TSTP Solution File: GRP623+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n007.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 20:21:07 EDT 2024
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP623+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:19:17 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.44 % Refutation found
% 0.19/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.44 fof(f1,conjecture,(
% 0.19/0.44 (! [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)) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f2,negated_conjecture,(
% 0.19/0.44 ~((! [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)) ) ))),
% 0.19/0.44 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.44 fof(f13,axiom,(
% 0.19/0.44 (! [A,B] :( r1_tarski(A,B)<=> (! [C] :( r2_hidden(C,A)=> r2_hidden(C,B) ) )) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f15,axiom,(
% 0.19/0.44 (! [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)) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f19,axiom,(
% 0.19/0.44 (! [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)) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f20,axiom,(
% 0.19/0.44 (! [A] :( l1_group_1(A)=> l1_struct_0(A) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f22,axiom,(
% 0.19/0.44 (! [A,B,C] :( m1_fraenkel(C,A,B)=> ( ~ v1_xboole_0(C)& v1_fraenkel(C) ) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f37,axiom,(
% 0.19/0.44 (! [A] :( ( ~ v3_struct_0(A)& l1_struct_0(A) )=> ~ v1_xboole_0(u1_struct_0(A)) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f54,axiom,(
% 0.19/0.44 (! [A,B,C] :( ( ~ v1_xboole_0(B)& m1_fraenkel(C,A,B) )=> (! [D] :( m2_fraenkel(D,A,B,C)<=> m1_subset_1(D,C) ) )) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f57,axiom,(
% 0.19/0.44 (! [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)) ) )) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f58,axiom,(
% 0.19/0.44 (! [A,B] :( r2_hidden(A,B)=> m1_subset_1(A,B) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f59,axiom,(
% 0.19/0.44 (! [A,B] :( m1_subset_1(A,B)=> ( v1_xboole_0(B)| r2_hidden(A,B) ) ) )),
% 0.19/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.44 fof(f66,plain,(
% 0.19/0.44 (?[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))))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.19/0.44 fof(f67,plain,(
% 0.19/0.44 (((((~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)))),
% 0.19/0.44 inference(skolemization,[status(esa)],[f66])).
% 0.19/0.44 fof(f68,plain,(
% 0.19/0.44 ~v3_struct_0(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f67])).
% 0.19/0.44 fof(f69,plain,(
% 0.19/0.44 v1_group_1(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f67])).
% 0.19/0.44 fof(f70,plain,(
% 0.19/0.44 v3_group_1(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f67])).
% 0.19/0.44 fof(f71,plain,(
% 0.19/0.44 v4_group_1(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f67])).
% 0.19/0.44 fof(f72,plain,(
% 0.19/0.44 l1_group_1(sk0_0)),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f67])).
% 0.19/0.44 fof(f73,plain,(
% 0.19/0.44 ~r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))),
% 0.19/0.44 inference(cnf_transformation,[status(esa)],[f67])).
% 0.19/0.44 fof(f106,plain,(
% 0.19/0.44 ![A,B]: (r1_tarski(A,B)<=>(![C]: (~r2_hidden(C,A)|r2_hidden(C,B))))),
% 0.19/0.44 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.19/0.44 fof(f107,plain,(
% 0.19/0.44 ![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)))))),
% 0.19/0.44 inference(NNF_transformation,[status(esa)],[f106])).
% 0.19/0.44 fof(f108,plain,(
% 0.19/0.44 (![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)))))),
% 0.19/0.44 inference(miniscoping,[status(esa)],[f107])).
% 0.19/0.44 fof(f109,plain,(
% 0.19/0.44 (![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))))),
% 0.19/0.45 inference(skolemization,[status(esa)],[f108])).
% 0.19/0.45 fof(f111,plain,(
% 0.19/0.45 ![X0,X1]: (r1_tarski(X0,X1)|r2_hidden(sk0_1(X1,X0),X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f109])).
% 0.19/0.45 fof(f112,plain,(
% 0.19/0.45 ![X0,X1]: (r1_tarski(X0,X1)|~r2_hidden(sk0_1(X1,X0),X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f109])).
