%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SCT151+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n020.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 13:12:35 EDT 2022

% Result   : Unknown 7.41s 7.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SCT151+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 09:08:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 7.35/7.36  ----- Otter 3.3f, August 2004 -----
% 7.35/7.36  The process was started by sandbox on n020.cluster.edu,
% 7.35/7.36  Wed Jul 27 09:08:08 2022
% 7.35/7.36  The command was "./otter".  The process ID is 23506.
% 7.35/7.36  
% 7.35/7.36  set(prolog_style_variables).
% 7.35/7.36  set(auto).
% 7.35/7.36     dependent: set(auto1).
% 7.35/7.36     dependent: set(process_input).
% 7.35/7.36     dependent: clear(print_kept).
% 7.35/7.36     dependent: clear(print_new_demod).
% 7.35/7.36     dependent: clear(print_back_demod).
% 7.35/7.36     dependent: clear(print_back_sub).
% 7.35/7.36     dependent: set(control_memory).
% 7.35/7.36     dependent: assign(max_mem, 12000).
% 7.35/7.36     dependent: assign(pick_given_ratio, 4).
% 7.35/7.36     dependent: assign(stats_level, 1).
% 7.35/7.36     dependent: assign(max_seconds, 10800).
% 7.35/7.36  clear(print_given).
% 7.35/7.36  
% 7.35/7.36  formula_list(usable).
% 7.35/7.36  all A (A=A).
% 7.35/7.36  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).
% 7.35/7.36  c_Arrow__Order__Mirabelle_OIIA(v_F).
% 7.35/7.36  c_Arrow__Order__Mirabelle_Ounanimity(v_F).
% 7.35/7.36  v_a____!=v_b____.
% 7.35/7.36  v_b____!=v_c____.
% 7.35/7.36  v_a____!=v_c____.
% 7.35/7.36  all B_i (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,B_i))).
% 7.35/7.36  all B_i (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,B_i))).
% 7.35/7.36  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_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.36  c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.36  c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))<->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2)).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2)).
% 7.35/7.36  all V_ca_2 T_a V_B_2 V_A_2 (V_A_2=V_B_2-> ((c_member(T_a,V_ca_2,V_A_2)-> -c_member(T_a,V_ca_2,V_B_2))-> -(-c_member(T_a,V_ca_2,V_A_2)->c_member(T_a,V_ca_2,V_B_2)))).
% 7.35/7.36  all V_z_2 V_L_2 V_y_2 V_x_2 (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2))).
% 7.35/7.36  all V_z_2 V_L_2 V_y_2 V_x_2 (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2))).
% 7.35/7.36  all V_y_2 V_x_2 V_R_2 T_b T_a (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))<->c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2)).
% 7.35/7.36  all T_a V_R_2 V_y_2 V_y_H_2 T_b V_x_2 V_Pa_2 (hBOOL(hAPP(V_Pa_2,V_x_2))-> (c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_y_H_2,V_y_2),hAPP(V_R_2,V_x_2))->c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_H_2),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2)),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)))).
% 7.35/7.36  all V_r_2 T_a (c_Nitpick_Orefl_H(T_a,V_r_2)<-> (all B_x c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2))).
% 7.35/7.36  all V_A_2 T_a V_ba_2 V_aa_2 (V_aa_2=V_ba_2-> (c_member(T_a,V_ba_2,V_A_2)->c_member(T_a,V_aa_2,V_A_2))).
% 7.35/7.36  all V_A_2 T_a V_y_2 V_x_2 (V_x_2=V_y_2-> (c_member(T_a,V_x_2,V_A_2)<->c_member(T_a,V_y_2,V_A_2))).
% 7.35/7.36  all V_x_2 T_a V_B_2 V_A_2 (V_A_2=V_B_2-> (c_member(T_a,V_x_2,V_A_2)<->c_member(T_a,V_x_2,V_B_2))).
% 7.35/7.36  all V_A_2 V_x_2 T_a (c_member(T_a,V_x_2,V_A_2)<->hBOOL(hAPP(V_A_2,V_x_2))).
% 7.35/7.36  all T_e T_d T_c T_a T_b V_x_H_2 V_g_H_2 V_f_H_2 V_x_2 V_g_2 V_f_2 (hAPP(V_f_2,hAPP(V_g_2,V_x_2))=hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))->hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2,V_g_2),V_x_2)=hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2,V_g_H_2),V_x_H_2)).
% 7.35/7.36  all V_r_2 T_a T_b (hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))=V_r_2).
% 7.35/7.36  all V_P_Ha_2 V_Pa_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)-> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)-> ((all B_i (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(V_P_Ha_2,B_i))))-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2))))))).
% 7.35/7.36  all V_P_Ha_2 V_Pa_2 V_b_H_2 V_a_H_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (V_a_H_2!=V_b_H_2-> (V_aa_2!=V_b_H_2-> (V_ba_2!=V_a_H_2-> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)-> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)-> ((all B_i (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(V_P_Ha_2,B_i))))-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(v_F,V_P_Ha_2)))))))))).
% 7.35/7.36  all V_P_Ha_2 V_Pa_2 V_b_H_2 V_a_H_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (V_a_H_2!=V_b_H_2-> (V_aa_2!=V_b_H_2-> (V_ba_2!=V_a_H_2-> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)-> (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)-> ((all B_i (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(V_P_Ha_2,B_i))))-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(v_F,V_P_Ha_2)))))))))).
% 7.35/7.36  all V_r_2 T_a (c_Relation_Oirrefl(T_a,V_r_2)<-> (all B_x (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2)))).
% 7.35/7.36  all V_Fa_2 (c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)<-> (all B_x (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 (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 (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,B_i))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,B_i))))-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)))))))))).
% 7.35/7.36  all V_Fa_2 (c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)<-> (all B_x (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 c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,B_i)))->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))))))).
% 7.35/7.36  all V_s_2 V_r_2 V_b_H_2 V_a_H_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),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))<->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_a_H_2),V_r_2)|V_aa_2=V_a_H_2&c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_ba_2,V_b_H_2),V_s_2)).
% 7.35/7.36  all V_i_2 V_Fa_2 (c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)<-> (all B_x (c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)->hAPP(V_Fa_2,B_x)=hAPP(B_x,V_i_2)))).
% 7.35/7.36  all V_r_2 V_yx_2 T_b T_a (c_member(tc_prod(T_a,T_b),V_yx_2,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))-> -(all B_x B_y (V_yx_2=c_Product__Type_OPair(T_a,T_b,B_y,B_x)-> -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,B_y),V_r_2)))).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)->c_member(T_b,V_ba_2,c_Relation_ORange(T_a,T_b,V_r_2))).
