%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT378+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 : n020.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 01:03:55 PM UTC 2026
% Result : Theorem 5.22s 1.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT378+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n020.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 23:56:47 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 5.22/1.22 % Refutation found
% 5.22/1.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.22/1.22 % SZS output start CNFRefutation for theBenchmark
% 5.22/1.22 fof(f1,conjecture,(
% 5.22/1.22 (! [A] :( ( ~ v3_struct_0(A)& l1_orders_2(A) )=> (! [B] :( ( ~ v3_struct_0(B)& l1_orders_2(B) )=> (! [C] :( ( ~ v3_struct_0(C)& l1_orders_2(C) )=> (! [D] :( ( v1_funct_1(D)& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )=> (! [E] :( ( v1_funct_1(E)& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )=> ( ( v4_waybel34(D,A,B)& v4_waybel34(E,B,C) )=> v4_waybel34(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) )) )) )) )) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f2,negated_conjecture,(
% 5.22/1.22 ~((! [A] :( ( ~ v3_struct_0(A)& l1_orders_2(A) )=> (! [B] :( ( ~ v3_struct_0(B)& l1_orders_2(B) )=> (! [C] :( ( ~ v3_struct_0(C)& l1_orders_2(C) )=> (! [D] :( ( v1_funct_1(D)& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )=> (! [E] :( ( v1_funct_1(E)& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )=> ( ( v4_waybel34(D,A,B)& v4_waybel34(E,B,C) )=> v4_waybel34(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) )) )) )) )) ))),
% 5.22/1.22 inference(negated_conjecture,[status(cth)],[f1])).
% 5.22/1.22 fof(f17,axiom,(
% 5.22/1.22 (! [A,B,C] :( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))=> v1_relat_1(C) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f24,axiom,(
% 5.22/1.22 (! [A] :( ( ~ v3_struct_0(A)& l1_orders_2(A) )=> (! [B] :( ( ~ v3_struct_0(B)& l1_orders_2(B) )=> (! [C] :( ( v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> ( v4_waybel34(C,A,B)<=> (! [D] :( ( v1_finset_1(D)& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )=> r4_waybel_0(A,B,C,D) ) )) ) )) )) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f28,axiom,(
% 5.22/1.22 (! [A,B,C,D] :( ( l1_struct_0(A)& l1_struct_0(B)& v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f30,axiom,(
% 5.22/1.22 (! [A,B,C,D,E] :( ( ~ v1_xboole_0(B)& v1_funct_1(D)& v1_funct_2(D,A,B)& m1_relset_1(D,A,B)& v1_funct_1(E)& v1_funct_2(E,B,C)& m1_relset_1(E,B,C) )=> ( v1_funct_1(k7_funct_2(A,B,C,D,E))& v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)& m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) ) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f32,axiom,(
% 5.22/1.22 (! [A] :( l1_orders_2(A)=> l1_struct_0(A) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f36,axiom,(
% 5.22/1.22 (! [A,B,C] :( m2_relset_1(C,A,B)=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f43,axiom,(
% 5.22/1.22 (! [A,B] :( ( v1_relat_1(A)& v1_funct_1(A)& v1_finset_1(B) )=> v1_finset_1(k9_relat_1(A,B)) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f46,axiom,(
% 5.22/1.22 (! [A] :( ( ~ v3_struct_0(A)& l1_struct_0(A) )=> ~ v1_xboole_0(u1_struct_0(A)) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f58,axiom,(
% 5.22/1.22 (! [A,B,C,D] :( ( l1_struct_0(A)& l1_struct_0(B)& v1_funct_1(C)& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )=> k4_pre_topc(A,B,C,D) = k9_relat_1(C,D) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f59,axiom,(
% 5.22/1.22 (! [A,B,C,D,E] :( ( ~ v1_xboole_0(B)& v1_funct_1(D)& v1_funct_2(D,A,B)& m1_relset_1(D,A,B)& v1_funct_1(E)& v1_funct_2(E,B,C)& m1_relset_1(E,B,C) )=> k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f60,axiom,(
% 5.22/1.22 (! [A,B,C] :( m2_relset_1(C,A,B)<=> m1_relset_1(C,A,B) ) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f67,axiom,(
% 5.22/1.22 (! [A] :( ( ~ v3_struct_0(A)& l1_orders_2(A) )=> (! [B] :( ( ~ v3_struct_0(B)& l1_orders_2(B) )=> (! [C] :( ( ~ v3_struct_0(C)& l1_orders_2(C) )=> (! [D] :( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))=> (! [E] :( ( v1_funct_1(E)& v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )=> (! [F] :( ( v1_funct_1(F)& v1_funct_2(F,u1_struct_0(B),u1_struct_0(C))& m2_relset_1(F,u1_struct_0(B),u1_struct_0(C)) )=> ( ( r4_waybel_0(A,B,E,D)& r4_waybel_0(B,C,F,k4_pre_topc(A,B,E,D)) )=> r4_waybel_0(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),E,F),D) ) ) )) )) )) )) )) )),
% 5.22/1.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.22/1.22 fof(f71,plain,(
% 5.22/1.22 (?[A]: ((~v3_struct_0(A)&l1_orders_2(A))&(?[B]: ((~v3_struct_0(B)&l1_orders_2(B))&(?[C]: ((~v3_struct_0(C)&l1_orders_2(C))&(?[D]: (((v1_funct_1(D)&v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)))&m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)))&(?[E]: (((v1_funct_1(E)&v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)))&m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)))&((v4_waybel34(D,A,B)&v4_waybel34(E,B,C))&~v4_waybel34(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C))))))))))))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 5.22/1.22 fof(f72,plain,(
% 5.22/1.22 ((~v3_struct_0(sK0_skl)&l1_orders_2(sK0_skl))&((~v3_struct_0(sK1_skl)&l1_orders_2(sK1_skl))&((~v3_struct_0(sK2_skl)&l1_orders_2(sK2_skl))&(((v1_funct_1(sK3_skl)&v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)))&m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)))&(((v1_funct_1(sK4_skl)&v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)))&m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)))&((v4_waybel34(sK3_skl,sK0_skl,sK1_skl)&v4_waybel34(sK4_skl,sK1_skl,sK2_skl))&~v4_waybel34(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK0_skl,sK2_skl)))))))),
% 5.22/1.22 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl),skolemize(E,sK4_skl)],[f71])).
