TSTP Solution File: SCT160+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT160+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 13:12:36 EDT 2022
% Result : Unknown 6.92s 6.98s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT160+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Jul 27 09:18:09 EDT 2022
% 0.12/0.35 % CPUTime :
% 6.77/6.90 ----- Otter 3.3f, August 2004 -----
% 6.77/6.90 The process was started by sandbox2 on n026.cluster.edu,
% 6.77/6.90 Wed Jul 27 09:18:09 2022
% 6.77/6.90 The command was "./otter". The process ID is 24410.
% 6.77/6.90
% 6.77/6.90 set(prolog_style_variables).
% 6.77/6.90 set(auto).
% 6.77/6.90 dependent: set(auto1).
% 6.77/6.90 dependent: set(process_input).
% 6.77/6.90 dependent: clear(print_kept).
% 6.77/6.90 dependent: clear(print_new_demod).
% 6.77/6.90 dependent: clear(print_back_demod).
% 6.77/6.90 dependent: clear(print_back_sub).
% 6.77/6.90 dependent: set(control_memory).
% 6.77/6.90 dependent: assign(max_mem, 12000).
% 6.77/6.90 dependent: assign(pick_given_ratio, 4).
% 6.77/6.90 dependent: assign(stats_level, 1).
% 6.77/6.90 dependent: assign(max_seconds, 10800).
% 6.77/6.90 clear(print_given).
% 6.77/6.90
% 6.77/6.90 formula_list(usable).
% 6.77/6.90 all A (A=A).
% 6.77/6.90 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).
% 6.77/6.90 c_Arrow__Order__Mirabelle_Ounanimity(v_F).
% 6.77/6.90 c_Arrow__Order__Mirabelle_OIIA(v_F).
% 6.77/6.90 v_a____!=v_b____.
% 6.77/6.90 hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lba____)).
% 6.77/6.90 hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lab____)).
% 6.77/6.90 -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 6.77/6.90 -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lab____)).
% 6.77/6.90 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_Lba____))),c_Arrow__Order__Mirabelle_OLin)).
% 6.77/6.90 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)).
% 6.77/6.90 all V_n (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 6.77/6.90 all V_n_2 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),V_n_2))),v_Lab____)),v_Lba____))),c_Arrow__Order__Mirabelle_OLin)).
% 6.77/6.90 all V_c_2 T_a V_B_2 V_A_2 (V_A_2=V_B_2-> ((hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))-> -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)))-> -(-hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))))).
% 6.77/6.90 all V_S_2 V_R_2 T_b T_a (hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)=hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)<->V_R_2=V_S_2).
% 6.77/6.90 all V_z_2 V_L_2 V_y_2 V_x_2 (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2)))<->V_y_2!=V_z_2& (V_x_2=V_z_2->V_x_2!=V_y_2)& (V_x_2!=V_z_2->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)))).
% 6.77/6.90 all V_z_2 V_L_2 V_y_2 V_x_2 (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2)))<->V_x_2!=V_z_2& (V_y_2=V_z_2->V_x_2!=V_y_2)& (V_y_2!=V_z_2->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)))).
% 6.77/6.90 all V_n_2 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),V_n_2))),v_Lab____)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf)).
% 6.77/6.90 all V_n (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 6.77/6.90 all V_n_2 (V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))).
% 6.77/6.90 all V_n (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 6.77/6.90 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_Lab____),c_Arrow__Order__Mirabelle_OLin)).
% 6.77/6.90 hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))).
% 6.77/6.90 all V_L_2 (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))->hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,V_L_2)),c_Arrow__Order__Mirabelle_OProf))).
% 6.77/6.90 all V_x_2 V_L_2 (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))->hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_x_2)),c_Arrow__Order__Mirabelle_OLin))).
% 6.77/6.90 all V_x_2 V_L_2 (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))->hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_x_2)),c_Arrow__Order__Mirabelle_OLin))).
% 6.77/6.90 all V_ba_2 V_aa_2 V_L_2 (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),V_L_2))-> -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),V_L_2)))).
% 6.77/6.90 all V_y_2 V_x_2 V_L_2 (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))-> (V_x_2!=V_y_2-> (-hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_y_2),V_x_2)),V_L_2))))).
% 6.77/6.90 all V_A_2 T_a V_ba_2 V_aa_2 (V_aa_2=V_ba_2-> (hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)))).
% 6.77/6.90 all V_A_2 T_a V_y_2 V_x_2 (V_x_2=V_y_2-> (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))<->hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)))).
% 6.77/6.90 all V_x_2 T_a V_B_2 V_A_2 (V_A_2=V_B_2-> (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))<->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)))).
% 6.77/6.90 all V_y_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_fe_qual(V_y_2)))<->V_x_2=V_y_2).
% 6.77/6.90 all V_A_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))<->hBOOL(hAPP(V_A_2,V_x_2))).
% 6.77/6.90 all V_P_2 V_n_2 V_m_2 ((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))->hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)))-> ((V_m_2=V_n_2->hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)))-> ((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))->hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)))->hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2))))).
% 6.77/6.90 all V_t V_s (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))->V_s!=V_t).
% 6.77/6.90 all V_m V_n (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))->V_m!=V_n).
% 6.77/6.90 all V_n (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n))).
% 6.77/6.90 all V_y V_x (V_x!=V_y-> (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)))).
% 6.77/6.90 all V_n_2 V_m_2 (V_m_2!=V_n_2<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))).
% 6.77/6.90 all V_n (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n))).
% 6.77/6.90 all V_S_2 V_R_2 T_a (hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)=hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)<->V_R_2=V_S_2).
% 6.77/6.90 all V_n (V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))).
% 6.77/6.90 all V_n V_m (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))->V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.77/6.90 -(all B_Lba (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),B_Lba))-> -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_Lba),c_Arrow__Order__Mirabelle_OLin)))).
% 6.77/6.90 -(all B_Lab (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),B_Lab))-> -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_Lab),c_Arrow__Order__Mirabelle_OLin)))).
% 6.77/6.90 all V_P_H_2 V_P_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))-> ((all B_i (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,B_i)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(V_P_H_2,B_i)))))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(v_F,V_P_H_2)))))))).
% 6.77/6.90 all V_P_H_2 V_P_2 V_b_H_2 V_a_H_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (V_a_H_2!=V_b_H_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))-> ((all B_i (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,B_i)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,B_i)))))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))))))))).
% 6.77/6.90 all V_P_H_2 V_P_2 V_c_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (V_ba_2!=V_c_2-> (V_aa_2!=V_c_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))-> ((all B_i (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,B_i)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(V_P_H_2,B_i)))))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(v_F,V_P_H_2)))))))))).
% 6.77/6.90 all V_P_H_2 V_P_2 V_b_H_2 V_a_H_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (V_a_H_2!=V_b_H_2-> (V_aa_2!=V_b_H_2-> (V_ba_2!=V_a_H_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))-> ((all B_i (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,B_i)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,B_i)))))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))))))))))).
% 6.77/6.90 all V_P_H_2 V_P_2 V_b_H_2 V_a_H_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (V_a_H_2!=V_b_H_2-> (V_aa_2!=V_b_H_2-> (V_ba_2!=V_a_H_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))-> ((all B_i (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,B_i)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,B_i)))))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))))))))))).
% 6.77/6.90 all V_y_2 V_x_2 V_L_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))<->V_x_2!=V_y_2& (V_y_2=V_aa_2->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2)))& (V_y_2!=V_aa_2-> (V_x_2=V_aa_2->V_y_2=V_ba_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_y_2)),V_L_2)))& (V_x_2!=V_aa_2->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2))))))).
% 6.77/6.90 all V_y_2 V_x_2 V_L_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))<->V_x_2!=V_y_2& (V_x_2=V_ba_2->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2)))& (V_x_2!=V_ba_2-> (V_y_2=V_ba_2->V_x_2=V_aa_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_aa_2)),V_L_2)))& (V_y_2!=V_ba_2->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2))))))).
% 6.77/6.90 all V_L_2 V_y_2 V_x_2 (V_x_2!=V_y_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))->hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_x_2,V_y_2)),c_Arrow__Order__Mirabelle_OLin)))).
% 6.77/6.90 all V_L_2 V_y_2 V_x_2 (V_x_2!=V_y_2-> (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))->hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_x_2,V_y_2)),c_Arrow__Order__Mirabelle_OLin)))).
% 6.77/6.90 all V_x_2 V_B_2 V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))-> (-hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_B_2,V_x_2)))-> -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)))).
% 6.77/6.90 all V_x_2 V_B_2 V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))-> (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),V_B_2)))).
% 6.77/6.90 all V_x_2 V_B_2 V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))-> (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_B_2,V_x_2))))).
% 6.77/6.90 all V_A_2 T_a hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_a)),c_COMBI(T_a)),c_FuncSet_OPi(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))).
% 6.77/6.90 all V_i_2 V_Fa_2 (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_Fa_2),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))-> ((all B_x (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))-> (all B_a B_b (B_a!=B_b-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,V_i_2)))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x))))))))->c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2))).
% 6.77/6.90 all V_Fa_2 (c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)<-> (all B_x (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))-> (all B_a B_b ((all B_i hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,B_i))))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x)))))))).
% 6.77/6.90 all V_Fa_2 (c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)<-> (all B_x (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))-> (all B_xa (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_xa),c_Arrow__Order__Mirabelle_OProf))-> (all B_a B_b ((all B_i (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,B_i)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,B_i)))))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_xa))))))))))).
% 6.77/6.90 all V_i_2 V_Fa_2 (c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)<-> (all B_x (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))->hAPP(V_Fa_2,B_x)=hAPP(B_x,V_i_2)))).
% 6.77/6.90 all V_y_2 V_x_2 V_R_2 T_b T_a (c_FunDef_Oin__rel(T_a,T_b,V_R_2,V_x_2,V_y_2)<->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2))).
% 6.77/6.90 all V_B_2 V_f_2 T_b V_A_2 T_a ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x)))))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))).
% 6.77/6.90 all T_a V_R_2 V_y_2 V_y_H_2 T_b V_x_2 V_P_2 (hBOOL(hAPP(V_P_2,V_x_2))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2))))).
% 6.77/6.90 all V_f_2 V_y_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omeasure(T_a,V_f_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))).
% 6.77/6.90 all V_B_2 V_f_2 T_b V_A_2 T_a ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),V_B_2))))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))).
% 6.77/6.91 all V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (exists B_x (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x),c_Arrow__Order__Mirabelle_OLin))&hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),B_x))))).
% 6.77/6.91 all V_r_2 T_a (c_Nitpick_Orefl_H(T_a,V_r_2)<-> (all B_x hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)))).
% 6.77/6.91 all V_R_2 T_a V_y_2 V_x_2 V_f_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)))).
% 6.77/6.91 all V_n_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))).
% 6.77/6.91 all V_B_2 V_f_2 T_b V_A_2 T_a ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x)))))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))).
% 6.77/6.91 all V_n_2 V_m_2 T_a (class_Nat_Osemiring__char__0(T_a)-> (hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)<->V_m_2=V_n_2)).
% 6.77/6.91 all V_c_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))-> (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)))).
% 6.77/6.91 all V_m T_a (class_Rings_Olinordered__semidom(T_a)-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a)))).
% 6.77/6.91 all T_a (class_Rings_Osemiring__1(T_a)->hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(T_a)).
% 6.77/6.91 all V_n_2 V_m_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)))).
% 6.77/6.91 all V_n V_m T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))))).
% 6.77/6.91 all V_n V_m T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)))).
% 6.77/6.91 all V_s_2 V_r_2 V_b_H_2 V_a_H_2 V_ba_2 V_aa_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_a_H_2)),V_r_2))|V_aa_2=V_a_H_2&hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_b_H_2)),V_s_2))).
% 6.77/6.91 all V_n_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))).
% 6.77/6.91 c_HOL_Obool_Obool__size(c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.77/6.91 c_HOL_Obool_Obool__size(c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.77/6.91 all V_B_2 T_b V_g_2 V_f_2 V_A_2 T_a ((all B_w (hBOOL(hAPP(hAPP(c_member(T_a),B_w),V_A_2))->hAPP(V_f_2,B_w)=hAPP(V_g_2,B_w)))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))<->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))))).
% 6.77/6.91 all V_D_2 V_ha_2 T_d V_C_2 V_g_2 T_c V_B_2 V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_c)),V_g_2),c_FuncSet_OPi(T_b,T_c,V_B_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b,V_C_2))))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,T_d)),V_ha_2),c_FuncSet_OPi(T_c,T_d,V_C_2,c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c,V_D_2))))->c_FuncSet_Ocompose(T_a,T_c,T_d,V_A_2,V_ha_2,c_FuncSet_Ocompose(T_a,T_b,T_c,V_A_2,V_g_2,V_f_2))=c_FuncSet_Ocompose(T_a,T_b,T_d,V_A_2,c_FuncSet_Ocompose(T_b,T_c,T_d,V_B_2,V_ha_2,V_g_2),V_f_2)))).
% 6.77/6.91 all V_C_2 V_g_2 T_c V_B_2 V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_c)),V_g_2),c_FuncSet_OPi(T_b,T_c,V_B_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b,V_C_2))))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_c)),c_FuncSet_Ocompose(T_a,T_b,T_c,V_A_2,V_g_2,V_f_2)),c_FuncSet_OPi(T_a,T_c,V_A_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a,V_C_2)))))).
% 6.77/6.91 all V_r_2 V_aa_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))<-> (all B_x (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_aa_2)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2)))))).
% 6.77/6.91 all V_C_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)))).
% 6.77/6.91 all V_n_2 V_m_2 (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)<->V_m_2=V_n_2).
% 6.77/6.91 all V_y V_x (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))|V_x=V_y|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x))).
% 6.77/6.91 all V_k (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 6.77/6.91 all V_f_2 V_g_2 T_b T_c V_A_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hAPP(c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_g_2,V_f_2),V_x_2)=hAPP(V_g_2,hAPP(V_f_2,V_x_2))).
% 6.77/6.91 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.77/6.91 all V_n_2 (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.77/6.91 all V_n_2 V_m_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))).
% 6.77/6.91 all V_aa_2 V_r_2 V_ba_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Wellfounded_Oacc(T_a,V_r_2)))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2))))).
% 6.77/6.91 all V_y_2 V_x_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))).
% 6.77/6.91 c_Groups_Ozero__class_Ozero(tc_Int_Oint)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.77/6.91 all V_k (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))-> (exists B_n (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))&V_k=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)))).
% 6.77/6.91 all V_x_2 V_r_2 T_a (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a,c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a,c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2))<->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2)))).
% 6.92/6.91 all V_R_2 V_x_2 T_a (-hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))-> -(all B_z (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_x_2)),V_R_2))->hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2)))))).
% 6.92/6.91 all V_r_2 V_x_2 T_a ((all B_y (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2)))))->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2)))).
% 6.92/6.91 all V_z_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))).
% 6.92/6.91 all V_z_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)))).
% 6.92/6.91 all V_z_2 V_w_2 T_a (class_Int_Oring__char__0(T_a)-> (c_Int_Oring__1__class_Oof__int(T_a,V_w_2)=c_Int_Oring__1__class_Oof__int(T_a,V_z_2)<->V_w_2=V_z_2)).
% 6.92/6.91 all V_aa_2 V_r_2 T_a (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))<-> (all B_x (hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))->hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x))))).
% 6.92/6.91 all V_aa_2 V_r_2 T_a (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))<-> (all B_x (hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))->hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x))))).
% 6.92/6.91 all V_aa_2 V_ba_2 V_r_2 T_a (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_ba_2))-> (hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))->hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2)))).
% 6.92/6.91 all V_n (c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)).
% 6.92/6.91 all V_z_2 T_a (class_Int_Oring__char__0(T_a)-> (c_Int_Oring__1__class_Oof__int(T_a,V_z_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_z_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.91 all V_z_2 T_a (class_Int_Oring__char__0(T_a)-> (c_Groups_Ozero__class_Ozero(T_a)=c_Int_Oring__1__class_Oof__int(T_a,V_z_2)<->V_z_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.91 all T_a (class_Rings_Oring__1(T_a)->c_Int_Oring__1__class_Oof__int(T_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(T_a)).
% 6.92/6.91 all V_z_2 V_w_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Int_Oring__1__class_Oof__int(T_a,V_w_2)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)))).
% 6.92/6.91 all V_n T_a (class_Rings_Oring__1(T_a)->c_Int_Oring__1__class_Oof__int(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)).
% 6.92/6.91 all V_y_2 V_x_2 (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)<->V_x_2=V_y_2).
% 6.92/6.91 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_COMBK(tc_HOL_Obool,tc_Nat_Onat,c_fTrue)).
% 6.92/6.91 all V_k V_j V_i (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k),V_i)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k),V_j))))).
% 6.92/6.91 all V_g_2 V_f_2 V_A_2 T_c T_b T_a hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_f_2,V_g_2)),c_FuncSet_Oextensional(T_a,T_b,V_A_2))).
% 6.92/6.91 all V_i_2 V_P_2 (hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))<-> (all B_n (V_i_2=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)->hBOOL(hAPP(V_P_2,B_n))))& (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))->hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))).
% 6.92/6.91 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.91 c_Nat_Osize__class_Osize(tc_HOL_Obool,c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.91 c_Nat_Osize__class_Osize(tc_HOL_Obool,c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.91 all V_z V_w T_a (class_Rings_Oring__1(T_a)->c_Int_Oring__1__class_Oof__int(T_a,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_w,V_z))=c_Groups_Otimes__class_Otimes(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_w),c_Int_Oring__1__class_Oof__int(T_a,V_z))).
% 6.92/6.91 all V_z3 V_z2 V_z1 (c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z1,V_z2),V_z3)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z1,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z2,V_z3))).
% 6.92/6.91 all V_w V_z (c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z,V_w)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_w,V_z)).
% 6.92/6.91 all V_n V_m T_a (class_Rings_Osemiring__1(T_a)->hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n))=c_Groups_Otimes__class_Otimes(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))).
% 6.92/6.91 all V_n (hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=V_n).
% 6.92/6.91 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.91 c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 6.92/6.91 all V_k V_j V_i (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_k,V_i)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_k,V_j))))).
% 6.92/6.91 all V_w_2 V_z_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)))).
% 6.92/6.91 all V_z_2 V_w_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))&hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))).
% 6.92/6.91 all V_z_2 V_m_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2))).
% 6.92/6.91 all V_z_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))).
% 6.92/6.91 all V_c V_a V_b T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)))))).
% 6.92/6.91 all V_c V_a V_b T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)))))).
% 6.92/6.91 all V_c V_b V_a T_a (class_Rings_Olinordered__comm__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)))))).
% 6.92/6.91 all V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)))))).
% 6.92/6.91 all V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)))))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)))))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 6.92/6.91 all V_k V_n V_m (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n),V_k)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n,V_k))).
% 6.92/6.91 all V_n V_m (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n,V_m)).
% 6.92/6.91 all V_n (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)).
% 6.92/6.91 all V_m (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)).
% 6.92/6.91 all V_n_2 V_m_2 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.91 all V_n_2 V_m_2 V_k_2 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)<->V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.91 all V_n_2 V_k_2 V_m_2 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)<->V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.91 all V_n_2 V_m_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_n_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))&hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))).
% 6.92/6.91 all V_n_2 V_m_2 V_k_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))&hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))).
% 6.92/6.91 all V_n_2 V_k_2 V_m_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))&hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))).
% 6.92/6.91 all V_k V_j V_i (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_i,V_k)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_j,V_k))))).
% 6.92/6.91 all V_k V_j V_i (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_i)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_j))))).