% 7.35/7.36  all V_A_2 T_a V_ba_2 V_aa_2 (V_aa_2=V_ba_2-> (c_member(T_a,V_aa_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId__on(T_a,V_A_2)))).
% 7.35/7.36  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).
% 7.35/7.36  all V_A_2 T_a (hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(T_a,V_A_2))=c_Relation_OId__on(T_a,V_A_2)).
% 7.35/7.36  all V_r_2 T_b V_aa_2 T_a (c_member(T_a,V_aa_2,c_Relation_ORange(T_b,T_a,V_r_2))<-> (exists B_y c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_aa_2),V_r_2))).
% 7.35/7.36  all V_A_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),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&c_member(T_a,V_x_2,V_A_2)).
% 7.35/7.36  all V_A_2 V_ca_2 T_a (c_member(tc_prod(T_a,T_a),V_ca_2,c_Relation_OId__on(T_a,V_A_2))-> -(all B_x (c_member(T_a,B_x,V_A_2)->V_ca_2!=c_Product__Type_OPair(T_a,T_a,B_x,B_x)))).
% 7.35/7.36  all V_r_2 T_b V_ba_2 T_a (c_member(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2))-> -(all B_x (-c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_ba_2),V_r_2)))).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)->c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 7.35/7.36  all V_r_2 V_aa_2 T_a (c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))<-> (all B_x (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,V_aa_2),V_r_2)->c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2))))).
% 7.35/7.36  all V_aa_2 V_r_2 V_ba_2 T_a (c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)->c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.35/7.36  all V_r_2 V_A_2 T_a (c_Relation_Ototal__on(T_a,V_A_2,V_r_2)<-> (all B_x (c_member(T_a,B_x,V_A_2)-> (all B_xa (c_member(T_a,B_xa,V_A_2)-> (B_x!=B_xa->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2))))))).
% 7.35/7.36  all V_f_2 V_r_2 T_b V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Relation_Oinv__image(T_b,T_a,V_r_2),V_f_2))<->c_member(tc_prod(T_b,T_b),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)).
% 7.35/7.36  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)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)->c_member(T_a,V_x_2,V_A_2))).
% 7.35/7.36  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)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)->c_member(T_a,V_y_2,V_A_2))).
% 7.35/7.36  all V_aa_2 V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,V_r_2)-> (c_member(T_a,V_aa_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2))).
% 7.35/7.36  all V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))<->c_Relation_Orefl__on(T_a,V_A_2,V_r_2)).
% 7.35/7.36  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).
% 7.35/7.36  all V_A_2 T_a c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 7.35/7.36  all V_f_2 V_R_2 T_b T_a (hAPP(c_Relation_Oconverse(T_a,T_a),hAPP(c_Relation_Oinv__image(T_b,T_a,V_R_2),V_f_2))=hAPP(c_Relation_Oinv__image(T_b,T_a,hAPP(c_Relation_Oconverse(T_b,T_b),V_R_2)),V_f_2)).
% 7.35/7.36  all V_r_2 V_A_2 T_a (c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))<->c_Relation_Ototal__on(T_a,V_A_2,V_r_2)).
% 7.35/7.36  all V_r_2 T_a T_b (c_Relation_ORange(T_b,T_a,hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))=c_Relation_ODomain(T_a,T_b,V_r_2)).
% 7.35/7.36  all V_r_2 T_b T_a (c_Relation_ODomain(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))=c_Relation_ORange(T_b,T_a,V_r_2)).
% 7.35/7.36  all V_r_2 T_a T_b (c_Relation_ORange(T_b,T_a,V_r_2)=c_Relation_ODomain(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))).
% 7.35/7.36  all V_r_2 T_b V_aa_2 T_a (c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))<-> (exists B_y c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,B_y),V_r_2))).
% 7.35/7.36  all V_r_2 T_b V_aa_2 T_a (c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))-> -(all B_y (-c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,B_y),V_r_2)))).
% 7.35/7.36  all V_R_2 V_x_2 T_a (-c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_R_2))-> -(all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_x_2),V_R_2)->c_member(T_a,B_z,c_Wellfounded_Oacc(T_a,V_R_2))))).
% 7.35/7.36  all V_r_2 V_x_2 T_a ((all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_x_2),V_r_2)->c_member(T_a,B_y,c_Wellfounded_Oacc(T_a,V_r_2))))->c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2))).
% 7.35/7.36  all V_ba_2 V_r_2 V_aa_2 T_a (c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.35/7.36  all V_r_2 V_aa_2 V_ba_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))->c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.35/7.36  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 (c_member(tc_prod(T_a,T_a),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))))))).
% 7.35/7.36  all V_ba_2 V_aa_2 V_L_2 (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)-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),V_L_2)-> -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),V_L_2))).
% 7.35/7.36  all V_y_2 V_x_2 V_L_2 (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-> (-c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_y_2,V_x_2),V_L_2)))).
% 7.35/7.36  all V_d_2 V_ca_2 T_d V_ba_2 V_aa_2 T_a T_b T_c (c_Fun_Ocomp(T_c,T_b,T_a,V_aa_2,V_ba_2)=c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2,V_d_2)-> (all B_v (hAPP(V_aa_2,hAPP(V_ba_2,B_v))=hAPP(V_ca_2,hAPP(V_d_2,B_v))))).
% 7.35/7.36  all V_L_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L_2),c_Arrow__Order__Mirabelle_OLin)<->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)).
% 7.35/7.36  all V_x_2 V_L_2 (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)->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)).
% 7.35/7.36  all V_x_2 V_L_2 (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)->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)).
% 7.35/7.36  all V_h_2 V_g_2 T_d V_f_2 T_a T_b T_c (c_Fun_Ocomp(T_c,T_b,T_a,V_f_2,c_Fun_Ocomp(T_d,T_c,T_a,V_g_2,V_h_2))=c_Fun_Ocomp(T_d,T_b,T_a,c_Fun_Ocomp(T_c,T_b,T_d,V_f_2,V_g_2),V_h_2)).
% 7.35/7.36  all V_x_2 V_g_2 V_f_2 T_c T_a T_b (hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2,V_g_2),V_x_2)=hAPP(V_f_2,hAPP(V_g_2,V_x_2))).
% 7.35/7.36  all V_v_2 V_d_2 V_ca_2 T_d V_ba_2 V_aa_2 T_a T_b T_c (c_Fun_Ocomp(T_c,T_b,T_a,V_aa_2,V_ba_2)=c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2,V_d_2)->hAPP(V_aa_2,hAPP(V_ba_2,V_v_2))=hAPP(V_ca_2,hAPP(V_d_2,V_v_2))).