% 5.22/1.22 fof(f73,plain,(
% 5.22/1.22 ~v3_struct_0(sK0_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f74,plain,(
% 5.22/1.22 l1_orders_2(sK0_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f75,plain,(
% 5.22/1.22 ~v3_struct_0(sK1_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f76,plain,(
% 5.22/1.22 l1_orders_2(sK1_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f77,plain,(
% 5.22/1.22 ~v3_struct_0(sK2_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f78,plain,(
% 5.22/1.22 l1_orders_2(sK2_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f79,plain,(
% 5.22/1.22 v1_funct_1(sK3_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f80,plain,(
% 5.22/1.22 v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f81,plain,(
% 5.22/1.22 m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f82,plain,(
% 5.22/1.22 v1_funct_1(sK4_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f83,plain,(
% 5.22/1.22 v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f84,plain,(
% 5.22/1.22 m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f85,plain,(
% 5.22/1.22 v4_waybel34(sK3_skl,sK0_skl,sK1_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f86,plain,(
% 5.22/1.22 v4_waybel34(sK4_skl,sK1_skl,sK2_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f87,plain,(
% 5.22/1.22 ~v4_waybel34(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),sK0_skl,sK2_skl)),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f72])).
% 5.22/1.22 fof(f136,plain,(
% 5.22/1.22 ![A,B,C]: (~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 5.22/1.22 fof(f137,plain,(
% 5.22/1.22 ![C]: ((![A,B]: ~m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))|v1_relat_1(C))),
% 5.22/1.22 inference(miniscoping,[status(thm)],[f136])).
% 5.22/1.22 fof(f138,plain,(
% 5.22/1.22 ![X0,X1,X2]: (~m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|v1_relat_1(X0))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f137])).
% 5.22/1.22 fof(f157,plain,(
% 5.22/1.22 ![A]: ((v3_struct_0(A)|~l1_orders_2(A))|(![B]: ((v3_struct_0(B)|~l1_orders_2(B))|(![C]: (((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|(v4_waybel34(C,A,B)<=>(![D]: ((~v1_finset_1(D)|~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))|r4_waybel_0(A,B,C,D)))))))))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 5.22/1.22 fof(f158,plain,(
% 5.22/1.22 ![A]: ((v3_struct_0(A)|~l1_orders_2(A))|(![B]: ((v3_struct_0(B)|~l1_orders_2(B))|(![C]: (((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|((~v4_waybel34(C,A,B)|(![D]: ((~v1_finset_1(D)|~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))|r4_waybel_0(A,B,C,D))))&(v4_waybel34(C,A,B)|(?[D]: ((v1_finset_1(D)&m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))&~r4_waybel_0(A,B,C,D))))))))))),
% 5.22/1.22 inference(NNF_transformation,[status(thm)],[f157])).
% 5.22/1.22 fof(f159,plain,(
% 5.22/1.22 ![A]: ((v3_struct_0(A)|~l1_orders_2(A))|(![B]: ((v3_struct_0(B)|~l1_orders_2(B))|(![C]: (((~v1_funct_1(C)|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|((~v4_waybel34(C,A,B)|(![D]: ((~v1_finset_1(D)|~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))|r4_waybel_0(A,B,C,D))))&(v4_waybel34(C,A,B)|((v1_finset_1(sK5_skl(C,B,A))&m1_subset_1(sK5_skl(C,B,A),k1_zfmisc_1(u1_struct_0(A))))&~r4_waybel_0(A,B,C,sK5_skl(C,B,A))))))))))),
% 5.22/1.22 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(D,sK5_skl(C,B,A))],[f158])).
% 5.22/1.22 fof(f160,plain,(
% 5.22/1.22 ![X0,X1,X2,X3]: (v3_struct_0(X0)|~l1_orders_2(X0)|v3_struct_0(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|~v4_waybel34(X2,X0,X1)|~v1_finset_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))|r4_waybel_0(X0,X1,X2,X3))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f159])).
% 5.22/1.22 fof(f161,plain,(
% 5.22/1.22 ![X0,X1,X2]: (v3_struct_0(X0)|~l1_orders_2(X0)|v3_struct_0(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|v4_waybel34(X2,X0,X1)|v1_finset_1(sK5_skl(X2,X1,X0)))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f159])).
% 5.22/1.22 fof(f162,plain,(
% 5.22/1.22 ![X0,X1,X2]: (v3_struct_0(X0)|~l1_orders_2(X0)|v3_struct_0(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|v4_waybel34(X2,X0,X1)|m1_subset_1(sK5_skl(X2,X1,X0),k1_zfmisc_1(u1_struct_0(X0))))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f159])).
% 5.22/1.22 fof(f163,plain,(
% 5.22/1.22 ![X0,X1,X2]: (v3_struct_0(X0)|~l1_orders_2(X0)|v3_struct_0(X1)|~l1_orders_2(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|v4_waybel34(X2,X0,X1)|~r4_waybel_0(X0,X1,X2,sK5_skl(X2,X1,X0)))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f159])).
% 5.22/1.22 fof(f164,plain,(
% 5.22/1.22 ![A,B,C,D]: (((((~l1_struct_0(A)|~l1_struct_0(B))|~v1_funct_1(C))|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 5.22/1.22 fof(f165,plain,(
% 5.22/1.22 ![A,B,C]: (((((~l1_struct_0(A)|~l1_struct_0(B))|~v1_funct_1(C))|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|(![D]: m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B)))))),
% 5.22/1.22 inference(miniscoping,[status(thm)],[f164])).
% 5.22/1.22 fof(f166,plain,(
% 5.22/1.22 ![X0,X1,X2,X3]: (~l1_struct_0(X0)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f165])).
% 5.22/1.22 fof(f169,plain,(
% 5.22/1.22 ![A,B,C,D,E]: (((((((v1_xboole_0(B)|~v1_funct_1(D))|~v1_funct_2(D,A,B))|~m1_relset_1(D,A,B))|~v1_funct_1(E))|~v1_funct_2(E,B,C))|~m1_relset_1(E,B,C))|((v1_funct_1(k7_funct_2(A,B,C,D,E))&v1_funct_2(k7_funct_2(A,B,C,D,E),A,C))&m2_relset_1(k7_funct_2(A,B,C,D,E),A,C)))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 5.22/1.22 fof(f170,plain,(
% 5.22/1.22 ![X0,X1,X2,X3,X4]: (v1_xboole_0(X0)|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X0)|~m1_relset_1(X1,X2,X0)|~v1_funct_1(X3)|~v1_funct_2(X3,X0,X4)|~m1_relset_1(X3,X0,X4)|v1_funct_1(k7_funct_2(X2,X0,X4,X1,X3)))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f169])).
% 5.22/1.22 fof(f171,plain,(
% 5.22/1.22 ![X0,X1,X2,X3,X4]: (v1_xboole_0(X0)|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X0)|~m1_relset_1(X1,X2,X0)|~v1_funct_1(X3)|~v1_funct_2(X3,X0,X4)|~m1_relset_1(X3,X0,X4)|v1_funct_2(k7_funct_2(X2,X0,X4,X1,X3),X2,X4))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f169])).
