%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP638+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 5.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP638+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n003.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 20 20:25:35 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.17/5.41 % Drodi V4.1.1
% 0.17/5.48 % Refutation found
% 0.17/5.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/5.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.48 fof(f1,conjecture,(
% 0.17/5.48 (! [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,B)=> (! [E] :( m1_group_2(E,B)=> (! [F] :( m1_group_2(F,A)=> (! [G] :( m1_group_2(G,A)=> ( ( u1_struct_0(F) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D))& u1_struct_0(G) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E))& m1_group_6(D,B,E) )=> m1_group_6(F,A,G) ) ) )) )) )) )) )) )) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f2,negated_conjecture,(
% 0.17/5.48 ~((! [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,B)=> (! [E] :( m1_group_2(E,B)=> (! [F] :( m1_group_2(F,A)=> (! [G] :( m1_group_2(G,A)=> ( ( u1_struct_0(F) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D))& u1_struct_0(G) = k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E))& m1_group_6(D,B,E) )=> m1_group_6(F,A,G) ) ) )) )) )) )) )) )) ))),
% 0.17/5.48 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/5.48 fof(f5,axiom,(
% 0.17/5.48 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> v1_relat_1(C) ) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f8,axiom,(
% 0.17/5.48 (! [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)) ) ) ) )) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f17,axiom,(
% 0.17/5.48 (! [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) ) ) )) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f21,axiom,(
% 0.17/5.48 (! [A,B,C] :( m2_relset_1(C,A,B)=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f43,axiom,(
% 0.17/5.48 (! [A,B,C,D] :( ( v1_funct_1(C)& m1_relset_1(C,A,B) )=> k3_funct_2(A,B,C,D) = k10_relat_1(C,D) ) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f44,axiom,(
% 0.17/5.48 (! [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) ) )) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f45,axiom,(
% 0.17/5.48 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f47,axiom,(
% 0.17/5.48 (! [A,B,C] :( v1_relat_1(C)=> ( r1_tarski(A,B)=> r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B)) ) ) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f53,axiom,(
% 0.17/5.48 (! [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) ) ) )) )) )),
% 0.17/5.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f57,plain,(
% 0.17/5.48 (?[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,B)&(?[E]: (m1_group_2(E,B)&(?[F]: (m1_group_2(F,A)&(?[G]: (m1_group_2(G,A)&(((u1_struct_0(F)=k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D))&u1_struct_0(G)=k3_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E)))&m1_group_6(D,B,E))&~m1_group_6(F,A,G))))))))))))))))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.17/5.48 fof(f58,plain,(
% 0.17/5.48 ((((~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,sK1_skl)&(m1_group_2(sK4_skl,sK1_skl)&(m1_group_2(sK5_skl,sK0_skl)&(m1_group_2(sK6_skl,sK0_skl)&(((u1_struct_0(sK5_skl)=k3_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,u1_struct_0(sK3_skl))&u1_struct_0(sK6_skl)=k3_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,u1_struct_0(sK4_skl)))&m1_group_6(sK3_skl,sK1_skl,sK4_skl))&~m1_group_6(sK5_skl,sK0_skl,sK6_skl)))))))))),
% 0.17/5.48 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])).