% 7.35/7.36  all V_r_2 V_aa_2 T_a c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.36  all V_r_2 V_p_2 T_a (c_member(tc_prod(T_a,T_a),V_p_2,V_r_2)->c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.35/7.36  all V_y_2 V_R_2 V_x_2 T_a (-c_member(T_a,V_x_2,c_Relation_ODomain(T_a,T_a,V_R_2))-> (c_member(tc_prod(T_a,T_a),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)).
% 7.35/7.36  all V_y_2 V_x_2 V_L_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (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)-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))<->V_x_2!=V_y_2& (V_x_2=V_ba_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2))& (V_x_2!=V_ba_2-> (V_y_2=V_ba_2->V_x_2=V_aa_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2))& (V_y_2!=V_ba_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)))))).
% 7.35/7.36  all V_y_2 V_x_2 V_L_2 V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (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)-> (c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))<->V_x_2!=V_y_2& (V_y_2=V_aa_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2))& (V_y_2!=V_aa_2-> (V_x_2=V_aa_2->V_y_2=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2))& (V_x_2!=V_aa_2->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)))))).
% 7.35/7.36  all V_r_2 V_x_2 V_y_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))).
% 7.35/7.36  all V_r_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.35/7.36  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)).
% 7.35/7.36  all V_r_2 T_a (c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))=hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.35/7.36  all V_L_2 V_y_2 V_x_2 (V_x_2!=V_y_2-> (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)->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))).
% 7.35/7.36  all V_L_2 V_y_2 V_x_2 (V_x_2!=V_y_2-> (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)->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))).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 7.35/7.36  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)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_z_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))).
% 7.35/7.36  all V_ba_2 V_aa_2 (V_aa_2!=V_ba_2-> (exists B_x (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),B_x,c_Arrow__Order__Mirabelle_OLin)&c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),B_x)))).
% 7.35/7.36  all V_Pa_2 V_r_2 V_by_2 V_bx_2 V_ay_2 V_ax_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),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_Pa_2,V_ax_2),V_ay_2))-> ((all B_a B_b (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),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 (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_a,B_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba)),V_r_2)-> (hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))->hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)))))))->hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))))).
% 7.35/7.36  all V_Pa_2 V_r_2 V_by_2 V_bx_2 V_ay_2 V_ax_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),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_Pa_2,V_bx_2),V_by_2))-> ((all B_a B_b B_aa B_ba (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_a,B_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba)),V_r_2)-> (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_aa,B_ba),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_Pa_2,B_aa),B_ba))->hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))))))->hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))))).
% 7.35/7.36  all V_r_2 V_zb_2 V_za_2 V_xb_2 V_xa_2 T_b T_a (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),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))-> (c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2)!=c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)-> -(all B_a B_b (c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,B_a,B_b)),V_r_2)-> -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_a,B_b),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)))))).
% 7.35/7.36  all V_g_2 V_Fa_2 T_b V_R_2 V_x_2 T_a ((all B_z (c_member(tc_prod(T_a,T_a),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))).
% 7.35/7.36  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 (c_member(tc_prod(T_a,T_a),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))))))).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (V_aa_2!=V_ba_2-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,B_y),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_ba_2),V_r_2))))).
% 7.35/7.36  all V_A_2 T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.35/7.36  all V_r_2 T_b T_a (c_Relation_Osingle__valued(T_a,T_b,V_r_2)<-> (all B_x B_y (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_y),V_r_2)-> (all B_z (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_z),V_r_2)->B_y=B_z))))).
% 7.35/7.36  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)-> (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_r_2)-> (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_z_2),V_r_2)->V_y_2=V_z_2))).
% 7.35/7.36  all V_r_2 T_b T_a ((all B_x B_y (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_y),V_r_2)-> (all B_z (c_member(tc_prod(T_a,T_b),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)).
% 7.35/7.36  all V_Pa_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_Pa_2,V_aa_2))-> ((all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,B_y),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (all B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)-> (hBOOL(hAPP(V_Pa_2,B_y))->hBOOL(hAPP(V_Pa_2,B_z)))))))->hBOOL(hAPP(V_Pa_2,V_ba_2))))).
% 7.35/7.36  all V_Pa_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_Pa_2,V_ba_2))-> ((all B_y B_z (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_Pa_2,B_z))->hBOOL(hAPP(V_Pa_2,B_y))))))->hBOOL(hAPP(V_Pa_2,V_aa_2))))).
% 7.35/7.36  all V_r_2 V_z_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),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 (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,B_y),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.35/7.36  all V_v_2 V_ca_2 V_ba_2 V_aa_2 T_a T_b T_c (c_Fun_Ocomp(T_c,T_b,T_a,V_aa_2,V_ba_2)=V_ca_2->hAPP(V_aa_2,hAPP(V_ba_2,V_v_2))=hAPP(V_ca_2,V_v_2)).
% 7.35/7.36  all T_b V_aa_2 V_x_2 T_a B_f B_R (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),B_R)->hAPP(c_Recdef_Ocut(T_a,T_b,B_f,B_R,V_aa_2),V_x_2)=hAPP(B_f,V_x_2)).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.35/7.36  all V_r_2 V_p_2 T_a (c_member(tc_prod(T_a,T_a),V_p_2,V_r_2)->c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.35/7.36  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)).
% 7.35/7.36  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)).
% 7.35/7.36  all V_r_2 T_a (c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))=hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.35/7.36  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)).
% 7.35/7.36  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)).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_ca_2 V_R_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_R_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),V_R_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)))).
% 7.35/7.36  all V_z_2 V_r_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_R_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))->V_aa_2=V_ba_2|V_aa_2!=V_ba_2&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 7.35/7.36  all V_ca_2 V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_R_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),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&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 7.35/7.36  all V_r_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_r_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))).
% 7.35/7.36  all V_f_2 T_b V_r_2 V_aa_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2)->hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_aa_2),V_x_2)=hAPP(V_f_2,V_x_2)).
% 7.35/7.36  all V_g_2 V_x_2 V_r_2 V_f_2 T_b T_a (c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)<-> (all B_y (c_member(tc_prod(T_a,T_a),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)))).
% 7.35/7.36  all V_R_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),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 (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,B_z),V_R_2)&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))))).
