%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP637+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:36:59 PM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP637+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n009.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 20 20:23:42 UTC 2026
% 0.17/0.45 % 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] :( ( ~ v3_struct_0(B)& v3_group_1(B)& v4_group_1(B)& l1_group_1(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& v1_group_6(C,A,B)& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> (! [D] :( m1_group_2(D,A)=> (! [E] :( m1_group_2(E,A)=> (! [F] :( m1_group_2(F,B)=> (! [G] :( m1_group_2(G,B)=> ( ( u1_struct_0(F) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D))& u1_struct_0(G) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E))& m1_group_6(D,A,E) )=> m1_group_6(F,B,G) ) ) )) )) )) )) )) )) )),
% 0.17/0.51 file('/export/starexec/sandbox2/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] :( ( ~ v3_struct_0(B)& v3_group_1(B)& v4_group_1(B)& l1_group_1(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& v1_group_6(C,A,B)& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> (! [D] :( m1_group_2(D,A)=> (! [E] :( m1_group_2(E,A)=> (! [F] :( m1_group_2(F,B)=> (! [G] :( m1_group_2(G,B)=> ( ( u1_struct_0(F) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D))& u1_struct_0(G) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E))& m1_group_6(D,A,E) )=> m1_group_6(F,B,G) ) ) )) )) )) )) )) )) ))),
% 0.17/0.51 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.51 fof(f5,axiom,(
% 0.17/0.51 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> v1_relat_1(C) ) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f8,axiom,(
% 0.17/0.51 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& l1_group_1(A) )=> (! [B] :( ( ~ v3_struct_0(B)& v3_group_1(B)& l1_group_1(B) )=> ( m1_group_2(B,A)<=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A))& u1_group_1(B) = k1_realset1(u1_group_1(A),u1_struct_0(B)) ) ) ) )) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f17,axiom,(
% 0.17/0.51 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> ( ~ v3_struct_0(B)& v3_group_1(B)& l1_group_1(B) ) ) )) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f21,axiom,(
% 0.17/0.51 (! [A,B,C] :( m2_relset_1(C,A,B)=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f43,axiom,(
% 0.17/0.51 (! [A,B,C,D] :( ( v1_funct_1(C)& v1_funct_2(C,A,B)& m1_relset_1(C,A,B) )=> k2_funct_2(A,B,C,D) = k9_relat_1(C,D) ) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f44,axiom,(
% 0.17/0.51 (! [A,B] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A)& m1_group_2(B,A) )=> (! [C] :( m1_group_6(C,A,B)<=> m1_group_2(C,B) ) )) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f45,axiom,(
% 0.17/0.51 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f47,axiom,(
% 0.17/0.51 (! [A,B,C] :( v1_relat_1(C)=> ( r1_tarski(A,B)=> r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) ) ) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f53,axiom,(
% 0.17/0.51 (! [A] :( ( ~ v3_struct_0(A)& v3_group_1(A)& v4_group_1(A)& l1_group_1(A) )=> (! [B] :( m1_group_2(B,A)=> (! [C] :( m1_group_2(C,A)=> ( r1_tarski(u1_struct_0(B),u1_struct_0(C))=> m1_group_2(B,C) ) ) )) )) )),
% 0.17/0.51 file('/export/starexec/sandbox2/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]: ((((~v3_struct_0(B)&v3_group_1(B))&v4_group_1(B))&l1_group_1(B))&(?[C]: ((((v1_funct_1(C)&v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))&v1_group_6(C,A,B))&m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))&(?[D]: (m1_group_2(D,A)&(?[E]: (m1_group_2(E,A)&(?[F]: (m1_group_2(F,B)&(?[G]: (m1_group_2(G,B)&(((u1_struct_0(F)=k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D))&u1_struct_0(G)=k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E)))&m1_group_6(D,A,E))&~m1_group_6(F,B,G))))))))))))))))),
% 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))&((((~v3_struct_0(sK1_skl)&v3_group_1(sK1_skl))&v4_group_1(sK1_skl))&l1_group_1(sK1_skl))&((((v1_funct_1(sK2_skl)&v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)))&v1_group_6(sK2_skl,sK0_skl,sK1_skl))&m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)))&(m1_group_2(sK3_skl,sK0_skl)&(m1_group_2(sK4_skl,sK0_skl)&(m1_group_2(sK5_skl,sK1_skl)&(m1_group_2(sK6_skl,sK1_skl)&(((u1_struct_0(sK5_skl)=k2_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,u1_struct_0(sK3_skl))&u1_struct_0(sK6_skl)=k2_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,u1_struct_0(sK4_skl)))&m1_group_6(sK3_skl,sK0_skl,sK4_skl))&~m1_group_6(sK5_skl,sK1_skl,sK6_skl)))))))))),