% 0.17/5.48 fof(f59,plain,(
% 0.17/5.48 ~v3_struct_0(sK0_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f60,plain,(
% 0.17/5.48 v3_group_1(sK0_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f61,plain,(
% 0.17/5.48 v4_group_1(sK0_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f62,plain,(
% 0.17/5.48 l1_group_1(sK0_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f63,plain,(
% 0.17/5.48 ~v3_struct_0(sK1_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f64,plain,(
% 0.17/5.48 v3_group_1(sK1_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f65,plain,(
% 0.17/5.48 v4_group_1(sK1_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f66,plain,(
% 0.17/5.48 l1_group_1(sK1_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f67,plain,(
% 0.17/5.48 v1_funct_1(sK2_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f70,plain,(
% 0.17/5.48 m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f71,plain,(
% 0.17/5.48 m1_group_2(sK3_skl,sK1_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f72,plain,(
% 0.17/5.48 m1_group_2(sK4_skl,sK1_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f73,plain,(
% 0.17/5.48 m1_group_2(sK5_skl,sK0_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f74,plain,(
% 0.17/5.48 m1_group_2(sK6_skl,sK0_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f75,plain,(
% 0.17/5.48 u1_struct_0(sK5_skl)=k3_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,u1_struct_0(sK3_skl))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f76,plain,(
% 0.17/5.48 u1_struct_0(sK6_skl)=k3_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,u1_struct_0(sK4_skl))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f77,plain,(
% 0.17/5.48 m1_group_6(sK3_skl,sK1_skl,sK4_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f78,plain,(
% 0.17/5.48 ~m1_group_6(sK5_skl,sK0_skl,sK6_skl)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f58])).
% 0.17/5.48 fof(f84,plain,(
% 0.17/5.48 ![A,B,C]: (~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.17/5.48 fof(f85,plain,(
% 0.17/5.48 ![C]: ((![A,B]: ~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))|v1_relat_1(C))),
% 0.17/5.48 inference(miniscoping,[status(thm)],[f84])).
% 0.17/5.48 fof(f86,plain,(
% 0.17/5.48 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|v1_relat_1(X0))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f85])).
% 0.17/5.48 fof(f97,plain,(
% 0.17/5.48 ![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)))))))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.17/5.48 fof(f98,plain,(
% 0.17/5.48 ![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))))))))),
% 0.17/5.48 inference(NNF_transformation,[status(thm)],[f97])).
% 0.17/5.48 fof(f99,plain,(
% 0.17/5.48 ![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)))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f98])).
% 0.17/5.48 fof(f107,plain,(
% 0.17/5.48 ![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)))))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.17/5.48 fof(f108,plain,(
% 0.17/5.48 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|~v3_struct_0(X1))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f107])).
% 0.17/5.48 fof(f109,plain,(
% 0.17/5.48 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|v3_group_1(X1))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f107])).
% 0.17/5.48 fof(f110,plain,(
% 0.17/5.48 ![X0,X1]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(X1,X0)|l1_group_1(X1))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f107])).
% 0.17/5.48 fof(f113,plain,(
% 0.17/5.48 ![A,B,C]: (~m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.17/5.48 fof(f114,plain,(
% 0.17/5.48 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f113])).
% 0.17/5.48 fof(f168,plain,(
% 0.17/5.48 ![A,B,C,D]: ((~v1_funct_1(C)|~m1_relset_1(C,A,B))|k3_funct_2(A,B,C,D)=k10_relat_1(C,D))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.17/5.48 fof(f169,plain,(
% 0.17/5.48 ![A,B,C]: ((~v1_funct_1(C)|~m1_relset_1(C,A,B))|(![D]: k3_funct_2(A,B,C,D)=k10_relat_1(C,D)))),
% 0.17/5.48 inference(miniscoping,[status(thm)],[f168])).
% 0.17/5.48 fof(f170,plain,(
% 0.17/5.48 ![X0,X1,X2,X3]: (~v1_funct_1(X0)|~m1_relset_1(X0,X1,X2)|k3_funct_2(X1,X2,X0,X3)=k10_relat_1(X0,X3))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f169])).
% 0.17/5.48 fof(f171,plain,(
% 0.17/5.48 ![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))))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.17/5.48 fof(f172,plain,(
% 0.17/5.48 ![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)))))),
% 0.17/5.48 inference(NNF_transformation,[status(thm)],[f171])).
% 0.17/5.48 fof(f173,plain,(
% 0.17/5.48 ![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)))))),
% 0.17/5.48 inference(miniscoping,[status(thm)],[f172])).
% 0.17/5.48 fof(f174,plain,(
% 0.17/5.48 ![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))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f173])).
% 0.17/5.48 fof(f175,plain,(
% 0.17/5.48 ![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))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f173])).
