%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP643+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 : n011.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 0.17s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP643+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n011.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 20:25:11 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.51 % Refutation found
% 0.17/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.51 fof(f1,conjecture,(
% 0.17/0.51 (! [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))=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> ( ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))& r2_hidden(D,k1_funct_1(k1_latsubgr(A),B)) )=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) )) )) )) )),
% 0.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f2,negated_conjecture,(
% 0.17/0.51 ~((! [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))=> (! [D] :( m1_subset_1(D,u1_struct_0(A))=> ( ( r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))& r2_hidden(D,k1_funct_1(k1_latsubgr(A),B)) )=> r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)) ) ) )) )) )) ))),
% 0.17/0.51 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.51 fof(f11,axiom,(
% 0.17/0.51 (! [A,B,C] :( ( ~ v3_struct_0(A)& l1_group_1(A)& m1_subset_1(B,u1_struct_0(A))& m1_subset_1(C,u1_struct_0(A)) )=> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) ) )),
% 0.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f47,axiom,(
% 0.17/0.51 (! [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) ) ) )) )) )),
% 0.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f52,axiom,(
% 0.17/0.51 (! [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_subset_1(C,u1_struct_0(A))=> (! [D] :( m1_group_2(D,A)=> ( ( r1_rlvect_1(D,B)& r1_rlvect_1(D,C) )=> r1_rlvect_1(D,k1_group_1(A,B,C)) ) ) )) )) )) )),
% 0.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f57,plain,(
% 0.17/0.51 (?[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))&(?[D]: (m1_subset_1(D,u1_struct_0(A))&((r2_hidden(C,k1_funct_1(k1_latsubgr(A),B))&r2_hidden(D,k1_funct_1(k1_latsubgr(A),B)))&~r2_hidden(k1_group_1(A,C,D),k1_funct_1(k1_latsubgr(A),B)))))))))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.17/0.51 fof(f58,plain,(
% 0.17/0.51 ((((~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))&(m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))&((r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))&r2_hidden(sK3_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)))&~r2_hidden(k1_group_1(sK0_skl,sK2_skl,sK3_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)))))))),
% 0.17/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f57])).
% 0.17/0.51 fof(f59,plain,(
% 0.17/0.51 ~v3_struct_0(sK0_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f60,plain,(
% 0.17/0.51 v3_group_1(sK0_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f61,plain,(
% 0.17/0.51 v4_group_1(sK0_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f62,plain,(
% 0.17/0.51 l1_group_1(sK0_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f63,plain,(
% 0.17/0.51 v1_group_1(sK1_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f64,plain,(
% 0.17/0.51 m1_group_2(sK1_skl,sK0_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f65,plain,(
% 0.17/0.51 m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f66,plain,(
% 0.17/0.51 m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f67,plain,(
% 0.17/0.51 r2_hidden(sK2_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f68,plain,(
% 0.17/0.51 r2_hidden(sK3_skl,k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.53 fof(f69,plain,(
% 0.17/0.53 ~r2_hidden(k1_group_1(sK0_skl,sK2_skl,sK3_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.53 fof(f93,plain,(
% 0.17/0.53 ![A,B,C]: ((((v3_struct_0(A)|~l1_group_1(A))|~m1_subset_1(B,u1_struct_0(A)))|~m1_subset_1(C,u1_struct_0(A)))|m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)))),
% 0.17/0.53 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.17/0.53 fof(f94,plain,(
% 0.17/0.53 ![X0,X1,X2]: (v3_struct_0(X0)|~l1_group_1(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f93])).
% 0.17/0.53 fof(f168,plain,(
% 0.17/0.53 ![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)))))))),
% 0.17/0.53 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.17/0.53 fof(f169,plain,(
% 0.17/0.53 ![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))))))))),
% 0.17/0.53 inference(NNF_transformation,[status(thm)],[f168])).
% 0.17/0.53 fof(f170,plain,(
% 0.17/0.53 ![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))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f169])).
% 0.17/0.53 fof(f171,plain,(
% 0.17/0.53 ![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))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f169])).