% 6.92/6.91 all V_n V_m (c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n))).
% 6.92/6.91 all V_n V_m (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n))=c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))).
% 6.92/6.91 all V_y V_x (c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_x,V_y))).
% 6.92/6.91 all V_y V_x T_a (class_Rings_Olinordered__idom(T_a)-> (V_x!=V_y-> (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Ono__zero__divisors(T_a)-> (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))).
% 6.92/6.91 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)->c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)!=c_Groups_Ozero__class_Ozero(T_a)))).
% 6.92/6.91 all V_ba_2 V_aa_2 T_a (class_Rings_Oring__no__zero__divisors(T_a)-> (c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_aa_2=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2=c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.91 all V_a T_a (class_Rings_Omult__zero(T_a)->c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 6.92/6.91 all V_a T_a (class_Rings_Omult__zero(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 6.92/6.91 all V_a T_a (class_Rings_Olinordered__ring(T_a)-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_a)),c_Groups_Ozero__class_Ozero(T_a)))).
% 6.92/6.91 all V_ba_2 V_c_2 V_aa_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_c_2)),c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_c_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))&hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))&hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)))).
% 6.92/6.91 all V_ba_2 V_aa_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))&hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))&hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)))).
% 6.92/6.91 all V_ba_2 V_aa_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)))))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_b,V_a)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))))).
% 6.92/6.91 all V_a V_b T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_a)))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))))).
% 6.92/6.91 all V_ba_2 V_aa_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2))))).
% 6.92/6.91 all V_n_2 V_m_2 V_k_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))-> (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)<->V_m_2=V_n_2)).
% 6.92/6.91 all V_n_2 V_m_2 V_k_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)))).
% 6.92/6.91 all V_n_2 V_m_2 V_k_2 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)<->V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2=V_n_2).
% 6.92/6.91 all V_B_2 V_A_2 V_g_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))->c_FuncSet_Ocompose(T_a,T_a,T_b,V_A_2,V_g_2,c_FuncSet_Orestrict(T_a,T_a,c_COMBI(T_a),V_A_2))=V_g_2)).
% 6.92/6.91 all V_B_2 V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))->c_FuncSet_Ocompose(T_a,T_b,T_b,V_A_2,c_FuncSet_Orestrict(T_b,T_b,c_COMBI(T_b),V_B_2),V_f_2)=V_f_2)).
% 6.92/6.91 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 6.92/6.91 all V_f_2 V_g_2 V_A_2 T_b T_c T_a (c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_g_2,V_f_2)=c_FuncSet_Orestrict(T_a,T_b,hAPP(c_COMBB(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2)).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)=c_Groups_Otimes__class_Otimes(T_a,V_b,V_a)).
% 6.92/6.91 all V_ry V_rx V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,V_rx,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ry))).
% 6.92/6.91 all V_ry V_rx V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),V_ry)).
% 6.92/6.91 all V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_rx)=c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_ly,V_rx))).
% 6.92/6.91 all V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_rx)=c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),V_ly)).
% 6.92/6.91 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_ly,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry)))).
% 6.92/6.91 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,V_rx,c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_ry))).
% 6.92/6.91 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),c_Groups_Otimes__class_Otimes(T_a,V_ly,V_ry))).
% 6.92/6.91 all V_A_2 V_f_2 T_b T_a hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_Oextensional(T_a,T_b,V_A_2))).
% 6.92/6.91 all V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))->c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)=V_f_2).
% 6.92/6.91 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 6.92/6.91 all V_B_2 V_f_2 T_b V_A_2 T_a ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),hAPP(V_B_2,B_x)))))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))).
% 6.92/6.91 all V_B_2 V_f_2 T_b V_A_2 T_a ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,B_x)),V_B_2))))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))).
% 6.92/6.91 all V_m_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))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))).
% 6.92/6.91 all V_z T_a (class_Rings_Oring__1(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))->hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z))=c_Int_Oring__1__class_Oof__int(T_a,V_z))).
% 6.92/6.91 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_Otimes__class_Otimes(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_x,V_y)))).
% 6.92/6.91 all V_z_2 V_w_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_w_2)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)))).
% 6.92/6.91 all V_n_2 V_m_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)))).
% 6.92/6.91 all V_w hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w),V_w)).
% 6.92/6.91 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))).
% 6.92/6.91 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)))).
% 6.92/6.91 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)).
% 6.92/6.91 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))).
% 6.92/6.91 all V_w_2 V_z_2 (hBOOL(hAPP(hAPP(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).
% 6.92/6.91 all V_z_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))).
% 6.92/6.91 all V_z_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)),c_Int_Oring__1__class_Oof__int(T_a,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)))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a))))).
% 6.92/6.91 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)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d)))))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d)))))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)))))).
% 6.92/6.91 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)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_b,V_a)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a)))))).
% 6.92/6.91 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)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)))))).
% 6.92/6.91 all V_ba_2 V_aa_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_aa_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_aa_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_aa_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)))).
% 6.92/6.91 all V_ba_2 V_aa_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)),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_aa_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_aa_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))))).
% 6.92/6.91 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)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_a)))).
% 6.92/6.91 all V_m 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)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)))).
% 6.92/6.91 all V_n 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)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))).
% 6.92/6.91 all V_z hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))).
% 6.92/6.91 all V_P_2 ((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,B_x))))<-> (exists B_x hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))))).
% 6.92/6.91 all V_P_2 ((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,B_x))))<-> (all B_x hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))))).
% 6.92/6.91 all V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))).
% 6.92/6.91 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))).
% 6.92/6.91 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)))))).
% 6.92/6.91 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)))))).
% 6.92/6.91 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))).
% 6.92/6.91 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_Otimes__class_Otimes(tc_Int_Oint,V_x,V_y))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)))-> (hBOOL(hAPP(hAPP(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))))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)))-> (hBOOL(hAPP(hAPP(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))))).
% 6.92/6.91 all V_b V_a V_c T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))))).
% 6.92/6.91 all V_b V_a V_c T_a (class_Rings_Olinordered__semiring(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))))).
% 6.92/6.91 all V_b V_c V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))))).
% 6.92/6.91 all V_b V_c V_a T_a (class_Rings_Olinordered__semiring(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))))).
% 6.92/6.91 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))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))-> (hBOOL(hAPP(hAPP(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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d)))))))).
% 6.92/6.91 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(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))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d)))))))).
% 6.92/6.91 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))-> (hBOOL(hAPP(hAPP(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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d)))))))).
% 6.92/6.91 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))-> (hBOOL(hAPP(hAPP(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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d)))))))).
% 6.92/6.91 all V_ba_2 V_aa_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(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_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),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_aa_2))))).
% 6.92/6.91 all V_ba_2 V_aa_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hBOOL(hAPP(hAPP(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_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),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_aa_2),V_ba_2))))).
% 6.92/6.91 all V_n_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.91 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)))).
% 6.92/6.91 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)).
% 6.92/6.91 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))->hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z))=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_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.91 all V_z_2 V_m_2 (hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)=V_z_2<->V_m_2=hAPP(c_Int_Onat,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))).
% 6.92/6.91 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))->hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z))=V_z).
% 6.92/6.91 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(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2))))).
% 6.92/6.91 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))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)))).
% 6.92/6.91 all V_w_2 V_m_2 (V_m_2=hAPP(c_Int_Onat,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))->V_w_2=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))& (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))->V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.91 all V_m_2 V_w_2 (hAPP(c_Int_Onat,V_w_2)=V_m_2<-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))->V_w_2=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))& (-hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))->V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.91 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,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z,V_z_H))=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,hAPP(c_Int_Onat,V_z),hAPP(c_Int_Onat,V_z_H))).
% 6.92/6.91 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))).
% 6.92/6.91 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))).
% 6.92/6.91 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(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x))))).
% 6.92/6.91 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(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z))))).
% 6.92/6.91 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(hAPP(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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x))))).
% 6.92/6.91 all V_c_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))-> (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)))).
% 6.92/6.91 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)).
% 6.92/6.91 all V_R2_2 V_R1_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R1_2),V_R2_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Oacc(T_a,V_R2_2)),c_Wellfounded_Oacc(T_a,V_R1_2)))).
% 6.92/6.91 all V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (hBOOL(hAPP(hAPP(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)))).
% 6.92/6.91 all V_B_2 T_b V_A_2 V_A_H_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_H_2),V_A_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)),c_FuncSet_OPi(T_a,T_b,V_A_H_2,V_B_2)))).
% 6.92/6.91 all V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_n)).
% 6.92/6.91 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))).
% 6.92/6.91 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))).
% 6.92/6.91 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)))).
% 6.92/6.91 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)).
% 6.92/6.91 all V_R2_2 V_R1_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_R1_2),V_R2_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Oaccp(T_a,V_R2_2)),c_Wellfounded_Oaccp(T_a,V_R1_2)))).
% 6.92/6.91 all V_S_2 V_R_2 T_b T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2),V_S_2))).
% 6.92/6.91 all V_x_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))-> (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)))).
% 6.92/6.91 all V_B_2 V_A_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)))).
% 6.92/6.91 all V_x_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))-> (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)))).
% 6.92/6.91 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)).
% 6.92/6.91 all V_n_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.91 all V_n_2 V_m_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))&V_m_2!=V_n_2).
% 6.92/6.91 all V_n_2 V_m_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))|V_m_2=V_n_2).
% 6.92/6.91 all V_n V_m (hBOOL(hAPP(hAPP(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))).
% 6.92/6.91 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->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)))).
% 6.92/6.91 all V_n V_m (hBOOL(hAPP(hAPP(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))).
% 6.92/6.91 all V_y V_x (hBOOL(hAPP(hAPP(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))).
% 6.92/6.91 all V_m hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_m))).
% 6.92/6.91 all V_m hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_m)))).
% 6.92/6.91 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_Otimes__class_Otimes(tc_Nat_Onat,V_i,V_k)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_j,V_k)))).
% 6.92/6.91 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_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_i)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_j)))).
% 6.92/6.91 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_Otimes__class_Otimes(tc_Nat_Onat,V_i,V_k)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_j,V_l))))).
% 6.92/6.91 all V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))&V_A_2!=V_B_2).
% 6.92/6.91 all V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|V_A_2=V_B_2).
% 6.92/6.91 all V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))).
% 6.92/6.91 all V_C_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)))).
% 6.92/6.91 all V_C_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)))).
% 6.92/6.91 all V_S_2 V_R_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_R_2),V_S_2))).
% 6.92/6.91 all V_y_2 V_x_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x_2),V_y_2))).
% 6.92/6.91 all V_n_2 V_m_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))).
% 6.92/6.91 all V_B_2 V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_B_2))))).
% 6.92/6.91 all V_n_2 V_m_2 V_k_2 (hBOOL(hAPP(hAPP(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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)))).
% 6.92/6.91 all V_n_2 V_k_2 V_m_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)))<-> (hBOOL(hAPP(hAPP(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_m_2),V_n_2)))).
% 6.92/6.91 all V_n_2 V_m_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))<-> (hBOOL(hAPP(hAPP(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_m_2),V_n_2)))).
% 6.92/6.91 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)))))).
% 6.92/6.91 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))).
% 6.92/6.91 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)))).
% 6.92/6.91 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)))).
% 6.92/6.91 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))))).
% 6.92/6.91 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))).
% 6.92/6.91 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))))).
% 6.92/6.91 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))))).
% 6.92/6.91 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))))).
% 6.92/6.91 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))))).
% 6.92/6.91 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))).
% 6.92/6.91 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))))).
% 6.92/6.91 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))).
% 6.92/6.91 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))))).
% 6.92/6.91 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))))).
% 6.92/6.91 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)))).
% 6.92/6.91 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))))).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))-> (V_x!=V_y->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))))).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)))).
% 6.92/6.91 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x))))).
% 6.92/6.91 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z))))).
% 6.92/6.91 all V_c V_a V_b T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))-> (V_b=V_c->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a))))).
% 6.92/6.91 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))-> (V_b=V_c->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c))))).
% 6.92/6.91 all V_c V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a=V_b-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a))))).
% 6.92/6.91 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (V_a=V_b-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c))))).
% 6.92/6.91 all V_a V_b T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)))).
% 6.92/6.91 all V_b V_a T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)))).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))->V_y!=V_x)).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))->V_x!=V_y)).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)))).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)))).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))->V_x!=V_y)).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (V_x!=V_y-> (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))))).
% 6.92/6.91 all V_x_2 V_y_2 T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))-> (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))<->V_x_2=V_y_2))).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))).
% 6.92/6.91 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))|V_x_2=V_y_2)).
% 6.92/6.91 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (V_x_2!=V_y_2<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)))).
% 6.92/6.91 all V_x T_a (class_Orderings_Opreorder(T_a)-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x))).
% 6.92/6.91 all V_R_2 T_a V_y_2 V_x_2 V_f_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))-> (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))))).
% 6.92/6.91 all V_z_2 V_w_2 (hBOOL(hAPP(hAPP(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)))).
% 6.92/6.91 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(hAPP(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)))).
% 6.92/6.91 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))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)))).
% 6.92/6.91 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(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))).
% 6.92/6.91 all V_y_2 V_x_2 T_a (class_Orderings_Oorder(T_a)-> (hBOOL(hAPP(hAPP(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)).
% 6.92/6.91 all V_y_2 V_x_2 T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(hAPP(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)))).
% 6.92/6.91 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))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|V_x_2=V_y_2)).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(hAPP(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)))).
% 6.92/6.91 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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)))).
% 6.92/6.91 all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-hBOOL(hAPP(hAPP(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))).
% 6.92/6.91 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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))))).
% 6.92/6.91 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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))))).
% 6.92/6.91 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))-> -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)))).
% 6.92/6.91 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(hAPP(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)))).
% 6.92/6.91 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))-> (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))<->V_x_2=V_y_2))).
% 6.92/6.91 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(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y)).
% 6.92/6.91 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->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))))).
% 6.92/6.91 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->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))))).
% 6.92/6.91 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (hBOOL(hAPP(hAPP(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))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z))))).
% 6.92/6.91 all V_z_H 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,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z,V_z_H))=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)),hAPP(c_Int_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z_H)))).
% 6.92/6.91 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))))).
% 6.92/6.91 all V_t_2 V_s_2 V_ba_2 V_aa_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_aa_2),V_ba_2))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__less)))).
% 6.92/6.91 all V_x_2 V_A_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))-> (-hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hAPP(V_f_2,V_x_2)=c_HOL_Oundefined(T_b))).
% 6.92/6.91 all V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2))->V_A_2=V_B_2)).
% 6.92/6.91 all V_m V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))).
% 6.92/6.91 all V_A_2 T_a hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_A_2)).
% 6.92/6.91 all T_a V_B_2 V_A_2 (V_A_2=V_B_2<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))&hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2))).
% 6.92/6.91 all V_Q_2 T_a V_x_2 V_P_2 (hBOOL(hAPP(V_P_2,V_x_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2),V_Q_2))->hBOOL(hAPP(V_Q_2,V_x_2)))).
% 6.92/6.91 all T_a V_B_2 V_A_2 (V_A_2=V_B_2->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))).
% 6.92/6.91 all T_a V_B_2 V_A_2 (V_A_2=V_B_2->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2))).
% 6.92/6.91 all V_x_2 V_Q_2 V_P_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2),V_Q_2))-> (hBOOL(hAPP(V_P_2,V_x_2))->hBOOL(hAPP(V_Q_2,V_x_2)))).
% 6.92/6.91 all V_C_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2)))).
% 6.92/6.91 all V_y_2 V_x_2 V_Q_2 V_P_2 T_b T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))-> (hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))->hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)))).
% 6.92/6.91 all T_a V_B_2 V_A_2 (V_A_2=V_B_2-> -(hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))-> -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)))).
% 6.92/6.91 all V_Q_2 T_b T_a V_y_2 V_x_2 V_P_2 (hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))->hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)))).
% 6.92/6.91 all V_ba_2 V_aa_2 T_a (class_Rings_Oidom(T_a)-> (c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_aa_2)=c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_ba_2)<->V_aa_2=V_ba_2|V_aa_2=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Oring(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b))=c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Oring(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)=c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b))).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Oring(T_a)->c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))=c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)).
% 6.92/6.91 all V_b V_a T_a (class_Rings_Oring(T_a)->c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))=c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b))).
% 6.92/6.91 all V_z T_a (class_Rings_Oring__1(T_a)->c_Int_Oring__1__class_Oof__int(T_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z))=c_Groups_Ouminus__class_Ouminus(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_z))).
% 6.92/6.91 all V_z (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z))=V_z).
% 6.92/6.91 all V_w V_z (c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),V_w)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z,V_w))).
% 6.92/6.91 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.91 all V_aa_2 T_a (class_Rings_Olinordered__idom(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ozero__class_Ozero(T_a))))).
% 6.92/6.91 all V_m_2 V_n_2 (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.91 all V_m V_n (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))))).
% 6.92/6.91 all V_t_2 V_s_2 V_ba_2 V_aa_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_aa_2),V_ba_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__less))).
% 6.92/6.91 all V_k T_a (class_Rings_Oring__1(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))->c_Int_Oring__1__class_Oof__int(T_a,V_k)=c_Groups_Ouminus__class_Ouminus(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_k)))))& (-hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))->c_Int_Oring__1__class_Oof__int(T_a,V_k)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)))).
% 6.92/6.91 all V_m_2 V_n_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.91 all V_n hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.91 all V_n (hAPP(c_Int_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.91 all V_f_2 T_b V_A_2 V_x_2 T_a ((hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2)=hAPP(V_f_2,V_x_2))& (-hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2)=c_HOL_Oundefined(T_b))).
% 6.92/6.91 all V_f_2 T_b V_A_2 V_x_2 T_a ((hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2)=hAPP(V_f_2,V_x_2))& (-hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))->hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2)=c_HOL_Oundefined(T_b))).
% 6.92/6.91 all V_t_2 V_s_2 V_ba_2 V_aa_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_aa_2),V_ba_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_s_2),V_t_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__le_q)))).
% 6.92/6.91 all V_t_2 V_s_2 V_ba_2 V_aa_2 (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_aa_2),V_ba_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__le_q))).
% 6.92/6.91 all V_A_2 V_c_2 T_a (-hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))).
% 6.92/6.92 all V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_B_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2))).
% 6.92/6.92 all V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_B_2)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))).
% 6.92/6.92 all V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))-> -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))).
% 6.92/6.92 all V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))-> -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))).
% 6.92/6.92 all V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))<-> -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ozero__class_Ozero(T_a))))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),c_Groups_Ozero__class_Ozero(T_a)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)))).
% 6.92/6.92 all V_A_2 T_a (c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2))=V_A_2).
% 6.92/6.92 all V_B_2 V_A_2 T_a (c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)=c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_B_2)<->V_A_2=V_B_2).
% 6.92/6.92 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))).
% 6.92/6.92 all V_c V_b V_a T_a (class_Groups_Oab__semigroup__mult(T_a)->c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),V_c)=c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Otimes__class_Otimes(T_a,V_b,V_c))).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Ogroup__add(T_a)-> (c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)<->V_aa_2=V_ba_2)).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Ogroup__add(T_a)-> (c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)=V_ba_2<->c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)=V_aa_2)).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Ogroup__add(T_a)-> (V_aa_2=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)<->V_ba_2=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))).
% 6.92/6.92 all V_a T_a (class_Groups_Ogroup__add(T_a)->c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a))=V_a).
% 6.92/6.92 all V_b V_a T_a (class_Groups_Oordered__ab__group__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_Ouminus__class_Ouminus(T_a,V_b)),c_Groups_Ouminus__class_Ouminus(T_a,V_a))))).