% 5.22/1.22 fof(f172,plain,(
% 5.22/1.22 ![X0,X1,X2,X3,X4]: (v1_xboole_0(X0)|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X0)|~m1_relset_1(X1,X2,X0)|~v1_funct_1(X3)|~v1_funct_2(X3,X0,X4)|~m1_relset_1(X3,X0,X4)|m2_relset_1(k7_funct_2(X2,X0,X4,X1,X3),X2,X4))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f169])).
% 5.22/1.22 fof(f173,plain,(
% 5.22/1.22 ![A]: (~l1_orders_2(A)|l1_struct_0(A))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 5.22/1.22 fof(f174,plain,(
% 5.22/1.22 ![X0]: (~l1_orders_2(X0)|l1_struct_0(X0))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f173])).
% 5.22/1.22 fof(f175,plain,(
% 5.22/1.22 ![A,B,C]: (~m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 5.22/1.22 fof(f176,plain,(
% 5.22/1.22 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f175])).
% 5.22/1.22 fof(f187,plain,(
% 5.22/1.22 ![A,B]: (((~v1_relat_1(A)|~v1_funct_1(A))|~v1_finset_1(B))|v1_finset_1(k9_relat_1(A,B)))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 5.22/1.22 fof(f188,plain,(
% 5.22/1.22 ![X0,X1]: (~v1_relat_1(X0)|~v1_funct_1(X0)|~v1_finset_1(X1)|v1_finset_1(k9_relat_1(X0,X1)))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f187])).
% 5.22/1.22 fof(f194,plain,(
% 5.22/1.22 ![A]: ((v3_struct_0(A)|~l1_struct_0(A))|~v1_xboole_0(u1_struct_0(A)))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 5.22/1.22 fof(f195,plain,(
% 5.22/1.22 ![X0]: (v3_struct_0(X0)|~l1_struct_0(X0)|~v1_xboole_0(u1_struct_0(X0)))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f194])).
% 5.22/1.22 fof(f243,plain,(
% 5.22/1.22 ![A,B,C,D]: (((((~l1_struct_0(A)|~l1_struct_0(B))|~v1_funct_1(C))|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|k4_pre_topc(A,B,C,D)=k9_relat_1(C,D))),
% 5.22/1.22 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 5.22/1.22 fof(f244,plain,(
% 5.22/1.22 ![A,B,C]: (((((~l1_struct_0(A)|~l1_struct_0(B))|~v1_funct_1(C))|~v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))|~m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)))|(![D]: k4_pre_topc(A,B,C,D)=k9_relat_1(C,D)))),
% 5.22/1.22 inference(miniscoping,[status(thm)],[f243])).
% 5.22/1.22 fof(f245,plain,(
% 5.22/1.22 ![X0,X1,X2,X3]: (~l1_struct_0(X0)|~l1_struct_0(X1)|~v1_funct_1(X2)|~v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))|~m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))|k4_pre_topc(X0,X1,X2,X3)=k9_relat_1(X2,X3))),
% 5.22/1.22 inference(cnf_transformation,[status(thm)],[f244])).
% 5.22/1.22 fof(f246,plain,(
% 5.22/1.22 ![A,B,C,D,E]: (((((((v1_xboole_0(B)|~v1_funct_1(D))|~v1_funct_2(D,A,B))|~m1_relset_1(D,A,B))|~v1_funct_1(E))|~v1_funct_2(E,B,C))|~m1_relset_1(E,B,C))|k7_funct_2(A,B,C,D,E)=k5_relat_1(D,E))),
% 5.22/1.23 inference(pre_NNF_transformation,[status(thm)],[f59])).
% 5.22/1.23 fof(f247,plain,(
% 5.22/1.23 ![X0,X1,X2,X3,X4]: (v1_xboole_0(X0)|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X0)|~m1_relset_1(X1,X2,X0)|~v1_funct_1(X3)|~v1_funct_2(X3,X0,X4)|~m1_relset_1(X3,X0,X4)|k7_funct_2(X2,X0,X4,X1,X3)=k5_relat_1(X1,X3))),
% 5.22/1.23 inference(cnf_transformation,[status(thm)],[f246])).
% 5.22/1.23 fof(f248,plain,(
% 5.22/1.23 ![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)))),
% 5.22/1.23 inference(NNF_transformation,[status(thm)],[f60])).
% 5.22/1.23 fof(f249,plain,(
% 5.22/1.23 (![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)))),
% 5.22/1.23 inference(miniscoping,[status(thm)],[f248])).
% 5.22/1.23 fof(f250,plain,(
% 5.22/1.23 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|m1_relset_1(X0,X1,X2))),
% 5.22/1.23 inference(cnf_transformation,[status(thm)],[f249])).
% 5.22/1.23 fof(f268,plain,(
% 5.22/1.23 ![A]: ((v3_struct_0(A)|~l1_orders_2(A))|(![B]: ((v3_struct_0(B)|~l1_orders_2(B))|(![C]: ((v3_struct_0(C)|~l1_orders_2(C))|(![D]: (~m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))|(![E]: (((~v1_funct_1(E)|~v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)))|~m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)))|(![F]: (((~v1_funct_1(F)|~v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)))|~m2_relset_1(F,u1_struct_0(B),u1_struct_0(C)))|((~r4_waybel_0(A,B,E,D)|~r4_waybel_0(B,C,F,k4_pre_topc(A,B,E,D)))|r4_waybel_0(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),E,F),D)))))))))))))),
% 5.22/1.23 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 5.22/1.23 fof(f269,plain,(
% 5.22/1.23 ![X0,X1,X2,X3,X4,X5]: (v3_struct_0(X0)|~l1_orders_2(X0)|v3_struct_0(X1)|~l1_orders_2(X1)|v3_struct_0(X2)|~l1_orders_2(X2)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))|~v1_funct_1(X4)|~v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))|~m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))|~v1_funct_1(X5)|~v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))|~m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))|~r4_waybel_0(X0,X1,X4,X3)|~r4_waybel_0(X1,X2,X5,k4_pre_topc(X0,X1,X4,X3))|r4_waybel_0(X0,X2,k7_funct_2(u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X2),X4,X5),X3))),
% 5.22/1.23 inference(cnf_transformation,[status(thm)],[f268])).
% 5.22/1.23 fof(f279,plain,(
% 5.22/1.23 m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))),
% 5.22/1.23 inference(resolution,[status(thm)],[f250,f84])).
% 5.22/1.23 fof(f280,plain,(
% 5.22/1.23 m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))),
% 5.22/1.23 inference(resolution,[status(thm)],[f250,f81])).
% 5.22/1.23 fof(f281,plain,(
% 5.22/1.23 ![X0,X1]: (v1_xboole_0(u1_struct_0(sK1_skl))|~v1_funct_1(X0)|~v1_funct_2(X0,X1,u1_struct_0(sK1_skl))|~m1_relset_1(X0,X1,u1_struct_0(sK1_skl))|~v1_funct_1(sK4_skl)|~v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|m2_relset_1(k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl),X1,u1_struct_0(sK2_skl)))),
% 5.22/1.23 inference(resolution,[status(thm)],[f279,f172])).