% 0.17/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl),skolemize(E,sK4_skl),skolemize(F,sK5_skl),skolemize(G,sK6_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 ~v3_struct_0(sK1_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f64,plain,(
% 0.17/0.51 v3_group_1(sK1_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f65,plain,(
% 0.17/0.51 v4_group_1(sK1_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f66,plain,(
% 0.17/0.51 l1_group_1(sK1_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f67,plain,(
% 0.17/0.51 v1_funct_1(sK2_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f68,plain,(
% 0.17/0.51 v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f70,plain,(
% 0.17/0.51 m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f71,plain,(
% 0.17/0.51 m1_group_2(sK3_skl,sK0_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f72,plain,(
% 0.17/0.51 m1_group_2(sK4_skl,sK0_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f73,plain,(
% 0.17/0.51 m1_group_2(sK5_skl,sK1_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f74,plain,(
% 0.17/0.51 m1_group_2(sK6_skl,sK1_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f75,plain,(
% 0.17/0.51 u1_struct_0(sK5_skl)=k2_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,u1_struct_0(sK3_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f76,plain,(
% 0.17/0.51 u1_struct_0(sK6_skl)=k2_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,u1_struct_0(sK4_skl))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f77,plain,(
% 0.17/0.51 m1_group_6(sK3_skl,sK0_skl,sK4_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f78,plain,(
% 0.17/0.51 ~m1_group_6(sK5_skl,sK1_skl,sK6_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/0.51 fof(f84,plain,(
% 0.17/0.51 ![A,B,C]: (~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.17/0.51 fof(f85,plain,(
% 0.17/0.51 ![C]: ((![A,B]: ~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))|v1_relat_1(C))),
% 0.17/0.51 inference(miniscoping,[status(thm)],[f84])).
% 0.17/0.51 fof(f86,plain,(
% 0.17/0.51 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|v1_relat_1(X0))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f85])).
% 0.17/0.51 fof(f97,plain,(
% 0.17/0.51 ![A]: (((v3_struct_0(A)|~v3_group_1(A))|~l1_group_1(A))|(![B]: (((v3_struct_0(B)|~v3_group_1(B))|~l1_group_1(B))|(m1_group_2(B,A)<=>(r1_tarski(u1_struct_0(B),u1_struct_0(A))&u1_group_1(B)=k1_realset1(u1_group_1(A),u1_struct_0(B)))))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.17/0.51 fof(f98,plain,(
% 0.17/0.51 ![A]: (((v3_struct_0(A)|~v3_group_1(A))|~l1_group_1(A))|(![B]: (((v3_struct_0(B)|~v3_group_1(B))|~l1_group_1(B))|((~m1_group_2(B,A)|(r1_tarski(u1_struct_0(B),u1_struct_0(A))&u1_group_1(B)=k1_realset1(u1_group_1(A),u1_struct_0(B))))&(m1_group_2(B,A)|(~r1_tarski(u1_struct_0(B),u1_struct_0(A))|~u1_group_1(B)=k1_realset1(u1_group_1(A),u1_struct_0(B))))))))),
% 0.17/0.51 inference(NNF_transformation,[status(thm)],[f97])).
% 0.17/0.51 fof(f99,plain,(
% 0.17/0.51 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|v3_struct_0(X1)|~v3_group_1(X1)|~l1_group_1(X1)|~m1_group_2(X1,X0)|r1_tarski(u1_struct_0(X1),u1_struct_0(X0)))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f98])).
% 0.17/0.51 fof(f107,plain,(
% 0.17/0.51 ![A]: (((v3_struct_0(A)|~v3_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|((~v3_struct_0(B)&v3_group_1(B))&l1_group_1(B)))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.17/0.51 fof(f108,plain,(
% 0.17/0.51 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~v3_struct_0(X1))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f107])).
% 0.17/0.51 fof(f109,plain,(
% 0.17/0.51 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v3_group_1(X1))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f107])).
% 0.17/0.51 fof(f110,plain,(
% 0.17/0.51 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|l1_group_1(X1))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f107])).
% 0.17/0.51 fof(f113,plain,(
% 0.17/0.51 ![A,B,C]: (~m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.17/0.51 fof(f114,plain,(
% 0.17/0.51 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f113])).