% 0.17/5.48 fof(f176,plain,(
% 0.17/5.48 ![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)))),
% 0.17/5.48 inference(NNF_transformation,[status(thm)],[f45])).
% 0.17/5.48 fof(f177,plain,(
% 0.17/5.48 (![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)))),
% 0.17/5.48 inference(miniscoping,[status(thm)],[f176])).
% 0.17/5.48 fof(f178,plain,(
% 0.17/5.48 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f177])).
% 0.17/5.48 fof(f182,plain,(
% 0.17/5.48 ![A,B,C]: (~v1_relat_1(C)|(~r1_tarski(A,B)|r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B))))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.17/5.48 fof(f183,plain,(
% 0.17/5.48 ![C]: (~v1_relat_1(C)|(![A,B]: (~r1_tarski(A,B)|r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B)))))),
% 0.17/5.48 inference(miniscoping,[status(thm)],[f182])).
% 0.17/5.48 fof(f184,plain,(
% 0.17/5.48 ![X0,X1,X2]: (~v1_relat_1(X0)|~r1_tarski(X1,X2)|r1_tarski(k10_relat_1(X0,X1),k10_relat_1(X0,X2)))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f183])).
% 0.17/5.48 fof(f199,plain,(
% 0.17/5.48 ![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)))))))),
% 0.17/5.48 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.17/5.48 fof(f200,plain,(
% 0.17/5.48 ![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))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f199])).
% 0.17/5.48 fof(f209,plain,(
% 0.17/5.48 ![X0]: (v3_struct_0(sK1_skl)|~l1_group_1(sK1_skl)|~m1_group_2(X0,sK1_skl)|v3_group_1(X0))),
% 0.17/5.48 inference(resolution,[status(thm)],[f109,f64])).
% 0.17/5.48 fof(f211,definition,(
% 0.17/5.48 sQ0_spl <=> (v3_struct_0(sK1_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f212,plain,(
% 0.17/5.48 v3_struct_0(sK1_skl)|~sQ0_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f211])).
% 0.17/5.48 fof(f214,definition,(
% 0.17/5.48 sQ1_spl <=> (l1_group_1(sK1_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f216,plain,(
% 0.17/5.48 ~l1_group_1(sK1_skl)|sQ1_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f214])).
% 0.17/5.48 fof(f217,definition,(
% 0.17/5.48 ![X0]: (sQ2_spl <=> (~m1_group_2(X0,sK1_skl)|v3_group_1(X0)))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f218,plain,(
% 0.17/5.48 ![X0]: (~m1_group_2(X0,sK1_skl)|v3_group_1(X0)|~sQ2_spl)),
% 0.17/5.48 inference(component_clause,[status(thm)],[f217])).
% 0.17/5.48 fof(f220,plain,(
% 0.17/5.48 sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f209,f211,f214,f217])).
% 0.17/5.48 fof(f221,definition,(
% 0.17/5.48 sQ3_spl <=> (v3_struct_0(sK0_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f222,plain,(
% 0.17/5.48 v3_struct_0(sK0_skl)|~sQ3_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f221])).
% 0.17/5.48 fof(f224,definition,(
% 0.17/5.48 sQ4_spl <=> (l1_group_1(sK0_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f226,plain,(
% 0.17/5.48 ~l1_group_1(sK0_skl)|sQ4_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f224])).
% 0.17/5.48 fof(f231,plain,(
% 0.17/5.48 $false|sQ4_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f226,f62])).
% 0.17/5.48 fof(f232,plain,(
% 0.17/5.48 sQ4_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f231])).
% 0.17/5.48 fof(f233,plain,(
% 0.17/5.48 $false|~sQ3_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f222,f59])).
% 0.17/5.48 fof(f234,plain,(
% 0.17/5.48 ~sQ3_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f233])).
% 0.17/5.48 fof(f235,plain,(
% 0.17/5.48 ![X0]: (v3_struct_0(sK1_skl)|~l1_group_1(sK1_skl)|~m1_group_2(X0,sK1_skl)|l1_group_1(X0))),
% 0.17/5.48 inference(resolution,[status(thm)],[f110,f64])).
