TSTP Solution File: GRP623+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP623+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:12:15 EDT 2023
% Result : Theorem 4.04s 0.89s
% Output : CNFRefutation 4.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP623+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:32:55 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 4.04/0.89 % Refutation found
% 4.04/0.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.04/0.89 % SZS output start CNFRefutation for theBenchmark
% 4.04/0.89 fof(f1,conjecture,(
% 4.04/0.89 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> r1_tarski(k4_autgroup(A),k1_autgroup(A)) ) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f2,negated_conjecture,(
% 4.04/0.89 ~((! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> r1_tarski(k4_autgroup(A),k1_autgroup(A)) ) ))),
% 4.04/0.89 inference(negated_conjecture,[status(cth)],[f1])).
% 4.04/0.89 fof(f13,axiom,(
% 4.04/0.89 (! [A,B] :( r1_tarski(A,B)<=> (! [C] :( r2_hidden(C,A)=> r2_hidden(C,B) ) )) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f15,axiom,(
% 4.04/0.89 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f19,axiom,(
% 4.04/0.89 (! [A] :( ( ~ v3_struct_0(A)& v1_group_1(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) ) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f20,axiom,(
% 4.04/0.89 (! [A] :( l1_group_1(A)=> l1_struct_0(A) ) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f22,axiom,(
% 4.04/0.89 (! [A,B,C] :( m1_fraenkel(C,A,B)=> ( ~ v1_xboole_0(C)& v1_fraenkel(C) ) ) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f37,axiom,(
% 4.04/0.89 (! [A] :( ( ~ v3_struct_0(A)& l1_struct_0(A) )=> ~ v1_xboole_0(u1_struct_0(A)) ) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f54,axiom,(
% 4.04/0.89 (! [A,B,C] :( ( ~ v1_xboole_0(B)& m1_fraenkel(C,A,B) )=> (! [D] :( m2_fraenkel(D,A,B,C)<=> m1_subset_1(D,C) ) )) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f57,axiom,(
% 4.04/0.89 (! [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)) ) )) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f58,axiom,(
% 4.04/0.89 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f59,axiom,(
% 4.04/0.89 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 4.04/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.04/0.89 fof(f66,plain,(
% 4.04/0.89 (?[A]: (((((~v3_struct_0(A)&v1_group_1(A))&v3_group_1(A))&v4_group_1(A))&l1_group_1(A))&~r1_tarski(k4_autgroup(A),k1_autgroup(A))))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 4.04/0.89 fof(f67,plain,(
% 4.04/0.89 (((((~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))&~r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0)))),
% 4.04/0.89 inference(skolemization,[status(esa)],[f66])).
% 4.04/0.89 fof(f68,plain,(
% 4.04/0.89 ~v3_struct_0(sk0_0)),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f67])).
% 4.04/0.89 fof(f69,plain,(
% 4.04/0.89 v1_group_1(sk0_0)),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f67])).
% 4.04/0.89 fof(f70,plain,(
% 4.04/0.89 v3_group_1(sk0_0)),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f67])).
% 4.04/0.89 fof(f71,plain,(
% 4.04/0.89 v4_group_1(sk0_0)),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f67])).
% 4.04/0.89 fof(f72,plain,(
% 4.04/0.89 l1_group_1(sk0_0)),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f67])).
% 4.04/0.89 fof(f73,plain,(
% 4.04/0.89 ~r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f67])).
% 4.04/0.89 fof(f106,plain,(
% 4.04/0.89 ![A,B]: (r1_tarski(A,B)<=>(![C]: (~r2_hidden(C,A)|r2_hidden(C,B))))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 4.04/0.89 fof(f107,plain,(
% 4.04/0.89 ![A,B]: ((~r1_tarski(A,B)|(![C]: (~r2_hidden(C,A)|r2_hidden(C,B))))&(r1_tarski(A,B)|(?[C]: (r2_hidden(C,A)&~r2_hidden(C,B)))))),
% 4.04/0.89 inference(NNF_transformation,[status(esa)],[f106])).
% 4.04/0.89 fof(f108,plain,(
% 4.04/0.89 (![A,B]: (~r1_tarski(A,B)|(![C]: (~r2_hidden(C,A)|r2_hidden(C,B)))))&(![A,B]: (r1_tarski(A,B)|(?[C]: (r2_hidden(C,A)&~r2_hidden(C,B)))))),
% 4.04/0.89 inference(miniscoping,[status(esa)],[f107])).