% 5.22/1.23 fof(f283,definition,(
% 5.22/1.23 sQ0_spl <=> (v1_xboole_0(u1_struct_0(sK1_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f284,plain,(
% 5.22/1.23 v1_xboole_0(u1_struct_0(sK1_skl))|~sQ0_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f283])).
% 5.22/1.23 fof(f286,definition,(
% 5.22/1.23 ![X0,X1]: (sQ1_spl <=> (~v1_funct_1(X0)|~v1_funct_2(X0,X1,u1_struct_0(sK1_skl))|~m1_relset_1(X0,X1,u1_struct_0(sK1_skl))|m2_relset_1(k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl),X1,u1_struct_0(sK2_skl))))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f287,plain,(
% 5.22/1.23 ![X0,X1]: (~v1_funct_1(X0)|~v1_funct_2(X0,X1,u1_struct_0(sK1_skl))|~m1_relset_1(X0,X1,u1_struct_0(sK1_skl))|m2_relset_1(k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl),X1,u1_struct_0(sK2_skl))|~sQ1_spl)),
% 5.22/1.23 inference(component_clause,[status(thm)],[f286])).
% 5.22/1.23 fof(f289,definition,(
% 5.22/1.23 sQ2_spl <=> (v1_funct_1(sK4_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f291,plain,(
% 5.22/1.23 ~v1_funct_1(sK4_skl)|sQ2_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f289])).
% 5.22/1.23 fof(f292,definition,(
% 5.22/1.23 sQ3_spl <=> (v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f294,plain,(
% 5.22/1.23 ~v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|sQ3_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f292])).
% 5.22/1.23 fof(f295,plain,(
% 5.22/1.23 sQ0_spl|sQ1_spl|~sQ2_spl|~sQ3_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f281,f283,f286,f289,f292])).
% 5.22/1.23 fof(f296,plain,(
% 5.22/1.23 $false|sQ3_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f294,f83])).
% 5.22/1.23 fof(f297,plain,(
% 5.22/1.23 sQ3_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f296])).
% 5.22/1.23 fof(f298,plain,(
% 5.22/1.23 $false|sQ2_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f291,f82])).
% 5.22/1.23 fof(f299,plain,(
% 5.22/1.23 sQ2_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f298])).
% 5.22/1.23 fof(f308,definition,(
% 5.22/1.23 sQ6_spl <=> (v1_funct_1(sK3_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f310,plain,(
% 5.22/1.23 ~v1_funct_1(sK3_skl)|sQ6_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f308])).
% 5.22/1.23 fof(f311,definition,(
% 5.22/1.23 sQ7_spl <=> (v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f313,plain,(
% 5.22/1.23 ~v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|sQ7_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f311])).
% 5.22/1.23 fof(f315,plain,(
% 5.22/1.23 $false|sQ7_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f313,f80])).
% 5.22/1.23 fof(f316,plain,(
% 5.22/1.23 sQ7_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f315])).
% 5.22/1.23 fof(f317,plain,(
% 5.22/1.23 $false|sQ6_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f310,f79])).
% 5.22/1.23 fof(f318,plain,(
% 5.22/1.23 sQ6_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f317])).
% 5.22/1.23 fof(f390,definition,(
% 5.22/1.23 sQ8_spl <=> (v3_struct_0(sK1_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f391,plain,(
% 5.22/1.23 v3_struct_0(sK1_skl)|~sQ8_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f390])).
% 5.22/1.23 fof(f393,definition,(
% 5.22/1.23 sQ9_spl <=> (l1_orders_2(sK1_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f395,plain,(
% 5.22/1.23 ~l1_orders_2(sK1_skl)|sQ9_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f393])).
% 5.22/1.23 fof(f396,definition,(
% 5.22/1.23 sQ10_spl <=> (v3_struct_0(sK2_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f397,plain,(
% 5.22/1.23 v3_struct_0(sK2_skl)|~sQ10_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f396])).
% 5.22/1.23 fof(f399,definition,(
% 5.22/1.23 sQ11_spl <=> (l1_orders_2(sK2_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f401,plain,(
% 5.22/1.23 ~l1_orders_2(sK2_skl)|sQ11_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f399])).
% 5.22/1.23 fof(f402,definition,(
% 5.22/1.23 sQ12_spl <=> (v4_waybel34(sK4_skl,sK1_skl,sK2_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f404,plain,(
% 5.22/1.23 ~v4_waybel34(sK4_skl,sK1_skl,sK2_skl)|sQ12_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f402])).
% 5.22/1.23 fof(f409,definition,(
% 5.22/1.23 sQ14_spl <=> (v3_struct_0(sK0_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f410,plain,(
% 5.22/1.23 v3_struct_0(sK0_skl)|~sQ14_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f409])).
% 5.22/1.23 fof(f412,definition,(
% 5.22/1.23 sQ15_spl <=> (l1_orders_2(sK0_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f414,plain,(
% 5.22/1.23 ~l1_orders_2(sK0_skl)|sQ15_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f412])).
% 5.22/1.23 fof(f415,definition,(
% 5.22/1.23 sQ16_spl <=> (v4_waybel34(sK3_skl,sK0_skl,sK1_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f417,plain,(
% 5.22/1.23 ~v4_waybel34(sK3_skl,sK0_skl,sK1_skl)|sQ16_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f415])).
% 5.22/1.23 fof(f422,plain,(
% 5.22/1.23 $false|sQ9_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f395,f76])).
% 5.22/1.23 fof(f423,plain,(
% 5.22/1.23 sQ9_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f422])).
% 5.22/1.23 fof(f424,plain,(
% 5.22/1.23 $false|~sQ8_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f391,f75])).
% 5.22/1.23 fof(f425,plain,(
% 5.22/1.23 ~sQ8_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f424])).
% 5.22/1.23 fof(f426,plain,(
% 5.22/1.23 $false|sQ15_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f414,f74])).
% 5.22/1.23 fof(f427,plain,(
% 5.22/1.23 sQ15_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f426])).
% 5.22/1.23 fof(f428,plain,(
% 5.22/1.23 $false|~sQ14_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f410,f73])).
% 5.22/1.23 fof(f429,plain,(
% 5.22/1.23 ~sQ14_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f428])).
% 5.22/1.23 fof(f447,plain,(
% 5.22/1.23 m1_subset_1(sK3_skl,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))))),
% 5.22/1.23 inference(resolution,[status(thm)],[f176,f81])).
% 5.22/1.23 fof(f544,plain,(
% 5.22/1.23 v3_struct_0(sK1_skl)|~l1_struct_0(sK1_skl)|~sQ0_spl),
% 5.22/1.23 inference(resolution,[status(thm)],[f195,f284])).