% 0.17/0.51 fof(f168,plain,(
% 0.17/0.51 ![A,B,C,D]: (((~v1_funct_1(C)|~v1_funct_2(C,A,B))|~m1_relset_1(C,A,B))|k2_funct_2(A,B,C,D)=k9_relat_1(C,D))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.17/0.51 fof(f169,plain,(
% 0.17/0.51 ![A,B,C]: (((~v1_funct_1(C)|~v1_funct_2(C,A,B))|~m1_relset_1(C,A,B))|(![D]: k2_funct_2(A,B,C,D)=k9_relat_1(C,D)))),
% 0.17/0.51 inference(miniscoping,[status(thm)],[f168])).
% 0.17/0.51 fof(f170,plain,(
% 0.17/0.51 ![X0,X1,X2,X3]: (~v1_funct_1(X0)|~v1_funct_2(X0,X1,X2)|~m1_relset_1(X0,X1,X2)|k2_funct_2(X1,X2,X0,X3)=k9_relat_1(X0,X3))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f169])).
% 0.17/0.51 fof(f171,plain,(
% 0.17/0.51 ![A,B]: (((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_group_2(B,A))|(![C]: (m1_group_6(C,A,B)<=>m1_group_2(C,B))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.17/0.51 fof(f172,plain,(
% 0.17/0.51 ![A,B]: (((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_group_2(B,A))|(![C]: ((~m1_group_6(C,A,B)|m1_group_2(C,B))&(m1_group_6(C,A,B)|~m1_group_2(C,B)))))),
% 0.17/0.51 inference(NNF_transformation,[status(thm)],[f171])).
% 0.17/0.51 fof(f173,plain,(
% 0.17/0.51 ![A,B]: (((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|~m1_group_2(B,A))|((![C]: (~m1_group_6(C,A,B)|m1_group_2(C,B)))&(![C]: (m1_group_6(C,A,B)|~m1_group_2(C,B)))))),
% 0.17/0.51 inference(miniscoping,[status(thm)],[f172])).
% 0.17/0.51 fof(f174,plain,(
% 0.17/0.51 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~m1_group_6(X2,X0,X1)|m1_group_2(X2,X1))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f173])).
% 0.17/0.51 fof(f175,plain,(
% 0.17/0.51 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|m1_group_6(X2,X0,X1)|~m1_group_2(X2,X1))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f173])).
% 0.17/0.51 fof(f176,plain,(
% 0.17/0.51 ![A,B,C]: ((~m2_relset_1(C,A,B)|m1_relset_1(C,A,B))&(m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 0.17/0.51 inference(NNF_transformation,[status(thm)],[f45])).
% 0.17/0.51 fof(f177,plain,(
% 0.17/0.51 (![A,B,C]: (~m2_relset_1(C,A,B)|m1_relset_1(C,A,B)))&(![A,B,C]: (m2_relset_1(C,A,B)|~m1_relset_1(C,A,B)))),
% 0.17/0.51 inference(miniscoping,[status(thm)],[f176])).
% 0.17/0.51 fof(f178,plain,(
% 0.17/0.51 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f177])).
% 0.17/0.51 fof(f182,plain,(
% 0.17/0.51 ![A,B,C]: (~v1_relat_1(C)|(~r1_tarski(A,B)|r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.17/0.51 fof(f183,plain,(
% 0.17/0.51 ![C]: (~v1_relat_1(C)|(![A,B]: (~r1_tarski(A,B)|r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)))))),
% 0.17/0.51 inference(miniscoping,[status(thm)],[f182])).
% 0.17/0.51 fof(f184,plain,(
% 0.17/0.51 ![X0,X1,X2]: (~v1_relat_1(X0)|~r1_tarski(X1,X2)|r1_tarski(k9_relat_1(X0,X1),k9_relat_1(X0,X2)))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f183])).
% 0.17/0.51 fof(f199,plain,(
% 0.17/0.51 ![A]: ((((v3_struct_0(A)|~v3_group_1(A))|~v4_group_1(A))|~l1_group_1(A))|(![B]: (~m1_group_2(B,A)|(![C]: (~m1_group_2(C,A)|(~r1_tarski(u1_struct_0(B),u1_struct_0(C))|m1_group_2(B,C)))))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.17/0.51 fof(f200,plain,(
% 0.17/0.51 ![X0,X1,X2]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~m1_group_2(X2,X0)|~r1_tarski(u1_struct_0(X1),u1_struct_0(X2))|m1_group_2(X1,X2))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f199])).
% 0.17/0.51 fof(f210,plain,(
% 0.17/0.51 ![X0]: (v3_struct_0(sK0_skl)|~l1_group_1(sK0_skl)|~m1_group_2(X0,sK0_skl)|v3_group_1(X0))),
% 0.17/0.51 inference(resolution,[status(thm)],[f109,f60])).
