TSTP Solution File: GRP643+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:12:23 EDT 2023
% Result : Theorem 0.09s 0.31s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP643+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:25:16 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.31 fof(f1,conjecture,(
% 0.09/0.31 (! [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)) ) ) )) )) )) )),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f2,negated_conjecture,(
% 0.09/0.31 ~((! [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)) ) ) )) )) )) ))),
% 0.09/0.31 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.31 fof(f11,axiom,(
% 0.09/0.31 (! [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)) ) )),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f34,axiom,(
% 0.09/0.31 v1_xboole_0(k1_xboole_0) ),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f47,axiom,(
% 0.09/0.31 (! [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) ) ) )) )) )),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f48,axiom,(
% 0.09/0.31 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f49,axiom,(
% 0.09/0.31 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f52,axiom,(
% 0.09/0.31 (! [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)) ) ) )) )) )) )),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f54,axiom,(
% 0.09/0.31 (! [A] :( v1_xboole_0(A)=> A = k1_xboole_0 ) )),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f55,axiom,(
% 0.09/0.31 (! [A,B] :~ ( r2_hidden(A,B)& v1_xboole_0(B) ) )),
% 0.09/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f57,plain,(
% 0.09/0.31 (?[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)))))))))))),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.09/0.31 fof(f58,plain,(
% 0.09/0.31 ((((~v3_struct_0(sk0_0)&v3_group_1(sk0_0))&v4_group_1(sk0_0))&l1_group_1(sk0_0))&((v1_group_1(sk0_1)&m1_group_2(sk0_1,sk0_0))&(m1_subset_1(sk0_2,u1_struct_0(sk0_0))&(m1_subset_1(sk0_3,u1_struct_0(sk0_0))&((r2_hidden(sk0_2,k1_funct_1(k1_latsubgr(sk0_0),sk0_1))&r2_hidden(sk0_3,k1_funct_1(k1_latsubgr(sk0_0),sk0_1)))&~r2_hidden(k1_group_1(sk0_0,sk0_2,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1)))))))),
% 0.09/0.31 inference(skolemization,[status(esa)],[f57])).
% 0.09/0.31 fof(f59,plain,(
% 0.09/0.31 ~v3_struct_0(sk0_0)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f60,plain,(
% 0.09/0.31 v3_group_1(sk0_0)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f61,plain,(
% 0.09/0.31 v4_group_1(sk0_0)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f62,plain,(
% 0.09/0.31 l1_group_1(sk0_0)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f63,plain,(
% 0.09/0.31 v1_group_1(sk0_1)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f64,plain,(
% 0.09/0.31 m1_group_2(sk0_1,sk0_0)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f65,plain,(
% 0.09/0.31 m1_subset_1(sk0_2,u1_struct_0(sk0_0))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f66,plain,(
% 0.09/0.31 m1_subset_1(sk0_3,u1_struct_0(sk0_0))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f67,plain,(
% 0.09/0.31 r2_hidden(sk0_2,k1_funct_1(k1_latsubgr(sk0_0),sk0_1))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f68,plain,(
% 0.09/0.31 r2_hidden(sk0_3,k1_funct_1(k1_latsubgr(sk0_0),sk0_1))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f69,plain,(
% 0.09/0.31 ~r2_hidden(k1_group_1(sk0_0,sk0_2,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f58])).
% 0.09/0.31 fof(f93,plain,(
% 0.09/0.31 ![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)))),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.09/0.31 fof(f94,plain,(
% 0.09/0.31 ![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)))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f93])).
% 0.09/0.31 fof(f129,plain,(
% 0.09/0.31 v1_xboole_0(k1_xboole_0)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f34])).
% 0.09/0.31 fof(f168,plain,(
% 0.09/0.31 ![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)))))))),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.09/0.31 fof(f169,plain,(
% 0.09/0.31 ![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))))))))),
% 0.09/0.31 inference(NNF_transformation,[status(esa)],[f168])).
% 0.09/0.31 fof(f170,plain,(
% 0.09/0.31 ![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))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f169])).
% 0.09/0.31 fof(f171,plain,(
% 0.09/0.31 ![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))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f169])).
% 0.09/0.31 fof(f172,plain,(
% 0.09/0.31 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.09/0.31 fof(f173,plain,(
% 0.09/0.31 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f172])).
% 0.09/0.31 fof(f174,plain,(
% 0.09/0.31 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.09/0.31 fof(f175,plain,(
% 0.09/0.31 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f174])).