% 5.22/1.23 fof(f545,definition,(
% 5.22/1.23 sQ32_spl <=> (l1_struct_0(sK1_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f546,plain,(
% 5.22/1.23 l1_struct_0(sK1_skl)|~sQ32_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f545])).
% 5.22/1.23 fof(f547,plain,(
% 5.22/1.23 ~l1_struct_0(sK1_skl)|sQ32_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f545])).
% 5.22/1.23 fof(f548,plain,(
% 5.22/1.23 sQ8_spl|~sQ32_spl|~sQ0_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f544,f390,f545,f283])).
% 5.22/1.23 fof(f549,plain,(
% 5.22/1.23 ~l1_orders_2(sK1_skl)|sQ32_spl),
% 5.22/1.23 inference(resolution,[status(thm)],[f547,f174])).
% 5.22/1.23 fof(f550,plain,(
% 5.22/1.23 ~sQ9_spl|sQ32_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f549,f393,f545])).
% 5.22/1.23 fof(f583,definition,(
% 5.22/1.23 sQ33_spl <=> (l1_struct_0(sK0_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f585,plain,(
% 5.22/1.23 ~l1_struct_0(sK0_skl)|sQ33_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f583])).
% 5.22/1.23 fof(f587,plain,(
% 5.22/1.23 ~l1_orders_2(sK0_skl)|sQ33_spl),
% 5.22/1.23 inference(resolution,[status(thm)],[f585,f174])).
% 5.22/1.23 fof(f588,plain,(
% 5.22/1.23 ~sQ15_spl|sQ33_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f587,f412,f583])).
% 5.22/1.23 fof(f604,plain,(
% 5.22/1.23 v1_relat_1(sK3_skl)),
% 5.22/1.23 inference(resolution,[status(thm)],[f447,f138])).
% 5.22/1.23 fof(f679,plain,(
% 5.22/1.23 ![X0,X1,X2,X3]: (~l1_struct_0(X0)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X2))|~m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X2))|k4_pre_topc(X0,X2,X1,X3)=k9_relat_1(X1,X3)|~l1_orders_2(X2))),
% 5.22/1.23 inference(resolution,[status(thm)],[f245,f174])).
% 5.22/1.23 fof(f698,plain,(
% 5.22/1.23 ![X0,X1,X2]: (~l1_struct_0(X0)|~v1_funct_1(X1)|~v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1_skl))|~m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1_skl))|m1_subset_1(k4_pre_topc(X0,sK1_skl,X1,X2),k1_zfmisc_1(u1_struct_0(sK1_skl)))|~sQ32_spl)),
% 5.22/1.23 inference(resolution,[status(thm)],[f546,f166])).
% 5.22/1.23 fof(f701,definition,(
% 5.22/1.23 sQ46_spl <=> (m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f703,plain,(
% 5.22/1.23 ~m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|sQ46_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f701])).
% 5.22/1.23 fof(f704,definition,(
% 5.22/1.23 ![X0]: (sQ47_spl <=> (k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0)=k9_relat_1(sK3_skl,X0)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f705,plain,(
% 5.22/1.23 ![X0]: (k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0)=k9_relat_1(sK3_skl,X0)|~sQ47_spl)),
% 5.22/1.23 inference(component_clause,[status(thm)],[f704])).
% 5.22/1.23 fof(f709,plain,(
% 5.22/1.23 $false|sQ46_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f703,f280])).
% 5.22/1.23 fof(f710,plain,(
% 5.22/1.23 sQ46_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f709])).
% 5.22/1.23 fof(f720,plain,(
% 5.22/1.23 $false|sQ11_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f401,f78])).
% 5.22/1.23 fof(f721,plain,(
% 5.22/1.23 sQ11_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f720])).
% 5.22/1.23 fof(f722,plain,(
% 5.22/1.23 $false|~sQ10_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f397,f77])).
% 5.22/1.23 fof(f723,plain,(
% 5.22/1.23 ~sQ10_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f722])).
% 5.22/1.23 fof(f724,plain,(
% 5.22/1.23 ~v1_funct_1(sK3_skl)|~m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|m2_relset_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|~sQ1_spl),
% 5.22/1.23 inference(resolution,[status(thm)],[f287,f80])).
% 5.22/1.23 fof(f726,definition,(
% 5.22/1.23 sQ50_spl <=> (m2_relset_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f727,plain,(
% 5.22/1.23 m2_relset_1(k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|~sQ50_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f726])).
% 5.22/1.23 fof(f729,plain,(
% 5.22/1.23 ~sQ6_spl|~sQ46_spl|sQ50_spl|~sQ1_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f724,f308,f701,f726,f286])).
% 5.22/1.23 fof(f735,plain,(
% 5.22/1.23 ![X0,X1,X2,X3]: (~v1_funct_1(X0)|~v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))|~m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))|k4_pre_topc(X1,X2,X0,X3)=k9_relat_1(X0,X3)|~l1_orders_2(X2)|~l1_orders_2(X1))),
% 5.22/1.23 inference(resolution,[status(thm)],[f679,f174])).
% 5.22/1.23 fof(f739,definition,(
% 5.22/1.23 sQ51_spl <=> (m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f741,plain,(
% 5.22/1.23 ~m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|sQ51_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f739])).
% 5.22/1.23 fof(f746,plain,(
% 5.22/1.23 $false|sQ51_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f741,f279])).
% 5.22/1.23 fof(f747,plain,(
% 5.22/1.23 sQ51_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f746])).
% 5.22/1.23 fof(f803,plain,(
% 5.22/1.23 ![X0]: (~v1_funct_1(sK3_skl)|~m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0)=k9_relat_1(sK3_skl,X0)|~l1_orders_2(sK1_skl)|~l1_orders_2(sK0_skl))),
% 5.22/1.23 inference(resolution,[status(thm)],[f735,f80])).
% 5.22/1.23 fof(f806,plain,(
% 5.22/1.23 ~sQ6_spl|~sQ46_spl|sQ47_spl|~sQ9_spl|~sQ15_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f803,f308,f701,f704,f393,f412])).
% 5.22/1.23 fof(f930,plain,(
% 5.22/1.23 ![X0,X1]: (v1_xboole_0(u1_struct_0(sK1_skl))|~v1_funct_1(X0)|~v1_funct_2(X0,X1,u1_struct_0(sK1_skl))|~m1_relset_1(X0,X1,u1_struct_0(sK1_skl))|~v1_funct_1(sK4_skl)|~m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl)=k5_relat_1(X0,sK4_skl))),
% 5.22/1.23 inference(resolution,[status(thm)],[f247,f83])).