% 0.17/0.51 fof(f211,definition,(
% 0.17/0.51 sQ0_spl <=> (v3_struct_0(sK1_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f212,plain,(
% 0.17/0.51 v3_struct_0(sK1_skl)|~sQ0_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f211])).
% 0.17/0.51 fof(f214,definition,(
% 0.17/0.51 sQ1_spl <=> (l1_group_1(sK1_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f216,plain,(
% 0.17/0.51 ~l1_group_1(sK1_skl)|sQ1_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f214])).
% 0.17/0.51 fof(f221,definition,(
% 0.17/0.51 sQ3_spl <=> (v3_struct_0(sK0_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f222,plain,(
% 0.17/0.51 v3_struct_0(sK0_skl)|~sQ3_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f221])).
% 0.17/0.51 fof(f224,definition,(
% 0.17/0.51 sQ4_spl <=> (l1_group_1(sK0_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f226,plain,(
% 0.17/0.51 ~l1_group_1(sK0_skl)|sQ4_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f224])).
% 0.17/0.51 fof(f227,definition,(
% 0.17/0.51 ![X0]: (sQ5_spl <=> (~m1_group_2(X0,sK0_skl)|v3_group_1(X0)))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f228,plain,(
% 0.17/0.51 ![X0]: (~m1_group_2(X0,sK0_skl)|v3_group_1(X0)|~sQ5_spl)),
% 0.17/0.51 inference(component_clause,[status(thm)],[f227])).
% 0.17/0.51 fof(f230,plain,(
% 0.17/0.51 sQ3_spl|~sQ4_spl|sQ5_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f210,f221,f224,f227])).
% 0.17/0.51 fof(f231,plain,(
% 0.17/0.51 $false|sQ4_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f226,f62])).
% 0.17/0.51 fof(f232,plain,(
% 0.17/0.51 sQ4_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f231])).
% 0.17/0.51 fof(f233,plain,(
% 0.17/0.51 $false|~sQ3_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f222,f59])).
% 0.17/0.51 fof(f234,plain,(
% 0.17/0.51 ~sQ3_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f233])).
% 0.17/0.51 fof(f236,plain,(
% 0.17/0.51 ![X0]: (v3_struct_0(sK0_skl)|~l1_group_1(sK0_skl)|~m1_group_2(X0,sK0_skl)|l1_group_1(X0))),
% 0.17/0.51 inference(resolution,[status(thm)],[f110,f60])).
% 0.17/0.51 fof(f241,definition,(
% 0.17/0.51 ![X0]: (sQ7_spl <=> (~m1_group_2(X0,sK0_skl)|l1_group_1(X0)))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f242,plain,(
% 0.17/0.51 ![X0]: (~m1_group_2(X0,sK0_skl)|l1_group_1(X0)|~sQ7_spl)),
% 0.17/0.51 inference(component_clause,[status(thm)],[f241])).
% 0.17/0.51 fof(f244,plain,(
% 0.17/0.51 sQ3_spl|~sQ4_spl|sQ7_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f236,f221,f224,f241])).
% 0.17/0.51 fof(f245,plain,(
% 0.17/0.51 $false|sQ1_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f216,f66])).
% 0.17/0.51 fof(f246,plain,(
% 0.17/0.51 sQ1_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f245])).
% 0.17/0.51 fof(f247,plain,(
% 0.17/0.51 $false|~sQ0_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f212,f63])).
% 0.17/0.51 fof(f248,plain,(
% 0.17/0.51 ~sQ0_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f247])).
% 0.17/0.51 fof(f250,definition,(
% 0.17/0.51 sQ8_spl <=> (v3_group_1(sK0_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f252,plain,(
% 0.17/0.51 ~v3_group_1(sK0_skl)|sQ8_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f250])).
% 0.17/0.51 fof(f253,definition,(
% 0.17/0.51 sQ9_spl <=> (v4_group_1(sK0_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f255,plain,(
% 0.17/0.51 ~v4_group_1(sK0_skl)|sQ9_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f253])).
% 0.17/0.51 fof(f256,definition,(
% 0.17/0.51 sQ10_spl <=> (m1_group_2(sK4_skl,sK0_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f258,plain,(
% 0.17/0.51 ~m1_group_2(sK4_skl,sK0_skl)|sQ10_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f256])).
% 0.17/0.51 fof(f263,plain,(
% 0.17/0.51 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~v3_group_1(X1)|~l1_group_1(X1)|~m1_group_2(X1,X0)|r1_tarski(u1_struct_0(X1),u1_struct_0(X0)))),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f99,f108])).
% 0.17/0.51 fof(f266,plain,(
% 0.17/0.51 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|v1_relat_1(X0))),
% 0.17/0.51 inference(resolution,[status(thm)],[f114,f86])).