% 4.04/0.89 fof(f109,plain,(
% 4.04/0.89 (![A,B]: (~r1_tarski(A,B)|(![C]: (~r2_hidden(C,A)|r2_hidden(C,B)))))&(![A,B]: (r1_tarski(A,B)|(r2_hidden(sk0_1(B,A),A)&~r2_hidden(sk0_1(B,A),B))))),
% 4.04/0.89 inference(skolemization,[status(esa)],[f108])).
% 4.04/0.89 fof(f111,plain,(
% 4.04/0.89 ![X0,X1]: (r1_tarski(X0,X1)|r2_hidden(sk0_1(X1,X0),X0))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f109])).
% 4.04/0.89 fof(f112,plain,(
% 4.04/0.89 ![X0,X1]: (r1_tarski(X0,X1)|~r2_hidden(sk0_1(X1,X0),X1))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f109])).
% 4.04/0.89 fof(f116,plain,(
% 4.04/0.89 ![A]: (((((v3_struct_0(A)|~v1_group_1(A))|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 4.04/0.89 fof(f117,plain,(
% 4.04/0.89 ![X0]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f116])).
% 4.04/0.89 fof(f118,plain,(
% 4.04/0.89 ![A]: (((((v3_struct_0(A)|~v1_group_1(A))|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 4.04/0.89 fof(f119,plain,(
% 4.04/0.89 ![X0]: (v3_struct_0(X0)|~v1_group_1(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f118])).
% 4.04/0.89 fof(f120,plain,(
% 4.04/0.89 ![A]: (~l1_group_1(A)|l1_struct_0(A))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 4.04/0.89 fof(f121,plain,(
% 4.04/0.89 ![X0]: (~l1_group_1(X0)|l1_struct_0(X0))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f120])).
% 4.04/0.89 fof(f122,plain,(
% 4.04/0.89 ![A,B,C]: (~m1_fraenkel(C,A,B)|(~v1_xboole_0(C)&v1_fraenkel(C)))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 4.04/0.89 fof(f123,plain,(
% 4.04/0.89 ![C]: ((![A,B]: ~m1_fraenkel(C,A,B))|(~v1_xboole_0(C)&v1_fraenkel(C)))),
% 4.04/0.89 inference(miniscoping,[status(esa)],[f122])).
% 4.04/0.89 fof(f124,plain,(
% 4.04/0.89 ![X0,X1,X2]: (~m1_fraenkel(X0,X1,X2)|~v1_xboole_0(X0))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f123])).
% 4.04/0.89 fof(f154,plain,(
% 4.04/0.89 ![A]: ((v3_struct_0(A)|~l1_struct_0(A))|~v1_xboole_0(u1_struct_0(A)))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 4.04/0.89 fof(f155,plain,(
% 4.04/0.89 ![X0]: (v3_struct_0(X0)|~l1_struct_0(X0)|~v1_xboole_0(u1_struct_0(X0)))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f154])).
% 4.04/0.89 fof(f213,plain,(
% 4.04/0.89 ![A,B,C]: ((v1_xboole_0(B)|~m1_fraenkel(C,A,B))|(![D]: (m2_fraenkel(D,A,B,C)<=>m1_subset_1(D,C))))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 4.04/0.89 fof(f214,plain,(
% 4.04/0.89 ![A,B,C]: ((v1_xboole_0(B)|~m1_fraenkel(C,A,B))|(![D]: ((~m2_fraenkel(D,A,B,C)|m1_subset_1(D,C))&(m2_fraenkel(D,A,B,C)|~m1_subset_1(D,C)))))),
% 4.04/0.89 inference(NNF_transformation,[status(esa)],[f213])).
% 4.04/0.89 fof(f215,plain,(
% 4.04/0.89 ![A,B,C]: ((v1_xboole_0(B)|~m1_fraenkel(C,A,B))|((![D]: (~m2_fraenkel(D,A,B,C)|m1_subset_1(D,C)))&(![D]: (m2_fraenkel(D,A,B,C)|~m1_subset_1(D,C)))))),
% 4.04/0.89 inference(miniscoping,[status(esa)],[f214])).
