%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP644+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:37:01 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP644+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:27:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,conjecture,(
% 0.10/0.40 (! [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))=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) )) )) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,negated_conjecture,(
% 0.10/0.40 ~((! [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))=> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)) ) ) )) )) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.40 fof(f16,axiom,(
% 0.10/0.40 (! [A,B] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& m1_subset_1(B,u1_struct_0(A)) )=> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f47,axiom,(
% 0.10/0.40 (! [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) ) ) )) )) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f53,axiom,(
% 0.10/0.40 (! [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)=> ( r1_rlvect_1(C,B)=> r1_rlvect_1(C,k3_group_1(A,B)) ) ) )) )) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f57,plain,(
% 0.10/0.40 (?[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))&~r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B)))))))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 ((((~v3_struct_0(sK0_skl)&v3_group_1(sK0_skl))&v4_group_1(sK0_skl))&l1_group_1(sK0_skl))&((v1_group_1(sK1_skl)&m1_group_2(sK1_skl,sK0_skl))&(m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))&(r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))&~r2_hidden(k3_group_1(sK0_skl,sK2_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))))))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f57])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 ~v3_struct_0(sK0_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f60,plain,(
% 0.10/0.40 v3_group_1(sK0_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 v4_group_1(sK0_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f62,plain,(
% 0.10/0.40 l1_group_1(sK0_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f63,plain,(
% 0.10/0.40 v1_group_1(sK1_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 m1_group_2(sK1_skl,sK0_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f66,plain,(
% 0.10/0.40 r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 ~r2_hidden(k3_group_1(sK0_skl,sK2_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f58])).
% 0.10/0.40 fof(f95,plain,(
% 0.10/0.40 ![A,B]: (((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_subset_1(B,u1_struct_0(A)))|m1_subset_1(k3_group_1(A,B),u1_struct_0(A)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.10/0.40 fof(f96,plain,(
% 0.10/0.40 ![X0,X1]: (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_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f95])).
% 0.10/0.40 fof(f166,plain,(
% 0.10/0.40 ![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)))))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.10/0.40 fof(f167,plain,(
% 0.10/0.40 ![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))))))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f166])).
% 0.10/0.40 fof(f168,plain,(
% 0.10/0.40 ![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))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f167])).
% 0.10/0.40 fof(f169,plain,(
% 0.10/0.40 ![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))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f167])).
% 0.10/0.40 fof(f184,plain,(
% 0.10/0.40 ![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)|(~r1_rlvect_1(C,B)|r1_rlvect_1(C,k3_group_1(A,B))))))))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.10/0.40 fof(f185,plain,(
% 0.10/0.40 ![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)|~r1_rlvect_1(X2,X1)|r1_rlvect_1(X2,k3_group_1(X0,X1)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f184])).
% 0.10/0.40 fof(f203,definition,(
% 0.10/0.40 sQ2_spl <=> (v3_struct_0(sK0_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f204,plain,(
% 0.10/0.40 v3_struct_0(sK0_skl)|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f203])).
% 0.10/0.40 fof(f206,definition,(
% 0.10/0.40 sQ3_spl <=> (v3_group_1(sK0_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f208,plain,(
% 0.10/0.40 ~v3_group_1(sK0_skl)|sQ3_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f206])).
% 0.10/0.40 fof(f209,definition,(
% 0.10/0.40 sQ4_spl <=> (l1_group_1(sK0_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f211,plain,(
% 0.10/0.40 ~l1_group_1(sK0_skl)|sQ4_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f209])).
% 0.10/0.40 fof(f221,plain,(
% 0.10/0.40 $false|sQ4_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f211,f62])).
% 0.10/0.40 fof(f222,plain,(
% 0.10/0.40 sQ4_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f221])).
% 0.10/0.40 fof(f223,plain,(
% 0.10/0.40 $false|sQ3_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f208,f60])).
% 0.10/0.40 fof(f224,plain,(
% 0.10/0.40 sQ3_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f223])).
% 0.10/0.40 fof(f225,plain,(
% 0.10/0.40 $false|~sQ2_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f204,f59])).
