TSTP Solution File: SWW199+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWW199+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:22:06 EDT 2022
% Result : Unknown 14.00s 13.91s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW199+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 03:05:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 13.86/13.82 ----- Otter 3.3f, August 2004 -----
% 13.86/13.82 The process was started by sandbox on n022.cluster.edu,
% 13.86/13.82 Wed Jul 27 03:05:35 2022
% 13.86/13.82 The command was "./otter". The process ID is 10991.
% 13.86/13.82
% 13.86/13.82 set(prolog_style_variables).
% 13.86/13.82 set(auto).
% 13.86/13.82 dependent: set(auto1).
% 13.86/13.82 dependent: set(process_input).
% 13.86/13.82 dependent: clear(print_kept).
% 13.86/13.82 dependent: clear(print_new_demod).
% 13.86/13.82 dependent: clear(print_back_demod).
% 13.86/13.82 dependent: clear(print_back_sub).
% 13.86/13.82 dependent: set(control_memory).
% 13.86/13.82 dependent: assign(max_mem, 12000).
% 13.86/13.82 dependent: assign(pick_given_ratio, 4).
% 13.86/13.82 dependent: assign(stats_level, 1).
% 13.86/13.82 dependent: assign(max_seconds, 10800).
% 13.86/13.82 clear(print_given).
% 13.86/13.82
% 13.86/13.82 formula_list(usable).
% 13.86/13.82 all A (A=A).
% 13.86/13.82 all V_g_2 V_f_2 ((all B_x (hAPP(V_f_2,B_x)=hAPP(V_g_2,B_x)))->V_f_2=V_g_2).
% 13.86/13.82 -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____).
% 13.86/13.82 v_na____!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.86/13.82 v_b!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 13.86/13.82 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.86/13.82 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.86/13.82 all V_z (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.86/13.82 v_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.86/13.82 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,V_a,c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a)))))).
% 13.86/13.82 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_b))).
% 13.86/13.82 all T_a (class_RealVector_Oreal__algebra__1(T_a)->c_RealVector_Oof__real(T_a,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(T_a)).
% 13.86/13.82 all T_a (class_RealVector_Oreal__normed__algebra__1(T_a)->c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.86/13.82 all V_s V_y V_r V_x T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,V_s))))).
% 13.86/13.82 all V_n V_a T_a (class_Fields_Ofield__inverse__zero(T_a)->c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oone__class_Oone(T_a),V_a)),V_n)).
% 13.86/13.82 all V_nb_2 V_ma_2 V_a_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)-> (hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_ma_2)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)<->V_ma_2=V_nb_2))).
% 13.86/13.82 all V_y_2 V_x_2 V_ba_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_ba_2)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_y_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2)))).
% 13.86/13.82 all V_n V_m V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)))).
% 13.86/13.82 all V_a V_N V_n T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))))).
% 13.86/13.82 all V_a T_a (class_Rings_Olinordered__semidom(T_a)->c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a)))).
% 13.86/13.82 all T_a (class_RealVector_Oreal__algebra__1(T_a)->c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all T_a (class_RealVector_Oreal__algebra__1(T_a)&class_RealVector_Oreal__normed__vector(T_a)->c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all T_a (class_RealVector_Oreal__normed__vector(T_a)->c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 13.86/13.82 all V_nb_2 V_x_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.82 all V_x_2 T_a (class_RealVector_Oreal__algebra__1(T_a)-> (c_RealVector_Oof__real(T_a,V_x_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.86/13.82 all V_x_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_RealVector_Onorm__class_Onorm(T_a,V_x_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<->V_x_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.82 all V_nb_2 V_a_2 T_a (class_Power_Opower(T_a)&class_Rings_Omult__zero(T_a)&class_Rings_Ono__zero__divisors(T_a)&class_Rings_Ozero__ne_q__one(T_a)-> (hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a)&V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.82 all V_n V_m V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.82 all T_a (class_Rings_Ozero__ne_q__one(T_a)->c_Groups_Ozero__class_Ozero(T_a)!=c_Groups_Oone__class_Oone(T_a)).
% 13.86/13.82 all T_a (class_Rings_Ozero__ne_q__one(T_a)->c_Groups_Oone__class_Oone(T_a)!=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_a).
% 13.86/13.82 all V_n V_a T_a (class_Rings_Oring__1__no__zero__divisors(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)!=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.82 all V_a T_a (class_Rings_Odivision__ring__inverse__zero(T_a)->c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_y T_a (class_RealVector_Oreal__normed__field(T_a)->c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_a T_a (class_Rings_Odivision__ring(T_a)->c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_n T_a (class_Power_Opower(T_a)&class_Rings_Osemiring__0(T_a)-> (V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n)=c_Groups_Oone__class_Oone(T_a))& (V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n)=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.82 all V_x_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))<->V_x_2!=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c))))).
% 13.86/13.82 all T_a (class_Rings_Olinordered__semidom(T_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a))).
% 13.86/13.82 all T_a (class_Rings_Olinordered__semidom(T_a)-> -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.82 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))).
% 13.86/13.82 all V_c V_a V_b T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c))))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c))))).
% 13.86/13.82 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y))))).
% 13.86/13.82 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.82 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.82 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y))))).
% 13.86/13.82 all V_ba_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)&c_Orderings_Oord__class_Oless(T_a,V_ba_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ba_2))).
% 13.86/13.82 all V_ba_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)&c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless(T_a,V_ba_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.82 all V_a_2 V_ba_2 T_a (class_Rings_Odivision__ring(T_a)-> (V_ba_2!=c_Groups_Ozero__class_Ozero(T_a)-> (c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)=c_Groups_Oone__class_Oone(T_a)<->V_a_2=V_ba_2))).
% 13.86/13.82 all V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a)=c_Groups_Oone__class_Oone(T_a))).
% 13.86/13.82 all V_a T_a (class_Rings_Odivision__ring__inverse__zero(T_a)-> (V_a=c_Groups_Ozero__class_Ozero(T_a)->c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a)=c_Groups_Ozero__class_Ozero(T_a))& (V_a!=c_Groups_Ozero__class_Ozero(T_a)->c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a)=c_Groups_Oone__class_Oone(T_a))).
% 13.86/13.82 all V_n V_a V_b T_a (class_Fields_Ofield(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)),V_n)=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))).
% 13.86/13.82 all V_a T_a (class_Power_Opower(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(T_a)).
% 13.86/13.82 all V_a V_b T_a (class_RealVector_Oreal__normed__field(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)))).
% 13.86/13.82 all T_a (class_Rings_Olinordered__semidom(T_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a)))).
% 13.86/13.82 all V_a V_N V_n T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))))).
% 13.86/13.82 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 13.86/13.82 all V_n V_x (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,V_x)),V_n)=c_RealVector_Oof__real(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n))).
% 13.86/13.82 all V_y V_x T_a (class_Rings_Olinordered__idom(T_a)-> (V_x!=V_y-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))).
% 13.86/13.82 all V_y_2 V_x_2 T_a (class_RealVector_Oreal__algebra__1(T_a)-> (c_RealVector_Oof__real(T_a,V_x_2)=c_RealVector_Oof__real(T_a,V_y_2)<->V_x_2=V_y_2)).
% 13.86/13.82 all V_n T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)=c_Groups_Oone__class_Oone(T_a)).
% 13.86/13.82 all V_ya V_y V_x T_a (class_RealVector_Oreal__normed__field(T_a)->c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y),V_ya)=c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_ya),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_ya))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Odivision__ring(T_a)->c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c)=c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c))).
% 13.86/13.82 all V_a T_a (class_Rings_Odivision__ring(T_a)->c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a).
% 13.86/13.82 all V_ya V_y V_x T_a (class_RealVector_Oreal__normed__field(T_a)->c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,V_y),V_ya)=c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_ya),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_ya))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Odivision__ring(T_a)->c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_c)=c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c))).
% 13.86/13.82 all V_n V_b V_a T_a (class_Fields_Ofield__inverse__zero(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)),V_n)=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))).
% 13.86/13.82 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))=c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a))).
% 13.86/13.82 all V_n V_x T_a (class_RealVector_Oreal__normed__div__algebra(T_a)->c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n)).
% 13.86/13.82 all V_b V_a T_a (class_Fields_Ofield__inverse__zero(T_a)&class_RealVector_Oreal__normed__field(T_a)->c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))).
% 13.86/13.82 all V_y V_x T_a (class_RealVector_Oreal__algebra__1(T_a)&class_RealVector_Oreal__normed__vector(T_a)->c_RealVector_Oof__real(T_a,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y))=c_Groups_Oplus__class_Oplus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y))).
% 13.86/13.82 all V_y V_x T_a (class_RealVector_Oreal__algebra__1(T_a)->c_RealVector_Oof__real(T_a,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y))=c_Groups_Oplus__class_Oplus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y))).
% 13.86/13.82 all V_y V_x T_a (class_RealVector_Oreal__algebra__1(T_a)&class_RealVector_Oreal__normed__vector(T_a)->c_RealVector_Oof__real(T_a,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y))=c_Groups_Ominus__class_Ominus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y))).
% 13.86/13.82 all V_y V_x T_a (class_RealVector_Oreal__algebra__1(T_a)->c_RealVector_Oof__real(T_a,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y))=c_Groups_Ominus__class_Ominus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y))).
% 13.86/13.82 all V_n V_x T_a (class_RealVector_Oreal__algebra__1(T_a)->c_RealVector_Oof__real(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_RealVector_Oof__real(T_a,V_x)),V_n)).
% 13.86/13.82 all V_y V_x T_a (class_Fields_Ofield__inverse__zero(T_a)&class_RealVector_Oreal__field(T_a)->c_RealVector_Oof__real(T_a,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,V_y))=c_Rings_Oinverse__class_Odivide(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y))).
% 13.86/13.82 all B_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,v_na____)-> (B_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)-> (exists B_z c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),B_m)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))).
% 13.86/13.82 all V_nb_2 V_x_2 T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2))<->V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)&V_x_2!=c_Groups_Ozero__class_Ozero(T_a)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)&c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2))).
% 13.86/13.82 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.82 all V_nb_2 V_x_2 T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2),c_Groups_Ozero__class_Ozero(T_a))<-> -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)&c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.82 all V_y_2 V_x_2 (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_y_2))<->c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_y_2)).
% 13.86/13.82 all V_n (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_n)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)).
% 13.86/13.82 all V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(T_a)).
% 13.86/13.82 all V_ba_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.82 c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____)-> (exists B_z c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),v_na____)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.86/13.82 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.82 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))))).
% 13.86/13.82 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.82 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry))).
% 13.86/13.82 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry))).
% 13.86/13.82 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)))).
% 13.86/13.82 all V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly)).
% 13.86/13.82 all V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Groups_Oab__semigroup__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))).
% 13.86/13.82 all V_ry V_rx V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry)).
% 13.86/13.82 all V_ry V_rx V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)).
% 13.86/13.82 all V_y V_x T_a (class_RealVector_Oreal__normed__div__algebra(T_a)->c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y))).
% 13.86/13.82 all V_y V_x T_a (class_RealVector_Oreal__algebra__1(T_a)->c_RealVector_Oof__real(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_RealVector_Oof__real(T_a,V_x)),c_RealVector_Oof__real(T_a,V_y))).
% 13.86/13.82 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_z V_y V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Oplus__class_Oplus(T_a,V_y,V_z))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z))).
% 13.86/13.82 all V_d_2 V_c_2 V_ba_2 V_a_2 T_a (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)-> (V_a_2!=V_ba_2&V_c_2!=V_d_2<->c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_d_2))!=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2)))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))).
% 13.86/13.82 all V_b V_m V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_m)).
% 13.86/13.82 all V_z_2 V_x_2 V_y_2 V_w_2 T_a (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))<->V_w_2=V_x_2|V_y_2=V_z_2)).
% 13.86/13.82 all V_n V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)-> (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->V_m=V_n)).
% 13.86/13.82 all V_m V_n (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.82 all V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.82 all V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m).
% 13.86/13.82 all V_n (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.82 all V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a).
% 13.86/13.82 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a).
% 13.86/13.82 all V_a T_a (class_Groups_Ocomm__monoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a).
% 13.86/13.82 all V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a).
% 13.86/13.82 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a).
% 13.86/13.82 all V_a T_a (class_Groups_Ocomm__monoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a).
% 13.86/13.82 all V_l V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)))).
% 13.86/13.82 all V_n V_k V_j (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k)).
% 13.86/13.82 all V_n V_m (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=V_m).
% 13.86/13.82 all V_k_2 V_j_2 V_i_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2)).
% 13.86/13.82 all V_q V_y V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q))).
% 13.86/13.82 all V_q V_p V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_p,V_q))).
% 13.86/13.82 all V_s V_y V_r V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s))))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Ono__zero__divisors(T_a)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=c_Groups_Ozero__class_Ozero(T_a)->V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Ono__zero__divisors(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)!=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.82 all V_ba_2 V_a_2 T_a (class_Rings_Oring__no__zero__divisors(T_a)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.82 all V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_a T_a (class_Rings_Omult__zero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_y T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_b T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_a T_a (class_Rings_Omult__zero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.82 all V_b_H V_b V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_b_H))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H))).
% 13.86/13.82 all V_y V_x V_xa T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Ocomm__semiring(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))).
% 13.86/13.82 all V_b V_a_H V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_a_H)),V_b)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b))).
% 13.86/13.82 all V_ya V_y V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),V_ya)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya))).
% 13.86/13.82 all V_c V_b V_e V_a T_a (class_Rings_Osemiring(T_a)->c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e),V_c))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_e),V_c)).
% 13.86/13.82 all V_b_H V_b V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_b,V_b_H))=c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H))).
% 13.86/13.82 all V_y V_x V_xa T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y))=c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y))).
% 13.86/13.82 all V_b V_a_H V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a,V_a_H)),V_b)=c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b))).
% 13.86/13.82 all V_ya V_y V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),V_ya)=c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya))).
% 13.86/13.82 all V_n V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 13.86/13.82 all V_n V_b V_a T_a (class_Groups_Ocomm__monoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))).
% 13.86/13.82 all V_n V_m V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Odivision__ring(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c))=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c)).
% 13.86/13.82 all V_w V_z V_y V_x T_a (class_Fields_Ofield__inverse__zero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)),c_Rings_Oinverse__class_Odivide(T_a,V_z,V_w))=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w))).
% 13.86/13.82 all V_d V_c V_b V_a V_r T_a (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)-> (V_r!=c_Groups_Ozero__class_Ozero(T_a)-> (V_a=V_b&V_c!=V_d->c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c))!=c_Groups_Oplus__class_Oplus(T_a,V_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d))))).
% 13.86/13.82 all V_m T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_m,V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_m)).
% 13.86/13.82 all V_a V_m T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m)).
% 13.86/13.82 all V_m V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m)).
% 13.86/13.82 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m))).
% 13.86/13.82 all V_ma_2 V_nb_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_ma_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)).
% 13.86/13.82 all V_ba_2 V_a_2 V_P_2 (hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))<-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_ba_2)->hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))& (all B_d (V_a_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ba_2,B_d)->hBOOL(hAPP(V_P_2,B_d))))).
% 13.86/13.82 all V_ba_2 V_a_2 V_P_2 (hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))<-> -(c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_ba_2)& -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| (exists B_d (V_a_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ba_2,B_d)& -hBOOL(hAPP(V_P_2,B_d)))))).
% 13.86/13.82 all V_y_2 V_x_2 (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_x_2,V_y_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)&c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)& -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2)).
% 13.86/13.82 all V_c V_a V_b T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 13.86/13.82 all V_c V_a V_b T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Olinordered__comm__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 13.86/13.82 all V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.82 all V_ba_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))<->c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2)))).
% 13.86/13.82 all V_a V_b T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.82 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))))).
% 13.86/13.82 all V_ba_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)))).
% 13.86/13.82 all V_ba_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)&c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2))).
% 13.86/13.82 all V_ba_2 V_c_2 V_a_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)&c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2))).
% 13.86/13.82 all V_a T_a (class_Rings_Olinordered__ring(T_a)-> -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a),c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.82 all V_n V_m T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))))).
% 13.86/13.82 all V_b V_a V_y V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)))).
% 13.86/13.82 all V_d_2 V_ba_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oring(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)<->V_c_2=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2))).
% 13.86/13.82 all V_d_2 V_ba_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oring(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)<->c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2)=V_d_2)).
% 13.86/13.82 all V_b V_a V_c T_a (class_Rings_Odivision__ring(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)=V_b->V_a=c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)))).
% 13.86/13.82 all V_a V_b V_c T_a (class_Rings_Odivision__ring(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)->c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)=V_a))).
% 13.86/13.82 all V_w_2 V_x_2 V_z_2 V_y_2 T_a (class_Fields_Ofield(T_a)-> (V_y_2!=c_Groups_Ozero__class_Ozero(T_a)-> (V_z_2!=c_Groups_Ozero__class_Ozero(T_a)-> (c_Rings_Oinverse__class_Odivide(T_a,V_x_2,V_y_2)=c_Rings_Oinverse__class_Odivide(T_a,V_w_2,V_z_2)<->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2))))).
% 13.86/13.82 all V_b V_a V_c T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)->c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b))).
% 13.86/13.82 all V_b V_a V_c T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)->c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))=c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b))).
% 13.86/13.82 all V_a_2 V_ba_2 V_c_2 T_a (class_Rings_Odivision__ring(T_a)-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)-> (c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=V_a_2<->V_ba_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))).
% 13.86/13.82 all V_ba_2 V_a_2 V_c_2 T_a (class_Rings_Odivision__ring(T_a)-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)-> (V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)<->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)=V_ba_2))).
% 13.86/13.82 all V_a_2 V_c_2 V_ba_2 T_a (class_Fields_Ofield__inverse__zero(T_a)-> (c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=V_a_2<-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)->V_ba_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))& (V_c_2=c_Groups_Ozero__class_Ozero(T_a)->V_a_2=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.82 all V_c_2 V_ba_2 V_a_2 T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)<-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)=V_ba_2)& (V_c_2=c_Groups_Ozero__class_Ozero(T_a)->V_a_2=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.82 all V_nb_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)-> (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)<-> -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,c_Groups_Oone__class_Oone(tc_Nat_Onat))))).
% 13.86/13.82 all V_x T_a (class_RealVector_Oreal__normed__vector(T_a)-> -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.86/13.82 all V_x V_y T_a (class_RealVector_Oreal__field(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)->c_RealVector_Oof__real(T_a,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,V_y))=c_Rings_Oinverse__class_Odivide(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)))).
% 13.86/13.82 all V_d_2 V_ba_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2))<->c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2)))).
% 13.86/13.82 all V_d_2 V_ba_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2),V_d_2))).
% 13.86/13.82 all V_c_2 V_ba_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.82 all V_a_2 V_c_2 V_ba_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))))).
% 13.86/13.82 all V_ba_2 V_a_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))<->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)))).
% 13.86/13.82 all V_a_2 V_ba_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)<->c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))))).
% 13.86/13.82 all V_z V_x V_y T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (c_Orderings_Oord__class_Oless(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),V_z)))).
% 13.86/13.83 all V_x V_z V_y T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y),V_x)->c_Orderings_Oord__class_Oless(T_a,V_z,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y))))).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))<->c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))))).
% 13.86/13.83 all V_a_2 V_ba_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)<->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)))).
% 13.86/13.83 all V_c V_a V_b T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_c,V_a),c_Rings_Oinverse__class_Odivide(T_a,V_c,V_b)))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_c,V_a),c_Rings_Oinverse__class_Odivide(T_a,V_c,V_b)))))).
% 13.86/13.83 all V_x V_z V_y T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_z,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_y))).
% 13.86/13.83 all V_y V_x V_z T_a (class_Fields_Ofield(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_x,c_Rings_Oinverse__class_Odivide(T_a,V_y,V_z))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x),V_y),V_z))).
% 13.86/13.83 all V_z V_x V_y T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),V_z)=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_y))).
% 13.86/13.83 all V_y V_x V_z T_a (class_Fields_Ofield(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),V_y)=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_z))).
% 13.86/13.83 all V_w V_x V_z V_y T_a (class_Fields_Ofield(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Rings_Oinverse__class_Odivide(T_a,V_w,V_z))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z))))).
% 13.86/13.83 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 13.86/13.83 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 13.86/13.83 all V_y V_x V_z T_a (class_Fields_Ofield(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->c_Groups_Ominus__class_Ominus(T_a,V_x,c_Rings_Oinverse__class_Odivide(T_a,V_y,V_z))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x),V_y),V_z))).
% 13.86/13.83 all V_y V_x V_z T_a (class_Fields_Ofield(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),V_y)=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_z))).
% 13.86/13.83 all V_w V_x V_z V_y T_a (class_Fields_Ofield(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Rings_Oinverse__class_Odivide(T_a,V_w,V_z))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z))))).
% 13.86/13.83 all V_x_2 T_a (class_Groups_Ozero(T_a)-> (c_Groups_Ozero__class_Ozero(T_a)=V_x_2<->V_x_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_c V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)=c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)).
% 13.86/13.83 all V_d V_c V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))=c_Groups_Oplus__class_Oplus(T_a,V_c,c_Groups_Oplus__class_Oplus(T_a,V_a,V_d))).
% 13.86/13.83 all V_d V_c V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_d)).
% 13.86/13.83 all V_c V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c)=c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Oab__semigroup__add(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c)=c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c)=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_b)).
% 13.86/13.83 all V_c_2 V_ba_2 V_a_2 T_a (class_Groups_Ocancel__semigroup__add(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ba_2)=c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2)<->V_ba_2=V_c_2)).
% 13.86/13.83 all V_c_2 V_a_2 V_ba_2 T_a (class_Groups_Ocancel__semigroup__add(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_a_2)=c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2)<->V_ba_2=V_c_2)).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Ocancel__semigroup__add(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)=c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)->V_b=V_c)).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Ocancel__ab__semigroup__add(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)=c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)->V_b=V_c)).
% 13.86/13.83 all V_c V_a V_b T_a (class_Groups_Ocancel__semigroup__add(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,V_b,V_a)=c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)->V_b=V_c)).
% 13.86/13.83 all V_x_2 T_a (class_Groups_Oone(T_a)-> (c_Groups_Oone__class_Oone(T_a)=V_x_2<->V_x_2=c_Groups_Oone__class_Oone(T_a))).
% 13.86/13.83 all V_d_2 V_c_2 V_ba_2 V_a_2 T_a (class_Groups_Oab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (V_a_2=V_ba_2<->V_c_2=V_d_2))).
% 13.86/13.83 all V_n V_m (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=V_m->V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_m (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m).
% 13.86/13.83 all V_n (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)=V_n).
% 13.86/13.83 all V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_x).
% 13.86/13.83 all V_P_2 V_nb_2 V_ma_2 ((c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)->hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_ma_2)))-> ((V_ma_2=V_nb_2->hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_ma_2)))-> ((c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)->hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_ma_2)))->hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_ma_2))))).
% 13.86/13.83 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k)).
% 13.86/13.83 all V_n V_m V_l V_k (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)-> (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.83 all V_l V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)))).
% 13.86/13.83 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k))).
% 13.86/13.83 all V_m V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j))).
% 13.86/13.83 all V_m V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m))).
% 13.86/13.83 all V_t V_s (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)->V_s!=V_t).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)->V_m!=V_n).
% 13.86/13.83 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n)).
% 13.86/13.83 all V_y V_x (V_x!=V_y-> (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)).
% 13.86/13.83 all V_nb_2 V_ma_2 (V_ma_2!=V_nb_2<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)).
% 13.86/13.83 all V_i V_j (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_i)).
% 13.86/13.83 all V_j V_i (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_i)).
% 13.86/13.83 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n)).
% 13.86/13.83 -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.86/13.83 all V_nb_2 V_ma_2 (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))<-> (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)<-> -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2))).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))<-> (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)<->c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2))).
% 13.86/13.83 all V_y_2 V_x_2 (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x_2,V_y_2))<->c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)&c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)& -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2)).
% 13.86/13.83 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 13.86/13.83 all V_a T_a (class_Groups_Omonoid__add(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a).
% 13.86/13.83 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a).
% 13.86/13.83 all V_a T_a (class_Groups_Ocomm__monoid__add(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a).
% 13.86/13.83 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Groups_Ozero__class_Ozero(T_a)=c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_a T_a (class_Groups_Omonoid__add(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a).
% 13.86/13.83 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a).
% 13.86/13.83 all V_a T_a (class_Groups_Ocomm__monoid__add(T_a)->c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a).
% 13.86/13.83 all V_a_2 V_ba_2 T_a (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)-> (V_ba_2=c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_a_2)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_ba_2 V_c_2 V_a_2 T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_c_2))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2))).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_ba_2))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d))))).
% 13.86/13.83 all V_b V_c V_a T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b))).
% 13.86/13.83 all V_b V_a V_c T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b))).
% 13.86/13.83 all V_a T_a (class_Groups_Ogroup__add(T_a)->c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a).
% 13.86/13.83 all V_a T_a (class_Groups_Ogroup__add(T_a)->c_Groups_Ominus__class_Ominus(T_a,V_a,V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.83 all V_ba_2 V_a_2 T_a (class_Groups_Oab__group__add(T_a)-> (V_a_2=V_ba_2<->c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_ba_2 V_a_2 T_a (class_Groups_Ogroup__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=V_ba_2)).
% 13.86/13.83 all V_d_2 V_c_2 V_ba_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)<->c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2)))).
% 13.86/13.83 all V_b V_a T_a (class_Groups_Ogroup__add(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b)=V_a).
% 13.86/13.83 all V_b V_a T_a (class_Groups_Ogroup__add(T_a)->c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b)=V_a).
% 13.86/13.83 all V_n (V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 all V_nb_2 V_x_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_nb_2))<->V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)).
% 13.86/13.83 all V_nb_2 (V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)).
% 13.86/13.83 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))).
% 13.86/13.83 all V_x V_n T_a (class_Groups_Omonoid__mult(T_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))).
% 13.86/13.83 all V_m V_n T_a (class_Power_Opower(T_a)-> (V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n)=c_Groups_Oone__class_Oone(T_a))& (V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))).
% 13.86/13.83 all V_h V_d V_c V_b V_a T_a (class_RealVector_Oreal__field(T_a)->c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d)),V_h)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d),V_h)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c),V_h)),V_d))).
% 13.86/13.83 all V_x T_a (class_Rings_Oring__1(T_a)->c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),c_Groups_Oone__class_Oone(T_a))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))),c_Groups_Ominus__class_Ominus(T_a,V_x,c_Groups_Oone__class_Oone(T_a)))).
% 13.86/13.83 all V_y V_x T_a (class_Rings_Olinordered__ring(T_a)-> -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))<->V_x_2!=c_Groups_Ozero__class_Ozero(T_a)|V_y_2!=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_b V_a V_y V_x T_a (class_Rings_Oring(T_a)->c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(T_a)<->V_x_2=c_Groups_Ozero__class_Ozero(T_a)&V_y_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_a_2 T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 c_Complex_Oii!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 13.86/13.83 all V_n V_m (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)).
% 13.86/13.83 all V_z V_y V_x (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,V_z))).
% 13.86/13.83 all V_z V_y V_x (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z))).
% 13.86/13.83 all V_n V_m V_k (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))).
% 13.86/13.83 all V_n V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n)=V_m).
% 13.86/13.83 all V_m V_n (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n)=V_m).
% 13.86/13.83 all V_k V_n V_m (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_k)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k))).
% 13.86/13.83 all V_k V_j V_i (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k))).
% 13.86/13.83 all V_k V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)),V_k)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2)<->V_ma_2=V_nb_2).
% 13.86/13.83 all V_nb_2 V_k_2 V_ma_2 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_k_2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_nb_2,V_k_2)<->V_ma_2=V_nb_2).
% 13.86/13.83 all V_n V_m V_k (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)).
% 13.86/13.83 all V_n V_k V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)).
% 13.86/13.83 all V_k V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_k)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k))).
% 13.86/13.83 all V_k V_j V_i (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_k),V_j)).
% 13.86/13.83 all V_z3 V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3))).
% 13.86/13.83 all V_n V_m V_k (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))).
% 13.86/13.83 all V_w V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z)).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 (V_c_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_ba_2)<->V_a_2=V_ba_2)).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 (V_c_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_c_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ba_2),V_c_2)<->V_a_2=V_ba_2)).
% 13.86/13.83 all V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z)=V_z).
% 13.86/13.83 all V_w V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z1,V_z2)),V_w)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w))).
% 13.86/13.83 all V_n (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_nb_2 V_ma_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)<->V_ma_2=V_nb_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_nb_2 V_k_2 V_ma_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)<->V_ma_2=V_nb_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_n V_m V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n)).
% 13.86/13.83 all V_q V_p V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q))).
% 13.86/13.83 all V_nb_2 V_ma_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)<->V_ma_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)&V_nb_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.86/13.83 all V_n (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_n).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)<->V_ma_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)&V_nb_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.86/13.83 all V_n (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)=V_n).
% 13.86/13.83 all V_y_2 V_x_2 (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_y_2))<->c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2)).
% 13.86/13.83 all V_y V_x V_z (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)))).
% 13.86/13.83 all V_y V_x (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)))).
% 13.86/13.83 all V_y_2 V_x_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))<->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2))).
% 13.86/13.83 all V_n V_m ((V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))& (V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)))).
% 13.86/13.83 all V_y_2 V_x_2 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<->V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)&V_y_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 13.86/13.83 all V_ba_2 V_a_2 V_f_2 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_f_2,V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_f_2,V_ba_2),hAPP(V_f_2,V_a_2)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_ba_2,V_a_2))),V_a_2))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_f_2,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_f_2,V_ba_2),hAPP(V_f_2,V_a_2)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_ba_2,V_a_2))),V_ba_2))).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)).