% 4.04/0.89 fof(f216,plain,(
% 4.04/0.89 ![X0,X1,X2,X3]: (v1_xboole_0(X0)|~m1_fraenkel(X1,X2,X0)|~m2_fraenkel(X3,X2,X0,X1)|m1_subset_1(X3,X1))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f215])).
% 4.04/0.89 fof(f217,plain,(
% 4.04/0.89 ![X0,X1,X2,X3]: (v1_xboole_0(X0)|~m1_fraenkel(X1,X2,X0)|m2_fraenkel(X3,X2,X0,X1)|~m1_subset_1(X3,X1))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f215])).
% 4.04/0.89 fof(f224,plain,(
% 4.04/0.89 ![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)))))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 4.04/0.89 fof(f225,plain,(
% 4.04/0.89 ![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)))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f224])).
% 4.04/0.89 fof(f226,plain,(
% 4.04/0.89 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 4.04/0.89 fof(f227,plain,(
% 4.04/0.89 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f226])).
% 4.04/0.89 fof(f228,plain,(
% 4.04/0.89 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 4.04/0.89 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 4.04/0.89 fof(f229,plain,(
% 4.04/0.89 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 4.04/0.89 inference(cnf_transformation,[status(esa)],[f228])).
% 4.04/0.89 fof(f250,plain,(
% 4.04/0.89 spl0_0 <=> v3_struct_0(sk0_0)),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f251,plain,(
% 4.04/0.89 v3_struct_0(sk0_0)|~spl0_0),
% 4.04/0.89 inference(component_clause,[status(thm)],[f250])).
% 4.04/0.89 fof(f253,plain,(
% 4.04/0.89 spl0_1 <=> v1_group_1(sk0_0)),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f255,plain,(
% 4.04/0.89 ~v1_group_1(sk0_0)|spl0_1),
% 4.04/0.89 inference(component_clause,[status(thm)],[f253])).
% 4.04/0.89 fof(f256,plain,(
% 4.04/0.89 spl0_2 <=> v3_group_1(sk0_0)),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f258,plain,(
% 4.04/0.89 ~v3_group_1(sk0_0)|spl0_2),
% 4.04/0.89 inference(component_clause,[status(thm)],[f256])).
% 4.04/0.89 fof(f259,plain,(
% 4.04/0.89 spl0_3 <=> v4_group_1(sk0_0)),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f261,plain,(
% 4.04/0.89 ~v4_group_1(sk0_0)|spl0_3),
% 4.04/0.89 inference(component_clause,[status(thm)],[f259])).
% 4.04/0.89 fof(f262,plain,(
% 4.04/0.89 spl0_4 <=> m1_fraenkel(k1_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f263,plain,(
% 4.04/0.89 m1_fraenkel(k1_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))|~spl0_4),
% 4.04/0.89 inference(component_clause,[status(thm)],[f262])).
% 4.04/0.89 fof(f265,plain,(
% 4.04/0.89 v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|m1_fraenkel(k1_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))),
% 4.04/0.89 inference(resolution,[status(thm)],[f117,f72])).
% 4.04/0.89 fof(f266,plain,(
% 4.04/0.89 spl0_0|~spl0_1|~spl0_2|~spl0_3|spl0_4),
% 4.04/0.89 inference(split_clause,[status(thm)],[f265,f250,f253,f256,f259,f262])).
% 4.04/0.89 fof(f267,plain,(
% 4.04/0.89 $false|spl0_3),
% 4.04/0.89 inference(forward_subsumption_resolution,[status(thm)],[f261,f71])).
% 4.04/0.89 fof(f268,plain,(
% 4.04/0.89 spl0_3),
% 4.04/0.89 inference(contradiction_clause,[status(thm)],[f267])).
% 4.04/0.89 fof(f269,plain,(
% 4.04/0.89 $false|spl0_2),
% 4.04/0.89 inference(forward_subsumption_resolution,[status(thm)],[f258,f70])).
% 4.04/0.89 fof(f270,plain,(
% 4.04/0.89 spl0_2),
% 4.04/0.89 inference(contradiction_clause,[status(thm)],[f269])).
