TSTP Solution File: SCT118+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SCT118+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:12:32 EDT 2022
% Result : Unknown 8.65s 8.68s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT118+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n014.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 09:05:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 8.62/8.62 ----- Otter 3.3f, August 2004 -----
% 8.62/8.62 The process was started by sandbox on n014.cluster.edu,
% 8.62/8.62 Wed Jul 27 09:05:24 2022
% 8.62/8.62 The command was "./otter". The process ID is 23631.
% 8.62/8.62
% 8.62/8.62 set(prolog_style_variables).
% 8.62/8.62 set(auto).
% 8.62/8.62 dependent: set(auto1).
% 8.62/8.62 dependent: set(process_input).
% 8.62/8.62 dependent: clear(print_kept).
% 8.62/8.62 dependent: clear(print_new_demod).
% 8.62/8.62 dependent: clear(print_back_demod).
% 8.62/8.62 dependent: clear(print_back_sub).
% 8.62/8.62 dependent: set(control_memory).
% 8.62/8.62 dependent: assign(max_mem, 12000).
% 8.62/8.62 dependent: assign(pick_given_ratio, 4).
% 8.62/8.62 dependent: assign(stats_level, 1).
% 8.62/8.62 dependent: assign(max_seconds, 10800).
% 8.62/8.62 clear(print_given).
% 8.62/8.62
% 8.62/8.62 formula_list(usable).
% 8.62/8.62 all A (A=A).
% 8.62/8.62 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).
% 8.62/8.62 all V_ia_2 V_Fa_2 (c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_ia_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_ia_2)))).
% 8.62/8.62 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)))).
% 8.62/8.62 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)))).
% 8.62/8.62 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))))).
% 8.62/8.62 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)))).
% 8.62/8.62 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))))).
% 8.62/8.62 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).
% 8.62/8.62 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)))).
% 8.62/8.62 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)))).
% 8.62/8.62 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))).
% 8.62/8.62 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))))).
% 8.62/8.62 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).
% 8.62/8.62 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)))).
% 8.62/8.62 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))).
% 8.62/8.62 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))).
% 8.62/8.62 all V_A_2 T_a V_b_2 V_a_2 (V_a_2=V_b_2-> (hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)))).
% 8.62/8.62 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)))).
% 8.62/8.62 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)))).
% 8.62/8.62 all V_y_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fe_qual,V_y_2)))<->V_x_2=V_y_2).
% 8.62/8.62 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))).
% 8.62/8.62 all V_b_2 V_a_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_a_2),V_b_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_b_2),V_a_2)),V_L_2)))).
% 8.62/8.62 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))))).
% 8.62/8.62 all V_y_2 V_x_2 V_L_2 V_b_2 V_a_2 (V_a_2!=V_b_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_a_2,V_b_2)))<->V_x_2!=V_y_2& (V_y_2=V_a_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_b_2)),V_L_2)))& (V_y_2!=V_a_2-> (V_x_2=V_a_2->V_y_2=V_b_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_b_2),V_y_2)),V_L_2)))& (V_x_2!=V_a_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))))))).
% 8.62/8.62 all V_y_2 V_x_2 V_L_2 V_b_2 V_a_2 (V_a_2!=V_b_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_a_2,V_b_2)))<->V_x_2!=V_y_2& (V_x_2=V_b_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_2),V_y_2)),V_L_2)))& (V_x_2!=V_b_2-> (V_y_2=V_b_2->V_x_2=V_a_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_a_2)),V_L_2)))& (V_y_2!=V_b_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))))))).
% 8.62/8.62 all V_s_2 V_r_2 V_b_H_2 V_a_H_2 V_b_2 V_a_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_a_2),V_b_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_a_2),V_a_H_2)),V_r_2))|V_a_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_b_2),V_b_H_2)),V_s_2))).
% 8.62/8.62 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)))).
% 8.62/8.62 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)))).
% 8.62/8.62 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)))).
% 8.62/8.62 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))))).
% 8.62/8.62 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))))))))))).
% 8.62/8.62 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)))))))).
% 8.62/8.62 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))))).
% 8.62/8.62 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)))).
% 8.62/8.62 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)))))).
% 8.62/8.62 all V_D_2 V_h_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_h_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_h_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_h_2,V_g_2),V_f_2)))).
% 8.62/8.62 all V_r_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_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_a_2)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2)))))).
% 8.62/8.62 all V_a_2 V_r_2 V_b_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_b_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_a_2),V_b_2)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))))).
% 8.62/8.62 all V_a2_2 V_a1_2 V_Fa_2 V_R_2 T_b T_a (c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))<-> (exists B_g (hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)=hAPP(hAPP(V_Fa_2,B_g),V_a1_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_a1_2)),V_R_2))->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP(B_g,B_z))))))).
% 8.62/8.62 c_Arrow__Order__Mirabelle_OProf=c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),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_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin)).
% 8.62/8.62 all T_b V_a_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_a_2)),B_R))->hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),B_f),B_R),V_a_2),V_x_2)=hAPP(B_f,V_x_2)).
% 8.62/8.62 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)))).
% 8.62/8.62 all V_f_2 T_b V_r_2 V_a_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_a_2)),V_r_2))->hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_a_2),V_x_2)=hAPP(V_f_2,V_x_2)).
% 8.62/8.62 exists B_L hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_L),c_Arrow__Order__Mirabelle_OLin)).
% 8.62/8.62 all V_x_2 T_a hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)).
% 8.62/8.62 all V_x_2 T_a hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))).
% 8.62/8.62 all V_A_2 T_b T_a (c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))).
% 8.62/8.62 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))).
% 8.62/8.62 all V_x_2 T_b T_a (class_Orderings_Otop(T_a)->hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Otop__class_Otop(T_a)).
% 8.62/8.62 all V_x_2 T_a hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))).
% 8.62/8.62 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))).
% 8.62/8.62 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)))).
% 8.62/8.62 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)))))).
% 8.62/8.62 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)))).
% 8.62/8.62 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))).
% 8.62/8.62 all V_g_2 V_Fa_2 T_b V_R_2 V_x_2 T_a ((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))->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP(V_g_2,B_z))))->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2,hAPP(hAPP(V_Fa_2,V_g_2),V_x_2))).
% 8.62/8.62 all V_a2_2 V_a1_2 V_Fa_2 V_R_2 T_b T_a (c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)<-> (exists B_g (V_a2_2=hAPP(hAPP(V_Fa_2,B_g),V_a1_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_a1_2)),V_R_2))->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP(B_g,B_z))))))).
% 8.62/8.62 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))).
% 8.62/8.62 all V_a_2 V_r_2 T_a (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))<-> (all B_x (hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))->hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x))))).
% 8.62/8.62 all V_a_2 V_r_2 T_a (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))<-> (all B_x (hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))->hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x))))).
% 8.62/8.62 all V_a_2 V_b_2 V_r_2 T_a (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2))-> (hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))->hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)))).
% 8.62/8.62 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))).
% 8.62/8.62 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)).
% 8.62/8.62 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)).
% 8.62/8.62 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)))).
% 8.62/8.62 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))).
% 8.62/8.62 all V_g_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(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))-> ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->hAPP(V_f_2,B_x)=hAPP(V_g_2,B_x)))->V_f_2=V_g_2))).
% 8.62/8.62 all V_b_2 V_r_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_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_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))->hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))))).
% 8.62/8.62 all V_r_2 V_a_2 V_b_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_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))-> (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))->hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))))).
% 8.62/8.62 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))).
% 8.62/8.62 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))).
% 8.62/8.62 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)).
% 8.62/8.62 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))->hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),V_T_2)))).
% 8.62/8.62 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).
% 8.62/8.62 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))).
% 8.62/8.62 all V_r_2 V_a_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_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.62/8.62 all V_r_2 V_p_2 T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(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_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(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_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(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_b_2),V_c_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_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_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_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(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_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))).
% 8.62/8.62 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)))).
% 8.62/8.62 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))))).
% 8.62/8.62 all V_T_2 V_S_2 T_b T_a (c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)),c_FuncSet_OPi(T_a,T_b,V_S_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_T_2))),c_FuncSet_Oextensional(T_a,T_b,V_S_2))).
% 8.62/8.62 all T_a V_B_2 V_x_2 V_A_2 (hBOOL(hAPP(V_A_2,V_x_2))-> (hBOOL(hAPP(V_B_2,V_x_2))->hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)))).
% 8.62/8.62 all V_x_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))-> -(hBOOL(hAPP(V_A_2,V_x_2))-> -hBOOL(hAPP(V_B_2,V_x_2)))).
% 8.62/8.62 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),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))))).
% 8.62/8.62 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)))).
% 8.62/8.62 all V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)=V_A_2).
% 8.62/8.62 all V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)).
% 8.62/8.62 all V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))).
% 8.62/8.62 all V_x_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))->hBOOL(hAPP(V_A_2,V_x_2))).
% 8.62/8.62 all V_x_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))->hBOOL(hAPP(V_B_2,V_x_2))).
% 8.62/8.62 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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))).
% 8.62/8.62 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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))).
% 8.62/8.62 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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))).
% 8.62/8.62 all V_B_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2)=V_B_2).
% 8.62/8.62 all V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=V_A_2).
% 8.62/8.62 all V_x_2 V_S_2 V_R_2 T_a (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)),V_x_2))<->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2)))).
% 8.62/8.62 all V_r_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))=c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 8.62/8.62 all V_x_2 V_g_2 V_f_2 T_b T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))).
% 8.62/8.62 all V_x_2 V_g_2 V_f_2 T_b T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))).
% 8.62/8.62 all V_x T_a (class_Lattices_Obounded__lattice__top(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=V_x).
% 8.62/8.62 all V_x T_a (class_Lattices_Obounded__lattice__top(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=V_x).
% 8.62/8.62 all V_y_2 V_x_2 T_a (class_Lattices_Obounded__lattice__top(T_a)-> (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2)=c_Orderings_Otop__class_Otop(T_a)<->V_x_2=c_Orderings_Otop__class_Otop(T_a)&V_y_2=c_Orderings_Otop__class_Otop(T_a))).
% 8.62/8.62 all V_z_2 V_y_2 V_x_2 V_r_2 T_a (c_Relation_Osingle__valued(T_a,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_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(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_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(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_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(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_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))).
% 8.62/8.62 all V_y_2 V_R_2 V_x_2 T_a (-hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,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_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))<->V_x_2=V_y_2)).
% 8.62/8.62 all V_r_2 V_zb_2 V_za_2 V_xb_2 V_xa_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_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))-> (hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2)!=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2)-> -(all B_a B_b (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_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))),V_r_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),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))))))).
% 8.62/8.62 all V_y_2 V_x_2 V_S_2 V_R_2 T_b T_a (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)),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)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))).
% 8.62/8.62 all V_R_2 T_a (c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_a T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a)=V_a).
% 8.62/8.62 all V_x T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x)=V_x).
% 8.62/8.62 all V_b V_a T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)).
% 8.62/8.62 all V_b V_a T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)).
% 8.62/8.62 all V_c V_a V_b T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))).
% 8.62/8.62 all V_c V_b V_a T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))).
% 8.62/8.62 all V_r_2 V_b_2 V_a_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ODomain(T_a,T_b,V_r_2)))).
% 8.62/8.62 all V_r_2 T_b V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ODomain(T_a,T_b,V_r_2)))<-> (exists B_y hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)))).
% 8.62/8.62 all V_z_2 V_y_2 V_x_2 V_r_2 T_b T_a (c_Relation_Osingle__valued(T_a,T_b,V_r_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))-> (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_z_2)),V_r_2))->V_y_2=V_z_2))).
% 8.62/8.62 all V_r_2 T_b T_a (c_Relation_Osingle__valued(T_a,T_b,V_r_2)<-> (all B_x B_y (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2))-> (all B_z (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2))->B_y=B_z))))).
% 8.62/8.62 all V_x_2 V_r_2 T_b T_a (c_Predicate_ODomainP(T_a,T_b,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),V_x_2)<->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,T_b,V_r_2)))).
% 8.62/8.62 all V_P_2 V_r_2 V_by_2 V_bx_2 V_ay_2 V_ax_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_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))-> (hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))-> ((all B_a B_b (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_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))-> (all B_aa B_ba (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),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba))),V_r_2))-> (hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))->hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)))))))->hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))))).
% 8.62/8.62 all V_P_2 V_r_2 V_by_2 V_bx_2 V_ay_2 V_ax_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_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))-> (hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))-> ((all B_a B_b B_aa B_ba (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),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_aa),B_ba))),V_r_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),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))-> (hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba))->hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))))))->hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))))).
% 8.62/8.62 all T_b T_a V_B_2 V_y_2 V_x_2 V_A_2 (hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))-> (hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))->hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)))).
% 8.62/8.62 all V_y_2 V_x_2 V_B_2 V_A_2 T_b T_a (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))-> -(hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))-> -hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)))).
% 8.62/8.62 all T_b T_a V_b_2 V_a_2 V_r_2 (hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))->c_Predicate_ODomainP(T_a,T_b,V_r_2,V_a_2)).
% 8.62/8.62 all V_y_2 V_x_2 V_B_2 V_A_2 T_b T_a (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))->hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))).
% 8.62/8.62 all V_y_2 V_x_2 V_B_2 V_A_2 T_b T_a (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))->hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))).
% 8.62/8.62 all V_r_2 T_a (c_Relation_Oirrefl(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))))).
% 8.62/8.62 all V_r_2 T_b V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ODomain(T_a,T_b,V_r_2)))-> -(all B_y (-hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2))))).
% 8.62/8.62 all V_r_2 V_b_2 V_a_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Relation_ORange(T_a,T_b,V_r_2)))).
% 8.62/8.62 all V_A_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_Relation_OId__on(T_a,V_A_2)))<->V_x_2=V_y_2&hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))).
% 8.62/8.62 all V_A_2 T_a V_b_2 V_a_2 (V_a_2=V_b_2-> (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId__on(T_a,V_A_2))))).
% 8.62/8.62 all V_r_2 T_b T_a ((all B_x B_y (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2))-> (all B_z (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2))->B_y=B_z))))->c_Relation_Osingle__valued(T_a,T_b,V_r_2)).
% 8.62/8.62 all V_A_2 T_a (c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2).
% 8.62/8.62 all V_A_2 T_a (c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2).
% 8.62/8.62 all V_A_2 T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 8.62/8.62 all V_R_2 T_a (c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_r_2 T_b V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ORange(T_b,T_a,V_r_2)))<-> (exists B_y hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_y),V_a_2)),V_r_2)))).
% 8.62/8.62 all V_x_2 V_r_2 T_b T_a (c_Predicate_ORangeP(T_a,T_b,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),V_x_2)<->hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Relation_ORange(T_a,T_b,V_r_2)))).
% 8.62/8.62 all V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_c_2),c_Relation_OId__on(T_a,V_A_2)))-> -(all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->V_c_2!=hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)))).
% 8.62/8.62 all V_r_2 T_b V_b_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Relation_ORange(T_b,T_a,V_r_2)))-> -(all B_x (-hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2))))).
% 8.62/8.62 all V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))-> (V_a_2!=V_b_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),V_a_2),B_y)),c_Transitive__Closure_Ortrancl(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_y),V_b_2)),V_r_2)))))).
% 8.62/8.62 all V_r_2 V_z_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_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))-> (V_x_2!=V_z_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),V_x_2),B_y)),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_y),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))))).
% 8.62/8.62 all V_P_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))-> (hBOOL(hAPP(V_P_2,V_b_2))-> ((all B_y B_z (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_z)),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_z),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))-> (hBOOL(hAPP(V_P_2,B_z))->hBOOL(hAPP(V_P_2,B_y))))))->hBOOL(hAPP(V_P_2,V_a_2))))).
% 8.62/8.62 all T_b T_a V_b_2 V_a_2 V_r_2 (hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))->c_Predicate_ORangeP(T_a,T_b,V_r_2,V_b_2)).
% 8.62/8.62 all V_a2_2 V_r_2 T_b T_a (c_Predicate_ORangeP(T_a,T_b,V_r_2,V_a2_2)<-> (exists B_a hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)))).
% 8.62/8.62 all V_P_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))-> (hBOOL(hAPP(V_P_2,V_a_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),V_a_2),B_y)),c_Transitive__Closure_Ortrancl(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_y),B_z)),V_r_2))-> (hBOOL(hAPP(V_P_2,B_y))->hBOOL(hAPP(V_P_2,B_z)))))))->hBOOL(hAPP(V_P_2,V_b_2))))).
% 8.62/8.62 all V_r_2 V_A_2 T_a (c_Relation_Ototal__on(T_a,V_A_2,V_r_2)<-> (all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))-> (all B_xa (hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))-> (B_x!=B_xa->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),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_xa),B_x)),V_r_2)))))))).
% 8.62/8.62 all V_f_2 V_r_2 T_b 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_Relation_Oinv__image(T_b,T_a,V_r_2,V_f_2)))<->hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2))).
% 8.62/8.62 all V_a_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)))).
% 8.62/8.62 all V_y_2 V_x_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_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)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)))).
% 8.62/8.62 all V_y_2 V_x_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_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)),V_r_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)))).
% 8.62/8.62 all V_A_2 T_a c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 8.62/8.62 all V_r_2 T_a c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 8.62/8.62 all V_s_2 V_B_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_Relation_Orefl__on(T_a,V_B_2,V_s_2)->c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)))).