% 5.22/1.23 fof(f936,definition,(
% 5.22/1.23 ![X0,X1]: (sQ67_spl <=> (~v1_funct_1(X0)|~v1_funct_2(X0,X1,u1_struct_0(sK1_skl))|~m1_relset_1(X0,X1,u1_struct_0(sK1_skl))|k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl)=k5_relat_1(X0,sK4_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f937,plain,(
% 5.22/1.23 ![X0,X1]: (~v1_funct_1(X0)|~v1_funct_2(X0,X1,u1_struct_0(sK1_skl))|~m1_relset_1(X0,X1,u1_struct_0(sK1_skl))|k7_funct_2(X1,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),X0,sK4_skl)=k5_relat_1(X0,sK4_skl)|~sQ67_spl)),
% 5.22/1.23 inference(component_clause,[status(thm)],[f936])).
% 5.22/1.23 fof(f939,plain,(
% 5.22/1.23 sQ0_spl|sQ67_spl|~sQ2_spl|~sQ51_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f930,f283,f936,f289,f739])).
% 5.22/1.23 fof(f950,plain,(
% 5.22/1.23 ~v1_funct_1(sK3_skl)|~m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl)=k5_relat_1(sK3_skl,sK4_skl)|~sQ67_spl),
% 5.22/1.23 inference(resolution,[status(thm)],[f937,f80])).
% 5.22/1.23 fof(f952,definition,(
% 5.22/1.23 sQ68_spl <=> (k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl)=k5_relat_1(sK3_skl,sK4_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f953,plain,(
% 5.22/1.23 k7_funct_2(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl),u1_struct_0(sK2_skl),sK3_skl,sK4_skl)=k5_relat_1(sK3_skl,sK4_skl)|~sQ68_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f952])).
% 5.22/1.23 fof(f955,plain,(
% 5.22/1.23 ~sQ6_spl|~sQ46_spl|sQ68_spl|~sQ67_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f950,f308,f701,f952,f936])).
% 5.22/1.23 fof(f957,plain,(
% 5.22/1.23 ~v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl)|~sQ68_spl),
% 5.22/1.23 inference(backward_demodulation,[status(thm)],[f953,f87])).
% 5.22/1.23 fof(f958,plain,(
% 5.22/1.23 m2_relset_1(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|~sQ68_spl|~sQ50_spl),
% 5.22/1.23 inference(backward_demodulation,[status(thm)],[f953,f727])).
% 5.22/1.23 fof(f986,plain,(
% 5.22/1.23 ![X0]: (v3_struct_0(sK0_skl)|~l1_orders_2(sK0_skl)|v3_struct_0(sK1_skl)|~l1_orders_2(sK1_skl)|v3_struct_0(sK2_skl)|~l1_orders_2(sK2_skl)|~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~v1_funct_1(sK3_skl)|~v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|~m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|~v1_funct_1(sK4_skl)|~v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|~m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,X0)|~r4_waybel_0(sK1_skl,sK2_skl,sK4_skl,k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0))|r4_waybel_0(sK0_skl,sK2_skl,k5_relat_1(sK3_skl,sK4_skl),X0)|~sQ68_spl)),
% 5.22/1.23 inference(paramodulation,[status(thm)],[f953,f269])).
% 5.22/1.23 fof(f988,plain,(
% 5.22/1.23 v1_xboole_0(u1_struct_0(sK1_skl))|~v1_funct_1(sK3_skl)|~v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|~m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|~v1_funct_1(sK4_skl)|~v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|~m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|~sQ68_spl),
% 5.22/1.23 inference(paramodulation,[status(thm)],[f953,f171])).
% 5.22/1.23 fof(f989,plain,(
% 5.22/1.23 v1_xboole_0(u1_struct_0(sK1_skl))|~v1_funct_1(sK3_skl)|~v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|~m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|~v1_funct_1(sK4_skl)|~v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|~m1_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|v1_funct_1(k5_relat_1(sK3_skl,sK4_skl))|~sQ68_spl),
% 5.22/1.23 inference(paramodulation,[status(thm)],[f953,f170])).
% 5.22/1.23 fof(f990,definition,(
% 5.22/1.23 ![X0]: (sQ69_spl <=> (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,X0)|~r4_waybel_0(sK1_skl,sK2_skl,sK4_skl,k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0))|r4_waybel_0(sK0_skl,sK2_skl,k5_relat_1(sK3_skl,sK4_skl),X0)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f991,plain,(
% 5.22/1.23 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,X0)|~r4_waybel_0(sK1_skl,sK2_skl,sK4_skl,k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0))|r4_waybel_0(sK0_skl,sK2_skl,k5_relat_1(sK3_skl,sK4_skl),X0)|~sQ69_spl)),
% 5.22/1.23 inference(component_clause,[status(thm)],[f990])).
% 5.22/1.23 fof(f993,definition,(
% 5.22/1.23 sQ70_spl <=> (m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f995,plain,(
% 5.22/1.23 ~m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|sQ70_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f993])).
% 5.22/1.23 fof(f996,definition,(
% 5.22/1.23 sQ71_spl <=> (m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f998,plain,(
% 5.22/1.23 ~m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|sQ71_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f996])).
% 5.22/1.23 fof(f999,plain,(
% 5.22/1.23 sQ14_spl|~sQ15_spl|sQ8_spl|~sQ9_spl|sQ10_spl|~sQ11_spl|sQ69_spl|~sQ6_spl|~sQ7_spl|~sQ70_spl|~sQ2_spl|~sQ3_spl|~sQ71_spl|~sQ68_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f986,f409,f412,f390,f393,f396,f399,f990,f308,f311,f993,f289,f292,f996,f952])).
% 5.22/1.23 fof(f1007,definition,(
% 5.22/1.23 sQ74_spl <=> (v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1010,plain,(
% 5.22/1.23 sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ46_spl|~sQ2_spl|~sQ3_spl|~sQ51_spl|sQ74_spl|~sQ68_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f988,f283,f308,f311,f701,f289,f292,f739,f1007,f952])).
% 5.22/1.23 fof(f1011,definition,(
% 5.22/1.23 sQ75_spl <=> (v1_funct_1(k5_relat_1(sK3_skl,sK4_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1014,plain,(
% 5.22/1.23 sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ46_spl|~sQ2_spl|~sQ3_spl|~sQ51_spl|sQ75_spl|~sQ68_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f989,f283,f308,f311,f701,f289,f292,f739,f1011,f952])).
% 5.22/1.23 fof(f1017,plain,(
% 5.22/1.23 $false|sQ71_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f998,f84])).
% 5.22/1.23 fof(f1018,plain,(
% 5.22/1.23 sQ71_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f1017])).
% 5.22/1.23 fof(f1019,plain,(
% 5.22/1.23 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,X0)|~r4_waybel_0(sK1_skl,sK2_skl,sK4_skl,k9_relat_1(sK3_skl,X0))|r4_waybel_0(sK0_skl,sK2_skl,k5_relat_1(sK3_skl,sK4_skl),X0)|~sQ47_spl|~sQ69_spl)),
% 5.22/1.23 inference(forward_demodulation,[status(thm)],[f705,f991])).