% 4.04/0.89 fof(f271,plain,(
% 4.04/0.89 $false|spl0_1),
% 4.04/0.89 inference(forward_subsumption_resolution,[status(thm)],[f255,f69])).
% 4.04/0.89 fof(f272,plain,(
% 4.04/0.89 spl0_1),
% 4.04/0.89 inference(contradiction_clause,[status(thm)],[f271])).
% 4.04/0.89 fof(f273,plain,(
% 4.04/0.89 $false|~spl0_0),
% 4.04/0.89 inference(forward_subsumption_resolution,[status(thm)],[f251,f68])).
% 4.04/0.89 fof(f274,plain,(
% 4.04/0.89 ~spl0_0),
% 4.04/0.89 inference(contradiction_clause,[status(thm)],[f273])).
% 4.04/0.89 fof(f275,plain,(
% 4.04/0.89 spl0_5 <=> m1_fraenkel(k4_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f276,plain,(
% 4.04/0.89 m1_fraenkel(k4_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))|~spl0_5),
% 4.04/0.89 inference(component_clause,[status(thm)],[f275])).
% 4.04/0.89 fof(f278,plain,(
% 4.04/0.89 v3_struct_0(sk0_0)|~v1_group_1(sk0_0)|~v3_group_1(sk0_0)|~v4_group_1(sk0_0)|m1_fraenkel(k4_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))),
% 4.04/0.89 inference(resolution,[status(thm)],[f119,f72])).
% 4.04/0.89 fof(f279,plain,(
% 4.04/0.89 spl0_0|~spl0_1|~spl0_2|~spl0_3|spl0_5),
% 4.04/0.89 inference(split_clause,[status(thm)],[f278,f250,f253,f256,f259,f275])).
% 4.04/0.89 fof(f415,plain,(
% 4.04/0.89 l1_struct_0(sk0_0)),
% 4.04/0.89 inference(resolution,[status(thm)],[f121,f72])).
% 4.04/0.89 fof(f427,plain,(
% 4.04/0.89 ~v1_xboole_0(k1_autgroup(sk0_0))|~spl0_4),
% 4.04/0.89 inference(resolution,[status(thm)],[f124,f263])).
% 4.04/0.89 fof(f476,plain,(
% 4.04/0.89 ![X0,X1]: (r1_tarski(X0,X1)|m1_subset_1(sk0_1(X1,X0),X0))),
% 4.04/0.89 inference(resolution,[status(thm)],[f111,f227])).
% 4.04/0.89 fof(f1568,plain,(
% 4.04/0.89 spl0_148 <=> v1_xboole_0(u1_struct_0(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f1569,plain,(
% 4.04/0.89 v1_xboole_0(u1_struct_0(sk0_0))|~spl0_148),
% 4.04/0.89 inference(component_clause,[status(thm)],[f1568])).
% 4.04/0.89 fof(f1747,plain,(
% 4.04/0.89 spl0_188 <=> m2_fraenkel(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_0),k4_autgroup(sk0_0))|~m1_subset_1(X0,k4_autgroup(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f1748,plain,(
% 4.04/0.89 ![X0]: (m2_fraenkel(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_0),k4_autgroup(sk0_0))|~m1_subset_1(X0,k4_autgroup(sk0_0))|~spl0_188)),
% 4.04/0.89 inference(component_clause,[status(thm)],[f1747])).
% 4.04/0.89 fof(f1750,plain,(
% 4.04/0.89 ![X0]: (v1_xboole_0(u1_struct_0(sk0_0))|m2_fraenkel(X0,u1_struct_0(sk0_0),u1_struct_0(sk0_0),k4_autgroup(sk0_0))|~m1_subset_1(X0,k4_autgroup(sk0_0))|~spl0_5)),
% 4.04/0.89 inference(resolution,[status(thm)],[f217,f276])).
% 4.04/0.89 fof(f1751,plain,(
% 4.04/0.89 spl0_148|spl0_188|~spl0_5),
% 4.04/0.89 inference(split_clause,[status(thm)],[f1750,f1568,f1747,f275])).
% 4.04/0.89 fof(f1766,plain,(
% 4.04/0.89 ![X0]: (m2_fraenkel(sk0_1(X0,k4_autgroup(sk0_0)),u1_struct_0(sk0_0),u1_struct_0(sk0_0),k4_autgroup(sk0_0))|r1_tarski(k4_autgroup(sk0_0),X0)|~spl0_188)),
% 4.04/0.89 inference(resolution,[status(thm)],[f1748,f476])).