% 0.17/0.53 fof(f183,plain,(
% 0.17/0.53 ![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_subset_1(C,u1_struct_0(A))|(![D]: (~m1_group_2(D,A)|((~r1_rlvect_1(D,B)|~r1_rlvect_1(D,C))|r1_rlvect_1(D,k1_group_1(A,B,C))))))))))),
% 0.17/0.53 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.17/0.53 fof(f184,plain,(
% 0.17/0.53 ![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_subset_1(X2,u1_struct_0(X0))|~m1_group_2(X3,X0)|~r1_rlvect_1(X3,X1)|~r1_rlvect_1(X3,X2)|r1_rlvect_1(X3,k1_group_1(X0,X1,X2)))),
% 0.17/0.53 inference(cnf_transformation,[status(thm)],[f183])).
% 0.17/0.53 fof(f210,definition,(
% 0.17/0.53 sQ3_spl <=> (v3_struct_0(sK0_skl))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f211,plain,(
% 0.17/0.53 v3_struct_0(sK0_skl)|~sQ3_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f210])).
% 0.17/0.53 fof(f213,definition,(
% 0.17/0.53 sQ4_spl <=> (v3_group_1(sK0_skl))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f215,plain,(
% 0.17/0.53 ~v3_group_1(sK0_skl)|sQ4_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f213])).
% 0.17/0.53 fof(f216,definition,(
% 0.17/0.53 sQ5_spl <=> (l1_group_1(sK0_skl))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f218,plain,(
% 0.17/0.53 ~l1_group_1(sK0_skl)|sQ5_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f216])).
% 0.17/0.53 fof(f228,plain,(
% 0.17/0.53 $false|sQ5_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f218,f62])).
% 0.17/0.53 fof(f229,plain,(
% 0.17/0.53 sQ5_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f228])).
% 0.17/0.53 fof(f230,plain,(
% 0.17/0.53 $false|sQ4_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f215,f60])).
% 0.17/0.53 fof(f231,plain,(
% 0.17/0.53 sQ4_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f230])).
% 0.17/0.53 fof(f232,plain,(
% 0.17/0.53 $false|~sQ3_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f211,f59])).
% 0.17/0.53 fof(f233,plain,(
% 0.17/0.53 ~sQ3_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f232])).
% 0.17/0.53 fof(f240,plain,(
% 0.17/0.53 ![X0]: (v3_struct_0(sK0_skl)|~l1_group_1(sK0_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|m1_subset_1(k1_group_1(sK0_skl,sK2_skl,X0),u1_struct_0(sK0_skl)))),
% 0.17/0.53 inference(resolution,[status(thm)],[f94,f65])).
% 0.17/0.53 fof(f245,definition,(
% 0.17/0.53 ![X0]: (sQ10_spl <=> (~m1_subset_1(X0,u1_struct_0(sK0_skl))|m1_subset_1(k1_group_1(sK0_skl,sK2_skl,X0),u1_struct_0(sK0_skl))))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f246,plain,(
% 0.17/0.53 ![X0]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|m1_subset_1(k1_group_1(sK0_skl,sK2_skl,X0),u1_struct_0(sK0_skl))|~sQ10_spl)),
% 0.17/0.53 inference(component_clause,[status(thm)],[f245])).
% 0.17/0.53 fof(f248,plain,(
% 0.17/0.53 sQ3_spl|~sQ5_spl|sQ10_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f240,f210,f216,f245])).
% 0.17/0.53 fof(f249,plain,(
% 0.17/0.53 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)),
% 0.17/0.53 inference(resolution,[status(thm)],[f170,f67])).
% 0.17/0.53 fof(f250,definition,(
% 0.17/0.53 sQ11_spl <=> (v4_group_1(sK0_skl))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f252,plain,(
% 0.17/0.53 ~v4_group_1(sK0_skl)|sQ11_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f250])).
% 0.17/0.53 fof(f253,definition,(
% 0.17/0.53 sQ12_spl <=> (v1_group_1(sK1_skl))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f255,plain,(
% 0.17/0.53 ~v1_group_1(sK1_skl)|sQ12_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f253])).
% 0.17/0.53 fof(f256,definition,(
% 0.17/0.53 sQ13_spl <=> (m1_group_2(sK1_skl,sK0_skl))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f258,plain,(
% 0.17/0.53 ~m1_group_2(sK1_skl,sK0_skl)|sQ13_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f256])).
% 0.17/0.53 fof(f259,definition,(
% 0.17/0.53 sQ14_spl <=> (m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f261,plain,(
% 0.17/0.53 ~m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))|sQ14_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f259])).