% 0.09/0.31 fof(f183,plain,(
% 0.09/0.31 ![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))))))))))),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 0.09/0.31 fof(f184,plain,(
% 0.09/0.31 ![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)))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f183])).
% 0.09/0.31 fof(f188,plain,(
% 0.09/0.31 ![A]: (~v1_xboole_0(A)|A=k1_xboole_0)),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.09/0.31 fof(f189,plain,(
% 0.09/0.31 ![X0]: (~v1_xboole_0(X0)|X0=k1_xboole_0)),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f188])).
% 0.09/0.31 fof(f190,plain,(
% 0.09/0.31 ![A,B]: (~r2_hidden(A,B)|~v1_xboole_0(B))),
% 0.09/0.31 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.09/0.31 fof(f191,plain,(
% 0.09/0.31 ![B]: ((![A]: ~r2_hidden(A,B))|~v1_xboole_0(B))),
% 0.09/0.31 inference(miniscoping,[status(esa)],[f190])).
% 0.09/0.31 fof(f192,plain,(
% 0.09/0.31 ![X0,X1]: (~r2_hidden(X0,X1)|~v1_xboole_0(X1))),
% 0.09/0.31 inference(cnf_transformation,[status(esa)],[f191])).
% 0.09/0.31 fof(f218,plain,(
% 0.09/0.31 spl0_4 <=> m1_subset_1(k1_group_1(sk0_0,sk0_2,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f220,plain,(
% 0.09/0.31 ~m1_subset_1(k1_group_1(sk0_0,sk0_2,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|spl0_4),
% 0.09/0.31 inference(component_clause,[status(thm)],[f218])).
% 0.09/0.31 fof(f221,plain,(
% 0.09/0.31 spl0_5 <=> v1_xboole_0(k1_funct_1(k1_latsubgr(sk0_0),sk0_1))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f222,plain,(
% 0.09/0.31 v1_xboole_0(k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|~spl0_5),
% 0.09/0.31 inference(component_clause,[status(thm)],[f221])).
% 0.09/0.31 fof(f224,plain,(
% 0.09/0.31 ~m1_subset_1(k1_group_1(sk0_0,sk0_2,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|v1_xboole_0(k1_funct_1(k1_latsubgr(sk0_0),sk0_1))),
% 0.09/0.31 inference(resolution,[status(thm)],[f69,f175])).
% 0.09/0.31 fof(f225,plain,(
% 0.09/0.31 ~spl0_4|spl0_5),
% 0.09/0.31 inference(split_clause,[status(thm)],[f224,f218,f221])).
% 0.09/0.31 fof(f226,plain,(
% 0.09/0.31 ![X0]: (~r2_hidden(X0,k1_xboole_0))),
% 0.09/0.31 inference(resolution,[status(thm)],[f129,f192])).
% 0.09/0.31 fof(f286,plain,(
% 0.09/0.31 spl0_15 <=> v3_struct_0(sk0_0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f287,plain,(
% 0.09/0.31 v3_struct_0(sk0_0)|~spl0_15),
% 0.09/0.31 inference(component_clause,[status(thm)],[f286])).
% 0.09/0.31 fof(f289,plain,(
% 0.09/0.31 spl0_16 <=> l1_group_1(sk0_0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f291,plain,(
% 0.09/0.31 ~l1_group_1(sk0_0)|spl0_16),
% 0.09/0.31 inference(component_clause,[status(thm)],[f289])).
% 0.09/0.31 fof(f297,plain,(
% 0.09/0.31 $false|spl0_16),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f291,f62])).
% 0.09/0.31 fof(f298,plain,(
% 0.09/0.31 spl0_16),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f297])).
% 0.09/0.31 fof(f299,plain,(
% 0.09/0.31 $false|~spl0_15),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f287,f59])).
% 0.09/0.31 fof(f300,plain,(
% 0.09/0.31 ~spl0_15),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f299])).
% 0.09/0.31 fof(f310,plain,(
% 0.09/0.31 spl0_20 <=> v3_group_1(sk0_0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f312,plain,(
% 0.09/0.31 ~v3_group_1(sk0_0)|spl0_20),
% 0.09/0.31 inference(component_clause,[status(thm)],[f310])).
% 0.09/0.31 fof(f315,plain,(
% 0.09/0.31 $false|spl0_20),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f312,f60])).
% 0.09/0.31 fof(f316,plain,(
% 0.09/0.31 spl0_20),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f315])).