% 13.86/13.83 all V_nb_2 V_k_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)).
% 13.86/13.83 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)))).
% 13.86/13.83 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)))).
% 13.86/13.83 all V_n V_m (V_m=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)->V_n=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_p V_m ((V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m)=c_Groups_Oone__class_Oone(tc_Nat_Onat))& (V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))).
% 13.86/13.83 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_d V_b V_c V_a T_a (class_Groups_Oab__group__add(T_a)->c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(T_a,V_c,V_d))).
% 13.86/13.83 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.86/13.83 c_Complex_Oii!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex).
% 13.86/13.83 all V_x_2 (-c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2))<->V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 13.86/13.83 all T_a (class_Power_Opower(T_a)->c_Power_Opower__class_Opower(T_a)=c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a))).
% 13.86/13.83 all V_a V_r (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_r))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_a,V_r)).
% 13.86/13.83 all V_z V_y V_x (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z))).
% 13.86/13.83 all V_y V_z V_x (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)<->V_ma_2=V_nb_2)).
% 13.86/13.83 all V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)=V_z).
% 13.86/13.83 all V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint))=V_z).
% 13.86/13.83 all V_z2 V_z1 V_w (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2))).
% 13.86/13.83 all V_z V_y V_x (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z))).
% 13.86/13.83 all V_w V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)),V_w)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w))).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_nb_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)<->V_ma_2=c_Groups_Oone__class_Oone(tc_Int_Oint)&V_nb_2=c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 13.86/13.83 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)->c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j)))).
% 13.86/13.83 all V_w V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)),V_w)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w))).
% 13.86/13.83 all V_z3 V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3))).
% 13.86/13.83 all V_k V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k))).
% 13.86/13.83 all V_z2 V_z1 V_w (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2))).
% 13.86/13.83 all V_w V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)).
% 13.86/13.83 all V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)).
% 13.86/13.83 all V_a_2 V_times_2 V_one_2 T_a (hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_one_2).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)<->V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=V_nb_2).
% 13.86/13.83 all V_k V_j V_u V_i (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_k))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j)),V_u),V_k)).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2))).
% 13.86/13.83 all V_a V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)-> (exists B_x (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_x)&hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_x),V_n)=V_a& (all B_y (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_y)&hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_y),V_n)=V_a->B_y=B_x)))))).
% 13.86/13.83 all V_a V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)-> (exists B_r (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)&hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_r),V_n)=V_a)))).
% 13.86/13.83 c_Complex_Oexpi(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex).
% 13.86/13.83 all V_b V_a (c_Complex_Oexpi(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_a,V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(V_a)),c_Complex_Oexpi(V_b))).
% 13.86/13.83 all V_b V_r2 V_a V_r1 (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Complex_Orcis(V_r1,V_a),c_Complex_Orcis(V_r2,V_b))=c_Complex_Orcis(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_r1,V_r2),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_a,V_b))).
% 13.86/13.83 all V_w V_z (c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z)).
% 13.86/13.83 all V_y V_x (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x)).
% 13.86/13.83 all V_z V_y V_x (c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,V_z))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_z))).
% 13.86/13.83 all V_z3 V_z2 V_z1 (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2),V_z3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z2,V_z3))).
% 13.86/13.83 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_j,V_k))).
% 13.86/13.83 all V_z_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.86/13.83 all V_z_2 V_w_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)|V_w_2=V_z_2).
% 13.86/13.83 all V_l_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)<->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.86/13.83 all V_z (c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=V_z).
% 13.86/13.83 all V_z (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)=V_z).
% 13.86/13.83 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 13.86/13.83 all V_z (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z),V_z)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.86/13.83 c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.86/13.83 all V_r (c_Complex_Orcis(V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_RealVector_Oof__real(tc_Complex_Ocomplex,V_r)).
% 13.86/13.83 all V_a (c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)).
% 13.86/13.83 all V_b V_r2 V_a V_r1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(V_r1,V_a)),c_Complex_Orcis(V_r2,V_b))=c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r1),V_r2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a,V_b))).
% 13.86/13.83 all V_a V_r (c_Complex_Orcis(V_r,V_a)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,V_r)),c_Complex_Ocis(V_a))).
% 13.86/13.83 all V_w_2 V_x_2 T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))<->c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))&V_x_2!=c_Groups_Ozero__class_Ozero(T_a)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))&c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2))).
% 13.86/13.83 all V_n V_b V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))))).
% 13.86/13.83 all V_y V_x T_a (class_Rings_Ocomm__ring__1(T_a)->c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y))).
% 13.86/13.83 all V_v V_u V_y V_a V_x T_a (class_Rings_Olinordered__semiring__1__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_u))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_v))-> (c_Groups_Oplus__class_Oplus(T_a,V_u,V_v)=c_Groups_Oone__class_Oone(T_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a))))))).
% 13.86/13.83 all V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))).
% 13.86/13.83 all V_n c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)).
% 13.86/13.83 all V_n c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)).
% 13.86/13.83 all V_nb_2 V_ma_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_ma_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_nb_2))).
% 13.86/13.83 all V_b V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))->V_a=V_b)))).
% 13.86/13.83 all V_b V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n))))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))))).
% 13.86/13.83 all V_a V_N V_n T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_N))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a)),V_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)))))).
% 13.86/13.83 all V_m V_j V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)),V_m)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_j),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m))).
% 13.86/13.83 all V_m V_j V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Nat_OSuc(V_j))).
% 13.86/13.83 all V_n V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))).
% 13.86/13.83 all V_ma_2 V_nb_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),V_ma_2))).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))).
% 13.86/13.83 all V_nb_2 V_ma_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_ma_2)),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_m)),V_n))).
% 13.86/13.83 all V_nb_2 V_ma_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2))<->V_nb_2=V_ma_2)).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_m)),V_n))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)).
% 13.86/13.83 all V_w_2 V_v_2 T_a (class_Int_Onumber(T_a)&class_Orderings_Olinorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))<-> -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Int_Onumber__class_Onumber__of(T_a,V_v_2)))).
% 13.86/13.83 all V_m V_n (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.83 all V_x_2 V_w_2 T_a (class_Int_Onumber(T_a)-> (c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=V_x_2<->V_x_2=c_Int_Onumber__class_Onumber__of(T_a,V_w_2))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Int_Onumber__ring(T_a)&class_Int_Oring__char__0(T_a)-> (c_Int_Onumber__class_Onumber__of(T_a,V_x_2)=c_Int_Onumber__class_Onumber__of(T_a,V_y_2)<->V_x_2=V_y_2)).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Int_Onumber__ring(T_a)&class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2)),c_Int_Onumber__class_Onumber__of(T_a,V_y_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_x_2),V_y_2)))).
% 13.86/13.83 all V_w T_a (class_Int_Onumber__ring(T_a)&class_RealVector_Oreal__algebra__1(T_a)->c_RealVector_Oof__real(T_a,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w))=c_Int_Onumber__class_Onumber__of(T_a,V_w)).
% 13.86/13.83 all V_n (V_n!=c_Nat_OSuc(V_n)).
% 13.86/13.83 all V_n (c_Nat_OSuc(V_n)!=V_n).
% 13.86/13.83 all V_n (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_n)),V_n))).
% 13.86/13.83 all V_nb_2 V_ma_2 (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),V_ma_2))).
% 13.86/13.83 all V_nb_2 V_ma_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),c_Nat_OSuc(V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|V_ma_2=c_Nat_OSuc(V_nb_2)).
% 13.86/13.83 all V_nat_H_2 V_nat_2 (c_Nat_OSuc(V_nat_2)=c_Nat_OSuc(V_nat_H_2)<->V_nat_2=V_nat_H_2).
% 13.86/13.83 all V_ma_2 V_nb_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),c_Nat_OSuc(V_ma_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2))).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Nat_OSuc(V_n)))).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Nat_OSuc(V_n)))-> (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))->V_m=c_Nat_OSuc(V_n))).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_m)),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))).
% 13.86/13.83 all V_y V_x (c_Nat_OSuc(V_x)=c_Nat_OSuc(V_y)->V_x=V_y).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))).
% 13.86/13.83 all V_ba_2 V_c_2 V_a_2 T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2)),c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_c_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2)))).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2)),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2)))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Oordered__ab__semigroup__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Oordered__ab__semigroup__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Groups_Oordered__ab__semigroup__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)))))).
% 13.86/13.83 all V_b V_c V_a T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b)))).
% 13.86/13.83 all V_b V_a V_c T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b)))).
% 13.86/13.83 all V_m (c_Nat_OSuc(V_m)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_m (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(V_m)).
% 13.86/13.83 all V_nat_H_1 (c_Nat_OSuc(V_nat_H_1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_m (c_Nat_OSuc(V_m)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_nat_H (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(V_nat_H)).
% 13.86/13.83 all V_m (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(V_m)).
% 13.86/13.83 all V_d_2 V_c_2 V_ba_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),V_d_2))))).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))-> (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->V_m=V_n)).
% 13.86/13.83 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k))).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)-> (c_Nat_OSuc(V_m)!=V_n->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n))).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))).
% 13.86/13.83 all V_m V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m))->V_m=V_n)).
% 13.86/13.83 all V_ma_2 V_nb_2 (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2))<->V_nb_2=V_ma_2)).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),c_Nat_OSuc(V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2=V_nb_2).
% 13.86/13.83 all V_nb_2 V_ma_2 (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2))).
% 13.86/13.83 all V_n V_m (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))).
% 13.86/13.83 all V_n V_m (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.83 all V_n V_m (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.83 all V_nb_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))<->V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2)<->V_ma_2=V_nb_2).
% 13.86/13.83 all V_n V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)).
% 13.86/13.83 all V_k V_n V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n),c_Nat_OSuc(V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_k)).
% 13.86/13.83 all V_y V_x (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),V_y))).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|V_m=V_n->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))-> (V_m!=V_n->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))).
% 13.86/13.83 all V_nb_2 V_ma_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2=V_nb_2).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))&V_ma_2!=V_nb_2).
% 13.86/13.83 all V_y_2 V_x_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))&V_x_2!=V_y_2).
% 13.86/13.83 all V_y_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))<->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2).
% 13.86/13.83 all V_y V_z V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),V_z))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)))).
% 13.86/13.83 all V_z V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)))).
% 13.86/13.83 all V_n V_k V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k)),V_n))-> -(hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))-> -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_n)))).
% 13.86/13.83 all V_n V_k V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k)),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))).
% 13.86/13.83 all V_n V_k V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k)),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_n))).
% 13.86/13.83 all V_l V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_l))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l))))).
% 13.86/13.83 all V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)))).
% 13.86/13.83 all V_m V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)))).
% 13.86/13.83 all V_m V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))).
% 13.86/13.83 all V_nb_2 V_ma_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))<-> (exists B_k (V_nb_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k)))).
% 13.86/13.83 all V_m V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m))).
% 13.86/13.83 all V_m V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.83 all V_w_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2),V_w_2))&V_z_2!=V_w_2).
% 13.86/13.83 all V_l V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_l))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))))).
% 13.86/13.83 all V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)))).
% 13.86/13.83 all V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)))).
% 13.86/13.83 all V_m hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))).
% 13.86/13.83 all V_m hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))).
% 13.86/13.83 all V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i),V_j))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_i)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_j)))).
% 13.86/13.83 all V_n V_m hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_m)).
% 13.86/13.83 all V_l V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)))).
% 13.86/13.83 all V_l V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_l)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_l)))).
% 13.86/13.83 all V_n V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_n))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i))=V_i).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))-> (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2)<->V_ma_2=V_nb_2))).
% 13.86/13.83 all V_n V_m V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_m))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_n))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))))).
% 13.86/13.83 all V_z V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_x)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_y)))).
% 13.86/13.83 all V_x_2 (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Nat_OSuc(V_x_2))<-> -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)).
% 13.86/13.83 all V_n V_r T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_r))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_r),c_Groups_Oone__class_Oone(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_r),c_Nat_OSuc(V_n))),V_r))))).
% 13.86/13.83 all V_a V_N V_n T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_N))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Oone__class_Oone(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))))).
% 13.86/13.83 all V_y_2 V_x_2 V_ba_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_ba_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_y_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x_2),V_y_2))))).
% 13.86/13.83 all V_n V_m V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))))).
% 13.86/13.83 all V_y V_n V_p T_a (class_Groups_Omonoid__mult(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_p),V_n))->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),V_p))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_p))),V_y))).
% 13.86/13.83 all V_w_2 V_x_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))))<->c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2)))).
% 13.86/13.83 all V_nb_2 V_a_2 V_times_2 V_one_2 T_a (hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Nat_OSuc(V_nb_2))=hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),V_nb_2))).
% 13.86/13.83 all V_a_2 V_w_2 V_ba_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))-> (c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2)))& (-c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)))))).
% 13.86/13.83 all V_w_2 V_c_2 V_ba_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2)))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))))).
% 13.86/13.83 all V_c_2 V_ba_2 V_w_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2)))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))))))).
% 13.86/13.83 all V_w_2 V_ba_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2)))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))-> (c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))))& (-c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))))))).
% 13.86/13.83 all V_w_2 V_x_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))),c_Groups_Ozero__class_Ozero(T_a)))<->c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)& (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))&V_x_2=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_v (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))->c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 13.86/13.83 all V_c V_b V_v T_b (class_Int_Onumber(T_b)&class_Rings_Osemiring(T_b)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),c_Groups_Oplus__class_Oplus(T_b,V_b,V_c))=c_Groups_Oplus__class_Oplus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_c))).
% 13.86/13.83 all V_v V_b V_a T_b (class_Int_Onumber(T_b)&class_Rings_Osemiring(T_b)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Groups_Oplus__class_Oplus(T_b,V_a,V_b)),c_Int_Onumber__class_Onumber__of(T_b,V_v))=c_Groups_Oplus__class_Oplus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),c_Int_Onumber__class_Onumber__of(T_b,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)))).
% 13.86/13.83 all V_v V_b V_a T_b (class_Int_Onumber(T_b)&class_Rings_Oring(T_b)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Groups_Ominus__class_Ominus(T_b,V_a,V_b)),c_Int_Onumber__class_Onumber__of(T_b,V_v))=c_Groups_Ominus__class_Ominus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),c_Int_Onumber__class_Onumber__of(T_b,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)))).
% 13.86/13.83 all V_c V_b V_v T_b (class_Int_Onumber(T_b)&class_Rings_Oring(T_b)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),c_Groups_Ominus__class_Ominus(T_b,V_b,V_c))=c_Groups_Ominus__class_Ominus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_c))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Int_Onumber__ring(T_a)&class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,V_y_2))).
% 13.86/13.83 all V_z V_w V_v T_a (class_Int_Onumber__ring(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_z))=c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)),V_z)).
% 13.86/13.83 all V_w V_v T_a (class_Int_Onumber__ring(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w))=c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w))).
% 13.86/13.83 all V_w V_v T_a (class_Int_Onumber__ring(T_a)->c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w))=c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w))).
% 13.86/13.83 all V_z V_w V_v T_a (class_Int_Onumber__ring(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w)),V_z))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z)).
% 13.86/13.83 all V_w V_v T_a (class_Int_Onumber__ring(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),c_Int_Onumber__class_Onumber__of(T_a,V_w))=c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))).
% 13.86/13.83 all V_w V_v T_a (class_Int_Onumber__ring(T_a)->c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),c_Int_Onumber__class_Onumber__of(T_a,V_w))).
% 13.86/13.83 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.83 all V_b V_a T_a (class_Rings_Oordered__ring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Rings_Oordered__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)))))))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Rings_Oordered__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)))))))).
% 13.86/13.83 all V_c V_a V_b T_a (class_Rings_Oordered__ring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))))).
% 13.86/13.83 all V_c V_a V_b T_a (class_Rings_Oordered__ring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Rings_Oordered__comm__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Rings_Oordered__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Rings_Oordered__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))))).
% 13.86/13.83 all V_b V_a T_a (class_Rings_Oordered__ring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))))).
% 13.86/13.83 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.83 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.83 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.83 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))))).
% 13.86/13.83 all V_ba_2 V_a_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)))).
% 13.86/13.83 all V_ba_2 V_a_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.83 all V_a T_a (class_Rings_Olinordered__ring(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)))).
% 13.86/13.83 all V_n T_a (class_Power_Opower(T_a)&class_Rings_Osemiring__0(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_OSuc(V_n))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.83 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.83 all V_a V_b V_c T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_c))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)))))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_y_2))-> (c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_x_2=c_Groups_Ozero__class_Ozero(T_a)&V_y_2=c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.83 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)))))).
% 13.86/13.83 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.83 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d))))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d))))).
% 13.86/13.83 all V_w V_v T_a (class_Int_Onumber__ring(T_a)->c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_v,V_w))=c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w))).
% 13.86/13.83 all T_a (class_Rings_Olinordered__semidom(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a)))).
% 13.86/13.83 all T_a (class_Rings_Olinordered__semidom(T_a)-> -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_ba_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.83 all V_q V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q))).
% 13.86/13.83 all V_q V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q))).
% 13.86/13.83 all V_q V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q))).
% 13.86/13.83 all V_n V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a)).
% 13.86/13.83 all V_n V_a T_a (class_Power_Opower(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 13.86/13.83 all V_n V_b V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))))).
% 13.86/13.83 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)),c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c)))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c)),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)))))).
% 13.86/13.83 all V_ba_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)))).
% 13.86/13.83 all V_ba_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.83 all V_x (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))->V_x=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))<->V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| (exists B_j (V_ma_2=c_Nat_OSuc(B_j)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_nb_2)))).
% 13.86/13.83 all V_nb_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))<->V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_nb_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)<-> (exists B_m (V_nb_2=c_Nat_OSuc(B_m)))).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))<->V_ma_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&V_nb_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)<->V_ma_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&V_nb_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a)),V_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 13.86/13.83 all V_nb_2 V_ma_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))<->V_ma_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&V_nb_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)<-> (exists B_k (V_nb_2=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k))))).
% 13.86/13.83 all V_m V_i c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_i))).
% 13.86/13.83 all V_m V_i c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_m))).
% 13.86/13.83 c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)).
% 13.86/13.83 all V_n V_m c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),c_Nat_OSuc(V_m)).
% 13.86/13.83 all V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_m)),V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))).
% 13.86/13.83 all V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Nat_OSuc(V_n))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))).
% 13.86/13.83 all V_n (c_Nat_OSuc(V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n)).
% 13.86/13.83 all V_n (c_Nat_OSuc(V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.86/13.83 all V_n (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_n).
% 13.86/13.83 all V_n V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)).
% 13.86/13.83 all V_nb_2 V_ma_2 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_nb_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_c V_b V_a (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_c),V_a))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a,V_c),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_b,V_c)))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)))).
% 13.86/13.83 all V_x T_a (class_RealVector_Oreal__normed__vector(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(T_a,V_x)))).
% 13.86/13.83 all V_i V_j V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i)).
% 13.86/13.83 all V_i V_j V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k)).
% 13.86/13.83 all V_i V_j V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k))).
% 13.86/13.83 all V_k_2 V_j_2 V_i_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))-> (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)=V_k_2<->V_j_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_i_2))).
% 13.86/13.83 all V_m V_n (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)=V_m).
% 13.86/13.83 all V_i_2 V_j_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_j_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2)),V_j_2)))).
% 13.86/13.83 all V_i V_j V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)).
% 13.86/13.83 all V_m V_n (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=V_m).
% 13.86/13.83 all V_m V_n V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_k)))).
% 13.86/13.83 all V_i_2 V_k_2 V_j_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)),V_i_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2)))).
% 13.86/13.83 all V_i V_j V_k (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j)).
% 13.86/13.83 all V_z V_z_H V_w V_w_H (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_H),V_z))->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_H,V_z_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z)))).
% 13.86/13.83 all V_y V_x V_n T_a (class_Rings_Olinordered__idom(T_a)-> (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_n)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)))))).
% 13.86/13.83 all V_y_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2)))<-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_y_2)))& (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))))).
% 13.86/13.83 all V_y_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_2,V_y_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 13.86/13.83 all V_ma_2 V_x_2 (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_ma_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))<->V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 all V_n (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 all V_a_2 V_w_2 V_ba_2 T_a (class_Fields_Ofield__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))=V_a_2<-> (c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a)->V_ba_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))& (c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a)->V_a_2=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_w_2 V_c_2 V_ba_2 T_a (class_Fields_Ofield__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=c_Int_Onumber__class_Onumber__of(T_a,V_w_2)<-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)->V_ba_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))& (V_c_2=c_Groups_Ozero__class_Ozero(T_a)->c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_c_2 V_ba_2 V_w_2 T_a (class_Fields_Ofield__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)<-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)=V_ba_2)& (V_c_2=c_Groups_Ozero__class_Ozero(T_a)->c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_w_2 V_ba_2 V_a_2 T_a (class_Fields_Ofield__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))<-> (c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))=V_ba_2)& (c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a)->V_a_2=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_c V_w V_v T_a (class_Int_Onumber__ring(T_a)->c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_c))=c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)),V_c)).
% 13.86/13.83 all V_b V_a V_c T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))))).
% 13.86/13.83 all V_b V_c V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))))).
% 13.86/13.83 all V_b V_a V_c T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 13.86/13.83 all V_b V_a V_c T_a (class_Rings_Olinordered__semiring(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 13.86/13.83 all V_b V_c V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 13.86/13.83 all V_b V_c V_a T_a (class_Rings_Olinordered__semiring(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),V_a_2))))).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2))))).
% 13.86/13.83 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))))).
% 13.86/13.83 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_c))->c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c))))).
% 13.86/13.83 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.83 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a)))<->V_x_2=c_Groups_Ozero__class_Ozero(T_a)&V_y_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_y V_x T_a (class_Rings_Olinordered__ring(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))))).
% 13.86/13.83 all V_y V_x T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_y))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),c_Groups_Oone__class_Oone(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)))))).
% 13.86/13.83 all V_y V_x T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_y))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),c_Groups_Oone__class_Oone(T_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)))))).
% 13.86/13.83 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))))).
% 13.86/13.83 all V_w_2 V_a_2 T_a (class_Power_Opower(T_a)&class_Rings_Omult__zero(T_a)&class_Rings_Ono__zero__divisors(T_a)&class_Rings_Ozero__ne_q__one(T_a)-> (hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a)&c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.86/13.83 all V_b V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 13.86/13.83 all V_d_2 V_ba_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oordered__ring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2))))).
% 13.86/13.83 all V_d_2 V_ba_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oordered__ring(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2)),V_d_2)))).
% 13.86/13.83 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)))))).
% 13.86/13.83 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))-> (c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.83 all V_z V_w V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)-> (c_Orderings_Oord__class_Oless(T_a,V_w,V_z)->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w))))))).
% 13.86/13.83 all V_z V_w V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_w),V_z))->c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w))))))).
% 13.86/13.83 all V_z V_w V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_w),V_z))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z)),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w)))))))).
% 13.86/13.83 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),c_Groups_Ozero__class_Ozero(T_a)))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.83 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),c_Groups_Ozero__class_Ozero(T_a)))-> (c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)))))).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)))).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)))).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)))).
% 13.86/13.83 all V_i V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(V_i)),V_n)).
% 13.86/13.83 all V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=V_n).
% 13.86/13.83 all V_x_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))<->V_x_2=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_nb_2 V_x_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)))<->c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2)))).
% 13.86/13.83 all V_nb_2 V_a_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2))).
% 13.86/13.83 all V_x V_n T_a (class_Groups_Omonoid__mult(T_a)&class_Rings_Olinordered__ring(T_a)-> (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_n)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))))).
% 13.86/13.83 all V_x_2 V_nb_2 T_a (class_Rings_Olinordered__idom(T_a)-> (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2))))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)))).
% 13.86/13.83 all V_nb_2 V_k_2 V_ma_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)))<-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))<-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)))).
% 13.86/13.83 all V_x_2 (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)<-> (exists B_y (V_x_2=c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),B_y))))).
% 13.86/13.83 all V_x_2 (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)<-> (exists B_y (V_x_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),B_y)))).
% 13.86/13.83 all V_b V_a (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(V_a)),c_Complex_Ocis(V_b))=c_Complex_Ocis(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a,V_b))).
% 13.86/13.83 all V_y V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y))))).
% 13.86/13.83 all V_y_2 V_x_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2)))).
% 13.86/13.83 all V_y_2 V_x_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2)))).
% 13.86/13.83 all V_z_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)).
% 13.86/13.83 all V_y V_x T_a (class_RealVector_Oreal__normed__vector(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_RealVector_Onorm__class_Onorm(T_a,V_y))))).
% 13.86/13.83 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_u_2 V_i_2 V_j_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2)),V_nb_2)))).
% 13.86/13.83 all V_n V_m V_u V_i V_j (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j),V_i))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j)),V_u),V_m),V_n)).
% 13.86/13.83 all V_nb_2 V_ma_2 V_u_2 V_i_2 V_j_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))-> (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)<->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2)=V_nb_2)).
% 13.86/13.83 all V_nb_2 V_ma_2 V_u_2 V_j_2 V_i_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2))))).
% 13.86/13.83 all V_n V_m V_u V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_i)),V_u),V_n))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_u_2 V_j_2 V_i_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))-> (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)<->V_ma_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2))).
% 13.86/13.83 all V_z_2 V_w_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2))).
% 13.86/13.83 all V_z_2 V_w_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_2,c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)).
% 13.86/13.83 all V_z V_w (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z))).
% 13.86/13.83 all V_n V_x T_a (class_RealVector_Oreal__normed__algebra__1(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n)))).
% 13.86/13.83 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))))).
% 13.86/13.83 all V_w_2 V_x_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))<->c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)).
% 13.86/13.83 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))))).
% 13.86/13.83 c_Complex_Ocis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex).
% 13.86/13.83 all V_z_2 V_w_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)).
% 13.86/13.83 all V_a (c_Complex_Ocis(V_a)=c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_a)).
% 13.86/13.83 all V_b V_a (c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Complex_Ocis(V_a),c_Complex_Ocis(V_b))=c_Complex_Ocis(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_a,V_b))).
% 13.86/13.83 all V_z V_w hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_w)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_w,V_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z)))).
% 13.86/13.83 all V_a V_b hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_b,V_a)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_b))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_a))).
% 13.86/13.83 all V_w_2 V_ba_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))-> (c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))& (-c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.83 all V_c_2 V_ba_2 V_w_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)))))).
% 13.86/13.83 all V_w_2 V_c_2 V_ba_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))))).
% 13.86/13.83 all V_a_2 V_w_2 V_ba_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)&class_Int_Onumber(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))->c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))-> (c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2))& (-c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))))).
% 13.86/13.83 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),c_Groups_Oone__class_Oone(T_a))))).
% 13.86/13.83 all V_v V_u V_y V_a V_x T_a (class_Rings_Olinordered__semiring__1(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_u))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_v))-> (c_Groups_Oplus__class_Oplus(T_a,V_u,V_v)=c_Groups_Oone__class_Oone(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)))))))).
% 13.86/13.83 all V_w T_a (class_Power_Opower(T_a)&class_Rings_Osemiring__0(T_a)-> (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))=c_Groups_Oone__class_Oone(T_a))& (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))=c_Groups_Ozero__class_Ozero(T_a))).
% 13.86/13.83 all V_c_2 V_ba_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2)))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))))))).
% 13.86/13.83 all V_a_2 V_c_2 V_ba_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2)))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)))))).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))))).
% 13.86/13.83 all V_a_2 V_ba_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))))).
% 13.86/13.83 all V_z V_x V_y T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)),V_z))))).
% 13.86/13.83 all V_x V_z V_y T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)))))).
% 13.86/13.83 all V_ba_2 V_a_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))))).
% 13.86/13.83 all V_a_2 V_ba_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))))).
% 13.86/13.83 all V_c V_a V_b T_a (class_Fields_Olinordered__field(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_c,V_a)),c_Rings_Oinverse__class_Odivide(T_a,V_c,V_b))))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),c_Groups_Ozero__class_Ozero(T_a)))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_c,V_a)),c_Rings_Oinverse__class_Odivide(T_a,V_c,V_b))))))).
% 13.86/13.83 all V_b V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->V_a=V_b))))).
% 13.86/13.83 all V_w_2 V_x_2 T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))<-> -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))&c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=V_n).
% 13.86/13.83 all V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->V_n=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 13.86/13.83 all V_nb_2 V_x_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)),c_Groups_Ozero__class_Ozero(T_a)))<->V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)& (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)&V_x_2=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_n V_m ((V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=V_n)& (V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)))).
% 13.86/13.83 all V_m V_n V_a T_a (class_Fields_Ofield(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 13.86/13.83 all V_d V_c V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))))).
% 13.86/13.83 all V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_u_2 V_i_2 V_j_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_nb_2))).
% 13.86/13.83 all V_nb_2 V_ma_2 V_u_2 V_j_2 V_i_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2)))).
% 13.86/13.83 all V_q V_r V_a (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)-> (V_a=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q))))).
% 13.86/13.83 all V_q V_r V_a (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)-> (V_a=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q),c_Groups_Oone__class_Oone(tc_Int_Oint)))))).
% 13.86/13.83 all V_r_H V_q_H V_b_H V_r V_q V_b (c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H),V_q)))))))).
% 13.86/13.83 all V_r V_q V_r_H V_q_H V_b (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q),V_q_H)))))).
% 13.86/13.83 all V_r_H V_q_H V_b_H V_r V_q V_b (c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q),V_q_H)))))))).
% 13.86/13.83 all V_w hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w),V_w)).
% 13.86/13.83 all V_w hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w),V_w)).