% 0.17/5.48 fof(f237,definition,(
% 0.17/5.48 ![X0]: (sQ6_spl <=> (~m1_group_2(X0,sK1_skl)|l1_group_1(X0)))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f238,plain,(
% 0.17/5.48 ![X0]: (~m1_group_2(X0,sK1_skl)|l1_group_1(X0)|~sQ6_spl)),
% 0.17/5.48 inference(component_clause,[status(thm)],[f237])).
% 0.17/5.48 fof(f240,plain,(
% 0.17/5.48 sQ0_spl|~sQ1_spl|sQ6_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f235,f211,f214,f237])).
% 0.17/5.48 fof(f245,plain,(
% 0.17/5.48 $false|sQ1_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f216,f66])).
% 0.17/5.48 fof(f246,plain,(
% 0.17/5.48 sQ1_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f245])).
% 0.17/5.48 fof(f247,plain,(
% 0.17/5.48 $false|~sQ0_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f212,f63])).
% 0.17/5.48 fof(f248,plain,(
% 0.17/5.48 ~sQ0_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f247])).
% 0.17/5.48 fof(f250,definition,(
% 0.17/5.48 sQ8_spl <=> (v3_group_1(sK1_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f252,plain,(
% 0.17/5.48 ~v3_group_1(sK1_skl)|sQ8_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f250])).
% 0.17/5.48 fof(f253,definition,(
% 0.17/5.48 sQ9_spl <=> (v4_group_1(sK1_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f255,plain,(
% 0.17/5.48 ~v4_group_1(sK1_skl)|sQ9_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f253])).
% 0.17/5.48 fof(f256,definition,(
% 0.17/5.48 sQ10_spl <=> (m1_group_2(sK4_skl,sK1_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f258,plain,(
% 0.17/5.48 ~m1_group_2(sK4_skl,sK1_skl)|sQ10_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f256])).
% 0.17/5.48 fof(f263,plain,(
% 0.17/5.48 ![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)))),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f99,f108])).
% 0.17/5.48 fof(f266,plain,(
% 0.17/5.48 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|v1_relat_1(X0))),
% 0.17/5.48 inference(resolution,[status(thm)],[f114,f86])).
% 0.17/5.48 fof(f282,plain,(
% 0.17/5.48 v3_struct_0(sK1_skl)|~v3_group_1(sK1_skl)|~v4_group_1(sK1_skl)|~l1_group_1(sK1_skl)|~m1_group_2(sK4_skl,sK1_skl)|m1_group_2(sK3_skl,sK4_skl)),
% 0.17/5.48 inference(resolution,[status(thm)],[f174,f77])).
% 0.17/5.48 fof(f283,definition,(
% 0.17/5.48 sQ14_spl <=> (m1_group_2(sK3_skl,sK4_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f286,plain,(
% 0.17/5.48 sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ1_spl|~sQ10_spl|sQ14_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f282,f211,f250,f253,f214,f256,f283])).
% 0.17/5.48 fof(f287,plain,(
% 0.17/5.48 $false|sQ10_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f258,f72])).
% 0.17/5.48 fof(f288,plain,(
% 0.17/5.48 sQ10_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f287])).
% 0.17/5.48 fof(f289,plain,(
% 0.17/5.48 $false|sQ9_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f255,f65])).
% 0.17/5.48 fof(f290,plain,(
% 0.17/5.48 sQ9_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f289])).
% 0.17/5.48 fof(f291,plain,(
% 0.17/5.48 $false|sQ8_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f252,f64])).
% 0.17/5.48 fof(f292,plain,(
% 0.17/5.48 sQ8_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f291])).
% 0.17/5.48 fof(f294,plain,(
% 0.17/5.48 ![X0,X1]: (v3_struct_0(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~m1_group_2(X0,sK0_skl)|m1_group_6(X1,sK0_skl,X0)|~m1_group_2(X1,X0))),
% 0.17/5.48 inference(resolution,[status(thm)],[f175,f60])).