% 8.62/8.62 all V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Otrancl(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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 8.62/8.62 all V_B_2 V_A_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ORange(T_b,T_a,V_A_2)),c_Relation_ORange(T_b,T_a,V_B_2))).
% 8.62/8.62 all V_B_2 V_A_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_b,V_A_2)),c_Relation_ODomain(T_a,T_b,V_B_2))).
% 8.62/8.62 all V_xa_2 V_x_2 V_r_2 T_a (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(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),V_xa_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_xa_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 8.62/8.62 all V_x_2 V_Fa_2 V_R_2 T_a T_b (c_Nitpick_Owf__wfrec_H(T_b,T_a,V_R_2,V_Fa_2,V_x_2)=hAPP(hAPP(V_Fa_2,hAPP(hAPP(hAPP(c_Recdef_Ocut(T_b,T_a),c_Nitpick_Owf__wfrec(T_b,T_a,V_R_2,V_Fa_2)),V_R_2),V_x_2)),V_x_2)).
% 8.62/8.62 all V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x)=V_x).
% 8.62/8.62 all V_x T_a (class_Orderings_Opreorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x)).
% 8.62/8.62 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (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)).
% 8.62/8.62 all V_a_2 V_r_2 T_a hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_a_2)).
% 8.62/8.62 all T_a V_y_2 V_x_2 V_r_2 (hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))->hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_x_2),V_y_2))).
% 8.62/8.62 all V_c_2 V_B_2 V_A_2 T_a (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)))).
% 8.62/8.62 all V_r_2 V_b_2 V_a_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_a_2),V_b_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_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 8.62/8.62 all V_R2_2 V_R1_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R1_2,V_R2_2)->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))).
% 8.62/8.62 all V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2).
% 8.62/8.62 all T_a V_B_2 V_A_2 (V_A_2=V_B_2<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)&c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 8.62/8.62 all V_Q_2 T_a V_x_2 V_P_2 (hBOOL(hAPP(V_P_2,V_x_2))-> (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)))).
% 8.62/8.62 all T_a V_B_2 V_A_2 (V_A_2=V_B_2->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 8.62/8.62 all T_a V_B_2 V_A_2 (V_A_2=V_B_2->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 8.62/8.62 all V_x_2 V_Q_2 V_P_2 T_a (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)))).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 8.62/8.62 all T_a V_B_2 V_A_2 (V_A_2=V_B_2-> -(c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))).
% 8.62/8.62 all V_B_2 T_b V_A_2 V_A_H_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_H_2,V_A_2)->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))).
% 8.62/8.62 all V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)<-> (all B_x c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x))))).
% 8.62/8.62 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)).
% 8.62/8.62 all V_y_2 V_x_2 T_a (class_Orderings_Oorder(T_a)-> (V_x_2=V_y_2<->c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2))).
% 8.62/8.62 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (V_x=V_y->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y))).
% 8.62/8.62 all V_x_2 V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)->c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)))).
% 8.62/8.62 all V_x_2 V_y_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->V_x_2=V_y_2))).
% 8.62/8.62 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)))).
% 8.62/8.62 all V_c V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a)))).
% 8.62/8.62 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (V_b=V_c->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)))).
% 8.62/8.62 all V_c V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)-> (V_b=V_c->c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a)))).
% 8.62/8.62 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->V_x=V_y))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z)))).
% 8.62/8.62 all V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->V_x=V_y))).
% 8.62/8.62 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x)))).
% 8.62/8.62 all V_x_2 V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)->c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)))).
% 8.62/8.62 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x))).
% 8.62/8.62 all V_s_2 V_r_2 V_p_2 T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))))).
% 8.62/8.62 all V_r_2 T_a (c_Transitive__Closure_Ortranclp(T_a,c_Transitive__Closure_Ortranclp(T_a,V_r_2))=c_Transitive__Closure_Ortranclp(T_a,V_r_2)).
% 8.62/8.62 all V_a_2 V_r_2 T_a hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_a_2)).
% 8.62/8.62 all V_a3_2 V_a1_2 V_r_2 T_a (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a1_2),V_a3_2))<->V_a3_2=V_a1_2| (exists B_b (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a1_2),B_b))&hBOOL(hAPP(hAPP(V_r_2,B_b),V_a3_2))))).
% 8.62/8.62 all V_c_2 T_a V_b_2 V_a_2 V_r_2 (hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))-> (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_b_2),V_c_2))->hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_c_2)))).
% 8.62/8.62 all V_c_2 V_b_2 V_a_2 V_r_2 T_a (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_b_2))-> (hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_c_2))->hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_c_2)))).
% 8.62/8.62 all V_z_2 V_y_2 V_x_2 V_r_2 T_a (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_x_2),V_y_2))-> (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_y_2),V_z_2))->hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_x_2),V_z_2)))).
% 8.62/8.62 all V_s_2 V_r_2 T_b T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_r_2),c_Relation_ODomain(T_a,T_b,V_s_2))).
% 8.62/8.62 all V_r_2 V_p_2 T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 8.62/8.62 all V_x_2 V_B_2 V_A_2 T_a (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)))).
% 8.62/8.62 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))-> (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)))).
% 8.62/8.62 all V_x_2 V_B_2 V_A_2 T_a (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)))).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_x)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_x)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_y)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_y)).
% 8.62/8.62 all V_y_2 V_x_2 T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2)=V_x_2)).
% 8.62/8.62 all V_z_2 V_y_2 V_x_2 T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2))).
% 8.62/8.62 all V_b V_x V_a T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),V_x))).
% 8.62/8.62 all V_a V_x V_b T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),V_x))).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)=V_x)).
% 8.62/8.62 all V_x V_y T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)=V_y)).
% 8.62/8.62 all V_b V_a V_x T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))))).
% 8.62/8.62 all V_d V_b V_c V_a T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_d)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d))))).
% 8.62/8.62 all V_b V_a V_x T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))-> -(c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)-> -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)))).
% 8.62/8.62 all V_x T_a (class_Orderings_Otop(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Orderings_Otop__class_Otop(T_a))).
% 8.62/8.62 all V_R_2 T_a (c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 8.62/8.62 all V_R_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 8.62/8.62 all V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_B_2 V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_A_2).
% 8.62/8.62 all V_B_2 V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_B_2).
% 8.62/8.62 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_A_2).
% 8.62/8.62 all V_A_2 V_B_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2).
% 8.62/8.62 all V_B_2 V_A_2 V_C_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))).
% 8.62/8.62 all V_D_2 V_B_2 V_C_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)))).
% 8.62/8.62 all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Transitive__Closure_Ortrancl(T_a,V_s_2))->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2))).
% 8.62/8.62 all V_S_2 V_R_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_S_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))->c_Transitive__Closure_Ortrancl(T_a,V_S_2)=c_Transitive__Closure_Ortrancl(T_a,V_R_2))).
% 8.62/8.62 all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2))).
% 8.62/8.62 all V_r_2 T_a (c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))=c_Relation_ODomain(T_a,T_a,V_r_2)).
% 8.62/8.62 all V_r_2 T_a (c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))=c_Relation_ORange(T_a,T_a,V_r_2)).
% 8.62/8.62 all V_b_2 V_a_2 V_r_2 T_a (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))-> (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_b_2),V_a_2))->hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2)))).
% 8.62/8.62 all V_a_2 V_b_2 V_r_2 T_a (hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_b_2),V_a_2))-> (hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))->hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2)))).
% 8.62/8.62 all V_s_2 V_r_2 T_b T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)-> (c_Relation_Osingle__valued(T_a,T_b,V_s_2)->c_Relation_Osingle__valued(T_a,T_b,V_r_2))).
% 8.62/8.62 all V_S_2 V_R_2 T_a (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))<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_R_2,V_S_2)).
% 8.62/8.62 all V_r_2 T_a (c_Transitive__Closure_Ortranclp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_r_2),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a,c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot)),c_fe_qual)))=c_Transitive__Closure_Ortranclp(T_a,V_r_2)).
% 8.62/8.62 all V_c_2 V_R_2 V_b_2 V_a_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_a_2),V_b_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_b_2),V_c_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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_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_b_2),V_c_2)),c_Transitive__Closure_Otrancl(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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Otrancl(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_b_2),V_c_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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Otrancl(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_b_2),V_c_2)),c_Transitive__Closure_Otrancl(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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 8.62/8.62 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)))-> (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))))).
% 8.62/8.62 all V_R_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_Transitive__Closure_Ortrancl(T_a,V_R_2)))<->V_x_2=V_y_2|V_x_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_Transitive__Closure_Otrancl(T_a,V_R_2)))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_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_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 8.62/8.62 all V_R_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))->V_a_2=V_b_2|V_a_2!=V_b_2&hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(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_b_2),V_c_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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 8.62/8.62 all V_c_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Otrancl(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_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 8.62/8.62 all V_z_2 V_r_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_Transitive__Closure_Ortrancl(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_y_2),V_z_2)),c_Transitive__Closure_Otrancl(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_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 8.62/8.62 all V_R_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_Transitive__Closure_Otrancl(T_a,V_R_2)))-> (exists B_z (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(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_z),V_y_2)),V_R_2))))).
% 8.62/8.62 all V_R_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_Transitive__Closure_Otrancl(T_a,V_R_2)))-> (exists B_z (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),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_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))))).
% 8.62/8.62 all V_r_2 T_a (c_Wellfounded_Oacyclic(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)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))))).
% 8.62/8.62 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))->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))))->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))).
% 8.62/8.62 all V_y_2 V_x_2 V_r_2 T_a ((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)),c_Transitive__Closure_Otrancl(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_x_2),V_y_2)),V_r_2))->V_x_2!=V_y_2)).
% 8.62/8.62 all V_r_2 V_s_2 T_a (c_Wellfounded_Oacyclic(T_a,V_s_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->c_Wellfounded_Oacyclic(T_a,V_r_2))).
% 8.62/8.62 all V_S_2 V_R_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_R_2,V_S_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_S_2,c_Transitive__Closure_Ortranclp(T_a,V_R_2))->c_Transitive__Closure_Ortranclp(T_a,V_S_2)=c_Transitive__Closure_Ortranclp(T_a,V_R_2))).
% 8.62/8.62 all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_r_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortranclp(T_a,V_r_2),c_Transitive__Closure_Ortranclp(T_a,V_s_2))).
% 8.62/8.62 all V_R2_2 V_R1_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_R1_2,V_R2_2)->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))).
% 8.62/8.62 all V_S_2 V_R_2 T_b T_a (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))<->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2,V_S_2)).
% 8.62/8.62 all V_R_2 T_a V_y_2 V_x_2 V_f_2 (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))))).
% 8.62/8.62 all V_r_2 T_a ((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)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))))->c_Wellfounded_Oacyclic(T_a,V_r_2)).
% 8.62/8.62 all V_A_2 V_r_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))->V_a_2=V_b_2|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)))).
% 8.62/8.62 all V_r_2 V_x_2 V_y_2 T_a (c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(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))<->c_Wellfounded_Oacyclic(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_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 8.62/8.62 all V_b_2 V_B_2 V_a_2 T_a ((-hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))->V_a_2=V_b_2)->hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_B_2)))).
% 8.62/8.62 all V_A_2 V_b_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_A_2)))-> (V_a_2!=V_b_2->hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)))).
% 8.62/8.62 all V_y_2 V_x_2 V_Q_2 V_P_2 T_b T_a (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)))).
% 8.62/8.62 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))-> (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)))).
% 8.62/8.62 all V_A_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))->c_Set_Oinsert(T_a,V_a_2,V_A_2)=V_A_2).
% 8.62/8.62 all V_b_2 V_B_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_B_2)))).
% 8.62/8.62 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(hAPP(c_member(T_a),V_x_2),V_B_2))-> (c_Set_Oinsert(T_a,V_x_2,V_A_2)=c_Set_Oinsert(T_a,V_x_2,V_B_2)<->V_A_2=V_B_2))).
% 8.62/8.62 all V_A_2 V_b_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_A_2)))<->V_a_2=V_b_2|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))).
% 8.62/8.62 all V_B_2 V_a_2 T_a hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))).
% 8.62/8.62 all V_a_2 V_D_2 V_C_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2))).
% 8.62/8.62 all V_b_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 8.62/8.62 all V_a_2 V_B_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 8.62/8.62 all V_B_2 V_A_2 V_a_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_A_2)),c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.62/8.62 all V_r_2 V_b_2 V_a_2 T_b T_a (c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 8.62/8.62 all V_r_2 V_b_2 V_a_2 T_a T_b (c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))).
% 8.62/8.62 all V_A_2 V_x_2 T_a (c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=c_Set_Oinsert(T_a,V_x_2,V_A_2)).
% 8.62/8.62 all V_A_2 V_y_2 V_x_2 T_a (c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_y_2,V_A_2))=c_Set_Oinsert(T_a,V_y_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))).
% 8.62/8.62 all V_x_2 V_A_2 V_y_2 T_a (hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))<->V_y_2=V_x_2|hBOOL(hAPP(V_A_2,V_x_2))).
% 8.62/8.62 all V_B_2 V_A_2 V_x_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)<->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))&c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 8.62/8.62 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))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,V_B_2))<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 8.62/8.62 all V_B_2 V_A_2 V_a_2 T_a ((hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))& (-hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.62/8.62 all V_B_2 V_C_2 V_a_2 T_a ((hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)))& (-hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))).
% 8.62/8.62 all V_B_2 V_A_2 V_a_2 T_a (-hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.62/8.62 all V_B_2 V_C_2 V_a_2 T_a (-hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)).
% 8.62/8.62 all V_B_2 V_A_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.62/8.62 all V_B_2 V_C_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))).
% 8.62/8.62 all V_A_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))).
% 8.62/8.62 all V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_OId__on(T_a,V_A_2),c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2))).
% 8.62/8.62 all V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)<->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))& (all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_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))))).
% 8.62/8.62 all V_B_2 V_b_2 T_b V_A_2 V_a_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))-> (hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))))).
% 8.62/8.62 all V_B_2 V_A_2 T_b V_C_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),c_Product__Type_OSigma(T_b,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)),c_Product__Type_OSigma(T_b,T_a,V_B_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)))<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2))).
% 8.62/8.62 all V_B_2 V_A_2 V_b_2 V_a_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))<->hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))&hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))).
% 8.62/8.62 all V_b_H V_a_H V_b V_a T_b T_a (hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)-> -(V_a=V_a_H->V_b!=V_b_H)).
% 8.62/8.62 all V_b_H_2 V_a_H_2 V_b_2 V_a_2 T_b T_a (hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2)<->V_a_2=V_a_H_2&V_b_2=V_b_H_2).
% 8.62/8.62 all T_b T_a V_P_2 ((all B_x1 hBOOL(hAPP(V_P_2,B_x1)))<-> (all B_a B_b hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))))).
% 8.62/8.62 all V_B_2 V_A_2 T_b V_C_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))-> (c_Product__Type_OSigma(T_b,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2))=c_Product__Type_OSigma(T_b,T_a,V_B_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2))<->V_A_2=V_B_2)).
% 8.62/8.62 all T_b T_a (c_Product__Type_OSigma(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))).
% 8.62/8.62 all V_B_2 V_A_2 V_I_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,V_I_2,hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_A_2)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_B_2))).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))),c_Product__Type_OSigma(T_a,T_b,V_B_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2)))).
% 8.62/8.62 all V_C_2 V_J_2 V_I_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_C_2)),c_Product__Type_OSigma(T_a,T_b,V_J_2,V_C_2))).
% 8.62/8.62 all V_B_2 V_A_2 V_b_2 V_a_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))-> -(hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))-> -hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))))).
% 8.62/8.62 all V_B_2 V_A_2 V_b_2 V_a_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))->hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))).
% 8.62/8.62 all V_B_2 V_A_2 V_b_2 V_a_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))->hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))).
% 8.62/8.62 all V_A_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))-> ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_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))))->c_Relation_Orefl__on(T_a,V_A_2,V_r_2))).
% 8.62/8.62 all V_b_2 V_a_2 V_f1_2 T_a T_c T_b (c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))=hAPP(hAPP(V_f1_2,V_a_2),V_b_2)).
% 8.62/8.62 all V_T_2 V_f_2 T_b V_S_2 V_x_2 T_a (-hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,c_Set_Oinsert(T_a,V_x_2,V_S_2),V_T_2)))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,c_HOL_Oundefined(T_b))),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2))))).
% 8.62/8.62 all V_x_2 V_S_2 V_f_2 T_b V_T_2 V_y_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_T_2))-> (hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_a)),V_f_2),c_FuncSet_Oextensional__funcset(T_b,T_a,V_S_2,V_T_2)))->hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_a)),c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2)),c_FuncSet_Oextensional__funcset(T_b,T_a,c_Set_Oinsert(T_b,V_x_2,V_S_2),V_T_2))))).
% 8.62/8.62 all V_x_2 V_f_2 T_b T_a (c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,hAPP(V_f_2,V_x_2))=V_f_2).
% 8.62/8.62 all V_B_2 V_A_2 V_c_2 T_b T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_c_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))-> -(all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))-> (all B_y (hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(V_B_2,B_x)))->V_c_2!=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)))))).