% 7.35/7.36  all V_R_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),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 (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,B_z),c_Transitive__Closure_Ortrancl(T_a,V_R_2))&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_y_2),V_R_2)))).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Oacyclic(T_a,V_r_2)<-> (all B_x (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),c_Transitive__Closure_Otrancl(T_a,V_r_2))))).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> -(all B_c (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,B_c),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_c,V_ba_2),V_r_2))))).
% 7.35/7.36  all V_r_2 V_z_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))-> (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),V_r_2)-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,B_y),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))))).
% 7.35/7.36  all V_y_2 V_x_2 V_r_2 T_a ((all B_x (-c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),c_Transitive__Closure_Otrancl(T_a,V_r_2))))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)->V_x_2!=V_y_2)).
% 7.35/7.36  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,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)).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))<->c_Wellfounded_Oacyclic(T_a,V_r_2)).
% 7.35/7.36  all V_r_2 T_a ((all B_x (-c_member(tc_prod(T_a,T_a),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)).
% 7.35/7.36  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),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)& -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Oacyclic(T_a,V_r_2)->c_Relation_Oantisym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.35/7.36  all V_aa_2 T_a c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),c_Relation_OId(T_a)).
% 7.35/7.36  exists B_L 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).
% 7.35/7.36  all T_b T_a V_Pa_2 ((all B_x1 hBOOL(hAPP(V_Pa_2,B_x1)))<-> (all B_a B_b hBOOL(hAPP(V_Pa_2,c_Product__Type_OPair(T_a,T_b,B_a,B_b))))).
% 7.35/7.36  all V_ba_2 V_B_2 V_aa_2 T_a ((-c_member(T_a,V_aa_2,V_B_2)->V_aa_2=V_ba_2)->c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2))).
% 7.35/7.36  all V_A_2 V_ba_2 V_aa_2 T_a (c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))-> (V_aa_2!=V_ba_2->c_member(T_a,V_aa_2,V_A_2))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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)).
% 7.35/7.36  all T_a c_Relation_Oantisym(T_a,c_Relation_OId(T_a)).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_b T_a (c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2))=c_Set_Oinsert(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 7.35/7.36  all V_r_2 V_ba_2 V_aa_2 T_a T_b (c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_aa_2,V_ba_2),V_r_2))=c_Set_Oinsert(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2))).
% 7.35/7.36  all V_A_2 V_aa_2 T_a (c_member(T_a,V_aa_2,V_A_2)->c_Set_Oinsert(T_a,V_aa_2,V_A_2)=V_A_2).
% 7.35/7.36  all V_ba_2 V_B_2 V_aa_2 T_a (c_member(T_a,V_aa_2,V_B_2)->c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2))).
% 7.35/7.36  all V_B_2 V_A_2 V_x_2 T_a (-c_member(T_a,V_x_2,V_A_2)-> (-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))).
% 7.35/7.36  all V_A_2 V_ba_2 V_aa_2 T_a (c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))<->V_aa_2=V_ba_2|c_member(T_a,V_aa_2,V_A_2)).
% 7.35/7.36  all V_B_2 V_aa_2 T_a c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2)).
% 7.35/7.36  all T_a (hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a))=c_Relation_OId(T_a)).
% 7.35/7.36  all T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 7.35/7.36  all V_r_2 T_a (c_Relation_Oantisym(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))<->c_Relation_Oantisym(T_a,V_r_2)).
% 7.35/7.36  all V_A_2 T_a c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.35/7.36  all V_ba_2 V_aa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId(T_a))<->V_aa_2=V_ba_2).
% 7.35/7.36  all V_ba_2 V_aa_2 V_r_2 T_a (c_Relation_Oantisym(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),V_r_2)->V_aa_2=V_ba_2))).
% 7.35/7.36  all V_r_2 T_a (c_Relation_Oantisym(T_a,V_r_2)<-> (all B_x B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_r_2)->B_x=B_y)))).
% 7.35/7.36  all V_b_H V_a_H V_b V_a T_b T_a (c_Product__Type_OPair(T_a,T_b,V_a,V_b)=c_Product__Type_OPair(T_a,T_b,V_a_H,V_b_H)-> -(V_a=V_a_H->V_b!=V_b_H)).
% 7.35/7.36  all V_b_H_2 V_a_H_2 V_ba_2 V_aa_2 T_b T_a (c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)<->V_aa_2=V_a_H_2&V_ba_2=V_b_H_2).
% 7.35/7.36  all V_ba_2 V_aa_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,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))=hAPP(hAPP(V_f1_2,V_aa_2),V_ba_2)).
% 7.35/7.36  all V_p_2 T_a (c_member(tc_prod(T_a,T_a),V_p_2,c_Relation_OId(T_a))-> -(all B_x (V_p_2!=c_Product__Type_OPair(T_a,T_a,B_x,B_x)))).
% 7.35/7.36  all V_ba_2 V_aa_2 V_ca_2 T_a T_c T_b (c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_ca_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))=hAPP(hAPP(V_ca_2,V_aa_2),V_ba_2)).
% 7.35/7.36  all V_r_2 V_x_2 V_y_2 T_a (c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))<->c_Wellfounded_Owf(T_a,V_r_2)& -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.35/7.36  all V_r_2 T_a ((all B_x B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_r_2)->B_x=B_y)))->c_Relation_Oantisym(T_a,V_r_2)).
% 7.35/7.36  all V_ba_2 V_aa_2 T_b T_a V_f_2 (hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)))->hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))).
% 7.35/7.36  all V_f_2 T_b V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oinv__image(T_a,T_b,V_r_2),V_f_2))).
% 7.35/7.36  all V_rb_2 T_b V_ra_2 T_a (c_Wellfounded_Owf(T_a,V_ra_2)-> (c_Wellfounded_Owf(T_b,V_rb_2)->c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)))).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Oacyclic(T_a,V_r_2)).
% 7.35/7.36  all V_aa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2)).
% 7.35/7.36  all V_x_2 V_aa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_x_2),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2))).
% 7.35/7.36  all V_x_2 V_aa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_x_2),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2))).
% 7.35/7.36  all V_aa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2)).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)<-> (all B_x c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 7.35/7.36  all V_x_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2))).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))->c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 7.35/7.36  all V_ba_2 V_aa_2 V_f_2 T_b T_a (hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))->hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)))).
% 7.35/7.36  all V_ba_2 V_aa_2 V_f_2 T_b T_a (hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))->hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)))).
% 7.35/7.36  all V_ba_2 V_aa_2 V_f_2 T_a T_c T_b (c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2,V_aa_2,V_ba_2)=hAPP(V_f_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))).
% 7.35/7.36  all V_f_2 T_a c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)).
