TSTP Solution File: GRP628+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n015.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 20:21:08 EDT 2024
% Result : Theorem 1.41s 0.62s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP628+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:42:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 1.41/0.62 % Refutation found
% 1.41/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.41/0.62 % SZS output start CNFRefutation for theBenchmark
% 1.41/0.62 fof(f1,conjecture,(
% 1.41/0.62 (! [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) ) ) )) )) )),
% 1.41/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.41/0.62 fof(f2,negated_conjecture,(
% 1.41/0.62 ~((! [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) ) ) )) )) ))),
% 1.41/0.62 inference(negated_conjecture,[status(cth)],[f1])).
% 1.41/0.62 fof(f22,axiom,(
% 1.41/0.62 (! [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)) ) ) )),
% 1.41/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.41/0.62 fof(f25,axiom,(
% 1.41/0.62 (! [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)) ) ) )),
% 1.41/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.41/0.62 fof(f67,axiom,(
% 1.41/0.62 (! [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) ) ) )) )) )),
% 1.41/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.41/0.62 fof(f68,axiom,(
% 1.41/0.62 (! [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)) ) )) )),
% 1.41/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.41/0.62 fof(f73,axiom,(
% 1.41/0.62 (! [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)) ) )) )) )),
% 1.41/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.41/0.62 fof(f74,axiom,(
% 1.41/0.62 (! [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) ) ) )) )) )) )),
% 1.41/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.41/0.62 fof(f79,plain,(
% 1.41/0.62 (?[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))))))))),
% 1.41/0.62 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.41/0.62 fof(f80,plain,(
% 1.41/0.62 (((((~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)))))),
% 1.41/0.62 inference(skolemization,[status(esa)],[f79])).
% 1.41/0.62 fof(f81,plain,(
% 1.41/0.62 ~v3_struct_0(sk0_0)),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f82,plain,(
% 1.41/0.62 v1_group_1(sk0_0)),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f83,plain,(
% 1.41/0.62 v3_group_1(sk0_0)),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f84,plain,(
% 1.41/0.62 v4_group_1(sk0_0)),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f85,plain,(
% 1.41/0.62 l1_group_1(sk0_0)),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f86,plain,(
% 1.41/0.62 m2_fraenkel(sk0_1,u1_struct_0(sk0_0),u1_struct_0(sk0_0),k4_autgroup(sk0_0))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f87,plain,(
% 1.41/0.62 m1_subset_1(sk0_2,u1_struct_0(k5_autgroup(sk0_0)))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f88,plain,(
% 1.41/0.62 sk0_1=sk0_2),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f89,plain,(
% 1.41/0.62 ~k2_funct_1(sk0_1)=k3_group_1(k5_autgroup(sk0_0),sk0_2)),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f80])).
% 1.41/0.62 fof(f138,plain,(
% 1.41/0.62 ![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))))),
% 1.41/0.62 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 1.41/0.62 fof(f139,plain,(
% 1.41/0.62 ![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)))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f138])).
% 1.41/0.62 fof(f141,plain,(
% 1.41/0.62 ![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)))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f138])).
% 1.41/0.62 fof(f142,plain,(
% 1.41/0.62 ![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)))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f138])).
% 1.41/0.62 fof(f143,plain,(
% 1.41/0.62 ![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)))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f138])).
% 1.41/0.62 fof(f148,plain,(
% 1.41/0.62 ![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))))),
% 1.41/0.62 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 1.41/0.62 fof(f151,plain,(
% 1.41/0.62 ![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)))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f148])).
% 1.41/0.62 fof(f280,plain,(
% 1.41/0.62 ![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)))))))),
% 1.41/0.62 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 1.41/0.62 fof(f281,plain,(
% 1.41/0.62 ![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))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f280])).
% 1.41/0.62 fof(f282,plain,(
% 1.41/0.62 ![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)))))),
% 1.41/0.62 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 1.41/0.62 fof(f283,plain,(
% 1.41/0.62 ![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)))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f282])).
% 1.41/0.62 fof(f295,plain,(
% 1.41/0.62 ![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)))))))),
% 1.41/0.62 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 1.41/0.62 fof(f296,plain,(
% 1.41/0.62 ![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)))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f295])).
% 1.41/0.62 fof(f297,plain,(
% 1.41/0.62 ![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)))))))))),
% 1.41/0.62 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 1.41/0.62 fof(f298,plain,(
% 1.41/0.62 ![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))),
% 1.41/0.62 inference(cnf_transformation,[status(esa)],[f297])).