% 8.62/8.62 all V_D_2 V_B_2 T_b V_C_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)-> ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),hAPP(V_B_2,B_x),hAPP(V_D_2,B_x))))->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2),c_Product__Type_OSigma(T_a,T_b,V_C_2,V_D_2)))).
% 8.62/8.62 all V_y_2 V_x_2 V_f_2 T_b T_a (c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2)=V_f_2<->hAPP(V_f_2,V_x_2)=V_y_2).
% 8.62/8.62 all V_z_2 V_y_2 V_x_2 V_f_2 T_b T_a (c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2)=c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_z_2)).
% 8.62/8.62 all V_y_2 V_x_2 V_f_2 T_a T_b (hAPP(c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2),V_x_2)=V_y_2).
% 8.62/8.62 all V_y_2 V_f_2 T_b T_a V_x_2 V_z_2 ((V_z_2=V_x_2->hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2)=V_y_2)& (V_z_2!=V_x_2->hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2)=hAPP(V_f_2,V_z_2))).
% 8.62/8.62 all V_d_2 V_b_2 V_m_2 T_b T_a V_c_2 V_a_2 (V_a_2!=V_c_2->c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2)=c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2)).
% 8.62/8.62 all V_y_2 V_f_2 T_b T_a V_x_2 V_z_2 (V_z_2!=V_x_2->hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2)=hAPP(V_f_2,V_z_2)).
% 8.62/8.62 all T_a T_b V_y_2 V_x_2 V_f_2 (hAPP(V_f_2,V_x_2)=V_y_2->c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2)=V_f_2).
% 8.62/8.62 all V_b_2 V_f_2 T_b T_a V_a_2 V_x_2 ((V_x_2=V_a_2->hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_a_2,V_b_2),V_x_2)=V_b_2)& (V_x_2!=V_a_2->hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_a_2,V_b_2),V_x_2)=hAPP(V_f_2,V_x_2))).
% 8.62/8.62 all V_b_2 V_a_2 V_c_2 T_a T_c T_b (c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))=hAPP(hAPP(V_c_2,V_a_2),V_b_2)).
% 8.62/8.62 all V_B_2 V_b_2 V_A_2 V_a_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,c_Set_Oinsert(T_a,V_a_2,V_A_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Set_Oinsert(T_b,V_b_2,V_B_2)))=c_Set_Oinsert(tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Set_Oinsert(T_b,V_b_2,V_B_2)))),c_Product__Type_OSigma(T_a,T_b,c_Set_Oinsert(T_a,V_a_2,V_A_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))).
% 8.62/8.62 all V_y_2 V_x_2 V_c_2 T_a T_c T_b (c_Product__Type_Ocurry(T_b,T_c,T_a,V_c_2,V_x_2,V_y_2)=hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))).
% 8.62/8.62 all V_b_2 V_a_2 T_b T_a V_f_2 (hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))->hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))).
% 8.62/8.62 all V_x_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))-> (-hBOOL(hAPP(V_A_2,V_x_2))->hBOOL(hAPP(V_B_2,V_x_2)))).
% 8.62/8.62 all T_a V_A_2 V_x_2 V_B_2 ((-hBOOL(hAPP(V_B_2,V_x_2))->hBOOL(hAPP(V_A_2,V_x_2)))->hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))).
% 8.62/8.62 all V_A_2 V_B_2 V_c_2 T_a ((-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),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))).
% 8.62/8.62 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)))).
% 8.62/8.62 all V_B_2 V_A_2 V_I_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,V_I_2,hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_A_2)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_B_2))).
% 8.62/8.62 all V_B_2 V_a_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.62/8.62 all V_C_2 V_B_2 V_a_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))),c_Product__Type_OSigma(T_a,T_b,V_B_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2)))).
% 8.62/8.62 all V_C_2 V_J_2 V_I_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_C_2)),c_Product__Type_OSigma(T_a,T_b,V_J_2,V_C_2))).
% 8.62/8.62 all V_A_2 V_B_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))->hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))).
% 8.62/8.62 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),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))).
% 8.62/8.62 all V_B_2 V_A_2 V_c_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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))).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))).
% 8.62/8.62 all V_A_2 V_C_2 V_B_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))).
% 8.62/8.62 all V_A_2 V_C_2 V_B_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))).
% 8.62/8.62 all V_S_2 V_R_2 T_a (c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2)))=c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.62/8.62 all V_x_2 V_S_2 V_R_2 T_a (hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)),V_x_2))<->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2)))).
% 8.62/8.62 all V_s_2 V_B_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_Relation_Orefl__on(T_a,V_B_2,V_s_2)->c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)))).
% 8.62/8.62 all V_B_2 V_A_2 T_a T_b (c_Relation_ORange(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ORange(T_b,T_a,V_A_2)),c_Relation_ORange(T_b,T_a,V_B_2))).
% 8.62/8.62 all V_a T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a)=V_a).
% 8.62/8.62 all V_x T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x)=V_x).
% 8.62/8.62 all V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)).
% 8.62/8.62 all V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)).
% 8.62/8.62 all V_c V_a V_b T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z))).
% 8.62/8.62 all V_c V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))).
% 8.62/8.62 all V_x_2 V_g_2 V_f_2 T_b T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))).
% 8.62/8.62 all V_x_2 V_g_2 V_f_2 T_b T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))).
% 8.62/8.62 all V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)=V_A_2).
% 8.62/8.62 all V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)).
% 8.62/8.62 all V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))).
% 8.62/8.62 all V_P_2 V_B_2 V_A_2 T_a ((exists B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))&hBOOL(hAPP(V_P_2,B_x))))<-> (exists B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))&hBOOL(hAPP(V_P_2,B_x))))| (exists B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))&hBOOL(hAPP(V_P_2,B_x))))).
% 8.62/8.62 all V_P_2 V_B_2 V_A_2 T_a ((all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))->hBOOL(hAPP(V_P_2,B_x))))<-> (all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))->hBOOL(hAPP(V_P_2,B_x))))& (all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))->hBOOL(hAPP(V_P_2,B_x))))).
% 8.62/8.62 all V_B_2 T_a V_x_2 V_A_2 (hBOOL(hAPP(V_A_2,V_x_2))->hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))).
% 8.62/8.62 all V_A_2 T_a V_x_2 V_B_2 (hBOOL(hAPP(V_B_2,V_x_2))->hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))).
% 8.62/8.62 all V_B_2 V_A_2 T_b T_a (c_Relation_ODomain(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_b,V_A_2)),c_Relation_ODomain(T_a,T_b,V_B_2))).
% 8.62/8.62 all V_x V_z V_y T_a (class_Lattices_Odistrib__lattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x))).
% 8.62/8.62 all V_x V_z V_y T_a (class_Lattices_Odistrib__lattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Odistrib__lattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Odistrib__lattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y))=V_x).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))=V_x).
% 8.62/8.62 all V_x T_a (class_Lattices_Olattice(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x)=V_x).
% 8.62/8.62 all V_B_2 V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.62/8.62 all V_A_2 V_B_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.62/8.62 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)<->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2).
% 8.62/8.62 all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2).
% 8.62/8.62 all V_A_2 V_B_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_A_2).
% 8.62/8.62 all V_B_2 V_C_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_C_2))).
% 8.62/8.62 all V_D_2 V_B_2 V_C_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)))).
% 8.62/8.62 all V_x V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),V_x)-> -(c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)-> -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)))).
% 8.62/8.62 all V_d V_b V_c V_a T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_d)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d))))).
% 8.62/8.62 all V_z V_x V_y T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z),V_x)))).
% 8.62/8.62 all V_b V_x V_a T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),V_x)))).
% 8.62/8.62 all V_x V_y T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)=V_x)).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)=V_y)).
% 8.62/8.62 all V_a V_b V_x T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)))).
% 8.62/8.62 all V_b V_a V_x T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)))).
% 8.62/8.62 all V_z_2 V_y_2 V_x_2 T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2),V_z_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_z_2))).
% 8.62/8.62 all V_y_2 V_x_2 T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)=V_y_2)).
% 8.62/8.62 all V_x V_y T_a (class_Lattices_Osemilattice__sup(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))).
% 8.62/8.62 all V_x V_y T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))).
% 8.62/8.62 all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)))).
% 8.62/8.62 all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)))).
% 8.62/8.62 all V_B_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_x T_a (class_Lattices_Obounded__lattice__top(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=c_Orderings_Otop__class_Otop(T_a)).
% 8.62/8.62 all V_x T_a (class_Lattices_Obounded__lattice__top(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=c_Orderings_Otop__class_Otop(T_a)).
% 8.62/8.62 all V_C_2 V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)).
% 8.62/8.62 all V_S_2 V_R_2 V_x_2 T_a (hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2)))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))))).
% 8.62/8.62 all V_S_2 V_R_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.62/8.62 all V_b_2 V_a_2 V_f_2 T_b T_a (hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))->hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))).
% 8.62/8.62 all V_b_2 V_a_2 V_f_2 T_b T_a (hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))->hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))).
% 8.62/8.62 all V_b_2 V_a_2 V_f_2 T_a T_c T_b (c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2,V_a_2,V_b_2)=hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))).
% 8.62/8.62 all V_Q_2 V_P_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_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),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_a,V_P_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_x),B_y)),V_Q_2))->B_x=B_y))))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))))).
% 8.62/8.62 all V_Q_2 V_P_2 V_b_2 V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_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_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_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),B_x)),V_Q_2))->B_y=B_x))))->hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))))).
% 8.62/8.62 all V_r_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Product__Type_OSigma(T_a,T_a,c_Relation_OField(T_a,V_r_2),c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,c_Relation_OField(T_a,V_r_2)))).
% 8.62/8.62 all V_S_2 V_R_2 T_a (c_Transitive__Closure_Ortranclp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),c_Transitive__Closure_Ortranclp(T_a,V_R_2)),c_Transitive__Closure_Ortranclp(T_a,V_S_2)))=c_Transitive__Closure_Ortranclp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R_2),V_S_2))).
% 8.62/8.62 all V_R_2 T_a (c_Transitive__Closure_Ortranclp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R_2),c_fe_qual))=c_Transitive__Closure_Ortranclp(T_a,V_R_2)).
% 8.62/8.62 all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a,V_r_2),c_Relation_OField(T_a,V_s_2))).
% 8.62/8.62 all V_s_2 V_r_2 T_a (c_Relation_OField(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OField(T_a,V_r_2)),c_Relation_OField(T_a,V_s_2))).
% 8.62/8.62 all V_y_2 V_x_2 V_S_2 V_R_2 T_b T_a (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)),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)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))).
% 8.62/8.62 all V_r_2 T_a (c_Relation_OField(T_a,V_r_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_a,V_r_2)),c_Relation_ORange(T_a,T_a,V_r_2))).
% 8.62/8.62 all V_r_2 V_b_2 V_a_2 T_a (c_Relation_OField(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2),V_r_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),c_Relation_OField(T_a,V_r_2))).
% 8.62/8.62 all V_y_2 V_x_2 V_r_2 T_a (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),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)),c_fe_qual),V_x_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)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))))).
% 8.62/8.62 all V_y_2 V_x_2 V_B_2 V_A_2 T_b T_a (hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))-> (-hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))->hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)))).
% 8.62/8.62 all T_b T_a V_A_2 V_y_2 V_x_2 V_B_2 ((-hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))->hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)))->hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))).
% 8.62/8.62 all V_a_2 T_a (-hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 8.62/8.62 all V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2).
% 8.62/8.62 all V_a_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_a_2),V_a_2)),c_Relation_OId(T_a))).
% 8.62/8.62 all V_x T_a (class_Lattices_Obounded__lattice__bot(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x).
% 8.62/8.62 all V_x T_a (class_Lattices_Obounded__lattice__bot(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x).
% 8.62/8.62 all V_y_2 V_x_2 T_a (class_Lattices_Obounded__lattice__bot(T_a)-> (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)=c_Orderings_Obot__class_Obot(T_a)<->V_x_2=c_Orderings_Obot__class_Obot(T_a)&V_y_2=c_Orderings_Obot__class_Obot(T_a))).
% 8.62/8.62 all V_B_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2)=V_B_2).
% 8.62/8.62 all V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=V_A_2).
% 8.62/8.62 all V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))&V_B_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_B_2 T_b T_a V_y_2 V_x_2 V_A_2 (hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))->hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))).
% 8.62/8.62 all V_A_2 T_b T_a V_y_2 V_x_2 V_B_2 (hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))->hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))).
% 8.62/8.62 all T_a (c_Relation_OField(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_a_2 V_b_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))->V_b_2=V_a_2).
% 8.62/8.62 all V_a_2 V_b_2 T_a (hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))<->V_b_2=V_a_2).
% 8.62/8.62 all V_x_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_A_2=c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 8.62/8.62 all V_A_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,V_A_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2)).
% 8.62/8.62 all V_b_2 V_a_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_a_2),V_b_2)),c_Relation_OId(T_a)))<->V_a_2=V_b_2).
% 8.62/8.62 all V_B_2 T_b T_a (c_FuncSet_OPi(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))).
% 8.62/8.62 all V_A_2 V_a_2 T_a (c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_a_2,V_A_2)).
% 8.62/8.62 all V_A_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_A_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))).
% 8.62/8.62 all V_B_2 V_A_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_B_2=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))).
% 8.62/8.62 all V_d_2 V_c_2 V_b_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_a_2=V_c_2&V_b_2=V_d_2|V_a_2=V_d_2&V_b_2=V_c_2).
% 8.62/8.62 all V_b_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))->V_a_2=V_b_2).
% 8.62/8.62 all V_B_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))).
% 8.62/8.62 all T_b T_a (c_FuncSet_Oextensional(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Set_Oinsert(tc_fun(T_a,T_b),c_COMBK(T_b,T_a,c_HOL_Oundefined(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)))).
% 8.62/8.62 all V_T_2 T_b T_a (c_FuncSet_Oextensional__funcset(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_T_2)=c_Set_Oinsert(tc_fun(T_a,T_b),c_COMBK(T_b,T_a,c_HOL_Oundefined(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)))).
% 8.62/8.62 all V_x T_a (class_Lattices_Obounded__lattice__bot(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a)).
% 8.62/8.62 all V_x T_a (class_Lattices_Obounded__lattice__bot(T_a)->hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a)).
% 8.62/8.62 all T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 8.62/8.62 all V_a_2 T_a V_A_2 (V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))-> -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))).
% 8.62/8.62 all V_c_2 T_a (-hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 8.62/8.62 all V_A_2 T_a ((exists B_x hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)))<->V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_A_2 T_a ((all B_x (-hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_B_2 V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))<-> (all B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))-> (all B_xa (hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2))->B_x!=B_xa))))).
% 8.62/8.62 all V_A_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all V_B_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.62/8.62 all T_a (c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 8.62/8.62 all V_x_2 T_a (hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))<->hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 8.65/8.64 all T_a c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 8.65/8.64 all V_r_2 T_a T_b (c_Relation_ORange(T_b,T_a,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))<->V_r_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool))).
% 8.65/8.64 all T_a T_b (c_Relation_ORange(T_b,T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.65/8.64 all T_a (c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 8.65/8.64 all T_a (c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Relation_OId(T_a)).
% 8.65/8.64 all V_B_2 V_A_2 T_b T_a (c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))<-> (exists B_x (hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))&hAPP(V_B_2,B_x)=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))).
% 8.65/8.64 all T_b T_a V_S_2 (V_S_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))->c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))).
% 8.65/8.64 all V_x_2 T_b T_a (class_Orderings_Obot(T_a)->hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Obot__class_Obot(T_a)).
% 8.65/8.64 all V_x_2 T_b T_a (class_Orderings_Obot(T_a)->hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Obot__class_Obot(T_a)).
% 8.65/8.64 all V_r_2 T_b T_a (c_Relation_ODomain(T_a,T_b,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))<->V_r_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))).
% 8.65/8.64 all T_b T_a (c_Relation_ODomain(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.65/8.64 all V_x T_a (class_Orderings_Obot(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Orderings_Obot__class_Obot(T_a),V_x)).
% 8.65/8.64 all V_r_2 T_a c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2).
% 8.65/8.64 all V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.65/8.64 all V_B_2 T_a V_A_2 (V_A_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_A_2,V_B_2)).
% 8.65/8.64 all T_a (c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.65/8.64 all T_a (c_Relation_ODomain(T_a,T_a,c_Relation_OId(T_a))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 8.65/8.64 all V_R_2 T_a (c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_a)))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 8.65/8.64 all V_R_2 T_a (hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 8.65/8.64 class_Lattices_Obounded__lattice(tc_HOL_Obool).
% 8.65/8.64 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Lattices_Odistrib__lattice(T_1)->class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Orderings_Opreorder(T_1)->class_Orderings_Opreorder(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Olattice(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Orderings_Oorder(T_1)->class_Orderings_Oorder(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Orderings_Otop(T_1)->class_Orderings_Otop(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Orderings_Oord(T_1)->class_Orderings_Oord(tc_fun(T_2,T_1))).
% 8.65/8.64 all T_2 T_1 (class_Orderings_Obot(T_1)->class_Orderings_Obot(tc_fun(T_2,T_1))).
% 8.65/8.64 class_Lattices_Osemilattice__sup(tc_Nat_Onat).
% 8.65/8.64 class_Lattices_Osemilattice__inf(tc_Nat_Onat).