% 7.35/7.36  all T_b T_a B_M B_R (c_Wellfounded_Owf(T_a,B_R)-> (all B_x (hAPP(c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_x)=hAPP(hAPP(B_M,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_R,B_x)),B_x)))).
% 7.35/7.36  all V_aa_2 V_H_2 T_b V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->hAPP(c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_aa_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_r_2,V_aa_2)),V_aa_2)).
% 7.35/7.36  all V_aa_2 V_H_2 V_r_2 T_b T_a V_f_2 (V_f_2=c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2)-> (c_Wellfounded_Owf(T_a,V_r_2)->hAPP(V_f_2,V_aa_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_aa_2)),V_aa_2))).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)<-> (all B_Q ((exists B_x c_member(T_a,B_x,B_Q))-> (exists B_x (c_member(T_a,B_x,B_Q)& (all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_r_2)-> -c_member(T_a,B_y,B_Q)))))))).
% 7.35/7.36  all T_a V_R_2 T_b V_Pa_2 ((all B_x (hBOOL(hAPP(V_Pa_2,B_x))->c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x))))->c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2))).
% 7.35/7.36  all V_R_2 T_a (c_Wellfounded_Owf(T_a,V_R_2)->c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2))).
% 7.35/7.36  all V_r_2 T_a ((all B_x c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)))->c_Wellfounded_Owf(T_a,V_r_2)).
% 7.35/7.36  all V_f_2 V_y_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2))).
% 7.35/7.36  all T_a (c_Wellfounded_Omeasure(T_a)=c_Relation_Oinv__image(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than)).
% 7.35/7.36  c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than).
% 7.35/7.36  all V_y_2 V_x_2 (c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_x_2,V_y_2),c_Wellfounded_Oless__than)<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2)).
% 7.35/7.36  all V_R_2 T_a V_y_2 V_x_2 V_f_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2))->c_member(tc_prod(T_a,T_a),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))).
% 7.35/7.36  c_Wellfounded_Oless__than=c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat).
% 7.35/7.36  all V_r_2 T_a (c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)-> (c_Wellfounded_Oacyclic(T_a,V_r_2)->c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_r_2))).
% 7.35/7.36  all V_Pa_2 V_n_2 V_m_2 ((c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)->hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)))-> ((V_m_2=V_n_2->hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)))-> ((c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)->hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)))->hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2))))).
% 7.35/7.36  all V_r_2 T_b T_a (c_Finite__Set_Ofinite(tc_prod(T_a,T_b),V_r_2)->c_Finite__Set_Ofinite(T_a,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 7.35/7.36  all V_r_2 T_b T_a (c_Finite__Set_Ofinite(tc_prod(T_a,T_b),V_r_2)->c_Finite__Set_Ofinite(T_b,c_Relation_ORange(T_a,T_b,V_r_2))).
% 7.35/7.36  c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat).
% 7.35/7.36  all V_r_2 T_a (c_Finite__Set_Ofinite(tc_prod(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))<->c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)).
% 7.35/7.36  all V_r_2 T_b T_a (c_Finite__Set_Ofinite(tc_prod(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))<->c_Finite__Set_Ofinite(tc_prod(T_b,T_a),V_r_2)).
% 7.35/7.36  all V_r_2 T_a (c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)-> (c_Wellfounded_Owf(T_a,V_r_2)<->c_Wellfounded_Oacyclic(T_a,V_r_2))).
% 7.35/7.36  all V_r_2 T_a (c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)-> (c_Wellfounded_Oacyclic(T_a,V_r_2)->c_Wellfounded_Owf(T_a,V_r_2))).
% 7.35/7.36  all V_n_2 V_m_2 (c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_m_2,V_n_2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)).
% 7.35/7.36  all V_f_2 V_R_2 T_a (c_Wellfounded_Owf(T_a,V_R_2)->c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))).
% 7.35/7.36  all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n)).
% 7.35/7.36  all V_n_2 V_m_2 (V_m_2!=V_n_2<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)).
% 7.35/7.36  all V_y V_x (V_x!=V_y-> (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x))).
% 7.35/7.36  all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n)).
% 7.35/7.36  all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)->V_m!=V_n).
% 7.35/7.36  all V_t V_s (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)->V_s!=V_t).
% 7.35/7.36  all V_aa_2 V_A_2 T_a (c_Finite__Set_Ofinite(T_a,V_A_2)->c_Finite__Set_Ofinite(T_a,c_Set_Oinsert(T_a,V_aa_2,V_A_2))).
% 7.35/7.36  all V_r_2 T_a (c_Nitpick_Owf_H(T_a,V_r_2)<->c_Wellfounded_Oacyclic(T_a,V_r_2)& (c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)|c_Nitpick_Ounknown(tc_HOL_Obool))).
% 7.35/7.36  all V_A_2 V_aa_2 T_a (c_Finite__Set_Ofinite(T_a,c_Set_Oinsert(T_a,V_aa_2,V_A_2))<->c_Finite__Set_Ofinite(T_a,V_A_2)).
% 7.35/7.36  all T_a c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)).
% 7.35/7.36  all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_r_2))).
% 7.35/7.36  all V_A_2 T_a (class_Finite__Set_Ofinite(T_a)->c_Finite__Set_Ofinite(T_a,V_A_2)).
% 7.35/7.36  all V_A_2 T_a (class_Finite__Set_Ofinite(T_a)->c_Finite__Set_Ofinite(T_a,V_A_2)).
% 7.35/7.36  all V_x_2 V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)->hAPP(V_Fa_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_f_2,V_x_2)))).
% 7.35/7.36  all V_x_2 V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)-> (c_member(T_a,V_x_2,V_A_2)->c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_f_2,V_x_2))=hAPP(V_Fa_2,V_A_2)))).
% 7.35/7.36  all V_x_2 V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)-> (-c_member(T_a,V_x_2,V_A_2)->hAPP(V_Fa_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_f_2,V_x_2))))).
% 7.35/7.36  all V_x_2 V_A_2 V_Fa_2 V_g_2 V_z_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_b,V_A_2)-> (-c_member(T_b,V_x_2,V_A_2)->hAPP(V_Fa_2,c_Set_Oinsert(T_b,V_x_2,V_A_2))=hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2))))).