% 0.17/0.51 fof(f278,plain,(
% 0.17/0.51 v3_group_1(sK4_skl)|~sQ5_spl),
% 0.17/0.51 inference(resolution,[status(thm)],[f228,f72])).
% 0.17/0.51 fof(f279,plain,(
% 0.17/0.51 v3_group_1(sK3_skl)|~sQ5_spl),
% 0.17/0.51 inference(resolution,[status(thm)],[f228,f71])).
% 0.17/0.51 fof(f280,plain,(
% 0.17/0.51 l1_group_1(sK4_skl)|~sQ7_spl),
% 0.17/0.51 inference(resolution,[status(thm)],[f242,f72])).
% 0.17/0.51 fof(f281,plain,(
% 0.17/0.51 l1_group_1(sK3_skl)|~sQ7_spl),
% 0.17/0.51 inference(resolution,[status(thm)],[f242,f71])).
% 0.17/0.51 fof(f282,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)|~m1_group_2(sK4_skl,sK0_skl)|m1_group_2(sK3_skl,sK4_skl)),
% 0.17/0.51 inference(resolution,[status(thm)],[f174,f77])).
% 0.17/0.51 fof(f283,definition,(
% 0.17/0.51 sQ14_spl <=> (m1_group_2(sK3_skl,sK4_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f286,plain,(
% 0.17/0.51 sQ3_spl|~sQ8_spl|~sQ9_spl|~sQ4_spl|~sQ10_spl|sQ14_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f282,f221,f250,f253,f224,f256,f283])).
% 0.17/0.51 fof(f287,plain,(
% 0.17/0.51 $false|sQ10_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f258,f72])).
% 0.17/0.51 fof(f288,plain,(
% 0.17/0.51 sQ10_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f287])).
% 0.17/0.51 fof(f289,plain,(
% 0.17/0.51 $false|sQ9_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f255,f61])).
% 0.17/0.51 fof(f290,plain,(
% 0.17/0.51 sQ9_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f289])).
% 0.17/0.51 fof(f291,plain,(
% 0.17/0.51 $false|sQ8_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f252,f60])).
% 0.17/0.51 fof(f292,plain,(
% 0.17/0.51 sQ8_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f291])).
% 0.17/0.51 fof(f293,plain,(
% 0.17/0.51 ![X0,X1]: (v3_struct_0(sK1_skl)|~v4_group_1(sK1_skl)|~l1_group_1(sK1_skl)|~m1_group_2(X0,sK1_skl)|m1_group_6(X1,sK1_skl,X0)|~m1_group_2(X1,X0))),
% 0.17/0.51 inference(resolution,[status(thm)],[f175,f64])).
% 0.17/0.51 fof(f295,definition,(
% 0.17/0.51 sQ15_spl <=> (v4_group_1(sK1_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f297,plain,(
% 0.17/0.51 ~v4_group_1(sK1_skl)|sQ15_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f295])).
% 0.17/0.51 fof(f298,definition,(
% 0.17/0.51 ![X0,X1]: (sQ16_spl <=> (~m1_group_2(X0,sK1_skl)|m1_group_6(X1,sK1_skl,X0)|~m1_group_2(X1,X0)))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f299,plain,(
% 0.17/0.51 ![X0,X1]: (~m1_group_2(X0,sK1_skl)|m1_group_6(X1,sK1_skl,X0)|~m1_group_2(X1,X0)|~sQ16_spl)),
% 0.17/0.51 inference(component_clause,[status(thm)],[f298])).
% 0.17/0.51 fof(f301,plain,(
% 0.17/0.51 sQ0_spl|~sQ15_spl|~sQ1_spl|sQ16_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f293,f211,f295,f214,f298])).
% 0.17/0.51 fof(f306,plain,(
% 0.17/0.51 $false|sQ15_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f297,f65])).
% 0.17/0.51 fof(f307,plain,(
% 0.17/0.51 sQ15_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f306])).
% 0.17/0.51 fof(f308,plain,(
% 0.17/0.51 m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))),
% 0.17/0.51 inference(resolution,[status(thm)],[f178,f70])).
% 0.17/0.51 fof(f328,definition,(
% 0.17/0.51 sQ20_spl <=> (v3_struct_0(sK4_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f329,plain,(
% 0.17/0.51 v3_struct_0(sK4_skl)|~sQ20_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f328])).
% 0.17/0.51 fof(f334,definition,(
% 0.17/0.51 sQ22_spl <=> (l1_group_1(sK4_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f336,plain,(
% 0.17/0.51 ~l1_group_1(sK4_skl)|sQ22_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f334])).