% 13.86/13.83 all V_w V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z),V_w))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w),V_z))).
% 13.86/13.83 all V_w V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_z),V_w))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w),V_z))).
% 13.86/13.83 all V_l_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k_2)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2),V_l_2))).
% 13.86/13.83 all V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i),V_j))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_j),V_k))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i),V_k)))).
% 13.86/13.83 all V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_i),V_j))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_j),V_k))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_i),V_k)))).
% 13.86/13.83 all V_w V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z),V_w))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w),V_z))->V_z=V_w)).
% 13.86/13.83 all V_w V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_z),V_w))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w),V_z))->V_z=V_w)).
% 13.86/13.83 all V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_n)).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))).
% 13.86/13.83 all V_n V_m (V_m=V_n->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))).
% 13.86/13.83 all V_k V_j V_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j),V_k))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_k)))).
% 13.86/13.83 all V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))->V_m=V_n)).
% 13.86/13.83 all V_l_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k_2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)).
% 13.86/13.83 all V_w V_v (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w))=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w))).
% 13.86/13.83 all V_w V_v (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w))=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))).
% 13.86/13.83 all V_w (c_Complex_Oii!=c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,V_w)).
% 13.86/13.83 all V_r_H V_q_H V_b_H (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H))))).
% 13.86/13.83 all V_r_H V_q_H V_b_H (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))).
% 13.86/13.83 all V_r V_q V_r_H V_q_H V_b (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H),V_q)))))).
% 13.86/13.83 all V_y V_x V_c T_a (class_RealVector_Oreal__normed__vector(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_c),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),c_RealVector_Onorm__class_Onorm(T_a,V_y))))->V_x=c_Groups_Ozero__class_Ozero(T_a)))).
% 13.86/13.83 all V_n V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)))).
% 13.86/13.83 all V_k (c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k)=V_k).
% 13.86/13.83 hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.86/13.83 all V_l_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_l_2))<-> (exists B_n (V_l_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,B_n)))).
% 13.86/13.83 hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_y))))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))))).
% 13.86/13.83 all V_x T_a (class_Orderings_Opreorder(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_x))).
% 13.86/13.83 all T_a (class_RealVector_Oreal__algebra__1(T_a)&class_RealVector_Oreal__normed__vector(T_a)-> (exists B_K (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)& (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K))))))).
% 13.86/13.83 all V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))<-> (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x)))))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Oorder(T_a)-> (V_x_2=V_y_2<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (V_x=V_y->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y)))).
% 13.86/13.83 all V_x_2 V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))))).
% 13.86/13.83 all V_x_2 V_y_2 T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))<->V_x_2=V_y_2))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (V_a=V_b-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_c))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_c))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a=V_b-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_a))))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (V_b=V_c->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_c))))).
% 13.86/13.83 all V_c V_a V_b T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))-> (V_b=V_c->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_a))))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))->V_x=V_y))).
% 13.86/13.83 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_z))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_z))))).
% 13.86/13.83 all V_x V_y T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))->V_x=V_y))).
% 13.86/13.83 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_z),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_z),V_x))))).
% 13.86/13.83 all V_x_2 V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x)))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (V_x!=V_y->c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 13.86/13.83 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 13.86/13.83 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 13.86/13.83 all V_c V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (V_b=V_c->c_Orderings_Oord__class_Oless(T_a,V_c,V_a)))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (V_b=V_c->c_Orderings_Oord__class_Oless(T_a,V_a,V_c)))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_b)->c_Orderings_Oord__class_Oless(T_a,V_c,V_a)))).
% 13.86/13.83 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless(T_a,V_a,V_c)))).
% 13.86/13.83 all V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> -c_Orderings_Oord__class_Oless(T_a,V_a,V_b))).
% 13.86/13.83 all V_b V_a T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> -c_Orderings_Oord__class_Oless(T_a,V_b,V_a))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_y!=V_x)).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_x!=V_y)).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_x!=V_y)).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (V_x!=V_y-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))).
% 13.86/13.83 all V_x_2 V_y_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->V_x_2=V_y_2))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x)).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|V_x_2=V_y_2)).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (V_x_2!=V_y_2<->c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2))).
% 13.86/13.83 all V_x T_a (class_Orderings_Opreorder(T_a)-> -c_Orderings_Oord__class_Oless(T_a,V_x,V_x)).
% 13.86/13.83 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))-> (c_Orderings_Oord__class_Oless(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 13.86/13.83 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 13.86/13.83 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_x)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_z),V_y))->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 13.86/13.83 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_z))->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 13.86/13.83 all V_a V_b T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))-> (V_a!=V_b->c_Orderings_Oord__class_Oless(T_a,V_b,V_a)))).
% 13.86/13.83 all V_b V_a T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))-> (V_a!=V_b->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))->c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y)).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->V_x_2=V_y_2))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y)))).
% 13.86/13.83 all V_x V_y T_a (class_Orderings_Olinorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))-> -c_Orderings_Oord__class_Oless(T_a,V_x,V_y))).
% 13.86/13.83 all V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a!=V_b-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))->c_Orderings_Oord__class_Oless(T_a,V_b,V_a)))).
% 13.86/13.83 all V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a!=V_b-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))<->V_x_2=V_y_2))).
% 13.86/13.83 all V_x V_y T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))->c_Orderings_Oord__class_Oless(T_a,V_x,V_y))).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x)))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))<->c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2=V_y_2)).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))& -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))&V_x_2!=V_y_2)).
% 13.86/13.83 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|c_Orderings_Oord__class_Oless(T_a,V_y,V_x)).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))<->c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2))).
% 13.86/13.83 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)))).
% 13.86/13.83 all T_a (class_RealVector_Oreal__algebra__1(T_a)&class_RealVector_Oreal__normed__vector(T_a)-> (exists B_K (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),B_K))& (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K))))))).
% 13.86/13.83 all V_y T_a (class_RealVector_Oreal__normed__field(T_a)-> (exists B_K (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)& (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,B_x,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K))))))).
% 13.86/13.83 all V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))& -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_g_2),V_f_2)))).
% 13.86/13.83 all T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (exists B_K (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)& (all B_a B_b hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_a),B_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_a)),c_RealVector_Onorm__class_Onorm(T_a,B_b))),B_K))))))).
% 13.86/13.83 all V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (exists B_K (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)& (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K))))))).
% 13.86/13.83 all V_y T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (exists B_K (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)& (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K))))))).
% 13.86/13.83 all V_x V_y ((hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y),V_x))->c_Nat__Transfer_Otsub(V_x,V_y)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y))& (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y),V_x))->c_Nat__Transfer_Otsub(V_x,V_y)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))))).
% 13.86/13.83 all V_x V_y (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y),V_x))->c_Nat__Transfer_Otsub(V_x,V_y)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y)).
% 13.86/13.83 all V_k V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m),V_k)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))).
% 13.86/13.83 all T_a (class_RealVector_Oreal__algebra__1(T_a)&class_RealVector_Oreal__normed__vector(T_a)-> (exists B_K all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K))))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y))))).
% 13.86/13.83 all V_a T_a (class_Divides_Osemiring__div(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,V_a,V_a)=c_Groups_Oone__class_Oone(T_a))).
% 13.86/13.83 all V_b V_a V_c T_a (class_Divides_Osemiring__div(T_a)-> (V_c=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Groups_Ozero__class_Ozero(T_a))& (V_c!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b))).
% 13.86/13.83 all V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b)=V_a)).
% 13.86/13.83 all V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b)=V_a)).
% 13.86/13.83 all V_b V_a V_c T_a (class_Divides_Osemiring__div(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b))).
% 13.86/13.83 all V_b V_a V_c T_a (class_Divides_Osemiring__div(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b))).
% 13.86/13.83 all V_a (V_a!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_a)=c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 13.86/13.83 all V_b (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.86/13.83 all V_a T_a (class_Divides_Osemiring__div(T_a)->c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a).
% 13.86/13.83 all V_a T_a (class_Divides_Osemiring__div(T_a)->c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.83 all V_a T_a (class_Divides_Osemiring__div(T_a)->c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 13.86/13.83 all V_a_2 V_ba_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 13.86/13.83 all V_a_2 V_ba_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ba_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2))).
% 13.86/13.83 all V_b V_a (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 13.86/13.83 all V_b V_a_H V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a),V_a_H))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b))))).
% 13.86/13.83 all V_b V_a_H V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a),V_a_H))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b))))).
% 13.86/13.83 all V_b V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_a)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.86/13.83 all V_b V_b_H V_a (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)))))).
% 13.86/13.83 all V_b V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))).
% 13.86/13.83 all V_a_2 V_ba_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ba_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))).
% 13.86/13.83 all V_b V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,V_b)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.86/13.83 all V_b V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))).
% 13.86/13.83 all V_b V_b_H V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H)))))).
% 13.86/13.83 all V_ba_2 V_a_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_ba_2),V_a_2))&c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2))).
% 13.86/13.83 all V_i_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2),V_i_2)))).
% 13.86/13.83 all V_a_2 V_ba_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)))).
% 13.86/13.83 all V_k_2 V_i_2 (c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)<->V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))&c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2)).
% 13.86/13.83 all V_k V_x (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k)->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_k),V_x))).
% 13.86/13.83 all V_b V_a V_c (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_c)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),V_c)).
% 13.86/13.83 all V_c V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b)=c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)))).
% 13.86/13.83 all V_c V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b)=c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)))).
% 13.86/13.83 all V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_a),V_b)=c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)))).
% 13.86/13.83 all V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b)=c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)))).
% 13.86/13.83 all V_k_2 V_nb_2 V_P_2 (hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))<-> (V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)->hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))& (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)-> (all B_i ((exists B_j (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))&c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_k_2)&V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j)))->hBOOL(hAPP(V_P_2,B_i)))))& (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (all B_i ((exists B_j (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,B_j)&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j)))->hBOOL(hAPP(V_P_2,B_i)))))).
% 13.86/13.83 all V_r_1 V_y V_b_1 V_a_1 (V_a_1=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y),V_r_1)-> ((c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))&c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1))& (-c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1)&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))-> (V_b_1!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1)=V_y))).
% 13.86/13.83 all V_nb_2 V_P_2 (-hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))-> (hBOOL(hAPP(V_P_2,V_nb_2))-> (exists B_k (c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_k,V_nb_2)& (all B_i (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_i),B_k))-> -hBOOL(hAPP(V_P_2,B_i))))&hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_k,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))).
% 13.86/13.83 all V_y T_a (class_RealVector_Oreal__normed__field(T_a)-> (exists B_K (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),B_K))& (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,B_x,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K))))))).
% 13.86/13.83 all V_k V_n V_m (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_k)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_k)))).
% 13.86/13.83 all V_n V_m hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)),V_m)).
% 13.86/13.83 all V_n V_m V_k ((V_k=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))& (V_k!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n))).
% 13.86/13.83 all V_m (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=V_m).
% 13.86/13.83 all V_c V_b V_a (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,V_b),V_c)).
% 13.86/13.83 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_k V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_n)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_m))))).
% 13.86/13.83 all V_n V_m V_k (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m),V_n)=V_m).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_n)=V_m).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m))).
% 13.86/13.83 all V_x (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Nat_OSuc(V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))).
% 13.86/13.83 all V_x (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Nat_OSuc(V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))& (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)))).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)-> (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)))).
% 13.86/13.83 all V_k_2 V_nb_2 V_P_2 (hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))<-> (V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))& (V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)-> (all B_i B_j (c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_k_2)-> (V_nb_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i),B_j)->hBOOL(hAPP(V_P_2,B_i))))))).
% 13.86/13.83 all V_x (-c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x)->c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))=V_x).
% 13.86/13.83 all V_x (c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=V_x).
% 13.86/13.83 all V_nb_2 V_ma_2 V_P_2 (hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))<->V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| (exists B_q (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),B_q)),V_ma_2))&c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc(B_q)))&hBOOL(hAPP(V_P_2,B_q))))).
% 13.86/13.83 all V_ma_2 V_q_2 V_nb_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_q_2)),V_ma_2))&c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc(V_q_2)))<->V_q_2=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2))).
% 13.86/13.83 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)))).
% 13.86/13.83 all T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (exists B_K (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),B_K))& (all B_a B_b hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_a),B_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_a)),c_RealVector_Onorm__class_Onorm(T_a,B_b))),B_K))))))).
% 13.86/13.83 all V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (exists B_K (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),B_K))& (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K))))))).
% 13.86/13.83 all V_v_H (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H))=hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H)))).
% 13.86/13.83 all V_y T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (exists B_K (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),B_K))& (all B_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K))))))).
% 13.86/13.83 all V_i_2 (hAPP(c_Int_Onat,V_i_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 13.86/13.83 all V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))->hAPP(c_Int_Onat,V_z)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_w_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2))).
% 13.86/13.83 all V_z_2 V_w_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)&c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)).
% 13.86/13.83 all V_y_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_x_2),V_y_2))))).
% 13.86/13.83 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.86/13.83 c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 13.86/13.83 c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.86/13.83 all V_w (hAPP(c_Int_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)).
% 13.86/13.83 all V_v (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)=hAPP(c_Int_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))).
% 13.86/13.83 all V_P_2 ((exists B_x1 hBOOL(hAPP(V_P_2,B_x1)))<-> (exists B_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))&hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x)))))).
% 13.86/13.83 all V_P_2 ((all B_x1 hBOOL(hAPP(V_P_2,B_x1)))<-> (all B_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))->hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x)))))).
% 13.86/13.83 all V_y_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))-> (hAPP(c_Int_Onat,V_x_2)=hAPP(c_Int_Onat,V_y_2)<->V_x_2=V_y_2))).
% 13.86/13.83 all V_z_H_2 V_z_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))-> (hAPP(c_Int_Onat,V_z_2)=hAPP(c_Int_Onat,V_z_H_2)<->V_z_2=V_z_H_2))).
% 13.86/13.83 all V_z_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)).
% 13.86/13.83 all V_y_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_x_2),hAPP(c_Int_Onat,V_y_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,V_y_2)))).
% 13.86/13.83 all V_z_2 V_w_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2))).
% 13.86/13.83 all V_z_2 V_w_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_w_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_y)))).
% 13.86/13.83 all V_z_H V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))->hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_z_H))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,V_z),hAPP(c_Int_Onat,V_z_H)))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))->hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)))).
% 13.86/13.83 all V_z_H V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))->hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H))).
% 13.86/13.83 all V_z V_z_H (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_H),V_z))->hAPP(c_Int_Onat,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_z_H))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,V_z),hAPP(c_Int_Onat,V_z_H)))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))->hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y)))).
% 13.86/13.83 all V_n V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))).
% 13.86/13.83 all V_n V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))->hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n)).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))->c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)))).
% 13.86/13.83 all V_z_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)).
% 13.86/13.83 all V_z (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))->c_Nat_OSuc(hAPP(c_Int_Onat,V_z))=hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z))).
% 13.86/13.83 all V_n V_i (c_Int_Onat__aux(V_i,V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,V_i),V_n)).
% 13.86/13.83 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.86/13.83 all V_w V_v ((c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))))).
% 13.86/13.83 all V_n V_v ((c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)),V_n)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)),V_n)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v)),V_n)))).
% 13.86/13.83 all V_Z_2 (c_Nat__Numeral_Oneg(V_Z_2)<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_Z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.86/13.83 -c_Nat__Numeral_Oneg(c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.86/13.83 -c_Nat__Numeral_Oneg(c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 13.86/13.83 all V_x_2 (-c_Nat__Numeral_Oneg(V_x_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))).
% 13.86/13.83 all V_z (c_Nat__Numeral_Oneg(V_z)->hAPP(c_Int_Onat,V_z)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_v (c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_v_H_2 V_v_2 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)<-> (c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2))-> (c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2))->c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2))->V_v_2=V_v_H_2))).
% 13.86/13.83 all V_k V_v_H V_v ((c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H),V_k))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H),V_k))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))-> (c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H))->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H),V_k))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),V_k))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H))->c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H),V_k))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_v_H)),V_k)))).
% 13.86/13.83 all V_v_H V_v ((c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H))=hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H))))).
% 13.86/13.83 all V_n V_v ((c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),V_n))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),V_n))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_Osucc(V_v)),V_n))).
% 13.86/13.83 all V_v ((c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_Nat_OSuc(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))=c_Groups_Oone__class_Oone(tc_Nat_Onat))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_Nat_OSuc(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_Osucc(V_v)))).
% 13.86/13.83 all V_k (c_Int_Osucc(V_k)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 13.86/13.83 all V_k T_a (class_Int_Onumber__ring(T_a)->c_Int_Onumber__class_Onumber__of(T_a,c_Int_Osucc(V_k))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_k))).
% 13.86/13.83 all V_x V_n (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_n))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))->c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_n)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_n)))).
% 13.86/13.83 all V_x V_n (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_n))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))->c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_n)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_n)))).
% 13.86/13.83 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.86/13.83 c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.86/13.83 c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.86/13.83 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.86/13.83 all V_n (c_RComplete_Onatfloor(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_n))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_n)).
% 13.86/13.83 all V_n (c_RComplete_Onatceiling(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_n))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_n)).
% 13.86/13.83 all V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))->c_RComplete_Onatceiling(V_x)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_RComplete_Onatfloor(V_y)))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),V_y))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x)),c_RComplete_Onatceiling(V_y)))).
% 13.86/13.83 all V_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(V_x))).
% 13.86/13.83 all V_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(V_x))).
% 13.86/13.83 all V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))->c_RComplete_Onatfloor(V_x)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(V_x_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x_2))).
% 13.86/13.83 all V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))).
% 13.86/13.83 all V_b V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_a))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_b))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b)))))).
% 13.86/13.83 all V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))->c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.86/13.83 all V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))->c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.86/13.83 all V_x_2 V_nb_2 (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_nb_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_nb_2)),c_RComplete_Onatfloor(V_x_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_nb_2)),V_x_2))))).
% 13.86/13.83 all V_x_2 V_nb_2 (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_nb_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_nb_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_nb_2)))))).
% 13.86/13.83 all V_x V_n (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))->c_RComplete_Onatceiling(V_x)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 13.86/13.83 all V_y V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x))-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_y)->c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_y)))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_y))).
% 13.86/13.83 all V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 13.86/13.83 all V_n (c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n))=V_n).
% 13.86/13.83 all V_n (c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n))=V_n).
% 13.86/13.83 all V_x hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x)))).
% 13.86/13.83 all V_a V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x)),V_a))).
% 13.86/13.83 all V_a V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x)),V_a))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),c_RComplete_Onatfloor(V_a)))).
% 13.86/13.83 all V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))),V_x))).
% 13.86/13.83 all V_ma_2 V_nb_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2))).
% 13.86/13.83 all V_ma_2 V_nb_2 (c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)=c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)<->V_nb_2=V_ma_2).
% 13.86/13.83 all V_n V_m (c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n)).
% 13.86/13.83 all V_n V_m (hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n)=c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n))).
% 13.86/13.83 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.86/13.83 all V_n V_m (c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 13.86/13.83 all V_n V_m (c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 13.86/13.83 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.86/13.83 all V_nb_2 (c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<->V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_n (-c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.86/13.83 all V_ma_2 V_nb_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)).
% 13.86/13.83 all V_n (c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.86/13.83 c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.86/13.83 all V_n c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))).
% 13.86/13.83 all V_nb_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))<->V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.86/13.83 all V_x V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_RealDef_Oreal(tc_Nat_Onat,V_x)))).
% 13.86/13.83 all V_m V_n (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))->c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 13.86/13.83 all V_n V_x (V_x=c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))->c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n)).
% 13.86/13.83 all V_n V_a (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(V_a)),V_n)=c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_a))).
% 13.86/13.83 all V_nb_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_nb_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)).
% 13.86/13.83 all V_ma_2 V_nb_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)))).
% 13.86/13.83 all V_ma_2 V_nb_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2))<->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_ma_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))).
% 13.86/13.83 all V_a_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_a_2),c_RComplete_Onatfloor(V_x_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)),V_x_2)))).
% 13.86/13.83 all V_a_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),V_a_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_RealDef_Oreal(tc_Nat_Onat,V_a_2))))).
% 13.86/13.83 all V_x c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.86/13.83 all V_x V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a)),V_x))->c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a)).
% 13.86/13.83 all V_x c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))).
% 13.86/13.83 all V_x V_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a)),V_x))->c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a)).
% 13.86/13.83 all V_a V_n (c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))),V_a))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(V_a)),c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_a)))).
% 13.86/13.83 all V_n V_a V_r (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(V_r,V_a)),V_n)=c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_r),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_a))).
% 13.86/13.83 all V_n V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n))).
% 13.86/13.83 all V_x V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_RealDef_Oreal(tc_Nat_Onat,V_x)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x))))).
% 13.86/13.83 all V_v ((c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_RealDef_Oreal(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))& (-c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))->c_RealDef_Oreal(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_v))).
% 13.86/13.83 all V_a V_x (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))->c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a)).
% 13.86/13.83 all T_2 T_1 (class_Orderings_Opreorder(T_1)->class_Orderings_Opreorder(tc_fun(T_2,T_1))).
% 13.86/13.83 all T_2 T_1 (class_Orderings_Oorder(T_1)->class_Orderings_Oorder(tc_fun(T_2,T_1))).
% 13.86/13.83 all T_2 T_1 (class_Orderings_Oord(T_1)->class_Orderings_Oord(tc_fun(T_2,T_1))).
% 13.86/13.83 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__semiring__strict(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint).
% 13.86/13.83 class_Groups_Olinordered__ab__group__add(tc_Int_Oint).
% 13.86/13.83 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 13.86/13.83 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint).
% 13.86/13.83 class_Rings_Oordered__cancel__semiring(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__ring__strict(tc_Int_Oint).
% 13.86/13.83 class_Rings_Oring__no__zero__divisors(tc_Int_Oint).
% 13.86/13.83 class_Rings_Oordered__comm__semiring(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__semiring__1(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oordered__ab__group__add(tc_Int_Oint).
% 13.86/13.83 class_Groups_Ocancel__semigroup__add(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__semiring(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__semidom(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oab__semigroup__mult(tc_Int_Oint).
% 13.86/13.83 class_Groups_Ocomm__monoid__mult(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oab__semigroup__add(tc_Int_Oint).
% 13.86/13.83 class_Rings_Oordered__semiring(tc_Int_Oint).
% 13.86/13.83 class_Rings_Ono__zero__divisors(tc_Int_Oint).
% 13.86/13.83 class_Groups_Ocomm__monoid__add(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__ring(tc_Int_Oint).
% 13.86/13.83 class_Rings_Olinordered__idom(tc_Int_Oint).
% 13.86/13.83 class_Rings_Ocomm__semiring__1(tc_Int_Oint).
% 13.86/13.83 class_Divides_Osemiring__div(tc_Int_Oint).
% 13.86/13.83 class_Rings_Ocomm__semiring(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oab__group__add(tc_Int_Oint).
% 13.86/13.83 class_Rings_Ozero__ne_q__one(tc_Int_Oint).
% 13.86/13.83 class_Rings_Oordered__ring(tc_Int_Oint).
% 13.86/13.83 class_Orderings_Opreorder(tc_Int_Oint).
% 13.86/13.83 class_Orderings_Olinorder(tc_Int_Oint).
% 13.86/13.83 class_Groups_Omonoid__mult(tc_Int_Oint).
% 13.86/13.83 class_Rings_Ocomm__ring__1(tc_Int_Oint).
% 13.86/13.83 class_Groups_Omonoid__add(tc_Int_Oint).
% 13.86/13.83 class_Rings_Osemiring__0(tc_Int_Oint).
% 13.86/13.83 class_Groups_Ogroup__add(tc_Int_Oint).
% 13.86/13.83 class_Rings_Omult__zero(tc_Int_Oint).
% 13.86/13.83 class_Orderings_Oorder(tc_Int_Oint).
% 13.86/13.83 class_Int_Oring__char__0(tc_Int_Oint).
% 13.86/13.83 class_Int_Onumber__ring(tc_Int_Oint).
% 13.86/13.83 class_Rings_Osemiring(tc_Int_Oint).
% 13.86/13.83 class_Orderings_Oord(tc_Int_Oint).
% 13.86/13.83 class_Rings_Oring__1(tc_Int_Oint).
% 13.86/13.83 class_Power_Opower(tc_Int_Oint).
% 13.86/13.83 class_Groups_Ozero(tc_Int_Oint).
% 13.86/13.83 class_Rings_Oring(tc_Int_Oint).
% 13.86/13.83 class_Int_Onumber(tc_Int_Oint).
% 13.86/13.83 class_Groups_Oone(tc_Int_Oint).
% 13.86/13.83 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat).
% 13.86/13.83 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat).
% 13.86/13.83 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat).
% 13.86/13.83 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat).
% 13.86/13.83 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat).
% 13.86/13.83 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat).
% 13.86/13.83 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat).
% 13.86/13.83 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat).
% 13.86/13.83 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat).
% 13.86/13.83 class_Rings_Oordered__comm__semiring(tc_Nat_Onat).
% 13.86/13.83 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat).
% 13.86/13.83 class_Rings_Olinordered__semiring(tc_Nat_Onat).
% 13.86/13.83 class_Rings_Olinordered__semidom(tc_Nat_Onat).
% 13.86/13.83 class_Groups_Oab__semigroup__mult(tc_Nat_Onat).
% 13.86/13.83 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat).
% 13.93/13.84 class_Groups_Oab__semigroup__add(tc_Nat_Onat).
% 13.93/13.84 class_Rings_Oordered__semiring(tc_Nat_Onat).
% 13.93/13.84 class_Rings_Ono__zero__divisors(tc_Nat_Onat).
% 13.93/13.84 class_Groups_Ocomm__monoid__add(tc_Nat_Onat).
% 13.93/13.84 class_Rings_Ocomm__semiring__1(tc_Nat_Onat).
% 13.93/13.84 class_Divides_Osemiring__div(tc_Nat_Onat).
% 13.93/13.84 class_Rings_Ocomm__semiring(tc_Nat_Onat).
% 13.93/13.84 class_Rings_Ozero__ne_q__one(tc_Nat_Onat).
% 13.93/13.84 class_Orderings_Opreorder(tc_Nat_Onat).
% 13.93/13.84 class_Orderings_Olinorder(tc_Nat_Onat).
% 13.93/13.84 class_Groups_Omonoid__mult(tc_Nat_Onat).
% 13.93/13.84 class_Groups_Omonoid__add(tc_Nat_Onat).
% 13.93/13.84 class_Rings_Osemiring__0(tc_Nat_Onat).
% 13.93/13.84 class_Rings_Omult__zero(tc_Nat_Onat).
% 13.93/13.84 class_Orderings_Oorder(tc_Nat_Onat).
% 13.93/13.84 class_Rings_Osemiring(tc_Nat_Onat).
% 13.93/13.84 class_Orderings_Oord(tc_Nat_Onat).
% 13.93/13.84 class_Power_Opower(tc_Nat_Onat).
% 13.93/13.84 class_Groups_Ozero(tc_Nat_Onat).
% 13.93/13.84 class_Int_Onumber(tc_Nat_Onat).
% 13.93/13.84 class_Groups_Oone(tc_Nat_Onat).
% 13.93/13.84 class_Orderings_Opreorder(tc_HOL_Obool).
% 13.93/13.84 class_Orderings_Oorder(tc_HOL_Obool).
% 13.93/13.84 class_Orderings_Oord(tc_HOL_Obool).
% 13.93/13.84 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal).
% 13.93/13.84 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal).
% 13.93/13.84 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal).
% 13.93/13.84 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal).
% 13.93/13.84 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal).
% 13.93/13.84 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal).
% 13.93/13.84 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__semiring(tc_RealDef_Oreal).
% 13.93/13.84 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal).
% 13.93/13.84 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__semidom(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Fields_Olinordered__field(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Oordered__semiring(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__ring(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Olinordered__idom(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal).
% 13.93/13.84 class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Odivision__ring(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Ocomm__semiring(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oab__group__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Ozero__ne_q__one(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Oordered__ring(tc_RealDef_Oreal).
% 13.93/13.84 class_Orderings_Opreorder(tc_RealDef_Oreal).
% 13.93/13.84 class_Orderings_Olinorder(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Omonoid__mult(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Omonoid__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Osemiring__0(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Ogroup__add(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Omult__zero(tc_RealDef_Oreal).
% 13.93/13.84 class_Orderings_Oorder(tc_RealDef_Oreal).
% 13.93/13.84 class_Int_Oring__char__0(tc_RealDef_Oreal).
% 13.93/13.84 class_Int_Onumber__ring(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Osemiring(tc_RealDef_Oreal).
% 13.93/13.84 class_Orderings_Oord(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Oring__1(tc_RealDef_Oreal).
% 13.93/13.84 class_Fields_Ofield(tc_RealDef_Oreal).
% 13.93/13.84 class_Power_Opower(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Ozero(tc_RealDef_Oreal).
% 13.93/13.84 class_Rings_Oring(tc_RealDef_Oreal).
% 13.93/13.84 class_Int_Onumber(tc_RealDef_Oreal).
% 13.93/13.84 class_Groups_Oone(tc_RealDef_Oreal).
% 13.93/13.84 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex).
% 13.93/13.84 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex).
% 13.93/13.84 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 13.93/13.84 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 13.93/13.84 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 13.93/13.84 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 13.93/13.84 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex).
% 13.93/13.84 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 13.93/13.84 class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Odivision__ring(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Oab__group__add(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Omonoid__mult(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Omonoid__add(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Osemiring__0(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Ogroup__add(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Omult__zero(tc_Complex_Ocomplex).
% 13.93/13.84 class_Int_Oring__char__0(tc_Complex_Ocomplex).