% 5.22/1.23 fof(f1068,plain,(
% 5.22/1.23 v3_struct_0(sK0_skl)|~l1_orders_2(sK0_skl)|v3_struct_0(sK2_skl)|~l1_orders_2(sK2_skl)|~v1_funct_1(k5_relat_1(sK3_skl,sK4_skl))|~v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl)|m1_subset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))|~sQ68_spl|~sQ50_spl),
% 5.22/1.23 inference(resolution,[status(thm)],[f958,f162])).
% 5.22/1.23 fof(f1069,plain,(
% 5.22/1.23 v3_struct_0(sK0_skl)|~l1_orders_2(sK0_skl)|v3_struct_0(sK2_skl)|~l1_orders_2(sK2_skl)|~v1_funct_1(k5_relat_1(sK3_skl,sK4_skl))|~v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl)|v1_finset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))|~sQ68_spl|~sQ50_spl),
% 5.22/1.23 inference(resolution,[status(thm)],[f958,f161])).
% 5.22/1.23 fof(f1072,definition,(
% 5.22/1.23 sQ79_spl <=> (v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1073,plain,(
% 5.22/1.23 v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl)|~sQ79_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f1072])).
% 5.22/1.23 fof(f1075,definition,(
% 5.22/1.23 sQ80_spl <=> (m1_subset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1078,plain,(
% 5.22/1.23 sQ14_spl|~sQ15_spl|sQ10_spl|~sQ11_spl|~sQ75_spl|~sQ74_spl|sQ79_spl|sQ80_spl|~sQ68_spl|~sQ50_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f1068,f409,f412,f396,f399,f1011,f1007,f1072,f1075,f952,f726])).
% 5.22/1.23 fof(f1079,definition,(
% 5.22/1.23 sQ81_spl <=> (v1_finset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1082,plain,(
% 5.22/1.23 sQ14_spl|~sQ15_spl|sQ10_spl|~sQ11_spl|~sQ75_spl|~sQ74_spl|sQ79_spl|sQ81_spl|~sQ68_spl|~sQ50_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f1069,f409,f412,f396,f399,f1011,f1007,f1072,f1079,f952,f726])).
% 5.22/1.23 fof(f1083,plain,(
% 5.22/1.23 $false|~sQ68_spl|~sQ79_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f1073,f957])).
% 5.22/1.23 fof(f1084,plain,(
% 5.22/1.23 ~sQ68_spl|~sQ79_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f1083])).
% 5.22/1.23 fof(f1184,plain,(
% 5.22/1.23 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,X0)|r4_waybel_0(sK0_skl,sK2_skl,k5_relat_1(sK3_skl,sK4_skl),X0)|v3_struct_0(sK1_skl)|~l1_orders_2(sK1_skl)|v3_struct_0(sK2_skl)|~l1_orders_2(sK2_skl)|~v1_funct_1(sK4_skl)|~v1_funct_2(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|~m2_relset_1(sK4_skl,u1_struct_0(sK1_skl),u1_struct_0(sK2_skl))|~v4_waybel34(sK4_skl,sK1_skl,sK2_skl)|~v1_finset_1(k9_relat_1(sK3_skl,X0))|~m1_subset_1(k9_relat_1(sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl)))|~sQ47_spl|~sQ69_spl)),
% 5.22/1.23 inference(resolution,[status(thm)],[f1019,f160])).
% 5.22/1.23 fof(f1185,definition,(
% 5.22/1.23 ![X0]: (sQ95_spl <=> (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,X0)|r4_waybel_0(sK0_skl,sK2_skl,k5_relat_1(sK3_skl,sK4_skl),X0)|~v1_finset_1(k9_relat_1(sK3_skl,X0))|~m1_subset_1(k9_relat_1(sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl)))))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1186,plain,(
% 5.22/1.23 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,X0)|r4_waybel_0(sK0_skl,sK2_skl,k5_relat_1(sK3_skl,sK4_skl),X0)|~v1_finset_1(k9_relat_1(sK3_skl,X0))|~m1_subset_1(k9_relat_1(sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl)))|~sQ95_spl)),
% 5.22/1.23 inference(component_clause,[status(thm)],[f1185])).
% 5.22/1.23 fof(f1188,plain,(
% 5.22/1.23 sQ95_spl|sQ8_spl|~sQ9_spl|sQ10_spl|~sQ11_spl|~sQ2_spl|~sQ3_spl|~sQ71_spl|~sQ12_spl|~sQ47_spl|~sQ69_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f1184,f1185,f390,f393,f396,f399,f289,f292,f996,f402,f704,f990])).
% 5.22/1.23 fof(f1189,plain,(
% 5.22/1.23 $false|sQ70_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f995,f81])).
% 5.22/1.23 fof(f1190,plain,(
% 5.22/1.23 sQ70_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f1189])).
% 5.22/1.23 fof(f1326,plain,(
% 5.22/1.23 ![X0]: (~l1_struct_0(sK0_skl)|~v1_funct_1(sK3_skl)|~m1_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|m1_subset_1(k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl)))|~sQ32_spl)),
% 5.22/1.23 inference(resolution,[status(thm)],[f698,f80])).
% 5.22/1.23 fof(f1328,definition,(
% 5.22/1.23 ![X0]: (sQ109_spl <=> (m1_subset_1(k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl)))))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1329,plain,(
% 5.22/1.23 ![X0]: (m1_subset_1(k4_pre_topc(sK0_skl,sK1_skl,sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl)))|~sQ109_spl)),
% 5.22/1.23 inference(component_clause,[status(thm)],[f1328])).
% 5.22/1.23 fof(f1331,plain,(
% 5.22/1.23 ~sQ33_spl|~sQ6_spl|~sQ46_spl|sQ109_spl|~sQ32_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f1326,f583,f308,f701,f1328,f545])).
% 5.22/1.23 fof(f1333,plain,(
% 5.22/1.23 ![X0]: (~m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0_skl)))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,X0)|r4_waybel_0(sK0_skl,sK2_skl,k5_relat_1(sK3_skl,sK4_skl),X0)|~v1_finset_1(k9_relat_1(sK3_skl,X0))|~sQ47_spl|~sQ109_spl|~sQ95_spl)),
% 5.22/1.23 inference(backward_subsumption_resolution,[status(thm)],[f1186,f1334])).
% 5.22/1.23 fof(f1334,plain,(
% 5.22/1.23 ![X0]: (m1_subset_1(k9_relat_1(sK3_skl,X0),k1_zfmisc_1(u1_struct_0(sK1_skl)))|~sQ47_spl|~sQ109_spl)),
% 5.22/1.23 inference(forward_demodulation,[status(thm)],[f705,f1329])).