% 0.09/0.31 fof(f327,plain,(
% 0.09/0.31 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sk0_1,X0)|~m1_subset_1(X1,u1_struct_0(X0))|~r2_hidden(X1,k1_funct_1(k1_latsubgr(X0),sk0_1))|r1_rlvect_1(sk0_1,X1))),
% 0.09/0.31 inference(resolution,[status(thm)],[f170,f63])).
% 0.09/0.31 fof(f328,plain,(
% 0.09/0.31 spl0_22 <=> v4_group_1(sk0_0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f330,plain,(
% 0.09/0.31 ~v4_group_1(sk0_0)|spl0_22),
% 0.09/0.31 inference(component_clause,[status(thm)],[f328])).
% 0.09/0.31 fof(f331,plain,(
% 0.09/0.31 spl0_23 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|~r2_hidden(X0,k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|r1_rlvect_1(sk0_1,X0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f332,plain,(
% 0.09/0.31 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r2_hidden(X0,k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|r1_rlvect_1(sk0_1,X0)|~spl0_23)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f331])).
% 0.09/0.31 fof(f334,plain,(
% 0.09/0.31 ![X0]: (v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_subset_1(X0,u1_struct_0(sk0_0))|~r2_hidden(X0,k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|r1_rlvect_1(sk0_1,X0))),
% 0.09/0.31 inference(resolution,[status(thm)],[f327,f64])).
% 0.09/0.31 fof(f335,plain,(
% 0.09/0.31 spl0_15|~spl0_20|~spl0_22|~spl0_16|spl0_23),
% 0.09/0.31 inference(split_clause,[status(thm)],[f334,f286,f310,f328,f289,f331])).
% 0.09/0.31 fof(f336,plain,(
% 0.09/0.31 $false|spl0_22),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f330,f61])).
% 0.09/0.31 fof(f337,plain,(
% 0.09/0.31 spl0_22),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f336])).
% 0.09/0.31 fof(f411,plain,(
% 0.09/0.31 spl0_30 <=> m1_subset_1(sk0_3,u1_struct_0(sk0_0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f413,plain,(
% 0.09/0.31 ~m1_subset_1(sk0_3,u1_struct_0(sk0_0))|spl0_30),
% 0.09/0.31 inference(component_clause,[status(thm)],[f411])).
% 0.09/0.31 fof(f414,plain,(
% 0.09/0.31 spl0_31 <=> r1_rlvect_1(sk0_1,sk0_3)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f415,plain,(
% 0.09/0.31 r1_rlvect_1(sk0_1,sk0_3)|~spl0_31),
% 0.09/0.31 inference(component_clause,[status(thm)],[f414])).
% 0.09/0.31 fof(f417,plain,(
% 0.09/0.31 ~m1_subset_1(sk0_3,u1_struct_0(sk0_0))|r1_rlvect_1(sk0_1,sk0_3)|~spl0_23),
% 0.09/0.31 inference(resolution,[status(thm)],[f332,f68])).
% 0.09/0.31 fof(f418,plain,(
% 0.09/0.31 ~spl0_30|spl0_31|~spl0_23),
% 0.09/0.31 inference(split_clause,[status(thm)],[f417,f411,f414,f331])).
% 0.09/0.31 fof(f419,plain,(
% 0.09/0.31 spl0_32 <=> m1_subset_1(sk0_2,u1_struct_0(sk0_0))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f421,plain,(
% 0.09/0.31 ~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|spl0_32),
% 0.09/0.31 inference(component_clause,[status(thm)],[f419])).
% 0.09/0.31 fof(f422,plain,(
% 0.09/0.31 spl0_33 <=> r1_rlvect_1(sk0_1,sk0_2)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f425,plain,(
% 0.09/0.31 ~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|r1_rlvect_1(sk0_1,sk0_2)|~spl0_23),
% 0.09/0.31 inference(resolution,[status(thm)],[f332,f67])).
% 0.09/0.31 fof(f426,plain,(
% 0.09/0.31 ~spl0_32|spl0_33|~spl0_23),
% 0.09/0.31 inference(split_clause,[status(thm)],[f425,f419,f422,f331])).
% 0.09/0.31 fof(f432,plain,(
% 0.09/0.31 $false|spl0_30),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f413,f66])).
% 0.09/0.31 fof(f433,plain,(
% 0.09/0.31 spl0_30),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f432])).
% 0.09/0.31 fof(f434,plain,(
% 0.09/0.31 $false|spl0_32),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f421,f65])).