% 13.93/13.84 class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Osemiring(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Oring__1(tc_Complex_Ocomplex).
% 13.93/13.84 class_Fields_Ofield(tc_Complex_Ocomplex).
% 13.93/13.84 class_Power_Opower(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Ozero(tc_Complex_Ocomplex).
% 13.93/13.84 class_Rings_Oring(tc_Complex_Ocomplex).
% 13.93/13.84 class_Int_Onumber(tc_Complex_Ocomplex).
% 13.93/13.84 class_Groups_Oone(tc_Complex_Ocomplex).
% 13.93/13.84 -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.93/13.84 -(exists B_v c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_v),v_na____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.93/13.84 end_of_list.
% 13.93/13.84
% 13.93/13.84 -------> usable clausifies to:
% 13.93/13.84
% 13.93/13.84 list(usable).
% 13.93/13.84 0 [] A=A.
% 13.93/13.84 0 [] hAPP(V_f_2,$f1(V_g_2,V_f_2))!=hAPP(V_g_2,$f1(V_g_2,V_f_2))|V_f_2=V_g_2.
% 13.93/13.84 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____).
% 13.93/13.84 0 [] v_na____!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.84 0 [] v_b!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 13.93/13.84 0 [] c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.93/13.84 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.93/13.84 0 [] c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.93/13.84 0 [] v_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,V_a,c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a)))).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_b).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,V_s)).
% 13.93/13.84 0 [] -class_Fields_Ofield__inverse__zero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oone__class_Oone(T_a),V_a)),V_n).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_ma_2)!=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)|V_ma_2=V_nb_2.
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_ma_2)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)|V_ma_2!=V_nb_2.
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_y_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_ba_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_y_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)| -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.93/13.84 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.84 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2).
% 13.93/13.84 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_nb_2))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,V_x_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,V_x_2)=c_Groups_Ozero__class_Ozero(T_a)|V_x_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(T_a,V_x_2)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(T_a,V_x_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.84 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.84 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 13.93/13.84 0 [] -class_Rings_Ozero__ne_q__one(T_a)|c_Groups_Ozero__class_Ozero(T_a)!=c_Groups_Oone__class_Oone(T_a).
% 13.93/13.84 0 [] -class_Rings_Ozero__ne_q__one(T_a)|c_Groups_Oone__class_Oone(T_a)!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_a.
% 13.93/13.84 0 [] -class_Rings_Oring__1__no__zero__divisors(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_Rings_Odivision__ring(T_a)|c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_Power_Opower(T_a)| -class_Rings_Osemiring__0(T_a)|V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n)=c_Groups_Oone__class_Oone(T_a).
% 13.93/13.84 0 [] -class_Power_Opower(T_a)| -class_Rings_Osemiring__0(T_a)|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n)=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|V_x_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2))|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ba_2).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_ba_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_ba_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ba_2).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ba_2).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ba_2).
% 13.93/13.84 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.84 0 [] -class_Rings_Odivision__ring(T_a)|V_ba_2=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)!=c_Groups_Oone__class_Oone(T_a)|V_a_2=V_ba_2.
% 13.93/13.84 0 [] -class_Rings_Odivision__ring(T_a)|V_ba_2=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)=c_Groups_Oone__class_Oone(T_a)|V_a_2!=V_ba_2.
% 13.93/13.84 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a)=c_Groups_Oone__class_Oone(T_a).
% 13.93/13.84 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|V_a!=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.84 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_a,V_a)=c_Groups_Oone__class_Oone(T_a).
% 13.93/13.84 0 [] -class_Fields_Ofield(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)),V_n)=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)).
% 13.93/13.84 0 [] -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__field(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 13.93/13.84 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 13.93/13.84 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,V_x)),V_n)=c_RealVector_Oof__real(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)).
% 13.93/13.84 0 [] -class_Rings_Olinordered__idom(T_a)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,V_x_2)!=c_RealVector_Oof__real(T_a,V_y_2)|V_x_2=V_y_2.
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,V_x_2)=c_RealVector_Oof__real(T_a,V_y_2)|V_x_2!=V_y_2.
% 13.93/13.84 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)=c_Groups_Oone__class_Oone(T_a).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y),V_ya)=c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_ya),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_ya)).
% 13.93/13.84 0 [] -class_Rings_Odivision__ring(T_a)|c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c)=c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)).
% 13.93/13.84 0 [] -class_Rings_Odivision__ring(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a.
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,V_y),V_ya)=c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_ya),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_ya)).
% 13.93/13.84 0 [] -class_Rings_Odivision__ring(T_a)|c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_c)=c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)).
% 13.93/13.84 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b)),V_n)=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))=c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)).
% 13.93/13.84 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n).
% 13.93/13.84 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)| -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Oof__real(T_a,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y))=c_Groups_Oplus__class_Oplus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y))=c_Groups_Oplus__class_Oplus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)| -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Oof__real(T_a,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y))=c_Groups_Ominus__class_Ominus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y))=c_Groups_Ominus__class_Ominus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)).
% 13.93/13.84 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_RealVector_Oof__real(T_a,V_x)),V_n).
% 13.93/13.84 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_RealVector_Oreal__field(T_a)|c_RealVector_Oof__real(T_a,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,V_y))=c_Rings_Oinverse__class_Odivide(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)).
% 13.93/13.84 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,v_na____)|B_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),$f2(B_m)),B_m)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x_2!=c_Groups_Ozero__class_Ozero(T_a)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x_2!=c_Groups_Ozero__class_Ozero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2).
% 13.93/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2),c_Groups_Ozero__class_Ozero(T_a))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_y_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2).
% 13.93/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_y_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_y_2).
% 13.93/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_y_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_y_2).
% 13.93/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(T_a).
% 13.93/13.85 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),$c1),v_na____)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.93/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)).
% 13.93/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)).
% 13.93/13.85 0 [] -class_Groups_Oab__semigroup__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_RealVector_Oof__real(T_a,V_x)),c_RealVector_Oof__real(T_a,V_y)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Oplus__class_Oplus(T_a,V_y,V_z))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)).
% 13.93/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_a_2=V_ba_2|V_c_2=V_d_2|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_d_2))!=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2)).
% 13.93/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_a_2!=V_ba_2|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_d_2))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2)).
% 13.93/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_c_2!=V_d_2|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_d_2))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_m).
% 13.93/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2))!=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))|V_w_2=V_x_2|V_y_2=V_z_2.
% 13.93/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))|V_w_2!=V_x_2.
% 13.93/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))|V_y_2!=V_z_2.
% 13.93/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m=V_n.
% 13.93/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m.
% 13.93/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.93/13.85 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a.
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a.
% 13.93/13.85 0 [] -class_Groups_Ocomm__monoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a.
% 13.93/13.85 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a.
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a.
% 13.93/13.85 0 [] -class_Groups_Ocomm__monoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a.
% 13.93/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)).
% 13.93/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k).
% 13.93/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=V_m.
% 13.93/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2).
% 13.93/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_p,V_q)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s)).
% 13.93/13.85 0 [] -class_Rings_Ono__zero__divisors(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)!=c_Groups_Ozero__class_Ozero(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Ono__zero__divisors(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Omult__zero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Rings_Omult__zero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_b_H))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_a_H)),V_b)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),V_ya)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)).
% 13.93/13.85 0 [] -class_Rings_Osemiring(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e),V_c))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_e),V_c).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_b,V_b_H))=c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y))=c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a,V_a_H)),V_b)=c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),V_ya)=c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)).
% 13.93/13.85 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 13.93/13.85 0 [] -class_Groups_Ocomm__monoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)).
% 13.93/13.85 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 13.93/13.85 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c))=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c).
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)),c_Rings_Oinverse__class_Odivide(T_a,V_z,V_w))=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)).
% 13.93/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_r=c_Groups_Ozero__class_Ozero(T_a)|V_a!=V_b|V_c=V_d|c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c))!=c_Groups_Oplus__class_Oplus(T_a,V_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_m,V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_m).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m).
% 13.93/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m).
% 13.93/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m).
% 13.93/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_ma_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.93/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_ma_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.93/13.85 0 [] -hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_ba_2)|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.93/13.85 0 [] -hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))|V_a_2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ba_2,B_d)|hBOOL(hAPP(V_P_2,B_d)).
% 13.93/13.85 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_ba_2)|V_a_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ba_2,$f3(V_ba_2,V_a_2,V_P_2)).
% 13.93/13.85 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_ba_2)| -hBOOL(hAPP(V_P_2,$f3(V_ba_2,V_a_2,V_P_2))).
% 13.93/13.85 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_a_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ba_2,$f3(V_ba_2,V_a_2,V_P_2)).
% 13.93/13.85 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,$f3(V_ba_2,V_a_2,V_P_2))).
% 13.93/13.85 0 [] -hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_ba_2)|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.93/13.85 0 [] -hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))|V_a_2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ba_2,B_d)|hBOOL(hAPP(V_P_2,B_d)).
% 13.93/13.85 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_ba_2)|V_a_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ba_2,$f4(V_ba_2,V_a_2,V_P_2)).
% 13.93/13.85 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_ba_2)| -hBOOL(hAPP(V_P_2,$f4(V_ba_2,V_a_2,V_P_2))).
% 13.93/13.85 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_a_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ba_2,$f4(V_ba_2,V_a_2,V_P_2)).
% 13.93/13.85 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_ba_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,$f4(V_ba_2,V_a_2,V_P_2))).
% 13.93/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_x_2,V_y_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2).
% 13.93/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_x_2,V_y_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2).
% 13.93/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_x_2,V_y_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2).
% 13.93/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_x_2,V_y_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2).
% 13.93/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_x_2,V_y_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__comm__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,V_a_2).
% 13.93/13.85 0 [] -class_Rings_Olinordered__ring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a),c_Groups_Ozero__class_Ozero(T_a)).
% 13.93/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n)).
% 13.93/13.85 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b))).
% 13.93/13.85 0 [] -class_Rings_Oring(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)!=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)|V_c_2=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2).
% 13.93/13.85 0 [] -class_Rings_Oring(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)|V_c_2!=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2).
% 13.93/13.85 0 [] -class_Rings_Oring(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)!=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2)=V_d_2.
% 13.93/13.85 0 [] -class_Rings_Oring(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2)!=V_d_2.
% 13.93/13.85 0 [] -class_Rings_Odivision__ring(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)!=V_b|V_a=c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c).
% 13.93/13.85 0 [] -class_Rings_Odivision__ring(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|V_b!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)|c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)=V_a.
% 13.93/13.85 0 [] -class_Fields_Ofield(T_a)|V_y_2=c_Groups_Ozero__class_Ozero(T_a)|V_z_2=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_x_2,V_y_2)!=c_Rings_Oinverse__class_Odivide(T_a,V_w_2,V_z_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2).
% 13.93/13.85 0 [] -class_Fields_Ofield(T_a)|V_y_2=c_Groups_Ozero__class_Ozero(T_a)|V_z_2=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_x_2,V_y_2)=c_Rings_Oinverse__class_Odivide(T_a,V_w_2,V_z_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2).
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b).
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))=c_Rings_Oinverse__class_Odivide(T_a,V_a,V_b).
% 13.93/13.85 0 [] -class_Rings_Odivision__ring(T_a)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)!=V_a_2|V_ba_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2).
% 13.93/13.85 0 [] -class_Rings_Odivision__ring(T_a)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=V_a_2|V_ba_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2).
% 13.93/13.85 0 [] -class_Rings_Odivision__ring(T_a)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)=V_ba_2.
% 13.93/13.85 0 [] -class_Rings_Odivision__ring(T_a)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)!=V_ba_2.
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)!=V_a_2|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2).
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)!=V_a_2|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=V_a_2|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=V_a_2|V_ba_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)|V_c_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=V_a_2|V_ba_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2!=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)=V_ba_2.
% 13.93/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2!=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)!=V_ba_2|V_c_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)!=V_ba_2|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.94/13.85 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 13.94/13.85 0 [] -class_RealVector_Oreal__field(T_a)|V_y=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_RealVector_Oof__real(T_a,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,V_y))=c_Rings_Oinverse__class_Odivide(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2)).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2)).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2),V_d_2).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2),V_d_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -c_Orderings_Oord__class_Oless(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),V_z).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y),V_x)|c_Orderings_Oord__class_Oless(T_a,V_z,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_ba_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_c,V_a),c_Rings_Oinverse__class_Odivide(T_a,V_c,V_b)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_c,V_a),c_Rings_Oinverse__class_Odivide(T_a,V_c,V_b)).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_y=c_Groups_Ozero__class_Ozero(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_z,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_y).
% 13.94/13.85 0 [] -class_Fields_Ofield(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_x,c_Rings_Oinverse__class_Odivide(T_a,V_y,V_z))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x),V_y),V_z).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_y=c_Groups_Ozero__class_Ozero(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),V_z)=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_y).
% 13.94/13.85 0 [] -class_Fields_Ofield(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),V_y)=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_z).
% 13.94/13.85 0 [] -class_Fields_Ofield(T_a)|V_y=c_Groups_Ozero__class_Ozero(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Rings_Oinverse__class_Odivide(T_a,V_w,V_z))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 13.94/13.85 0 [] -class_Fields_Ofield(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_x,c_Rings_Oinverse__class_Odivide(T_a,V_y,V_z))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x),V_y),V_z).
% 13.94/13.85 0 [] -class_Fields_Ofield(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),V_y)=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_z).
% 13.94/13.85 0 [] -class_Fields_Ofield(T_a)|V_y=c_Groups_Ozero__class_Ozero(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y),c_Rings_Oinverse__class_Odivide(T_a,V_w,V_z))=c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)).
% 13.94/13.85 0 [] -class_Groups_Ozero(T_a)|c_Groups_Ozero__class_Ozero(T_a)!=V_x_2|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Ozero(T_a)|c_Groups_Ozero__class_Ozero(T_a)=V_x_2|V_x_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)=c_Groups_Oplus__class_Oplus(T_a,V_c,V_a).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))=c_Groups_Oplus__class_Oplus(T_a,V_c,c_Groups_Oplus__class_Oplus(T_a,V_a,V_d)).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_d).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c)=c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)).
% 13.94/13.85 0 [] -class_Groups_Oab__semigroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c)=c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c)=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_b).
% 13.94/13.85 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ba_2)!=c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2)|V_ba_2=V_c_2.
% 13.94/13.85 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ba_2)=c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2)|V_ba_2!=V_c_2.
% 13.94/13.85 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_a_2)!=c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2)|V_ba_2=V_c_2.
% 13.94/13.85 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_a_2)=c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2)|V_ba_2!=V_c_2.
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)).
% 13.94/13.85 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)!=c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)|V_b=V_c.
% 13.94/13.85 0 [] -class_Groups_Ocancel__ab__semigroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)!=c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)|V_b=V_c.
% 13.94/13.85 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_b,V_a)!=c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)|V_b=V_c.
% 13.94/13.85 0 [] -class_Groups_Oone(T_a)|c_Groups_Oone__class_Oone(T_a)!=V_x_2|V_x_2=c_Groups_Oone__class_Oone(T_a).
% 13.94/13.85 0 [] -class_Groups_Oone(T_a)|c_Groups_Oone__class_Oone(T_a)=V_x_2|V_x_2!=c_Groups_Oone__class_Oone(T_a).
% 13.94/13.85 0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|V_a_2!=V_ba_2|V_c_2=V_d_2.
% 13.94/13.85 0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|V_a_2=V_ba_2|V_c_2!=V_d_2.
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)!=V_m|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m.
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)=V_n.
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_x.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2=V_nb_2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)|hBOOL(hAPP(hAPP(V_P_2,V_nb_2),V_ma_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)|V_s!=V_t.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)|V_m!=V_n.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n).
% 13.94/13.85 0 [] V_x=V_y|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] V_ma_2=V_nb_2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2).
% 13.94/13.85 0 [] V_ma_2!=V_nb_2| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] V_ma_2!=V_nb_2| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_i).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_i).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n).
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_ma_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x_2,V_y_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2).
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x_2,V_y_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x_2,V_y_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x_2,V_y_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 13.94/13.85 0 [] -class_Groups_Omonoid__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a.
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a.
% 13.94/13.85 0 [] -class_Groups_Ocomm__monoid__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=V_a.
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Groups_Ozero__class_Ozero(T_a)!=c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Groups_Ozero__class_Ozero(T_a)=c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Omonoid__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a.
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a.
% 13.94/13.85 0 [] -class_Groups_Ocomm__monoid__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a.
% 13.94/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_ba_2!=c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_a_2)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_ba_2=c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_a_2)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2),c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_ba_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2).
% 13.94/13.85 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)).
% 13.94/13.85 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)).
% 13.94/13.85 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.85 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=V_a.
% 13.94/13.85 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a,V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Oab__group__add(T_a)|V_a_2!=V_ba_2|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Oab__group__add(T_a)|V_a_2=V_ba_2|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=V_ba_2.
% 13.94/13.85 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=V_ba_2.
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2).
% 13.94/13.85 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b)=V_a.
% 13.94/13.85 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b)=V_a.
% 13.94/13.85 0 [] V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_nb_2))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_nb_2))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2).
% 13.94/13.85 0 [] V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2).
% 13.94/13.85 0 [] V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.85 0 [] -class_Groups_Omonoid__mult(T_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n).
% 13.94/13.85 0 [] -class_Power_Opower(T_a)|V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n)=c_Groups_Oone__class_Oone(T_a).
% 13.94/13.85 0 [] -class_Power_Opower(T_a)|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 13.94/13.85 0 [] -class_RealVector_Oreal__field(T_a)|c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d)),V_h)=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d),V_h)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Odivide(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c),V_h)),V_d)).
% 13.94/13.85 0 [] -class_Rings_Oring__1(T_a)|c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),c_Groups_Oone__class_Oone(T_a))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))),c_Groups_Ominus__class_Ominus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))|V_x_2!=c_Groups_Ozero__class_Ozero(T_a)|V_y_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)))|V_y_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Oring(T_a)|c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))!=c_Groups_Ozero__class_Ozero(T_a)|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))!=c_Groups_Ozero__class_Ozero(T_a)|V_y_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(T_a)|V_x_2!=c_Groups_Ozero__class_Ozero(T_a)|V_y_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] c_Complex_Oii!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,V_z)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n)=V_m.
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n)=V_m.
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_k)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)),V_k)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2)|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_k_2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_nb_2,V_k_2)|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_k_2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_nb_2,V_k_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_k)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_k),V_j).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z).
% 13.94/13.85 0 [] V_c_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_a_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_ba_2)|V_a_2=V_ba_2.
% 13.94/13.85 0 [] V_c_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_ba_2)|V_a_2!=V_ba_2.
% 13.94/13.85 0 [] V_c_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_c_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ba_2),V_c_2)|V_a_2=V_ba_2.
% 13.94/13.85 0 [] V_c_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_c_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ba_2),V_c_2)|V_a_2!=V_ba_2.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z)=V_z.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z1,V_z2)),V_w)=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)|V_ma_2=V_nb_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)|V_ma_2=V_nb_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_ma_2=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_nb_2=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_ma_2!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_nb_2!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_n.
% 13.94/13.85 0 [] c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)|V_ma_2=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)|V_nb_2=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)|V_ma_2!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_nb_2!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)=V_n.
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_y_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_y_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_y_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_y_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2).
% 13.94/13.85 0 [] V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_y_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_x_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_y_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_f_2,V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_f_2,V_ba_2),hAPP(V_f_2,V_a_2)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_ba_2,V_a_2))),V_a_2))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_f_2,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(V_f_2,V_ba_2),hAPP(V_f_2,V_a_2)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_ba_2,V_a_2))),V_ba_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)).
% 13.94/13.85 0 [] V_m!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)|V_n=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.85 0 [] V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(T_a,V_c,V_d)).
% 13.94/13.85 0 [] c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.94/13.85 0 [] c_Complex_Oii!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2))|V_x_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2))|V_x_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.85 0 [] -class_Power_Opower(T_a)|c_Power_Opower__class_Opower(T_a)=c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)).
% 13.94/13.85 0 [] c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_r))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_a,V_r).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)=V_z.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint))=V_z.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)),V_w)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_nb_2)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|V_ma_2=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_nb_2)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|V_nb_2=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_nb_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)|V_ma_2!=c_Groups_Oone__class_Oone(tc_Int_Oint)|V_nb_2!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)),V_w)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m).
% 13.94/13.85 0 [] hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_one_2.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_k))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j)),V_u),V_k).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f5(V_a,V_n)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),$f5(V_a,V_n)),V_n)=V_a.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_y)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_y),V_n)!=V_a|B_y=$f5(V_a,V_n).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f6(V_a,V_n)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),$f6(V_a,V_n)),V_n)=V_a.
% 13.94/13.85 0 [] c_Complex_Oexpi(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex).
% 13.94/13.85 0 [] c_Complex_Oexpi(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_a,V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(V_a)),c_Complex_Oexpi(V_b)).
% 13.94/13.85 0 [] c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Complex_Orcis(V_r1,V_a),c_Complex_Orcis(V_r2,V_b))=c_Complex_Orcis(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_r1,V_r2),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_a,V_b)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,V_z))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_z)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2),V_z3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z2,V_z3)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_j,V_k)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)|V_w_2=V_z_2.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|V_w_2!=V_z_2.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=V_z.
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)=V_z.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z),V_z)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 13.94/13.85 0 [] c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.85 0 [] c_Complex_Orcis(V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_RealVector_Oof__real(tc_Complex_Ocomplex,V_r).
% 13.94/13.85 0 [] c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(V_r1,V_a)),c_Complex_Orcis(V_r2,V_b))=c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r1),V_r2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a,V_b)).
% 13.94/13.85 0 [] c_Complex_Orcis(V_r,V_a)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,V_r)),c_Complex_Ocis(V_a)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x_2!=c_Groups_Ozero__class_Ozero(T_a)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x_2!=c_Groups_Ozero__class_Ozero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)).
% 13.94/13.85 0 [] -class_Rings_Ocomm__ring__1(T_a)|c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semiring__1__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_u))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_v))|c_Groups_Oplus__class_Oplus(T_a,V_u,V_v)!=c_Groups_Oone__class_Oone(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_ma_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_nb_2)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_ma_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_nb_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))!=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|V_a=V_b.
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_N))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a)),V_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)),V_m)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_j),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Nat_OSuc(V_j)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),V_ma_2)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),V_ma_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_ma_2)),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_ma_2)),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_m)),V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2))|V_nb_2=V_ma_2.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2))|V_nb_2!=V_ma_2.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_m)),V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] -class_Int_Onumber(T_a)| -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Int_Onumber__class_Onumber__of(T_a,V_v_2)).
% 13.94/13.85 0 [] -class_Int_Onumber(T_a)| -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Int_Onumber__class_Onumber__of(T_a,V_v_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)).
% 13.94/13.85 0 [] -class_Int_Onumber(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=V_x_2|V_x_2=c_Int_Onumber__class_Onumber__of(T_a,V_w_2).
% 13.94/13.85 0 [] -class_Int_Onumber(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=V_x_2|V_x_2!=c_Int_Onumber__class_Onumber__of(T_a,V_w_2).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)| -class_Int_Oring__char__0(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_x_2)!=c_Int_Onumber__class_Onumber__of(T_a,V_y_2)|V_x_2=V_y_2.
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)| -class_Int_Oring__char__0(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_x_2)=c_Int_Onumber__class_Onumber__of(T_a,V_y_2)|V_x_2!=V_y_2.
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)| -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2)),c_Int_Onumber__class_Onumber__of(T_a,V_y_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_x_2),V_y_2)).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)| -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2)),c_Int_Onumber__class_Onumber__of(T_a,V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_x_2),V_y_2)).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)| -class_RealVector_Oreal__algebra__1(T_a)|c_RealVector_Oof__real(T_a,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_w))=c_Int_Onumber__class_Onumber__of(T_a,V_w).
% 13.94/13.85 0 [] V_n!=c_Nat_OSuc(V_n).
% 13.94/13.85 0 [] c_Nat_OSuc(V_n)!=V_n.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_n)),V_n)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),V_ma_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),V_ma_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),c_Nat_OSuc(V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|V_ma_2=c_Nat_OSuc(V_nb_2).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),c_Nat_OSuc(V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),c_Nat_OSuc(V_nb_2)))|V_ma_2!=c_Nat_OSuc(V_nb_2).
% 13.94/13.85 0 [] c_Nat_OSuc(V_nat_2)!=c_Nat_OSuc(V_nat_H_2)|V_nat_2=V_nat_H_2.
% 13.94/13.85 0 [] c_Nat_OSuc(V_nat_2)=c_Nat_OSuc(V_nat_H_2)|V_nat_2!=V_nat_H_2.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),c_Nat_OSuc(V_ma_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_nb_2)),c_Nat_OSuc(V_ma_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Nat_OSuc(V_n))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Nat_OSuc(V_n)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|V_m=c_Nat_OSuc(V_n).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(V_m)),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 13.94/13.85 0 [] c_Nat_OSuc(V_x)!=c_Nat_OSuc(V_y)|V_x=V_y.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2)),c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_c_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2)).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_c_2)),c_Groups_Oplus__class_Oplus(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2)).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2)),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2)).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_a_2)),c_Groups_Oplus__class_Oplus(T_a,V_c_2,V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2)).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c))).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b))).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d))).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b)).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b)).
% 13.94/13.85 0 [] c_Nat_OSuc(V_m)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(V_m).
% 13.94/13.85 0 [] c_Nat_OSuc(V_nat_H_1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Nat_OSuc(V_m)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(V_nat_H).
% 13.94/13.85 0 [] c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(V_m).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),V_d_2)).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),V_d_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|V_m=V_n.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Nat_OSuc(V_m)=V_n|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m))|V_m=V_n.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2))|V_nb_2=V_ma_2.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2))|V_nb_2!=V_ma_2.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),c_Nat_OSuc(V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),c_Nat_OSuc(V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(V_ma_2)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2)|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n),c_Nat_OSuc(V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_k).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),V_y)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 13.94/13.85 0 [] V_m!=V_n|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|V_m=V_n|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))|V_x_2=V_y_2.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2)|V_x_2=V_y_2.
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))|V_x_2!=V_y_2.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),V_z))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k)),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k)),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k)),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k)),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_n)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_l))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,$f7(V_nb_2,V_ma_2)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2))|V_nb_2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m))).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2),V_w_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)|V_z_2!=V_w_2.
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2),V_w_2))|V_z_2=V_w_2.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_l))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i),V_j))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_i)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_j))).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_m)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_l)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_l))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_n))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i))=V_i.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2)!=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2)|V_ma_2=V_nb_2.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2)|V_ma_2!=V_nb_2.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_m))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_n))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_x)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_y))).
% 13.94/13.85 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Nat_OSuc(V_x_2))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2).
% 13.94/13.85 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Nat_OSuc(V_x_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_r))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_r),c_Groups_Oone__class_Oone(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_r),c_Nat_OSuc(V_n))),V_r)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_N))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Oone__class_Oone(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_ba_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_y_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x_2),V_y_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_ba_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_ba_2),V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x_2),V_y_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 13.94/13.85 0 [] -class_Groups_Omonoid__mult(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_p),V_n))|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),V_p))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_p))),V_y).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Nat_OSuc(V_nb_2))=hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),V_nb_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))),c_Groups_Ozero__class_Ozero(T_a)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))),c_Groups_Ozero__class_Ozero(T_a)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a)))|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))),c_Groups_Ozero__class_Ozero(T_a)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))),c_Groups_Ozero__class_Ozero(T_a)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))|V_x_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.94/13.85 0 [] -class_Int_Onumber(T_b)| -class_Rings_Osemiring(T_b)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),c_Groups_Oplus__class_Oplus(T_b,V_b,V_c))=c_Groups_Oplus__class_Oplus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_c)).
% 13.94/13.85 0 [] -class_Int_Onumber(T_b)| -class_Rings_Osemiring(T_b)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Groups_Oplus__class_Oplus(T_b,V_a,V_b)),c_Int_Onumber__class_Onumber__of(T_b,V_v))=c_Groups_Oplus__class_Oplus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),c_Int_Onumber__class_Onumber__of(T_b,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),c_Int_Onumber__class_Onumber__of(T_b,V_v))).
% 13.94/13.85 0 [] -class_Int_Onumber(T_b)| -class_Rings_Oring(T_b)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Groups_Ominus__class_Ominus(T_b,V_a,V_b)),c_Int_Onumber__class_Onumber__of(T_b,V_v))=c_Groups_Ominus__class_Ominus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),c_Int_Onumber__class_Onumber__of(T_b,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),c_Int_Onumber__class_Onumber__of(T_b,V_v))).
% 13.94/13.85 0 [] -class_Int_Onumber(T_b)| -class_Rings_Oring(T_b)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),c_Groups_Ominus__class_Ominus(T_b,V_b,V_c))=c_Groups_Ominus__class_Ominus(T_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),c_Int_Onumber__class_Onumber__of(T_b,V_v)),V_c)).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)| -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,V_y_2).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)| -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_x_2),c_Int_Onumber__class_Onumber__of(T_a,V_y_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,V_y_2).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_z))=c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)),V_z).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w))=c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w))=c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w)),V_z))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),c_Int_Onumber__class_Onumber__of(T_a,V_w))=c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_v)),c_Int_Onumber__class_Onumber__of(T_a,V_w)).
% 13.94/13.85 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))).
% 13.94/13.85 0 [] -class_Rings_Oordered__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))).
% 13.94/13.85 0 [] -class_Rings_Oordered__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))).
% 13.94/13.85 0 [] -class_Rings_Oordered__comm__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))).
% 13.94/13.85 0 [] -class_Rings_Oordered__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))).
% 13.94/13.85 0 [] -class_Rings_Oordered__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))).