% 0.17/0.51 fof(f370,definition,(
% 0.17/0.51 sQ30_spl <=> (v3_group_1(sK1_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f372,plain,(
% 0.17/0.51 ~v3_group_1(sK1_skl)|sQ30_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f370])).
% 0.17/0.51 fof(f381,plain,(
% 0.17/0.51 $false|sQ30_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f372,f64])).
% 0.17/0.51 fof(f382,plain,(
% 0.17/0.51 sQ30_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f381])).
% 0.17/0.51 fof(f391,definition,(
% 0.17/0.51 sQ34_spl <=> (l1_group_1(sK3_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f393,plain,(
% 0.17/0.51 ~l1_group_1(sK3_skl)|sQ34_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f391])).
% 0.17/0.51 fof(f425,plain,(
% 0.17/0.51 ![X0]: (~v1_funct_1(sK2_skl)|~v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|k2_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,X0)=k9_relat_1(sK2_skl,X0))),
% 0.17/0.51 inference(resolution,[status(thm)],[f308,f170])).
% 0.17/0.51 fof(f429,definition,(
% 0.17/0.51 sQ41_spl <=> (v1_funct_1(sK2_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f431,plain,(
% 0.17/0.51 ~v1_funct_1(sK2_skl)|sQ41_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f429])).
% 0.17/0.51 fof(f432,definition,(
% 0.17/0.51 sQ42_spl <=> (v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f434,plain,(
% 0.17/0.51 ~v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|sQ42_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f432])).
% 0.17/0.51 fof(f435,definition,(
% 0.17/0.51 ![X0]: (sQ43_spl <=> (k2_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,X0)=k9_relat_1(sK2_skl,X0)))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f436,plain,(
% 0.17/0.51 ![X0]: (k2_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,X0)=k9_relat_1(sK2_skl,X0)|~sQ43_spl)),
% 0.17/0.51 inference(component_clause,[status(thm)],[f435])).
% 0.17/0.51 fof(f438,plain,(
% 0.17/0.51 ~sQ41_spl|~sQ42_spl|sQ43_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f425,f429,f432,f435])).
% 0.17/0.51 fof(f450,plain,(
% 0.17/0.51 $false|sQ42_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f434,f68])).
% 0.17/0.51 fof(f451,plain,(
% 0.17/0.51 sQ42_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f450])).
% 0.17/0.51 fof(f452,plain,(
% 0.17/0.51 $false|sQ41_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f431,f67])).
% 0.17/0.51 fof(f453,plain,(
% 0.17/0.51 sQ41_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f452])).
% 0.17/0.51 fof(f524,plain,(
% 0.17/0.51 ![X0]: (m1_group_6(X0,sK1_skl,sK6_skl)|~m1_group_2(X0,sK6_skl)|~sQ16_spl)),
% 0.17/0.51 inference(resolution,[status(thm)],[f299,f74])).
% 0.17/0.51 fof(f528,plain,(
% 0.17/0.51 $false|~sQ7_spl|sQ22_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f336,f280])).
% 0.17/0.51 fof(f529,plain,(
% 0.17/0.51 ~sQ7_spl|sQ22_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f528])).
% 0.17/0.51 fof(f538,plain,(
% 0.17/0.51 $false|~sQ7_spl|sQ34_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f393,f281])).
% 0.17/0.51 fof(f539,plain,(
% 0.17/0.51 ~sQ7_spl|sQ34_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f538])).
% 0.17/0.51 fof(f543,plain,(
% 0.17/0.51 u1_struct_0(sK6_skl)=k9_relat_1(sK2_skl,u1_struct_0(sK4_skl))|~sQ43_spl),
% 0.17/0.51 inference(backward_demodulation,[status(thm)],[f436,f76])).
% 0.17/0.51 fof(f544,plain,(
% 0.17/0.51 u1_struct_0(sK5_skl)=k9_relat_1(sK2_skl,u1_struct_0(sK3_skl))|~sQ43_spl),
% 0.17/0.51 inference(backward_demodulation,[status(thm)],[f436,f75])).
% 0.17/0.51 fof(f560,plain,(
% 0.17/0.51 ![X0]: (~v1_relat_1(sK2_skl)|~r1_tarski(X0,u1_struct_0(sK4_skl))|r1_tarski(k9_relat_1(sK2_skl,X0),u1_struct_0(sK6_skl))|~sQ43_spl)),
% 0.17/0.51 inference(paramodulation,[status(thm)],[f543,f184])).
