681,f722,f684,f1042,f407])).
% 0.19/0.53 fof(f1085,plain,(
% 0.19/0.53 spl0_101 <=> m1_group_2(k5_autgroup(sk0_0),k3_autgroup(sk0_0))),
% 0.19/0.53 introduced(split_symbol_definition)).
% 0.19/0.53 fof(f1087,plain,(
% 0.19/0.53 ~m1_group_2(k5_autgroup(sk0_0),k3_autgroup(sk0_0))|spl0_101),
% 0.19/0.53 inference(component_clause,[status(thm)],[f1085])).
% 0.19/0.53 fof(f1095,plain,(
% 0.19/0.53 v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|spl0_101),
% 0.19/0.53 inference(resolution,[status(thm)],[f1087,f151])).
% 0.19/0.53 fof(f1096,plain,(
% 0.19/0.53 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_101),
% 0.19/0.53 inference(split_clause,[status(thm)],[f1095,f326,f329,f332,f335,f338,f1085])).
% 0.19/0.53 fof(f1107,plain,(
% 0.19/0.53 ~m1_group_2(k5_autgroup(sk0_0),k3_autgroup(sk0_0))|~m1_subset_1(sk0_1,u1_struct_0(k5_autgroup(sk0_0)))|~spl0_97),
% 0.19/0.53 inference(resolution,[status(thm)],[f313,f1043])).
% 0.19/0.53 fof(f1108,plain,(
% 0.19/0.53 ~spl0_101|~spl0_79|~spl0_97),
% 0.19/0.53 inference(split_clause,[status(thm)],[f1107,f1085,f942,f1042])).
% 0.19/0.53 fof(f1109,plain,(
% 0.19/0.53 $false),
% 0.19/0.53 inference(sat_refutation,[status(thm)],[f344,f346,f348,f350,f352,f411,f688,f690,f692,f694,f743,f951,f1046,f1096,f1108])).
% 0.19/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.56 % Elapsed time: 0.221248 seconds
% 0.19/0.56 % CPU time: 1.233004 seconds
% 0.19/0.56 % Memory used: 72.369 MB
%------------------------------------------------------------------------------