% 6.92/6.92 all V_aa_2 V_ba_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),V_ba_2)))).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_ba_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),V_aa_2)))).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)=V_aa_2<->V_aa_2=c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Ogroup__add(T_a)-> (c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_aa_2=c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (V_aa_2=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)<->V_aa_2=c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Ogroup__add(T_a)-> (c_Groups_Ozero__class_Ozero(T_a)=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)<->c_Groups_Ozero__class_Ozero(T_a)=V_aa_2)).
% 6.92/6.92 all T_a (class_Groups_Ogroup__add(T_a)->c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 6.92/6.92 all V_aa_2 V_ba_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2)))).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_ba_2))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),V_aa_2)))).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Oordered__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_Ouminus__class_Ouminus(T_a,V_aa_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_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_aa_2)))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_aa_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)))).
% 6.92/6.92 all V_aa_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_aa_2))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)))).
% 6.92/6.92 all V_x_2 V_A_2 T_b T_a (class_Groups_Ouminus(T_a)->hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2)=c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2))).
% 6.92/6.92 all V_x_2 V_A_2 T_b T_a (class_Groups_Ouminus(T_a)->hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2)=c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2))).
% 6.92/6.92 all V_a T_a (class_Lattices_Oab__semigroup__idem__mult(T_a)->c_Groups_Otimes__class_Otimes(T_a,V_a,V_a)=V_a).
% 6.92/6.92 all V_x T_a (class_Lattices_Oab__semigroup__idem__mult(T_a)->c_Groups_Otimes__class_Otimes(T_a,V_x,V_x)=V_x).
% 6.92/6.92 all V_b V_a T_a (class_Lattices_Oab__semigroup__idem__mult(T_a)->c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))=c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)).
% 6.92/6.92 all V_x T_a (class_Lattices_Oboolean__algebra(T_a)->c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x))=V_x).
% 6.92/6.92 all V_y_2 V_x_2 T_a (class_Lattices_Oboolean__algebra(T_a)-> (c_Groups_Ouminus__class_Ouminus(T_a,V_x_2)=c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)<->V_x_2=V_y_2)).
% 6.92/6.92 all V_y_2 V_x_2 T_a (class_Lattices_Oboolean__algebra(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)))).
% 6.92/6.92 all V_y V_x T_a (class_Lattices_Oboolean__algebra(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,c_Groups_Ouminus__class_Ouminus(T_a,V_y)),c_Groups_Ouminus__class_Ouminus(T_a,V_x))))).
% 6.92/6.92 all V_f_2 T_b V_r_2 V_x_2 V_y_2 T_a ((hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))->hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2),V_y_2)=hAPP(V_f_2,V_y_2))& (-hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))->hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2),V_y_2)=c_HOL_Oundefined(T_b))).
% 6.92/6.92 all V_C_2 V_B_2 T_b V_A_2 T_a ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),hAPP(V_B_2,B_x)),hAPP(V_C_2,B_x)))))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,V_C_2)))).
% 6.92/6.92 all T_b V_aa_2 V_x_2 T_a B_f B_R (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_aa_2)),B_R))->hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),B_f),B_R),V_aa_2),V_x_2)=hAPP(B_f,V_x_2)).
% 6.92/6.92 all V_g_2 V_x_2 V_r_2 V_f_2 T_b T_a (hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2)=hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_g_2),V_r_2),V_x_2)<-> (all B_y (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2))->hAPP(V_f_2,B_y)=hAPP(V_g_2,B_y)))).
% 6.92/6.92 all V_f_2 T_b V_r_2 V_aa_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_aa_2)),V_r_2))->hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_aa_2),V_x_2)=hAPP(V_f_2,V_x_2)).
% 6.92/6.92 all V_Fa_2 V_R_2 T_b T_a c_Recdef_Oadm__wf(T_a,T_b,V_R_2,hAPP(hAPP(c_COMBC(tc_fun(T_a,T_b),tc_fun(T_a,T_a),tc_fun(T_a,T_b)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_b)),tc_fun(T_a,T_b),c_COMBS(T_a,T_a,T_b)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(T_a,T_b),c_COMBB(tc_fun(T_a,T_b),tc_fun(T_a,T_b),T_a,V_Fa_2)),hAPP(hAPP(c_COMBC(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_fun(T_a,T_b))),c_Recdef_Ocut(T_a,T_b)),V_R_2)))),c_COMBI(T_a))).
% 6.92/6.92 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)))).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Ogroup__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_aa_2=V_ba_2)).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Oab__group__add(T_a)-> (V_aa_2=V_ba_2<->c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.92 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)).
% 6.92/6.92 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).
% 6.92/6.92 all V_d_2 V_c_2 V_ba_2 V_aa_2 T_a (class_Groups_Oab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (V_aa_2=V_ba_2<->V_c_2=V_d_2))).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))))).
% 6.92/6.92 all V_d_2 V_c_2 V_ba_2 V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),V_d_2))))).
% 6.92/6.92 all V_d_2 V_c_2 V_ba_2 V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_aa_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_aa_2),V_ba_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),V_d_2))))).
% 6.92/6.92 all V_ba_2 V_aa_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),V_ba_2))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))))).
% 6.92/6.92 all V_y V_x (c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_x,V_y))).
% 6.92/6.92 all V_m V_n T_a (class_Rings_Oring__1(T_a)-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))->hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=c_Groups_Ominus__class_Ominus(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))).
% 6.92/6.92 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)).
% 6.92/6.92 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)))).
% 6.92/6.92 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)))).
% 6.92/6.92 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).
% 6.92/6.92 all V_n_2 V_m_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))-> (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)<->V_m_2=V_n_2))).
% 6.92/6.92 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))).
% 6.92/6.92 all V_n_2 V_m_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)))<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))))).
% 6.92/6.92 all V_l V_n V_m (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))->hBOOL(hAPP(hAPP(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))))).
% 6.92/6.92 all V_n V_k V_j (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n)),V_k))).
% 6.92/6.92 all V_m_2 V_n_2 (hBOOL(hAPP(hAPP(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_n_2,V_m_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))).
% 6.92/6.92 all V_m V_n (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_m)))).
% 6.92/6.92 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)).
% 6.92/6.92 all V_n_2 V_m_2 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))).
% 6.92/6.92 all V_n_2 V_m_2 V_k_2 (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))-> (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)))<->hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))))).
% 6.92/6.92 all V_c V_b V_a (hBOOL(hAPP(hAPP(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))->hBOOL(hAPP(hAPP(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))))).
% 6.92/6.92 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)).
% 6.92/6.92 all V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m).
% 6.92/6.92 all V_m (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.92 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)).
% 6.92/6.92 all V_k V_n V_m (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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_k),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n,V_k))).
% 6.92/6.92 all V_n V_m V_k (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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_m),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_n))).
% 6.92/6.92 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)).
% 6.92/6.92 all V_z V_w T_a (class_Rings_Oring__1(T_a)->c_Int_Oring__1__class_Oof__int(T_a,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_w,V_z))=c_Groups_Ominus__class_Ominus(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_w),c_Int_Oring__1__class_Oof__int(T_a,V_z))).
% 6.92/6.92 all V_x_2 V_B_2 V_A_2 T_b T_a (class_Groups_Ominus(T_a)->hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2)=c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2))).
% 6.92/6.92 all V_x_2 V_B_2 V_A_2 T_b T_a (class_Groups_Ominus(T_a)->hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2)=c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2))).
% 6.92/6.92 all V_b V_a T_a (class_Groups_Oab__group__add(T_a)->c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))=c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)).
% 6.92/6.92 all V_a T_a (class_Groups_Ogroup__add(T_a)->c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ouminus__class_Ouminus(T_a,V_a)).
% 6.92/6.92 all V_Fa_2 V_R_2 T_b T_a (c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)<-> (all B_f B_g B_x ((all B_z (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),B_x)),V_R_2))->hAPP(B_f,B_z)=hAPP(B_g,B_z)))->hAPP(hAPP(V_Fa_2,B_f),B_x)=hAPP(hAPP(V_Fa_2,B_g),B_x)))).
% 6.92/6.93 all V_x_2 V_T_2 V_S_2 V_f_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2)))-> (-hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))->hAPP(V_f_2,V_x_2)=c_HOL_Oundefined(T_b))).
% 6.92/6.93 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))-> -(hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)))).
% 6.92/6.93 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))-> (-hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))))).
% 6.92/6.93 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_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))).
% 6.92/6.93 all V_B_2 V_A_2 T_a hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)),V_A_2)).
% 6.92/6.93 all V_B_2 V_D_2 V_C_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_D_2),V_B_2))->hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2))))).
% 6.92/6.93 all V_C_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))-> (hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))=V_A_2)).
% 6.92/6.93 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))-> -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))).
% 6.92/6.93 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))).
% 6.92/6.93 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))<->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))& -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))).
% 6.92/6.93 all T_2 T_1 (class_Lattices_Oboolean__algebra(T_1)->class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))).
% 6.92/6.93 all T_2 T_1 (class_Orderings_Opreorder(T_1)->class_Orderings_Opreorder(tc_fun(T_2,T_1))).
% 6.92/6.93 all T_2 T_1 (class_Orderings_Oorder(T_1)->class_Orderings_Oorder(tc_fun(T_2,T_1))).
% 6.92/6.93 all T_2 T_1 (class_Orderings_Oord(T_1)->class_Orderings_Oord(tc_fun(T_2,T_1))).
% 6.92/6.93 all T_2 T_1 (class_Groups_Ouminus(T_1)->class_Groups_Ouminus(tc_fun(T_2,T_1))).
% 6.92/6.93 all T_2 T_1 (class_Groups_Ominus(T_1)->class_Groups_Ominus(tc_fun(T_2,T_1))).
% 6.92/6.93 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint).
% 6.92/6.93 class_Rings_Olinordered__semiring__strict(tc_Int_Oint).
% 6.92/6.93 class_Groups_Olinordered__ab__group__add(tc_Int_Oint).
% 6.92/6.93 class_Rings_Oordered__cancel__semiring(tc_Int_Oint).
% 6.92/6.93 class_Rings_Olinordered__ring__strict(tc_Int_Oint).
% 6.92/6.93 class_Rings_Oring__no__zero__divisors(tc_Int_Oint).
% 6.92/6.93 class_Rings_Oordered__comm__semiring(tc_Int_Oint).
% 6.92/6.93 class_Groups_Oordered__ab__group__add(tc_Int_Oint).
% 6.92/6.93 class_Rings_Olinordered__semiring(tc_Int_Oint).
% 6.92/6.93 class_Rings_Olinordered__semidom(tc_Int_Oint).
% 6.92/6.93 class_Groups_Oab__semigroup__mult(tc_Int_Oint).
% 6.92/6.93 class_Rings_Oordered__semiring(tc_Int_Oint).
% 6.92/6.93 class_Rings_Ono__zero__divisors(tc_Int_Oint).
% 6.92/6.93 class_Rings_Olinordered__ring(tc_Int_Oint).
% 6.92/6.93 class_Rings_Olinordered__idom(tc_Int_Oint).
% 6.92/6.93 class_Rings_Ocomm__semiring__1(tc_Int_Oint).
% 6.92/6.93 class_Nat_Osemiring__char__0(tc_Int_Oint).
% 6.92/6.93 class_Groups_Oab__group__add(tc_Int_Oint).
% 6.92/6.93 class_Rings_Oordered__ring(tc_Int_Oint).
% 6.92/6.93 class_Orderings_Opreorder(tc_Int_Oint).
% 6.92/6.93 class_Orderings_Olinorder(tc_Int_Oint).
% 6.92/6.93 class_Rings_Osemiring__1(tc_Int_Oint).
% 6.92/6.93 class_Groups_Ogroup__add(tc_Int_Oint).
% 6.92/6.93 class_Rings_Omult__zero(tc_Int_Oint).
% 6.92/6.93 class_Orderings_Oorder(tc_Int_Oint).
% 6.92/6.93 class_Int_Oring__char__0(tc_Int_Oint).
% 6.92/6.93 class_Orderings_Oord(tc_Int_Oint).
% 6.92/6.93 class_Groups_Ouminus(tc_Int_Oint).
% 6.92/6.93 class_Rings_Oring__1(tc_Int_Oint).
% 6.92/6.93 class_Groups_Ominus(tc_Int_Oint).
% 6.92/6.93 class_Groups_Ozero(tc_Int_Oint).
% 6.92/6.93 class_Rings_Oring(tc_Int_Oint).
% 6.92/6.93 class_Rings_Oidom(tc_Int_Oint).
% 6.92/6.93 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Oordered__comm__semiring(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Olinordered__semiring(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Olinordered__semidom(tc_Nat_Onat).
% 6.92/6.93 class_Groups_Oab__semigroup__mult(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Oordered__semiring(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Ono__zero__divisors(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Ocomm__semiring__1(tc_Nat_Onat).
% 6.92/6.93 class_Nat_Osemiring__char__0(tc_Nat_Onat).
% 6.92/6.93 class_Orderings_Opreorder(tc_Nat_Onat).
% 6.92/6.93 class_Orderings_Olinorder(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Osemiring__1(tc_Nat_Onat).
% 6.92/6.93 class_Rings_Omult__zero(tc_Nat_Onat).
% 6.92/6.93 class_Orderings_Oorder(tc_Nat_Onat).
% 6.92/6.93 class_Orderings_Oord(tc_Nat_Onat).
% 6.92/6.93 class_Groups_Ominus(tc_Nat_Onat).
% 6.92/6.93 class_Groups_Ozero(tc_Nat_Onat).
% 6.92/6.93 class_Lattices_Oboolean__algebra(tc_HOL_Obool).
% 6.92/6.93 class_Orderings_Opreorder(tc_HOL_Obool).
% 6.92/6.93 class_Orderings_Oorder(tc_HOL_Obool).
% 6.92/6.93 class_Orderings_Oord(tc_HOL_Obool).
% 6.92/6.93 class_Groups_Ouminus(tc_HOL_Obool).
% 6.92/6.93 class_Groups_Ominus(tc_HOL_Obool).
% 6.92/6.93 all V_P T_a (hAPP(c_COMBI(T_a),V_P)=V_P).
% 6.92/6.93 all V_Q V_P T_b T_a (hAPP(c_COMBK(T_a,T_b,V_P),V_Q)=V_P).
% 6.92/6.93 all V_R_2 V_Q_2 V_P_2 T_c T_a T_b (hAPP(hAPP(c_COMBB(T_b,T_a,T_c,V_P_2),V_Q_2),V_R_2)=hAPP(V_P_2,hAPP(V_Q_2,V_R_2))).
% 6.92/6.93 all V_R_2 V_Q_2 V_P_2 T_a T_c T_b (hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2)=hAPP(hAPP(V_P_2,V_R_2),V_Q_2)).
% 6.92/6.93 all V_R_2 V_Q_2 V_P_2 T_a T_c T_b (hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2)=hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2))).
% 6.92/6.93 all V_y_2 V_x_2 (-hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2).
% 6.92/6.93 all V_y_2 V_x_2 (V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))).
% 6.92/6.93 -hBOOL(c_fFalse).
% 6.92/6.93 hBOOL(c_fTrue).
% 6.92/6.93 -(-hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),v_Lab____)),v_Lba____))))).
% 6.92/6.93 end_of_list.
% 6.92/6.93
% 6.92/6.93 -------> usable clausifies to:
% 6.92/6.93
% 6.92/6.93 list(usable).
% 6.92/6.93 0 [] A=A.
% 6.92/6.93 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.
% 6.92/6.93 0 [] c_Arrow__Order__Mirabelle_Ounanimity(v_F).
% 6.92/6.93 0 [] c_Arrow__Order__Mirabelle_OIIA(v_F).
% 6.92/6.93 0 [] v_a____!=v_b____.
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lba____)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lab____)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lab____)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,v_Lba____))),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_Lba____),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),V_n_2))),v_Lab____)),v_Lba____))),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.93 0 [] V_A_2!=V_B_2|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)).
% 6.92/6.93 0 [] V_A_2!=V_B_2|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)).
% 6.92/6.93 0 [] hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)!=hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)|V_R_2=V_S_2.
% 6.92/6.93 0 [] hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)=hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)|V_R_2!=V_S_2.
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2)))|V_y_2!=V_z_2.
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2)))|V_x_2!=V_z_2|V_x_2!=V_y_2.
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2)))|V_x_2=V_z_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2)))|V_y_2=V_z_2|V_x_2=V_z_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2)))|V_y_2=V_z_2|V_x_2=V_y_2|V_x_2!=V_z_2.
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_z_2)))|V_y_2=V_z_2|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2)))|V_x_2!=V_z_2.
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2)))|V_y_2!=V_z_2|V_x_2!=V_y_2.
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2)))|V_y_2=V_z_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2)))|V_x_2=V_z_2|V_y_2=V_z_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2)))|V_x_2=V_z_2|V_x_2=V_y_2|V_y_2!=V_z_2.
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_z_2)))|V_x_2=V_z_2|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),V_n_2))),v_Lab____)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.93 0 [] V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)).
% 6.92/6.93 0 [] V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_Lab____),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,V_L_2)),c_Arrow__Order__Mirabelle_OProf)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(V_L_2,V_x_2)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(V_L_2,V_x_2)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),V_L_2)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|V_x_2=V_y_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_y_2),V_x_2)),V_L_2)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_y_2),V_x_2)),V_L_2)).
% 6.92/6.93 0 [] V_aa_2!=V_ba_2| -hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),V_A_2)).
% 6.92/6.93 0 [] V_x_2!=V_y_2| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)).
% 6.92/6.93 0 [] V_x_2!=V_y_2|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)).
% 6.92/6.93 0 [] V_A_2!=V_B_2| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)).
% 6.92/6.93 0 [] V_A_2!=V_B_2|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_fe_qual(V_y_2)))|V_x_2=V_y_2.
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_fe_qual(V_y_2)))|V_x_2!=V_y_2.
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(V_A_2,V_x_2)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))| -hBOOL(hAPP(V_A_2,V_x_2)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))|V_m_2=V_n_2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))|hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))|V_s!=V_t.
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))|V_m!=V_n.
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)).
% 6.92/6.93 0 [] V_x=V_y|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)).
% 6.92/6.93 0 [] V_m_2=V_n_2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)).
% 6.92/6.93 0 [] V_m_2!=V_n_2| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.93 0 [] V_m_2!=V_n_2| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)).
% 6.92/6.93 0 [] hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)!=hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)|V_R_2=V_S_2.
% 6.92/6.93 0 [] hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)=hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)|V_R_2!=V_S_2.
% 6.92/6.93 0 [] V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)).
% 6.92/6.93 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))|V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),$c1)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$c1),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),$c2)).