% 7.35/7.36  all V_h_2 V_g_2 T_f V_f_2 T_c T_d T_e V_Fa_2 V_fa_2 T_b T_a (c_Finite__Set_Ofolding(T_a,T_b,V_fa_2,V_Fa_2)->c_Fun_Ocomp(T_e,T_d,T_c,V_f_2,c_Fun_Ocomp(T_f,T_e,T_c,V_g_2,V_h_2))=c_Fun_Ocomp(T_f,T_d,T_c,c_Fun_Ocomp(T_e,T_d,T_f,V_f_2,V_g_2),V_h_2)).
% 7.35/7.36  all V_x_2 V_y_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)->c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2),hAPP(V_f_2,V_x_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2))).
% 7.35/7.36  all V_g_2 V_x_2 V_y_2 T_c V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)->c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),V_g_2))=c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2),V_g_2))).
% 7.35/7.36  all V_x_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)->c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_x_2))=hAPP(V_f_2,V_x_2)).
% 7.35/7.36  all V_g_2 V_x_2 T_c V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)->c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),V_g_2))=c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),V_g_2)).
% 7.35/7.36  all V_g_2 T_c V_B_2 V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)-> (c_Finite__Set_Ofinite(T_a,V_B_2)->c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_B_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2),V_g_2))=c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_B_2),V_g_2))))).
% 7.35/7.36  all V_B_2 V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)-> (c_Finite__Set_Ofinite(T_a,V_B_2)->c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_B_2),hAPP(V_Fa_2,V_A_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_Fa_2,V_B_2))))).
% 7.35/7.36  all V_g_2 V_x_2 T_c V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)->c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2),V_g_2))=c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),V_g_2)))).
% 7.35/7.36  all V_x_2 V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)->c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,V_A_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_f_2,V_x_2)))).
% 7.35/7.36  all V_t_2 V_s_2 V_ba_2 V_aa_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_ba_2)->c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_aa_2,V_s_2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_ba_2,V_t_2)),c_FunDef_Opair__le_q)).
% 7.35/7.36  all V_x_2 V_A_2 V_Fa_2 V_g_2 V_z_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_b,V_A_2)->hAPP(V_Fa_2,c_Set_Oinsert(T_b,V_x_2,V_A_2))=hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2)))).
% 7.35/7.36  all V_x_2 V_A_2 V_Fa_2 V_g_2 V_z_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_b,V_A_2)-> (c_member(T_b,V_x_2,V_A_2)->hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2))=hAPP(V_Fa_2,V_A_2)))).
% 7.35/7.36  all V_t_2 V_s_2 V_ba_2 V_aa_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_ba_2)->c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_aa_2,V_s_2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_ba_2,V_t_2)),c_FunDef_Opair__less)).
% 7.35/7.36  c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less).
% 7.35/7.36  all V_x_2 V_Fa_2 V_g_2 V_z_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)->hAPP(hAPP(V_f_2,V_x_2),V_x_2)=V_x_2).
% 7.35/7.36  c_FunDef_Opair__less=c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than).
% 7.35/7.36  all V_XS_2 V_x_2 V_YS_2 V_y_2 (c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_y_2,V_YS_2)-> (c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_y_2),c_FunDef_Opair__le_q)-> (c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,V_YS_2),c_FunDef_Omax__weak)->c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_XS_2),V_YS_2),c_FunDef_Omax__weak)))).
% 7.35/7.36  all V_YS_2 V_y_2 V_XS_2 V_x_2 (c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_XS_2)-> (c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_y_2),c_FunDef_Opair__le_q)-> (c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,V_YS_2),c_FunDef_Omin__weak)->c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_y_2,V_YS_2)),c_FunDef_Omin__weak)))).
% 7.35/7.36  all V_X_2 V_x_2 V_Y_2 V_y_2 (c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_y_2,V_Y_2)-> (c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_y_2),c_FunDef_Opair__less)-> (c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_X_2,V_Y_2),c_FunDef_Omax__strict)->c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_X_2),V_Y_2),c_FunDef_Omax__strict)))).
% 7.35/7.36  all V_YS_2 V_y_2 V_XS_2 V_x_2 (c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_XS_2)-> (c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_y_2),c_FunDef_Opair__less)-> (c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,V_YS_2),c_FunDef_Omin__strict)->c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_y_2,V_YS_2)),c_FunDef_Omin__strict)))).
% 7.35/7.36  c_FunDef_Omax__strict=c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less).
% 7.35/7.36  c_FunDef_Omin__strict=c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less).
% 7.35/7.36  c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)).
% 7.35/7.36  c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)).
% 7.35/7.36  all V_t_2 V_s_2 V_ba_2 V_aa_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_aa_2,V_ba_2)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s_2,V_t_2)->c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_aa_2,V_s_2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_ba_2,V_t_2)),c_FunDef_Opair__less))).
% 7.35/7.36  all V_t_2 V_s_2 V_ba_2 V_aa_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_aa_2,V_ba_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_s_2,V_t_2)->c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_aa_2,V_s_2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_ba_2,V_t_2)),c_FunDef_Opair__le_q))).
% 7.35/7.36  all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|V_m=V_n->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)).
% 7.35/7.36  all V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)-> (V_m!=V_n->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n))).
% 7.35/7.36  all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)).
% 7.35/7.36  all V_n_2 V_m_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2=V_n_2).
% 7.35/7.36  all V_n_2 V_m_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)&V_m_2!=V_n_2).
% 7.35/7.36  all V_n c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_n).
% 7.35/7.36  all V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)).
% 7.35/7.36  all V_n V_m (V_m=V_n->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)).
% 7.35/7.36  all V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j,V_k)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_k))).
% 7.35/7.36  all V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)->V_m=V_n)).
% 7.35/7.36  all V_y V_x (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,V_y)).
% 7.35/7.36  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))-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_R_2)->c_member(tc_prod(T_a,T_a),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)))).
% 7.35/7.36  all V_n_2 V_m_2 (c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_m_2,V_n_2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)).
% 7.35/7.36  all V_x T_a (class_Orderings_Opreorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x)).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2))).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2))).
% 7.35/7.36  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(T_a,V_y,V_x)).
% 7.35/7.36  all V_ca_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_member(T_a,V_ca_2,V_A_2)->c_member(T_a,V_ca_2,V_B_2))).
% 7.35/7.36  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)-> (c_member(T_a,V_x_2,V_A_2)->c_member(T_a,V_x_2,V_B_2))).
% 7.35/7.36  all V_B_2 V_A_2 V_x_2 T_a (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)->c_member(T_a,V_x_2,V_B_2))).
% 7.35/7.36  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)-> (c_member(T_a,V_x_2,V_A_2)->c_member(T_a,V_x_2,V_B_2))).
% 7.35/7.36  all V_p_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_p_2,V_r_2)->c_Wellfounded_Owf(T_a,V_p_2))).