% 0.19/0.45 fof(f116,plain,(
% 0.19/0.45 ![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)))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.19/0.45 fof(f117,plain,(
% 0.19/0.45 ![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)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f116])).
% 0.19/0.45 fof(f118,plain,(
% 0.19/0.45 ![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)))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.19/0.45 fof(f119,plain,(
% 0.19/0.45 ![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)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f118])).
% 0.19/0.45 fof(f120,plain,(
% 0.19/0.45 ![A]: (~l1_group_1(A)|l1_struct_0(A))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.19/0.45 fof(f121,plain,(
% 0.19/0.45 ![X0]: (~l1_group_1(X0)|l1_struct_0(X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f120])).
% 0.19/0.45 fof(f122,plain,(
% 0.19/0.45 ![A,B,C]: (~m1_fraenkel(C,A,B)|(~v1_xboole_0(C)&v1_fraenkel(C)))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.19/0.45 fof(f123,plain,(
% 0.19/0.45 ![C]: ((![A,B]: ~m1_fraenkel(C,A,B))|(~v1_xboole_0(C)&v1_fraenkel(C)))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f122])).
% 0.19/0.45 fof(f124,plain,(
% 0.19/0.45 ![X0,X1,X2]: (~m1_fraenkel(X0,X1,X2)|~v1_xboole_0(X0))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f123])).
% 0.19/0.45 fof(f154,plain,(
% 0.19/0.45 ![A]: ((v3_struct_0(A)|~l1_struct_0(A))|~v1_xboole_0(u1_struct_0(A)))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.19/0.45 fof(f155,plain,(
% 0.19/0.45 ![X0]: (v3_struct_0(X0)|~l1_struct_0(X0)|~v1_xboole_0(u1_struct_0(X0)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f154])).
% 0.19/0.45 fof(f213,plain,(
% 0.19/0.45 ![A,B,C]: ((v1_xboole_0(B)|~m1_fraenkel(C,A,B))|(![D]: (m2_fraenkel(D,A,B,C)<=>m1_subset_1(D,C))))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.19/0.45 fof(f214,plain,(
% 0.19/0.45 ![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)))))),
% 0.19/0.45 inference(NNF_transformation,[status(esa)],[f213])).
% 0.19/0.45 fof(f215,plain,(
% 0.19/0.45 ![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)))))),
% 0.19/0.45 inference(miniscoping,[status(esa)],[f214])).
% 0.19/0.45 fof(f216,plain,(
% 0.19/0.45 ![X0,X1,X2,X3]: (v1_xboole_0(X0)|~m1_fraenkel(X1,X2,X0)|~m2_fraenkel(X3,X2,X0,X1)|m1_subset_1(X3,X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f215])).
% 0.19/0.45 fof(f217,plain,(
% 0.19/0.45 ![X0,X1,X2,X3]: (v1_xboole_0(X0)|~m1_fraenkel(X1,X2,X0)|m2_fraenkel(X3,X2,X0,X1)|~m1_subset_1(X3,X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f215])).
% 0.19/0.45 fof(f224,plain,(
% 0.19/0.45 ![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)))))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.19/0.45 fof(f225,plain,(
% 0.19/0.45 ![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)))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f224])).
% 0.19/0.45 fof(f226,plain,(
% 0.19/0.45 ![A,B]: (~r2_hidden(A,B)|m1_subset_1(A,B))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.19/0.45 fof(f227,plain,(
% 0.19/0.45 ![X0,X1]: (~r2_hidden(X0,X1)|m1_subset_1(X0,X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f226])).
% 0.19/0.45 fof(f228,plain,(
% 0.19/0.45 ![A,B]: (~m1_subset_1(A,B)|(v1_xboole_0(B)|r2_hidden(A,B)))),
% 0.19/0.45 inference(pre_NNF_transformation,[status(esa)],[f59])).
% 0.19/0.45 fof(f229,plain,(
% 0.19/0.45 ![X0,X1]: (~m1_subset_1(X0,X1)|v1_xboole_0(X1)|r2_hidden(X0,X1))),
% 0.19/0.45 inference(cnf_transformation,[status(esa)],[f228])).