% 6.92/6.93 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$c2),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.93 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f2(V_P_H_2,V_P_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(V_P_H_2,$f2(V_P_H_2,V_P_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f2(V_P_H_2,V_P_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(V_P_H_2,$f2(V_P_H_2,V_P_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f2(V_P_H_2,V_P_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(V_P_H_2,$f2(V_P_H_2,V_P_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f2(V_P_H_2,V_P_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(V_P_H_2,$f2(V_P_H_2,V_P_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_aa_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f3(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f3(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f3(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f3(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f3(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f3(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f3(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f3(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_ba_2=V_c_2|V_aa_2=V_c_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f4(V_P_H_2,V_P_2,V_c_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(V_P_H_2,$f4(V_P_H_2,V_P_2,V_c_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_ba_2=V_c_2|V_aa_2=V_c_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f4(V_P_H_2,V_P_2,V_c_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(V_P_H_2,$f4(V_P_H_2,V_P_2,V_c_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_ba_2=V_c_2|V_aa_2=V_c_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f4(V_P_H_2,V_P_2,V_c_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(V_P_H_2,$f4(V_P_H_2,V_P_2,V_c_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_ba_2=V_c_2|V_aa_2=V_c_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f4(V_P_H_2,V_P_2,V_c_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(V_P_H_2,$f4(V_P_H_2,V_P_2,V_c_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_c_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f5(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f5(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f5(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f5(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.93 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f6(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f6(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.94 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f6(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f6(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.94 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f6(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f6(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.94 0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_P_H_2),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(V_P_2,$f6(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(V_P_H_2,$f6(V_P_H_2,V_P_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),hAPP(v_F,V_P_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_a_H_2),V_b_H_2)),hAPP(v_F,V_P_H_2))).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2!=V_y_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_y_2!=V_aa_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_y_2=V_aa_2|V_x_2!=V_aa_2|V_y_2=V_ba_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_y_2=V_aa_2|V_x_2=V_aa_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_y_2=V_aa_2|V_x_2=V_aa_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_y_2=V_aa_2|V_y_2!=V_ba_2|V_x_2!=V_aa_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_y_2=V_aa_2|V_y_2!=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_y_2=V_aa_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_y_2)),V_L_2))|V_x_2!=V_aa_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_y_2=V_aa_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_y_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2))|V_y_2!=V_aa_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2))|V_x_2=V_aa_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2))|V_y_2!=V_ba_2|V_x_2!=V_aa_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2))|V_y_2!=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_y_2)),V_L_2))|V_x_2!=V_aa_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_ba_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_ba_2),V_y_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2!=V_y_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2!=V_ba_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_ba_2|V_y_2!=V_ba_2|V_x_2=V_aa_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_aa_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_ba_2|V_y_2=V_ba_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_x_2=V_ba_2|V_y_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_x_2=V_ba_2|V_x_2!=V_aa_2|V_y_2!=V_ba_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_x_2=V_ba_2|V_x_2!=V_aa_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_x_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_aa_2)),V_L_2))|V_y_2!=V_ba_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2|V_x_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_aa_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2))|V_x_2!=V_ba_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2))|V_y_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2))|V_x_2!=V_aa_2|V_y_2!=V_ba_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2))|V_x_2!=V_aa_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_aa_2)),V_L_2))|V_y_2!=V_ba_2.
% 6.92/6.94 0 [] V_aa_2=V_ba_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2)))|V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_y_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_aa_2)),V_L_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x_2),V_y_2)),V_L_2)).
% 6.92/6.94 0 [] V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_x_2,V_y_2)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.94 0 [] V_x_2=V_y_2| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_L_2),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_x_2,V_y_2)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_B_2,V_x_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),V_B_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_B_2,V_x_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_a)),c_COMBI(T_a)),c_FuncSet_OPi(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_Fa_2),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),$f9(V_i_2,V_Fa_2)),c_Arrow__Order__Mirabelle_OProf))|c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_Fa_2),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))|$f8(V_i_2,V_Fa_2)!=$f7(V_i_2,V_Fa_2)|c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_Fa_2),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(V_i_2,V_Fa_2)),$f7(V_i_2,V_Fa_2))),hAPP($f9(V_i_2,V_Fa_2),V_i_2)))|c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),V_Fa_2),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(V_i_2,V_Fa_2)),$f7(V_i_2,V_Fa_2))),hAPP(V_Fa_2,$f9(V_i_2,V_Fa_2))))|c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2).
% 6.92/6.94 0 [] -c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,$f10(V_Fa_2,B_x,B_a,B_b))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x))).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),$f13(V_Fa_2)),c_Arrow__Order__Mirabelle_OProf)).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f12(V_Fa_2)),$f11(V_Fa_2))),hAPP($f13(V_Fa_2),B_i))).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f12(V_Fa_2)),$f11(V_Fa_2))),hAPP(V_Fa_2,$f13(V_Fa_2)))).
% 6.92/6.94 0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_xa),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,$f14(V_Fa_2,B_x,B_xa,B_a,B_b))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,$f14(V_Fa_2,B_x,B_xa,B_a,B_b))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_xa))).
% 6.92/6.94 0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_xa),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,$f14(V_Fa_2,B_x,B_xa,B_a,B_b))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,$f14(V_Fa_2,B_x,B_xa,B_a,B_b))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_xa))).
% 6.92/6.94 0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_xa),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,$f14(V_Fa_2,B_x,B_xa,B_a,B_b))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,$f14(V_Fa_2,B_x,B_xa,B_a,B_b))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_xa))).
% 6.92/6.94 0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_xa),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_x,$f14(V_Fa_2,B_x,B_xa,B_a,B_b))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,$f14(V_Fa_2,B_x,B_xa,B_a,B_b))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_xa))).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),$f18(V_Fa_2)),c_Arrow__Order__Mirabelle_OProf)).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),$f17(V_Fa_2)),c_Arrow__Order__Mirabelle_OProf)).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(V_Fa_2)),$f15(V_Fa_2))),hAPP($f18(V_Fa_2),B_i)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(V_Fa_2)),$f15(V_Fa_2))),hAPP($f17(V_Fa_2),B_i))).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(V_Fa_2)),$f15(V_Fa_2))),hAPP($f18(V_Fa_2),B_i)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(V_Fa_2)),$f15(V_Fa_2))),hAPP($f17(V_Fa_2),B_i))).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(V_Fa_2)),$f15(V_Fa_2))),hAPP(V_Fa_2,$f18(V_Fa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(V_Fa_2)),$f15(V_Fa_2))),hAPP(V_Fa_2,$f17(V_Fa_2)))).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(V_Fa_2)),$f15(V_Fa_2))),hAPP(V_Fa_2,$f18(V_Fa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(V_Fa_2)),$f15(V_Fa_2))),hAPP(V_Fa_2,$f17(V_Fa_2)))).
% 6.92/6.94 0 [] -c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B_x),c_Arrow__Order__Mirabelle_OProf))|hAPP(V_Fa_2,B_x)=hAPP(B_x,V_i_2).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),$f19(V_i_2,V_Fa_2)),c_Arrow__Order__Mirabelle_OProf)).
% 6.92/6.94 0 [] c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)|hAPP(V_Fa_2,$f19(V_i_2,V_Fa_2))!=hAPP($f19(V_i_2,V_Fa_2),V_i_2).
% 6.92/6.94 0 [] -c_FunDef_Oin__rel(T_a,T_b,V_R_2,V_x_2,V_y_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2)).
% 6.92/6.94 0 [] c_FunDef_Oin__rel(T_a,T_b,V_R_2,V_x_2,V_y_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f20(V_B_2,V_f_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$f20(V_B_2,V_f_2,T_b,V_A_2,T_a))),hAPP(V_B_2,$f20(V_B_2,V_f_2,T_b,V_A_2,T_a))))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(V_P_2,V_x_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omeasure(T_a,V_f_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omeasure(T_a,V_f_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f21(V_B_2,V_f_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$f21(V_B_2,V_f_2,T_b,V_A_2,T_a))),V_B_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))).
% 6.92/6.94 0 [] V_aa_2=V_ba_2|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$f22(V_ba_2,V_aa_2)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.94 0 [] V_aa_2=V_ba_2|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_aa_2),V_ba_2)),$f22(V_ba_2,V_aa_2))).
% 6.92/6.94 0 [] -c_Nitpick_Orefl_H(T_a,V_r_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)).
% 6.92/6.94 0 [] c_Nitpick_Orefl_H(T_a,V_r_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f23(V_r_2,T_a)),$f23(V_r_2,T_a))),V_r_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f24(V_B_2,V_f_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$f24(V_B_2,V_f_2,T_b,V_A_2,T_a))),hAPP(V_B_2,$f24(V_B_2,V_f_2,T_b,V_A_2,T_a))))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] -class_Nat_Osemiring__char__0(T_a)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)|V_m_2=V_n_2.
% 6.92/6.94 0 [] -class_Nat_Osemiring__char__0(T_a)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)|V_m_2!=V_n_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Osemiring__1(T_a)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_a_H_2)),V_r_2))|V_aa_2=V_a_H_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_a_H_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_b_H_2)),V_s_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_a_H_2)),V_r_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_aa_2),V_ba_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))|V_aa_2!=V_a_H_2| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_ba_2),V_b_H_2)),V_s_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)).
% 6.92/6.94 0 [] c_HOL_Obool_Obool__size(c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_HOL_Obool_Obool__size(c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f25(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a)),V_A_2))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f25(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] hAPP(V_f_2,$f25(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a))!=hAPP(V_g_2,$f25(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] hAPP(V_f_2,$f25(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a))!=hAPP(V_g_2,$f25(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_c)),V_g_2),c_FuncSet_OPi(T_b,T_c,V_B_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b,V_C_2))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,T_d)),V_ha_2),c_FuncSet_OPi(T_c,T_d,V_C_2,c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c,V_D_2))))|c_FuncSet_Ocompose(T_a,T_c,T_d,V_A_2,V_ha_2,c_FuncSet_Ocompose(T_a,T_b,T_c,V_A_2,V_g_2,V_f_2))=c_FuncSet_Ocompose(T_a,T_b,T_d,V_A_2,c_FuncSet_Ocompose(T_b,T_c,T_d,V_B_2,V_ha_2,V_g_2),V_f_2).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_c)),V_g_2),c_FuncSet_OPi(T_b,T_c,V_B_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b,V_C_2))))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_c)),c_FuncSet_Ocompose(T_a,T_b,T_c,V_A_2,V_g_2,V_f_2)),c_FuncSet_OPi(T_a,T_c,V_A_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a,V_C_2)))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_aa_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f26(V_r_2,V_aa_2,T_a)),V_aa_2)),V_r_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),$f26(V_r_2,V_aa_2,T_a)),c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)|V_m_2=V_n_2.
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)|V_m_2!=V_n_2.
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))|V_x=V_y|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hAPP(c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_g_2,V_f_2),V_x_2)=hAPP(V_g_2,hAPP(V_f_2,V_x_2)).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_ba_2),c_Wellfounded_Oacc(T_a,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_aa_2),V_ba_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_aa_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)).
% 6.92/6.94 0 [] c_Groups_Ozero__class_Ozero(tc_Int_Oint)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),$f27(V_k))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))|V_k=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f27(V_k)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a,c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a,c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a,c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a,c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f28(V_R_2,V_x_2,T_a)),V_x_2)),V_R_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),$f28(V_R_2,V_x_2,T_a)),c_Wellfounded_Oacc(T_a,V_R_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f29(V_r_2,V_x_2,T_a)),V_x_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),$f29(V_r_2,V_x_2,T_a)),c_Wellfounded_Oacc(T_a,V_r_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)).
% 6.92/6.94 0 [] -class_Int_Oring__char__0(T_a)|c_Int_Oring__1__class_Oof__int(T_a,V_w_2)!=c_Int_Oring__1__class_Oof__int(T_a,V_z_2)|V_w_2=V_z_2.
% 6.92/6.94 0 [] -class_Int_Oring__char__0(T_a)|c_Int_Oring__1__class_Oof__int(T_a,V_w_2)=c_Int_Oring__1__class_Oof__int(T_a,V_z_2)|V_w_2!=V_z_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))| -hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))|hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))|hBOOL(hAPP(hAPP(V_r_2,$f30(V_aa_2,V_r_2,T_a)),V_aa_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))| -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),$f30(V_aa_2,V_r_2,T_a))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))| -hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))|hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))|hBOOL(hAPP(hAPP(V_r_2,$f31(V_aa_2,V_r_2,T_a)),V_aa_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2))| -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),$f31(V_aa_2,V_r_2,T_a))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_ba_2))| -hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_ba_2))|hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_aa_2)).
% 6.92/6.94 0 [] c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n).
% 6.92/6.94 0 [] -class_Int_Oring__char__0(T_a)|c_Int_Oring__1__class_Oof__int(T_a,V_z_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_z_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.94 0 [] -class_Int_Oring__char__0(T_a)|c_Int_Oring__1__class_Oof__int(T_a,V_z_2)=c_Groups_Ozero__class_Ozero(T_a)|V_z_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.94 0 [] -class_Int_Oring__char__0(T_a)|c_Groups_Ozero__class_Ozero(T_a)!=c_Int_Oring__1__class_Oof__int(T_a,V_z_2)|V_z_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.94 0 [] -class_Int_Oring__char__0(T_a)|c_Groups_Ozero__class_Ozero(T_a)=c_Int_Oring__1__class_Oof__int(T_a,V_z_2)|V_z_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.94 0 [] -class_Rings_Oring__1(T_a)|c_Int_Oring__1__class_Oof__int(T_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Int_Oring__1__class_Oof__int(T_a,V_w_2)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Int_Oring__1__class_Oof__int(T_a,V_w_2)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)).
% 6.92/6.94 0 [] -class_Rings_Oring__1(T_a)|c_Int_Oring__1__class_Oof__int(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)|V_x_2=V_y_2.
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)|V_x_2!=V_y_2.
% 6.92/6.94 0 [] c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_COMBK(tc_HOL_Obool,tc_Nat_Onat,c_fTrue)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k),V_i)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k),V_j))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_f_2,V_g_2)),c_FuncSet_Oextensional(T_a,T_b,V_A_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))|V_i_2!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)|hBOOL(hAPP(V_P_2,B_n)).
% 6.92/6.94 0 [] -hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.94 0 [] hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))|V_i_2=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f32(V_i_2,V_P_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.94 0 [] hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))|V_i_2=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f32(V_i_2,V_P_2))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.94 0 [] hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))| -hBOOL(hAPP(V_P_2,$f32(V_i_2,V_P_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.94 0 [] hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))| -hBOOL(hAPP(V_P_2,$f32(V_i_2,V_P_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.94 0 [] c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Nat_Osize__class_Osize(tc_HOL_Obool,c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Nat_Osize__class_Osize(tc_HOL_Obool,c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] -class_Rings_Oring__1(T_a)|c_Int_Oring__1__class_Oof__int(T_a,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_w,V_z))=c_Groups_Otimes__class_Otimes(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_w),c_Int_Oring__1__class_Oof__int(T_a,V_z)).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z1,V_z2),V_z3)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z1,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z2,V_z3)).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z,V_w)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_w,V_z).
% 6.92/6.94 0 [] -class_Rings_Osemiring__1(T_a)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n))=c_Groups_Otimes__class_Otimes(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)).
% 6.92/6.94 0 [] hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=V_n.
% 6.92/6.94 0 [] hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_k,V_i)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_k,V_j))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__comm__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n),V_k)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n,V_k)).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n,V_m).
% 6.92/6.94 0 [] 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).
% 6.92/6.94 0 [] 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).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_n_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)|V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)|V_m_2!=V_n_2.
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)|V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)|V_m_2!=V_n_2.
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_n_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_i,V_k)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_j,V_k))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_i)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_j))).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n)).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_n))=c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_x,V_y)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)).
% 6.92/6.94 0 [] -class_Rings_Ono__zero__divisors(T_a)|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).
% 6.92/6.94 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)|c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)!=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_aa_2=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)|V_aa_2!=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)|V_ba_2!=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] -class_Rings_Omult__zero(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] -class_Rings_Omult__zero(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_a)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_c_2)),c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_c_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_c_2)),c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_c_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_c_2)),c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_c_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_c_2)),c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_c_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_c_2)),c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_c_2)),c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_c_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_b,V_a)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_a)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),c_Groups_Otimes__class_Otimes(T_a,V_c_2,V_ba_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),V_aa_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)|V_m_2=V_n_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)|V_m_2!=V_n_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2=V_n_2.
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)|V_m_2!=V_n_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))|c_FuncSet_Ocompose(T_a,T_a,T_b,V_A_2,V_g_2,c_FuncSet_Orestrict(T_a,T_a,c_COMBI(T_a),V_A_2))=V_g_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))|c_FuncSet_Ocompose(T_a,T_b,T_b,V_A_2,c_FuncSet_Orestrict(T_b,T_b,c_COMBI(T_b),V_B_2),V_f_2)=V_f_2.
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] c_FuncSet_Ocompose(T_a,T_c,T_b,V_A_2,V_g_2,V_f_2)=c_FuncSet_Orestrict(T_a,T_b,hAPP(c_COMBB(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2).
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)=c_Groups_Otimes__class_Otimes(T_a,V_b,V_a).
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,V_rx,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ry)).
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),V_ry).
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_rx)=c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_ly,V_rx)).
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_rx)=c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),V_ly).
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,V_lx,c_Groups_Otimes__class_Otimes(T_a,V_ly,c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))).
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,V_rx,c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),V_ry)).
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_ly),c_Groups_Otimes__class_Otimes(T_a,V_rx,V_ry))=c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_lx,V_rx),c_Groups_Otimes__class_Otimes(T_a,V_ly,V_ry)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_Oextensional(T_a,T_b,V_A_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))|c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)=V_f_2.
% 6.92/6.94 0 [] -class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f33(V_B_2,V_f_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$f33(V_B_2,V_f_2,T_b,V_A_2,T_a))),hAPP(V_B_2,$f33(V_B_2,V_f_2,T_b,V_A_2,T_a))))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f34(V_B_2,V_f_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$f34(V_B_2,V_f_2,T_b,V_A_2,T_a))),V_B_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))).
% 6.92/6.94 0 [] -class_Rings_Oring__1(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z))=c_Int_Oring__1__class_Oof__int(T_a,V_z).
% 6.92/6.94 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_Otimes__class_Otimes(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y))=hAPP(c_Int_Onat,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_x,V_y)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_w_2)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_w_2)),c_Int_Oring__1__class_Oof__int(T_a,V_z_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2),V_z_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semidom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w),V_w)).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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.
% 6.92/6.94 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))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))|V_z_2!=V_w_2.
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(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.
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.94 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)),c_Int_Oring__1__class_Oof__int(T_a,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)).
% 6.92/6.94 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)),c_Int_Oring__1__class_Oof__int(T_a,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)).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c))).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_b,V_a)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_aa_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_aa_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_aa_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_aa_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_aa_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_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_aa_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)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_aa_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_aa_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_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)).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_aa_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_aa_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_aa_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_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_aa_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))).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_aa_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_ba_2)).
% 6.92/6.94 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)),c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_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))).
% 6.92/6.94 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_Otimes__class_Otimes(T_a,V_a,V_a))).
% 6.92/6.94 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)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))).
% 6.92/6.94 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)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))).
% 6.92/6.94 0 [] -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,B_x))|hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f35(V_P_2)))).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f36(V_P_2)))| -hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))).
% 6.92/6.94 0 [] hBOOL(hAPP(V_P_2,$f36(V_P_2)))| -hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),X1))).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f37(V_P_2)))|hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))).
% 6.92/6.94 0 [] -hBOOL(hAPP(V_P_2,$f37(V_P_2)))|hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X2))|hBOOL(hAPP(V_P_2,X2))| -hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f38(V_P_2)))).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))|hAPP(c_Int_Onat,V_z_2)!=hAPP(c_Int_Onat,V_z_H_2)|V_z_2=V_z_H_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))|hAPP(c_Int_Onat,V_z_2)=hAPP(c_Int_Onat,V_z_H_2)|V_z_2!=V_z_H_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(V_P_2,B_x1))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f39(V_P_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(V_P_2,B_x1))|hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,$f39(V_P_2)))).
% 6.92/6.94 0 [] hBOOL(hAPP(V_P_2,$f40(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))).
% 6.92/6.94 0 [] -hBOOL(hAPP(V_P_2,$f41(V_P_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))|hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))).
% 6.92/6.94 0 [] hBOOL(hAPP(V_P_2,B_x1))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f42(V_P_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(V_P_2,B_x1))| -hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,$f42(V_P_2)))).