% 0.17/5.48 fof(f299,definition,(
% 0.17/5.48 sQ16_spl <=> (v4_group_1(sK0_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f301,plain,(
% 0.17/5.48 ~v4_group_1(sK0_skl)|sQ16_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f299])).
% 0.17/5.48 fof(f302,definition,(
% 0.17/5.48 ![X0,X1]: (sQ17_spl <=> (~m1_group_2(X0,sK0_skl)|m1_group_6(X1,sK0_skl,X0)|~m1_group_2(X1,X0)))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f303,plain,(
% 0.17/5.48 ![X0,X1]: (~m1_group_2(X0,sK0_skl)|m1_group_6(X1,sK0_skl,X0)|~m1_group_2(X1,X0)|~sQ17_spl)),
% 0.17/5.48 inference(component_clause,[status(thm)],[f302])).
% 0.17/5.48 fof(f305,plain,(
% 0.17/5.48 sQ3_spl|~sQ16_spl|~sQ4_spl|sQ17_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f294,f221,f299,f224,f302])).
% 0.17/5.48 fof(f306,plain,(
% 0.17/5.48 $false|sQ16_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f301,f61])).
% 0.17/5.48 fof(f307,plain,(
% 0.17/5.48 sQ16_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f306])).
% 0.17/5.48 fof(f308,plain,(
% 0.17/5.48 m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))),
% 0.17/5.48 inference(resolution,[status(thm)],[f178,f70])).
% 0.17/5.48 fof(f319,plain,(
% 0.17/5.48 v3_group_1(sK4_skl)|~sQ2_spl),
% 0.17/5.48 inference(resolution,[status(thm)],[f218,f72])).
% 0.17/5.48 fof(f320,plain,(
% 0.17/5.48 v3_group_1(sK3_skl)|~sQ2_spl),
% 0.17/5.48 inference(resolution,[status(thm)],[f218,f71])).
% 0.17/5.48 fof(f321,plain,(
% 0.17/5.48 l1_group_1(sK4_skl)|~sQ6_spl),
% 0.17/5.48 inference(resolution,[status(thm)],[f238,f72])).
% 0.17/5.48 fof(f322,plain,(
% 0.17/5.48 l1_group_1(sK3_skl)|~sQ6_spl),
% 0.17/5.48 inference(resolution,[status(thm)],[f238,f71])).
% 0.17/5.48 fof(f374,definition,(
% 0.17/5.48 sQ31_spl <=> (v3_group_1(sK0_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f376,plain,(
% 0.17/5.48 ~v3_group_1(sK0_skl)|sQ31_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f374])).
% 0.17/5.48 fof(f381,plain,(
% 0.17/5.48 $false|sQ31_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f376,f60])).
% 0.17/5.48 fof(f382,plain,(
% 0.17/5.48 sQ31_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f381])).
% 0.17/5.48 fof(f425,plain,(
% 0.17/5.48 ![X0]: (~v1_funct_1(sK2_skl)|k3_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,X0)=k10_relat_1(sK2_skl,X0))),
% 0.17/5.48 inference(resolution,[status(thm)],[f308,f170])).
% 0.17/5.48 fof(f429,definition,(
% 0.17/5.48 sQ41_spl <=> (v1_funct_1(sK2_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f431,plain,(
% 0.17/5.48 ~v1_funct_1(sK2_skl)|sQ41_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f429])).
% 0.17/5.48 fof(f432,definition,(
% 0.17/5.48 ![X0]: (sQ42_spl <=> (k3_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,X0)=k10_relat_1(sK2_skl,X0)))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f433,plain,(
% 0.17/5.48 ![X0]: (k3_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),sK2_skl,X0)=k10_relat_1(sK2_skl,X0)|~sQ42_spl)),
% 0.17/5.48 inference(component_clause,[status(thm)],[f432])).
% 0.17/5.48 fof(f435,plain,(
% 0.17/5.48 ~sQ41_spl|sQ42_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f425,f429,f432])).
% 0.17/5.48 fof(f450,plain,(
% 0.17/5.48 $false|sQ41_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f431,f67])).