% 8.65/8.64 class_Lattices_Odistrib__lattice(tc_Nat_Onat).
% 8.65/8.64 class_Orderings_Opreorder(tc_Nat_Onat).
% 8.65/8.64 class_Orderings_Olinorder(tc_Nat_Onat).
% 8.65/8.64 class_Lattices_Olattice(tc_Nat_Onat).
% 8.65/8.64 class_Orderings_Oorder(tc_Nat_Onat).
% 8.65/8.64 class_Orderings_Oord(tc_Nat_Onat).
% 8.65/8.64 class_Orderings_Obot(tc_Nat_Onat).
% 8.65/8.64 class_Lattices_Obounded__lattice__top(tc_HOL_Obool).
% 8.65/8.64 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool).
% 8.65/8.64 class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 8.65/8.64 class_Lattices_Osemilattice__inf(tc_HOL_Obool).
% 8.65/8.64 class_Lattices_Odistrib__lattice(tc_HOL_Obool).
% 8.65/8.64 class_Orderings_Opreorder(tc_HOL_Obool).
% 8.65/8.64 class_Lattices_Olattice(tc_HOL_Obool).
% 8.65/8.64 class_Orderings_Oorder(tc_HOL_Obool).
% 8.65/8.64 class_Orderings_Otop(tc_HOL_Obool).
% 8.65/8.64 class_Orderings_Oord(tc_HOL_Obool).
% 8.65/8.64 class_Orderings_Obot(tc_HOL_Obool).
% 8.65/8.64 all V_P T_a (hAPP(c_COMBI(T_a),V_P)=V_P).
% 8.65/8.64 all V_Q V_P T_b T_a (hAPP(c_COMBK(T_a,T_b,V_P),V_Q)=V_P).
% 8.65/8.64 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))).
% 8.65/8.64 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)).
% 8.65/8.64 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))).
% 8.65/8.64 all V_y_2 V_x_2 (-hBOOL(hAPP(hAPP(c_fe_qual,V_x_2),V_y_2))|V_x_2=V_y_2).
% 8.65/8.64 all V_y_2 V_x_2 (V_x_2!=V_y_2|hBOOL(hAPP(hAPP(c_fe_qual,V_x_2),V_y_2))).
% 8.65/8.64 all V_P_2 (-hBOOL(hAPP(c_fNot,V_P_2))| -hBOOL(V_P_2)).
% 8.65/8.64 all V_P_2 (-(-hBOOL(V_P_2))|hBOOL(hAPP(c_fNot,V_P_2))).
% 8.65/8.64 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)))).
% 8.65/8.64 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)))->hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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_F,B_x))))))).
% 8.65/8.64 -c_Arrow__Order__Mirabelle_Odictator(v_F,v_i).
% 8.65/8.64 end_of_list.
% 8.65/8.64
% 8.65/8.64 -------> usable clausifies to:
% 8.65/8.64
% 8.65/8.64 list(usable).
% 8.65/8.64 0 [] A=A.
% 8.65/8.64 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.
% 8.65/8.64 0 [] -c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_ia_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_ia_2).
% 8.65/8.64 0 [] c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_ia_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))),$f2(V_ia_2,V_Fa_2)),c_Arrow__Order__Mirabelle_OProf)).
% 8.65/8.64 0 [] c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_ia_2)|hAPP(V_Fa_2,$f2(V_ia_2,V_Fa_2))!=hAPP($f2(V_ia_2,V_Fa_2),V_ia_2).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 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))).
% 8.65/8.64 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)))).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 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.
% 8.65/8.64 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.
% 8.65/8.64 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.
% 8.65/8.64 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.
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 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.
% 8.65/8.64 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)).
% 8.65/8.64 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.
% 8.65/8.64 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.
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 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.
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 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))).
% 8.65/8.64 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.
% 8.65/8.64 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.
% 8.65/8.64 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)).
% 8.65/8.64 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),$f3(V_r_2,T_a)),$f3(V_r_2,T_a))),V_r_2)).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 0 [] V_a_2!=V_b_2| -hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fe_qual,V_y_2)))|V_x_2=V_y_2.
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fe_qual,V_y_2)))|V_x_2!=V_y_2.
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|hBOOL(hAPP(V_A_2,V_x_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))| -hBOOL(hAPP(V_A_2,V_x_2)).
% 8.65/8.64 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_a_2),V_b_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_b_2),V_a_2)),V_L_2)).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2!=V_y_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_y_2!=V_a_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_b_2)),V_L_2)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_y_2=V_a_2|V_x_2!=V_a_2|V_y_2=V_b_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_b_2),V_y_2)),V_L_2)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_y_2=V_a_2|V_x_2=V_a_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_y_2=V_a_2|V_x_2=V_a_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_y_2=V_a_2|V_y_2!=V_b_2|V_x_2!=V_a_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_y_2=V_a_2|V_y_2!=V_b_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_y_2=V_a_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_b_2),V_y_2)),V_L_2))|V_x_2!=V_a_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_y_2=V_a_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_b_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_b_2)),V_L_2))|V_y_2!=V_a_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_b_2)),V_L_2))|V_x_2=V_a_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_b_2)),V_L_2))|V_y_2!=V_b_2|V_x_2!=V_a_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_b_2)),V_L_2))|V_y_2!=V_b_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_b_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_b_2),V_y_2)),V_L_2))|V_x_2!=V_a_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_b_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_b_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2!=V_y_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2!=V_b_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_2),V_y_2)),V_L_2)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_b_2|V_y_2!=V_b_2|V_x_2=V_a_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_a_2)),V_L_2)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_b_2|V_y_2=V_b_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_x_2=V_b_2|V_y_2=V_b_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_x_2=V_b_2|V_x_2!=V_a_2|V_y_2!=V_b_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_x_2=V_b_2|V_x_2!=V_a_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_x_2=V_b_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_a_2)),V_L_2))|V_y_2!=V_b_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_2)))|V_x_2=V_y_2|V_x_2=V_b_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_a_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_a_2),V_y_2)),V_L_2))|V_x_2!=V_b_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_a_2),V_y_2)),V_L_2))|V_y_2=V_b_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_a_2),V_y_2)),V_L_2))|V_x_2!=V_a_2|V_y_2!=V_b_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_a_2),V_y_2)),V_L_2))|V_x_2!=V_a_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)).
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_a_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_a_2)),V_L_2))|V_y_2!=V_b_2.
% 8.65/8.64 0 [] V_a_2=V_b_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_a_2,V_b_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_a_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_a_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)).
% 8.65/8.64 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_a_2),V_b_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_a_2),V_a_H_2)),V_r_2))|V_a_2=V_a_H_2.
% 8.65/8.64 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_a_2),V_b_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_a_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_b_2),V_b_H_2)),V_s_2)).
% 8.65/8.64 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_a_2),V_b_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_a_2),V_a_H_2)),V_r_2)).
% 8.65/8.64 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_a_2),V_b_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_a_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_b_2),V_b_H_2)),V_s_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f4(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))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$f4(V_B_2,V_f_2,T_b,V_A_2,T_a))),hAPP(V_B_2,$f4(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))).
% 8.65/8.64 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)).
% 8.65/8.64 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)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f5(V_B_2,V_f_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$f5(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)))).
% 8.65/8.64 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,$f6(V_Fa_2,B_x,B_xa,B_a,B_b))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,$f6(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))).
% 8.65/8.64 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,$f6(V_Fa_2,B_x,B_xa,B_a,B_b))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,$f6(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))).
% 8.65/8.64 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,$f6(V_Fa_2,B_x,B_xa,B_a,B_b))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,$f6(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))).
% 8.65/8.64 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,$f6(V_Fa_2,B_x,B_xa,B_a,B_b))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(B_xa,$f6(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))).
% 8.65/8.64 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))),$f10(V_Fa_2)),c_Arrow__Order__Mirabelle_OProf)).
% 8.65/8.64 0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),$f9(V_Fa_2)),c_Arrow__Order__Mirabelle_OProf)).
% 8.65/8.64 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),$f8(V_Fa_2)),$f7(V_Fa_2))),hAPP($f10(V_Fa_2),B_i)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(V_Fa_2)),$f7(V_Fa_2))),hAPP($f9(V_Fa_2),B_i))).
% 8.65/8.64 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),$f8(V_Fa_2)),$f7(V_Fa_2))),hAPP($f10(V_Fa_2),B_i)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(V_Fa_2)),$f7(V_Fa_2))),hAPP($f9(V_Fa_2),B_i))).
% 8.65/8.64 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),$f8(V_Fa_2)),$f7(V_Fa_2))),hAPP(V_Fa_2,$f10(V_Fa_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(V_Fa_2)),$f7(V_Fa_2))),hAPP(V_Fa_2,$f9(V_Fa_2)))).
% 8.65/8.64 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),$f8(V_Fa_2)),$f7(V_Fa_2))),hAPP(V_Fa_2,$f10(V_Fa_2))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(V_Fa_2)),$f7(V_Fa_2))),hAPP(V_Fa_2,$f9(V_Fa_2)))).
% 8.65/8.64 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,$f11(V_Fa_2,B_x,B_a,B_b))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),B_a),B_b)),hAPP(V_Fa_2,B_x))).
% 8.65/8.64 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),$f14(V_Fa_2)),c_Arrow__Order__Mirabelle_OProf)).
% 8.65/8.64 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),$f13(V_Fa_2)),$f12(V_Fa_2))),hAPP($f14(V_Fa_2),B_i))).
% 8.65/8.64 0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f13(V_Fa_2)),$f12(V_Fa_2))),hAPP(V_Fa_2,$f14(V_Fa_2)))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f15(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a)),V_A_2))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f15(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))).
% 8.65/8.64 0 [] hAPP(V_f_2,$f15(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a))!=hAPP(V_g_2,$f15(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))).
% 8.65/8.64 0 [] hAPP(V_f_2,$f15(V_B_2,T_b,V_g_2,V_f_2,V_A_2,T_a))!=hAPP(V_g_2,$f15(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))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f16(V_B_2,V_f_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$f16(V_B_2,V_f_2,T_b,V_A_2,T_a))),hAPP(V_B_2,$f16(V_B_2,V_f_2,T_b,V_A_2,T_a))))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_c)),V_g_2),c_FuncSet_OPi(T_b,T_c,V_B_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b,V_C_2))))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_c)),c_FuncSet_Ocompose(T_a,T_b,T_c,V_A_2,V_g_2,V_f_2)),c_FuncSet_OPi(T_a,T_c,V_A_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a,V_C_2)))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_c)),V_g_2),c_FuncSet_OPi(T_b,T_c,V_B_2,c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b,V_C_2))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,T_d)),V_h_2),c_FuncSet_OPi(T_c,T_d,V_C_2,c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c,V_D_2))))|c_FuncSet_Ocompose(T_a,T_c,T_d,V_A_2,V_h_2,c_FuncSet_Ocompose(T_a,T_b,T_c,V_A_2,V_g_2,V_f_2))=c_FuncSet_Ocompose(T_a,T_b,T_d,V_A_2,c_FuncSet_Ocompose(T_b,T_c,T_d,V_B_2,V_h_2,V_g_2),V_f_2).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_a_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f17(V_r_2,V_a_2,T_a)),V_a_2)),V_r_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),$f17(V_r_2,V_a_2,T_a)),c_Wellfounded_Oacc(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 8.65/8.64 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)=hAPP(hAPP(V_Fa_2,$f18(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a)),V_a1_2).
% 8.65/8.64 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_a1_2)),V_R_2))|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP($f18(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a),B_z)).
% 8.65/8.64 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f19(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g)),V_a1_2)),V_R_2)).
% 8.65/8.64 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f19(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f19(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g))).
% 8.65/8.64 0 [] c_Arrow__Order__Mirabelle_OProf=c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),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_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin)).
% 8.65/8.64 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_a_2)),B_R))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),B_f),B_R),V_a_2),V_x_2)=hAPP(B_f,V_x_2).
% 8.65/8.64 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).
% 8.65/8.64 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),$f20(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a)),V_x_2)),V_r_2)).
% 8.65/8.64 0 [] hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_x_2)=hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_g_2),V_r_2),V_x_2)|hAPP(V_f_2,$f20(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a))!=hAPP(V_g_2,$f20(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(T_a,T_b),V_f_2),V_r_2),V_a_2),V_x_2)=hAPP(V_f_2,V_x_2).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$c1),c_Arrow__Order__Mirabelle_OLin)).
% 8.65/8.64 0 [] hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))).
% 8.65/8.64 0 [] c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)).
% 8.65/8.64 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)).
% 8.65/8.64 0 [] -class_Orderings_Otop(T_a)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Otop__class_Otop(T_a).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))).
% 8.65/8.64 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))).
% 8.65/8.64 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))).
% 8.65/8.64 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))).
% 8.65/8.64 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),$f21(V_R_2,V_x_2,T_a)),V_x_2)),V_R_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),$f21(V_R_2,V_x_2,T_a)),c_Wellfounded_Oacc(T_a,V_R_2))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f22(V_r_2,V_x_2,T_a)),V_x_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),$f22(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))).
% 8.65/8.64 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).
% 8.65/8.64 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).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f23(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a)),V_x_2)),V_R_2))|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2,hAPP(hAPP(V_Fa_2,V_g_2),V_x_2)).
% 8.65/8.64 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f23(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a),hAPP(V_g_2,$f23(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a)))|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_x_2,hAPP(hAPP(V_Fa_2,V_g_2),V_x_2)).
% 8.65/8.64 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2=hAPP(hAPP(V_Fa_2,$f24(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a)),V_a1_2).
% 8.65/8.64 0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_a1_2)),V_R_2))|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP($f24(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a),B_z)).
% 8.65/8.64 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f25(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g)),V_a1_2)),V_R_2)).
% 8.65/8.64 0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f25(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f25(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g))).
% 8.65/8.64 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))).
% 8.65/8.64 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))| -hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))|hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)).
% 8.65/8.64 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))|hBOOL(hAPP(hAPP(V_r_2,$f26(V_a_2,V_r_2,T_a)),V_a_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))| -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),$f26(V_a_2,V_r_2,T_a))).
% 8.65/8.64 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))| -hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))|hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)).
% 8.65/8.64 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))|hBOOL(hAPP(hAPP(V_r_2,$f27(V_a_2,V_r_2,T_a)),V_a_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))| -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),$f27(V_a_2,V_r_2,T_a))).
% 8.65/8.64 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2))| -hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))|hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)).
% 8.65/8.64 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).
% 8.65/8.64 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.
% 8.65/8.64 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.
% 8.65/8.64 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),$f28(V_Fa_2,V_R_2,T_b,T_a,B_f,B_g,B_x)),B_x)),V_R_2))|hAPP(hAPP(V_Fa_2,B_f),B_x)=hAPP(hAPP(V_Fa_2,B_g),B_x).
% 8.65/8.64 0 [] -c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)|hAPP(B_f,$f28(V_Fa_2,V_R_2,T_b,T_a,B_f,B_g,B_x))!=hAPP(B_g,$f28(V_Fa_2,V_R_2,T_b,T_a,B_f,B_g,B_x))|hAPP(hAPP(V_Fa_2,B_f),B_x)=hAPP(hAPP(V_Fa_2,B_g),B_x).
% 8.65/8.64 0 [] c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),$f29(V_Fa_2,V_R_2,T_b,T_a))),V_R_2))|hAPP($f31(V_Fa_2,V_R_2,T_b,T_a),B_z)=hAPP($f30(V_Fa_2,V_R_2,T_b,T_a),B_z).
% 8.65/8.64 0 [] c_Recdef_Oadm__wf(T_a,T_b,V_R_2,V_Fa_2)|hAPP(hAPP(V_Fa_2,$f31(V_Fa_2,V_R_2,T_b,T_a)),$f29(V_Fa_2,V_R_2,T_b,T_a))!=hAPP(hAPP(V_Fa_2,$f30(V_Fa_2,V_R_2,T_b,T_a)),$f29(V_Fa_2,V_R_2,T_b,T_a)).
% 8.65/8.64 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).
% 8.65/8.64 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(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))|hBOOL(hAPP(hAPP(c_member(T_a),$f32(V_g_2,V_A_2,V_f_2,T_b,T_a)),V_A_2))|V_f_2=V_g_2.
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_g_2),c_FuncSet_Oextensional(T_a,T_b,V_A_2)))|hAPP(V_f_2,$f32(V_g_2,V_A_2,V_f_2,T_b,T_a))!=hAPP(V_g_2,$f32(V_g_2,V_A_2,V_f_2,T_b,T_a))|V_f_2=V_g_2.
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_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_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))).
% 8.65/8.64 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).
% 8.65/8.64 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).
% 8.65/8.64 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).
% 8.65/8.64 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).
% 8.65/8.64 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).
% 8.65/8.64 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))|hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),V_T_2)).
% 8.65/8.64 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.
% 8.65/8.64 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))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(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_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(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_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(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_b_2),V_c_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_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_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_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(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_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 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))).
% 8.65/8.64 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))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f34(V_B_2,V_f_2,T_b,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(T_a,T_b,V_f_2,V_A_2)),c_FuncSet_OPi(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,$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)))).
% 8.65/8.64 0 [] c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)),c_FuncSet_OPi(T_a,T_b,V_S_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_T_2))),c_FuncSet_Oextensional(T_a,T_b,V_S_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(V_A_2,V_x_2))| -hBOOL(hAPP(V_B_2,V_x_2))|hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))|hBOOL(hAPP(V_A_2,V_x_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))|hBOOL(hAPP(V_B_2,V_x_2)).