% 6.92/6.94 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.
% 6.92/6.94 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.
% 6.92/6.94 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_Otimes__class_Otimes(tc_Int_Oint,V_x,V_y))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),c_Groups_Otimes__class_Otimes(T_a,V_c,V_b)))| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)))| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_c,V_a)),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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_a),V_b))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(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))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))| -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Otimes__class_Otimes(T_a,V_a,V_c)),c_Groups_Otimes__class_Otimes(T_a,V_b,V_d))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(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_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),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_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(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_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),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_aa_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(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_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),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_aa_2),V_ba_2)).
% 6.92/6.94 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -hBOOL(hAPP(hAPP(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_Groups_Otimes__class_Otimes(T_a,V_c_2,V_aa_2)),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_aa_2),V_ba_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 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))).
% 6.92/6.94 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))).
% 6.92/6.94 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).
% 6.92/6.94 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_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z))=V_z.
% 6.92/6.94 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_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z))=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)!=V_z_2|V_m_2=hAPP(c_Int_Onat,V_z_2).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_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)).
% 6.92/6.94 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)=V_z_2|V_m_2!=hAPP(c_Int_Onat,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)).
% 6.92/6.94 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_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z))=V_z.
% 6.92/6.94 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(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)).
% 6.92/6.94 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(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)).
% 6.92/6.94 0 [] V_m_2!=hAPP(c_Int_Onat,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))|V_w_2=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2).
% 6.92/6.94 0 [] V_m_2!=hAPP(c_Int_Onat,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))|V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] V_m_2=hAPP(c_Int_Onat,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))|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] V_m_2=hAPP(c_Int_Onat,V_w_2)|V_w_2!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)).
% 6.92/6.94 0 [] V_m_2=hAPP(c_Int_Onat,V_w_2)|V_w_2!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hAPP(c_Int_Onat,V_w_2)!=V_m_2| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))|V_w_2=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2).
% 6.92/6.94 0 [] hAPP(c_Int_Onat,V_w_2)!=V_m_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))|V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hAPP(c_Int_Onat,V_w_2)=V_m_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hAPP(c_Int_Onat,V_w_2)=V_m_2|V_w_2!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)).
% 6.92/6.94 0 [] hAPP(c_Int_Onat,V_w_2)=V_m_2|V_w_2!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z,V_z_H))=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,hAPP(c_Int_Onat,V_z),hAPP(c_Int_Onat,V_z_H)).
% 6.92/6.94 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))).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R1_2),V_R2_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Oacc(T_a,V_R2_2)),c_Wellfounded_Oacc(T_a,V_R1_2))).
% 6.92/6.94 0 [] -class_Orderings_Oord(T_b)| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Oord(T_b)| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Oord(T_b)|hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_H_2),V_A_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)),c_FuncSet_OPi(T_a,T_b,V_A_H_2,V_B_2))).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_n)).
% 6.92/6.94 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)).
% 6.92/6.94 0 [] V_m!=V_n|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 6.92/6.94 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)).
% 6.92/6.94 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.
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_R1_2),V_R2_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Oaccp(T_a,V_R2_2)),c_Wellfounded_Oaccp(T_a,V_R1_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2),V_S_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2),V_S_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))|V_m_2!=V_n_2.
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))|V_m_2=V_n_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))|V_m_2=V_n_2.
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2))|V_m_2!=V_n_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n))|V_m=V_n|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] V_m!=V_n|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),V_n)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_m))).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_m)))).
% 6.92/6.94 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_Otimes__class_Otimes(tc_Nat_Onat,V_i,V_k)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_j,V_k))).
% 6.92/6.94 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_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_i)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_j))).
% 6.92/6.94 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_Otimes__class_Otimes(tc_Nat_Onat,V_i,V_k)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_j,V_l))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|V_A_2!=V_B_2.
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))|V_A_2=V_B_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|V_A_2=V_B_2.
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))|V_A_2!=V_B_2.
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_R_2),V_S_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_R_2),V_S_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x_2),V_y_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x_2),V_y_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_B_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(hAPP(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_m_2),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))| -hBOOL(hAPP(hAPP(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_m_2),V_n_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_m_2)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k_2,V_n_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.94 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))).
% 6.92/6.94 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,$f43(V_g_2,V_f_2,T_a,T_b))),hAPP(V_g_2,$f43(V_g_2,V_f_2,T_a,T_b)))).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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))).
% 6.92/6.94 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.
% 6.92/6.94 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.
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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.
% 6.92/6.94 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)).
% 6.92/6.94 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.
% 6.92/6.94 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)).
% 6.92/6.94 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))).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))|V_b!=V_c|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)).
% 6.92/6.94 0 [] -class_Orderings_Oord(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))|V_b!=V_c|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)|V_a!=V_b| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)).
% 6.92/6.94 0 [] -class_Orderings_Oord(T_a)|V_a!=V_b| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|V_y!=V_x.
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|V_x!=V_y.
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|V_x!=V_y.
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|V_x_2=V_y_2.
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|V_x_2!=V_y_2.
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))|V_x_2=V_y_2.
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|V_x_2!=V_y_2.
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|V_x_2=V_y_2|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|V_x_2!=V_y_2| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|V_x_2!=V_y_2| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 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)).
% 6.92/6.94 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)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|V_x_2!=V_y_2.
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(hAPP(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.
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)|hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|V_x_2=V_y_2.
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2)).
% 6.92/6.94 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.
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(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.
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)|hBOOL(hAPP(hAPP(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.
% 6.92/6.94 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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)).
% 6.92/6.94 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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y),V_x))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|V_x_2=V_y_2.
% 6.92/6.94 0 [] -class_Orderings_Olinorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2),V_y_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))|V_x_2!=V_y_2.
% 6.92/6.94 0 [] -class_Orderings_Oorder(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_x),V_y))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))|V_x=V_y.
% 6.92/6.94 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|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)).
% 6.92/6.94 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|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)).
% 6.92/6.94 0 [] -class_Orderings_Opreorder(T_a)| -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)).
% 6.92/6.94 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,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z,V_z_H))=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)),hAPP(c_Int_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z_H))).
% 6.92/6.94 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))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_aa_2),V_ba_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__less)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hAPP(V_f_2,V_x_2)=c_HOL_Oundefined(T_b).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2))|V_A_2=V_B_2.
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_A_2)).
% 6.92/6.94 0 [] V_A_2!=V_B_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2)).
% 6.92/6.94 0 [] V_A_2!=V_B_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)).
% 6.92/6.94 0 [] V_A_2=V_B_2| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(V_P_2,V_x_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2),V_Q_2))|hBOOL(hAPP(V_Q_2,V_x_2)).
% 6.92/6.94 0 [] V_A_2!=V_B_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2)).
% 6.92/6.94 0 [] V_A_2!=V_B_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2),V_Q_2))| -hBOOL(hAPP(V_P_2,V_x_2))|hBOOL(hAPP(V_Q_2,V_x_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))| -hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)).
% 6.92/6.94 0 [] V_A_2!=V_B_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2)).
% 6.92/6.94 0 [] V_A_2!=V_B_2|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))|hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)).
% 6.92/6.94 0 [] -class_Rings_Oidom(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_aa_2)!=c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_ba_2)|V_aa_2=V_ba_2|V_aa_2=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2).
% 6.92/6.94 0 [] -class_Rings_Oidom(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_aa_2)=c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_ba_2)|V_aa_2!=V_ba_2.
% 6.92/6.94 0 [] -class_Rings_Oidom(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_aa_2,V_aa_2)=c_Groups_Otimes__class_Otimes(T_a,V_ba_2,V_ba_2)|V_aa_2!=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2).
% 6.92/6.94 0 [] -class_Rings_Oring(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b))=c_Groups_Otimes__class_Otimes(T_a,V_a,V_b).
% 6.92/6.94 0 [] -class_Rings_Oring(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)=c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)).
% 6.92/6.94 0 [] -class_Rings_Oring(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))=c_Groups_Otimes__class_Otimes(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b).
% 6.92/6.94 0 [] -class_Rings_Oring(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))=c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)).
% 6.92/6.94 0 [] -class_Rings_Oring__1(T_a)|c_Int_Oring__1__class_Oof__int(T_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z))=c_Groups_Ouminus__class_Ouminus(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_z)).
% 6.92/6.94 0 [] c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z))=V_z.
% 6.92/6.94 0 [] c_Groups_Otimes__class_Otimes(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),V_w)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,V_z,V_w)).
% 6.92/6.94 0 [] c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Rings_Olinordered__idom(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)|V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__less)).
% 6.92/6.94 0 [] -class_Rings_Oring__1(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Int_Oring__1__class_Oof__int(T_a,V_k)=c_Groups_Ouminus__class_Ouminus(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_k)))).
% 6.92/6.94 0 [] -class_Rings_Oring__1(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Int_Oring__1__class_Oof__int(T_a,V_k)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))|V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.94 0 [] hAPP(c_Int_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2)=hAPP(V_f_2,V_x_2).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2)=c_HOL_Oundefined(T_b).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2)=hAPP(V_f_2,V_x_2).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hAPP(c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2),V_x_2)=c_HOL_Oundefined(T_b).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_aa_2),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_s_2),V_t_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__le_q)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_ba_2),V_t_2))),c_FunDef_Opair__le_q)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_B_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_B_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_B_2)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2))).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)).
% 6.92/6.94 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)).
% 6.92/6.94 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)).
% 6.92/6.94 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.94 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),c_Groups_Ozero__class_Ozero(T_a)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)).
% 6.92/6.94 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),c_Groups_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)).
% 6.92/6.94 0 [] c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2))=V_A_2.
% 6.92/6.94 0 [] c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)!=c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_B_2)|V_A_2=V_B_2.
% 6.92/6.94 0 [] c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_A_2)=c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool),V_B_2)|V_A_2!=V_B_2.
% 6.92/6.94 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).
% 6.92/6.94 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).
% 6.92/6.94 0 [] -class_Groups_Oab__semigroup__mult(T_a)|c_Groups_Otimes__class_Otimes(T_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b),V_c)=c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Otimes__class_Otimes(T_a,V_b,V_c)).
% 6.92/6.94 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)!=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)|V_aa_2=V_ba_2.
% 6.92/6.94 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)|V_aa_2!=V_ba_2.
% 6.92/6.94 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)!=V_ba_2|c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)=V_aa_2.
% 6.92/6.94 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)=V_ba_2|c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)!=V_aa_2.
% 6.92/6.94 0 [] -class_Groups_Ogroup__add(T_a)|V_aa_2!=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)|V_ba_2=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2).
% 6.92/6.94 0 [] -class_Groups_Ogroup__add(T_a)|V_aa_2=c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)|V_ba_2!=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2).
% 6.92/6.94 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a))=V_a.
% 6.92/6.94 0 [] -class_Groups_Oordered__ab__group__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_Ouminus__class_Ouminus(T_a,V_b)),c_Groups_Ouminus__class_Ouminus(T_a,V_a))).
% 6.92/6.94 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),V_ba_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),V_ba_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),V_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),V_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_ba_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)!=V_aa_2|V_aa_2=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)=V_aa_2|V_aa_2!=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_aa_2=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)=c_Groups_Ozero__class_Ozero(T_a)|V_aa_2!=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|V_aa_2!=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)|V_aa_2=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|V_aa_2=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)|V_aa_2!=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ozero__class_Ozero(T_a)!=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)|c_Groups_Ozero__class_Ozero(T_a)=V_aa_2.
% 6.92/6.95 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ozero__class_Ozero(T_a)=c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)|c_Groups_Ozero__class_Ozero(T_a)!=V_aa_2.
% 6.92/6.95 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),V_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_ba_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)),V_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_ba_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ba_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2))).
% 6.92/6.95 0 [] -class_Groups_Oordered__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_Ouminus__class_Ouminus(T_a,V_aa_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.95 0 [] -class_Groups_Oordered__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_Ouminus__class_Ouminus(T_a,V_aa_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_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_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_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_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_aa_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_aa_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_aa_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)),V_aa_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_aa_2)).
% 6.92/6.95 0 [] -class_Groups_Ouminus(T_a)|hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2)=c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2)).
% 6.92/6.95 0 [] -class_Groups_Ouminus(T_a)|hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2)=c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2)).
% 6.92/6.95 0 [] -class_Lattices_Oab__semigroup__idem__mult(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_a,V_a)=V_a.
% 6.92/6.95 0 [] -class_Lattices_Oab__semigroup__idem__mult(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_x,V_x)=V_x.
% 6.92/6.95 0 [] -class_Lattices_Oab__semigroup__idem__mult(T_a)|c_Groups_Otimes__class_Otimes(T_a,V_a,c_Groups_Otimes__class_Otimes(T_a,V_a,V_b))=c_Groups_Otimes__class_Otimes(T_a,V_a,V_b).
% 6.92/6.95 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x))=V_x.
% 6.92/6.95 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_x_2)!=c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)|V_x_2=V_y_2.
% 6.92/6.95 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,V_x_2)=c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)|V_x_2!=V_y_2.
% 6.92/6.95 0 [] -class_Lattices_Oboolean__algebra(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)).
% 6.92/6.95 0 [] -class_Lattices_Oboolean__algebra(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2)),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2),V_x_2)).
% 6.92/6.95 0 [] -class_Lattices_Oboolean__algebra(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,c_Groups_Ouminus__class_Ouminus(T_a,V_y)),c_Groups_Ouminus__class_Ouminus(T_a,V_x))).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2),V_y_2)=hAPP(V_f_2,V_y_2).
% 6.92/6.95 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2),V_y_2)=c_HOL_Oundefined(T_b).
% 6.92/6.95 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f44(V_C_2,V_B_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,V_C_2))).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),hAPP(V_B_2,$f44(V_C_2,V_B_2,T_b,V_A_2,T_a))),hAPP(V_C_2,$f44(V_C_2,V_B_2,T_b,V_A_2,T_a))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,V_C_2))).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_aa_2)),B_R))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),B_f),B_R),V_aa_2),V_x_2)=hAPP(B_f,V_x_2).
% 6.92/6.95 0 [] hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2)!=hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_g_2),V_r_2),V_x_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2))|hAPP(V_f_2,B_y)=hAPP(V_g_2,B_y).
% 6.92/6.95 0 [] hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2)=hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_g_2),V_r_2),V_x_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f45(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a)),V_x_2)),V_r_2)).
% 6.92/6.95 0 [] hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2)=hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_g_2),V_r_2),V_x_2)|hAPP(V_f_2,$f45(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a))!=hAPP(V_g_2,$f45(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_aa_2)),V_r_2))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_aa_2),V_x_2)=hAPP(V_f_2,V_x_2).
% 6.92/6.95 0 [] c_Recdef_Oadm__wf(T_a,T_b,V_R_2,hAPP(hAPP(c_COMBC(tc_fun(T_a,T_b),tc_fun(T_a,T_a),tc_fun(T_a,T_b)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_b)),tc_fun(T_a,T_b),c_COMBS(T_a,T_a,T_b)),hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(T_a,tc_fun(T_a,T_b)),tc_fun(T_a,T_b),c_COMBB(tc_fun(T_a,T_b),tc_fun(T_a,T_b),T_a,V_Fa_2)),hAPP(hAPP(c_COMBC(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_fun(T_a,T_b))),c_Recdef_Ocut(T_a,T_b)),V_R_2)))),c_COMBI(T_a))).
% 6.92/6.95 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)).
% 6.92/6.95 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_aa_2=V_ba_2.
% 6.92/6.95 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a)|V_aa_2!=V_ba_2.
% 6.92/6.95 0 [] -class_Groups_Oab__group__add(T_a)|V_aa_2!=V_ba_2|c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 0 [] -class_Groups_Oab__group__add(T_a)|V_aa_2=V_ba_2|c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)!=c_Groups_Ozero__class_Ozero(T_a).
% 6.92/6.95 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).
% 6.92/6.95 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.
% 6.92/6.95 0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|V_aa_2!=V_ba_2|V_c_2=V_d_2.
% 6.92/6.95 0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|V_aa_2=V_ba_2|V_c_2!=V_d_2.
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),V_d_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_aa_2),V_ba_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c_2),V_d_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_aa_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_aa_2),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),V_d_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_aa_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_aa_2),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2),V_d_2)).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),V_ba_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.95 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,V_aa_2),V_ba_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_ba_2)),c_Groups_Ozero__class_Ozero(T_a))).
% 6.92/6.95 0 [] c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_x,V_y)).
% 6.92/6.95 0 [] -class_Rings_Oring__1(T_a)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n))=c_Groups_Ominus__class_Ominus(T_a,hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)).
% 6.92/6.95 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)).
% 6.92/6.95 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))).
% 6.92/6.95 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))).
% 6.92/6.95 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.
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)!=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)|V_m_2=V_n_2.
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)|V_m_2!=V_n_2.
% 6.92/6.95 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).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))|hBOOL(hAPP(hAPP(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))).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n)),V_k)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(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_n_2,V_m_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.95 0 [] hBOOL(hAPP(hAPP(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_n_2,V_m_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_m)).
% 6.92/6.95 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).
% 6.92/6.95 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_n_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.95 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2),V_n_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_m_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2),V_n_2))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m_2,V_k_2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(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))).
% 6.92/6.95 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).
% 6.92/6.95 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m.
% 6.92/6.95 0 [] c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.95 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.
% 6.92/6.95 0 [] 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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_m,V_k),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_n,V_k)).
% 6.92/6.95 0 [] 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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_m),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,V_k,V_n)).
% 6.92/6.95 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).
% 6.92/6.95 0 [] -class_Rings_Oring__1(T_a)|c_Int_Oring__1__class_Oof__int(T_a,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_w,V_z))=c_Groups_Ominus__class_Ominus(T_a,c_Int_Oring__1__class_Oof__int(T_a,V_w),c_Int_Oring__1__class_Oof__int(T_a,V_z)).
% 6.92/6.95 0 [] -class_Groups_Ominus(T_a)|hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2)=c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)).
% 6.92/6.95 0 [] -class_Groups_Ominus(T_a)|hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2)=c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)).
% 6.92/6.95 0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))=c_Groups_Ominus__class_Ominus(T_a,V_b,V_a).
% 6.92/6.95 0 [] -class_Groups_Ogroup__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ouminus__class_Ouminus(T_a,V_a).
% 6.92/6.95 0 [] -c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f46(V_Fa_2,V_R_2,T_b,T_a,B_f,B_g,B_x)),B_x)),V_R_2))|hAPP(hAPP(V_Fa_2,B_f),B_x)=hAPP(hAPP(V_Fa_2,B_g),B_x).
% 6.92/6.95 0 [] -c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)|hAPP(B_f,$f46(V_Fa_2,V_R_2,T_b,T_a,B_f,B_g,B_x))!=hAPP(B_g,$f46(V_Fa_2,V_R_2,T_b,T_a,B_f,B_g,B_x))|hAPP(hAPP(V_Fa_2,B_f),B_x)=hAPP(hAPP(V_Fa_2,B_g),B_x).
% 6.92/6.95 0 [] c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),$f47(V_Fa_2,V_R_2,T_b,T_a))),V_R_2))|hAPP($f49(V_Fa_2,V_R_2,T_b,T_a),B_z)=hAPP($f48(V_Fa_2,V_R_2,T_b,T_a),B_z).
% 6.92/6.95 0 [] c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)|hAPP(hAPP(V_Fa_2,$f49(V_Fa_2,V_R_2,T_b,T_a)),$f47(V_Fa_2,V_R_2,T_b,T_a))!=hAPP(hAPP(V_Fa_2,$f48(V_Fa_2,V_R_2,T_b,T_a)),$f47(V_Fa_2,V_R_2,T_b,T_a)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))|hAPP(V_f_2,V_x_2)=c_HOL_Oundefined(T_b).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n),V_m))|c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)).