% 5.22/1.23 fof(f1646,plain,(
% 5.22/1.23 ~m1_subset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))|~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))|~v1_finset_1(k9_relat_1(sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl)))|v3_struct_0(sK0_skl)|~l1_orders_2(sK0_skl)|v3_struct_0(sK2_skl)|~l1_orders_2(sK2_skl)|~v1_funct_1(k5_relat_1(sK3_skl,sK4_skl))|~v1_funct_2(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|~m2_relset_1(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|v4_waybel34(k5_relat_1(sK3_skl,sK4_skl),sK0_skl,sK2_skl)|~sQ47_spl|~sQ109_spl|~sQ95_spl),
% 5.22/1.23 inference(resolution,[status(thm)],[f1333,f163])).
% 5.22/1.23 fof(f1647,definition,(
% 5.22/1.23 sQ151_spl <=> (r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1649,plain,(
% 5.22/1.23 ~r4_waybel_0(sK0_skl,sK1_skl,sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))|sQ151_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f1647])).
% 5.22/1.23 fof(f1650,definition,(
% 5.22/1.23 sQ152_spl <=> (v1_finset_1(k9_relat_1(sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1652,plain,(
% 5.22/1.23 ~v1_finset_1(k9_relat_1(sK3_skl,sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl)))|sQ152_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f1650])).
% 5.22/1.23 fof(f1653,definition,(
% 5.22/1.23 sQ153_spl <=> (m2_relset_1(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl)))),
% 5.22/1.23 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 5.22/1.23 fof(f1655,plain,(
% 5.22/1.23 ~m2_relset_1(k5_relat_1(sK3_skl,sK4_skl),u1_struct_0(sK0_skl),u1_struct_0(sK2_skl))|sQ153_spl),
% 5.22/1.23 inference(component_clause,[status(thm)],[f1653])).
% 5.22/1.23 fof(f1656,plain,(
% 5.22/1.23 ~sQ80_spl|~sQ151_spl|~sQ152_spl|sQ14_spl|~sQ15_spl|sQ10_spl|~sQ11_spl|~sQ75_spl|~sQ74_spl|~sQ153_spl|sQ79_spl|~sQ47_spl|~sQ109_spl|~sQ95_spl),
% 5.22/1.23 inference(split_clause,[status(thm)],[f1646,f1075,f1647,f1650,f409,f412,f396,f399,f1011,f1007,f1653,f1072,f704,f1328,f1185])).
% 5.22/1.23 fof(f1657,plain,(
% 5.22/1.23 $false|~sQ68_spl|~sQ50_spl|sQ153_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f1655,f958])).
% 5.22/1.23 fof(f1658,plain,(
% 5.22/1.23 ~sQ68_spl|~sQ50_spl|sQ153_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f1657])).
% 5.22/1.23 fof(f1659,plain,(
% 5.22/1.23 $false|sQ12_spl),
% 5.22/1.23 inference(forward_subsumption_resolution,[status(thm)],[f404,f86])).
% 5.22/1.23 fof(f1660,plain,(
% 5.22/1.23 sQ12_spl),
% 5.22/1.23 inference(contradiction_clause,[status(thm)],[f1659])).
% 5.22/1.23 fof(f2196,plain,(
% 5.22/1.23 v3_struct_0(sK0_skl)|~l1_orders_2(sK0_skl)|v3_struct_0(sK1_skl)|~l1_orders_2(sK1_skl)|~v1_funct_1(sK3_skl)|~v1_funct_2(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|~m2_relset_1(sK3_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))|~v4_waybel34(sK3_skl,sK0_skl,sK1_skl)|~v1_finset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))|~m1_subset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))|sQ151_spl),
% 5.22/1.24 inference(resolution,[status(thm)],[f1649,f160])).
% 5.22/1.24 fof(f2197,plain,(
% 5.22/1.24 sQ14_spl|~sQ15_spl|sQ8_spl|~sQ9_spl|~sQ6_spl|~sQ7_spl|~sQ70_spl|~sQ16_spl|~sQ81_spl|~sQ80_spl|sQ151_spl),
% 5.22/1.24 inference(split_clause,[status(thm)],[f2196,f409,f412,f390,f393,f308,f311,f993,f415,f1079,f1075,f1647])).
% 5.22/1.24 fof(f2198,plain,(
% 5.22/1.24 $false|sQ16_spl),
% 5.22/1.24 inference(forward_subsumption_resolution,[status(thm)],[f417,f85])).
% 5.22/1.24 fof(f2199,plain,(
% 5.22/1.24 sQ16_spl),
% 5.22/1.24 inference(contradiction_clause,[status(thm)],[f2198])).
% 5.22/1.24 fof(f2216,plain,(
% 5.22/1.24 ~v1_relat_1(sK3_skl)|~v1_funct_1(sK3_skl)|~v1_finset_1(sK5_skl(k5_relat_1(sK3_skl,sK4_skl),sK2_skl,sK0_skl))|sQ152_spl),
% 5.22/1.24 inference(resolution,[status(thm)],[f1652,f188])).
% 5.22/1.24 fof(f2218,definition,(
% 5.22/1.24 sQ219_spl <=> (v1_relat_1(sK3_skl))),
% 5.22/1.24 introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition])).
% 5.22/1.24 fof(f2220,plain,(
% 5.22/1.24 ~v1_relat_1(sK3_skl)|sQ219_spl),
% 5.22/1.24 inference(component_clause,[status(thm)],[f2218])).
% 5.22/1.24 fof(f2221,plain,(
% 5.22/1.24 ~sQ219_spl|~sQ6_spl|~sQ81_spl|sQ152_spl),
% 5.22/1.24 inference(split_clause,[status(thm)],[f2216,f2218,f308,f1079,f1650])).
% 5.22/1.24 fof(f2222,plain,(
% 5.22/1.24 $false|sQ219_spl),
% 5.22/1.24 inference(forward_subsumption_resolution,[status(thm)],[f2220,f604])).
% 5.22/1.24 fof(f2223,plain,(
% 5.22/1.24 sQ219_spl),
% 5.22/1.24 inference(contradiction_clause,[status(thm)],[f2222])).
% 5.22/1.24 fof(f2224,plain,(
% 5.22/1.24 $false),
% 5.22/1.24 inference(sat_refutation,[status(thm)],[f295,f297,f299,f316,f318,f423,f425,f427,f429,f548,f550,f588,f710,f721,f723,f729,f747,f806,f939,f955,f999,f1010,f1014,f1018,f1078,f1082,f1084,f1188,f1190,f1331,f1656,f1658,f1660,f2197,f2199,f2221,f2223])).
% 5.22/1.24 % SZS output end CNFRefutation for theBenchmark.p
% 2.42/1.27 % Elapsed time: 0.813688 seconds
% 2.42/1.27 % CPU time: 5.938505 seconds
% 2.42/1.27 % Total memory used: 150.109 MB
% 2.42/1.27 % Net memory used: 147.525 MB
%------------------------------------------------------------------------------