% 8.65/8.64 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),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)).
% 8.65/8.64 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)=V_A_2.
% 8.65/8.64 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2).
% 8.65/8.64 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2).
% 8.65/8.64 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)).
% 8.65/8.64 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))|hBOOL(hAPP(V_A_2,V_x_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))|hBOOL(hAPP(V_B_2,V_x_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)).
% 8.65/8.64 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2)=V_B_2.
% 8.65/8.64 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=V_A_2.
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)),V_x_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)),V_x_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.64 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))=c_Transitive__Closure_Ortrancl(T_a,V_r_2).
% 8.65/8.64 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)).
% 8.65/8.64 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)).
% 8.65/8.64 0 [] -class_Lattices_Obounded__lattice__top(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=V_x.
% 8.65/8.64 0 [] -class_Lattices_Obounded__lattice__top(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=V_x.
% 8.65/8.64 0 [] -class_Lattices_Obounded__lattice__top(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2)!=c_Orderings_Otop__class_Otop(T_a)|V_x_2=c_Orderings_Otop__class_Otop(T_a).
% 8.65/8.64 0 [] -class_Lattices_Obounded__lattice__top(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2)!=c_Orderings_Otop__class_Otop(T_a)|V_y_2=c_Orderings_Otop__class_Otop(T_a).
% 8.65/8.64 0 [] -class_Lattices_Obounded__lattice__top(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2)=c_Orderings_Otop__class_Otop(T_a)|V_x_2!=c_Orderings_Otop__class_Otop(T_a)|V_y_2!=c_Orderings_Otop__class_Otop(T_a).
% 8.65/8.64 0 [] -c_Relation_Osingle__valued(T_a,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_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(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_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(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_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(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_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,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_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))|V_x_2=V_y_2.
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,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_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))|V_x_2!=V_y_2.
% 8.65/8.64 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_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))|hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2)=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_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_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f36(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a)),$f35(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a)))),V_r_2)).
% 8.65/8.64 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_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))|hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_xa_2),V_xb_2)=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_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),$f36(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a)),$f35(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)),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)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)),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)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.64 0 [] c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a)=V_a.
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x)=V_x.
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a).
% 8.65/8.64 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x).
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x).
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b).
% 8.65/8.64 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y).
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y).
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)).
% 8.65/8.64 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)).
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)).
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)).
% 8.65/8.64 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)).
% 8.65/8.64 0 [] -class_Lattices_Osemilattice__inf(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ODomain(T_a,T_b,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ODomain(T_a,T_b,V_r_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),$f37(V_r_2,T_b,V_a_2,T_a))),V_r_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ODomain(T_a,T_b,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)).
% 8.65/8.64 0 [] -c_Relation_Osingle__valued(T_a,T_b,V_r_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_r_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_z_2)),V_r_2))|V_y_2=V_z_2.
% 8.65/8.64 0 [] -c_Relation_Osingle__valued(T_a,T_b,V_r_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2))|B_y=B_z.
% 8.65/8.64 0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f40(V_r_2,T_b,T_a)),$f39(V_r_2,T_b,T_a))),V_r_2)).
% 8.65/8.64 0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f40(V_r_2,T_b,T_a)),$f38(V_r_2,T_b,T_a))),V_r_2)).
% 8.65/8.64 0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|$f39(V_r_2,T_b,T_a)!=$f38(V_r_2,T_b,T_a).
% 8.65/8.64 0 [] -c_Predicate_ODomainP(T_a,T_b,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),V_x_2)|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,T_b,V_r_2))).
% 8.65/8.64 0 [] c_Predicate_ODomainP(T_a,T_b,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),V_x_2)| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Relation_ODomain(T_a,T_b,V_r_2))).
% 8.65/8.64 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_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))| -hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_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_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f44(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f43(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))| -hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f44(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f43(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f42(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f41(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))),V_r_2))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))| -hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))|hBOOL(hAPP(hAPP(V_P_2,$f44(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f43(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))| -hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))| -hBOOL(hAPP(hAPP(V_P_2,$f42(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f41(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))| -hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f48(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f47(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f46(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f45(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))),V_r_2))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))| -hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f46(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f45(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))| -hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))|hBOOL(hAPP(hAPP(V_P_2,$f46(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f45(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)))| -hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))| -hBOOL(hAPP(hAPP(V_P_2,$f48(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f47(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))| -hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))|hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))|hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))|c_Predicate_ODomainP(T_a,T_b,V_r_2,V_a_2).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))|hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))|hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)).
% 8.65/8.64 0 [] -c_Relation_Oirrefl(T_a,V_r_2)| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)).
% 8.65/8.64 0 [] c_Relation_Oirrefl(T_a,V_r_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f49(V_r_2,T_a)),$f49(V_r_2,T_a))),V_r_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ODomain(T_a,T_b,V_r_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),$f50(V_r_2,T_b,V_a_2,T_a))),V_r_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Relation_ORange(T_a,T_b,V_r_2))).
% 8.65/8.64 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_Relation_OId__on(T_a,V_A_2)))|V_x_2=V_y_2.
% 8.65/8.64 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_Relation_OId__on(T_a,V_A_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)).
% 8.65/8.64 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_Relation_OId__on(T_a,V_A_2)))|V_x_2!=V_y_2| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)).
% 8.65/8.64 0 [] V_a_2!=V_b_2| -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId__on(T_a,V_A_2))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f53(V_r_2,T_b,T_a)),$f52(V_r_2,T_b,T_a))),V_r_2))|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f53(V_r_2,T_b,T_a)),$f51(V_r_2,T_b,T_a))),V_r_2))|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 8.65/8.64 0 [] $f52(V_r_2,T_b,T_a)!=$f51(V_r_2,T_b,T_a)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 8.65/8.64 0 [] c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 8.65/8.64 0 [] c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 8.65/8.64 0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 8.65/8.64 0 [] c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ORange(T_b,T_a,V_r_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),$f54(V_r_2,T_b,V_a_2,T_a)),V_a_2)),V_r_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Relation_ORange(T_b,T_a,V_r_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_y),V_a_2)),V_r_2)).
% 8.65/8.64 0 [] -c_Predicate_ORangeP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2),V_x_2)|hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Relation_ORange(T_a,T_b,V_r_2))).
% 8.65/8.64 0 [] c_Predicate_ORangeP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a,c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b,c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2),V_x_2)| -hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Relation_ORange(T_a,T_b,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_c_2),c_Relation_OId__on(T_a,V_A_2)))|hBOOL(hAPP(hAPP(c_member(T_a),$f55(V_A_2,V_c_2,T_a)),V_A_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_c_2),c_Relation_OId__on(T_a,V_A_2)))|V_c_2=hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f55(V_A_2,V_c_2,T_a)),$f55(V_A_2,V_c_2,T_a)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Relation_ORange(T_b,T_a,V_r_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),$f56(V_r_2,T_b,V_b_2,T_a)),V_b_2)),V_r_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))|V_a_2=V_b_2|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),$f57(V_r_2,V_b_2,V_a_2,T_a))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))|V_a_2=V_b_2|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f57(V_r_2,V_b_2,V_a_2,T_a)),V_b_2)),V_r_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))|V_x_2=V_z_2|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),$f58(V_r_2,V_z_2,V_x_2,T_a))),V_r_2)).
% 8.65/8.64 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_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))|V_x_2=V_z_2|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f58(V_r_2,V_z_2,V_x_2,T_a)),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(V_P_2,V_b_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f60(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),$f59(V_P_2,V_r_2,V_b_2,V_a_2,T_a))),V_r_2))|hBOOL(hAPP(V_P_2,V_a_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(V_P_2,V_b_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f59(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))|hBOOL(hAPP(V_P_2,V_a_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(V_P_2,V_b_2))|hBOOL(hAPP(V_P_2,$f59(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_a_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(V_P_2,V_b_2))| -hBOOL(hAPP(V_P_2,$f60(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_a_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))|c_Predicate_ORangeP(T_a,T_b,V_r_2,V_b_2).
% 8.65/8.64 0 [] -c_Predicate_ORangeP(T_a,T_b,V_r_2,V_a2_2)|hBOOL(hAPP(hAPP(V_r_2,$f61(V_a2_2,V_r_2,T_b,T_a)),V_a2_2)).
% 8.65/8.64 0 [] c_Predicate_ORangeP(T_a,T_b,V_r_2,V_a2_2)| -hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(V_P_2,V_a_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),$f63(V_P_2,V_r_2,V_b_2,V_a_2,T_a))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))|hBOOL(hAPP(V_P_2,V_b_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(V_P_2,V_a_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f63(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),$f62(V_P_2,V_r_2,V_b_2,V_a_2,T_a))),V_r_2))|hBOOL(hAPP(V_P_2,V_b_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(V_P_2,V_a_2))|hBOOL(hAPP(V_P_2,$f63(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_b_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -hBOOL(hAPP(V_P_2,V_a_2))| -hBOOL(hAPP(V_P_2,$f62(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_b_2)).
% 8.65/8.64 0 [] -c_Relation_Ototal__on(T_a,V_A_2,V_r_2)| -hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))| -hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))|B_x=B_xa|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),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_xa),B_x)),V_r_2)).
% 8.65/8.64 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|hBOOL(hAPP(hAPP(c_member(T_a),$f65(V_r_2,V_A_2,T_a)),V_A_2)).
% 8.65/8.64 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|hBOOL(hAPP(hAPP(c_member(T_a),$f64(V_r_2,V_A_2,T_a)),V_A_2)).
% 8.65/8.64 0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|$f65(V_r_2,V_A_2,T_a)!=$f64(V_r_2,V_A_2,T_a).
% 8.65/8.64 0 [] c_Relation_Ototal__on(T_a,V_A_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),$f65(V_r_2,V_A_2,T_a)),$f64(V_r_2,V_A_2,T_a))),V_r_2)).
% 8.65/8.64 0 [] c_Relation_Ototal__on(T_a,V_A_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),$f64(V_r_2,V_A_2,T_a)),$f65(V_r_2,V_A_2,T_a))),V_r_2)).
% 8.65/8.64 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_Relation_Oinv__image(T_b,T_a,V_r_2,V_f_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)).
% 8.65/8.64 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_Relation_Oinv__image(T_b,T_a,V_r_2,V_f_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)).
% 8.65/8.64 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)).
% 8.65/8.64 0 [] -c_Relation_Orefl__on(T_a,V_A_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)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)).
% 8.65/8.64 0 [] -c_Relation_Orefl__on(T_a,V_A_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)),V_r_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)).
% 8.65/8.64 0 [] c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 8.65/8.64 0 [] c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 8.65/8.64 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_Relation_Orefl__on(T_a,V_B_2,V_s_2)|c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ORange(T_b,T_a,V_A_2)),c_Relation_ORange(T_b,T_a,V_B_2))).
% 8.65/8.64 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_b,V_A_2)),c_Relation_ODomain(T_a,T_b,V_B_2))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(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),V_xa_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_xa_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(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),V_xa_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_xa_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] c_Nitpick_Owf__wfrec_H(T_b,T_a,V_R_2,V_Fa_2,V_x_2)=hAPP(hAPP(V_Fa_2,hAPP(hAPP(hAPP(c_Recdef_Ocut(T_b,T_a),c_Nitpick_Owf__wfrec(T_b,T_a,V_R_2,V_Fa_2)),V_R_2),V_x_2)),V_x_2).
% 8.65/8.64 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x)=V_x.
% 8.65/8.64 0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x).
% 8.65/8.64 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -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.
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_a_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_x_2),V_y_2)).
% 8.65/8.64 0 [] -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)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_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_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.64 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R1_2,V_R2_2)|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)).
% 8.65/8.64 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2).
% 8.65/8.64 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.64 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 8.65/8.64 0 [] V_A_2=V_B_2| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 8.65/8.64 0 [] -hBOOL(hAPP(V_P_2,V_x_2))| -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)).
% 8.65/8.64 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.64 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 8.65/8.64 0 [] -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)).
% 8.65/8.64 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2).
% 8.65/8.64 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.64 0 [] V_A_2!=V_B_2|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 8.65/8.64 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_H_2,V_A_2)|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)).
% 8.65/8.64 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)).
% 8.65/8.64 0 [] -class_Orderings_Oord(T_b)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)| -c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,$f66(V_g_2,V_f_2,T_a,T_b)),hAPP(V_g_2,$f66(V_g_2,V_f_2,T_a,T_b))).
% 8.65/8.64 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x).
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)|V_x_2!=V_y_2|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2).
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)|V_x_2!=V_y_2|c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2).
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)|V_x_2=V_y_2| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2).
% 8.65/8.64 0 [] -class_Orderings_Opreorder(T_a)|V_x!=V_y|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y).
% 8.65/8.64 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)).
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 8.65/8.64 0 [] -class_Orderings_Oord(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c).
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a).
% 8.65/8.64 0 [] -class_Orderings_Oord(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|V_b!=V_c|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c).
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)|V_b!=V_c|c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a).
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|V_x=V_y.
% 8.65/8.64 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z).
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|V_x=V_y.
% 8.65/8.64 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x).
% 8.65/8.64 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)).
% 8.65/8.64 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))).
% 8.65/8.64 0 [] c_Transitive__Closure_Ortranclp(T_a,c_Transitive__Closure_Ortranclp(T_a,V_r_2))=c_Transitive__Closure_Ortranclp(T_a,V_r_2).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_a_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a1_2),V_a3_2))|V_a3_2=V_a1_2|hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a1_2),$f67(V_a3_2,V_a1_2,V_r_2,T_a))).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a1_2),V_a3_2))|V_a3_2=V_a1_2|hBOOL(hAPP(hAPP(V_r_2,$f67(V_a3_2,V_a1_2,V_r_2,T_a)),V_a3_2)).
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a1_2),V_a3_2))|V_a3_2!=V_a1_2.
% 8.65/8.64 0 [] hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a1_2),V_a3_2))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a1_2),B_b))| -hBOOL(hAPP(hAPP(V_r_2,B_b),V_a3_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_b_2),V_c_2))|hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_c_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_b_2))| -hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_c_2))|hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_a_2),V_c_2)).
% 8.65/8.64 0 [] -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_x_2),V_y_2))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_y_2),V_z_2))|hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_x_2),V_z_2)).
% 8.65/8.64 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_r_2),c_Relation_ODomain(T_a,T_b,V_s_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] -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)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))| -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)).
% 8.65/8.65 0 [] -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)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_x).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_y).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y),V_y).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2)=V_x_2.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2)!=V_x_2.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)=V_x.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)=V_y.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_d)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b).
% 8.65/8.65 0 [] -class_Orderings_Otop(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Orderings_Otop__class_Otop(T_a)).
% 8.65/8.65 0 [] c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 8.65/8.65 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_A_2).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_B_2).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_A_2.
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2.
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Transitive__Closure_Ortrancl(T_a,V_s_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_S_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))|c_Transitive__Closure_Ortrancl(T_a,V_S_2)=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2)).
% 8.65/8.65 0 [] c_Relation_ODomain(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))=c_Relation_ODomain(T_a,T_a,V_r_2).
% 8.65/8.65 0 [] c_Relation_ORange(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))=c_Relation_ORange(T_a,T_a,V_r_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_b_2),V_a_2))|hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(T_a,V_r_2),V_b_2),V_a_2))| -hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))|hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_2,V_s_2)| -c_Relation_Osingle__valued(T_a,T_b,V_s_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 8.65/8.65 0 [] -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))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_R_2,V_S_2).
% 8.65/8.65 0 [] 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))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_R_2,V_S_2).
% 8.65/8.65 0 [] c_Transitive__Closure_Ortranclp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_r_2),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a,c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot)),c_fe_qual)))=c_Transitive__Closure_Ortranclp(T_a,V_r_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_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_b_2),V_c_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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_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_b_2),V_c_2)),c_Transitive__Closure_Otrancl(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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(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_b_2),V_c_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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(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_b_2),V_c_2)),c_Transitive__Closure_Otrancl(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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 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_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))).
% 8.65/8.65 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_Transitive__Closure_Ortrancl(T_a,V_R_2)))|V_x_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_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 8.65/8.65 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_Transitive__Closure_Ortrancl(T_a,V_R_2)))|V_x_2!=V_y_2.
% 8.65/8.65 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_Transitive__Closure_Ortrancl(T_a,V_R_2)))|V_x_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_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_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_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))|V_a_2=V_b_2|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(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_b_2),V_c_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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(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_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(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_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 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_Transitive__Closure_Ortrancl(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_y_2),V_z_2)),c_Transitive__Closure_Otrancl(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_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 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_Transitive__Closure_Otrancl(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_x_2),$f68(V_R_2,V_y_2,V_x_2,T_a))),c_Transitive__Closure_Ortrancl(T_a,V_R_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f68(V_R_2,V_y_2,V_x_2,T_a)),V_y_2)),V_R_2)).
% 8.65/8.65 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_Transitive__Closure_Otrancl(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_x_2),$f69(V_R_2,V_y_2,V_x_2,T_a))),V_R_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f69(V_R_2,V_y_2,V_x_2,T_a)),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))).