% 6.92/6.95 0 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)),V_A_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_D_2),V_B_2))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2))).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2),V_B_2))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))=V_A_2.
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)).
% 6.92/6.95 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2)).
% 6.92/6.95 0 [] -class_Lattices_Oboolean__algebra(T_1)|class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)).
% 6.92/6.95 0 [] -class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)).
% 6.92/6.95 0 [] -class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)).
% 6.92/6.95 0 [] -class_Orderings_Oord(T_1)|class_Orderings_Oord(tc_fun(T_2,T_1)).
% 6.92/6.95 0 [] -class_Groups_Ouminus(T_1)|class_Groups_Ouminus(tc_fun(T_2,T_1)).
% 6.92/6.95 0 [] -class_Groups_Ominus(T_1)|class_Groups_Ominus(tc_fun(T_2,T_1)).
% 6.92/6.95 0 [] class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Olinordered__semiring__strict(tc_Int_Oint).
% 6.92/6.95 0 [] class_Groups_Olinordered__ab__group__add(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Oordered__cancel__semiring(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Olinordered__ring__strict(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Oring__no__zero__divisors(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Oordered__comm__semiring(tc_Int_Oint).
% 6.92/6.95 0 [] class_Groups_Oordered__ab__group__add(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Olinordered__semiring(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Olinordered__semidom(tc_Int_Oint).
% 6.92/6.95 0 [] class_Groups_Oab__semigroup__mult(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Oordered__semiring(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Ono__zero__divisors(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Olinordered__ring(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Olinordered__idom(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Ocomm__semiring__1(tc_Int_Oint).
% 6.92/6.95 0 [] class_Nat_Osemiring__char__0(tc_Int_Oint).
% 6.92/6.95 0 [] class_Groups_Oab__group__add(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Oordered__ring(tc_Int_Oint).
% 6.92/6.95 0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 6.92/6.95 0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Osemiring__1(tc_Int_Oint).
% 6.92/6.95 0 [] class_Groups_Ogroup__add(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Omult__zero(tc_Int_Oint).
% 6.92/6.95 0 [] class_Orderings_Oorder(tc_Int_Oint).
% 6.92/6.95 0 [] class_Int_Oring__char__0(tc_Int_Oint).
% 6.92/6.95 0 [] class_Orderings_Oord(tc_Int_Oint).
% 6.92/6.95 0 [] class_Groups_Ouminus(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Oring__1(tc_Int_Oint).
% 6.92/6.95 0 [] class_Groups_Ominus(tc_Int_Oint).
% 6.92/6.95 0 [] class_Groups_Ozero(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Oring(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Oidom(tc_Int_Oint).
% 6.92/6.95 0 [] class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Olinordered__semiring__strict(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Oordered__cancel__semiring(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Oordered__comm__semiring(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Olinordered__semiring(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Olinordered__semidom(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Groups_Oab__semigroup__mult(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Oordered__semiring(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Ono__zero__divisors(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Ocomm__semiring__1(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Nat_Osemiring__char__0(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Orderings_Opreorder(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Orderings_Olinorder(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Osemiring__1(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Rings_Omult__zero(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Orderings_Oorder(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Orderings_Oord(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Groups_Ominus(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Groups_Ozero(tc_Nat_Onat).
% 6.92/6.95 0 [] class_Lattices_Oboolean__algebra(tc_HOL_Obool).
% 6.92/6.95 0 [] class_Orderings_Opreorder(tc_HOL_Obool).
% 6.92/6.95 0 [] class_Orderings_Oorder(tc_HOL_Obool).
% 6.92/6.95 0 [] class_Orderings_Oord(tc_HOL_Obool).
% 6.92/6.95 0 [] class_Groups_Ouminus(tc_HOL_Obool).
% 6.92/6.95 0 [] class_Groups_Ominus(tc_HOL_Obool).
% 6.92/6.95 0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 6.92/6.95 0 [] hAPP(c_COMBK(T_a,T_b,V_P),V_Q)=V_P.
% 6.92/6.95 0 [] hAPP(hAPP(c_COMBB(T_b,T_a,T_c,V_P_2),V_Q_2),V_R_2)=hAPP(V_P_2,hAPP(V_Q_2,V_R_2)).
% 6.92/6.95 0 [] hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2)=hAPP(hAPP(V_P_2,V_R_2),V_Q_2).
% 6.92/6.95 0 [] hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2)=hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)).
% 6.92/6.95 0 [] -hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2.
% 6.92/6.95 0 [] V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2)).
% 6.92/6.95 0 [] -hBOOL(c_fFalse).
% 6.92/6.95 0 [] hBOOL(c_fTrue).
% 6.92/6.95 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),v_Lab____)),v_Lba____)))).
% 6.92/6.95 end_of_list.
% 6.92/6.95
% 6.92/6.95 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 6.92/6.95
% 6.92/6.95 This ia a non-Horn set with equality. The strategy will be
% 6.92/6.95 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 6.92/6.95 deletion, with positive clauses in sos and nonpositive
% 6.92/6.95 clauses in usable.
% 6.92/6.95
% 6.92/6.95 dependent: set(knuth_bendix).
% 6.92/6.95 dependent: set(anl_eq).
% 6.92/6.95 dependent: set(para_from).
% 6.92/6.95 dependent: set(para_into).
% 6.92/6.95 dependent: clear(para_from_right).
% 6.92/6.95 dependent: clear(para_into_right).
% 6.92/6.95 dependent: set(para_from_vars).
% 6.92/6.95 dependent: set(eq_units_both_ways).
% 6.92/6.95 dependent: set(dynamic_demod_all).
% 6.92/6.95 dependent: set(dynamic_demod).
% 6.92/6.95 dependent: set(order_eq).
% 6.92/6.95 dependent: set(back_demod).
% 6.92/6.95 dependent: set(lrpo).
% 6.92/6.95 dependent: set(hyper_res).
% 6.92/6.95 dependent: set(unit_deletion).
% 6.92/6.95 dependent: set(factor).
% 6.92/6.95
% 6.92/6.95 ------------> process usable:
% 6.92/6.95 ** KEPT (pick-wt=14): 1 [] hAPP(A,$f1(B,A))!=hAPP(B,$f1(B,A))|A=B.
% 6.92/6.95 ** KEPT (pick-wt=3): 3 [copy,2,flip.1] v_b____!=v_a____.
% 6.92/6.95 ** KEPT (pick-wt=15): 4 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 6.92/6.95 ** KEPT (pick-wt=15): 5 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lab____)).
% 6.92/6.95 ** KEPT (pick-wt=8): 6 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.95 ** KEPT (pick-wt=17): 7 [] A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 6.92/6.95 ** KEPT (pick-wt=17): 8 [] A!=B|hBOOL(hAPP(hAPP(c_member(C),D),B))| -hBOOL(hAPP(hAPP(c_member(C),D),A)).
% 6.92/6.95 ** KEPT (pick-wt=160): 9 [] hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(B,tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A,c_COMBC(B,tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(B,tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),A,c_COMBB(tc_prod(A,B),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool),B,c_member(tc_prod(A,B)))),c_Product__Type_OPair(A,B)))),C)!=hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(B,tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A,c_COMBC(B,tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(B,tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),A,c_COMBB(tc_prod(A,B),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool),B,c_member(tc_prod(A,B)))),c_Product__Type_OPair(A,B)))),D)|C=D.
% 6.92/6.95 ** KEPT (pick-wt=160): 10 [] hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(B,tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A,c_COMBC(B,tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(B,tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),A,c_COMBB(tc_prod(A,B),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool),B,c_member(tc_prod(A,B)))),c_Product__Type_OPair(A,B)))),C)=hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(B,tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_fun(B,tc_HOL_Obool)),A,c_COMBC(B,tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(B,tc_prod(A,B)),tc_fun(B,tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool)),A,c_COMBB(tc_prod(A,B),tc_fun(tc_fun(tc_prod(A,B),tc_HOL_Obool),tc_HOL_Obool),B,c_member(tc_prod(A,B)))),c_Product__Type_OPair(A,B)))),D)|C!=D.
% 6.92/6.95 ** KEPT (pick-wt=20): 11 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omkbot(C,D)))|B!=D.
% 6.92/6.95 ** KEPT (pick-wt=23): 12 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omkbot(C,D)))|A!=D|A!=B.
% 6.92/6.95 ** KEPT (pick-wt=35): 13 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omkbot(C,D)))|A=D|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),C)).
% 6.92/6.95 ** KEPT (pick-wt=38): 14 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omkbot(C,D)))|B=D|A=D| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),C)).
% 6.92/6.95 ** KEPT (pick-wt=26): 15 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omkbot(C,D)))|B=D|A=B|A!=D.
% 6.92/6.95 ** KEPT (pick-wt=38): 16 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omkbot(C,D)))|B=D|A=B| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),C)).
% 6.92/6.95 ** KEPT (pick-wt=20): 17 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omktop(C,D)))|A!=D.
% 6.92/6.95 ** KEPT (pick-wt=23): 18 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omktop(C,D)))|B!=D|A!=B.
% 6.92/6.95 ** KEPT (pick-wt=35): 19 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omktop(C,D)))|B=D|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),C)).
% 6.92/6.95 ** KEPT (pick-wt=38): 20 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omktop(C,D)))|A=D|B=D| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),C)).
% 6.92/6.95 ** KEPT (pick-wt=26): 21 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omktop(C,D)))|A=D|A=B|B!=D.
% 6.92/6.95 ** KEPT (pick-wt=38): 22 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),c_Arrow__Order__Mirabelle_Omktop(C,D)))|A=D|A=B| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),C)).
% 6.92/6.95 Following clause subsumed by 6 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.95 ** KEPT (pick-wt=12): 23 [] A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 6.92/6.95 Following clause subsumed by 6 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.95 ** KEPT (pick-wt=31): 24 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),A),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,A)),c_Arrow__Order__Mirabelle_OProf)).
% 6.92/6.95 ** KEPT (pick-wt=24): 25 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),A),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omkbot(A,B)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.95 ** KEPT (pick-wt=24): 26 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),A),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Omktop(A,B)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.95 ** KEPT (pick-wt=41): 27 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),A),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),A))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),B)),A)).
% 6.92/6.95 ** KEPT (pick-wt=44): 28 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),A),c_Arrow__Order__Mirabelle_OLin))|B=C|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),A))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),B)),A)).
% 6.92/6.95 Following clause subsumed by 27 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),A),c_Arrow__Order__Mirabelle_OLin))|B=C| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),A))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),B)),A)).
% 6.92/6.95 ** KEPT (pick-wt=17): 29 [] A!=B| -hBOOL(hAPP(hAPP(c_member(C),B),D))|hBOOL(hAPP(hAPP(c_member(C),A),D)).
% 6.92/6.95 ** KEPT (pick-wt=17): 30 [] A!=B| -hBOOL(hAPP(hAPP(c_member(C),A),D))|hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 6.92/6.95 Following clause subsumed by 29 during input processing: 0 [] A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 6.92/6.95 Following clause subsumed by 8 during input processing: 0 [] A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 6.92/6.95 Following clause subsumed by 7 during input processing: 0 [] A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 6.92/6.95 ** KEPT (pick-wt=11): 31 [] -hBOOL(hAPP(hAPP(c_member(A),B),c_fe_qual(C)))|B=C.
% 6.92/6.95 ** KEPT (pick-wt=11): 32 [] hBOOL(hAPP(hAPP(c_member(A),B),c_fe_qual(C)))|B!=C.
% 6.92/6.95 ** KEPT (pick-wt=11): 33 [] -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(C,B)).
% 6.92/6.95 ** KEPT (pick-wt=11): 34 [] hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(C,B)).
% 6.92/6.95 ** KEPT (pick-wt=10): 35 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 6.92/6.95 ** KEPT (pick-wt=10): 36 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|B!=A.
% 6.92/6.95 ** KEPT (pick-wt=7): 37 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 6.92/6.95 Following clause subsumed by 35 during input processing: 0 [] A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 6.92/6.95 Following clause subsumed by 36 during input processing: 0 [] A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 6.92/6.95 Following clause subsumed by 37 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 6.92/6.95 ** KEPT (pick-wt=26): 38 [] hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_member(A)),B)!=hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_member(A)),C)|B=C.
% 6.92/6.95 ** KEPT (pick-wt=26): 39 [] hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_member(A)),B)=hAPP(hAPP(c_COMBC(A,tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_member(A)),C)|B!=C.
% 6.92/6.95 ** KEPT (pick-wt=11): 40 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.95 ** KEPT (pick-wt=105): 41 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),D),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(C,$f2(D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),A)),hAPP(D,$f2(D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,C)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),A)),hAPP(v_F,D))).
% 6.92/6.95 ** KEPT (pick-wt=105): 42 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),D),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(C,$f2(D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),A)),hAPP(D,$f2(D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),A)),hAPP(v_F,D))).
% 6.92/6.95 ** KEPT (pick-wt=105): 43 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),D),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(C,$f2(D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),A)),hAPP(D,$f2(D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,C)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),A)),hAPP(v_F,D))).
% 6.92/6.95 ** KEPT (pick-wt=105): 44 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),D),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(C,$f2(D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),A)),hAPP(D,$f2(D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),A)),hAPP(v_F,D))).
% 6.92/6.95 ** KEPT (pick-wt=112): 45 [] A=B|C=D| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f3(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f3(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.95 ** KEPT (pick-wt=112): 46 [] A=B|C=D| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f3(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f3(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.95 ** KEPT (pick-wt=112): 47 [] A=B|C=D| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f3(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f3(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.95 ** KEPT (pick-wt=112): 48 [] A=B|C=D| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f3(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f3(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.95 ** KEPT (pick-wt=113): 49 [] A=B|B=C|A=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),D),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(D,$f4(E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),hAPP(E,$f4(E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,D)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),hAPP(v_F,E))).
% 6.92/6.95 ** KEPT (pick-wt=113): 50 [] A=B|B=C|A=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),D),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(D,$f4(E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),hAPP(E,$f4(E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,D)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),hAPP(v_F,E))).
% 6.92/6.95 ** KEPT (pick-wt=113): 51 [] A=B|B=C|A=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),D),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(D,$f4(E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),hAPP(E,$f4(E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,D)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),hAPP(v_F,E))).
% 6.92/6.95 ** KEPT (pick-wt=113): 52 [] A=B|B=C|A=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),D),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(D,$f4(E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),hAPP(E,$f4(E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,D)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),C)),hAPP(v_F,E))).
% 6.92/6.96 ** KEPT (pick-wt=118): 53 [] A=B|C=D|A=D|B=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f5(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f5(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.96 ** KEPT (pick-wt=118): 54 [] A=B|C=D|A=D|B=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f5(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f5(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.96 ** KEPT (pick-wt=118): 55 [] A=B|C=D|A=D|B=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f6(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f6(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.96 ** KEPT (pick-wt=118): 56 [] A=B|C=D|A=D|B=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f6(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f6(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.96 ** KEPT (pick-wt=118): 57 [] A=B|C=D|A=D|B=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f6(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f6(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.96 ** KEPT (pick-wt=118): 58 [] A=B|C=D|A=D|B=C| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),E),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),F),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(E,$f6(F,E,D,C,B,A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(F,$f6(F,E,D,C,B,A))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),B)),hAPP(v_F,E)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(v_F,F))).
% 6.92/6.96 ** KEPT (pick-wt=35): 59 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D!=E.
% 6.92/6.96 ** KEPT (pick-wt=50): 60 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|E!=A|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),B)),C)).
% 6.92/6.96 ** KEPT (pick-wt=56): 61 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|E=A|D!=A|E=B|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=53): 62 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|E=A|D=A|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=56): 63 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E|E=A|D=A| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=44): 64 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E|E=A|E!=B|D!=A.
% 6.92/6.96 ** KEPT (pick-wt=56): 65 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E|E=A|E!=B| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=56): 66 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E|E=A| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),E)),C))|D!=A.
% 6.92/6.96 ** KEPT (pick-wt=68): 67 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E|E=A| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),E)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=53): 68 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),B)),C))|E!=A.
% 6.92/6.96 ** KEPT (pick-wt=68): 69 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),B)),C))|D=A| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=56): 70 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),B)),C))|E!=B|D!=A.
% 6.92/6.96 ** KEPT (pick-wt=68): 71 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),B)),C))|E!=B| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=68): 72 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),B)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),E)),C))|D!=A.
% 6.92/6.96 ** KEPT (pick-wt=80): 73 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),B)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B),E)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=35): 74 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D!=E.
% 6.92/6.96 ** KEPT (pick-wt=50): 75 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D!=B|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=56): 76 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=B|E!=B|D=A|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),A)),C)).
% 6.92/6.96 ** KEPT (pick-wt=53): 77 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=B|E=B|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=56): 78 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E|D=B|E=B| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=44): 79 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E|D=B|D!=A|E!=B.
% 6.92/6.96 ** KEPT (pick-wt=56): 80 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E|D=B|D!=A| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=56): 81 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E|D=B| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),A)),C))|E!=B.
% 6.92/6.96 ** KEPT (pick-wt=68): 82 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E|D=B| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),A)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=53): 83 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),E)),C))|D!=B.
% 6.92/6.96 ** KEPT (pick-wt=68): 84 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),E)),C))|E=B| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=56): 85 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),E)),C))|D!=A|E!=B.
% 6.92/6.96 ** KEPT (pick-wt=68): 86 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),E)),C))|D!=A| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=68): 87 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),E)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),A)),C))|E!=B.
% 6.92/6.96 ** KEPT (pick-wt=80): 88 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)))|D=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),E)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),A)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=28): 89 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Oabove(C,A,B)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.96 ** KEPT (pick-wt=28): 90 [] A=B| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C),c_Arrow__Order__Mirabelle_OLin))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_Obelow(C,A,B)),c_Arrow__Order__Mirabelle_OLin)).
% 6.92/6.96 ** KEPT (pick-wt=31): 91 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,E)))|hBOOL(hAPP(hAPP(c_member(B),hAPP(C,F)),hAPP(E,F)))| -hBOOL(hAPP(hAPP(c_member(A),F),D)).
% 6.92/6.96 ** KEPT (pick-wt=34): 92 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,c_COMBK(tc_fun(B,tc_HOL_Obool),A,E))))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hBOOL(hAPP(hAPP(c_member(B),hAPP(C,F)),E)).
% 6.92/6.96 Following clause subsumed by 91 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,E)))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hBOOL(hAPP(hAPP(c_member(B),hAPP(C,F)),hAPP(E,F))).
% 6.92/6.96 ** KEPT (pick-wt=66): 93 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),A),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),$f9(B,A)),c_Arrow__Order__Mirabelle_OProf))|c_Arrow__Order__Mirabelle_Odictator(A,B).
% 6.92/6.96 ** KEPT (pick-wt=58): 94 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),A),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))|$f8(B,A)!=$f7(B,A)|c_Arrow__Order__Mirabelle_Odictator(A,B).
% 6.92/6.96 ** KEPT (pick-wt=74): 95 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),A),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(B,A)),$f7(B,A))),hAPP($f9(B,A),B)))|c_Arrow__Order__Mirabelle_Odictator(A,B).
% 6.92/6.96 ** KEPT (pick-wt=74): 96 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),A),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(B,A)),$f7(B,A))),hAPP(A,$f9(B,A))))|c_Arrow__Order__Mirabelle_Odictator(A,B).
% 6.92/6.96 ** KEPT (pick-wt=53): 97 [] -c_Arrow__Order__Mirabelle_Ounanimity(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(B,$f10(A,B,C,D))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(A,B))).