% 4.04/0.89 fof(f1820,plain,(
% 4.04/0.89 spl0_201 <=> r1_tarski(k4_autgroup(sk0_0),X0)|m2_fraenkel(sk0_1(X0,k4_autgroup(sk0_0)),u1_struct_0(sk0_0),u1_struct_0(sk0_0),k1_autgroup(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f1821,plain,(
% 4.04/0.89 ![X0]: (r1_tarski(k4_autgroup(sk0_0),X0)|m2_fraenkel(sk0_1(X0,k4_autgroup(sk0_0)),u1_struct_0(sk0_0),u1_struct_0(sk0_0),k1_autgroup(sk0_0))|~spl0_201)),
% 4.04/0.89 inference(component_clause,[status(thm)],[f1820])).
% 4.04/0.89 fof(f1823,plain,(
% 4.04/0.89 spl0_202 <=> l1_group_1(sk0_0)),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f1825,plain,(
% 4.04/0.89 ~l1_group_1(sk0_0)|spl0_202),
% 4.04/0.89 inference(component_clause,[status(thm)],[f1823])).
% 4.04/0.89 fof(f1826,plain,(
% 4.04/0.89 ![X0]: (r1_tarski(k4_autgroup(sk0_0),X0)|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(X0,k4_autgroup(sk0_0)),u1_struct_0(sk0_0),u1_struct_0(sk0_0),k1_autgroup(sk0_0))|~spl0_188)),
% 4.04/0.89 inference(resolution,[status(thm)],[f1766,f225])).
% 4.04/0.89 fof(f1827,plain,(
% 4.04/0.89 spl0_201|spl0_0|~spl0_1|~spl0_2|~spl0_3|~spl0_202|~spl0_188),
% 4.04/0.89 inference(split_clause,[status(thm)],[f1826,f1820,f250,f253,f256,f259,f1823,f1747])).
% 4.04/0.89 fof(f1848,plain,(
% 4.04/0.89 $false|spl0_202),
% 4.04/0.89 inference(forward_subsumption_resolution,[status(thm)],[f1825,f72])).
% 4.04/0.89 fof(f1849,plain,(
% 4.04/0.89 spl0_202),
% 4.04/0.89 inference(contradiction_clause,[status(thm)],[f1848])).
% 4.04/0.89 fof(f1975,plain,(
% 4.04/0.89 spl0_227 <=> r1_tarski(k4_autgroup(sk0_0),X0)|m1_subset_1(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f1976,plain,(
% 4.04/0.89 ![X0]: (r1_tarski(k4_autgroup(sk0_0),X0)|m1_subset_1(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))|~spl0_227)),
% 4.04/0.89 inference(component_clause,[status(thm)],[f1975])).
% 4.04/0.89 fof(f1978,plain,(
% 4.04/0.89 ![X0]: (r1_tarski(k4_autgroup(sk0_0),X0)|v1_xboole_0(u1_struct_0(sk0_0))|~m1_fraenkel(k1_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))|m1_subset_1(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))|~spl0_201)),
% 4.04/0.89 inference(resolution,[status(thm)],[f1821,f216])).
% 4.04/0.89 fof(f1979,plain,(
% 4.04/0.89 spl0_227|spl0_148|~spl0_4|~spl0_201),
% 4.04/0.89 inference(split_clause,[status(thm)],[f1978,f1975,f1568,f262,f1820])).
% 4.04/0.89 fof(f1986,plain,(
% 4.04/0.89 spl0_228 <=> r1_tarski(k4_autgroup(sk0_0),X0)|r2_hidden(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f1987,plain,(
% 4.04/0.89 ![X0]: (r1_tarski(k4_autgroup(sk0_0),X0)|r2_hidden(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))|~spl0_228)),
% 4.04/0.89 inference(component_clause,[status(thm)],[f1986])).
% 4.04/0.89 fof(f1989,plain,(
% 4.04/0.89 spl0_229 <=> v1_xboole_0(k1_autgroup(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f1990,plain,(
% 4.04/0.89 v1_xboole_0(k1_autgroup(sk0_0))|~spl0_229),
% 4.04/0.89 inference(component_clause,[status(thm)],[f1989])).