% 1.41/0.62 fof(f310,plain,(
% 1.41/0.62 ![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))),
% 1.41/0.62 inference(destructive_equality_resolution,[status(esa)],[f281])).
% 1.41/0.62 fof(f311,plain,(
% 1.41/0.62 ![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))),
% 1.41/0.62 inference(destructive_equality_resolution,[status(esa)],[f298])).
% 1.41/0.62 fof(f312,plain,(
% 1.41/0.62 m1_subset_1(sk0_1,u1_struct_0(k5_autgroup(sk0_0)))),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f88,f87])).
% 1.41/0.62 fof(f313,plain,(
% 1.41/0.62 ~k2_funct_1(sk0_1)=k3_group_1(k5_autgroup(sk0_0),sk0_1)),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f88,f89])).
% 1.41/0.62 fof(f325,plain,(
% 1.41/0.62 spl0_3 <=> v3_struct_0(sk0_0)),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f326,plain,(
% 1.41/0.62 v3_struct_0(sk0_0)|~spl0_3),
% 1.41/0.62 inference(component_clause,[status(thm)],[f325])).
% 1.41/0.62 fof(f328,plain,(
% 1.41/0.62 spl0_4 <=> v1_group_1(sk0_0)),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f330,plain,(
% 1.41/0.62 ~v1_group_1(sk0_0)|spl0_4),
% 1.41/0.62 inference(component_clause,[status(thm)],[f328])).
% 1.41/0.62 fof(f331,plain,(
% 1.41/0.62 spl0_5 <=> v3_group_1(sk0_0)),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f333,plain,(
% 1.41/0.62 ~v3_group_1(sk0_0)|spl0_5),
% 1.41/0.62 inference(component_clause,[status(thm)],[f331])).
% 1.41/0.62 fof(f334,plain,(
% 1.41/0.62 spl0_6 <=> v4_group_1(sk0_0)),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f336,plain,(
% 1.41/0.62 ~v4_group_1(sk0_0)|spl0_6),
% 1.41/0.62 inference(component_clause,[status(thm)],[f334])).
% 1.41/0.62 fof(f337,plain,(
% 1.41/0.62 spl0_7 <=> l1_group_1(sk0_0)),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f339,plain,(
% 1.41/0.62 ~l1_group_1(sk0_0)|spl0_7),
% 1.41/0.62 inference(component_clause,[status(thm)],[f337])).
% 1.41/0.62 fof(f342,plain,(
% 1.41/0.62 $false|spl0_7),
% 1.41/0.62 inference(forward_subsumption_resolution,[status(thm)],[f339,f85])).
% 1.41/0.62 fof(f343,plain,(
% 1.41/0.62 spl0_7),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f342])).
% 1.41/0.62 fof(f344,plain,(
% 1.41/0.62 $false|spl0_6),
% 1.41/0.62 inference(forward_subsumption_resolution,[status(thm)],[f336,f84])).
% 1.41/0.62 fof(f345,plain,(
% 1.41/0.62 spl0_6),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f344])).
% 1.41/0.62 fof(f346,plain,(
% 1.41/0.62 $false|spl0_5),
% 1.41/0.62 inference(forward_subsumption_resolution,[status(thm)],[f333,f83])).
% 1.41/0.62 fof(f347,plain,(
% 1.41/0.62 spl0_5),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f346])).
% 1.41/0.62 fof(f348,plain,(
% 1.41/0.62 $false|spl0_4),
% 1.41/0.62 inference(forward_subsumption_resolution,[status(thm)],[f330,f82])).
% 1.41/0.62 fof(f349,plain,(
% 1.41/0.62 spl0_4),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f348])).
% 1.41/0.62 fof(f350,plain,(
% 1.41/0.62 $false|~spl0_3),
% 1.41/0.62 inference(forward_subsumption_resolution,[status(thm)],[f326,f81])).
% 1.41/0.62 fof(f351,plain,(
% 1.41/0.62 ~spl0_3),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f350])).
% 1.41/0.62 fof(f378,plain,(
% 1.41/0.62 spl0_12 <=> m2_fraenkel(sk0_1,u1_struct_0(sk0_0),u1_struct_0(sk0_0),k1_autgroup(sk0_0))),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f379,plain,(
% 1.41/0.62 m2_fraenkel(sk0_1,u1_struct_0(sk0_0),u1_struct_0(sk0_0),k1_autgroup(sk0_0))|~spl0_12),
% 1.41/0.62 inference(component_clause,[status(thm)],[f378])).
% 1.41/0.62 fof(f381,plain,(
% 1.41/0.62 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),k1_autgroup(sk0_0))),
% 1.41/0.62 inference(resolution,[status(thm)],[f283,f86])).