% 6.92/6.96 ** KEPT (pick-wt=22): 98 [] c_Arrow__Order__Mirabelle_Ounanimity(A)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f12(A)),$f11(A))),hAPP(A,$f13(A)))).
% 6.92/6.96 ** KEPT (pick-wt=106): 99 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(B,$f14(A,B,C,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(C,$f14(A,B,C,D,E))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,B)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,C))).
% 6.92/6.96 ** KEPT (pick-wt=106): 100 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(B,$f14(A,B,C,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(C,$f14(A,B,C,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,B)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,C))).
% 6.92/6.96 ** KEPT (pick-wt=106): 101 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(B,$f14(A,B,C,D,E))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(C,$f14(A,B,C,D,E))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,B)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,C))).
% 6.92/6.96 ** KEPT (pick-wt=106): 102 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(B,$f14(A,B,C,D,E))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(C,$f14(A,B,C,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,B)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,C))).
% 6.92/6.96 ** KEPT (pick-wt=42): 103 [] c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(A)),$f15(A))),hAPP($f18(A),B)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(A)),$f15(A))),hAPP($f17(A),B))).
% 6.92/6.96 ** KEPT (pick-wt=42): 104 [] c_Arrow__Order__Mirabelle_OIIA(A)|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(A)),$f15(A))),hAPP($f18(A),B)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(A)),$f15(A))),hAPP($f17(A),B))).
% 6.92/6.96 ** KEPT (pick-wt=42): 105 [] c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(A)),$f15(A))),hAPP(A,$f18(A))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f16(A)),$f15(A))),hAPP(A,$f17(A)))).
% 6.92/6.96 ** KEPT (pick-wt=23): 106 [] -c_Arrow__Order__Mirabelle_Odictator(A,B)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))|hAPP(A,C)=hAPP(C,B).
% 6.92/6.96 ** KEPT (pick-wt=14): 108 [copy,107,flip.2] c_Arrow__Order__Mirabelle_Odictator(A,B)|hAPP($f19(B,A),B)!=hAPP(A,$f19(B,A)).
% 6.92/6.96 ** KEPT (pick-wt=21): 109 [] -c_FunDef_Oin__rel(A,B,C,D,E)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=21): 110 [] c_FunDef_Oin__rel(A,B,C,D,E)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),C)).
% 6.92/6.96 ** KEPT (pick-wt=34): 111 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f20(C,B,A,D,E))),hAPP(C,$f20(C,B,A,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),B),c_FuncSet_OPi(E,A,D,C))).
% 6.92/6.96 ** KEPT (pick-wt=60): 112 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_member(tc_prod(C,C)),hAPP(hAPP(c_Product__Type_OPair(C,C),D),E)),hAPP(F,B)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(G,C),tc_prod(G,C))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(G,C),tc_prod(G,C)),hAPP(hAPP(c_Product__Type_OPair(G,C),B),D)),hAPP(hAPP(c_Product__Type_OPair(G,C),B),E))),c_Recdef_Osame__fst(G,C,A,F))).
% 6.92/6.96 ** KEPT (pick-wt=28): 113 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Wellfounded_Omeasure(A,D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(D,B)),hAPP(D,C))).
% 6.92/6.96 ** KEPT (pick-wt=28): 114 [] hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Wellfounded_Omeasure(A,D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(D,B)),hAPP(D,C))).
% 6.92/6.96 ** KEPT (pick-wt=32): 115 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f21(C,B,A,D,E))),C))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),B),c_FuncSet_OPi(E,A,D,c_COMBK(tc_fun(A,tc_HOL_Obool),E,C)))).
% 6.92/6.96 ** KEPT (pick-wt=18): 116 [] -c_Nitpick_Orefl_H(A,B)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),C)),B)).
% 6.92/6.96 ** KEPT (pick-wt=22): 117 [] c_Nitpick_Orefl_H(A,B)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),$f23(B,A)),$f23(B,A))),B)).
% 6.92/6.96 ** KEPT (pick-wt=29): 118 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(A,B)),hAPP(A,C)))|hBOOL(hAPP(hAPP(c_member(tc_prod(D,D)),hAPP(hAPP(c_Product__Type_OPair(D,D),B),C)),c_Wellfounded_Omlex__prod(D,A,E))).
% 6.92/6.96 ** KEPT (pick-wt=21): 119 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 6.92/6.96 ** KEPT (pick-wt=21): 120 [] -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 6.92/6.97 ** KEPT (pick-wt=34): 121 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f24(C,B,A,D,E))),hAPP(C,$f24(C,B,A,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),B),c_FuncSet_OPi(E,A,D,C))).
% 6.92/6.97 ** KEPT (pick-wt=14): 122 [] -class_Nat_Osemiring__char__0(A)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)|B=C.
% 6.92/6.97 ** KEPT (pick-wt=14): 123 [] -class_Nat_Osemiring__char__0(A)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)|B!=C.
% 6.92/6.97 ** KEPT (pick-wt=23): 124 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 6.92/6.97 ** KEPT (pick-wt=13): 125 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=10): 126 [] -class_Rings_Osemiring__1(A)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=22): 127 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 6.92/6.97 ** KEPT (pick-wt=22): 128 [] -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 6.92/6.97 Following clause subsumed by 128 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C))).
% 6.92/6.97 Following clause subsumed by 127 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 6.92/6.97 ** KEPT (pick-wt=57): 129 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(A,B),tc_prod(A,B))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))),c_Wellfounded_Olex__prod(A,B,G,H)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),E)),G))|C=E.
% 6.92/6.97 ** KEPT (pick-wt=69): 130 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(A,B),tc_prod(A,B))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))),c_Wellfounded_Olex__prod(A,B,G,H)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),E)),G))|hBOOL(hAPP(hAPP(c_member(tc_prod(B,B)),hAPP(hAPP(c_Product__Type_OPair(B,B),D),F)),H)).
% 6.92/6.97 ** KEPT (pick-wt=54): 131 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(A,B),tc_prod(A,B))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))),c_Wellfounded_Olex__prod(A,B,G,H)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),E)),G)).
% 6.92/6.97 ** KEPT (pick-wt=57): 132 [] hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(A,B),tc_prod(A,B))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))),c_Wellfounded_Olex__prod(A,B,G,H)))|C!=E| -hBOOL(hAPP(hAPP(c_member(tc_prod(B,B)),hAPP(hAPP(c_Product__Type_OPair(B,B),D),F)),H)).
% 6.92/6.97 ** KEPT (pick-wt=19): 133 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 6.92/6.97 ** KEPT (pick-wt=19): 134 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 6.92/6.97 ** KEPT (pick-wt=39): 135 [] hBOOL(hAPP(hAPP(c_member(A),$f25(B,C,D,E,F,A)),F))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,C)),E),c_FuncSet_OPi(A,C,F,B)))|hBOOL(hAPP(hAPP(c_member(tc_fun(A,C)),D),c_FuncSet_OPi(A,C,F,B))).
% 6.92/6.97 ** KEPT (pick-wt=39): 136 [] hBOOL(hAPP(hAPP(c_member(A),$f25(B,C,D,E,F,A)),F))|hBOOL(hAPP(hAPP(c_member(tc_fun(A,C)),E),c_FuncSet_OPi(A,C,F,B)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,C)),D),c_FuncSet_OPi(A,C,F,B))).
% 6.92/6.97 ** KEPT (pick-wt=45): 137 [] hAPP(A,$f25(B,C,D,A,E,F))!=hAPP(D,$f25(B,C,D,A,E,F))| -hBOOL(hAPP(hAPP(c_member(tc_fun(F,C)),A),c_FuncSet_OPi(F,C,E,B)))|hBOOL(hAPP(hAPP(c_member(tc_fun(F,C)),D),c_FuncSet_OPi(F,C,E,B))).
% 6.92/6.97 ** KEPT (pick-wt=45): 138 [] hAPP(A,$f25(B,C,D,A,E,F))!=hAPP(D,$f25(B,C,D,A,E,F))|hBOOL(hAPP(hAPP(c_member(tc_fun(F,C)),A),c_FuncSet_OPi(F,C,E,B)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(F,C)),D),c_FuncSet_OPi(F,C,E,B))).
% 6.92/6.97 ** KEPT (pick-wt=81): 139 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,c_COMBK(tc_fun(B,tc_HOL_Obool),A,E))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(B,F)),G),c_FuncSet_OPi(B,F,E,c_COMBK(tc_fun(F,tc_HOL_Obool),B,H))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(F,I)),J),c_FuncSet_OPi(F,I,H,c_COMBK(tc_fun(I,tc_HOL_Obool),F,K))))|c_FuncSet_Ocompose(A,F,I,D,J,c_FuncSet_Ocompose(A,B,F,D,G,C))=c_FuncSet_Ocompose(A,B,I,D,c_FuncSet_Ocompose(B,F,I,E,J,G),C).
% 6.92/6.97 ** KEPT (pick-wt=60): 140 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,c_COMBK(tc_fun(B,tc_HOL_Obool),A,E))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(B,F)),G),c_FuncSet_OPi(B,F,E,c_COMBK(tc_fun(F,tc_HOL_Obool),B,H))))|hBOOL(hAPP(hAPP(c_member(tc_fun(A,F)),c_FuncSet_Ocompose(A,B,F,D,G,C)),c_FuncSet_OPi(A,F,D,c_COMBK(tc_fun(F,tc_HOL_Obool),A,H)))).
% 6.92/6.97 ** KEPT (pick-wt=33): 141 [] -hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),B)),C))|hBOOL(hAPP(hAPP(c_member(A),D),c_Wellfounded_Oacc(A,C))).
% 6.92/6.97 ** KEPT (pick-wt=21): 142 [] hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(A),$f26(C,B,A)),c_Wellfounded_Oacc(A,C))).
% 6.92/6.97 ** KEPT (pick-wt=27): 143 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),C),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),D)).
% 6.92/6.97 ** KEPT (pick-wt=12): 144 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A=B.
% 6.92/6.97 ** KEPT (pick-wt=12): 145 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A!=B.
% 6.92/6.97 ** KEPT (pick-wt=11): 146 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.97 ** KEPT (pick-wt=22): 147 [] -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_FuncSet_Ocompose(A,D,E,C,F,G),B)=hAPP(F,hAPP(G,B)).
% 6.92/6.97 ** KEPT (pick-wt=11): 148 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.97 ** KEPT (pick-wt=11): 149 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.97 ** KEPT (pick-wt=20): 150 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 6.92/6.97 ** KEPT (pick-wt=20): 151 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 6.92/6.97 Following clause subsumed by 141 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),B)),C))|hBOOL(hAPP(hAPP(c_member(A),D),c_Wellfounded_Oacc(A,C))).
% 6.92/6.97 Following clause subsumed by 150 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 6.92/6.97 Following clause subsumed by 151 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 6.92/6.97 ** KEPT (pick-wt=17): 152 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),$f27(A))).
% 6.92/6.97 ** KEPT (pick-wt=15): 154 [copy,153,flip.2] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f27(A))=A.
% 6.92/6.97 ** KEPT (pick-wt=92): 155 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(A,hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(A,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),A,c_COMBC(A,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),A,c_COMBB(tc_prod(A,A),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool),A,c_member(tc_prod(A,A)))),c_Product__Type_OPair(A,A)))),B)),C))|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 6.92/6.97 ** KEPT (pick-wt=92): 156 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(A,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),A,c_COMBC(A,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),A,c_COMBB(tc_prod(A,A),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool),A,c_member(tc_prod(A,A)))),c_Product__Type_OPair(A,A)))),B)),C))| -hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 6.92/6.97 ** KEPT (pick-wt=21): 157 [] hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(A),$f28(C,B,A)),c_Wellfounded_Oacc(A,C))).
% 6.92/6.97 ** KEPT (pick-wt=21): 158 [] -hBOOL(hAPP(hAPP(c_member(A),$f29(B,C,A)),c_Wellfounded_Oacc(A,B)))|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 6.92/6.97 ** KEPT (pick-wt=20): 159 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Int_Oring__1__class_Oof__int(A,B)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.97 ** KEPT (pick-wt=20): 160 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Int_Oring__1__class_Oof__int(A,B)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.97 ** KEPT (pick-wt=20): 161 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),c_Int_Oring__1__class_Oof__int(A,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 6.92/6.97 ** KEPT (pick-wt=20): 162 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),c_Int_Oring__1__class_Oof__int(A,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 6.92/6.97 ** KEPT (pick-wt=12): 163 [] -class_Int_Oring__char__0(A)|c_Int_Oring__1__class_Oof__int(A,B)!=c_Int_Oring__1__class_Oof__int(A,C)|B=C.
% 6.92/6.97 ** KEPT (pick-wt=12): 164 [] -class_Int_Oring__char__0(A)|c_Int_Oring__1__class_Oof__int(A,B)=c_Int_Oring__1__class_Oof__int(A,C)|B!=C.
% 6.92/6.97 ** KEPT (pick-wt=18): 165 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 6.92/6.97 ** KEPT (pick-wt=15): 166 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),$f30(C,B,A))).
% 6.92/6.97 Following clause subsumed by 165 during input processing: 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 6.92/6.97 ** KEPT (pick-wt=15): 167 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),$f31(C,B,A))).
% 6.92/6.97 Following clause subsumed by 165 during input processing: 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 6.92/6.97 ** KEPT (pick-wt=12): 168 [] -class_Int_Oring__char__0(A)|c_Int_Oring__1__class_Oof__int(A,B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.97 ** KEPT (pick-wt=12): 169 [] -class_Int_Oring__char__0(A)|c_Int_Oring__1__class_Oof__int(A,B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.97 ** KEPT (pick-wt=12): 170 [] -class_Int_Oring__char__0(A)|c_Groups_Ozero__class_Ozero(A)!=c_Int_Oring__1__class_Oof__int(A,B)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.97 ** KEPT (pick-wt=12): 171 [] -class_Int_Oring__char__0(A)|c_Groups_Ozero__class_Ozero(A)=c_Int_Oring__1__class_Oof__int(A,B)|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 6.92/6.97 ** KEPT (pick-wt=9): 172 [] -class_Rings_Oring__1(A)|c_Int_Oring__1__class_Oof__int(A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=20): 173 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Int_Oring__1__class_Oof__int(A,B)),c_Int_Oring__1__class_Oof__int(A,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),C)).
% 6.92/6.97 ** KEPT (pick-wt=20): 174 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Int_Oring__1__class_Oof__int(A,B)),c_Int_Oring__1__class_Oof__int(A,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),C)).
% 6.92/6.97 ** KEPT (pick-wt=13): 175 [] -class_Rings_Oring__1(A)|c_Int_Oring__1__class_Oof__int(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B).
% 6.92/6.97 Following clause subsumed by 144 during input processing: 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A=B.
% 6.92/6.97 Following clause subsumed by 145 during input processing: 0 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A!=B.
% 6.92/6.97 ** KEPT (pick-wt=34): 176 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C),A)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C),B))).
% 6.92/6.97 ** KEPT (pick-wt=16): 177 [] -hBOOL(hAPP(A,hAPP(c_Int_Onat,B)))|B!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),C)|hBOOL(hAPP(A,C)).
% 6.92/6.97 ** KEPT (pick-wt=19): 178 [] -hBOOL(hAPP(A,hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.97 ** KEPT (pick-wt=19): 180 [copy,179,flip.2] hBOOL(hAPP(A,hAPP(c_Int_Onat,B)))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f32(B,A))=B| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.97 ** KEPT (pick-wt=20): 181 [] hBOOL(hAPP(A,hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(A,$f32(B,A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.97 ** KEPT (pick-wt=17): 182 [] hBOOL(hAPP(A,hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(A,$f32(B,A)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 6.92/6.97 ** KEPT (pick-wt=17): 183 [] -class_Rings_Oring__1(A)|c_Int_Oring__1__class_Oof__int(A,c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,C))=c_Groups_Otimes__class_Otimes(A,c_Int_Oring__1__class_Oof__int(A,B),c_Int_Oring__1__class_Oof__int(A,C)).
% 6.92/6.97 ** KEPT (pick-wt=20): 184 [] -class_Rings_Osemiring__1(A)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B,C))=c_Groups_Otimes__class_Otimes(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)).
% 6.92/6.97 ** KEPT (pick-wt=28): 185 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint,C,A)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,C,B))).
% 6.92/6.97 ** KEPT (pick-wt=26): 186 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,B)),hAPP(c_Int_Onat,A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A)).
% 6.92/6.97 ** KEPT (pick-wt=26): 187 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,B)),hAPP(c_Int_Onat,A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B),A)).
% 6.92/6.97 ** KEPT (pick-wt=19): 188 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 6.92/6.97 ** KEPT (pick-wt=18): 189 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 6.92/6.97 Following clause subsumed by 187 during input processing: 0 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 6.92/6.97 ** KEPT (pick-wt=19): 190 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)).
% 6.92/6.97 ** KEPT (pick-wt=19): 191 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)).
% 6.92/6.97 ** KEPT (pick-wt=18): 192 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A)).
% 6.92/6.97 ** KEPT (pick-wt=18): 193 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A)).
% 6.92/6.97 ** KEPT (pick-wt=30): 194 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,D,C)),c_Groups_Otimes__class_Otimes(A,D,B))).
% 6.92/6.97 ** KEPT (pick-wt=30): 195 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,C,D)),c_Groups_Otimes__class_Otimes(A,B,D))).
% 6.92/6.97 ** KEPT (pick-wt=30): 196 [] -class_Rings_Olinordered__comm__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,D,B)),c_Groups_Otimes__class_Otimes(A,D,C))).
% 6.92/6.97 ** KEPT (pick-wt=30): 197 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,D,B)),c_Groups_Otimes__class_Otimes(A,D,C))).
% 6.92/6.97 ** KEPT (pick-wt=30): 198 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,D)),c_Groups_Otimes__class_Otimes(A,C,D))).
% 6.92/6.97 ** KEPT (pick-wt=29): 199 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),c_Groups_Otimes__class_Otimes(A,B,C))).
% 6.92/6.97 ** KEPT (pick-wt=29): 200 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=15): 201 [] 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).
% 6.92/6.97 ** KEPT (pick-wt=11): 202 [] 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).
% 6.92/6.97 ** KEPT (pick-wt=11): 203 [] 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).
% 6.92/6.97 ** KEPT (pick-wt=16): 204 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B=C|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.97 ** KEPT (pick-wt=12): 205 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 6.92/6.97 ** KEPT (pick-wt=13): 206 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.97 ** KEPT (pick-wt=16): 207 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)|A=C|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.97 ** KEPT (pick-wt=12): 208 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)|A!=C.
% 6.92/6.97 ** KEPT (pick-wt=13): 209 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.97 ** KEPT (pick-wt=19): 210 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 6.92/6.97 ** KEPT (pick-wt=19): 211 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 6.92/6.97 ** KEPT (pick-wt=27): 212 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 6.92/6.97 ** KEPT (pick-wt=21): 213 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 6.92/6.97 ** KEPT (pick-wt=20): 214 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 6.92/6.97 ** KEPT (pick-wt=28): 215 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 6.92/6.97 ** KEPT (pick-wt=21): 216 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 6.92/6.97 ** KEPT (pick-wt=20): 217 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),C)).
% 6.92/6.97 ** KEPT (pick-wt=28): 218 [] hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),C)).
% 6.92/6.97 Following clause subsumed by 218 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B,C))).
% 6.92/6.97 Following clause subsumed by 215 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,A)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B))).
% 6.92/6.97 ** KEPT (pick-wt=19): 219 [] -class_Rings_Olinordered__idom(A)|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 6.92/6.97 ** KEPT (pick-wt=17): 220 [] -class_Rings_Ono__zero__divisors(A)|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).