% 13.94/13.85 0 [] -class_Rings_Oordered__ring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))).
% 13.94/13.85 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__ring(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))).
% 13.94/13.85 0 [] -class_Power_Opower(T_a)| -class_Rings_Osemiring__0(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_OSuc(V_n))=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_a,V_c))).
% 13.94/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_c))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_a,V_c))).
% 13.94/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_y_2))|c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_y_2))|c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_y_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_y_2))|c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2)=c_Groups_Ozero__class_Ozero(T_a)|V_x_2!=c_Groups_Ozero__class_Ozero(T_a)|V_y_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.85 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.85 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)).
% 13.94/13.85 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)).
% 13.94/13.85 0 [] -class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_v,V_w))=c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Int_Onumber__class_Onumber__of(T_a,V_w)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q)).
% 13.94/13.85 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q)).
% 13.94/13.85 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a).
% 13.94/13.85 0 [] -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c)),c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a,V_c)),c_Rings_Oinverse__class_Odivide(T_a,V_b,V_c))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 13.94/13.85 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_a_2,V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|V_x=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=c_Nat_OSuc($f8(V_nb_2,V_ma_2)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f8(V_nb_2,V_ma_2),V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))|V_ma_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_nb_2))|V_ma_2!=c_Nat_OSuc(B_j)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_nb_2).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)|V_nb_2=c_Nat_OSuc($f9(V_nb_2)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)|V_nb_2!=c_Nat_OSuc(B_m).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_nb_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_nb_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_nb_2)|V_ma_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a)),V_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_nb_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_nb_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_nb_2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|V_nb_2=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,$f10(V_nb_2,V_ma_2))).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2)|V_nb_2!=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k)).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_i))).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_m))).
% 13.94/13.85 0 [] c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),c_Nat_OSuc(V_m)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_m)),V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Nat_OSuc(V_n))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)).
% 13.94/13.85 0 [] c_Nat_OSuc(V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n).
% 13.94/13.85 0 [] c_Nat_OSuc(V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_n.
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_nb_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_nb_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_c),V_a))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a,V_c),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_b,V_c)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_ma_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_nb_2,V_k_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.85 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(T_a,V_x))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)!=V_k_2|V_j_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_i_2).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)=V_k_2|V_j_2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_i_2).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)=V_m.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_j_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2)),V_j_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_j_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2)),V_j_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=V_m.
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_k))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)),V_i_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2))).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)),V_i_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k),V_j))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j).
% 13.94/13.85 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_H),V_z))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_H,V_z_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z)).
% 13.94/13.85 0 [] -class_Rings_Olinordered__idom(T_a)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_n)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_y_2)).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_y_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2)).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x_2,V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_y_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.85 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_2,V_y_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.85 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_2,V_y_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.85 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_ma_2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_x_2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_ma_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_ma_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.85 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_ma_2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_x_2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))!=V_a_2|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))!=V_a_2|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))=V_a_2|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))=V_a_2|V_ba_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))=V_a_2|V_ba_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)!=c_Int_Onumber__class_Onumber__of(T_a,V_w_2)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)!=c_Int_Onumber__class_Onumber__of(T_a,V_w_2)|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=c_Int_Onumber__class_Onumber__of(T_a,V_w_2)|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=c_Int_Onumber__class_Onumber__of(T_a,V_w_2)|V_ba_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)|V_c_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)=c_Int_Onumber__class_Onumber__of(T_a,V_w_2)|V_ba_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)=V_ba_2.
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)!=V_ba_2|V_c_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)!=V_ba_2|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|V_a_2!=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))=V_ba_2.
% 13.94/13.85 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|V_a_2!=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))!=V_ba_2|c_Int_Onumber__class_Onumber__of(T_a,V_w_2)=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_Int_Onumber(T_a)|V_a_2=c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))!=V_ba_2|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Int_Onumber__ring(T_a)|c_Groups_Oplus__class_Oplus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_v),c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w),V_c))=c_Groups_Ominus__class_Ominus(T_a,c_Int_Onumber__class_Onumber__of(T_a,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)),V_c).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_d))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),V_a_2)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),V_a_2)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),V_ba_2)).
% 13.94/13.86 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)).
% 13.94/13.86 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)).
% 13.94/13.86 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_c))|c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)).
% 13.94/13.86 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -c_Orderings_Oord__class_Oless(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)).
% 13.94/13.86 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),c_Groups_Ozero__class_Ozero(T_a)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)))| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a)))|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a)))|V_y_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a)))|V_x_2!=c_Groups_Ozero__class_Ozero(T_a)|V_y_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Rings_Olinordered__ring(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_y))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),c_Groups_Oone__class_Oone(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_y))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),c_Groups_Oone__class_Oone(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n))).
% 13.94/13.86 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))!=c_Groups_Ozero__class_Ozero(T_a)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Rings_Oordered__ring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2))).
% 13.94/13.86 0 [] -class_Rings_Oordered__ring(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_ba_2,V_a_2)),V_e_2),V_d_2))).
% 13.94/13.86 0 [] -class_Rings_Oordered__ring(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2)),V_d_2)).
% 13.94/13.86 0 [] -class_Rings_Oordered__ring(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_c_2)),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ba_2),V_e_2),V_d_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ba_2)),V_e_2),V_c_2)),V_d_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))| -c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)| -c_Orderings_Oord__class_Oless(T_a,V_w,V_z)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_w),V_z))|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_w),V_z))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_z)),c_Rings_Oinverse__class_Odivide(T_a,V_y,V_w))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),c_Groups_Ozero__class_Ozero(T_a)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),c_Groups_Ozero__class_Ozero(T_a)))| -c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y))).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(V_i)),V_n).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=V_n.
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|V_x_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_nb_2)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.86 0 [] -class_Groups_Omonoid__mult(T_a)| -class_Rings_Olinordered__ring(T_a)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_n)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_x_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_k_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),V_nb_2)).
% 13.94/13.86 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)|V_x_2=c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),$f11(V_x_2))).
% 13.94/13.86 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)|V_x_2!=c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),B_y)).
% 13.94/13.86 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)|V_x_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),$f12(V_x_2)).
% 13.94/13.86 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x_2)|V_x_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),B_y).
% 13.94/13.86 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(V_a)),c_Complex_Ocis(V_b))=c_Complex_Ocis(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_a,V_b)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y)))).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),V_y_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_RealVector_Onorm__class_Onorm(T_a,V_y)))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2)),V_nb_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2)),V_nb_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j),V_i))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j)),V_u),V_m),V_n).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2)=V_nb_2.
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2)!=V_nb_2.
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_i)),V_u),V_n)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)|V_ma_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2)|V_ma_2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_2,c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_2,c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)))).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)))).
% 13.94/13.86 0 [] c_Complex_Ocis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] c_Complex_Ocis(V_a)=c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_a).
% 13.94/13.86 0 [] c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Complex_Ocis(V_a),c_Complex_Ocis(V_b))=c_Complex_Ocis(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_a,V_b)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_w)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_w,V_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z)))).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_b,V_a)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_b))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_a))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_c_2),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))|c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Int_Onumber__class_Onumber__of(T_a,V_w_2),c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -class_Int_Onumber(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_ba_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),c_Int_Onumber__class_Onumber__of(T_a,V_w_2)),V_ba_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),c_Groups_Oone__class_Oone(T_a)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semiring__1(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_u))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_v))|c_Groups_Oplus__class_Oplus(T_a,V_u,V_v)!=c_Groups_Oone__class_Oone(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)).
% 13.94/13.86 0 [] -class_Power_Opower(T_a)| -class_Rings_Osemiring__0(T_a)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))=c_Groups_Oone__class_Oone(T_a).
% 13.94/13.86 0 [] -class_Power_Opower(T_a)| -class_Rings_Osemiring__0(T_a)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y)),V_z)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_z),c_Rings_Oinverse__class_Odivide(T_a,V_x,V_y))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2),c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_ba_2,V_c_2)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),V_ba_2)).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_c))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_c,V_a)),c_Rings_Oinverse__class_Odivide(T_a,V_c,V_b))).
% 13.94/13.86 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),c_Groups_Ozero__class_Ozero(T_a)))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Rings_Oinverse__class_Odivide(T_a,V_c,V_a)),c_Rings_Oinverse__class_Odivide(T_a,V_c,V_b))).
% 13.94/13.86 0 [] -class_Rings_Olinordered__semidom(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)!=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_b))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|V_a=V_b.
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2)),c_Groups_Ozero__class_Ozero(T_a))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w_2))| -c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=V_n.
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|V_n=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)),c_Groups_Ozero__class_Ozero(T_a)))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)),c_Groups_Ozero__class_Ozero(T_a)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a)))|V_x_2=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)),c_Groups_Ozero__class_Ozero(T_a)))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),c_Groups_Ozero__class_Ozero(T_a))).
% 13.94/13.86 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_nb_2)),c_Groups_Ozero__class_Ozero(T_a)))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_nb_2)|V_x_2!=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=V_n.
% 13.94/13.86 0 [] V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)).
% 13.94/13.86 0 [] -class_Fields_Ofield(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=c_Rings_Oinverse__class_Odivide(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d))))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_nb_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2),V_i_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_nb_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2),V_j_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_nb_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)|V_a!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)|V_a!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 13.94/13.86 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H),V_q)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q),V_q_H)).
% 13.94/13.86 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q),V_q_H)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w),V_w)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w),V_w)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z),V_w))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w),V_z)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_z),V_w))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w),V_z)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k_2)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2),V_l_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k_2)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2),V_l_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i),V_j))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_j),V_k))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i),V_k)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_i),V_j))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_j),V_k))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_i),V_k)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z),V_w))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w),V_z))|V_z=V_w.
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_z),V_w))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w),V_z))|V_z=V_w.
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_n)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m)).
% 13.94/13.86 0 [] V_m!=V_n|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_j))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j),V_k))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i),V_k)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|V_m=V_n.
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k_2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k_2),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_l_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2).
% 13.94/13.86 0 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w))=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_w)).
% 13.94/13.86 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w))=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)).
% 13.94/13.86 0 [] c_Complex_Oii!=c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,V_w).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H),V_q)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_c),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),c_RealVector_Onorm__class_Onorm(T_a,V_y))))|V_x=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))).
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_k)=V_k.
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_l_2))|V_l_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,$f13(V_l_2,V_k_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_l_2))|V_l_2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,B_n).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_y))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_x)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__algebra__1(T_a)| -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f14(T_a)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__algebra__1(T_a)| -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),$f14(T_a)))).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_b)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,$f15(V_g_2,V_f_2,T_a,T_b))),hAPP(V_g_2,$f15(V_g_2,V_f_2,T_a,T_b)))).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|V_x_2!=V_y_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|V_x_2!=V_y_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|V_x_2=V_y_2| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)|V_x!=V_y|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y)).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|V_x_2=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|V_x_2!=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Oord(T_a)|V_a!=V_b| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_c))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_c)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|V_a!=V_b| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_a)).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))|V_b!=V_c|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_c)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))|V_b!=V_c|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c),V_a)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))|V_x=V_y.
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_z))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_z)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|V_x=V_y.
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_z),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_z),V_x)).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_b)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x)).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)|V_b!=V_c|c_Orderings_Oord__class_Oless(T_a,V_c,V_a).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|V_b!=V_c|c_Orderings_Oord__class_Oless(T_a,V_a,V_c).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless(T_a,V_c,V_b)|c_Orderings_Oord__class_Oless(T_a,V_c,V_a).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless(T_a,V_a,V_c).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_y!=V_x.
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x!=V_y.
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x!=V_y.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|V_x_2=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|V_x_2=V_y_2|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|V_x_2!=V_y_2| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|V_x_2!=V_y_2| -c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_x).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))| -c_Orderings_Oord__class_Oless(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))| -c_Orderings_Oord__class_Oless(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_z),V_y))|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_z))|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))|V_a=V_b|c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))|V_a=V_b|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y)).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|V_a=V_b| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_b),V_a))|c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|V_a=V_b| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|V_x_2=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|V_x_2!=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))|c_Orderings_Oord__class_Oless(T_a,V_x,V_y).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|V_x_2!=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2)).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|V_x_2=V_y_2.
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))| -c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)).
% 13.94/13.86 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__algebra__1(T_a)| -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),$f16(T_a))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__algebra__1(T_a)| -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),$f16(T_a)))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f17(V_y,T_a)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__field(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,B_x,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),$f17(V_y,T_a)))).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2)).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_g_2),V_f_2)).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_b)|c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2),V_g_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_g_2),V_f_2)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f18(T_a)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_a),B_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_a)),c_RealVector_Onorm__class_Onorm(T_a,B_b))),$f18(T_a)))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f19(V_x,T_a)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),$f19(V_x,T_a)))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f20(V_y,T_a)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),$f20(V_y,T_a)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y),V_x))|c_Nat__Transfer_Otsub(V_x,V_y)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y),V_x))|c_Nat__Transfer_Otsub(V_x,V_y)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y),V_x))|c_Nat__Transfer_Otsub(V_x,V_y)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m),V_k)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__algebra__1(T_a)| -class_RealVector_Oreal__normed__vector(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),$f21(T_a)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y))).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,V_a,V_a)=c_Groups_Oone__class_Oone(T_a).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_c!=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b)=V_a.
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b)=V_a.
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b).
% 13.94/13.86 0 [] V_a=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_a)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a.
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ba_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ba_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a),V_a_H))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a),V_a_H))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_a)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ba_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ba_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,V_b)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_ba_2),V_a_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_ba_2),V_a_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2),V_i_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2),V_i_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ba_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_k),V_x).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_c)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),V_c).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b)=c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b)=c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_a),V_b)=c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)).
% 13.94/13.86 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b)=c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_k_2)|V_nb_2!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j)|hBOOL(hAPP(V_P_2,B_i)).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,X2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_nb_2!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),X1),X2)|hBOOL(hAPP(V_P_2,X1)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f22(V_k_2,V_nb_2,V_P_2)))| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f22(V_k_2,V_nb_2,V_P_2),V_k_2)| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f23(V_k_2,V_nb_2,V_P_2)),$f22(V_k_2,V_nb_2,V_P_2))| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f24(V_k_2,V_nb_2,V_P_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f25(V_k_2,V_nb_2,V_P_2)),$f24(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f23(V_k_2,V_nb_2,V_P_2)))| -hBOOL(hAPP(V_P_2,$f25(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] V_a_1!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y),V_r_1)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_b_1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1)=V_y.
% 13.94/13.86 0 [] V_a_1!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y),V_r_1)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)|V_b_1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1)=V_y.
% 13.94/13.86 0 [] V_a_1!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y),V_r_1)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_b_1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1)=V_y.
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f26(V_nb_2,V_P_2),V_nb_2).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,V_nb_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_i),$f26(V_nb_2,V_P_2)))| -hBOOL(hAPP(V_P_2,B_i)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,V_nb_2))|hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,$f26(V_nb_2,V_P_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__field(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),$f27(V_y,T_a))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__field(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Odivide(T_a,B_x,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),$f27(V_y,T_a)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_k)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_k))).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)),V_m)).
% 13.94/13.86 0 [] V_k!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] V_k=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=V_m.
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,V_b),V_c).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_n)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_m))).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m),V_n)=V_m.
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_n)=V_m.
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m).
% 13.94/13.86 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Nat_OSuc(V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 13.94/13.86 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Nat_OSuc(V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_k_2)|V_nb_2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i),B_j)|hBOOL(hAPP(V_P_2,B_i)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f28(V_k_2,V_nb_2,V_P_2),V_k_2).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),$f29(V_k_2,V_nb_2,V_P_2)),$f28(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(V_P_2,$f29(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f28(V_k_2,V_nb_2,V_P_2),V_k_2).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_nb_2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),$f29(V_k_2,V_nb_2,V_P_2)),$f28(V_k_2,V_nb_2,V_P_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_nb_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,$f29(V_k_2,V_nb_2,V_P_2))).
% 13.94/13.86 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x)|c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))=V_x.
% 13.94/13.86 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,V_x)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=V_x.
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),$f30(V_nb_2,V_ma_2,V_P_2))),V_ma_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc($f30(V_nb_2,V_ma_2,V_P_2)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(V_P_2,$f30(V_nb_2,V_ma_2,V_P_2))).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),$f30(V_nb_2,V_ma_2,V_P_2))),V_ma_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc($f30(V_nb_2,V_ma_2,V_P_2)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hBOOL(hAPP(V_P_2,$f30(V_nb_2,V_ma_2,V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),B_q)),V_ma_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc(B_q)))| -hBOOL(hAPP(V_P_2,B_q)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_q_2)),V_ma_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc(V_q_2)))|V_q_2=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),V_q_2)),V_ma_2))|V_q_2!=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_nb_2),c_Nat_OSuc(V_q_2)))|V_q_2!=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_ma_2,V_nb_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),$f31(T_a))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_a),B_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_a)),c_RealVector_Onorm__class_Onorm(T_a,B_b))),$f31(T_a)))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),$f32(V_x,T_a))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),B_x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),$f32(V_x,T_a)))).
% 13.94/13.86 0 [] c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H))=hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),$f33(V_y,T_a))).
% 13.94/13.86 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),$f33(V_y,T_a)))).
% 13.94/13.86 0 [] hAPP(c_Int_Onat,V_i_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] hAPP(c_Int_Onat,V_i_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onat,V_z)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_x_2),V_y_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_x_2),V_y_2)).
% 13.94/13.86 0 [] hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 13.94/13.86 0 [] c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] hAPP(c_Int_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_w))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w).
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)=hAPP(c_Int_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v)).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,B_x1))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f34(V_P_2))).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,B_x1))|hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,$f34(V_P_2)))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,$f35(V_P_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))| -hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))).
% 13.94/13.86 0 [] -hBOOL(hAPP(V_P_2,$f36(V_P_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))|hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,B_x1))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f37(V_P_2))).
% 13.94/13.86 0 [] hBOOL(hAPP(V_P_2,B_x1))| -hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,$f37(V_P_2)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))|hAPP(c_Int_Onat,V_x_2)!=hAPP(c_Int_Onat,V_y_2)|V_x_2=V_y_2.
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))|hAPP(c_Int_Onat,V_x_2)=hAPP(c_Int_Onat,V_y_2)|V_x_2!=V_y_2.
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))|hAPP(c_Int_Onat,V_z_2)!=hAPP(c_Int_Onat,V_z_H_2)|V_z_2=V_z_H_2.
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))|hAPP(c_Int_Onat,V_z_2)=hAPP(c_Int_Onat,V_z_H_2)|V_z_2!=V_z_H_2.
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_x_2),hAPP(c_Int_Onat,V_y_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,V_y_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_x_2),hAPP(c_Int_Onat,V_y_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x_2,V_y_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2),hAPP(c_Int_Onat,V_z_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_w_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_w_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_y)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))|hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_z_H))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,V_z),hAPP(c_Int_Onat,V_z_H)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))|hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_H),V_z))|hAPP(c_Int_Onat,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_z_H))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,V_z),hAPP(c_Int_Onat,V_z_H)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))|hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))|hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))|c_Nat_OSuc(hAPP(c_Int_Onat,V_z))=hAPP(c_Int_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z)).
% 13.94/13.86 0 [] c_Int_Onat__aux(V_i,V_n)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,V_i),V_n).
% 13.94/13.86 0 [] c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w)).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_w))).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)),V_n)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)),V_n)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v)),V_n)).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(V_Z_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_Z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(V_Z_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_Z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(V_x_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(V_x_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(V_z)|hAPP(c_Int_Onat,V_z)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)!=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)| -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)!=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2))| -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2))|c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)!=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2))|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2))|V_v_2=V_v_H_2.
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2))|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2))|V_v_2!=V_v_H_2.
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2))|c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2)).
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2))|c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_v_2!=V_v_H_2.
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2)).
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2))|V_v_2!=V_v_H_2.
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2)).
% 13.94/13.86 0 [] c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_2)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_v_2!=V_v_H_2.
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H),V_k))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H),V_k).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))| -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H),V_k))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),V_k).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H),V_k))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_v,V_v_H)),V_k).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v_H))=hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v_H))).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),V_n))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v),V_n))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_Osucc(V_v)),V_n).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Nat_OSuc(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_Nat_OSuc(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_Osucc(V_v)).
% 13.94/13.86 0 [] c_Int_Osucc(V_k)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 13.94/13.86 0 [] -class_Int_Onumber__ring(T_a)|c_Int_Onumber__class_Onumber__of(T_a,c_Int_Osucc(V_k))=c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(T_a,V_k)).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_n))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))|c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_n)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_n)).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_n))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))|c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_n)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_n)).
% 13.94/13.86 0 [] c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.86 0 [] c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.86 0 [] c_RComplete_Onatfloor(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_n))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_n).
% 13.94/13.86 0 [] c_RComplete_Onatceiling(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_n))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_n).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|c_RComplete_Onatceiling(V_x)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_RComplete_Onatfloor(V_y))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),V_y))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x)),c_RComplete_Onatceiling(V_y))).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(V_x))).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(V_x))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|c_RComplete_Onatfloor(V_x)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(V_x_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(V_x_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_a))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_b))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))|c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))|c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_nb_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_nb_2)),c_RComplete_Onatfloor(V_x_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_nb_2)),V_x_2)).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_nb_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_nb_2)),c_RComplete_Onatfloor(V_x_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_nb_2)),V_x_2)).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_nb_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_nb_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_nb_2))).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_nb_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_nb_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_nb_2))).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))|c_RComplete_Onatceiling(V_x)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_y)|c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_y)))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_y).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 13.94/13.86 0 [] c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n))=V_n.
% 13.94/13.86 0 [] c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n))=V_n.
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x)),V_a)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x)),V_a))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x),c_RComplete_Onatfloor(V_a))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))),V_x)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2)).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2)).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)!=c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)|V_nb_2=V_ma_2.
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)=c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)|V_nb_2!=V_ma_2.
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n).
% 13.94/13.86 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n)=c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.94/13.86 0 [] c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|V_nb_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|V_nb_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_RealDef_Oreal(tc_Nat_Onat,V_x)))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 13.94/13.86 0 [] V_x!=c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))|c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n).
% 13.94/13.86 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(V_a)),V_n)=c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_a)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_nb_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_nb_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_nb_2).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2))).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_nb_2,V_ma_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_ma_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_nb_2),V_ma_2))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_nb_2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_ma_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_a_2),c_RComplete_Onatfloor(V_x_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)),V_x_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_a_2),c_RComplete_Onatfloor(V_x_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)),V_x_2)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),V_a_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_RealDef_Oreal(tc_Nat_Onat,V_a_2))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2)),V_a_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x_2),c_RealDef_Oreal(tc_Nat_Onat,V_a_2))).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a)),V_x))|c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a).
% 13.94/13.86 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a)),V_x))|c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a).
% 13.94/13.86 0 [] c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))),V_a))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(V_a)),c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_a))).
% 13.94/13.86 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(V_r,V_a)),V_n)=c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_r),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_a)).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n).
% 13.94/13.86 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_RealDef_Oreal(tc_Nat_Onat,V_x)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x))))).
% 13.94/13.86 0 [] -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_RealDef_Oreal(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.86 0 [] c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,V_v))|c_RealDef_Oreal(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,V_v))=c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,V_v).
% 13.94/13.86 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),V_x))|c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a).
% 13.94/13.86 0 [] -class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)).
% 13.94/13.86 0 [] -class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)).
% 13.94/13.86 0 [] -class_Orderings_Oord(T_1)|class_Orderings_Oord(tc_fun(T_2,T_1)).
% 13.94/13.86 0 [] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring__strict(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oordered__comm__monoid__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Olinordered__ab__group__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Oordered__cancel__semiring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__ring__strict(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Oring__no__zero__divisors(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Oordered__comm__semiring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring__1(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oordered__ab__group__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Ocancel__semigroup__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__semidom(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oab__semigroup__mult(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Ocomm__monoid__mult(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oab__semigroup__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Oordered__semiring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Ono__zero__divisors(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Ocomm__monoid__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__ring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Olinordered__idom(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Ocomm__semiring__1(tc_Int_Oint).
% 13.94/13.86 0 [] class_Divides_Osemiring__div(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Ocomm__semiring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oab__group__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Ozero__ne_q__one(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Oordered__ring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 13.94/13.86 0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Omonoid__mult(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Ocomm__ring__1(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Omonoid__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Osemiring__0(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Ogroup__add(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Omult__zero(tc_Int_Oint).
% 13.94/13.86 0 [] class_Orderings_Oorder(tc_Int_Oint).
% 13.94/13.86 0 [] class_Int_Oring__char__0(tc_Int_Oint).
% 13.94/13.86 0 [] class_Int_Onumber__ring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Osemiring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Orderings_Oord(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Oring__1(tc_Int_Oint).
% 13.94/13.86 0 [] class_Power_Opower(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Ozero(tc_Int_Oint).
% 13.94/13.86 0 [] class_Rings_Oring(tc_Int_Oint).
% 13.94/13.86 0 [] class_Int_Onumber(tc_Int_Oint).
% 13.94/13.86 0 [] class_Groups_Oone(tc_Int_Oint).
% 13.94/13.86 0 [] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring__strict(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Oordered__cancel__semiring(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Oordered__comm__semiring(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Ocancel__semigroup__add(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Olinordered__semidom(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Oab__semigroup__mult(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Ocomm__monoid__mult(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Oab__semigroup__add(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Oordered__semiring(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Ono__zero__divisors(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Ocomm__monoid__add(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Ocomm__semiring__1(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Divides_Osemiring__div(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Ocomm__semiring(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Ozero__ne_q__one(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Orderings_Opreorder(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Orderings_Olinorder(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Omonoid__mult(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Omonoid__add(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Osemiring__0(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Omult__zero(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Orderings_Oorder(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Rings_Osemiring(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Orderings_Oord(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Power_Opower(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Ozero(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Int_Onumber(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Groups_Oone(tc_Nat_Onat).
% 13.94/13.86 0 [] class_Orderings_Opreorder(tc_HOL_Obool).
% 13.94/13.86 0 [] class_Orderings_Oorder(tc_HOL_Obool).
% 13.94/13.86 0 [] class_Orderings_Oord(tc_HOL_Obool).
% 13.94/13.86 0 [] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__semiring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__semidom(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oab__semigroup__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Fields_Olinordered__field(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Oordered__semiring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Ono__zero__divisors(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__ring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Olinordered__idom(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Odivision__ring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Ocomm__semiring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oab__group__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Ozero__ne_q__one(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Oordered__ring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Omonoid__mult(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Ocomm__ring__1(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Omonoid__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Osemiring__0(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Ogroup__add(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Omult__zero(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Int_Oring__char__0(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Osemiring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Orderings_Oord(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Oring__1(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Fields_Ofield(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Power_Opower(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Ozero(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Rings_Oring(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Int_Onumber(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Groups_Oone(tc_RealDef_Oreal).
% 13.94/13.86 0 [] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Odivision__ring(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Ocomm__semiring(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Oab__group__add(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Omonoid__mult(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Omonoid__add(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Osemiring__0(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Ogroup__add(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Omult__zero(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Int_Oring__char__0(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Osemiring(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Oring__1(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Fields_Ofield(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Power_Opower(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Ozero(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Rings_Oring(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Int_Onumber(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] class_Groups_Oone(tc_Complex_Ocomplex).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.94/13.86 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_v),v_na____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.94/13.86 end_of_list.
% 13.94/13.86
% 13.94/13.86 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 13.94/13.86
% 13.94/13.86 This ia a non-Horn set with equality. The strategy will be
% 13.94/13.86 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 13.94/13.86 deletion, with positive clauses in sos and nonpositive
% 13.94/13.86 clauses in usable.
% 13.94/13.86
% 13.94/13.86 dependent: set(knuth_bendix).
% 13.94/13.86 dependent: set(anl_eq).
% 13.94/13.86 dependent: set(para_from).
% 13.94/13.86 dependent: set(para_into).
% 13.94/13.86 dependent: clear(para_from_right).
% 13.94/13.86 dependent: clear(para_into_right).
% 13.94/13.86 dependent: set(para_from_vars).
% 13.94/13.86 dependent: set(eq_units_both_ways).
% 13.94/13.86 dependent: set(dynamic_demod_all).
% 13.94/13.86 dependent: set(dynamic_demod).
% 13.94/13.86 dependent: set(order_eq).
% 13.94/13.86 dependent: set(back_demod).
% 13.94/13.86 dependent: set(lrpo).
% 13.94/13.86 dependent: set(hyper_res).
% 13.94/13.86 dependent: set(unit_deletion).
% 13.94/13.86 dependent: set(factor).
% 13.94/13.86
% 13.94/13.86 ------------> process usable:
% 13.94/13.86 ** KEPT (pick-wt=14): 1 [] hAPP(A,$f1(B,A))!=hAPP(B,$f1(B,A))|A=B.
% 13.94/13.86 ** KEPT (pick-wt=3): 2 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____).
% 13.94/13.86 ** KEPT (pick-wt=4): 4 [copy,3,flip.1] c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=v_na____.
% 13.94/13.86 ** KEPT (pick-wt=4): 6 [copy,5,flip.1] c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)!=v_b.
% 13.94/13.86 ** KEPT (pick-wt=48): 7 [] c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,A)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,A,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,A,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,A,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,A,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.94/13.87 ** KEPT (pick-wt=4): 9 [copy,8,flip.1] c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=v_n.
% 13.94/13.87 ** KEPT (pick-wt=21): 10 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,c_Groups_Oone__class_Oone(A),c_Groups_Oone__class_Oone(A)))).
% 13.94/13.87 ** KEPT (pick-wt=21): 11 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,c_Groups_Oone__class_Oone(A),c_Groups_Oone__class_Oone(A))),C).