% 7.35/7.36  all V_aa_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_aa_2,V_B_2)).
% 7.35/7.36  all V_ba_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_ba_2,V_B_2))).
% 7.35/7.36  all V_aa_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_aa_2,V_C_2),c_Set_Oinsert(T_a,V_aa_2,V_D_2))).
% 7.35/7.36  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_Relation_Oantisym(T_a,V_s_2)->c_Relation_Oantisym(T_a,V_r_2))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  all V_p_2 V_r_2 T_a (c_Wellfounded_OwfP(T_a,V_r_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_p_2,V_r_2)->c_Wellfounded_OwfP(T_a,V_p_2))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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_Finite__Set_Ofinite(T_a,V_B_2)->c_Finite__Set_Ofinite(T_a,V_A_2))).
% 7.35/7.36  all V_A_2 V_B_2 T_a (c_Finite__Set_Ofinite(T_a,V_B_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_Finite__Set_Ofinite(T_a,V_A_2))).
% 7.35/7.36  all V_ca_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_member(T_a,V_ca_2,V_A_2)->c_member(T_a,V_ca_2,V_B_2))).
% 7.35/7.36  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)<->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)).
% 7.35/7.36  all V_B_2 V_A_2 V_x_2 T_a (-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))).
% 7.35/7.36  all V_s_2 V_r_2 V_p_2 T_a (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)->c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_s_2)))).
% 7.35/7.36  all V_B_2 V_A_2 V_Fa_2 V_g_2 V_z_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_b,V_A_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),V_B_2,V_A_2)->hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_B_2)),hAPP(V_Fa_2,V_A_2))=hAPP(V_Fa_2,V_A_2)))).
% 7.35/7.36  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))))).
% 7.35/7.36  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)).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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)))).
% 7.35/7.36  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))).
% 7.35/7.36  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)))).
% 7.35/7.36  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)))).
% 7.35/7.36  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)))).
% 7.35/7.36  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)))).
% 7.35/7.36  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))).
% 7.35/7.36  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)))).
% 7.35/7.36  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))).
% 7.35/7.36  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)))).
% 7.35/7.36  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)))).
% 7.35/7.36  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))).
% 7.35/7.36  all V_x T_a (class_Orderings_Opreorder(T_a)-> -c_Orderings_Oord__class_Oless(T_a,V_x,V_x)).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (V_x_2!=V_y_2<->c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2))).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|V_x_2=V_y_2)).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Olinorder(T_a)->c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x)).
% 7.35/7.36  all V_x_2 V_y_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->V_x_2=V_y_2))).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (V_x!=V_y-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_x!=V_y)).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_x!=V_y)).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_y!=V_x)).
% 7.35/7.36  all V_b V_a T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> -c_Orderings_Oord__class_Oless(T_a,V_b,V_a))).
% 7.35/7.36  all V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> -c_Orderings_Oord__class_Oless(T_a,V_a,V_b))).
% 7.35/7.36  all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless(T_a,V_a,V_c)))).
% 7.35/7.36  all V_c V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_b)->c_Orderings_Oord__class_Oless(T_a,V_c,V_a)))).
% 7.35/7.36  all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (V_b=V_c->c_Orderings_Oord__class_Oless(T_a,V_a,V_c)))).
% 7.35/7.36  all V_c V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (V_b=V_c->c_Orderings_Oord__class_Oless(T_a,V_c,V_a)))).
% 7.35/7.36  all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 7.35/7.36  all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (V_x!=V_y->c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))).
% 7.35/7.36  all V_B_2 V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)->c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_Fa_2,V_B_2))=hAPP(V_Fa_2,V_A_2)))).
% 7.35/7.36  all V_B_2 V_A_2 T_a (c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Wellfounded_Ofinite__psubset(T_a))<->c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)&c_Finite__Set_Ofinite(T_a,V_B_2)).
% 7.35/7.36  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(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 7.35/7.36  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(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 7.35/7.36  all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 7.35/7.36  all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 7.35/7.36  all 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_a!=V_b->c_Orderings_Oord__class_Oless(T_a,V_b,V_a)))).
% 7.35/7.36  all V_b V_a T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (V_a!=V_b->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 7.35/7.36  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(T_a,V_x,V_y)|V_x=V_y)).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->V_x_2=V_y_2))).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y))).
% 7.35/7.36  all V_x V_y T_a (class_Orderings_Olinorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> -c_Orderings_Oord__class_Oless(T_a,V_x,V_y))).
% 7.35/7.36  all 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_b,V_a)->c_Orderings_Oord__class_Oless(T_a,V_b,V_a)))).
% 7.35/7.36  all 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_a,V_b)->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->V_x_2=V_y_2))).
% 7.35/7.36  all V_x V_y T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->c_Orderings_Oord__class_Oless(T_a,V_x,V_y))).
% 7.35/7.36  all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x))).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)<->c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2=V_y_2)).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->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))).
% 7.35/7.36  all V_y_2 V_x_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)&V_x_2!=V_y_2)).
% 7.35/7.36  all V_f_2 T_b V_Pa_2 T_a (c_FunDef_Oreduction__pair(T_a,V_Pa_2)->c_FunDef_Oreduction__pair(T_b,c_FunDef_Orp__inv__image(T_a,T_b,V_Pa_2,V_f_2))).
% 7.35/7.36  all V_S_2 V_R_2 T_a (c_Wellfounded_Owf(T_a,V_R_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_S_2),V_R_2)->c_FunDef_Oreduction__pair(T_a,c_Product__Type_OPair(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)))).
% 7.35/7.36  all V_X_2 c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_X_2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__weak).
% 7.35/7.36  all V_X_2 (V_X_2!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))->c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_X_2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict)).
% 7.35/7.36  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)).
% 7.35/7.36  all V_aa_2 T_a (-c_member(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.35/7.36  all T_a c_Finite__Set_Ofinite(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.36  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).
% 7.35/7.36  all T_a c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.35/7.36  all V_s_2 V_ca_2 T_c V_r_2 V_ba_2 V_aa_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)-> (c_member(tc_prod(T_b,T_c),c_Product__Type_OPair(T_b,T_c,V_ba_2,V_ca_2),V_s_2)->c_member(tc_prod(T_a,T_c),c_Product__Type_OPair(T_a,T_c,V_aa_2,V_ca_2),c_Relation_Orel__comp(T_a,T_b,T_c,V_r_2,V_s_2)))).
% 7.35/7.36  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)))).
% 7.35/7.36  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).
% 7.35/7.36  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))).