% 8.65/8.65 0 [] -c_Wellfounded_Oacyclic(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)),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] c_Wellfounded_Oacyclic(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),$f70(V_r_2,T_a)),$f70(V_r_2,T_a))),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f71(V_C_2,V_B_2,T_b,V_A_2,T_a)),V_A_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_C_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),hAPP(V_B_2,$f71(V_C_2,V_B_2,T_b,V_A_2,T_a)),hAPP(V_C_2,$f71(V_C_2,V_B_2,T_b,V_A_2,T_a)))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool),c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2),c_FuncSet_OPi(T_a,T_b,V_A_2,V_C_2)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f72(V_y_2,V_x_2,V_r_2,T_a)),$f72(V_y_2,V_x_2,V_r_2,T_a))),c_Transitive__Closure_Otrancl(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_x_2),V_y_2)),V_r_2))|V_x_2!=V_y_2.
% 8.65/8.65 0 [] -c_Wellfounded_Oacyclic(T_a,V_s_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_R_2,V_S_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_S_2,c_Transitive__Closure_Ortranclp(T_a,V_R_2))|c_Transitive__Closure_Ortranclp(T_a,V_S_2)=c_Transitive__Closure_Ortranclp(T_a,V_R_2).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_r_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortranclp(T_a,V_r_2),c_Transitive__Closure_Ortranclp(T_a,V_s_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_R1_2,V_R2_2)|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)).
% 8.65/8.65 0 [] -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))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2,V_S_2).
% 8.65/8.65 0 [] 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))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_R_2,V_S_2).
% 8.65/8.65 0 [] -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))).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f73(V_r_2,T_a)),$f73(V_r_2,T_a))),c_Transitive__Closure_Otrancl(T_a,V_r_2)))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))|V_a_2=V_b_2|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.65 0 [] -c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(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))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 8.65/8.65 0 [] -c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(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))| -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_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(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))| -c_Wellfounded_Oacyclic(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_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 8.65/8.65 0 [] V_a_2!=V_b_2|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_A_2)))|V_a_2=V_b_2|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.65 0 [] -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)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))| -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)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|c_Set_Oinsert(T_a,V_a_2,V_A_2)=V_A_2.
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 8.65/8.65 0 [] 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))|c_Set_Oinsert(T_a,V_x_2,V_A_2)!=c_Set_Oinsert(T_a,V_x_2,V_B_2)|V_A_2=V_B_2.
% 8.65/8.65 0 [] 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))|c_Set_Oinsert(T_a,V_x_2,V_A_2)=c_Set_Oinsert(T_a,V_x_2,V_B_2)|V_A_2!=V_B_2.
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_A_2)))|V_a_2=V_b_2|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_A_2)))|V_a_2!=V_b_2.
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_b_2,V_A_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_A_2)),c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.65/8.65 0 [] c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 8.65/8.65 0 [] c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2)).
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=c_Set_Oinsert(T_a,V_x_2,V_A_2).
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_x_2,c_Set_Oinsert(T_a,V_y_2,V_A_2))=c_Set_Oinsert(T_a,V_y_2,c_Set_Oinsert(T_a,V_x_2,V_A_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))|V_y_2=V_x_2|hBOOL(hAPP(V_A_2,V_x_2)).
% 8.65/8.65 0 [] hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))|V_y_2!=V_x_2.
% 8.65/8.65 0 [] hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))| -hBOOL(hAPP(V_A_2,V_x_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_x_2,V_A_2),V_B_2)| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,V_B_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,V_B_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2))).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_OId__on(T_a,V_A_2),c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2))).
% 8.65/8.65 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2))).
% 8.65/8.65 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_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)).
% 8.65/8.65 0 [] c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))|hBOOL(hAPP(hAPP(c_member(T_a),$f74(V_r_2,V_A_2,T_a)),V_A_2)).
% 8.65/8.65 0 [] c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f74(V_r_2,V_A_2,T_a)),$f74(V_r_2,V_A_2,T_a))),V_r_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))| -hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),c_Product__Type_OSigma(T_b,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)),c_Product__Type_OSigma(T_b,T_a,V_B_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),c_Product__Type_OSigma(T_b,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)),c_Product__Type_OSigma(T_b,T_a,V_B_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2)))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))| -hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))).
% 8.65/8.65 0 [] hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)!=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)|V_a=V_a_H.
% 8.65/8.65 0 [] hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)!=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)|V_b=V_b_H.
% 8.65/8.65 0 [] hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)!=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2)|V_a_2=V_a_H_2.
% 8.65/8.65 0 [] hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)!=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2)|V_b_2=V_b_H_2.
% 8.65/8.65 0 [] hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2)|V_a_2!=V_a_H_2|V_b_2!=V_b_H_2.
% 8.65/8.65 0 [] -hBOOL(hAPP(V_P_2,$f75(T_b,T_a,V_P_2)))|hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))).
% 8.65/8.65 0 [] hBOOL(hAPP(V_P_2,B_x1))| -hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f77(T_b,T_a,V_P_2)),$f76(T_b,T_a,V_P_2)))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))|c_Product__Type_OSigma(T_b,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2))!=c_Product__Type_OSigma(T_b,T_a,V_B_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2))|V_A_2=V_B_2.
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))|c_Product__Type_OSigma(T_b,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2))=c_Product__Type_OSigma(T_b,T_a,V_B_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b,V_C_2))|V_A_2!=V_B_2.
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,V_I_2,hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_A_2)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_B_2)).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))),c_Product__Type_OSigma(T_a,T_b,V_B_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_C_2)),c_Product__Type_OSigma(T_a,T_b,V_J_2,V_C_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))|hBOOL(hAPP(hAPP(c_member(T_a),$f78(V_A_2,V_r_2,T_a)),V_A_2))|c_Relation_Orefl__on(T_a,V_A_2,V_r_2).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Product__Type_OSigma(T_a,T_a,V_A_2,c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,V_A_2)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f78(V_A_2,V_r_2,T_a)),$f78(V_A_2,V_r_2,T_a))),V_r_2))|c_Relation_Orefl__on(T_a,V_A_2,V_r_2).
% 8.65/8.65 0 [] c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))=hAPP(hAPP(V_f1_2,V_a_2),V_b_2).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_S_2))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),V_f_2),c_FuncSet_Oextensional__funcset(T_a,T_b,c_Set_Oinsert(T_a,V_x_2,V_S_2),V_T_2)))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,T_b)),c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,c_HOL_Oundefined(T_b))),c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,V_T_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_T_2))| -hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_a)),V_f_2),c_FuncSet_Oextensional__funcset(T_b,T_a,V_S_2,V_T_2)))|hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,T_a)),c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2)),c_FuncSet_Oextensional__funcset(T_b,T_a,c_Set_Oinsert(T_b,V_x_2,V_S_2),V_T_2))).
% 8.65/8.65 0 [] c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,hAPP(V_f_2,V_x_2))=V_f_2.
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_c_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_a),$f80(V_B_2,V_A_2,V_c_2,T_b,T_a)),V_A_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_c_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|hBOOL(hAPP(hAPP(c_member(T_b),$f79(V_B_2,V_A_2,V_c_2,T_b,T_a)),hAPP(V_B_2,$f80(V_B_2,V_A_2,V_c_2,T_b,T_a)))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_c_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))|V_c_2=hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),$f80(V_B_2,V_A_2,V_c_2,T_b,T_a)),$f79(V_B_2,V_A_2,V_c_2,T_b,T_a)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)|hBOOL(hAPP(hAPP(c_member(T_a),$f81(V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a)),V_A_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2),c_Product__Type_OSigma(T_a,T_b,V_C_2,V_D_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),hAPP(V_B_2,$f81(V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a)),hAPP(V_D_2,$f81(V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a)))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2),c_Product__Type_OSigma(T_a,T_b,V_C_2,V_D_2)).
% 8.65/8.65 0 [] c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2)!=V_f_2|hAPP(V_f_2,V_x_2)=V_y_2.
% 8.65/8.65 0 [] c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2)=V_f_2|hAPP(V_f_2,V_x_2)!=V_y_2.
% 8.65/8.65 0 [] c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2)=c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_z_2).
% 8.65/8.65 0 [] hAPP(c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2),V_x_2)=V_y_2.
% 8.65/8.65 0 [] V_z_2!=V_x_2|hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2)=V_y_2.
% 8.65/8.65 0 [] V_z_2=V_x_2|hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2)=hAPP(V_f_2,V_z_2).
% 8.65/8.65 0 [] V_a_2=V_c_2|c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2)=c_Fun_Ofun__upd(T_a,T_b,c_Fun_Ofun__upd(T_a,T_b,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2).
% 8.65/8.65 0 [] V_z_2=V_x_2|hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_x_2,V_y_2),V_z_2)=hAPP(V_f_2,V_z_2).
% 8.65/8.65 0 [] hAPP(V_f_2,V_x_2)!=V_y_2|c_Fun_Ofun__upd(T_b,T_a,V_f_2,V_x_2,V_y_2)=V_f_2.
% 8.65/8.65 0 [] V_x_2!=V_a_2|hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_a_2,V_b_2),V_x_2)=V_b_2.
% 8.65/8.65 0 [] V_x_2=V_a_2|hAPP(c_Fun_Ofun__upd(T_a,T_b,V_f_2,V_a_2,V_b_2),V_x_2)=hAPP(V_f_2,V_x_2).
% 8.65/8.65 0 [] c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))=hAPP(hAPP(V_c_2,V_a_2),V_b_2).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,c_Set_Oinsert(T_a,V_a_2,V_A_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Set_Oinsert(T_b,V_b_2,V_B_2)))=c_Set_Oinsert(tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Set_Oinsert(T_b,V_b_2,V_B_2)))),c_Product__Type_OSigma(T_a,T_b,c_Set_Oinsert(T_a,V_a_2,V_A_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2)))).
% 8.65/8.65 0 [] c_Product__Type_Ocurry(T_b,T_c,T_a,V_c_2,V_x_2,V_y_2)=hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))|hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))|hBOOL(hAPP(V_A_2,V_x_2))|hBOOL(hAPP(V_B_2,V_x_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(V_B_2,V_x_2))|hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(V_A_2,V_x_2))|hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,V_I_2,hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_A_2)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_B_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,V_B_2)),V_C_2)=c_Set_Oinsert(T_a,V_a_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))),c_Product__Type_OSigma(T_a,T_b,V_B_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_C_2))).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b,V_I_2,V_C_2)),c_Product__Type_OSigma(T_a,T_b,V_J_2,V_C_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_B_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)).
% 8.65/8.65 0 [] c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2)))=c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)),V_x_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)),V_x_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.65 0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_Relation_Orefl__on(T_a,V_B_2,V_s_2)|c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)).
% 8.65/8.65 0 [] c_Relation_ORange(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ORange(T_b,T_a,V_A_2)),c_Relation_ORange(T_b,T_a,V_B_2)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a)=V_a.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x)=V_x.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)=V_A_2.
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))| -hBOOL(hAPP(V_P_2,B_x))|hBOOL(hAPP(hAPP(c_member(T_a),$f82(V_P_2,V_B_2,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),$f83(V_P_2,V_B_2,V_A_2,T_a)),V_B_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))| -hBOOL(hAPP(V_P_2,B_x))|hBOOL(hAPP(hAPP(c_member(T_a),$f82(V_P_2,V_B_2,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(V_P_2,$f83(V_P_2,V_B_2,V_A_2,T_a))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))| -hBOOL(hAPP(V_P_2,B_x))|hBOOL(hAPP(V_P_2,$f82(V_P_2,V_B_2,V_A_2,T_a)))|hBOOL(hAPP(hAPP(c_member(T_a),$f83(V_P_2,V_B_2,V_A_2,T_a)),V_B_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))| -hBOOL(hAPP(V_P_2,B_x))|hBOOL(hAPP(V_P_2,$f82(V_P_2,V_B_2,V_A_2,T_a)))|hBOOL(hAPP(V_P_2,$f83(V_P_2,V_B_2,V_A_2,T_a))).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f84(V_P_2,V_B_2,V_A_2,T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),X1),V_A_2))| -hBOOL(hAPP(V_P_2,X1)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f84(V_P_2,V_B_2,V_A_2,T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),X2),V_B_2))| -hBOOL(hAPP(V_P_2,X2)).
% 8.65/8.65 0 [] hBOOL(hAPP(V_P_2,$f84(V_P_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(hAPP(c_member(T_a),X1),V_A_2))| -hBOOL(hAPP(V_P_2,X1)).
% 8.65/8.65 0 [] hBOOL(hAPP(V_P_2,$f84(V_P_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(hAPP(c_member(T_a),X2),V_B_2))| -hBOOL(hAPP(V_P_2,X2)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f85(V_P_2,V_B_2,V_A_2,T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))|hBOOL(hAPP(V_P_2,B_x)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f85(V_P_2,V_B_2,V_A_2,T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))| -hBOOL(hAPP(hAPP(c_member(T_a),X3),V_B_2))|hBOOL(hAPP(V_P_2,X3)).
% 8.65/8.65 0 [] -hBOOL(hAPP(V_P_2,$f85(V_P_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))|hBOOL(hAPP(V_P_2,B_x)).
% 8.65/8.65 0 [] -hBOOL(hAPP(V_P_2,$f85(V_P_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(hAPP(c_member(T_a),X3),V_B_2))|hBOOL(hAPP(V_P_2,X3)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),X4),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))|hBOOL(hAPP(V_P_2,X4))|hBOOL(hAPP(hAPP(c_member(T_a),$f86(V_P_2,V_B_2,V_A_2,T_a)),V_A_2))|hBOOL(hAPP(hAPP(c_member(T_a),$f87(V_P_2,V_B_2,V_A_2,T_a)),V_B_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),X4),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))|hBOOL(hAPP(V_P_2,X4))|hBOOL(hAPP(hAPP(c_member(T_a),$f86(V_P_2,V_B_2,V_A_2,T_a)),V_A_2))| -hBOOL(hAPP(V_P_2,$f87(V_P_2,V_B_2,V_A_2,T_a))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),X4),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))|hBOOL(hAPP(V_P_2,X4))| -hBOOL(hAPP(V_P_2,$f86(V_P_2,V_B_2,V_A_2,T_a)))|hBOOL(hAPP(hAPP(c_member(T_a),$f87(V_P_2,V_B_2,V_A_2,T_a)),V_B_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),X4),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))|hBOOL(hAPP(V_P_2,X4))| -hBOOL(hAPP(V_P_2,$f86(V_P_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(V_P_2,$f87(V_P_2,V_B_2,V_A_2,T_a))).
% 8.65/8.65 0 [] -hBOOL(hAPP(V_A_2,V_x_2))|hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(V_B_2,V_x_2))|hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)).
% 8.65/8.65 0 [] c_Relation_ODomain(T_a,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_b,V_A_2)),c_Relation_ODomain(T_a,T_b,V_B_2)).
% 8.65/8.65 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x)).
% 8.65/8.65 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x)).
% 8.65/8.65 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)).
% 8.65/8.65 0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y))=V_x.
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))=V_x.
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x)=V_x.
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2.
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)!=V_B_2.
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_B_2.
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=V_A_2.
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_C_2).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_d)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z),V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b),V_x).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)=V_x.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)=V_y.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2),V_z_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2),V_z_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_z_2).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2),V_z_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_z_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_z_2).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)=V_y_2.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)!=V_y_2.
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)).
% 8.65/8.65 0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z))).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z))).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2)=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__top(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x)=c_Orderings_Otop__class_Otop(T_a).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__top(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))=c_Orderings_Otop__class_Otop(T_a).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)!=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.65 0 [] -hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))|hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))).
% 8.65/8.65 0 [] -hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))|hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))).
% 8.65/8.65 0 [] c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2,V_a_2,V_b_2)=hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),$f89(V_Q_2,V_P_2,V_b_2,V_a_2,T_a))),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f89(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),$f88(V_Q_2,V_P_2,V_b_2,V_a_2,T_a))),V_Q_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))|$f89(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)!=$f88(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f91(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),$f90(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),$f91(V_Q_2,V_P_2,V_b_2,V_a_2,T_a))),V_Q_2))|hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))|$f90(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)!=$f91(V_Q_2,V_P_2,V_b_2,V_a_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_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Product__Type_OSigma(T_a,T_a,c_Relation_OField(T_a,V_r_2),c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a,c_Relation_OField(T_a,V_r_2)))).
% 8.65/8.65 0 [] c_Transitive__Closure_Ortranclp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),c_Transitive__Closure_Ortranclp(T_a,V_R_2)),c_Transitive__Closure_Ortranclp(T_a,V_S_2)))=c_Transitive__Closure_Ortranclp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R_2),V_S_2)).
% 8.65/8.65 0 [] c_Transitive__Closure_Ortranclp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R_2),c_fe_qual))=c_Transitive__Closure_Ortranclp(T_a,V_R_2).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a,V_r_2),c_Relation_OField(T_a,V_s_2)).
% 8.65/8.65 0 [] c_Relation_OField(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OField(T_a,V_r_2)),c_Relation_OField(T_a,V_s_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)),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)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(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)),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)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))).
% 8.65/8.65 0 [] c_Relation_OField(T_a,V_r_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Relation_ODomain(T_a,T_a,V_r_2)),c_Relation_ORange(T_a,T_a,V_r_2)).