% 0.10/0.40 fof(f226,plain,(
% 0.10/0.40 ~sQ2_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f225])).
% 0.10/0.40 fof(f232,plain,(
% 0.10/0.40 v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|m1_subset_1(k3_group_1(sK0_skl,sK2_skl),u1_struct_0(sK0_skl))),
% 0.10/0.40 inference(resolution,[status(thm)],[f96,f65])).
% 0.10/0.40 fof(f233,definition,(
% 0.10/0.40 sQ8_spl <=> (v4_group_1(sK0_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f235,plain,(
% 0.10/0.40 ~v4_group_1(sK0_skl)|sQ8_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f233])).
% 0.10/0.40 fof(f236,definition,(
% 0.10/0.40 sQ9_spl <=> (m1_subset_1(k3_group_1(sK0_skl,sK2_skl),u1_struct_0(sK0_skl)))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f237,plain,(
% 0.10/0.40 m1_subset_1(k3_group_1(sK0_skl,sK2_skl),u1_struct_0(sK0_skl))|~sQ9_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f236])).
% 0.10/0.40 fof(f239,plain,(
% 0.10/0.40 sQ2_spl|~sQ3_spl|~sQ8_spl|~sQ4_spl|sQ9_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f232,f203,f206,f233,f209,f236])).
% 0.10/0.40 fof(f240,plain,(
% 0.10/0.40 $false|sQ8_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f235,f61])).
% 0.10/0.40 fof(f241,plain,(
% 0.10/0.40 sQ8_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f240])).
% 0.10/0.40 fof(f242,plain,(
% 0.10/0.40 v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~v1_group_1(sK1_skl)|~m1_group_2(sK1_skl,sK0_skl)|~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|r1_rlvect_1(sK1_skl,sK2_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f168,f66])).
% 0.10/0.40 fof(f243,definition,(
% 0.10/0.40 sQ10_spl <=> (v1_group_1(sK1_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f245,plain,(
% 0.10/0.40 ~v1_group_1(sK1_skl)|sQ10_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f243])).
% 0.10/0.40 fof(f246,definition,(
% 0.10/0.40 sQ11_spl <=> (m1_group_2(sK1_skl,sK0_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f248,plain,(
% 0.10/0.40 ~m1_group_2(sK1_skl,sK0_skl)|sQ11_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f246])).
% 0.10/0.40 fof(f249,definition,(
% 0.10/0.40 sQ12_spl <=> (m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f251,plain,(
% 0.10/0.40 ~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|sQ12_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f249])).
% 0.10/0.40 fof(f252,definition,(
% 0.10/0.40 sQ13_spl <=> (r1_rlvect_1(sK1_skl,sK2_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f253,plain,(
% 0.10/0.40 r1_rlvect_1(sK1_skl,sK2_skl)|~sQ13_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f252])).
% 0.10/0.40 fof(f255,plain,(
% 0.10/0.40 sQ2_spl|~sQ3_spl|~sQ8_spl|~sQ4_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|sQ13_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f242,f203,f206,f233,f209,f243,f246,f249,f252])).
% 0.10/0.40 fof(f256,plain,(
% 0.10/0.40 ![X0]: (v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~v1_group_1(sK1_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))|~r1_rlvect_1(sK1_skl,X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f169,f64])).
% 0.10/0.40 fof(f257,definition,(
% 0.10/0.40 ![X0]: (sQ14_spl <=> (~m1_subset_1(X0,u1_struct_0(sK0_skl))|r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))|~r1_rlvect_1(sK1_skl,X0)))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f258,plain,(
% 0.10/0.40 ![X0]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|r2_hidden(X0,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))|~r1_rlvect_1(sK1_skl,X0)|~sQ14_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f257])).
% 0.10/0.40 fof(f260,plain,(
% 0.10/0.40 sQ2_spl|~sQ3_spl|~sQ8_spl|~sQ4_spl|~sQ10_spl|sQ14_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f256,f203,f206,f233,f209,f243,f257])).