% 0.17/5.48 fof(f451,plain,(
% 0.17/5.48 sQ41_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f450])).
% 0.17/5.48 fof(f459,definition,(
% 0.17/5.48 sQ47_spl <=> (v3_struct_0(sK4_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f460,plain,(
% 0.17/5.48 v3_struct_0(sK4_skl)|~sQ47_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f459])).
% 0.17/5.48 fof(f462,definition,(
% 0.17/5.48 sQ48_spl <=> (l1_group_1(sK4_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f464,plain,(
% 0.17/5.48 ~l1_group_1(sK4_skl)|sQ48_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f462])).
% 0.17/5.48 fof(f496,definition,(
% 0.17/5.48 sQ56_spl <=> (l1_group_1(sK3_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f498,plain,(
% 0.17/5.48 ~l1_group_1(sK3_skl)|sQ56_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f496])).
% 0.17/5.48 fof(f522,plain,(
% 0.17/5.48 ![X0]: (m1_group_6(X0,sK0_skl,sK6_skl)|~m1_group_2(X0,sK6_skl)|~sQ17_spl)),
% 0.17/5.48 inference(resolution,[status(thm)],[f303,f74])).
% 0.17/5.48 fof(f553,plain,(
% 0.17/5.48 u1_struct_0(sK6_skl)=k10_relat_1(sK2_skl,u1_struct_0(sK4_skl))|~sQ42_spl),
% 0.17/5.48 inference(backward_demodulation,[status(thm)],[f433,f76])).
% 0.17/5.48 fof(f554,plain,(
% 0.17/5.48 u1_struct_0(sK5_skl)=k10_relat_1(sK2_skl,u1_struct_0(sK3_skl))|~sQ42_spl),
% 0.17/5.48 inference(backward_demodulation,[status(thm)],[f433,f75])).
% 0.17/5.48 fof(f555,plain,(
% 0.17/5.48 $false|~sQ6_spl|sQ48_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f464,f321])).
% 0.17/5.48 fof(f556,plain,(
% 0.17/5.48 ~sQ6_spl|sQ48_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f555])).
% 0.17/5.48 fof(f561,plain,(
% 0.17/5.48 ![X0]: (v3_struct_0(X0)|~v3_group_1(X0)|~l1_group_1(X0)|~m1_group_2(sK4_skl,X0)|~sQ47_spl)),
% 0.17/5.48 inference(resolution,[status(thm)],[f460,f108])).
% 0.17/5.48 fof(f562,plain,(
% 0.17/5.48 ![X0]: (~v1_relat_1(sK2_skl)|~r1_tarski(X0,u1_struct_0(sK4_skl))|r1_tarski(k10_relat_1(sK2_skl,X0),u1_struct_0(sK6_skl))|~sQ42_spl)),
% 0.17/5.48 inference(paramodulation,[status(thm)],[f553,f184])).
% 0.17/5.48 fof(f564,definition,(
% 0.17/5.48 sQ65_spl <=> (v1_relat_1(sK2_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f566,plain,(
% 0.17/5.48 ~v1_relat_1(sK2_skl)|sQ65_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f564])).
% 0.17/5.48 fof(f567,definition,(
% 0.17/5.48 ![X0]: (sQ66_spl <=> (~r1_tarski(X0,u1_struct_0(sK4_skl))|r1_tarski(k10_relat_1(sK2_skl,X0),u1_struct_0(sK6_skl))))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f568,plain,(
% 0.17/5.48 ![X0]: (~r1_tarski(X0,u1_struct_0(sK4_skl))|r1_tarski(k10_relat_1(sK2_skl,X0),u1_struct_0(sK6_skl))|~sQ66_spl)),
% 0.17/5.48 inference(component_clause,[status(thm)],[f567])).
% 0.17/5.48 fof(f570,plain,(
% 0.17/5.48 ~sQ65_spl|sQ66_spl|~sQ42_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f562,f564,f567,f432])).