% 13.94/13.87 ** KEPT (pick-wt=9): 12 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 ** KEPT (pick-wt=9): 13 [] -class_RealVector_Oreal__normed__algebra__1(A)|c_RealVector_Onorm__class_Onorm(A,c_Groups_Oone__class_Oone(A))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.94/13.87 ** KEPT (pick-wt=26): 14 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,B),C)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,D),E)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,c_Groups_Oplus__class_Oplus(A,B,D)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,C,E)).
% 13.94/13.87 ** KEPT (pick-wt=23): 16 [copy,15,flip.2] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Rings_Oinverse__class_Odivide(A,c_Groups_Oone__class_Oone(A),B)),C)=c_Rings_Oinverse__class_Odivide(A,c_Groups_Oone__class_Oone(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 13.94/13.87 ** KEPT (pick-wt=23): 17 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)|C=D.
% 13.94/13.87 ** KEPT (pick-wt=23): 18 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)|C!=D.
% 13.94/13.87 ** KEPT (pick-wt=25): 19 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 13.94/13.87 ** KEPT (pick-wt=25): 20 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 13.94/13.87 Following clause subsumed by 19 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 13.94/13.87 Following clause subsumed by 20 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)).
% 13.94/13.87 ** KEPT (pick-wt=10): 21 [] -class_Rings_Olinordered__semidom(A)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oone__class_Oone(A))).
% 13.94/13.87 ** KEPT (pick-wt=9): 22 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 Following clause subsumed by 22 during input processing: 0 [] -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Oof__real(A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=9): 23 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(A,c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.87 ** KEPT (pick-wt=19): 24 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.87 ** KEPT (pick-wt=15): 25 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 13.94/13.87 ** KEPT (pick-wt=14): 26 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.87 ** KEPT (pick-wt=12): 27 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.87 ** KEPT (pick-wt=12): 28 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.87 ** KEPT (pick-wt=12): 29 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(A,B)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=12): 30 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(A,B)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=21): 31 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=21): 32 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.87 ** KEPT (pick-wt=25): 33 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.87 ** KEPT (pick-wt=23): 34 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.87 ** KEPT (pick-wt=7): 35 [] -class_Rings_Ozero__ne_q__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 Following clause subsumed by 35 during input processing: 0 [flip.2] -class_Rings_Ozero__ne_q__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 ** KEPT (pick-wt=11): 36 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Oone__class_Oone(tc_Nat_Onat))=B.
% 13.94/13.87 ** KEPT (pick-wt=15): 37 [] -class_Rings_Oring__1__no__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=10): 38 [] -class_Rings_Odivision__ring__inverse__zero(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=10): 39 [] -class_RealVector_Oreal__normed__field(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Ozero__class_Ozero(A),B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=10): 40 [] -class_Rings_Odivision__ring(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Ozero__class_Ozero(A),B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=18): 41 [] -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 ** KEPT (pick-wt=18): 42 [] -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=13): 43 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(A,B))|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=13): 44 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(A,B))|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=18): 45 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Oplus__class_Oplus(A,B,D)).
% 13.94/13.87 ** KEPT (pick-wt=8): 46 [] -class_Rings_Olinordered__semidom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oone__class_Oone(A)).
% 13.94/13.87 ** KEPT (pick-wt=8): 47 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=17): 48 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 13.94/13.87 ** KEPT (pick-wt=21): 49 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,D),c_Rings_Oinverse__class_Odivide(A,B,D)).
% 13.94/13.87 ** KEPT (pick-wt=21): 50 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,D),c_Rings_Oinverse__class_Odivide(A,C,D)).
% 13.94/13.87 ** KEPT (pick-wt=20): 51 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,C)).
% 13.94/13.87 ** KEPT (pick-wt=20): 52 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 53 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 54 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,C)).
% 13.94/13.87 ** KEPT (pick-wt=20): 55 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 56 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 13.94/13.87 ** KEPT (pick-wt=20): 57 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 58 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 13.94/13.87 ** KEPT (pick-wt=20): 59 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 60 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 13.94/13.87 ** KEPT (pick-wt=20): 61 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 62 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 63 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 64 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 65 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 13.94/13.87 ** KEPT (pick-wt=20): 66 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Rings_Oinverse__class_Odivide(A,B,C))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=16): 67 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,C,B)!=c_Groups_Oone__class_Oone(A)|C=B.
% 13.94/13.87 ** KEPT (pick-wt=16): 68 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,C,B)=c_Groups_Oone__class_Oone(A)|C!=B.
% 13.94/13.87 ** KEPT (pick-wt=13): 69 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,B,B)=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 ** KEPT (pick-wt=13): 70 [] -class_Rings_Odivision__ring__inverse__zero(A)|B!=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,B,B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=13): 71 [] -class_Rings_Odivision__ring__inverse__zero(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,B,B)=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 ** KEPT (pick-wt=30): 72 [] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Rings_Oinverse__class_Odivide(A,C,B)),D)=c_Rings_Oinverse__class_Odivide(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)).
% 13.94/13.87 ** KEPT (pick-wt=12): 73 [] -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 ** KEPT (pick-wt=21): 74 [] -class_RealVector_Oreal__normed__field(A)|B=c_Groups_Ozero__class_Ozero(A)|c_RealVector_Onorm__class_Onorm(A,c_Rings_Oinverse__class_Odivide(A,C,B))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,C),c_RealVector_Onorm__class_Onorm(A,B)).
% 13.94/13.87 ** KEPT (pick-wt=12): 75 [] -class_Rings_Olinordered__semidom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,c_Groups_Oone__class_Oone(A),c_Groups_Oone__class_Oone(A))).
% 13.94/13.87 ** KEPT (pick-wt=30): 76 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Oone__class_Oone(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)).
% 13.94/13.87 ** KEPT (pick-wt=22): 77 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 13.94/13.87 ** KEPT (pick-wt=13): 78 [] -class_Rings_Olinordered__idom(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 13.94/13.87 ** KEPT (pick-wt=12): 79 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,B)!=c_RealVector_Oof__real(A,C)|B=C.
% 13.94/13.87 ** KEPT (pick-wt=12): 80 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,B)=c_RealVector_Oof__real(A,C)|B!=C.
% 13.94/13.87 ** KEPT (pick-wt=12): 81 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Oone__class_Oone(A)),B)=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 ** KEPT (pick-wt=20): 82 [] -class_RealVector_Oreal__normed__field(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,c_Rings_Oinverse__class_Odivide(A,B,D),c_Rings_Oinverse__class_Odivide(A,C,D)).
% 13.94/13.87 ** KEPT (pick-wt=20): 83 [] -class_Rings_Odivision__ring(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,c_Rings_Oinverse__class_Odivide(A,B,D),c_Rings_Oinverse__class_Odivide(A,C,D)).
% 13.94/13.87 ** KEPT (pick-wt=9): 84 [] -class_Rings_Odivision__ring(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Groups_Oone__class_Oone(A))=B.
% 13.94/13.87 ** KEPT (pick-wt=20): 85 [] -class_RealVector_Oreal__normed__field(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Ominus__class_Ominus(A,B,C),D)=c_Groups_Ominus__class_Ominus(A,c_Rings_Oinverse__class_Odivide(A,B,D),c_Rings_Oinverse__class_Odivide(A,C,D)).
% 13.94/13.87 ** KEPT (pick-wt=20): 86 [] -class_Rings_Odivision__ring(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Ominus__class_Ominus(A,B,C),D)=c_Groups_Ominus__class_Ominus(A,c_Rings_Oinverse__class_Odivide(A,B,D),c_Rings_Oinverse__class_Odivide(A,C,D)).
% 13.94/13.87 ** KEPT (pick-wt=26): 87 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Rings_Oinverse__class_Odivide(A,B,C)),D)=c_Rings_Oinverse__class_Odivide(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=15): 88 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(A,c_Groups_Ominus__class_Ominus(A,B,C))=c_RealVector_Onorm__class_Onorm(A,c_Groups_Ominus__class_Ominus(A,C,B)).
% 13.94/13.87 ** KEPT (pick-wt=19): 89 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_RealVector_Onorm__class_Onorm(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(A,B)),C).
% 13.94/13.87 ** KEPT (pick-wt=19): 90 [] -class_Fields_Ofield__inverse__zero(A)| -class_RealVector_Oreal__normed__field(A)|c_RealVector_Onorm__class_Onorm(A,c_Rings_Oinverse__class_Odivide(A,B,C))=c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,B),c_RealVector_Onorm__class_Onorm(A,C)).
% 13.94/13.87 ** KEPT (pick-wt=19): 91 [] -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Oof__real(A,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,B,C))=c_Groups_Oplus__class_Oplus(A,c_RealVector_Oof__real(A,B),c_RealVector_Oof__real(A,C)).
% 13.94/13.87 ** KEPT (pick-wt=17): 92 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,B,C))=c_Groups_Oplus__class_Oplus(A,c_RealVector_Oof__real(A,B),c_RealVector_Oof__real(A,C)).
% 13.94/13.87 ** KEPT (pick-wt=19): 93 [] -class_RealVector_Oreal__algebra__1(A)| -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Oof__real(A,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,B,C))=c_Groups_Ominus__class_Ominus(A,c_RealVector_Oof__real(A,B),c_RealVector_Oof__real(A,C)).
% 13.94/13.87 ** KEPT (pick-wt=17): 94 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,B,C))=c_Groups_Ominus__class_Ominus(A,c_RealVector_Oof__real(A,B),c_RealVector_Oof__real(A,C)).
% 13.94/13.87 ** KEPT (pick-wt=19): 95 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B),C))=hAPP(hAPP(c_Power_Opower__class_Opower(A),c_RealVector_Oof__real(A,B)),C).
% 13.94/13.87 ** KEPT (pick-wt=19): 96 [] -class_Fields_Ofield__inverse__zero(A)| -class_RealVector_Oreal__field(A)|c_RealVector_Oof__real(A,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,B,C))=c_Rings_Oinverse__class_Odivide(A,c_RealVector_Oof__real(A,B),c_RealVector_Oof__real(A,C)).
% 13.94/13.87 ** KEPT (pick-wt=30): 97 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,v_na____)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),$f2(A)),A)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.94/13.87 ** KEPT (pick-wt=24): 98 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))|C=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.87 ** KEPT (pick-wt=23): 99 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))|C=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 13.94/13.87 ** KEPT (pick-wt=25): 100 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))|C=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.87 ** KEPT (pick-wt=16): 101 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.87 ** KEPT (pick-wt=19): 102 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=20): 103 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.87 ** KEPT (pick-wt=5): 104 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.87 ** KEPT (pick-wt=15): 105 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),c_Groups_Ozero__class_Ozero(A))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 13.94/13.87 ** KEPT (pick-wt=17): 106 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 107 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=11): 108 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A).
% 13.94/13.87 ** KEPT (pick-wt=13): 109 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 13.94/13.87 ** KEPT (pick-wt=16): 110 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 13.94/13.87 ** KEPT (pick-wt=12): 111 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(A).
% 13.94/13.87 ** KEPT (pick-wt=14): 112 [] -class_Groups_Oordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ominus__class_Ominus(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=14): 113 [] -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ominus__class_Ominus(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 Following clause subsumed by 2 during input processing: 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),$c1),v_na____)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 13.94/13.87 ** KEPT (pick-wt=20): 114 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=20): 115 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 13.94/13.87 ** KEPT (pick-wt=15): 116 [] -class_Groups_Olinordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,B),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=15): 117 [] -class_Groups_Olinordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,B),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=35): 118 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 13.94/13.87 ** KEPT (pick-wt=35): 119 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),E)).
% 13.94/13.87 ** KEPT (pick-wt=35): 120 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))).
% 13.94/13.87 ** KEPT (pick-wt=25): 121 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),C).
% 13.94/13.87 ** KEPT (pick-wt=25): 122 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=25): 123 [] -class_Groups_Oab__semigroup__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 Following clause subsumed by 122 during input processing: 0 [flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=25): 124 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 13.94/13.87 ** KEPT (pick-wt=15): 125 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B).
% 13.94/13.87 ** KEPT (pick-wt=21): 126 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_RealVector_Onorm__class_Onorm(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(A,B)),c_RealVector_Onorm__class_Onorm(A,C)).
% 13.94/13.87 ** KEPT (pick-wt=21): 127 [] -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_RealVector_Oof__real(A,B)),c_RealVector_Oof__real(A,C)).
% 13.94/13.87 ** KEPT (pick-wt=12): 128 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=12): 129 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=26): 130 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 13.94/13.87 ** KEPT (pick-wt=37): 131 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=C|D=E|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))!=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=34): 132 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=34): 133 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)).
% 13.94/13.87 ** KEPT (pick-wt=26): 134 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 Following clause subsumed by 134 during input processing: 0 [flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,D)),C)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 13.94/13.87 Following clause subsumed by 131 during input processing: 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))!=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B=D|C=E.
% 13.94/13.87 Following clause subsumed by 132 during input processing: 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B!=D.
% 13.94/13.87 Following clause subsumed by 133 during input processing: 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|C!=E.
% 13.94/13.87 ** KEPT (pick-wt=17): 135 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=B.
% 13.94/13.87 ** KEPT (pick-wt=11): 136 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oone__class_Oone(A)),B)=B.
% 13.94/13.87 ** KEPT (pick-wt=11): 137 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oone__class_Oone(A)),B)=B.
% 13.94/13.87 ** KEPT (pick-wt=11): 138 [] -class_Groups_Ocomm__monoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oone__class_Oone(A)),B)=B.
% 13.94/13.87 ** KEPT (pick-wt=11): 139 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oone__class_Oone(A))=B.
% 13.94/13.87 ** KEPT (pick-wt=11): 140 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oone__class_Oone(A))=B.
% 13.94/13.87 ** KEPT (pick-wt=11): 141 [] -class_Groups_Ocomm__monoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oone__class_Oone(A))=B.
% 13.94/13.87 ** KEPT (pick-wt=18): 142 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,B),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A)).
% 13.94/13.87 ** KEPT (pick-wt=11): 143 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C),B).
% 13.94/13.87 ** KEPT (pick-wt=14): 144 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C),B).
% 13.94/13.87 ** KEPT (pick-wt=14): 145 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C),B).
% 13.94/13.87 ** KEPT (pick-wt=30): 146 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=28): 147 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)).
% 13.94/13.87 ** KEPT (pick-wt=30): 148 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,B),C)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,D),E)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),E)).
% 13.94/13.87 ** KEPT (pick-wt=19): 149 [] -class_Rings_Ono__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 Following clause subsumed by 149 during input processing: 0 [] -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=19): 150 [] -class_Rings_Oring__no__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=15): 151 [] -class_Rings_Oring__no__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=15): 152 [] -class_Rings_Oring__no__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=12): 153 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 Following clause subsumed by 153 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=12): 154 [] -class_Rings_Omult__zero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=12): 155 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 Following clause subsumed by 155 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=12): 156 [] -class_Rings_Omult__zero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=26): 157 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 13.94/13.87 Following clause subsumed by 157 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 13.94/13.87 ** KEPT (pick-wt=26): 158 [] -class_Rings_Ocomm__semiring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=26): 159 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 Following clause subsumed by 159 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=32): 161 [copy,160,flip.2] -class_Rings_Osemiring(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D),E)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D),E)).
% 13.94/13.87 ** KEPT (pick-wt=26): 162 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 13.94/13.87 Following clause subsumed by 162 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 13.94/13.87 ** KEPT (pick-wt=26): 163 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),D)=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 Following clause subsumed by 163 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),D)=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=25): 164 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 13.94/13.87 ** KEPT (pick-wt=30): 165 [] -class_Groups_Ocomm__monoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=28): 167 [copy,166,flip.2] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)).
% 13.94/13.87 ** KEPT (pick-wt=21): 168 [] -class_Rings_Odivision__ring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Rings_Oinverse__class_Odivide(A,C,D))=c_Rings_Oinverse__class_Odivide(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D).
% 13.94/13.87 ** KEPT (pick-wt=29): 169 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Rings_Oinverse__class_Odivide(A,B,C)),c_Rings_Oinverse__class_Odivide(A,D,E))=c_Rings_Oinverse__class_Odivide(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 13.94/13.87 ** KEPT (pick-wt=31): 170 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=D|E=F|c_Groups_Oplus__class_Oplus(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E))!=c_Groups_Oplus__class_Oplus(A,D,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),F)).
% 13.94/13.87 ** KEPT (pick-wt=18): 172 [copy,171,flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,c_Groups_Oone__class_Oone(A),c_Groups_Oone__class_Oone(A))),B)=c_Groups_Oplus__class_Oplus(A,B,B).
% 13.94/13.87 ** KEPT (pick-wt=22): 174 [copy,173,flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oone__class_Oone(A))),C)=c_Groups_Oplus__class_Oplus(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 13.94/13.87 ** KEPT (pick-wt=22): 176 [copy,175,flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oone__class_Oone(A))),C)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),C).
% 13.94/13.87 ** KEPT (pick-wt=17): 177 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),B).
% 13.94/13.87 ** KEPT (pick-wt=12): 178 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 13.94/13.87 ** KEPT (pick-wt=12): 179 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 13.94/13.87 ** KEPT (pick-wt=16): 180 [] -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.94/13.87 ** KEPT (pick-wt=17): 181 [] -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)|hBOOL(hAPP(A,D)).
% 13.94/13.87 ** KEPT (pick-wt=18): 182 [] hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -hBOOL(hAPP(A,$f3(C,B,A))).
% 13.94/13.87 ** KEPT (pick-wt=21): 184 [copy,183,flip.3] hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,$f3(C,B,A))=B.
% 13.94/13.87 ** KEPT (pick-wt=19): 185 [] hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(A,$f3(C,B,A))).
% 13.94/13.87 Following clause subsumed by 180 during input processing: 0 [] -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 13.94/13.87 Following clause subsumed by 181 during input processing: 0 [] -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)|hBOOL(hAPP(A,D)).
% 13.94/13.87 ** KEPT (pick-wt=18): 186 [] hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -hBOOL(hAPP(A,$f4(C,B,A))).
% 13.94/13.87 ** KEPT (pick-wt=21): 188 [copy,187,flip.3] hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,$f4(C,B,A))=B.
% 13.94/13.87 ** KEPT (pick-wt=19): 189 [] hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(A,$f4(C,B,A))).
% 13.94/13.87 ** KEPT (pick-wt=16): 190 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.87 ** KEPT (pick-wt=16): 191 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A).
% 13.94/13.87 ** KEPT (pick-wt=10): 192 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.87 ** KEPT (pick-wt=12): 193 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.87 ** KEPT (pick-wt=25): 194 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 13.94/13.87 ** KEPT (pick-wt=25): 195 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 13.94/13.87 ** KEPT (pick-wt=25): 196 [] -class_Rings_Olinordered__comm__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 13.94/13.87 ** KEPT (pick-wt=25): 197 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 13.94/13.87 ** KEPT (pick-wt=25): 198 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 13.94/13.87 ** KEPT (pick-wt=22): 199 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 13.94/13.87 ** KEPT (pick-wt=22): 200 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=25): 201 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,D,C).
% 13.94/13.87 Following clause subsumed by 194 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 13.94/13.87 ** KEPT (pick-wt=22): 202 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.87 ** KEPT (pick-wt=22): 203 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 13.94/13.87 Following clause subsumed by 200 during input processing: 0 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=22): 204 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=22): 205 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 13.94/13.87 ** KEPT (pick-wt=25): 206 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D).
% 13.94/13.87 ** KEPT (pick-wt=25): 207 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,C,D).
% 13.94/13.87 ** KEPT (pick-wt=26): 208 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=25): 209 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,D,C).
% 13.94/13.87 ** KEPT (pick-wt=25): 210 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=24): 211 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,D,C).
% 13.94/13.87 Following clause subsumed by 207 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D).
% 13.94/13.87 Following clause subsumed by 194 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,C).
% 13.94/13.87 ** KEPT (pick-wt=26): 212 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=25): 213 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,D,B).
% 13.94/13.87 ** KEPT (pick-wt=25): 214 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,B,D)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=24): 215 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,B,D)|c_Orderings_Oord__class_Oless(A,D,B).
% 13.94/13.87 ** KEPT (pick-wt=25): 216 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,B,D).
% 13.94/13.87 Following clause subsumed by 195 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,B).
% 13.94/13.87 ** KEPT (pick-wt=12): 217 [] -class_Rings_Olinordered__ring(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=22): 218 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 13.94/13.87 ** KEPT (pick-wt=51): 220 [copy,219,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),c_Groups_Ominus__class_Ominus(A,D,E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),c_Groups_Ominus__class_Ominus(A,D,E)))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 13.94/13.87 ** KEPT (pick-wt=35): 221 [] -class_Rings_Oring(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D)!=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F)|D=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,E,B)),C),F).
% 13.94/13.87 ** KEPT (pick-wt=35): 222 [] -class_Rings_Oring(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F)|D!=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,E,B)),C),F).
% 13.94/13.87 ** KEPT (pick-wt=35): 223 [] -class_Rings_Oring(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D)!=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,E)),C),D)=F.
% 13.94/13.87 ** KEPT (pick-wt=35): 224 [] -class_Rings_Oring(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,E)),C),D)!=F.
% 13.94/13.87 ** KEPT (pick-wt=20): 225 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)!=D|C=c_Rings_Oinverse__class_Odivide(A,D,B).
% 13.94/13.87 ** KEPT (pick-wt=20): 226 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)|c_Rings_Oinverse__class_Odivide(A,C,B)=D.
% 13.94/13.87 ** KEPT (pick-wt=32): 227 [] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,D,B)!=c_Rings_Oinverse__class_Odivide(A,E,C)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B).
% 13.94/13.87 ** KEPT (pick-wt=32): 228 [] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,D,B)=c_Rings_Oinverse__class_Odivide(A,E,C)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B).
% 13.94/13.87 ** KEPT (pick-wt=25): 229 [] -class_Fields_Ofield__inverse__zero(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=c_Rings_Oinverse__class_Odivide(A,C,D).
% 13.94/13.87 ** KEPT (pick-wt=25): 230 [] -class_Fields_Ofield__inverse__zero(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))=c_Rings_Oinverse__class_Odivide(A,C,D).
% 13.94/13.87 ** KEPT (pick-wt=20): 231 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,C,B)!=D|C=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B).
% 13.94/13.87 Following clause subsumed by 226 during input processing: 0 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,C,B)=D|C!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B).
% 13.94/13.87 ** KEPT (pick-wt=20): 232 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=c_Rings_Oinverse__class_Odivide(A,D,B)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)=D.
% 13.94/13.87 Following clause subsumed by 225 during input processing: 0 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Rings_Oinverse__class_Odivide(A,D,B)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)!=D.
% 13.94/13.87 ** KEPT (pick-wt=20): 233 [] -class_Fields_Ofield__inverse__zero(A)|c_Rings_Oinverse__class_Odivide(A,B,C)!=D|C=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C).
% 13.94/13.87 ** KEPT (pick-wt=16): 234 [] -class_Fields_Ofield__inverse__zero(A)|c_Rings_Oinverse__class_Odivide(A,B,C)!=D|C!=c_Groups_Ozero__class_Ozero(A)|D=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=16): 235 [] -class_Fields_Ofield__inverse__zero(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=D|C!=c_Groups_Ozero__class_Ozero(A)|D!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=20): 236 [] -class_Fields_Ofield__inverse__zero(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=20): 237 [] -class_Fields_Ofield__inverse__zero(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)|D!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=20): 238 [] -class_Fields_Ofield__inverse__zero(A)|B!=c_Rings_Oinverse__class_Odivide(A,C,D)|D=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)=C.
% 13.94/13.87 ** KEPT (pick-wt=16): 239 [] -class_Fields_Ofield__inverse__zero(A)|B!=c_Rings_Oinverse__class_Odivide(A,C,D)|D!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=16): 240 [] -class_Fields_Ofield__inverse__zero(A)|B=c_Rings_Oinverse__class_Odivide(A,C,D)|D!=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=20): 241 [] -class_Fields_Ofield__inverse__zero(A)|B=c_Rings_Oinverse__class_Odivide(A,C,D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)!=C|D=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=20): 242 [] -class_Fields_Ofield__inverse__zero(A)|B=c_Rings_Oinverse__class_Odivide(A,C,D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)!=C|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.87 ** KEPT (pick-wt=15): 243 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.94/13.87 ** KEPT (pick-wt=15): 244 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 13.94/13.87 ** KEPT (pick-wt=9): 245 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 13.94/13.87 ** KEPT (pick-wt=21): 246 [] -class_RealVector_Oreal__field(A)|B=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|c_RealVector_Oof__real(A,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,C,B))=c_Rings_Oinverse__class_Odivide(A,c_RealVector_Oof__real(A,C),c_RealVector_Oof__real(A,B)).
% 13.94/13.87 ** KEPT (pick-wt=37): 247 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F))|c_Orderings_Oord__class_Oless(A,D,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,E,B)),C),F)).
% 13.94/13.87 ** KEPT (pick-wt=37): 248 [] -class_Rings_Oordered__ring(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,E,B)),C),F)).
% 13.94/13.87 ** KEPT (pick-wt=37): 249 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F))|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,E)),C),D),F).
% 13.94/13.87 ** KEPT (pick-wt=37): 250 [] -class_Rings_Oordered__ring(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F))| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,E)),C),D),F).
% 13.94/13.87 ** KEPT (pick-wt=23): 251 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),C).
% 13.94/13.87 ** KEPT (pick-wt=28): 252 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 13.94/13.87 ** KEPT (pick-wt=24): 253 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=24): 254 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=28): 255 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=28): 256 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=23): 257 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 13.94/13.87 ** KEPT (pick-wt=28): 258 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),C)|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=32): 259 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=32): 260 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,B,c_Rings_Oinverse__class_Odivide(A,C,D))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),C)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.87 ** KEPT (pick-wt=23): 261 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 13.94/13.87 ** KEPT (pick-wt=28): 262 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),B).
% 13.94/13.87 ** KEPT (pick-wt=24): 263 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 13.94/13.88 ** KEPT (pick-wt=24): 264 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 13.94/13.88 ** KEPT (pick-wt=28): 265 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.88 ** KEPT (pick-wt=28): 266 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 13.94/13.88 ** KEPT (pick-wt=23): 267 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 13.94/13.88 ** KEPT (pick-wt=28): 268 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 13.94/13.88 ** KEPT (pick-wt=32): 269 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.88 ** KEPT (pick-wt=32): 270 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,C),D)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 13.94/13.88 ** KEPT (pick-wt=23): 271 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),D).
% 13.94/13.88 ** KEPT (pick-wt=23): 272 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),D).
% 13.94/13.88 ** KEPT (pick-wt=23): 273 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D)|c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 13.94/13.88 ** KEPT (pick-wt=23): 274 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 13.94/13.88 Following clause subsumed by 274 during input processing: 0 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 13.94/13.88 Following clause subsumed by 272 during input processing: 0 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),D)|c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B)).
% 13.94/13.88 ** KEPT (pick-wt=23): 275 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B))|c_Orderings_Oord__class_Oless(A,D,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)).
% 13.94/13.88 ** KEPT (pick-wt=23): 276 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,c_Rings_Oinverse__class_Odivide(A,D,B))| -c_Orderings_Oord__class_Oless(A,D,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)).
% 13.94/13.88 ** KEPT (pick-wt=23): 277 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),C).
% 13.94/13.88 ** KEPT (pick-wt=23): 278 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,C,B),D)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),C).
% 13.94/13.88 ** KEPT (pick-wt=31): 279 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,D,C),c_Rings_Oinverse__class_Odivide(A,D,B)).
% 13.94/13.88 ** KEPT (pick-wt=31): 280 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,D,B),c_Rings_Oinverse__class_Odivide(A,D,C)).
% 13.94/13.88 ** KEPT (pick-wt=26): 282 [copy,281,flip.3] -class_Fields_Ofield__inverse__zero(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)),B)=c_Groups_Oplus__class_Oplus(A,D,c_Rings_Oinverse__class_Odivide(A,C,B)).
% 13.94/13.88 ** KEPT (pick-wt=26): 284 [copy,283,flip.3] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D),B)=c_Groups_Oplus__class_Oplus(A,C,c_Rings_Oinverse__class_Odivide(A,D,B)).
% 13.94/13.88 ** KEPT (pick-wt=26): 286 [copy,285,flip.3] -class_Fields_Ofield__inverse__zero(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)),B)=c_Groups_Oplus__class_Oplus(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 13.94/13.88 ** KEPT (pick-wt=26): 288 [copy,287,flip.3] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),B)=c_Groups_Oplus__class_Oplus(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 13.94/13.88 ** KEPT (pick-wt=43): 290 [copy,289,flip.4] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))=c_Groups_Oplus__class_Oplus(A,c_Rings_Oinverse__class_Odivide(A,D,B),c_Rings_Oinverse__class_Odivide(A,E,C)).
% 13.94/13.88 ** KEPT (pick-wt=22): 291 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))).
% 13.94/13.88 ** KEPT (pick-wt=26): 292 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))).
% 13.94/13.88 ** KEPT (pick-wt=26): 294 [copy,293,flip.3] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D),B)=c_Groups_Ominus__class_Ominus(A,C,c_Rings_Oinverse__class_Odivide(A,D,B)).
% 13.94/13.88 ** KEPT (pick-wt=26): 296 [copy,295,flip.3] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Ominus__class_Ominus(A,C,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),B)=c_Groups_Ominus__class_Ominus(A,c_Rings_Oinverse__class_Odivide(A,C,B),D).
% 13.94/13.88 ** KEPT (pick-wt=43): 298 [copy,297,flip.4] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))=c_Groups_Ominus__class_Ominus(A,c_Rings_Oinverse__class_Odivide(A,D,B),c_Rings_Oinverse__class_Odivide(A,E,C)).