% 0.10/0.40 fof(f261,plain,(
% 0.10/0.40 $false|sQ10_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f245,f63])).
% 0.10/0.40 fof(f262,plain,(
% 0.10/0.40 sQ10_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f261])).
% 0.10/0.40 fof(f263,plain,(
% 0.10/0.40 ![X0]: (v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~m1_group_2(X0,sK0_skl)|~r1_rlvect_1(X0,sK2_skl)|r1_rlvect_1(X0,k3_group_1(sK0_skl,sK2_skl)))),
% 0.10/0.40 inference(resolution,[status(thm)],[f185,f65])).
% 0.10/0.40 fof(f264,definition,(
% 0.10/0.40 ![X0]: (sQ15_spl <=> (~m1_group_2(X0,sK0_skl)|~r1_rlvect_1(X0,sK2_skl)|r1_rlvect_1(X0,k3_group_1(sK0_skl,sK2_skl))))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f265,plain,(
% 0.10/0.40 ![X0]: (~m1_group_2(X0,sK0_skl)|~r1_rlvect_1(X0,sK2_skl)|r1_rlvect_1(X0,k3_group_1(sK0_skl,sK2_skl))|~sQ15_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f264])).
% 0.10/0.40 fof(f267,plain,(
% 0.10/0.40 sQ2_spl|~sQ3_spl|~sQ8_spl|~sQ4_spl|sQ15_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f263,f203,f206,f233,f209,f264])).
% 0.10/0.40 fof(f316,plain,(
% 0.10/0.40 r2_hidden(k3_group_1(sK0_skl,sK2_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))|~r1_rlvect_1(sK1_skl,k3_group_1(sK0_skl,sK2_skl))|~sQ14_spl|~sQ9_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f258,f237])).
% 0.10/0.40 fof(f318,definition,(
% 0.10/0.40 sQ26_spl <=> (r2_hidden(k3_group_1(sK0_skl,sK2_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f319,plain,(
% 0.10/0.40 r2_hidden(k3_group_1(sK0_skl,sK2_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))|~sQ26_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f318])).
% 0.10/0.40 fof(f321,definition,(
% 0.10/0.40 sQ27_spl <=> (r1_rlvect_1(sK1_skl,k3_group_1(sK0_skl,sK2_skl)))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f324,plain,(
% 0.10/0.40 sQ26_spl|~sQ27_spl|~sQ14_spl|~sQ9_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f316,f318,f321,f257,f236])).
% 0.10/0.40 fof(f329,plain,(
% 0.10/0.40 $false|~sQ26_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f319,f67])).
% 0.10/0.40 fof(f330,plain,(
% 0.10/0.40 ~sQ26_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f329])).
% 0.10/0.40 fof(f331,plain,(
% 0.10/0.40 $false|sQ12_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f251,f65])).
% 0.10/0.40 fof(f332,plain,(
% 0.10/0.40 sQ12_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f331])).
% 0.10/0.40 fof(f333,plain,(
% 0.10/0.40 $false|sQ11_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f248,f64])).
% 0.10/0.40 fof(f334,plain,(
% 0.10/0.40 sQ11_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f333])).
% 0.10/0.40 fof(f335,plain,(
% 0.10/0.40 ~m1_group_2(sK1_skl,sK0_skl)|r1_rlvect_1(sK1_skl,k3_group_1(sK0_skl,sK2_skl))|~sQ13_spl|~sQ15_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f253,f265])).
% 0.10/0.40 fof(f336,plain,(
% 0.10/0.40 ~sQ11_spl|sQ27_spl|~sQ13_spl|~sQ15_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f335,f246,f321,f252,f264])).
% 0.10/0.40 fof(f337,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(sat_refutation,[status(thm)],[f222,f224,f226,f239,f241,f255,f260,f262,f267,f324,f330,f332,f334,f336])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.054302 seconds
% 0.10/0.43 % CPU time: 0.161980 seconds
% 0.10/0.43 % Total memory used: 80.759 MB
% 0.10/0.43 % Net memory used: 80.723 MB
%------------------------------------------------------------------------------