% 0.17/5.48 fof(f599,plain,(
% 0.17/5.48 $false|~sQ6_spl|sQ56_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f498,f322])).
% 0.17/5.48 fof(f600,plain,(
% 0.17/5.48 ~sQ6_spl|sQ56_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f599])).
% 0.17/5.48 fof(f620,plain,(
% 0.17/5.48 v3_struct_0(sK1_skl)|~v3_group_1(sK1_skl)|~l1_group_1(sK1_skl)|~sQ47_spl),
% 0.17/5.48 inference(resolution,[status(thm)],[f561,f72])).
% 0.17/5.48 fof(f621,plain,(
% 0.17/5.48 sQ0_spl|~sQ8_spl|~sQ1_spl|~sQ47_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f620,f211,f250,f214,f459])).
% 0.17/5.48 fof(f630,definition,(
% 0.17/5.48 sQ75_spl <=> (v3_group_1(sK4_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f632,plain,(
% 0.17/5.48 ~v3_group_1(sK4_skl)|sQ75_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f630])).
% 0.17/5.48 fof(f634,plain,(
% 0.17/5.48 $false|~sQ2_spl|sQ75_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f632,f319])).
% 0.17/5.48 fof(f635,plain,(
% 0.17/5.48 ~sQ2_spl|sQ75_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f634])).
% 0.17/5.48 fof(f646,definition,(
% 0.17/5.48 sQ78_spl <=> (v3_group_1(sK3_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f648,plain,(
% 0.17/5.48 ~v3_group_1(sK3_skl)|sQ78_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f646])).
% 0.17/5.48 fof(f650,plain,(
% 0.17/5.48 $false|~sQ2_spl|sQ78_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f648,f320])).
% 0.17/5.48 fof(f651,plain,(
% 0.17/5.48 ~sQ2_spl|sQ78_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f650])).
% 0.17/5.48 fof(f719,definition,(
% 0.17/5.48 sQ85_spl <=> (m1_group_2(sK6_skl,sK0_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f721,plain,(
% 0.17/5.48 ~m1_group_2(sK6_skl,sK0_skl)|sQ85_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f719])).
% 0.17/5.48 fof(f734,plain,(
% 0.17/5.48 v1_relat_1(sK2_skl)),
% 0.17/5.48 inference(resolution,[status(thm)],[f266,f70])).
% 0.17/5.48 fof(f735,plain,(
% 0.17/5.48 $false|sQ65_spl),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f734,f566])).
% 0.17/5.48 fof(f736,plain,(
% 0.17/5.48 sQ65_spl),
% 0.17/5.48 inference(contradiction_clause,[status(thm)],[f735])).
% 0.17/5.48 fof(f737,plain,(
% 0.17/5.48 ~r1_tarski(u1_struct_0(sK3_skl),u1_struct_0(sK4_skl))|r1_tarski(u1_struct_0(sK5_skl),u1_struct_0(sK6_skl))|~sQ66_spl|~sQ42_spl),
% 0.17/5.48 inference(paramodulation,[status(thm)],[f554,f568])).
% 0.17/5.48 fof(f739,definition,(
% 0.17/5.48 sQ86_spl <=> (r1_tarski(u1_struct_0(sK3_skl),u1_struct_0(sK4_skl)))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f741,plain,(
% 0.17/5.48 ~r1_tarski(u1_struct_0(sK3_skl),u1_struct_0(sK4_skl))|sQ86_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f739])).
% 0.17/5.48 fof(f742,definition,(
% 0.17/5.48 sQ87_spl <=> (r1_tarski(u1_struct_0(sK5_skl),u1_struct_0(sK6_skl)))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f743,plain,(
% 0.17/5.48 r1_tarski(u1_struct_0(sK5_skl),u1_struct_0(sK6_skl))|~sQ87_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f742])).
% 0.17/5.48 fof(f745,plain,(
% 0.17/5.48 ~sQ86_spl|sQ87_spl|~sQ66_spl|~sQ42_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f737,f739,f742,f567,f432])).