% 0.09/0.31 fof(f435,plain,(
% 0.09/0.31 spl0_32),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f434])).
% 0.09/0.31 fof(f436,plain,(
% 0.09/0.31 ![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(sk0_3,u1_struct_0(X0))|~m1_group_2(sk0_1,X0)|~r1_rlvect_1(sk0_1,X1)|r1_rlvect_1(sk0_1,k1_group_1(X0,X1,sk0_3))|~spl0_31)),
% 0.09/0.31 inference(resolution,[status(thm)],[f415,f184])).
% 0.09/0.31 fof(f440,plain,(
% 0.09/0.31 spl0_36 <=> v1_group_1(sk0_1)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f442,plain,(
% 0.09/0.31 ~v1_group_1(sk0_1)|spl0_36),
% 0.09/0.31 inference(component_clause,[status(thm)],[f440])).
% 0.09/0.31 fof(f445,plain,(
% 0.09/0.31 $false|spl0_36),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f442,f63])).
% 0.09/0.31 fof(f446,plain,(
% 0.09/0.31 spl0_36),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f445])).
% 0.09/0.31 fof(f453,plain,(
% 0.09/0.31 k1_funct_1(k1_latsubgr(sk0_0),sk0_1)=k1_xboole_0|~spl0_5),
% 0.09/0.31 inference(resolution,[status(thm)],[f222,f189])).
% 0.09/0.31 fof(f465,plain,(
% 0.09/0.31 r2_hidden(sk0_3,k1_xboole_0)|~spl0_5),
% 0.09/0.31 inference(backward_demodulation,[status(thm)],[f453,f68])).
% 0.09/0.31 fof(f466,plain,(
% 0.09/0.31 $false|~spl0_5),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f465,f226])).
% 0.09/0.31 fof(f467,plain,(
% 0.09/0.31 ~spl0_5),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f466])).
% 0.09/0.31 fof(f500,plain,(
% 0.09/0.31 spl0_46 <=> m1_group_2(sk0_1,sk0_0)),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f502,plain,(
% 0.09/0.31 ~m1_group_2(sk0_1,sk0_0)|spl0_46),
% 0.09/0.31 inference(component_clause,[status(thm)],[f500])).
% 0.09/0.31 fof(f508,plain,(
% 0.09/0.31 $false|spl0_46),
% 0.09/0.31 inference(forward_subsumption_resolution,[status(thm)],[f502,f64])).
% 0.09/0.31 fof(f509,plain,(
% 0.09/0.31 spl0_46),
% 0.09/0.31 inference(contradiction_clause,[status(thm)],[f508])).
% 0.09/0.31 fof(f510,plain,(
% 0.09/0.31 spl0_48 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|r1_rlvect_1(sk0_1,k1_group_1(sk0_0,X0,sk0_3))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f511,plain,(
% 0.09/0.31 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|r1_rlvect_1(sk0_1,k1_group_1(sk0_0,X0,sk0_3))|~spl0_48)),
% 0.09/0.31 inference(component_clause,[status(thm)],[f510])).
% 0.09/0.31 fof(f513,plain,(
% 0.09/0.31 ![X0]: (v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_group_2(sk0_1,sk0_0)|~r1_rlvect_1(sk0_1,X0)|r1_rlvect_1(sk0_1,k1_group_1(sk0_0,X0,sk0_3))|~spl0_31)),
% 0.09/0.31 inference(resolution,[status(thm)],[f436,f66])).
% 0.09/0.31 fof(f514,plain,(
% 0.09/0.31 spl0_15|~spl0_20|~spl0_22|~spl0_16|spl0_48|~spl0_46|~spl0_31),
% 0.09/0.31 inference(split_clause,[status(thm)],[f513,f286,f310,f328,f289,f510,f500,f414])).
% 0.09/0.31 fof(f533,plain,(
% 0.09/0.31 spl0_50 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|~m1_group_2(sk0_1,X1)|~m1_subset_1(k1_group_1(sk0_0,X0,sk0_3),u1_struct_0(X1))|r2_hidden(k1_group_1(sk0_0,X0,sk0_3),k1_funct_1(k1_latsubgr(X1),sk0_1))),
% 0.09/0.31 introduced(split_symbol_definition)).
% 0.09/0.31 fof(f534,plain,(
% 0.09/0.31 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|~m1_group_2(sk0_1,X1)|~m1_subset_1(k1_group_1(sk0_0,X0,sk0_3),u1_struct_0(X1))|r2_hidden(k1_group_1(sk0_0,X0,sk0_3),k1_funct_1(k1_latsubgr(X1),sk0_1))|~spl0_50)),
% 0.13/0.52 inference(component_clause,[status(thm)],[f533])).