% 1.41/0.62 fof(f382,plain,(
% 1.41/0.62 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_12),
% 1.41/0.62 inference(split_clause,[status(thm)],[f381,f325,f328,f331,f334,f337,f378])).
% 1.41/0.62 fof(f403,plain,(
% 1.41/0.62 spl0_15 <=> m1_subset_1(sk0_1,u1_struct_0(k3_autgroup(sk0_0)))),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f406,plain,(
% 1.41/0.62 spl0_16 <=> k2_funct_1(sk0_1)=k3_group_1(k3_autgroup(sk0_0),sk0_1)),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f407,plain,(
% 1.41/0.62 k2_funct_1(sk0_1)=k3_group_1(k3_autgroup(sk0_0),sk0_1)|~spl0_16),
% 1.41/0.62 inference(component_clause,[status(thm)],[f406])).
% 1.41/0.62 fof(f409,plain,(
% 1.41/0.62 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)|~spl0_12),
% 1.41/0.62 inference(resolution,[status(thm)],[f310,f379])).
% 1.41/0.62 fof(f410,plain,(
% 1.41/0.62 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|~spl0_15|spl0_16|~spl0_12),
% 1.41/0.62 inference(split_clause,[status(thm)],[f409,f325,f328,f331,f334,f337,f403,f406,f378])).
% 1.41/0.62 fof(f1707,plain,(
% 1.41/0.62 ![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))),
% 1.41/0.62 inference(backward_subsumption_resolution,[status(thm)],[f311,f296])).
% 1.41/0.62 fof(f1727,plain,(
% 1.41/0.62 spl0_196 <=> v3_struct_0(k3_autgroup(sk0_0))),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f1728,plain,(
% 1.41/0.62 v3_struct_0(k3_autgroup(sk0_0))|~spl0_196),
% 1.41/0.62 inference(component_clause,[status(thm)],[f1727])).
% 1.41/0.62 fof(f1730,plain,(
% 1.41/0.62 spl0_197 <=> v3_group_1(k3_autgroup(sk0_0))),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f1732,plain,(
% 1.41/0.62 ~v3_group_1(k3_autgroup(sk0_0))|spl0_197),
% 1.41/0.62 inference(component_clause,[status(thm)],[f1730])).
% 1.41/0.62 fof(f1733,plain,(
% 1.41/0.62 spl0_198 <=> l1_group_1(k3_autgroup(sk0_0))),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f1735,plain,(
% 1.41/0.62 ~l1_group_1(k3_autgroup(sk0_0))|spl0_198),
% 1.41/0.62 inference(component_clause,[status(thm)],[f1733])).
% 1.41/0.62 fof(f1958,plain,(
% 1.41/0.62 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_197),
% 1.41/0.62 inference(resolution,[status(thm)],[f141,f1732])).
% 1.41/0.62 fof(f1959,plain,(
% 1.41/0.62 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_197),
% 1.41/0.62 inference(split_clause,[status(thm)],[f1958,f325,f328,f331,f334,f337,f1730])).
% 1.41/0.62 fof(f1960,plain,(
% 1.41/0.62 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_198),
% 1.41/0.62 inference(resolution,[status(thm)],[f143,f1735])).
% 1.41/0.62 fof(f1961,plain,(
% 1.41/0.62 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_198),
% 1.41/0.62 inference(split_clause,[status(thm)],[f1960,f325,f328,f331,f334,f337,f1733])).
% 1.41/0.62 fof(f2010,plain,(
% 1.41/0.62 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_196),
% 1.41/0.62 inference(resolution,[status(thm)],[f1728,f139])).
% 1.41/0.62 fof(f2011,plain,(
% 1.41/0.62 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|~spl0_196),
% 1.41/0.62 inference(split_clause,[status(thm)],[f2010,f325,f328,f331,f334,f337,f1727])).
% 1.41/0.62 fof(f2022,plain,(
% 1.41/0.62 ![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)))),
% 1.41/0.62 inference(resolution,[status(thm)],[f312,f296])).
% 1.41/0.62 fof(f2033,plain,(
% 1.41/0.62 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)),
% 1.41/0.62 inference(resolution,[status(thm)],[f2022,f151])).
% 1.41/0.62 fof(f2034,plain,(
% 1.41/0.62 spl0_196|~spl0_197|~spl0_198|spl0_15|spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7),
% 1.41/0.62 inference(split_clause,[status(thm)],[f2033,f1727,f1730,f1733,f403,f325,f328,f331,f334,f337])).