% 0.17/0.53 fof(f262,definition,(
% 0.17/0.53 sQ15_spl <=> (r1_rlvect_1(sK1_skl,sK2_skl))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f265,plain,(
% 0.17/0.53 sQ3_spl|~sQ4_spl|~sQ11_spl|~sQ5_spl|~sQ12_spl|~sQ13_spl|~sQ14_spl|sQ15_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f249,f210,f213,f250,f216,f253,f256,f259,f262])).
% 0.17/0.53 fof(f266,plain,(
% 0.17/0.53 ![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))),
% 0.17/0.53 inference(resolution,[status(thm)],[f171,f64])).
% 0.17/0.53 fof(f267,definition,(
% 0.17/0.53 ![X0]: (sQ16_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)))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f268,plain,(
% 0.17/0.53 ![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)|~sQ16_spl)),
% 0.17/0.53 inference(component_clause,[status(thm)],[f267])).
% 0.17/0.53 fof(f270,plain,(
% 0.17/0.53 sQ3_spl|~sQ4_spl|~sQ11_spl|~sQ5_spl|~sQ12_spl|sQ16_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f266,f210,f213,f250,f216,f253,f267])).
% 0.17/0.53 fof(f271,plain,(
% 0.17/0.53 $false|sQ12_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f255,f63])).
% 0.17/0.53 fof(f272,plain,(
% 0.17/0.53 sQ12_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f271])).
% 0.17/0.53 fof(f273,plain,(
% 0.17/0.53 $false|sQ11_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f252,f61])).
% 0.17/0.53 fof(f274,plain,(
% 0.17/0.53 sQ11_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f273])).
% 0.17/0.53 fof(f276,plain,(
% 0.17/0.53 ![X0,X1]: (v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_group_2(X1,sK0_skl)|~r1_rlvect_1(X1,sK2_skl)|~r1_rlvect_1(X1,X0)|r1_rlvect_1(X1,k1_group_1(sK0_skl,sK2_skl,X0)))),
% 0.17/0.53 inference(resolution,[status(thm)],[f184,f65])).
% 0.17/0.53 fof(f281,definition,(
% 0.17/0.53 ![X0,X1]: (sQ18_spl <=> (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_group_2(X1,sK0_skl)|~r1_rlvect_1(X1,sK2_skl)|~r1_rlvect_1(X1,X0)|r1_rlvect_1(X1,k1_group_1(sK0_skl,sK2_skl,X0))))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f282,plain,(
% 0.17/0.53 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sK0_skl))|~m1_group_2(X1,sK0_skl)|~r1_rlvect_1(X1,sK2_skl)|~r1_rlvect_1(X1,X0)|r1_rlvect_1(X1,k1_group_1(sK0_skl,sK2_skl,X0))|~sQ18_spl)),
% 0.17/0.53 inference(component_clause,[status(thm)],[f281])).
% 0.17/0.53 fof(f284,plain,(
% 0.17/0.53 sQ3_spl|~sQ4_spl|~sQ11_spl|~sQ5_spl|sQ18_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f276,f210,f213,f250,f216,f281])).
% 0.17/0.53 fof(f310,plain,(
% 0.17/0.53 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(sK3_skl,u1_struct_0(sK0_skl))|r1_rlvect_1(sK1_skl,sK3_skl)),
% 0.17/0.53 inference(resolution,[status(thm)],[f68,f170])).
% 0.17/0.53 fof(f311,definition,(
% 0.17/0.53 sQ24_spl <=> (m1_subset_1(sK3_skl,u1_struct_0(sK0_skl)))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f313,plain,(
% 0.17/0.53 ~m1_subset_1(sK3_skl,u1_struct_0(sK0_skl))|sQ24_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f311])).
% 0.17/0.53 fof(f314,definition,(
% 0.17/0.53 sQ25_spl <=> (r1_rlvect_1(sK1_skl,sK3_skl))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f315,plain,(
% 0.17/0.53 r1_rlvect_1(sK1_skl,sK3_skl)|~sQ25_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f314])).
% 0.17/0.53 fof(f317,plain,(
% 0.17/0.53 sQ3_spl|~sQ4_spl|~sQ11_spl|~sQ5_spl|~sQ12_spl|~sQ13_spl|~sQ24_spl|sQ25_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f310,f210,f213,f250,f216,f253,f256,f311,f314])).
% 0.17/0.53 fof(f318,plain,(
% 0.17/0.53 $false|sQ13_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f258,f64])).
% 0.17/0.53 fof(f319,plain,(
% 0.17/0.53 sQ13_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f318])).