% 8.65/8.65 0 [] c_Relation_OField(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2),V_r_2))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),c_Relation_OField(T_a,V_r_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),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)),c_fe_qual),V_x_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)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),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)),c_fe_qual),V_x_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)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))|hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_A_2).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Relation_OId(T_a))).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)!=c_Orderings_Obot__class_Obot(T_a)|V_x_2=c_Orderings_Obot__class_Obot(T_a).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)!=c_Orderings_Obot__class_Obot(T_a)|V_y_2=c_Orderings_Obot__class_Obot(T_a).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)=c_Orderings_Obot__class_Obot(T_a)|V_x_2!=c_Orderings_Obot__class_Obot(T_a)|V_y_2!=c_Orderings_Obot__class_Obot(T_a).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2)=V_B_2.
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=V_A_2.
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_B_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_B_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)).
% 8.65/8.65 0 [] c_Relation_OField(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))|V_b_2=V_a_2.
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))|V_b_2=V_a_2.
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))|V_b_2!=V_a_2.
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_A_2=c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,V_A_2)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId(T_a)))|V_a_2=V_b_2.
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId(T_a)))|V_a_2!=V_b_2.
% 8.65/8.65 0 [] c_FuncSet_OPi(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_a_2,V_A_2).
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_B_2=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,V_A_2,c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a,V_B_2))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))|V_B_2!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_c_2|V_a_2=V_d_2.
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_c_2|V_b_2=V_c_2.
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_d_2|V_a_2=V_d_2.
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_d_2|V_b_2=V_c_2.
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_c_2|V_b_2!=V_d_2.
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_d_2|V_b_2!=V_c_2.
% 8.65/8.65 0 [] c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))!=c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_a_2=V_b_2.
% 8.65/8.65 0 [] c_Product__Type_OSigma(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_FuncSet_Oextensional(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Set_Oinsert(tc_fun(T_a,T_b),c_COMBK(T_b,T_a,c_HOL_Oundefined(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))).
% 8.65/8.65 0 [] c_FuncSet_Oextensional__funcset(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_T_2)=c_Set_Oinsert(tc_fun(T_a,T_b),c_COMBK(T_b,T_a,c_HOL_Oundefined(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice__bot(T_a)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a).
% 8.65/8.65 0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 8.65/8.65 0 [] V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f92(V_A_2,T_a)),V_A_2))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] hBOOL(hAPP(hAPP(c_member(T_a),$f93(V_A_2,T_a)),V_A_2))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] -hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))| -hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2))|B_x!=B_xa.
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(T_a),$f95(V_B_2,V_A_2,T_a)),V_A_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(T_a),$f94(V_B_2,V_A_2,T_a)),V_B_2)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|$f95(V_B_2,V_A_2,T_a)=$f94(V_B_2,V_A_2,T_a).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)).
% 8.65/8.65 0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))|hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 8.65/8.65 0 [] hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))| -hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 8.65/8.65 0 [] c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 8.65/8.65 0 [] c_Relation_ORange(T_b,T_a,V_r_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_r_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Relation_ORange(T_b,T_a,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_r_2!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Relation_ORange(T_b,T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Relation_OId(T_a).
% 8.65/8.65 0 [] c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))|hBOOL(hAPP(hAPP(c_member(T_a),$f96(V_B_2,V_A_2,T_b,T_a)),V_A_2)).
% 8.65/8.65 0 [] c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))|hAPP(V_B_2,$f96(V_B_2,V_A_2,T_b,T_a))=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_FuncSet_OPi(T_a,T_b,V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))| -hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))|hAPP(V_B_2,B_x)!=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)).
% 8.65/8.65 0 [] V_S_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|c_FuncSet_Oextensional__funcset(T_a,T_b,V_S_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool)).
% 8.65/8.65 0 [] -class_Orderings_Obot(T_a)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Obot__class_Obot(T_a).
% 8.65/8.65 0 [] -class_Orderings_Obot(T_a)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2)=c_Orderings_Obot__class_Obot(T_a).
% 8.65/8.65 0 [] c_Relation_ODomain(T_a,T_b,V_r_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_r_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Relation_ODomain(T_a,T_b,V_r_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|V_r_2!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Relation_ODomain(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] -class_Orderings_Obot(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Orderings_Obot__class_Obot(T_a),V_x).
% 8.65/8.65 0 [] c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2).
% 8.65/8.65 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_A_2,V_B_2).
% 8.65/8.65 0 [] c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Relation_ODomain(T_a,T_a,c_Relation_OId(T_a))=c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)).
% 8.65/8.65 0 [] c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_a)))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 8.65/8.65 0 [] hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 8.65/8.65 0 [] class_Lattices_Obounded__lattice(tc_HOL_Obool).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Lattices_Odistrib__lattice(T_1)|class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Olattice(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Orderings_Otop(T_1)|class_Orderings_Otop(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Orderings_Oord(T_1)|class_Orderings_Oord(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] -class_Orderings_Obot(T_1)|class_Orderings_Obot(tc_fun(T_2,T_1)).
% 8.65/8.65 0 [] class_Lattices_Osemilattice__sup(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Lattices_Osemilattice__inf(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Lattices_Odistrib__lattice(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Orderings_Opreorder(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Orderings_Olinorder(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Lattices_Olattice(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Orderings_Oorder(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Orderings_Oord(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Orderings_Obot(tc_Nat_Onat).
% 8.65/8.65 0 [] class_Lattices_Obounded__lattice__top(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Lattices_Obounded__lattice__bot(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Lattices_Osemilattice__inf(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Lattices_Odistrib__lattice(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Orderings_Opreorder(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Lattices_Olattice(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Orderings_Oorder(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Orderings_Otop(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Orderings_Oord(tc_HOL_Obool).
% 8.65/8.65 0 [] class_Orderings_Obot(tc_HOL_Obool).
% 8.65/8.65 0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 8.65/8.66 0 [] hAPP(c_COMBK(T_a,T_b,V_P),V_Q)=V_P.
% 8.65/8.66 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)).
% 8.65/8.66 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).
% 8.65/8.66 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)).
% 8.65/8.66 0 [] -hBOOL(hAPP(hAPP(c_fe_qual,V_x_2),V_y_2))|V_x_2=V_y_2.
% 8.65/8.66 0 [] V_x_2!=V_y_2|hBOOL(hAPP(hAPP(c_fe_qual,V_x_2),V_y_2)).
% 8.65/8.66 0 [] -hBOOL(hAPP(c_fNot,V_P_2))| -hBOOL(V_P_2).
% 8.65/8.66 0 [] hBOOL(V_P_2)|hBOOL(hAPP(c_fNot,V_P_2)).
% 8.65/8.66 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)))).
% 8.65/8.66 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))),B_x),c_Arrow__Order__Mirabelle_OProf))|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)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__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_F,B_x))).
% 8.65/8.66 0 [] -c_Arrow__Order__Mirabelle_Odictator(v_F,v_i).
% 8.65/8.66 end_of_list.
% 8.65/8.66
% 8.65/8.66 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 8.65/8.66
% 8.65/8.66 This ia a non-Horn set with equality. The strategy will be
% 8.65/8.66 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 8.65/8.66 deletion, with positive clauses in sos and nonpositive
% 8.65/8.66 clauses in usable.
% 8.65/8.66
% 8.65/8.66 dependent: set(knuth_bendix).
% 8.65/8.66 dependent: set(anl_eq).
% 8.65/8.66 dependent: set(para_from).
% 8.65/8.66 dependent: set(para_into).
% 8.65/8.66 dependent: clear(para_from_right).
% 8.65/8.66 dependent: clear(para_into_right).
% 8.65/8.66 dependent: set(para_from_vars).
% 8.65/8.66 dependent: set(eq_units_both_ways).
% 8.65/8.66 dependent: set(dynamic_demod_all).
% 8.65/8.66 dependent: set(dynamic_demod).
% 8.65/8.66 dependent: set(order_eq).
% 8.65/8.66 dependent: set(back_demod).
% 8.65/8.66 dependent: set(lrpo).
% 8.65/8.66 dependent: set(hyper_res).
% 8.65/8.66 dependent: set(unit_deletion).
% 8.65/8.66 dependent: set(factor).
% 8.65/8.66
% 8.65/8.66 ------------> process usable:
% 8.65/8.66 ** KEPT (pick-wt=14): 1 [] hAPP(A,$f1(B,A))!=hAPP(B,$f1(B,A))|A=B.
% 8.65/8.66 ** KEPT (pick-wt=23): 2 [] -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).
% 8.65/8.66 ** KEPT (pick-wt=14): 4 [copy,3,flip.2] c_Arrow__Order__Mirabelle_Odictator(A,B)|hAPP($f2(B,A),B)!=hAPP(A,$f2(B,A)).
% 8.65/8.66 ** KEPT (pick-wt=31): 5 [] -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)).
% 8.65/8.66 ** KEPT (pick-wt=34): 6 [] -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)).
% 8.65/8.66 Following clause subsumed by 5 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))).
% 8.65/8.66 ** KEPT (pick-wt=17): 7 [] A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 8.65/8.66 ** KEPT (pick-wt=17): 8 [] A!=B|hBOOL(hAPP(hAPP(c_member(C),D),B))| -hBOOL(hAPP(hAPP(c_member(C),D),A)).
% 8.65/8.66 ** 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.
% 8.65/8.66 ** 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.
% 8.65/8.66 ** 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.
% 8.65/8.66 ** 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.
% 8.65/8.66 ** 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)).
% 8.65/8.66 ** 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)).
% 8.65/8.66 ** 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.
% 8.65/8.66 ** 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)).
% 8.65/8.66 ** 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.
% 8.65/8.66 ** 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.
% 8.65/8.66 ** 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)).
% 8.65/8.66 ** 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)).
% 8.65/8.66 ** 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.
% 8.65/8.66 ** 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)).
% 8.65/8.66 ** KEPT (pick-wt=21): 23 [] -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)).
% 8.65/8.66 ** KEPT (pick-wt=21): 24 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=60): 25 [] -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))).
% 8.65/8.66 ** KEPT (pick-wt=26): 26 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=26): 27 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=18): 28 [] -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)).
% 8.65/8.66 ** KEPT (pick-wt=22): 29 [] c_Nitpick_Orefl_H(A,B)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),$f3(B,A)),$f3(B,A))),B)).
% 8.65/8.66 ** KEPT (pick-wt=24): 30 [] -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)).
% 8.65/8.66 ** KEPT (pick-wt=24): 31 [] -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)).
% 8.65/8.66 ** KEPT (pick-wt=17): 32 [] A!=B| -hBOOL(hAPP(hAPP(c_member(C),B),D))|hBOOL(hAPP(hAPP(c_member(C),A),D)).
% 8.65/8.66 ** KEPT (pick-wt=17): 33 [] A!=B| -hBOOL(hAPP(hAPP(c_member(C),A),D))|hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 8.65/8.66 Following clause subsumed by 32 during input processing: 0 [] A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 8.65/8.66 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)).
% 8.65/8.66 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)).
% 8.65/8.66 ** KEPT (pick-wt=12): 34 [] -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_fe_qual,C)))|B=C.
% 8.65/8.66 ** KEPT (pick-wt=12): 35 [] hBOOL(hAPP(hAPP(c_member(A),B),hAPP(c_fe_qual,C)))|B!=C.
% 8.65/8.66 ** KEPT (pick-wt=11): 36 [] -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(C,B)).
% 8.65/8.66 ** KEPT (pick-wt=11): 37 [] hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(C,B)).
% 8.65/8.66 ** KEPT (pick-wt=41): 38 [] -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)).
% 8.65/8.66 ** KEPT (pick-wt=44): 39 [] -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)).
% 8.65/8.66 Following clause subsumed by 38 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)).
% 8.65/8.66 ** KEPT (pick-wt=35): 40 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=50): 41 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=56): 42 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=53): 43 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=56): 44 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=44): 45 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=56): 46 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=56): 47 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=68): 48 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=53): 49 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=68): 50 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=56): 51 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=68): 52 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=68): 53 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=80): 54 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=35): 55 [] 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.
% 8.65/8.66 ** KEPT (pick-wt=50): 56 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=56): 57 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=53): 58 [] 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)).
% 8.65/8.66 ** KEPT (pick-wt=56): 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_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)).
% 8.65/8.66 ** KEPT (pick-wt=44): 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_Oabove(C,A,B)))|D=E|D=B|D!=A|E!=B.
% 8.65/8.66 ** 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_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)).
% 8.65/8.66 ** KEPT (pick-wt=56): 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_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.
% 8.65/8.66 ** KEPT (pick-wt=68): 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_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)).
% 8.65/8.66 ** KEPT (pick-wt=53): 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_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.
% 8.65/8.67 ** KEPT (pick-wt=68): 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_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)).
% 8.65/8.67 ** 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_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.
% 8.65/8.67 ** 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_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)).
% 8.65/8.67 ** KEPT (pick-wt=68): 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_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.
% 8.65/8.67 ** KEPT (pick-wt=80): 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_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)).
% 8.65/8.67 ** KEPT (pick-wt=57): 70 [] -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.
% 8.65/8.67 ** KEPT (pick-wt=69): 71 [] -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)).
% 8.65/8.67 ** KEPT (pick-wt=54): 72 [] 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)).
% 8.65/8.67 ** KEPT (pick-wt=57): 73 [] 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)).
% 8.65/8.67 ** KEPT (pick-wt=34): 74 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f4(C,B,A,D,E))),hAPP(C,$f4(C,B,A,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),B),c_FuncSet_OPi(E,A,D,C))).
% 8.65/8.67 ** KEPT (pick-wt=28): 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_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)).
% 8.65/8.67 ** KEPT (pick-wt=28): 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_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)).
% 8.65/8.67 ** KEPT (pick-wt=32): 77 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f5(C,B,A,D,E))),C))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),B),c_FuncSet_OPi(E,A,D,c_COMBK(tc_fun(A,tc_HOL_Obool),E,C)))).
% 8.65/8.67 ** KEPT (pick-wt=106): 78 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(B,$f6(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,$f6(A,B,C,D,E))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,B)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,C))).
% 8.65/8.67 ** KEPT (pick-wt=106): 79 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(B,$f6(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,$f6(A,B,C,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,B)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,C))).
% 8.65/8.67 ** KEPT (pick-wt=106): 80 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(B,$f6(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,$f6(A,B,C,D,E))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,B)))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,C))).
% 8.65/8.67 ** KEPT (pick-wt=106): 81 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),C),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(B,$f6(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,$f6(A,B,C,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,B)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),D),E)),hAPP(A,C))).
% 8.65/8.67 ** KEPT (pick-wt=42): 82 [] c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(A)),$f7(A))),hAPP($f10(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),$f8(A)),$f7(A))),hAPP($f9(A),B))).
% 8.65/8.67 ** KEPT (pick-wt=42): 83 [] c_Arrow__Order__Mirabelle_OIIA(A)|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(A)),$f7(A))),hAPP($f10(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),$f8(A)),$f7(A))),hAPP($f9(A),B))).
% 8.65/8.67 ** KEPT (pick-wt=42): 84 [] c_Arrow__Order__Mirabelle_OIIA(A)| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),$f8(A)),$f7(A))),hAPP(A,$f10(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),$f8(A)),$f7(A))),hAPP(A,$f9(A)))).
% 8.65/8.67 ** KEPT (pick-wt=53): 85 [] -c_Arrow__Order__Mirabelle_Ounanimity(A)| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),B),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),C),D)),hAPP(B,$f11(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))).
% 8.65/8.67 ** KEPT (pick-wt=22): 86 [] 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),$f13(A)),$f12(A))),hAPP(A,$f14(A)))).
% 8.65/8.67 ** KEPT (pick-wt=39): 87 [] hBOOL(hAPP(hAPP(c_member(A),$f15(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))).
% 8.65/8.67 ** KEPT (pick-wt=39): 88 [] hBOOL(hAPP(hAPP(c_member(A),$f15(B,C,D,E,F,A)),F))|hBOOL(hAPP(hAPP(c_member(tc_fun(A,C)),E),c_FuncSet_OPi(A,C,F,B)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,C)),D),c_FuncSet_OPi(A,C,F,B))).
% 8.65/8.67 ** KEPT (pick-wt=45): 89 [] hAPP(A,$f15(B,C,D,A,E,F))!=hAPP(D,$f15(B,C,D,A,E,F))| -hBOOL(hAPP(hAPP(c_member(tc_fun(F,C)),A),c_FuncSet_OPi(F,C,E,B)))|hBOOL(hAPP(hAPP(c_member(tc_fun(F,C)),D),c_FuncSet_OPi(F,C,E,B))).
% 8.65/8.67 ** KEPT (pick-wt=45): 90 [] hAPP(A,$f15(B,C,D,A,E,F))!=hAPP(D,$f15(B,C,D,A,E,F))|hBOOL(hAPP(hAPP(c_member(tc_fun(F,C)),A),c_FuncSet_OPi(F,C,E,B)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(F,C)),D),c_FuncSet_OPi(F,C,E,B))).
% 8.65/8.67 ** KEPT (pick-wt=34): 91 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f16(C,B,A,D,E))),hAPP(C,$f16(C,B,A,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),B),c_FuncSet_OPi(E,A,D,C))).