% 0.17/0.51 fof(f562,definition,(
% 0.17/0.51 sQ68_spl <=> (v1_relat_1(sK2_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f564,plain,(
% 0.17/0.51 ~v1_relat_1(sK2_skl)|sQ68_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f562])).
% 0.17/0.51 fof(f565,definition,(
% 0.17/0.51 ![X0]: (sQ69_spl <=> (~r1_tarski(X0,u1_struct_0(sK4_skl))|r1_tarski(k9_relat_1(sK2_skl,X0),u1_struct_0(sK6_skl))))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f566,plain,(
% 0.17/0.51 ![X0]: (~r1_tarski(X0,u1_struct_0(sK4_skl))|r1_tarski(k9_relat_1(sK2_skl,X0),u1_struct_0(sK6_skl))|~sQ69_spl)),
% 0.17/0.51 inference(component_clause,[status(thm)],[f565])).
% 0.17/0.51 fof(f568,plain,(
% 0.17/0.51 ~sQ68_spl|sQ69_spl|~sQ43_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f560,f562,f565,f435])).
% 0.17/0.51 fof(f587,plain,(
% 0.17/0.51 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sK4_skl,X0)|~sQ20_spl)),
% 0.17/0.51 inference(resolution,[status(thm)],[f329,f108])).
% 0.17/0.51 fof(f618,plain,(
% 0.17/0.51 v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~sQ20_spl),
% 0.17/0.51 inference(resolution,[status(thm)],[f587,f72])).
% 0.17/0.51 fof(f619,plain,(
% 0.17/0.51 sQ3_spl|~sQ8_spl|~sQ4_spl|~sQ20_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f618,f221,f250,f224,f328])).
% 0.17/0.51 fof(f634,definition,(
% 0.17/0.51 sQ77_spl <=> (v3_group_1(sK4_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f636,plain,(
% 0.17/0.51 ~v3_group_1(sK4_skl)|sQ77_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f634])).
% 0.17/0.51 fof(f712,definition,(
% 0.17/0.51 sQ83_spl <=> (m1_group_2(sK6_skl,sK1_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f714,plain,(
% 0.17/0.51 ~m1_group_2(sK6_skl,sK1_skl)|sQ83_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f712])).
% 0.17/0.51 fof(f724,plain,(
% 0.17/0.51 v1_relat_1(sK2_skl)),
% 0.17/0.51 inference(resolution,[status(thm)],[f266,f70])).
% 0.17/0.51 fof(f725,plain,(
% 0.17/0.51 $false|sQ68_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f724,f564])).
% 0.17/0.51 fof(f726,plain,(
% 0.17/0.51 sQ68_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f725])).
% 0.17/0.51 fof(f727,plain,(
% 0.17/0.51 ~r1_tarski(u1_struct_0(sK3_skl),u1_struct_0(sK4_skl))|r1_tarski(u1_struct_0(sK5_skl),u1_struct_0(sK6_skl))|~sQ69_spl|~sQ43_spl),
% 0.17/0.51 inference(paramodulation,[status(thm)],[f544,f566])).
% 0.17/0.51 fof(f729,definition,(
% 0.17/0.51 sQ84_spl <=> (r1_tarski(u1_struct_0(sK3_skl),u1_struct_0(sK4_skl)))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f731,plain,(
% 0.17/0.51 ~r1_tarski(u1_struct_0(sK3_skl),u1_struct_0(sK4_skl))|sQ84_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f729])).
% 0.17/0.51 fof(f732,definition,(
% 0.17/0.51 sQ85_spl <=> (r1_tarski(u1_struct_0(sK5_skl),u1_struct_0(sK6_skl)))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f733,plain,(
% 0.17/0.51 r1_tarski(u1_struct_0(sK5_skl),u1_struct_0(sK6_skl))|~sQ85_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f732])).
% 0.17/0.51 fof(f735,plain,(
% 0.17/0.51 ~sQ84_spl|sQ85_spl|~sQ69_spl|~sQ43_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f727,f729,f732,f565,f435])).
% 0.17/0.51 fof(f767,plain,(
% 0.17/0.51 v3_struct_0(sK4_skl)|~v3_group_1(sK4_skl)|~l1_group_1(sK4_skl)|~v3_group_1(sK3_skl)|~l1_group_1(sK3_skl)|~m1_group_2(sK3_skl,sK4_skl)|sQ84_spl),
% 0.17/0.51 inference(resolution,[status(thm)],[f731,f263])).
% 0.17/0.51 fof(f768,definition,(
% 0.17/0.51 sQ92_spl <=> (v3_group_1(sK3_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f770,plain,(
% 0.17/0.51 ~v3_group_1(sK3_skl)|sQ92_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f768])).