% 0.17/0.53 fof(f320,plain,(
% 0.17/0.53 $false|sQ14_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f261,f65])).
% 0.17/0.53 fof(f321,plain,(
% 0.17/0.53 sQ14_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f320])).
% 0.17/0.53 fof(f322,plain,(
% 0.17/0.53 $false|sQ24_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f313,f66])).
% 0.17/0.53 fof(f323,plain,(
% 0.17/0.53 sQ24_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f322])).
% 0.17/0.53 fof(f413,plain,(
% 0.17/0.53 m1_subset_1(k1_group_1(sK0_skl,sK2_skl,sK3_skl),u1_struct_0(sK0_skl))|~sQ10_spl),
% 0.17/0.53 inference(resolution,[status(thm)],[f246,f66])).
% 0.17/0.53 fof(f449,plain,(
% 0.17/0.53 ![X0]: (~m1_group_2(X0,sK0_skl)|~r1_rlvect_1(X0,sK2_skl)|~r1_rlvect_1(X0,sK3_skl)|r1_rlvect_1(X0,k1_group_1(sK0_skl,sK2_skl,sK3_skl))|~sQ18_spl)),
% 0.17/0.53 inference(resolution,[status(thm)],[f282,f66])).
% 0.17/0.53 fof(f454,plain,(
% 0.17/0.53 r2_hidden(k1_group_1(sK0_skl,sK2_skl,sK3_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))|~r1_rlvect_1(sK1_skl,k1_group_1(sK0_skl,sK2_skl,sK3_skl))|~sQ10_spl|~sQ16_spl),
% 0.17/0.53 inference(resolution,[status(thm)],[f413,f268])).
% 0.17/0.53 fof(f460,definition,(
% 0.17/0.53 sQ51_spl <=> (r2_hidden(k1_group_1(sK0_skl,sK2_skl,sK3_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl)))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f461,plain,(
% 0.17/0.53 r2_hidden(k1_group_1(sK0_skl,sK2_skl,sK3_skl),k1_funct_1(k1_latsubgr(sK0_skl),sK1_skl))|~sQ51_spl),
% 0.17/0.53 inference(component_clause,[status(thm)],[f460])).
% 0.17/0.53 fof(f463,definition,(
% 0.17/0.53 sQ52_spl <=> (r1_rlvect_1(sK1_skl,k1_group_1(sK0_skl,sK2_skl,sK3_skl)))),
% 0.17/0.53 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.17/0.53 fof(f466,plain,(
% 0.17/0.53 sQ51_spl|~sQ52_spl|~sQ10_spl|~sQ16_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f454,f460,f463,f245,f267])).
% 0.17/0.53 fof(f479,plain,(
% 0.17/0.53 $false|~sQ51_spl),
% 0.17/0.53 inference(forward_subsumption_resolution,[status(thm)],[f461,f69])).
% 0.17/0.53 fof(f480,plain,(
% 0.17/0.53 ~sQ51_spl),
% 0.17/0.53 inference(contradiction_clause,[status(thm)],[f479])).
% 0.17/0.53 fof(f513,plain,(
% 0.17/0.53 ~m1_group_2(sK1_skl,sK0_skl)|~r1_rlvect_1(sK1_skl,sK2_skl)|r1_rlvect_1(sK1_skl,k1_group_1(sK0_skl,sK2_skl,sK3_skl))|~sQ18_spl|~sQ25_spl),
% 0.17/0.53 inference(resolution,[status(thm)],[f449,f315])).
% 0.17/0.53 fof(f514,plain,(
% 0.17/0.53 ~sQ13_spl|~sQ15_spl|sQ52_spl|~sQ18_spl|~sQ25_spl),
% 0.17/0.53 inference(split_clause,[status(thm)],[f513,f256,f262,f463,f281,f314])).
% 0.17/0.53 fof(f515,plain,(
% 0.17/0.53 $false),
% 0.17/0.53 inference(sat_refutation,[status(thm)],[f229,f231,f233,f248,f265,f270,f272,f274,f284,f317,f319,f321,f323,f466,f480,f514])).
% 0.17/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.56 % Elapsed time: 0.099139 seconds
% 0.17/0.56 % CPU time: 0.269312 seconds
% 0.17/0.56 % Total memory used: 54.765 MB
% 0.17/0.56 % Net memory used: 54.650 MB
%------------------------------------------------------------------------------