% 0.19/0.45 fof(f248,plain,(
% 0.19/0.45 spl0_0 <=> v3_struct_0(sk0_0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f249,plain,(
% 0.19/0.45 v3_struct_0(sk0_0)|~spl0_0),
% 0.19/0.45 inference(component_clause,[status(thm)],[f248])).
% 0.19/0.45 fof(f251,plain,(
% 0.19/0.45 spl0_1 <=> v1_group_1(sk0_0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f253,plain,(
% 0.19/0.45 ~v1_group_1(sk0_0)|spl0_1),
% 0.19/0.45 inference(component_clause,[status(thm)],[f251])).
% 0.19/0.45 fof(f254,plain,(
% 0.19/0.45 spl0_2 <=> v3_group_1(sk0_0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f256,plain,(
% 0.19/0.45 ~v3_group_1(sk0_0)|spl0_2),
% 0.19/0.45 inference(component_clause,[status(thm)],[f254])).
% 0.19/0.45 fof(f257,plain,(
% 0.19/0.45 spl0_3 <=> v4_group_1(sk0_0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f259,plain,(
% 0.19/0.45 ~v4_group_1(sk0_0)|spl0_3),
% 0.19/0.45 inference(component_clause,[status(thm)],[f257])).
% 0.19/0.45 fof(f260,plain,(
% 0.19/0.45 spl0_4 <=> m1_fraenkel(k1_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f261,plain,(
% 0.19/0.45 m1_fraenkel(k1_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))|~spl0_4),
% 0.19/0.45 inference(component_clause,[status(thm)],[f260])).
% 0.19/0.45 fof(f263,plain,(
% 0.19/0.45 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))),
% 0.19/0.45 inference(resolution,[status(thm)],[f117,f72])).
% 0.19/0.45 fof(f264,plain,(
% 0.19/0.45 spl0_0|~spl0_1|~spl0_2|~spl0_3|spl0_4),
% 0.19/0.45 inference(split_clause,[status(thm)],[f263,f248,f251,f254,f257,f260])).
% 0.19/0.45 fof(f265,plain,(
% 0.19/0.45 $false|spl0_3),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f259,f71])).
% 0.19/0.45 fof(f266,plain,(
% 0.19/0.45 spl0_3),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f265])).
% 0.19/0.45 fof(f267,plain,(
% 0.19/0.45 $false|spl0_2),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f256,f70])).
% 0.19/0.45 fof(f268,plain,(
% 0.19/0.45 spl0_2),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f267])).
% 0.19/0.45 fof(f269,plain,(
% 0.19/0.45 $false|spl0_1),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f253,f69])).
% 0.19/0.45 fof(f270,plain,(
% 0.19/0.45 spl0_1),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f269])).
% 0.19/0.45 fof(f271,plain,(
% 0.19/0.45 $false|~spl0_0),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f249,f68])).
% 0.19/0.45 fof(f272,plain,(
% 0.19/0.45 ~spl0_0),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f271])).
% 0.19/0.45 fof(f273,plain,(
% 0.19/0.45 spl0_5 <=> m1_fraenkel(k4_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f274,plain,(
% 0.19/0.45 m1_fraenkel(k4_autgroup(sk0_0),u1_struct_0(sk0_0),u1_struct_0(sk0_0))|~spl0_5),
% 0.19/0.45 inference(component_clause,[status(thm)],[f273])).
% 0.19/0.45 fof(f276,plain,(
% 0.19/0.45 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))),
% 0.19/0.45 inference(resolution,[status(thm)],[f119,f72])).
% 0.19/0.45 fof(f277,plain,(
% 0.19/0.45 spl0_0|~spl0_1|~spl0_2|~spl0_3|spl0_5),
% 0.19/0.45 inference(split_clause,[status(thm)],[f276,f248,f251,f254,f257,f273])).
% 0.19/0.45 fof(f410,plain,(
% 0.19/0.45 l1_struct_0(sk0_0)),
% 0.19/0.45 inference(resolution,[status(thm)],[f121,f72])).