% 1.41/0.62 fof(f2071,plain,(
% 1.41/0.62 spl0_233 <=> v4_group_1(k3_autgroup(sk0_0))),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f2073,plain,(
% 1.41/0.62 ~v4_group_1(k3_autgroup(sk0_0))|spl0_233),
% 1.41/0.62 inference(component_clause,[status(thm)],[f2071])).
% 1.41/0.62 fof(f2093,plain,(
% 1.41/0.62 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_233),
% 1.41/0.62 inference(resolution,[status(thm)],[f2073,f142])).
% 1.41/0.62 fof(f2094,plain,(
% 1.41/0.62 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_233),
% 1.41/0.62 inference(split_clause,[status(thm)],[f2093,f325,f328,f331,f334,f337,f2071])).
% 1.41/0.62 fof(f2123,plain,(
% 1.41/0.62 spl0_241 <=> ~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)),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f2124,plain,(
% 1.41/0.62 ![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_241)),
% 1.41/0.62 inference(component_clause,[status(thm)],[f2123])).
% 1.41/0.62 fof(f2126,plain,(
% 1.41/0.62 ![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_16)),
% 1.41/0.62 inference(paramodulation,[status(thm)],[f407,f1707])).
% 1.41/0.62 fof(f2127,plain,(
% 1.41/0.62 spl0_196|~spl0_197|~spl0_233|~spl0_198|spl0_241|~spl0_16),
% 1.41/0.62 inference(split_clause,[status(thm)],[f2126,f1727,f1730,f2071,f1733,f2123,f406])).
% 1.41/0.62 fof(f2168,plain,(
% 1.41/0.62 spl0_250 <=> m1_group_2(k5_autgroup(sk0_0),k3_autgroup(sk0_0))),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f2170,plain,(
% 1.41/0.62 ~m1_group_2(k5_autgroup(sk0_0),k3_autgroup(sk0_0))|spl0_250),
% 1.41/0.62 inference(component_clause,[status(thm)],[f2168])).
% 1.41/0.62 fof(f2171,plain,(
% 1.41/0.62 spl0_251 <=> m1_subset_1(sk0_1,u1_struct_0(k5_autgroup(sk0_0)))),
% 1.41/0.62 introduced(split_symbol_definition)).
% 1.41/0.62 fof(f2173,plain,(
% 1.41/0.62 ~m1_subset_1(sk0_1,u1_struct_0(k5_autgroup(sk0_0)))|spl0_251),
% 1.41/0.62 inference(component_clause,[status(thm)],[f2171])).
% 1.41/0.62 fof(f2174,plain,(
% 1.41/0.62 ~m1_group_2(k5_autgroup(sk0_0),k3_autgroup(sk0_0))|~m1_subset_1(sk0_1,u1_struct_0(k5_autgroup(sk0_0)))|~spl0_241),
% 1.41/0.62 inference(resolution,[status(thm)],[f2124,f313])).
% 1.41/0.62 fof(f2175,plain,(
% 1.41/0.62 ~spl0_250|~spl0_251|~spl0_241),
% 1.41/0.62 inference(split_clause,[status(thm)],[f2174,f2168,f2171,f2123])).
% 1.41/0.62 fof(f2178,plain,(
% 1.41/0.62 $false|spl0_251),
% 1.41/0.62 inference(forward_subsumption_resolution,[status(thm)],[f2173,f312])).
% 1.41/0.62 fof(f2179,plain,(
% 1.41/0.62 spl0_251),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f2178])).
% 1.41/0.62 fof(f2180,plain,(
% 1.41/0.62 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_250),
% 1.41/0.62 inference(resolution,[status(thm)],[f2170,f151])).
% 1.41/0.62 fof(f2181,plain,(
% 1.41/0.62 spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7|spl0_250),
% 1.41/0.62 inference(split_clause,[status(thm)],[f2180,f325,f328,f331,f334,f337,f2168])).
% 1.41/0.62 fof(f2182,plain,(
% 1.41/0.62 $false),
% 1.41/0.62 inference(sat_refutation,[status(thm)],[f343,f345,f347,f349,f351,f382,f410,f1959,f1961,f2011,f2034,f2094,f2127,f2175,f2179,f2181])).
% 1.41/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 2.13/0.65 % Elapsed time: 0.283086 seconds
% 2.13/0.65 % CPU time: 2.098239 seconds
% 2.13/0.65 % Total memory used: 92.920 MB
% 2.13/0.65 % Net memory used: 91.959 MB
%------------------------------------------------------------------------------