% 0.13/0.52 fof(f536,plain,(
% 0.13/0.52 ![X0,X1]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|v3_struct_0(X1)|~v3_group_1(X1)|~v4_group_1(X1)|~l1_group_1(X1)|~v1_group_1(sk0_1)|~m1_group_2(sk0_1,X1)|~m1_subset_1(k1_group_1(sk0_0,X0,sk0_3),u1_struct_0(X1))|r2_hidden(k1_group_1(sk0_0,X0,sk0_3),k1_funct_1(k1_latsubgr(X1),sk0_1))|~spl0_48)),
% 0.13/0.52 inference(resolution,[status(thm)],[f511,f171])).
% 0.13/0.52 fof(f537,plain,(
% 0.13/0.52 spl0_50|~spl0_36|~spl0_48),
% 0.13/0.52 inference(split_clause,[status(thm)],[f536,f533,f440,f510])).
% 0.13/0.52 fof(f561,plain,(
% 0.13/0.52 spl0_53 <=> ~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|r2_hidden(k1_group_1(sk0_0,X0,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|~m1_subset_1(X0,u1_struct_0(sk0_0))),
% 0.13/0.52 introduced(split_symbol_definition)).
% 0.13/0.52 fof(f562,plain,(
% 0.13/0.52 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|r2_hidden(k1_group_1(sk0_0,X0,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|~m1_subset_1(X0,u1_struct_0(sk0_0))|~spl0_53)),
% 0.13/0.52 inference(component_clause,[status(thm)],[f561])).
% 0.13/0.52 fof(f564,plain,(
% 0.13/0.52 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|v3_struct_0(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|~l1_group_1(sk0_0)|~m1_group_2(sk0_1,sk0_0)|r2_hidden(k1_group_1(sk0_0,X0,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|v3_struct_0(sk0_0)|~l1_group_1(sk0_0)|~m1_subset_1(X0,u1_struct_0(sk0_0))|~m1_subset_1(sk0_3,u1_struct_0(sk0_0))|~spl0_50)),
% 0.13/0.52 inference(resolution,[status(thm)],[f534,f94])).
% 0.13/0.52 fof(f565,plain,(
% 0.13/0.52 spl0_53|spl0_15|~spl0_20|~spl0_22|~spl0_16|~spl0_46|~spl0_30|~spl0_50),
% 0.13/0.52 inference(split_clause,[status(thm)],[f564,f561,f286,f310,f328,f289,f500,f411,f533])).
% 0.13/0.52 fof(f566,plain,(
% 0.13/0.52 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|r2_hidden(k1_group_1(sk0_0,X0,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|~spl0_53)),
% 0.13/0.52 inference(duplicate_literals_removal,[status(esa)],[f562])).
% 0.13/0.52 fof(f568,plain,(
% 0.13/0.52 ![X0]: (~m1_subset_1(X0,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,X0)|m1_subset_1(k1_group_1(sk0_0,X0,sk0_3),k1_funct_1(k1_latsubgr(sk0_0),sk0_1))|~spl0_53)),
% 0.13/0.52 inference(resolution,[status(thm)],[f566,f173])).
% 0.13/0.52 fof(f570,plain,(
% 0.13/0.52 ~m1_subset_1(sk0_2,u1_struct_0(sk0_0))|~r1_rlvect_1(sk0_1,sk0_2)|~spl0_53|spl0_4),
% 0.13/0.52 inference(resolution,[status(thm)],[f568,f220])).
% 0.13/0.52 fof(f571,plain,(
% 0.13/0.52 ~spl0_32|~spl0_33|~spl0_53|spl0_4),
% 0.13/0.52 inference(split_clause,[status(thm)],[f570,f419,f422,f561,f218])).
% 0.13/0.52 fof(f577,plain,(
% 0.13/0.52 $false),
% 0.13/0.52 inference(sat_refutation,[status(thm)],[f225,f298,f300,f316,f335,f337,f418,f426,f433,f435,f446,f467,f509,f514,f537,f565,f571])).
% 0.13/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.52 % Elapsed time: 0.016247 seconds
% 0.13/0.52 % CPU time: 0.022777 seconds
% 0.13/0.52 % Memory used: 3.274 MB
%------------------------------------------------------------------------------