% 0.19/0.45 fof(f419,plain,(
% 0.19/0.45 ~v1_xboole_0(k1_autgroup(sk0_0))|~spl0_4),
% 0.19/0.45 inference(resolution,[status(thm)],[f124,f261])).
% 0.19/0.45 fof(f426,plain,(
% 0.19/0.45 ![X0,X1]: (r1_tarski(X0,X1)|m1_subset_1(sk0_1(X1,X0),X0))),
% 0.19/0.45 inference(resolution,[status(thm)],[f111,f227])).
% 0.19/0.45 fof(f559,plain,(
% 0.19/0.45 spl0_42 <=> v1_xboole_0(u1_struct_0(sk0_0))),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f560,plain,(
% 0.19/0.45 v1_xboole_0(u1_struct_0(sk0_0))|~spl0_42),
% 0.19/0.45 inference(component_clause,[status(thm)],[f559])).
% 0.19/0.45 fof(f562,plain,(
% 0.19/0.45 spl0_43 <=> 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))),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f563,plain,(
% 0.19/0.45 ![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_43)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f562])).
% 0.19/0.45 fof(f565,plain,(
% 0.19/0.45 ![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)),
% 0.19/0.45 inference(resolution,[status(thm)],[f217,f274])).
% 0.19/0.45 fof(f566,plain,(
% 0.19/0.45 spl0_42|spl0_43|~spl0_5),
% 0.19/0.45 inference(split_clause,[status(thm)],[f565,f559,f562,f273])).
% 0.19/0.45 fof(f586,plain,(
% 0.19/0.45 spl0_47 <=> l1_struct_0(sk0_0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f588,plain,(
% 0.19/0.45 ~l1_struct_0(sk0_0)|spl0_47),
% 0.19/0.45 inference(component_clause,[status(thm)],[f586])).
% 0.19/0.45 fof(f589,plain,(
% 0.19/0.45 v3_struct_0(sk0_0)|~l1_struct_0(sk0_0)|~spl0_42),
% 0.19/0.45 inference(resolution,[status(thm)],[f560,f155])).
% 0.19/0.45 fof(f590,plain,(
% 0.19/0.45 spl0_0|~spl0_47|~spl0_42),
% 0.19/0.45 inference(split_clause,[status(thm)],[f589,f248,f586,f559])).
% 0.19/0.45 fof(f593,plain,(
% 0.19/0.45 $false|spl0_47),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f588,f410])).
% 0.19/0.45 fof(f594,plain,(
% 0.19/0.45 spl0_47),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f593])).
% 0.19/0.45 fof(f664,plain,(
% 0.19/0.45 ![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_43)),
% 0.19/0.45 inference(resolution,[status(thm)],[f563,f426])).
% 0.19/0.45 fof(f666,plain,(
% 0.19/0.45 spl0_58 <=> l1_group_1(sk0_0)),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f668,plain,(
% 0.19/0.45 ~l1_group_1(sk0_0)|spl0_58),
% 0.19/0.45 inference(component_clause,[status(thm)],[f666])).
% 0.19/0.45 fof(f679,plain,(
% 0.19/0.45 $false|spl0_58),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f668,f72])).
% 0.19/0.45 fof(f680,plain,(
% 0.19/0.45 spl0_58),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f679])).
% 0.19/0.45 fof(f686,plain,(
% 0.19/0.45 spl0_62 <=> v1_xboole_0(k1_autgroup(sk0_0))),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f687,plain,(
% 0.19/0.45 v1_xboole_0(k1_autgroup(sk0_0))|~spl0_62),
% 0.19/0.45 inference(component_clause,[status(thm)],[f686])).
% 0.19/0.45 fof(f709,plain,(
% 0.19/0.45 $false|~spl0_4|~spl0_62),
% 0.19/0.45 inference(forward_subsumption_resolution,[status(thm)],[f687,f419])).
% 0.19/0.45 fof(f710,plain,(
% 0.19/0.45 ~spl0_4|~spl0_62),
% 0.19/0.45 inference(contradiction_clause,[status(thm)],[f709])).
% 0.19/0.45 fof(f740,plain,(
% 0.19/0.45 spl0_71 <=> 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))),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f741,plain,(
% 0.19/0.45 ![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_71)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f740])).