% 4.04/0.89 fof(f1992,plain,(
% 4.04/0.89 ![X0]: (r1_tarski(k4_autgroup(sk0_0),X0)|v1_xboole_0(k1_autgroup(sk0_0))|r2_hidden(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))|~spl0_227)),
% 4.04/0.89 inference(resolution,[status(thm)],[f1976,f229])).
% 4.04/0.89 fof(f1993,plain,(
% 4.04/0.89 spl0_228|spl0_229|~spl0_227),
% 4.04/0.89 inference(split_clause,[status(thm)],[f1992,f1986,f1989,f1975])).
% 4.04/0.89 fof(f2006,plain,(
% 4.04/0.89 spl0_232 <=> r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))),
% 4.04/0.89 introduced(split_symbol_definition)).
% 4.04/0.89 fof(f2007,plain,(
% 4.04/0.89 r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))|~spl0_232),
% 4.04/0.89 inference(component_clause,[status(thm)],[f2006])).
% 4.04/0.89 fof(f2009,plain,(
% 4.04/0.89 r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))|r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))|~spl0_228),
% 4.04/0.89 inference(resolution,[status(thm)],[f1987,f112])).
% 4.04/0.89 fof(f2010,plain,(
% 4.04/0.89 spl0_232|~spl0_228),
% 4.04/0.89 inference(split_clause,[status(thm)],[f2009,f2006,f1986])).
% 4.04/0.89 fof(f2023,plain,(
% 4.04/0.89 $false|~spl0_232),
% 4.20/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2007,f73])).
% 4.20/0.91 fof(f2024,plain,(
% 4.20/0.91 ~spl0_232),
% 4.20/0.91 inference(contradiction_clause,[status(thm)],[f2023])).
% 4.20/0.91 fof(f2208,plain,(
% 4.20/0.91 spl0_243 <=> l1_struct_0(sk0_0)),
% 4.20/0.91 introduced(split_symbol_definition)).
% 4.20/0.91 fof(f2210,plain,(
% 4.20/0.91 ~l1_struct_0(sk0_0)|spl0_243),
% 4.20/0.91 inference(component_clause,[status(thm)],[f2208])).
% 4.20/0.91 fof(f2211,plain,(
% 4.20/0.91 v3_struct_0(sk0_0)|~l1_struct_0(sk0_0)|~spl0_148),
% 4.20/0.91 inference(resolution,[status(thm)],[f155,f1569])).
% 4.20/0.91 fof(f2212,plain,(
% 4.20/0.91 spl0_0|~spl0_243|~spl0_148),
% 4.20/0.91 inference(split_clause,[status(thm)],[f2211,f250,f2208,f1568])).
% 4.20/0.91 fof(f2215,plain,(
% 4.20/0.91 $false|spl0_243),
% 4.20/0.91 inference(forward_subsumption_resolution,[status(thm)],[f2210,f415])).
% 4.20/0.91 fof(f2216,plain,(
% 4.20/0.91 spl0_243),
% 4.20/0.91 inference(contradiction_clause,[status(thm)],[f2215])).
% 4.20/0.91 fof(f2218,plain,(
% 4.20/0.91 $false|~spl0_4|~spl0_229),
% 4.20/0.91 inference(forward_subsumption_resolution,[status(thm)],[f1990,f427])).
% 4.20/0.91 fof(f2219,plain,(
% 4.20/0.91 ~spl0_4|~spl0_229),
% 4.20/0.91 inference(contradiction_clause,[status(thm)],[f2218])).
% 4.20/0.91 fof(f2220,plain,(
% 4.20/0.91 $false),
% 4.20/0.91 inference(sat_refutation,[status(thm)],[f266,f268,f270,f272,f274,f279,f1751,f1827,f1849,f1979,f1993,f2010,f2024,f2212,f2216,f2219])).
% 4.20/0.91 % SZS output end CNFRefutation for theBenchmark.p
% 4.20/0.91 % Elapsed time: 0.596620 seconds
% 4.20/0.91 % CPU time: 4.281733 seconds
% 4.20/0.91 % Memory used: 69.260 MB
%------------------------------------------------------------------------------