% 6.92/6.97 Following clause subsumed by 220 during input processing: 0 [] -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|c_Groups_Otimes__class_Otimes(A,B,C)!=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=17): 221 [] -class_Rings_Oring__no__zero__divisors(A)|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).
% 6.92/6.97 ** KEPT (pick-wt=13): 222 [] -class_Rings_Oring__no__zero__divisors(A)|c_Groups_Otimes__class_Otimes(A,B,C)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=13): 223 [] -class_Rings_Oring__no__zero__divisors(A)|c_Groups_Otimes__class_Otimes(A,B,C)=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=10): 224 [] -class_Rings_Omult__zero(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=10): 225 [] -class_Rings_Omult__zero(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Ozero__class_Ozero(A),B)=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=13): 226 [] -class_Rings_Olinordered__ring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,B)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=31): 227 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,D,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=30): 228 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,D,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),B)).
% 6.92/6.97 ** KEPT (pick-wt=30): 229 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,D,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=29): 230 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,D,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),B)).
% 6.92/6.97 ** KEPT (pick-wt=30): 231 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,D,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 6.92/6.97 Following clause subsumed by 195 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,D,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),B)).
% 6.92/6.97 ** KEPT (pick-wt=31): 232 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=30): 233 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 6.92/6.97 ** KEPT (pick-wt=30): 234 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=29): 235 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 6.92/6.97 ** KEPT (pick-wt=30): 236 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 6.92/6.97 Following clause subsumed by 194 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 6.92/6.97 ** KEPT (pick-wt=30): 237 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 6.92/6.97 Following clause subsumed by 236 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 6.92/6.97 ** KEPT (pick-wt=29): 238 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),c_Groups_Otimes__class_Otimes(A,B,C))).
% 6.92/6.97 ** KEPT (pick-wt=29): 239 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 Following clause subsumed by 200 during input processing: 0 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,C,B)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=29): 240 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),c_Groups_Otimes__class_Otimes(A,B,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C)).
% 6.92/6.97 ** KEPT (pick-wt=29): 241 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),c_Groups_Otimes__class_Otimes(A,B,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B)).
% 6.92/6.97 ** KEPT (pick-wt=30): 242 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 6.92/6.97 Following clause subsumed by 194 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 6.92/6.97 ** KEPT (pick-wt=20): 243 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B=C.
% 6.92/6.97 Following clause subsumed by 205 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 6.92/6.97 Following clause subsumed by 214 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 6.92/6.97 Following clause subsumed by 215 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),C)).
% 6.92/6.97 Following clause subsumed by 204 during input processing: 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 6.92/6.97 Following clause subsumed by 206 during input processing: 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.97 Following clause subsumed by 205 during input processing: 0 [] c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 6.92/6.97 ** KEPT (pick-wt=44): 244 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,c_COMBK(tc_fun(B,tc_HOL_Obool),A,E))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional(A,B,D)))|c_FuncSet_Ocompose(A,A,B,D,C,c_FuncSet_Orestrict(A,A,c_COMBI(A),D))=C.
% 6.92/6.97 ** KEPT (pick-wt=44): 245 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,c_COMBK(tc_fun(B,tc_HOL_Obool),A,E))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional(A,B,D)))|c_FuncSet_Ocompose(A,B,B,D,c_FuncSet_Orestrict(B,B,c_COMBI(B),E),C)=C.
% 6.92/6.97 ** KEPT (pick-wt=10): 246 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=11): 247 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,B,C)=c_Groups_Otimes__class_Otimes(A,C,B).
% 6.92/6.97 ** KEPT (pick-wt=17): 248 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,D))=c_Groups_Otimes__class_Otimes(A,C,c_Groups_Otimes__class_Otimes(A,B,D)).
% 6.92/6.97 ** KEPT (pick-wt=17): 250 [copy,249,flip.2] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),D)=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,D)).
% 6.92/6.97 Following clause subsumed by 250 during input processing: 0 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),D)=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,D)).
% 6.92/6.97 ** KEPT (pick-wt=17): 251 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),D)=c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,D),C).
% 6.92/6.97 Following clause subsumed by 250 during input processing: 0 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,c_Groups_Otimes__class_Otimes(A,D,E))).
% 6.92/6.97 Following clause subsumed by 248 during input processing: 0 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Otimes__class_Otimes(A,D,c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),E)).
% 6.92/6.97 ** KEPT (pick-wt=23): 252 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,D),c_Groups_Otimes__class_Otimes(A,C,E)).
% 6.92/6.97 ** KEPT (pick-wt=19): 253 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional(A,B,D)))|c_FuncSet_Orestrict(A,B,C,D)=C.
% 6.92/6.97 ** KEPT (pick-wt=10): 254 [] -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Ozero__class_Ozero(A),B)=c_Groups_Ozero__class_Ozero(A).
% 6.92/6.97 ** KEPT (pick-wt=38): 255 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f33(C,B,A,D,E))),hAPP(C,$f33(C,B,A,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),c_FuncSet_Orestrict(E,A,B,D)),c_FuncSet_OPi(E,A,D,C))).
% 6.92/6.97 ** KEPT (pick-wt=36): 256 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f34(C,B,A,D,E))),C))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),c_FuncSet_Orestrict(E,A,B,D)),c_FuncSet_OPi(E,A,D,c_COMBK(tc_fun(A,tc_HOL_Obool),E,C)))).
% 6.92/6.97 ** KEPT (pick-wt=26): 257 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))).
% 6.92/6.97 ** KEPT (pick-wt=26): 258 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))).
% 6.92/6.97 ** KEPT (pick-wt=19): 259 [] -class_Rings_Oring__1(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),hAPP(c_Int_Onat,B))=c_Int_Oring__1__class_Oof__int(A,B).
% 6.92/6.97 ** KEPT (pick-wt=29): 261 [copy,260,flip.3] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B))=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B)).
% 6.92/6.97 ** KEPT (pick-wt=18): 262 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Oring__1__class_Oof__int(A,B)),c_Int_Oring__1__class_Oof__int(A,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B),C)).
% 6.92/6.97 ** KEPT (pick-wt=18): 263 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Oring__1__class_Oof__int(A,B)),c_Int_Oring__1__class_Oof__int(A,C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B),C)).
% 6.92/6.97 ** KEPT (pick-wt=20): 264 [] -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 6.92/6.97 ** KEPT (pick-wt=20): 265 [] -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B),C)).
% 6.92/6.97 ** KEPT (pick-wt=18): 266 [] -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,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),C)).
% 6.92/6.97 ** KEPT (pick-wt=15): 267 [] -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,B),A))|A=B.
% 6.92/6.97 ** KEPT (pick-wt=13): 268 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),B)).
% 6.92/6.97 ** KEPT (pick-wt=10): 269 [] -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B))|A!=B.
% 6.92/6.97 ** KEPT (pick-wt=16): 270 [] hBOOL(hAPP(hAPP(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.
% 6.92/6.97 ** KEPT (pick-wt=18): 271 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Oring__1__class_Oof__int(A,B)),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.97 ** KEPT (pick-wt=18): 272 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Int_Oring__1__class_Oof__int(A,B)),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.97 ** KEPT (pick-wt=18): 273 [] -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Int_Oring__1__class_Oof__int(A,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 6.92/6.97 ** KEPT (pick-wt=18): 274 [] -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Int_Oring__1__class_Oof__int(A,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 6.92/6.97 ** KEPT (pick-wt=26): 275 [] -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,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=26): 276 [] -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,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=26): 277 [] -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)),c_Groups_Otimes__class_Otimes(A,B,C))).
% 6.92/6.97 ** KEPT (pick-wt=26): 278 [] -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)),c_Groups_Otimes__class_Otimes(A,B,C))).
% 6.92/6.97 ** KEPT (pick-wt=40): 279 [] -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,c_Groups_Otimes__class_Otimes(A,B,D)),c_Groups_Otimes__class_Otimes(A,C,E))).
% 6.92/6.97 ** KEPT (pick-wt=40): 280 [] -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,c_Groups_Otimes__class_Otimes(A,B,D)),c_Groups_Otimes__class_Otimes(A,C,E))).
% 6.92/6.97 ** KEPT (pick-wt=27): 281 [] -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,c_Groups_Otimes__class_Otimes(A,D,C)),c_Groups_Otimes__class_Otimes(A,D,B))).
% 6.92/6.97 ** KEPT (pick-wt=27): 282 [] -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,c_Groups_Otimes__class_Otimes(A,C,D)),c_Groups_Otimes__class_Otimes(A,B,D))).
% 6.92/6.97 ** KEPT (pick-wt=27): 283 [] -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,c_Groups_Otimes__class_Otimes(A,D,B)),c_Groups_Otimes__class_Otimes(A,D,C))).
% 6.92/6.97 ** KEPT (pick-wt=27): 284 [] -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,c_Groups_Otimes__class_Otimes(A,D,B)),c_Groups_Otimes__class_Otimes(A,D,C))).
% 6.92/6.97 ** KEPT (pick-wt=27): 285 [] -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,c_Groups_Otimes__class_Otimes(A,B,D)),c_Groups_Otimes__class_Otimes(A,C,D))).
% 6.92/6.97 Following clause subsumed by 278 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)),c_Groups_Otimes__class_Otimes(A,B,C))).
% 6.92/6.97 Following clause subsumed by 276 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,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 Following clause subsumed by 276 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,c_Groups_Otimes__class_Otimes(A,C,B)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 Following clause subsumed by 275 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,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Ozero__class_Ozero(A))).
% 6.92/6.97 ** KEPT (pick-wt=26): 286 [] -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)),c_Groups_Otimes__class_Otimes(A,B,C))).
% 6.92/6.97 ** KEPT (pick-wt=26): 287 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,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))).
% 6.92/6.97 ** KEPT (pick-wt=26): 288 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,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)).
% 6.92/6.97 ** KEPT (pick-wt=26): 289 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,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))).
% 6.92/6.97 ** KEPT (pick-wt=26): 290 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,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)).
% 6.92/6.97 ** KEPT (pick-wt=26): 291 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,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))).
% 6.92/6.97 ** KEPT (pick-wt=26): 292 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,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)).
% 6.92/6.97 ** KEPT (pick-wt=26): 293 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),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))).
% 6.92/6.97 ** KEPT (pick-wt=26): 294 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),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))).
% 6.92/6.97 ** KEPT (pick-wt=26): 295 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),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))).
% 6.92/6.97 ** KEPT (pick-wt=26): 296 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),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))).
% 6.92/6.97 ** KEPT (pick-wt=26): 297 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),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)).
% 6.92/6.97 ** KEPT (pick-wt=26): 298 [] -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),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))).
% 6.92/6.97 ** KEPT (pick-wt=12): 299 [] -class_Rings_Olinordered__ring(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),c_Groups_Otimes__class_Otimes(A,B,B))).
% 6.92/6.97 ** KEPT (pick-wt=12): 300 [] -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B))).
% 6.92/6.97 Following clause subsumed by 300 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B))).
% 6.92/6.97 ** KEPT (pick-wt=19): 301 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(B,A))|hBOOL(hAPP(B,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f35(B)))).
% 6.92/6.97 ** KEPT (pick-wt=15): 302 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f36(A)))| -hBOOL(hAPP(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))).
% 6.92/6.97 ** KEPT (pick-wt=12): 303 [] hBOOL(hAPP(A,$f36(A)))| -hBOOL(hAPP(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))).
% 6.92/6.97 ** KEPT (pick-wt=12): 304 [] -hBOOL(hAPP(A,$f37(A)))|hBOOL(hAPP(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))).
% 6.92/6.97 ** KEPT (pick-wt=19): 305 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(B,A))| -hBOOL(hAPP(B,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),$f38(B)))).
% 6.92/6.97 ** KEPT (pick-wt=24): 306 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)!=hAPP(c_Int_Onat,B)|A=B.
% 6.92/6.97 ** KEPT (pick-wt=24): 307 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,B)|A!=B.
% 6.92/6.97 ** KEPT (pick-wt=12): 308 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),$f39(A))).
% 6.92/6.97 ** KEPT (pick-wt=11): 309 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,hAPP(c_Int_Onat,$f39(A)))).
% 6.92/6.97 ** KEPT (pick-wt=18): 310 [] hBOOL(hAPP(A,$f40(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(A,hAPP(c_Int_Onat,B))).
% 6.92/6.97 ** KEPT (pick-wt=18): 311 [] -hBOOL(hAPP(A,$f41(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hBOOL(hAPP(A,hAPP(c_Int_Onat,B))).
% 6.92/6.98 ** KEPT (pick-wt=11): 312 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,hAPP(c_Int_Onat,$f42(A)))).
% 6.92/6.98 Following clause subsumed by 306 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)!=hAPP(c_Int_Onat,B)|A=B.
% 6.92/6.98 Following clause subsumed by 307 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,B)|A!=B.
% 6.92/6.98 ** KEPT (pick-wt=24): 313 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B))).
% 6.92/6.98 ** KEPT (pick-wt=28): 314 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.98 ** KEPT (pick-wt=28): 315 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,D,C)))| -hBOOL(hAPP(hAPP(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)).
% 6.92/6.98 ** KEPT (pick-wt=29): 316 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 6.92/6.98 ** KEPT (pick-wt=29): 317 [] -class_Rings_Olinordered__semiring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 6.92/6.98 ** KEPT (pick-wt=29): 318 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 6.92/6.98 ** KEPT (pick-wt=29): 319 [] -class_Rings_Olinordered__semiring(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,C)),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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 6.92/6.98 ** KEPT (pick-wt=43): 320 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))| -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,D)),c_Groups_Otimes__class_Otimes(A,C,E))).
% 6.92/6.98 ** KEPT (pick-wt=43): 321 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(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))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,D)),c_Groups_Otimes__class_Otimes(A,C,E))).
% 6.92/6.98 ** KEPT (pick-wt=43): 322 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,D)),c_Groups_Otimes__class_Otimes(A,C,E))).
% 6.92/6.98 ** KEPT (pick-wt=44): 323 [] -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))| -hBOOL(hAPP(hAPP(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))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Otimes__class_Otimes(A,B,D)),c_Groups_Otimes__class_Otimes(A,C,E))).
% 6.92/6.98 ** KEPT (pick-wt=28): 324 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),C)).
% 6.92/6.98 ** KEPT (pick-wt=28): 325 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),C)).
% 6.92/6.98 ** KEPT (pick-wt=28): 326 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(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_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D)).
% 6.92/6.98 ** KEPT (pick-wt=28): 327 [] -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(hAPP(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_Otimes__class_Otimes(A,B,C)),c_Groups_Otimes__class_Otimes(A,B,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,C),D)).
% 6.92/6.98 ** KEPT (pick-wt=14): 328 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=14): 329 [] hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=13): 330 [] hAPP(c_Int_Onat,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.98 ** KEPT (pick-wt=13): 331 [] hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 6.92/6.98 Following clause subsumed by 331 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=15): 332 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 6.92/6.98 ** KEPT (pick-wt=11): 333 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=B|A=hAPP(c_Int_Onat,B).
% 6.92/6.98 ** KEPT (pick-wt=13): 334 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 6.92/6.98 ** KEPT (pick-wt=18): 335 [] hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=B|A!=hAPP(c_Int_Onat,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 6.92/6.98 Following clause subsumed by 332 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 6.92/6.98 Following clause subsumed by 189 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 6.92/6.98 ** KEPT (pick-wt=32): 336 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 6.92/6.98 Following clause subsumed by 189 during input processing: 0 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 6.92/6.98 ** KEPT (pick-wt=25): 337 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),A),B)).
% 6.92/6.98 ** KEPT (pick-wt=18): 338 [] A!=hAPP(c_Int_Onat,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|B=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A).
% 6.92/6.98 ** KEPT (pick-wt=16): 339 [] A!=hAPP(c_Int_Onat,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=16): 340 [] A=hAPP(c_Int_Onat,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=18): 341 [] A=hAPP(c_Int_Onat,B)|B!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 6.92/6.98 ** KEPT (pick-wt=15): 342 [] A=hAPP(c_Int_Onat,B)|B!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=18): 343 [] hAPP(c_Int_Onat,A)!=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|A=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B).
% 6.92/6.98 ** KEPT (pick-wt=16): 344 [] hAPP(c_Int_Onat,A)!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=16): 345 [] hAPP(c_Int_Onat,A)=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=18): 346 [] hAPP(c_Int_Onat,A)=B|A!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A)).
% 6.92/6.98 ** KEPT (pick-wt=15): 347 [] hAPP(c_Int_Onat,A)=B|A!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 6.92/6.98 ** KEPT (pick-wt=22): 348 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(c_Int_Onat,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B))=c_G
% 6.92/6.98 Search stopped in tp_alloc by max_mem option.
% 6.92/6.98 roups_Otimes__class_Otimes(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B)).
% 6.92/6.98 ** KEPT (pick-wt=8): 349 [] -class_Orderings_Opreorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),B)).
% 6.92/6.98 ** KEPT (pick-wt=22): 350 [] -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 6.92/6.98 ** KEPT (pick-wt=22): 351 [] -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 6.92/6.98 ** KEPT (pick-wt=22): 352 [] -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(A,D),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),C)).
% 6.92/6.98 ** KEPT (pick-wt=22): 353 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 6.92/6.98 ** KEPT (pick-wt=22): 354 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Wellfounded_Oacc(A,C)),c_Wellfounded_Oacc(A,B))).
% 6.92/6.98 ** KEPT (pick-wt=19): 355 [] -class_Orderings_Oord(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(B,A)),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C),D)).
% 6.92/6.98 ** KEPT (pick-wt=19): 356 [] -class_Orderings_Oord(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(B,A)),C),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),D),C)).
% 6.92/6.98 ** KEPT (pick-wt=27): 357 [] -class_Orderings_Oord(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(B,A)),C),D))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),D),C)).
% 6.92/6.98 ** KEPT (pick-wt=26): 358 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_fun(A,D),tc_HOL_Obool),c_FuncSet_OPi(A,D,C,E)),c_FuncSet_OPi(A,D,B,E))).
% 6.92/6.98 ** KEPT (pick-wt=9): 359 [] A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),B)).
% 6.92/6.98 ** KEPT (pick-wt=18): 360 [] -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,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A),C)).
% 6.92/6.98 ** KEPT (pick-wt=15): 361 [] -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,B),A))|A=B.
% 6.92/6.98 ** KEPT (pick-wt=22): 362 [] -hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_fun(A,tc_HOL_Obool)),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Wellfounded_Oaccp(A,C)),c_Wellfounded_Oaccp(A,B))).
% 6.92/6.98
% 6.92/6.98 Search stopped in tp_alloc by max_mem option.
% 6.92/6.98
% 6.92/6.98 ============ end of search ============
% 6.92/6.98
% 6.92/6.98 -------------- statistics -------------
% 6.92/6.98 clauses given 0
% 6.92/6.98 clauses generated 0
% 6.92/6.98 clauses kept 356
% 6.92/6.98 clauses forward subsumed 48
% 6.92/6.98 clauses back subsumed 0
% 6.92/6.98 Kbytes malloced 11718
% 6.92/6.98
% 6.92/6.98 ----------- times (seconds) -----------
% 6.92/6.98 user CPU time 0.14 (0 hr, 0 min, 0 sec)
% 6.92/6.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 6.92/6.98 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.92/6.98
% 6.92/6.98 Process 24410 finished Wed Jul 27 09:18:15 2022
% 6.92/6.98 Otter interrupted
% 6.92/6.98 PROOF NOT FOUND
%------------------------------------------------------------------------------