% 0.19/0.45 fof(f743,plain,(
% 0.19/0.45 ![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_43)),
% 0.19/0.45 inference(resolution,[status(thm)],[f664,f225])).
% 0.19/0.45 fof(f744,plain,(
% 0.19/0.45 spl0_71|spl0_0|~spl0_1|~spl0_2|~spl0_3|~spl0_58|~spl0_43),
% 0.19/0.45 inference(split_clause,[status(thm)],[f743,f740,f248,f251,f254,f257,f666,f562])).
% 0.19/0.45 fof(f783,plain,(
% 0.19/0.45 spl0_79 <=> r1_tarski(k4_autgroup(sk0_0),X0)|m1_subset_1(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f784,plain,(
% 0.19/0.45 ![X0]: (r1_tarski(k4_autgroup(sk0_0),X0)|m1_subset_1(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))|~spl0_79)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f783])).
% 0.19/0.45 fof(f786,plain,(
% 0.19/0.45 ![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_71)),
% 0.19/0.45 inference(resolution,[status(thm)],[f741,f216])).
% 0.19/0.45 fof(f787,plain,(
% 0.19/0.45 spl0_79|spl0_42|~spl0_4|~spl0_71),
% 0.19/0.45 inference(split_clause,[status(thm)],[f786,f783,f559,f260,f740])).
% 0.19/0.45 fof(f788,plain,(
% 0.19/0.45 spl0_80 <=> r1_tarski(k4_autgroup(sk0_0),X0)|r2_hidden(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))),
% 0.19/0.45 introduced(split_symbol_definition)).
% 0.19/0.45 fof(f789,plain,(
% 0.19/0.45 ![X0]: (r1_tarski(k4_autgroup(sk0_0),X0)|r2_hidden(sk0_1(X0,k4_autgroup(sk0_0)),k1_autgroup(sk0_0))|~spl0_80)),
% 0.19/0.45 inference(component_clause,[status(thm)],[f788])).
% 0.19/0.45 fof(f791,plain,(
% 0.19/0.45 ![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_79)),
% 0.19/0.47 inference(resolution,[status(thm)],[f784,f229])).
% 0.19/0.47 fof(f792,plain,(
% 0.19/0.47 spl0_80|spl0_62|~spl0_79),
% 0.19/0.47 inference(split_clause,[status(thm)],[f791,f788,f686,f783])).
% 0.19/0.47 fof(f803,plain,(
% 0.19/0.47 spl0_83 <=> r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))),
% 0.19/0.47 introduced(split_symbol_definition)).
% 0.19/0.47 fof(f804,plain,(
% 0.19/0.47 r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))|~spl0_83),
% 0.19/0.47 inference(component_clause,[status(thm)],[f803])).
% 0.19/0.47 fof(f806,plain,(
% 0.19/0.47 r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))|r1_tarski(k4_autgroup(sk0_0),k1_autgroup(sk0_0))|~spl0_80),
% 0.19/0.47 inference(resolution,[status(thm)],[f789,f112])).
% 0.19/0.47 fof(f807,plain,(
% 0.19/0.47 spl0_83|~spl0_80),
% 0.19/0.47 inference(split_clause,[status(thm)],[f806,f803,f788])).
% 0.19/0.47 fof(f810,plain,(
% 0.19/0.47 $false|~spl0_83),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f804,f73])).
% 0.19/0.47 fof(f811,plain,(
% 0.19/0.47 ~spl0_83),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f810])).
% 0.19/0.47 fof(f812,plain,(
% 0.19/0.47 $false),
% 0.19/0.47 inference(sat_refutation,[status(thm)],[f264,f266,f268,f270,f272,f277,f566,f590,f594,f680,f710,f744,f787,f792,f807,f811])).
% 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.48 % Elapsed time: 0.120818 seconds
% 0.19/0.48 % CPU time: 0.789343 seconds
% 0.19/0.48 % Total memory used: 59.091 MB
% 0.19/0.48 % Net memory used: 58.809 MB
%------------------------------------------------------------------------------