% 8.65/8.67 ** KEPT (pick-wt=60): 92 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,c_COMBK(tc_fun(B,tc_HOL_Obool),A,E))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(B,F)),G),c_FuncSet_OPi(B,F,E,c_COMBK(tc_fun(F,tc_HOL_Obool),B,H))))|hBOOL(hAPP(hAPP(c_member(tc_fun(A,F)),c_FuncSet_Ocompose(A,B,F,D,G,C)),c_FuncSet_OPi(A,F,D,c_COMBK(tc_fun(F,tc_HOL_Obool),A,H)))).
% 8.65/8.67 ** KEPT (pick-wt=81): 93 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,c_COMBK(tc_fun(B,tc_HOL_Obool),A,E))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(B,F)),G),c_FuncSet_OPi(B,F,E,c_COMBK(tc_fun(F,tc_HOL_Obool),B,H))))| -hBOOL(hAPP(hAPP(c_member(tc_fun(F,I)),J),c_FuncSet_OPi(F,I,H,c_COMBK(tc_fun(I,tc_HOL_Obool),F,K))))|c_FuncSet_Ocompose(A,F,I,D,J,c_FuncSet_Ocompose(A,B,F,D,G,C))=c_FuncSet_Ocompose(A,B,I,D,c_FuncSet_Ocompose(B,F,I,E,J,G),C).
% 8.65/8.67 ** KEPT (pick-wt=33): 94 [] -hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),B)),C))|hBOOL(hAPP(hAPP(c_member(A),D),c_Wellfounded_Oacc(A,C))).
% 8.65/8.67 ** KEPT (pick-wt=21): 95 [] hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(A),$f17(C,B,A)),c_Wellfounded_Oacc(A,C))).
% 8.65/8.67 Following clause subsumed by 94 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))).
% 8.65/8.67 ** KEPT (pick-wt=28): 97 [copy,96,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,$f18(F,E,D,C,B,A)),E)=hAPP(hAPP(D,F),E).
% 8.65/8.67 ** KEPT (pick-wt=41): 98 [] -c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),G),E)),C))|c_Recdef_Owfrec__rel(A,B,C,D,G,hAPP($f18(F,E,D,C,B,A),G)).
% 8.65/8.67 ** KEPT (pick-wt=44): 99 [] c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,F),E)!=hAPP(hAPP(D,G),E)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),$f19(F,E,D,C,B,A,G)),E)),C)).
% 8.65/8.67 ** KEPT (pick-wt=45): 100 [] c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,F),E)!=hAPP(hAPP(D,G),E)| -c_Recdef_Owfrec__rel(A,B,C,D,$f19(F,E,D,C,B,A,G),hAPP(G,$f19(F,E,D,C,B,A,G))).
% 8.65/8.67 ** KEPT (pick-wt=30): 101 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),D))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,E),F),D),C),B)=hAPP(F,B).
% 8.65/8.67 ** KEPT (pick-wt=41): 102 [] hAPP(hAPP(hAPP(c_Recdef_Ocut(A,B),C),D),E)!=hAPP(hAPP(hAPP(c_Recdef_Ocut(A,B),F),D),E)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),G),E)),D))|hAPP(C,G)=hAPP(F,G).
% 8.65/8.67 ** KEPT (pick-wt=38): 103 [] hAPP(hAPP(hAPP(c_Recdef_Ocut(A,B),C),D),E)=hAPP(hAPP(hAPP(c_Recdef_Ocut(A,B),F),D),E)|hAPP(C,$f20(F,E,D,C,B,A))!=hAPP(F,$f20(F,E,D,C,B,A)).
% 8.65/8.67 Following clause subsumed by 101 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),D))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,E),F),D),C),B)=hAPP(F,B).
% 8.65/8.67 ** KEPT (pick-wt=22): 104 [] -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_FuncSet_Ocompose(A,D,E,C,F,G),B)=hAPP(F,hAPP(G,B)).
% 8.65/8.67 ** KEPT (pick-wt=11): 105 [] -class_Orderings_Otop(A)|hAPP(c_Orderings_Otop__class_Otop(tc_fun(B,A)),C)=c_Orderings_Otop__class_Otop(A).
% 8.65/8.67 ** KEPT (pick-wt=92): 106 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(A,hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(A,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),A,c_COMBC(A,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),A,c_COMBB(tc_prod(A,A),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool),A,c_member(tc_prod(A,A)))),c_Product__Type_OPair(A,A)))),B)),C))|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 8.65/8.67 ** KEPT (pick-wt=92): 107 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,hAPP(hAPP(c_COMBC(A,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(A,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_fun(A,tc_HOL_Obool)),A,c_COMBC(A,tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(A,tc_prod(A,A)),tc_fun(A,tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool)),A,c_COMBB(tc_prod(A,A),tc_fun(tc_fun(tc_prod(A,A),tc_HOL_Obool),tc_HOL_Obool),A,c_member(tc_prod(A,A)))),c_Product__Type_OPair(A,A)))),B)),C))| -hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 8.65/8.68 ** KEPT (pick-wt=21): 108 [] hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(A),$f21(C,B,A)),c_Wellfounded_Oacc(A,C))).
% 8.65/8.68 ** KEPT (pick-wt=21): 109 [] -hBOOL(hAPP(hAPP(c_member(A),$f22(B,C,A)),c_Wellfounded_Oacc(A,B)))|hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,B))).
% 8.65/8.68 Following clause subsumed by 101 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),D))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,E),F),D),C),B)=hAPP(F,B).
% 8.65/8.68 ** KEPT (pick-wt=32): 110 [] -c_Recdef_Owfrec__rel(A,B,C,D,$f23(E,D,B,C,F,A),hAPP(E,$f23(E,D,B,C,F,A)))|c_Recdef_Owfrec__rel(A,B,C,D,F,hAPP(hAPP(D,E),F)).
% 8.65/8.68 ** KEPT (pick-wt=20): 112 [copy,111,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)|hAPP(hAPP(D,$f24(F,E,D,C,B,A)),E)=F.
% 8.65/8.68 ** KEPT (pick-wt=37): 113 [] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),G),E)),C))|c_Recdef_Owfrec__rel(A,B,C,D,G,hAPP($f24(F,E,D,C,B,A),G)).
% 8.65/8.68 ** KEPT (pick-wt=36): 114 [] c_Recdef_Owfrec__rel(A,B,C,D,E,F)|F!=hAPP(hAPP(D,G),E)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),$f25(F,E,D,C,B,A,G)),E)),C)).
% 8.65/8.68 ** KEPT (pick-wt=37): 115 [] c_Recdef_Owfrec__rel(A,B,C,D,E,F)|F!=hAPP(hAPP(D,G),E)| -c_Recdef_Owfrec__rel(A,B,C,D,$f25(F,E,D,C,B,A,G),hAPP(G,$f25(F,E,D,C,B,A,G))).
% 8.65/8.68 ** KEPT (pick-wt=18): 116 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 8.65/8.68 ** KEPT (pick-wt=15): 117 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),$f26(C,B,A))).
% 8.65/8.68 Following clause subsumed by 116 during input processing: 0 [] -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 8.65/8.68 ** KEPT (pick-wt=15): 118 [] hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),$f27(C,B,A))).
% 8.65/8.68 Following clause subsumed by 116 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)).
% 8.65/8.68 ** KEPT (pick-wt=25): 119 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional(A,B,D)))|hBOOL(hAPP(hAPP(c_member(A),E),D))|hAPP(C,E)=c_HOL_Oundefined(B).
% 8.65/8.68 ** KEPT (pick-wt=44): 120 [] -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.
% 8.65/8.68 ** KEPT (pick-wt=44): 121 [] -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.
% 8.65/8.68 ** KEPT (pick-wt=38): 122 [] -c_Recdef_Oadm__wf(A,B,C,D)|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),$f28(D,C,B,A,E,F,G)),G)),C))|hAPP(hAPP(D,E),G)=hAPP(hAPP(D,F),G).
% 8.65/8.68 ** KEPT (pick-wt=37): 123 [] -c_Recdef_Oadm__wf(A,B,C,D)|hAPP(E,$f28(D,C,B,A,E,F,G))!=hAPP(F,$f28(D,C,B,A,E,F,G))|hAPP(hAPP(D,E),G)=hAPP(hAPP(D,F),G).
% 8.65/8.68 ** KEPT (pick-wt=39): 124 [] c_Recdef_Oadm__wf(A,B,C,D)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),E),$f29(D,C,B,A))),C))|hAPP($f31(D,C,B,A),E)=hAPP($f30(D,C,B,A),E).
% 8.65/8.68 ** KEPT (pick-wt=32): 125 [] c_Recdef_Oadm__wf(A,B,C,D)|hAPP(hAPP(D,$f31(D,C,B,A)),$f29(D,C,B,A))!=hAPP(hAPP(D,$f30(D,C,B,A)),$f29(D,C,B,A)).
% 8.65/8.68 ** KEPT (pick-wt=26): 126 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional__funcset(A,B,D,E)))|hBOOL(hAPP(hAPP(c_member(A),F),D))|hAPP(C,F)=c_HOL_Oundefined(B).
% 8.65/8.68 ** KEPT (pick-wt=39): 127 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional(A,B,D)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),E),c_FuncSet_Oextensional(A,B,D)))|hBOOL(hAPP(hAPP(c_member(A),$f32(E,D,C,B,A)),D))|C=E.
% 8.65/8.68 ** KEPT (pick-wt=44): 128 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional(A,B,D)))| -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),E),c_FuncSet_Oextensional(A,B,D)))|hAPP(C,$f32(E,D,C,B,A))!=hAPP(E,$f32(E,D,C,B,A))|C=E.
% 8.65/8.68 ** KEPT (pick-wt=35): 129 [] -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_Transitive__Closure_Ortrancl(A,C)))|hBOOL(hAPP(hAPP(c_member(A),D),c_Wellfounded_Oacc(A,C))).
% 8.65/8.68 Following clause subsumed by 129 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))| -hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,D)))|hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,D))).
% 8.65/8.68 ** KEPT (pick-wt=18): 130 [] -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_FuncSet_Orestrict(A,D,E,C),B)=hAPP(E,B).
% 8.65/8.68 Following clause subsumed by 130 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_FuncSet_Orestrict(A,D,E,C),B)=hAPP(E,B).
% 8.65/8.68 ** KEPT (pick-wt=29): 131 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional__funcset(A,B,D,E)))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hBOOL(hAPP(hAPP(c_member(B),hAPP(C,F)),E)).
% 8.65/8.68 ** KEPT (pick-wt=19): 132 [] -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_Oextensional(A,B,D)))|c_FuncSet_Orestrict(A,B,C,D)=C.
% 8.65/8.68 ** KEPT (pick-wt=20): 133 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),C))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),B),c_Transitive__Closure_Ortrancl(A,C))).
% 8.65/8.68 ** KEPT (pick-wt=51): 134 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),E)),c_Transitive__Closure_Ortrancl(A,D)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),E)),c_Transitive__Closure_Ortrancl(A,D))).
% 8.65/8.68 ** KEPT (pick-wt=49): 135 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),E)),D))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),E)),c_Transitive__Closure_Ortrancl(A,D))).
% 8.65/8.68 ** KEPT (pick-wt=49): 136 [] -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),D))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),E)),c_Transitive__Closure_Ortrancl(A,D)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),E)),c_Transitive__Closure_Ortrancl(A,D))).
% 8.65/8.68 ** KEPT (pick-wt=38): 137 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$f33(C,B,A,D,E))),hAPP(C,$f33(C,B,A,D,E))))|hBOOL(hAPP(hAPP(c_member(tc_fun(E,A)),c_FuncSet_Orestrict(E,A,B,D)),c_FuncSet_OPi(E,A,D,C))).
% 8.65/8.68 ** KEPT (pick-wt=36): 138 [] -hBOOL(hAPP(hAPP(c_member(A),hAPP(B,$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)))).
% 8.65/8.68 ** KEPT (pick-wt=19): 139 [] -hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))|hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(D,tc_HOL_Obool)),A),C),B)).
% 8.65/8.68 ** KEPT (pick-wt=15): 140 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C),D))|hBOOL(hAPP(B,D)).
% 8.65/8.68 ** KEPT (pick-wt=15): 141 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C),D))|hBOOL(hAPP(C,D)).
% 8.65/8.68 ** KEPT (pick-wt=28): 142 [] -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(hAPP(c_member(A),B),D))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D))).
% 8.65/8.68 ** KEPT (pick-wt=21): 143 [] -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 8.65/8.68 ** KEPT (pick-wt=21): 144 [] -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 8.65/8.68 Following clause subsumed by 140 during input processing: 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C),D))|hBOOL(hAPP(B,D)).
% 8.65/8.68 Following clause subsumed by 141 during input processing: 0 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C),D))|hBOOL(hAPP(C,D)).
% 8.65/8.68 Following clause subsumed by 143 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 8.65/8.68 Following clause subsumed by 144 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 8.65/8.68 Following clause subsumed by 142 during input processing: 0 [] hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 8.65/8.68 Following clause subsumed by 143 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 8.65/8.68 Following clause subsumed by 144 during input processing: 0 [] -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 8.65/8.68 ** KEPT (pick-wt=45): 145 [] -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),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)),D))|hBOOL(hAPP(hAPP(c_member(A),D),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C))).
% 8.65/8.68 ** KEPT (pick-wt=45): 146 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),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)),D))| -hBOOL(hAPP(hAPP(c_member(A),D),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C))).
% 8.65/8.68 ** KEPT (pick-wt=23): 147 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),hAPP(C,E)),hAPP(D,E)).
% 8.65/8.68 Following clause subsumed by 147 during input processing: 0 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),hAPP(C,E)),hAPP(D,E)).
% 8.65/8.68 ** KEPT (pick-wt=11): 148 [] -class_Lattices_Obounded__lattice__top(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),c_Orderings_Otop__class_Otop(A)),B)=B.
% 8.65/8.68 ** KEPT (pick-wt=11): 149 [] -class_Lattices_Obounded__lattice__top(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),c_Orderings_Otop__class_Otop(A))=B.
% 8.65/8.68 ** KEPT (pick-wt=15): 150 [] -class_Lattices_Obounded__lattice__top(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A).
% 8.65/8.68 ** KEPT (pick-wt=15): 151 [] -class_Lattices_Obounded__lattice__top(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A).
% 8.65/8.68 ** KEPT (pick-wt=19): 152 [] -class_Lattices_Obounded__lattice__top(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)=c_Orderings_Otop__class_Otop(A)|B!=c_Orderings_Otop__class_Otop(A)|C!=c_Orderings_Otop__class_Otop(A).
% 8.65/8.68 ** KEPT (pick-wt=72): 153 [] -c_Relation_Osingle__valued(A,A,B)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),C),D)),c_Transitive__Closure_Ortrancl(A,B)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OP
% 8.65/8.68 Search stopped in tp_alloc by max_mem option.
% 8.65/8.68 air(A,A),C),E)),c_Transitive__Closure_Ortrancl(A,B)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),E)),c_Transitive__Closure_Ortrancl(A,B)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),E),D)),c_Transitive__Closure_Ortrancl(A,B))).
% 8.65/8.68 ** KEPT (pick-wt=30): 154 [] hBOOL(hAPP(hAPP(c_member(A),B),c_Relation_ODomain(A,A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),D)),c_Transitive__Closure_Ortrancl(A,C)))|B=D.
% 8.65/8.68 ** KEPT (pick-wt=30): 155 [] hBOOL(hAPP(hAPP(c_member(A),B),c_Relation_ODomain(A,A,C)))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),D)),c_Transitive__Closure_Ortrancl(A,C)))|B!=D.
% 8.65/8.68 ** KEPT (pick-wt=103): 156 [] -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_Transitive__Closure_Ortrancl(tc_prod(A,B),G)))|hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)=hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)|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),$f36(G,F,E,D,C,B,A)),$f35(G,F,E,D,C,B,A)))),G)).
% 8.65/8.68 ** KEPT (pick-wt=107): 157 [] -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_Transitive__Closure_Ortrancl(tc_prod(A,B),G)))|hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)=hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)|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),$f36(G,F,E,D,C,B,A)),$f35(G,F,E,D,C,B,A))),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))).
% 8.65/8.68 ** KEPT (pick-wt=193): 158 [] -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_fun(B,tc_HOL_Obool))),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)),E),F))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(A,B),tc_HOL_Obool)),C),D))).
% 8.65/8.68
% 8.65/8.68 Search stopped in tp_alloc by max_mem option.
% 8.65/8.68
% 8.65/8.68 ============ end of search ============
% 8.65/8.68
% 8.65/8.68 -------------- statistics -------------
% 8.65/8.68 clauses given 0
% 8.65/8.68 clauses generated 0
% 8.65/8.68 clauses kept 155
% 8.65/8.68 clauses forward subsumed 20
% 8.65/8.68 clauses back subsumed 0
% 8.65/8.68 Kbytes malloced 11718
% 8.65/8.68
% 8.65/8.68 ----------- times (seconds) -----------
% 8.65/8.68 user CPU time 0.12 (0 hr, 0 min, 0 sec)
% 8.65/8.68 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 8.65/8.68 wall-clock time 8 (0 hr, 0 min, 8 sec)
% 8.65/8.68
% 8.65/8.68 Process 23631 finished Wed Jul 27 09:05:32 2022
% 8.65/8.68 Otter interrupted
% 8.65/8.68 PROOF NOT FOUND
%------------------------------------------------------------------------------