% 13.94/13.88 ** KEPT (pick-wt=10): 299 [] -class_Groups_Ozero(A)|c_Groups_Ozero__class_Ozero(A)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=10): 300 [] -class_Groups_Ozero(A)|c_Groups_Ozero__class_Ozero(A)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=11): 301 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,B,C)=c_Groups_Oplus__class_Oplus(A,C,B).
% 13.94/13.88 ** KEPT (pick-wt=17): 302 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,C,c_Groups_Oplus__class_Oplus(A,B,D)).
% 13.94/13.88 ** KEPT (pick-wt=17): 304 [copy,303,flip.2] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 13.94/13.88 Following clause subsumed by 304 during input processing: 0 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 13.94/13.88 ** KEPT (pick-wt=17): 305 [] -class_Groups_Oab__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 13.94/13.88 ** KEPT (pick-wt=17): 306 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,D),C).
% 13.94/13.88 ** KEPT (pick-wt=14): 307 [] -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 13.94/13.88 ** KEPT (pick-wt=14): 308 [] -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)=c_Groups_Oplus__class_Oplus(A,B,D)|C!=D.
% 13.94/13.88 ** KEPT (pick-wt=14): 309 [] -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 13.94/13.88 ** KEPT (pick-wt=14): 310 [] -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)=c_Groups_Oplus__class_Oplus(A,D,C)|B!=D.
% 13.94/13.88 ** KEPT (pick-wt=23): 311 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,E))=c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,D),c_Groups_Oplus__class_Oplus(A,C,E)).
% 13.94/13.88 Following clause subsumed by 307 during input processing: 0 [] -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 13.94/13.88 ** KEPT (pick-wt=14): 312 [] -class_Groups_Ocancel__ab__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 13.94/13.88 Following clause subsumed by 309 during input processing: 0 [] -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 13.94/13.88 ** KEPT (pick-wt=10): 313 [] -class_Groups_Oone(A)|c_Groups_Oone__class_Oone(A)!=B|B=c_Groups_Oone__class_Oone(A).
% 13.94/13.88 ** KEPT (pick-wt=10): 314 [] -class_Groups_Oone(A)|c_Groups_Oone__class_Oone(A)=B|B!=c_Groups_Oone__class_Oone(A).
% 13.94/13.88 ** KEPT (pick-wt=17): 315 [] -class_Groups_Oab__group__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ominus__class_Ominus(A,D,E)|B!=C|D=E.
% 13.94/13.88 ** KEPT (pick-wt=17): 316 [] -class_Groups_Oab__group__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ominus__class_Ominus(A,D,E)|B=C|D!=E.
% 13.94/13.88 ** KEPT (pick-wt=10): 317 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=A|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=11): 318 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=11): 319 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=15): 320 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=11): 321 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Oone__class_Oone(tc_Nat_Onat))=B.
% 13.94/13.88 ** KEPT (pick-wt=11): 322 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C).
% 13.94/13.88 ** KEPT (pick-wt=17): 323 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,D)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 13.94/13.88 ** KEPT (pick-wt=18): 324 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,D)).
% 13.94/13.88 ** KEPT (pick-wt=14): 325 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 13.94/13.88 ** KEPT (pick-wt=11): 326 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 13.94/13.88 ** KEPT (pick-wt=11): 327 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 13.94/13.88 ** KEPT (pick-wt=7): 328 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 13.94/13.88 ** KEPT (pick-wt=7): 329 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 13.94/13.88 ** KEPT (pick-wt=4): 330 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 13.94/13.88 ** KEPT (pick-wt=14): 331 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.88 ** KEPT (pick-wt=14): 332 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.88 Following clause subsumed by 328 during input processing: 0 [] A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.88 Following clause subsumed by 329 during input processing: 0 [] A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 13.94/13.88 ** KEPT (pick-wt=7): 333 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),B).
% 13.94/13.88 ** KEPT (pick-wt=7): 334 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),A).
% 13.94/13.88 Following clause subsumed by 330 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 13.94/13.88 ** KEPT (pick-wt=4): 335 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 13.94/13.88 ** KEPT (pick-wt=12): 336 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 ** KEPT (pick-wt=12): 337 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 ** KEPT (pick-wt=12): 338 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 Following clause subsumed by 338 during input processing: 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 Following clause subsumed by 337 during input processing: 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 Following clause subsumed by 336 during input processing: 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 Following clause subsumed by 337 during input processing: 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 Following clause subsumed by 338 during input processing: 0 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A).
% 13.94/13.88 Following clause subsumed by 336 during input processing: 0 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 ** KEPT (pick-wt=31): 339 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Oone__class_Oone(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 13.94/13.88 ** KEPT (pick-wt=9): 340 [] -class_Groups_Omonoid__add(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Ozero__class_Ozero(A),B)=B.
% 13.94/13.88 ** KEPT (pick-wt=9): 341 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Ozero__class_Ozero(A),B)=B.
% 13.94/13.88 ** KEPT (pick-wt=9): 342 [] -class_Groups_Ocomm__monoid__add(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Ozero__class_Ozero(A),B)=B.
% 13.94/13.88 ** KEPT (pick-wt=13): 343 [] -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oplus__class_Oplus(A,B,B)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=13): 344 [] -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ozero__class_Ozero(A)=c_Groups_Oplus__class_Oplus(A,B,B)|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=9): 345 [] -class_Groups_Omonoid__add(A)|c_Groups_Oplus__class_Oplus(A,B,c_Groups_Ozero__class_Ozero(A))=B.
% 13.94/13.88 ** KEPT (pick-wt=9): 346 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,B,c_Groups_Ozero__class_Ozero(A))=B.
% 13.94/13.88 ** KEPT (pick-wt=9): 347 [] -class_Groups_Ocomm__monoid__add(A)|c_Groups_Oplus__class_Oplus(A,B,c_Groups_Ozero__class_Ozero(A))=B.
% 13.94/13.88 ** KEPT (pick-wt=12): 349 [copy,348,flip.2] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=B|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=12): 351 [copy,350,flip.2] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,B,C)=B|C!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=16): 352 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 13.94/13.88 ** KEPT (pick-wt=16): 353 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))| -c_Orderings_Oord__class_Oless(A,B,D).
% 13.94/13.88 ** KEPT (pick-wt=16): 354 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 13.94/13.88 ** KEPT (pick-wt=16): 355 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))| -c_Orderings_Oord__class_Oless(A,C,D).
% 13.94/13.88 ** KEPT (pick-wt=16): 356 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,D),c_Groups_Oplus__class_Oplus(A,C,D)).
% 13.94/13.88 ** KEPT (pick-wt=16): 357 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,D,B),c_Groups_Oplus__class_Oplus(A,D,C)).
% 13.94/13.88 ** KEPT (pick-wt=20): 358 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,D),c_Groups_Oplus__class_Oplus(A,C,E)).
% 13.94/13.88 Following clause subsumed by 352 during input processing: 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 13.94/13.88 Following clause subsumed by 354 during input processing: 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 13.94/13.88 ** KEPT (pick-wt=9): 359 [] -class_Groups_Ogroup__add(A)|c_Groups_Ominus__class_Ominus(A,B,c_Groups_Ozero__class_Ozero(A))=B.
% 13.94/13.88 ** KEPT (pick-wt=9): 360 [] -class_Groups_Ogroup__add(A)|c_Groups_Ominus__class_Ominus(A,B,B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=12): 361 [] -class_Groups_Oab__group__add(A)|B!=C|c_Groups_Ominus__class_Ominus(A,B,C)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=12): 362 [] -class_Groups_Oab__group__add(A)|B=C|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=12): 363 [] -class_Groups_Ogroup__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ozero__class_Ozero(A)|B=C.
% 13.94/13.88 ** KEPT (pick-wt=12): 364 [] -class_Groups_Ogroup__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)=c_Groups_Ozero__class_Ozero(A)|B!=C.
% 13.94/13.88 ** KEPT (pick-wt=19): 365 [] -class_Groups_Oordered__ab__group__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ominus__class_Ominus(A,D,E)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,D,E).
% 13.94/13.88 ** KEPT (pick-wt=19): 366 [] -class_Groups_Oordered__ab__group__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ominus__class_Ominus(A,D,E)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E).
% 13.94/13.88 ** KEPT (pick-wt=11): 367 [] -class_Groups_Ogroup__add(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Ominus__class_Ominus(A,B,C),C)=B.
% 13.94/13.88 ** KEPT (pick-wt=11): 368 [] -class_Groups_Ogroup__add(A)|c_Groups_Ominus__class_Ominus(A,c_Groups_Oplus__class_Oplus(A,B,C),C)=B.
% 13.94/13.88 ** KEPT (pick-wt=8): 369 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 Following clause subsumed by 104 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.88 Following clause subsumed by 24 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 13.94/13.88 Following clause subsumed by 26 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 Following clause subsumed by 25 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 13.94/13.88 ** KEPT (pick-wt=18): 370 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 13.94/13.88 Following clause subsumed by 327 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 13.94/13.88 Following clause subsumed by 326 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 13.94/13.88 Following clause subsumed by 369 during input processing: 0 [] A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 13.94/13.88 Following clause subsumed by 104 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.88 ** KEPT (pick-wt=15): 371 [] -class_Groups_Olinordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,B))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.88 ** KEPT (pick-wt=15): 372 [] -class_Groups_Olinordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,B))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.88 ** KEPT (pick-wt=29): 373 [] -class_Groups_Omonoid__mult(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),C)=hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B).
% 13.94/13.88 ** KEPT (pick-wt=15): 374 [] -class_Power_Opower(A)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B)=c_Groups_Oone__class_Oone(A).
% 13.94/13.88 ** KEPT (pick-wt=28): 376 [copy,375,flip.3] -class_Power_Opower(A)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B).
% 13.94/13.88 ** KEPT (pick-wt=46): 377 [] -class_RealVector_Oreal__field(A)|c_Rings_Oinverse__class_Odivide(A,c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E)),F)=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Rings_Oinverse__class_Odivide(A,c_Groups_Ominus__class_Ominus(A,C,E),F)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Rings_Oinverse__class_Odivide(A,c_Groups_Ominus__class_Ominus(A,B,D),F)),E)).
% 13.94/13.88 ** KEPT (pick-wt=27): 379 [copy,378,flip.2] -class_Rings_Oring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oone__class_Oone(A))),c_Groups_Ominus__class_Ominus(A,B,c_Groups_Oone__class_Oone(A)))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),c_Groups_Oone__class_Oone(A)).
% 13.94/13.88 ** KEPT (pick-wt=20): 380 [] -class_Rings_Olinordered__ring(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C)),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.88 ** KEPT (pick-wt=28): 381 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C)))|B!=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=24): 382 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C)))|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=24): 383 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C)))|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=37): 385 [copy,384,flip.2] -class_Rings_Oring(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ominus__class_Ominus(A,C,D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,E)),D))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),D)).
% 13.94/13.88 ** KEPT (pick-wt=23): 386 [] -class_Rings_Olinordered__ring__strict(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=23): 387 [] -class_Rings_Olinordered__ring__strict(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C))!=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=27): 388 [] -class_Rings_Olinordered__ring__strict(A)|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C))=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=15): 389 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,B),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.88 ** KEPT (pick-wt=15): 390 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,B),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.88 ** KEPT (pick-wt=4): 392 [copy,391,flip.1] c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii.
% 13.94/13.88 ** KEPT (pick-wt=12): 393 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)|B=C.
% 13.94/13.88 ** KEPT (pick-wt=12): 394 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)|B!=C.
% 13.94/13.88 ** KEPT (pick-wt=12): 395 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)|A=C.
% 13.94/13.88 ** KEPT (pick-wt=12): 396 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)|A!=C.
% 13.94/13.88 ** KEPT (pick-wt=20): 397 [] A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)|B=C.
% 13.94/13.88 ** KEPT (pick-wt=20): 398 [] A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)|B!=C.
% 13.94/13.88 ** KEPT (pick-wt=20): 399 [] A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A)|B=C.
% 13.94/13.88 ** KEPT (pick-wt=20): 400 [] A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A)|B!=C.
% 13.94/13.88 ** KEPT (pick-wt=17): 401 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=13): 402 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=13): 403 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=20): 404 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B=C|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=16): 405 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 13.94/13.88 ** KEPT (pick-wt=17): 406 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=20): 407 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)|A=C|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=16): 408 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)|A!=C.
% 13.94/13.88 ** KEPT (pick-wt=17): 409 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=25): 411 [copy,410,flip.2] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),D)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),D)).
% 13.94/13.88 ** KEPT (pick-wt=25): 412 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),D)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),D)).
% 13.94/13.88 ** KEPT (pick-wt=13): 413 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=13): 414 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=17): 415 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.88 Following clause subsumed by 413 during input processing: 0 [flip.1] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.88 Following clause subsumed by 414 during input processing: 0 [flip.1] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.88 Following clause subsumed by 415 during input processing: 0 [flip.1] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=14): 416 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 ** KEPT (pick-wt=11): 417 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A).
% 13.94/13.88 ** KEPT (pick-wt=11): 418 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 13.94/13.88 ** KEPT (pick-wt=23): 419 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)).
% 13.94/13.88 ** KEPT (pick-wt=20): 420 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)).
% 13.94/13.88 ** KEPT (pick-wt=23): 421 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C).
% 13.94/13.88 ** KEPT (pick-wt=23): 422 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C).
% 13.94/13.88 Following clause subsumed by 402 during input processing: 0 [] A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=21): 423 [] c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),B))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.88 ** KEPT (pick-wt=21): 424 [] c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),B))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.88 ** KEPT (pick-wt=25): 425 [] c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),B))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|A!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.88 ** KEPT (pick-wt=15): 426 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 13.94/13.88 ** KEPT (pick-wt=15): 427 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 13.94/13.88 ** KEPT (pick-wt=20): 428 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 13.94/13.88 ** KEPT (pick-wt=19): 429 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 13.94/13.88 ** KEPT (pick-wt=18): 430 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.88 ** KEPT (pick-wt=23): 431 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.88 ** KEPT (pick-wt=19): 432 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 13.94/13.88 ** KEPT (pick-wt=18): 433 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C).
% 13.94/13.88 ** KEPT (pick-wt=23): 434 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C).
% 13.94/13.88 Following clause subsumed by 434 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 13.94/13.88 Following clause subsumed by 431 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)).
% 13.94/13.88 ** KEPT (pick-wt=16): 436 [copy,435,flip.1] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=A|B=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=13): 437 [] A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),B),A)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 13.94/13.88 ** KEPT (pick-wt=13): 438 [] -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Oplus__class_Oplus(A,B,B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=13): 439 [] -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Oplus__class_Oplus(A,B,B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 ** KEPT (pick-wt=23): 441 [copy,440,flip.2] -class_Groups_Oab__group__add(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Ominus__class_Ominus(A,B,C),c_Groups_Ominus__class_Ominus(A,D,E))=c_Groups_Ominus__class_Ominus(A,c_Groups_Oplus__class_Oplus(A,B,D),c_Groups_Oplus__class_Oplus(A,C,E)).
% 13.94/13.88 ** KEPT (pick-wt=5): 442 [] c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 13.94/13.88 ** KEPT (pick-wt=4): 444 [copy,443,flip.1] c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii.
% 13.94/13.88 ** KEPT (pick-wt=14): 445 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),A))|A!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 13.94/13.88 ** KEPT (pick-wt=11): 446 [] -class_Power_Opower(A)|c_Power_Opower__class_Opower(A)=c_Power_Opower_Opower(A,c_Groups_Oone__class_Oone(A),c_Groups_Otimes__class_Otimes(A)).
% 13.94/13.88 Following clause subsumed by 327 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 13.94/13.88 Following clause subsumed by 326 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 13.94/13.88 ** KEPT (pick-wt=21): 447 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B=C.
% 13.94/13.88 Following clause subsumed by 405 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 13.94/13.88 ** KEPT (pick-wt=18): 448 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|A=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.88 ** KEPT (pick-wt=18): 449 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|B=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.88 ** KEPT (pick-wt=22): 450 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=c_Groups_Oone__class_Oone(tc_Int_Oint)|A!=c_Groups_Oone__class_Oone(tc_Int_Oint)|B!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.88 ** KEPT (pick-wt=23): 451 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),C)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),C),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),C),B)).
% 13.94/13.88 Following clause subsumed by 404 during input processing: 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 13.94/13.88 Following clause subsumed by 406 during input processing: 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 Following clause subsumed by 405 during input processing: 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 13.94/13.88 Following clause subsumed by 430 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.88 Following clause subsumed by 431 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.88 ** KEPT (pick-wt=17): 452 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f5(B,A)).
% 13.94/13.88 ** KEPT (pick-wt=20): 453 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),$f5(B,A)),A)=B.
% 13.94/13.88 ** KEPT (pick-wt=28): 454 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),C)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),C),A)!=B|C=$f5(B,A).
% 13.94/13.88 ** KEPT (pick-wt=17): 455 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f6(B,A)).
% 13.94/13.88 ** KEPT (pick-wt=20): 456 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),$f6(B,A)),A)=B.
% 13.94/13.88 ** KEPT (pick-wt=14): 457 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C)).
% 13.94/13.88 ** KEPT (pick-wt=17): 458 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.88 ** KEPT (pick-wt=17): 459 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.88 ** KEPT (pick-wt=15): 460 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|A=B.
% 13.94/13.88 ** KEPT (pick-wt=12): 461 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oone__class_Oone(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 13.94/13.88 ** KEPT (pick-wt=11): 462 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oone__class_Oone(tc_Int_Oint)))|A!=B.
% 13.94/13.88 ** KEPT (pick-wt=12): 463 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.88 ** KEPT (pick-wt=12): 464 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,A,B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 13.94/13.88 ** KEPT (pick-wt=11): 465 [] c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 13.94/13.88 ** KEPT (pick-wt=5): 466 [] c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 13.94/13.88 Following clause subsumed by 98 during input processing: 0 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.88 Following clause subsumed by 99 during input processing: 0 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 13.94/13.88 Following clause subsumed by 100 during input processing: 0 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.88 Following clause subsumed by 101 during input processing: 0 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.88 Following clause subsumed by 102 during input processing: 0 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.88 Following clause subsumed by 103 during input processing: 0 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 13.94/13.88 ** KEPT (pick-wt=32): 467 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 13.94/13.88 ** KEPT (pick-wt=35): 468 [] -class_Rings_Ocomm__ring__1(A)|c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),c_Groups_Oplus__class_Oplus(A,B,C)).
% 13.94/13.88 ** KEPT (pick-wt=48): 469 [] -class_Rings_Olinordered__semiring__1__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),E))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),F))|c_Groups_Oplus__class_Oplus(A,E,F)!=c_Groups_Oone__class_Oone(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),D)),C).
% 13.94/13.88 ** KEPT (pick-wt=10): 470 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B)).
% 13.94/13.88 ** KEPT (pick-wt=21): 471 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),A)).
% 13.94/13.88 ** KEPT (pick-wt=21): 472 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),B)).
% 13.94/13.88 ** KEPT (pick-wt=29): 473 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),B)).
% 13.94/13.88 ** KEPT (pick-wt=34): 474 [] -class_Rings_Olinordered__semidom(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))!=hAPP(hAPP(c_Power_Opower__class_Opower(A),D),c_Nat_OSuc(C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|B=D.
% 13.94/13.88 ** KEPT (pick-wt=33): 475 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),c_Nat_OSuc(C))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),D)).
% 13.94/13.88 ** KEPT (pick-wt=31): 476 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C))).
% 13.94/13.88 ** KEPT (pick-wt=23): 477 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 13.94/13.88 ** KEPT (pick-wt=23): 478 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,A),c_Nat_OSuc(B)).
% 13.94/13.88 ** KEPT (pick-wt=21): 479 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))).
% 13.94/13.88 ** KEPT (pick-wt=11): 480 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),B)).
% 13.94/13.88 ** KEPT (pick-wt=11): 481 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),B)).
% 13.94/13.88 ** KEPT (pick-wt=11): 482 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.88 ** KEPT (pick-wt=11): 483 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.88 Following clause subsumed by 481 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.88 Following clause subsumed by 480 during input processing: 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.88 Following clause subsumed by 483 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 13.94/13.88 Following clause subsumed by 480 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),B)).
% 13.94/13.88 ** KEPT (pick-wt=14): 484 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,c_Nat_OSuc(A))|B=A.
% 13.94/13.88 ** KEPT (pick-wt=14): 485 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,c_Nat_OSuc(A))|B!=A.
% 13.94/13.88 Following clause subsumed by 481 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.88 ** KEPT (pick-wt=22): 486 [] -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Int_Onumber__class_Onumber__of(A,C)))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 13.94/13.88 ** KEPT (pick-wt=22): 487 [] -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Int_Onumber__class_Onumber__of(A,C)))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 13.94/13.89 ** KEPT (pick-wt=17): 489 [copy,488,flip.2] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(B),A).
% 13.94/13.89 ** KEPT (pick-wt=12): 490 [] -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)!=C|C=c_Int_Onumber__class_Onumber__of(A,B).
% 13.94/13.89 ** KEPT (pick-wt=12): 491 [] -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=C|C!=c_Int_Onumber__class_Onumber__of(A,B).
% 13.94/13.89 ** KEPT (pick-wt=14): 492 [] -class_Int_Onumber__ring(A)| -class_Int_Oring__char__0(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Int_Onumber__class_Onumber__of(A,C)|B=C.
% 13.94/13.89 ** KEPT (pick-wt=14): 493 [] -class_Int_Onumber__ring(A)| -class_Int_Oring__char__0(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Int_Onumber__class_Onumber__of(A,C)|B!=C.
% 13.94/13.89 ** KEPT (pick-wt=20): 494 [] -class_Int_Onumber__ring(A)| -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Int_Onumber__class_Onumber__of(A,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B),C)).
% 13.94/13.89 ** KEPT (pick-wt=20): 495 [] -class_Int_Onumber__ring(A)| -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Int_Onumber__class_Onumber__of(A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B),C)).
% 13.94/13.89 ** KEPT (pick-wt=13): 496 [] -class_Int_Onumber__ring(A)| -class_RealVector_Oreal__algebra__1(A)|c_RealVector_Oof__real(A,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,B))=c_Int_Onumber__class_Onumber__of(A,B).
% 13.94/13.89 ** KEPT (pick-wt=4): 498 [copy,497,flip.1] c_Nat_OSuc(A)!=A.
% 13.94/13.89 Following clause subsumed by 498 during input processing: 0 [] c_Nat_OSuc(A)!=A.
% 13.94/13.89 ** KEPT (pick-wt=7): 499 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),A)).
% 13.94/13.89 ** KEPT (pick-wt=13): 500 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(B)),A)).
% 13.94/13.89 ** KEPT (pick-wt=17): 501 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Nat_OSuc(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|A=c_Nat_OSuc(B).
% 13.94/13.89 ** KEPT (pick-wt=13): 502 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Nat_OSuc(B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 ** KEPT (pick-wt=11): 503 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Nat_OSuc(B)))|A!=c_Nat_OSuc(B).
% 13.94/13.89 ** KEPT (pick-wt=8): 504 [] c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 13.94/13.89 ** KEPT (pick-wt=8): 505 [] c_Nat_OSuc(A)=c_Nat_OSuc(B)|A!=B.
% 13.94/13.89 ** KEPT (pick-wt=14): 506 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),c_Nat_OSuc(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 ** KEPT (pick-wt=14): 507 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),c_Nat_OSuc(B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 Following clause subsumed by 502 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Nat_OSuc(B))).
% 13.94/13.89 Following clause subsumed by 501 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Nat_OSuc(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|A=c_Nat_OSuc(B).
% 13.94/13.89 ** KEPT (pick-wt=13): 508 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Nat_OSuc(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 Following clause subsumed by 504 during input processing: 0 [] c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 13.94/13.89 ** KEPT (pick-wt=24): 509 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.89 ** KEPT (pick-wt=24): 510 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.89 ** KEPT (pick-wt=20): 511 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,D,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),D)).
% 13.94/13.89 ** KEPT (pick-wt=20): 512 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,D,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),D)).
% 13.94/13.89 ** KEPT (pick-wt=20): 513 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,B,D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D)).
% 13.94/13.89 ** KEPT (pick-wt=20): 514 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,B,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D)).
% 13.94/13.89 ** KEPT (pick-wt=20): 515 [] -class_Groups_Oordered__ab__semigroup__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,D)),c_Groups_Oplus__class_Oplus(A,C,D))).
% 13.94/13.89 ** KEPT (pick-wt=20): 516 [] -class_Groups_Oordered__ab__semigroup__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,D,B)),c_Groups_Oplus__class_Oplus(A,D,C))).
% 13.94/13.89 ** KEPT (pick-wt=26): 517 [] -class_Groups_Oordered__ab__semigroup__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,D)),c_Groups_Oplus__class_Oplus(A,C,E))).
% 13.94/13.89 Following clause subsumed by 511 during input processing: 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,D,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),D)).
% 13.94/13.89 Following clause subsumed by 513 during input processing: 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,B,D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D)).
% 13.94/13.89 ** KEPT (pick-wt=5): 518 [] c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 Following clause subsumed by 518 during input processing: 0 [flip.1] c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 Following clause subsumed by 518 during input processing: 0 [] c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 Following clause subsumed by 518 during input processing: 0 [] c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 Following clause subsumed by 518 during input processing: 0 [flip.1] c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 Following clause subsumed by 518 during input processing: 0 [flip.1] c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 ** KEPT (pick-wt=23): 519 [] -class_Groups_Oordered__ab__group__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ominus__class_Ominus(A,D,E)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E)).
% 13.94/13.89 ** KEPT (pick-wt=23): 520 [] -class_Groups_Oordered__ab__group__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ominus__class_Ominus(A,D,E)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E)).
% 13.94/13.89 ** KEPT (pick-wt=10): 521 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.89 ** KEPT (pick-wt=9): 522 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.89 ** KEPT (pick-wt=12): 523 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 13.94/13.89 ** KEPT (pick-wt=13): 524 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),C).
% 13.94/13.89 ** KEPT (pick-wt=13): 525 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Nat_OSuc(A)=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),B).
% 13.94/13.89 ** KEPT (pick-wt=9): 526 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 13.94/13.89 ** KEPT (pick-wt=12): 527 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|B=A.
% 13.94/13.89 Following clause subsumed by 523 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A=B.
% 13.94/13.89 ** KEPT (pick-wt=12): 528 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=B.
% 13.94/13.89 Following clause subsumed by 521 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.89 Following clause subsumed by 470 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.89 Following clause subsumed by 523 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 13.94/13.89 Following clause subsumed by 526 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.89 ** KEPT (pick-wt=8): 529 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=B.
% 13.94/13.89 ** KEPT (pick-wt=9): 530 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,c_Nat_OSuc(A)).
% 13.94/13.89 ** KEPT (pick-wt=11): 531 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 ** KEPT (pick-wt=11): 532 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 ** KEPT (pick-wt=18): 533 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C)|B=C.
% 13.94/13.89 Following clause subsumed by 405 during input processing: 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C)|B!=C.
% 13.94/13.89 ** KEPT (pick-wt=10): 534 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 Following clause subsumed by 534 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 ** KEPT (pick-wt=9): 535 [] A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 ** KEPT (pick-wt=13): 536 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.89 Following clause subsumed by 534 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 Following clause subsumed by 536 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 13.94/13.89 Following clause subsumed by 534 during input processing: 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 13.94/13.89 Following clause subsumed by 535 during input processing: 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|A!=B.
% 13.94/13.89 Following clause subsumed by 534 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.89 Following clause subsumed by 328 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 13.94/13.89 Following clause subsumed by 536 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|A=B.
% 13.94/13.89 ** KEPT (pick-wt=10): 537 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),B)).
% 13.94/13.89 ** KEPT (pick-wt=7): 538 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|A!=B.
% 13.94/13.89 ** KEPT (pick-wt=13): 539 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),B))|A=B.
% 13.94/13.89 Following clause subsumed by 539 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),B))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|A=B.
% 13.94/13.89 Following clause subsumed by 537 during input processing: 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),B))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 13.94/13.89 ** KEPT (pick-wt=9): 540 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),B))|A!=B.
% 13.94/13.89 ** KEPT (pick-wt=15): 541 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B))).
% 13.94/13.89 ** KEPT (pick-wt=15): 542 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))).
% 13.94/13.89 ** KEPT (pick-wt=15): 543 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C)).
% 13.94/13.89 ** KEPT (pick-wt=15): 544 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.89 Following clause subsumed by 543 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C)).
% 13.94/13.89 Following clause subsumed by 544 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.89 ** KEPT (pick-wt=24): 545 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,D))).
% 13.94/13.89 ** KEPT (pick-wt=18): 546 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))).
% 13.94/13.89 Following clause subsumed by 541 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B))).
% 13.94/13.89 Following clause subsumed by 542 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))).
% 13.94/13.89 ** KEPT (pick-wt=18): 547 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.89 ** KEPT (pick-wt=18): 548 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.89 ** KEPT (pick-wt=14): 550 [copy,549,flip.2] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,$f7(B,A))=B.
% 13.94/13.89 ** KEPT (pick-wt=12): 551 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C).
% 13.94/13.89 ** KEPT (pick-wt=10): 552 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),B)).
% 13.94/13.89 ** KEPT (pick-wt=7): 553 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|A!=B.
% 13.94/13.89 ** KEPT (pick-wt=13): 554 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),B))|A=B.
% 13.94/13.89 ** KEPT (pick-wt=28): 555 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),D))).
% 13.94/13.89 ** KEPT (pick-wt=22): 556 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B))).