% 0.17/0.51 fof(f771,plain,(
% 0.17/0.51 sQ20_spl|~sQ77_spl|~sQ22_spl|~sQ92_spl|~sQ34_spl|~sQ14_spl|sQ84_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f767,f328,f634,f334,f768,f391,f283,f729])).
% 0.17/0.51 fof(f772,plain,(
% 0.17/0.51 $false|~sQ5_spl|sQ77_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f636,f278])).
% 0.17/0.51 fof(f773,plain,(
% 0.17/0.51 ~sQ5_spl|sQ77_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f772])).
% 0.17/0.51 fof(f774,plain,(
% 0.17/0.51 $false|~sQ5_spl|sQ92_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f770,f279])).
% 0.17/0.51 fof(f775,plain,(
% 0.17/0.51 ~sQ5_spl|sQ92_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f774])).
% 0.17/0.51 fof(f785,plain,(
% 0.17/0.51 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sK5_skl,X0)|~m1_group_2(sK6_skl,X0)|m1_group_2(sK5_skl,sK6_skl)|~sQ85_spl)),
% 0.17/0.51 inference(resolution,[status(thm)],[f733,f200])).
% 0.17/0.51 fof(f786,definition,(
% 0.17/0.51 ![X0]: (sQ94_spl <=> (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sK5_skl,X0)|~m1_group_2(sK6_skl,X0)))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f787,plain,(
% 0.17/0.51 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~v4_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sK5_skl,X0)|~m1_group_2(sK6_skl,X0)|~sQ94_spl)),
% 0.17/0.52 inference(component_clause,[status(thm)],[f786])).
% 0.17/0.52 fof(f789,definition,(
% 0.17/0.52 sQ95_spl <=> (m1_group_2(sK5_skl,sK6_skl))),
% 0.17/0.52 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.17/0.52 fof(f790,plain,(
% 0.17/0.52 m1_group_2(sK5_skl,sK6_skl)|~sQ95_spl),
% 0.17/0.52 inference(component_clause,[status(thm)],[f789])).
% 0.17/0.52 fof(f792,plain,(
% 0.17/0.52 sQ94_spl|sQ95_spl|~sQ85_spl),
% 0.17/0.52 inference(split_clause,[status(thm)],[f785,f786,f789,f732])).
% 0.17/0.52 fof(f803,plain,(
% 0.17/0.52 v3_struct_0(sK1_skl)|~v3_group_1(sK1_skl)|~v4_group_1(sK1_skl)|~l1_group_1(sK1_skl)|~m1_group_2(sK6_skl,sK1_skl)|~sQ94_spl),
% 0.17/0.52 inference(resolution,[status(thm)],[f787,f73])).
% 0.17/0.52 fof(f804,plain,(
% 0.17/0.52 sQ0_spl|~sQ30_spl|~sQ15_spl|~sQ1_spl|~sQ83_spl|~sQ94_spl),
% 0.17/0.52 inference(split_clause,[status(thm)],[f803,f211,f370,f295,f214,f712,f786])).
% 0.17/0.52 fof(f805,plain,(
% 0.17/0.52 $false|sQ83_spl),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f714,f74])).
% 0.17/0.52 fof(f806,plain,(
% 0.17/0.52 sQ83_spl),
% 0.17/0.52 inference(contradiction_clause,[status(thm)],[f805])).
% 0.17/0.52 fof(f846,plain,(
% 0.17/0.52 m1_group_6(sK5_skl,sK1_skl,sK6_skl)|~sQ95_spl|~sQ16_spl),
% 0.17/0.52 inference(resolution,[status(thm)],[f790,f524])).
% 0.17/0.52 fof(f849,plain,(
% 0.17/0.52 $false|~sQ95_spl|~sQ16_spl),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f846,f78])).
% 0.17/0.52 fof(f850,plain,(
% 0.17/0.52 ~sQ95_spl|~sQ16_spl),
% 0.17/0.52 inference(contradiction_clause,[status(thm)],[f849])).
% 0.17/0.52 fof(f851,plain,(
% 0.17/0.52 $false),
% 0.17/0.52 inference(sat_refutation,[status(thm)],[f230,f232,f234,f244,f246,f248,f286,f288,f290,f292,f301,f307,f382,f438,f451,f453,f529,f539,f568,f619,f726,f735,f771,f773,f775,f792,f804,f806,f850])).
% 0.17/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.56 % Elapsed time: 0.098358 seconds
% 0.17/0.56 % CPU time: 0.317225 seconds
% 0.17/0.56 % Total memory used: 55.775 MB
% 0.17/0.56 % Net memory used: 55.652 MB
%------------------------------------------------------------------------------