% 0.17/5.48 fof(f773,plain,(
% 0.17/5.48 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)|sQ86_spl),
% 0.17/5.48 inference(resolution,[status(thm)],[f741,f263])).
% 0.17/5.48 fof(f774,plain,(
% 0.17/5.48 sQ47_spl|~sQ75_spl|~sQ48_spl|~sQ78_spl|~sQ56_spl|~sQ14_spl|sQ86_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f773,f459,f630,f462,f646,f496,f283,f739])).
% 0.17/5.48 fof(f783,plain,(
% 0.17/5.48 ![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)|~sQ87_spl)),
% 0.17/5.48 inference(resolution,[status(thm)],[f743,f200])).
% 0.17/5.48 fof(f784,definition,(
% 0.17/5.48 ![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)))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f785,plain,(
% 0.17/5.48 ![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)),
% 0.17/5.48 inference(component_clause,[status(thm)],[f784])).
% 0.17/5.48 fof(f787,definition,(
% 0.17/5.48 sQ95_spl <=> (m1_group_2(sK5_skl,sK6_skl))),
% 0.17/5.48 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.17/5.48 fof(f788,plain,(
% 0.17/5.48 m1_group_2(sK5_skl,sK6_skl)|~sQ95_spl),
% 0.17/5.48 inference(component_clause,[status(thm)],[f787])).
% 0.17/5.48 fof(f790,plain,(
% 0.17/5.48 sQ94_spl|sQ95_spl|~sQ87_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f783,f784,f787,f742])).
% 0.17/5.48 fof(f806,plain,(
% 0.17/5.48 v3_struct_0(sK0_skl)|~v3_group_1(sK0_skl)|~v4_group_1(sK0_skl)|~l1_group_1(sK0_skl)|~m1_group_2(sK6_skl,sK0_skl)|~sQ94_spl),
% 0.17/5.48 inference(resolution,[status(thm)],[f785,f73])).
% 0.17/5.48 fof(f807,plain,(
% 0.17/5.48 sQ3_spl|~sQ31_spl|~sQ16_spl|~sQ4_spl|~sQ85_spl|~sQ94_spl),
% 0.17/5.48 inference(split_clause,[status(thm)],[f806,f221,f374,f299,f224,f719,f784])).
% 0.17/5.49 fof(f808,plain,(
% 0.17/5.49 $false|sQ85_spl),
% 0.17/5.49 inference(forward_subsumption_resolution,[status(thm)],[f721,f74])).
% 0.17/5.49 fof(f809,plain,(
% 0.17/5.49 sQ85_spl),
% 0.17/5.49 inference(contradiction_clause,[status(thm)],[f808])).
% 0.17/5.49 fof(f812,plain,(
% 0.17/5.49 m1_group_6(sK5_skl,sK0_skl,sK6_skl)|~sQ17_spl|~sQ95_spl),
% 0.17/5.49 inference(resolution,[status(thm)],[f522,f788])).
% 0.17/5.49 fof(f813,plain,(
% 0.17/5.49 $false|~sQ17_spl|~sQ95_spl),
% 0.17/5.49 inference(forward_subsumption_resolution,[status(thm)],[f812,f78])).
% 0.17/5.49 fof(f814,plain,(
% 0.17/5.49 ~sQ17_spl|~sQ95_spl),
% 0.17/5.49 inference(contradiction_clause,[status(thm)],[f813])).
% 0.17/5.49 fof(f815,plain,(
% 0.17/5.49 $false),
% 0.17/5.49 inference(sat_refutation,[status(thm)],[f220,f232,f234,f240,f246,f248,f286,f288,f290,f292,f305,f307,f382,f435,f451,f556,f570,f600,f621,f635,f651,f736,f745,f774,f790,f807,f809,f814])).
% 0.17/5.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/5.50 % Elapsed time: 0.109124 seconds
% 0.17/5.50 % CPU time: 0.513354 seconds
% 0.17/5.50 % Total memory used: 111.464 MB
% 0.17/5.50 % Net memory used: 111.198 MB
%------------------------------------------------------------------------------