% 13.94/13.89 ** KEPT (pick-wt=22): 557 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))).
% 13.94/13.89 ** KEPT (pick-wt=18): 558 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,C,A)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,C,B))).
% 13.94/13.89 ** KEPT (pick-wt=18): 559 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,B)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))).
% 13.94/13.89 ** KEPT (pick-wt=18): 560 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C))).
% 13.94/13.89 ** KEPT (pick-wt=15): 561 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=A.
% 13.94/13.89 ** KEPT (pick-wt=24): 562 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)!=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A)|B=C.
% 13.94/13.89 ** KEPT (pick-wt=24): 563 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A)|B!=C.
% 13.94/13.89 ** KEPT (pick-wt=27): 564 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C).
% 13.94/13.89 ** KEPT (pick-wt=30): 565 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.89 Following clause subsumed by 560 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.89 ** KEPT (pick-wt=18): 566 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,C,A)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,C,B))).
% 13.94/13.89 ** KEPT (pick-wt=7): 567 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Nat_OSuc(A))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A).
% 13.94/13.89 ** KEPT (pick-wt=28): 568 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Oone__class_Oone(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))),B)).
% 13.94/13.89 ** KEPT (pick-wt=38): 569 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),c_Groups_Oone__class_Oone(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B))).
% 13.94/13.89 ** KEPT (pick-wt=29): 570 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),D)).
% 13.94/13.89 ** KEPT (pick-wt=29): 571 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),D)).
% 13.94/13.89 Following clause subsumed by 570 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),D)).
% 13.94/13.89 ** KEPT (pick-wt=33): 572 [] -class_Groups_Omonoid__mult(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C))|hAPP(hAPP(c_Power_Opower__class_Opower(A),D),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(C),B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,B))),D).
% 13.94/13.89 ** KEPT (pick-wt=28): 573 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 13.94/13.89 ** KEPT (pick-wt=21): 574 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 13.94/13.89 ** KEPT (pick-wt=28): 575 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 13.94/13.89 ** KEPT (pick-wt=35): 576 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)))).
% 13.94/13.89 ** KEPT (pick-wt=42): 577 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))),B)).
% 13.94/13.89 ** KEPT (pick-wt=36): 578 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D)).
% 13.94/13.89 ** KEPT (pick-wt=36): 579 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D)).
% 13.94/13.89 ** KEPT (pick-wt=42): 580 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))),B))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.89 ** KEPT (pick-wt=42): 581 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D)).
% 13.94/13.89 ** KEPT (pick-wt=35): 582 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,C)).
% 13.94/13.89 ** KEPT (pick-wt=42): 583 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D)).
% 13.94/13.89 ** KEPT (pick-wt=48): 584 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))),B))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.89 ** KEPT (pick-wt=48): 585 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D)).
% 13.94/13.89 ** KEPT (pick-wt=33): 586 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C))).
% 13.94/13.89 ** KEPT (pick-wt=38): 587 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)),B)).
% 13.94/13.89 ** KEPT (pick-wt=34): 588 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(A,D))).
% 13.94/13.89 ** KEPT (pick-wt=34): 589 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(A,D))).
% 13.94/13.89 ** KEPT (pick-wt=38): 590 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)),B))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.89 ** KEPT (pick-wt=42): 591 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(A,D))).
% 13.94/13.89 ** KEPT (pick-wt=33): 592 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
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% 13.94/13.89 ** KEPT (pick-wt=38): 600 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Rings_Oinverse__class_Odivide(A,C,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.89 ** KEPT (pick-wt=42): 601 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Rings_Oinverse__class_Odivide(A,C,D)))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=33): 602 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Rings_Oinverse__class_Odivide(A,C,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D).
% 13.94/13.89 ** KEPT (pick-wt=42): 603 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Rings_Oinverse__class_Odivide(A,C,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)),C))|c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=46): 604 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Rings_Oinverse__class_Odivide(A,C,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)))| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.89 ** KEPT (pick-wt=50): 605 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Rings_Oinverse__class_Odivide(A,C,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Onumber__class_Onumber__of(A,B)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=35): 606 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))),C)).
% 13.94/13.89 ** KEPT (pick-wt=42): 607 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)))).
% 13.94/13.89 ** KEPT (pick-wt=36): 608 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=36): 609 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=42): 610 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.89 ** KEPT (pick-wt=42): 611 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(A,D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
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% 13.94/13.89 ** KEPT (pick-wt=42): 613 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))),C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=48): 614 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,D),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.89 ** KEPT (pick-wt=48): 615 [] -class_Fields_Olinordered__field__inverse__zero(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=22): 616 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))),c_Groups_Ozero__class_Ozero(A)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.89 ** KEPT (pick-wt=25): 617 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))),c_Groups_Ozero__class_Ozero(A)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.89 ** KEPT (pick-wt=28): 618 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 13.94/13.89 ** KEPT (pick-wt=27): 619 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.89 ** KEPT (pick-wt=34): 620 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))),c_Groups_Ozero__class_Ozero(A)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=31): 621 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))),c_Groups_Ozero__class_Ozero(A)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.89 ** KEPT (pick-wt=19): 623 [copy,622,flip.2] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A))|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A).
% 13.94/13.89 ** KEPT (pick-wt=34): 624 [] -class_Int_Onumber(A)| -class_Rings_Osemiring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)).
% 13.94/13.89 ** KEPT (pick-wt=34): 625 [] -class_Int_Onumber(A)| -class_Rings_Osemiring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(A,D))).
% 13.94/13.89 ** KEPT (pick-wt=34): 626 [] -class_Int_Onumber(A)| -class_Rings_Oring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),c_Int_Onumber__class_Onumber__of(A,D))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(A,D))).
% 13.94/13.89 ** KEPT (pick-wt=34): 627 [] -class_Int_Onumber(A)| -class_Rings_Oring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)).
% 13.94/13.89 ** KEPT (pick-wt=16): 628 [] -class_Int_Onumber__ring(A)| -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(tc_Int_Oint,B,C).
% 13.94/13.89 ** KEPT (pick-wt=16): 629 [] -class_Int_Onumber__ring(A)| -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B,C).
% 13.94/13.89 ** KEPT (pick-wt=23): 631 [copy,630,flip.2] -class_Int_Onumber__ring(A)|c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C)),D)=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,C),D)).
% 13.94/13.89 ** KEPT (pick-wt=17): 633 [copy,632,flip.2] -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 13.94/13.89 Following clause subsumed by 633 during input processing: 0 [] -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 13.94/13.89 ** KEPT (pick-wt=31): 635 [copy,634,flip.2] -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C))),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,C)),D)).
% 13.94/13.89 ** KEPT (pick-wt=21): 636 [] -class_Int_Onumber__ring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),c_Int_Onumber__class_Onumber__of(A,C))=c_Int_Onumber__class_Onumber__of(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 13.94/13.89 ** KEPT (pick-wt=21): 637 [] -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),c_Int_Onumber__class_Onumber__of(A,C)).
% 13.94/13.89 ** KEPT (pick-wt=28): 638 [] -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 639 [] -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 640 [] -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))).
% 13.94/13.89 ** KEPT (pick-wt=28): 641 [] -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))).
% 13.94/13.89 ** KEPT (pick-wt=44): 642 [] -class_Rings_Oordered__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))).
% 13.94/13.89 ** KEPT (pick-wt=44): 643 [] -class_Rings_Oordered__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))).
% 13.94/13.89 ** KEPT (pick-wt=31): 644 [] -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))).
% 13.94/13.89 ** KEPT (pick-wt=31): 645 [] -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))).
% 13.94/13.89 ** KEPT (pick-wt=31): 646 [] -class_Rings_Oordered__comm__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))).
% 13.94/13.89 ** KEPT (pick-wt=31): 647 [] -class_Rings_Oordered__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))).
% 13.94/13.89 ** KEPT (pick-wt=31): 648 [] -class_Rings_Oordered__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D))).
% 13.94/13.89 Following clause subsumed by 641 during input processing: 0 [] -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))).
% 13.94/13.89 Following clause subsumed by 639 during input processing: 0 [] -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 Following clause subsumed by 639 during input processing: 0 [] -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 Following clause subsumed by 638 during input processing: 0 [] -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 649 [] -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))).
% 13.94/13.89 ** KEPT (pick-wt=28): 650 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 651 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.89 ** KEPT (pick-wt=28): 652 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 653 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.89 ** KEPT (pick-wt=28): 654 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 655 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.89 ** KEPT (pick-wt=28): 656 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 657 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 658 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 659 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=28): 660 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.89 ** KEPT (pick-wt=28): 661 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=14): 662 [] -class_Rings_Olinordered__ring(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B))).
% 13.94/13.89 ** KEPT (pick-wt=15): 663 [] -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),c_Nat_OSuc(B))=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.89 ** KEPT (pick-wt=26): 664 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.89 ** KEPT (pick-wt=24): 665 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Oplus__class_Oplus(A,D,B))).
% 13.94/13.89 ** KEPT (pick-wt=24): 666 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Oplus__class_Oplus(A,B,D))).
% 13.94/13.89 ** KEPT (pick-wt=27): 667 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.89 ** KEPT (pick-wt=27): 668 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 ** KEPT (pick-wt=31): 669 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|c_Groups_Oplus__class_Oplus(A,B,C)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 666 during input processing: 0 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Groups_Oplus__class_Oplus(A,B,C))).
% 13.94/13.90 ** KEPT (pick-wt=19): 670 [] -class_Groups_Olinordered__ab__group__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,B)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=19): 671 [] -class_Groups_Olinordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,B,B)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=19): 672 [] -class_Groups_Olinordered__ab__group__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Groups_Oplus__class_Oplus(A,B,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 13.94/13.90 ** KEPT (pick-wt=19): 673 [] -class_Groups_Olinordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Groups_Oplus__class_Oplus(A,B,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 13.94/13.90 ** KEPT (pick-wt=22): 674 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E))|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,D),c_Groups_Oplus__class_Oplus(A,C,E)).
% 13.94/13.90 ** KEPT (pick-wt=22): 675 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -c_Orderings_Oord__class_Oless(A,D,E)|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,D),c_Groups_Oplus__class_Oplus(A,C,E)).
% 13.94/13.90 ** KEPT (pick-wt=17): 676 [] -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Ominus__class_Ominus(tc_Int_Oint,B,C))=c_Groups_Ominus__class_Ominus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 13.94/13.90 ** KEPT (pick-wt=10): 677 [] -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Groups_Oone__class_Oone(A))).
% 13.94/13.90 ** KEPT (pick-wt=10): 678 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=18): 679 [] -class_Groups_Oordered__ab__group__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ominus__class_Ominus(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=18): 680 [] -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ominus__class_Ominus(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=21): 681 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 13.94/13.90 Following clause subsumed by 681 during input processing: 0 [flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 13.94/13.90 ** KEPT (pick-wt=21): 682 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C)).
% 13.94/13.90 ** KEPT (pick-wt=21): 683 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),B).
% 13.94/13.90 ** KEPT (pick-wt=21): 684 [] -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 13.94/13.90 ** KEPT (pick-wt=31): 685 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D))).
% 13.94/13.90 ** KEPT (pick-wt=21): 686 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))).
% 13.94/13.90 ** KEPT (pick-wt=27): 687 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,C,D)),c_Rings_Oinverse__class_Odivide(A,B,D))).
% 13.94/13.90 ** KEPT (pick-wt=27): 688 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,D)),c_Rings_Oinverse__class_Odivide(A,C,D))).
% 13.94/13.90 ** KEPT (pick-wt=26): 689 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=26): 690 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.90 ** KEPT (pick-wt=26): 691 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=26): 692 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.90 ** KEPT (pick-wt=26): 693 [] -class_Fields_Olinordered__field__inverse__zero(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=26): 694 [] -class_Fields_Olinordered__field__inverse__zero(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.90 ** KEPT (pick-wt=26): 695 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Rings_Oinverse__class_Odivide(A,B,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=26): 696 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Rings_Oinverse__class_Odivide(A,B,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=26): 697 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Rings_Oinverse__class_Odivide(A,B,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=26): 698 [] -class_Fields_Olinordered__field__inverse__zero(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Rings_Oinverse__class_Odivide(A,B,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=26): 699 [] -class_Fields_Olinordered__field__inverse__zero(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Rings_Oinverse__class_Odivide(A,B,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.90 ** KEPT (pick-wt=26): 700 [] -class_Fields_Olinordered__field__inverse__zero(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Rings_Oinverse__class_Odivide(A,B,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=16): 701 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=15): 703 [copy,702,flip.3] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_OSuc($f8(B,A))=A.
% 13.94/13.90 ** KEPT (pick-wt=15): 704 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f8(B,A),B).
% 13.94/13.90 ** KEPT (pick-wt=9): 705 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=13): 706 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=c_Nat_OSuc(C)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,B).
% 13.94/13.90 ** KEPT (pick-wt=10): 707 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 Following clause subsumed by 705 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=10): 709 [copy,708,flip.2] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Nat_OSuc($f9(A))=A.
% 13.94/13.90 ** KEPT (pick-wt=9): 710 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|A!=c_Nat_OSuc(B).
% 13.94/13.90 ** KEPT (pick-wt=17): 711 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=18): 712 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=16): 713 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=17): 714 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=17): 715 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=17): 716 [] c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=17): 717 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)|A=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=18): 718 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)|A=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=16): 719 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=17): 720 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=17): 721 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)|A!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=17): 722 [] c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=21): 723 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))).
% 13.94/13.90 ** KEPT (pick-wt=15): 724 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=15): 725 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=20): 726 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=13): 728 [copy,727,flip.2] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,$f10(B,A)))=B.
% 13.94/13.90 ** KEPT (pick-wt=11): 729 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 13.94/13.90 Following clause subsumed by 430 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.90 ** KEPT (pick-wt=20): 730 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(A)),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.90 ** KEPT (pick-wt=13): 731 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.90 ** KEPT (pick-wt=13): 732 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 13.94/13.90 Following clause subsumed by 732 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=20): 733 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),A))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)).
% 13.94/13.90 ** KEPT (pick-wt=26): 734 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.90 Following clause subsumed by 733 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 13.94/13.90 ** KEPT (pick-wt=11): 735 [] -class_RealVector_Oreal__normed__vector(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(A,B))).
% 13.94/13.90 ** KEPT (pick-wt=21): 737 [copy,736,flip.2] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A).
% 13.94/13.90 Following clause subsumed by 737 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A).
% 13.94/13.90 ** KEPT (pick-wt=21): 739 [copy,738,flip.2] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B),A).
% 13.94/13.90 ** KEPT (pick-wt=18): 740 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)!=C|B=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,A).
% 13.94/13.90 ** KEPT (pick-wt=18): 741 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)=C|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,A).
% 13.94/13.90 ** KEPT (pick-wt=15): 742 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),A)=B.
% 13.94/13.90 ** KEPT (pick-wt=24): 743 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,A)),B)).
% 13.94/13.90 ** KEPT (pick-wt=24): 744 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,A)),B)).
% 13.94/13.90 Following clause subsumed by 739 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B),A).
% 13.94/13.90 ** KEPT (pick-wt=15): 745 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=B.
% 13.94/13.90 ** KEPT (pick-wt=18): 746 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A))).
% 13.94/13.90 ** KEPT (pick-wt=18): 747 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B))).
% 13.94/13.90 ** KEPT (pick-wt=18): 748 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B))).
% 13.94/13.90 ** KEPT (pick-wt=21): 749 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,A),B).
% 13.94/13.90 ** KEPT (pick-wt=20): 750 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,C),D))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,D)).
% 13.94/13.90 ** KEPT (pick-wt=27): 751 [] -class_Rings_Olinordered__idom(A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B)),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B))).
% 13.94/13.90 ** KEPT (pick-wt=24): 752 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),B)).
% 13.94/13.90 ** KEPT (pick-wt=24): 753 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.90 ** KEPT (pick-wt=24): 754 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A)).
% 13.94/13.90 ** KEPT (pick-wt=24): 755 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.90 ** KEPT (pick-wt=24): 756 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A)).
% 13.94/13.90 ** KEPT (pick-wt=24): 757 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,A,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.90 ** KEPT (pick-wt=16): 758 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.90 ** KEPT (pick-wt=16): 759 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,A,B)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 13.94/13.90 ** KEPT (pick-wt=19): 760 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 ** KEPT (pick-wt=14): 761 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=15): 762 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 13.94/13.90 Following clause subsumed by 233 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))!=D|c_Int_Onumber__class_Onumber__of(A,C)=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C)).
% 13.94/13.90 Following clause subsumed by 234 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))!=D|c_Int_Onumber__class_Onumber__of(A,C)!=c_Groups_Ozero__class_Ozero(A)|D=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 235 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|c_Int_Onumber__class_Onumber__of(A,C)!=c_Groups_Ozero__class_Ozero(A)|D!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 236 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))|c_Int_Onumber__class_Onumber__of(A,C)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 237 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,c_Int_Onumber__class_Onumber__of(A,C))=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(A,C))|D!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 233 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)!=c_Int_Onumber__class_Onumber__of(A,D)|C=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C).
% 13.94/13.90 Following clause subsumed by 234 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)!=c_Int_Onumber__class_Onumber__of(A,D)|C!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 235 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|C!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 236 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 237 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Rings_Oinverse__class_Odivide(A,B,C)=c_Int_Onumber__class_Onumber__of(A,D)|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,D)),C)|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 238 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Rings_Oinverse__class_Odivide(A,C,D)|D=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)=C.
% 13.94/13.90 Following clause subsumed by 239 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Rings_Oinverse__class_Odivide(A,C,D)|D!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 240 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|D!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(A,B)!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 241 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)!=C|D=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 242 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(A,B)=c_Rings_Oinverse__class_Odivide(A,C,D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(A,B)),D)!=C|c_Int_Onumber__class_Onumber__of(A,B)!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 238 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))=C.
% 13.94/13.90 Following clause subsumed by 239 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B!=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 240 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|c_Int_Onumber__class_Onumber__of(A,D)!=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 241 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))!=C|c_Int_Onumber__class_Onumber__of(A,D)=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 242 during input processing: 0 [] -class_Fields_Ofield__inverse__zero(A)| -class_Int_Onumber(A)|B=c_Rings_Oinverse__class_Odivide(A,C,c_Int_Onumber__class_Onumber__of(A,D))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(A,D))!=C|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 ** KEPT (pick-wt=23): 763 [] -class_Int_Onumber__ring(A)|c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Groups_Ominus__class_Ominus(A,c_Int_Onumber__class_Onumber__of(A,C),D))=c_Groups_Ominus__class_Ominus(A,c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C)),D).
% 13.94/13.90 ** KEPT (pick-wt=29): 764 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D)).
% 13.94/13.90 ** KEPT (pick-wt=29): 765 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),D)).
% 13.94/13.90 ** KEPT (pick-wt=27): 766 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|c_Orderings_Oord__class_Oless(A,C,D).
% 13.94/13.90 ** KEPT (pick-wt=27): 767 [] -class_Rings_Olinordered__semiring(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|c_Orderings_Oord__class_Oless(A,C,D).
% 13.94/13.90 ** KEPT (pick-wt=27): 768 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|c_Orderings_Oord__class_Oless(A,B,D).
% 13.94/13.90 ** KEPT (pick-wt=27): 769 [] -class_Rings_Olinordered__semiring(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|c_Orderings_Oord__class_Oless(A,B,D).
% 13.94/13.90 ** KEPT (pick-wt=38): 770 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -c_Orderings_Oord__class_Oless(A,D,E)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 13.94/13.90 ** KEPT (pick-wt=38): 771 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 13.94/13.90 ** KEPT (pick-wt=38): 772 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 13.94/13.90 ** KEPT (pick-wt=36): 773 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 13.94/13.90 ** KEPT (pick-wt=29): 774 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),C)).
% 13.94/13.90 ** KEPT (pick-wt=29): 775 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),C)).
% 13.94/13.90 ** KEPT (pick-wt=29): 776 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D)).
% 13.94/13.90 ** KEPT (pick-wt=29): 777 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D)).
% 13.94/13.90 ** KEPT (pick-wt=22): 778 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 13.94/13.90 ** KEPT (pick-wt=22): 779 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 13.94/13.90 ** KEPT (pick-wt=20): 780 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Oplus__class_Oplus(A,B,D)).
% 13.94/13.90 ** KEPT (pick-wt=20): 781 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Oplus__class_Oplus(A,B,D)).
% 13.94/13.90 ** KEPT (pick-wt=22): 782 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Ozero__class_Ozero(A)))|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.90 ** KEPT (pick-wt=22): 783 [] -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 13.94/13.90 ** KEPT (pick-wt=26): 784 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C))),c_Groups_Ozero__class_Ozero(A)))|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 ** KEPT (pick-wt=26): 785 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C))),c_Groups_Ozero__class_Ozero(A)))|C=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 ** KEPT (pick-wt=30): 786 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C))),c_Groups_Ozero__class_Ozero(A)))|B!=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 ** KEPT (pick-wt=22): 787 [] -class_Rings_Olinordered__ring(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),C)))).
% 13.94/13.90 ** KEPT (pick-wt=34): 788 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Oone__class_Oone(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),B)).
% 13.94/13.90 ** KEPT (pick-wt=34): 789 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),c_Groups_Oone__class_Oone(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),B)).
% 13.94/13.90 ** KEPT (pick-wt=18): 790 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Nat_OSuc(C))).
% 13.94/13.90 Following clause subsumed by 31 during input processing: 0 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 Following clause subsumed by 32 during input processing: 0 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 Following clause subsumed by 33 during input processing: 0 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 13.94/13.90 ** KEPT (pick-wt=27): 791 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),D))|c_Orderings_Oord__class_Oless(A,B,D).
% 13.94/13.90 ** KEPT (pick-wt=41): 792 [] -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D)),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,E,B)),C),F))).
% 13.94/13.90 ** KEPT (pick-wt=41): 793 [] -class_Rings_Oordered__ring(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D)),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,E,B)),C),F))).
% 13.94/13.90 ** KEPT (pick-wt=41): 794 [] -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D)),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,E)),C),D)),F)).
% 13.94/13.90 ** KEPT (pick-wt=41): 795 [] -class_Rings_Oordered__ring(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),D)),c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C),F)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,E)),C),D)),F)).
% 13.94/13.90 ** KEPT (pick-wt=24): 796 [] -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Rings_Oinverse__class_Odivide(A,B,C))).
% 13.94/13.90 ** KEPT (pick-wt=24): 797 [] -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=32): 798 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,E)|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,E),c_Rings_Oinverse__class_Odivide(A,C,D)).
% 13.94/13.90 ** KEPT (pick-wt=34): 799 [] -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E))|c_Orderings_Oord__class_Oless(A,c_Rings_Oinverse__class_Odivide(A,B,E),c_Rings_Oinverse__class_Odivide(A,C,D)).
% 13.94/13.90 ** KEPT (pick-wt=38): 800 [] -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),E))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,E)),c_Rings_Oinverse__class_Odivide(A,C,D))).
% 13.94/13.90 ** KEPT (pick-wt=24): 801 [] -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Rings_Oinverse__class_Odivide(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 13.94/13.90 ** KEPT (pick-wt=24): 802 [] -class_Fields_Olinordered__field(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),c_Groups_Ozero__class_Ozero(A)))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Rings_Oinverse__class_Odivide(A,B,C))).
% 13.94/13.90 ** KEPT (pick-wt=23): 803 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),A)).
% 13.94/13.90 ** KEPT (pick-wt=21): 804 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 13.94/13.90 ** KEPT (pick-wt=21): 805 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),A)).
% 13.94/13.90 ** KEPT (pick-wt=13): 806 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Nat_OSuc(B)),A).
% 13.94/13.90 ** KEPT (pick-wt=14): 807 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=A.
% 13.94/13.90 ** KEPT (pick-wt=15): 808 [] -class_RealVector_Oreal__normed__vector(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,B)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|B=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 ** KEPT (pick-wt=15): 809 [] -class_RealVector_Oreal__normed__vector(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,B)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))|B!=c_Groups_Ozero__class_Ozero(A).
% 13.94/13.90 ** KEPT (pick-wt=24): 810 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 13.94/13.90 ** KEPT (pick-wt=17): 811 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 13.94/13.90 ** KEPT (pick-wt=24): 812 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 13.94/13.90 Following clause subsumed by 810 during input processing: 0 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 13.94/13.90 ** KEPT (pick-wt=21): 813 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 13.94/13.90 Following clause subsumed by 811 during input processing: 0 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 13.94/13.90 ** KEPT (pick-wt=19): 814 [] -class_Groups_Omonoid__mult(A)| -class_Rings_Olinordered__ring(A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B))).
% 13.94/13.90 Following clause subsumed by 810 during input processing: 0 [] -class_Rings_Olinordered__idom(A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.90 Following clause subsumed by 813 during input processing: 0 [] -class_Rings_Olinordered__idom(A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),C)).
% 13.94/13.90 ** KEPT (pick-wt=27): 815 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.90 Following clause subsumed by 556 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.90 ** KEPT (pick-wt=27): 816 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C)).
% 13.94/13.90 Following clause subsumed by 557 during input processing: 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C)).
% 13.94/13.90 Following clause subsumed by 815 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.90 Following clause subsumed by 556 during input processing: 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 13.94/13.90 ** KEPT (pick-wt=15): 817 [] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|A!=c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),B)).
% 13.94/13.90 ** KEPT (pick-wt=15): 819 [copy,818,flip.2] -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),$f12(A))=A.
% 13.94/13.90 ** KEPT (pick-wt=14): 820 [] c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|A!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),B).
% 13.94/13.90 ** KEPT (pick-wt=24): 821 [] -class_RealVector_Oreal__normed__algebra(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(A,B)),c_RealVector_Onorm__class_Onorm(A,C)))).
% 13.94/13.90 ** KEPT (pick-wt=27): 822 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B),C)).
% 13.94/13.90 ** KEPT (pick-wt=27): 823 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B),C)).
% 13.94/13.90 ** KEPT (pick-wt=27): 824 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B),C)).
% 13.94/13.90 ** KEPT (pick-wt=27): 825 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B),C)).
% 13.94/13.91 ** KEPT (pick-wt=12): 826 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A).
% 13.94/13.91 ** KEPT (pick-wt=12): 827 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A).
% 13.94/13.91 ** KEPT (pick-wt=20): 828 [] -class_RealVector_Oreal__normed__vector(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,c_Groups_Oplus__class_Oplus(A,B,C))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,B),c_RealVector_Onorm__class_Onorm(A,C)))).
% 13.94/13.91 ** KEPT (pick-wt=20): 829 [] -class_RealVector_Oreal__normed__vector(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,c_Groups_Ominus__class_Ominus(A,B,C))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,B),c_RealVector_Onorm__class_Onorm(A,C)))).
% 13.94/13.91 ** KEPT (pick-wt=45): 830 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),D)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),E)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),D)),E)).
% 13.94/13.91 ** KEPT (pick-wt=45): 831 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),D)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),E)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),D)),E)).
% 13.94/13.91 ** KEPT (pick-wt=42): 832 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),D),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),E))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),D),E).
% 13.94/13.91 ** KEPT (pick-wt=39): 833 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),D)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),E)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),D)=E.
% 13.94/13.91 ** KEPT (pick-wt=39): 834 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),D)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),E)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),D)!=E.
% 13.94/13.91 ** KEPT (pick-wt=45): 835 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),D)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),E)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,D),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),E))).
% 13.94/13.91 ** KEPT (pick-wt=45): 836 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),D)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),E)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,D),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),E))).
% 13.94/13.91 ** KEPT (pick-wt=42): 837 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),D),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),E))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,D,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),E)).
% 13.94/13.91 ** KEPT (pick-wt=39): 838 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),D)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),E)|D=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),E).
% 13.94/13.91 ** KEPT (pick-wt=39): 839 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C),D)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C),E)|D!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),C),E).
% 13.94/13.91 ** KEPT (pick-wt=14): 840 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oone__class_Oone(tc_Int_Oint)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),B)).
% 13.94/13.91 ** KEPT (pick-wt=14): 841 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oone__class_Oone(tc_Int_Oint)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),B)).
% 13.94/13.91 ** KEPT (pick-wt=14): 842 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint))),B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 13.94/13.91 ** KEPT (pick-wt=14): 843 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint))),B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A
% 14.00/13.91 Search stopped in tp_alloc by max_mem option.
% 14.00/13.91 ,B).
% 14.00/13.91 Following clause subsumed by 843 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint))),B)).
% 14.00/13.91 ** KEPT (pick-wt=22): 844 [] -class_RealVector_Oreal__normed__algebra__1(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(A,B)),C))).
% 14.00/13.91
% 14.00/13.91 Search stopped in tp_alloc by max_mem option.
% 14.00/13.91
% 14.00/13.91 ============ end of search ============
% 14.00/13.91
% 14.00/13.91 -------------- statistics -------------
% 14.00/13.91 clauses given 0
% 14.00/13.91 clauses generated 0
% 14.00/13.91 clauses kept 800
% 14.00/13.91 clauses forward subsumed 153
% 14.00/13.91 clauses back subsumed 0
% 14.00/13.91 Kbytes malloced 11718
% 14.00/13.91
% 14.00/13.91 ----------- times (seconds) -----------
% 14.00/13.91 user CPU time 0.20 (0 hr, 0 min, 0 sec)
% 14.00/13.91 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 14.00/13.91 wall-clock time 14 (0 hr, 0 min, 14 sec)
% 14.00/13.91
% 14.00/13.91 Process 10991 finished Wed Jul 27 03:05:49 2022
% 14.00/13.91 Otter interrupted
% 14.00/13.91 PROOF NOT FOUND
%------------------------------------------------------------------------------