% 7.35/7.36  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)).
% 7.35/7.36  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)).
% 7.35/7.36  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)).
% 7.35/7.36  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)).
% 7.35/7.36  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))).
% 7.35/7.36  all V_s_2 V_s_H_2 T_c V_r_2 V_r_H_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_H_2,V_r_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_s_H_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_b,T_c,V_r_H_2,V_s_H_2),c_Relation_Orel__comp(T_a,T_b,T_c,V_r_2,V_s_2)))).
% 7.35/7.36  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))).
% 7.35/7.36  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)).
% 7.35/7.36  all V_g_2 V_f_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)<->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(tc_fun(T_a,T_b),V_g_2,V_f_2))).
% 7.35/7.36  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(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)->c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.35/7.36  all V_C_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless(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(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.35/7.36  all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless(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,V_B_2)).
% 7.35/7.36  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(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|V_A_2=V_B_2).
% 7.35/7.36  all V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless(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,V_B_2)&V_A_2!=V_B_2).
% 7.35/7.36  all V_R_2 T_a (c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.35/7.36  all V_r_2 T_a (c_Relation_Orel__comp(T_a,T_a,T_a,V_r_2,c_Transitive__Closure_Ortrancl(T_a,V_r_2))=c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2),V_r_2)).
% 7.35/7.36  all V_A_2 T_a (-c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.35/7.36  all V_C_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)-> (c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)->c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.35/7.36  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)).
% 7.35/7.36  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).
% 7.35/7.36  all V_A_2 T_a ((all B_x (-c_member(T_a,B_x,V_A_2)))<->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.36  all V_A_2 T_a ((exists B_x c_member(T_a,B_x,V_A_2))<->V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.36  all V_ca_2 T_a (-c_member(T_a,V_ca_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 7.35/7.36  all V_aa_2 T_a V_A_2 (V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))-> -c_member(T_a,V_aa_2,V_A_2)).
% 7.35/7.36  all V_R_2 T_a (c_Wellfounded_Owf(T_a,V_R_2)<->c_Wellfounded_Owf(T_a,c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_R_2))).
% 7.35/7.36  all V_A_2 V_aa_2 T_a (c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_aa_2,V_A_2)).
% 7.35/7.36  all V_A_2 V_aa_2 T_a (c_Set_Oinsert(T_a,V_aa_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.36  all V_d_2 V_ca_2 V_ba_2 V_aa_2 T_a (c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_ca_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_aa_2=V_ca_2&V_ba_2=V_d_2|V_aa_2=V_d_2&V_ba_2=V_ca_2).
% 7.35/7.36  all V_ba_2 V_aa_2 T_a (c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))->V_aa_2=V_ba_2).
% 7.35/7.36  all V_R_2 T_a (c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_R_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))->c_Wellfounded_Owf(T_a,V_R_2)).
% 7.35/7.36  all V_s_2 T_c V_r_2 T_b T_a (c_Relation_Osingle__valued(T_a,T_b,V_r_2)-> (c_Relation_Osingle__valued(T_b,T_c,V_s_2)->c_Relation_Osingle__valued(T_a,T_c,c_Relation_Orel__comp(T_a,T_b,T_c,V_r_2,V_s_2)))).
% 7.35/7.36  all V_R_2 T_b T_a (c_Relation_Orel__comp(T_a,T_b,T_b,V_R_2,c_Relation_OId(T_b))=V_R_2).
% 7.35/7.36  all V_R_2 T_b T_a (c_Relation_Orel__comp(T_a,T_a,T_b,c_Relation_OId(T_a),V_R_2)=V_R_2).
% 7.35/7.36  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))).
% 7.35/7.36  all V_R_2 T_b T_c T_a (c_Relation_Orel__comp(T_a,T_c,T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_R_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))).
% 7.35/7.36  all V_R_2 T_b T_c T_a (c_Relation_Orel__comp(T_a,T_c,T_b,V_R_2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))).
% 7.35/7.36  all V_T_2 V_S_2 V_R_2 T_d T_b T_c T_a (c_Relation_Orel__comp(T_a,T_c,T_b,c_Relation_Orel__comp(T_a,T_d,T_c,V_R_2,V_S_2),V_T_2)=c_Relation_Orel__comp(T_a,T_d,T_b,V_R_2,c_Relation_Orel__comp(T_d,T_c,T_b,V_S_2,V_T_2))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  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))).
% 7.35/7.36  all V_s_2 V_r_2 T_c T_a T_b (hAPP(c_Relation_Oconverse(T_b,T_a),c_Relation_Orel__comp(T_b,T_c,T_a,V_r_2,V_s_2))=c_Relation_Orel__comp(T_a,T_c,T_b,hAPP(c_Relation_Oconverse(T_c,T_a),V_s_2),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))).
% 7.35/7.36  all T_a c_Finite__Set_Ofinite(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.36  all T_a c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.35/7.36  all V_Fa_2 V_g_2 V_z_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)->hAPP(V_Fa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))=V_z_2).
% 7.35/7.36  all V_aa_2 V_ba_2 T_a (c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))->V_ba_2=V_aa_2).
% 7.35/7.36  all V_aa_2 V_ba_2 T_a (c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_ba_2=V_aa_2).
% 7.35/7.36  all V_r_2 T_a (c_Transitive__Closure_Otrancl(T_a,V_r_2)=c_Relation_Orel__comp(T_a,T_a,T_a,V_r_2,c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 7.35/7.36  all V_r_2 T_a (c_Transitive__Closure_Otrancl(T_a,V_r_2)=c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2),V_r_2)).
% 7.35/7.36  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)).
% 7.35/7.36  all V_X_2 (c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_X_2)->c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_FunDef_Omax__weak)).
% 7.35/7.36  all V_Y_2 (c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_Y_2)-> (V_Y_2!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))->c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_Y_2),c_FunDef_Omax__strict))).
% 7.35/7.36  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_Relation_Orel__comp(T_a,T_a,T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2),V_r_2))).
% 7.35/7.36  all V_x_2 T_a (c_Set_Othe__elem(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=V_x_2).
% 7.35/7.36  c_FunDef_Omax__weak=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__le_q),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))).
% 7.35/7.36  c_FunDef_Omin__weak=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__le_q),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))).
% 7.35/7.36  all V_B_2 V_A_2 V_ca_2 T_a (c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))-> (-c_member(T_a,V_ca_2,V_A_2)->c_member(T_a,V_ca_2,V_B_2))).
% 7.35/7.36  all V_A_2 V_B_2 V_ca_2 T_a ((-c_member(T_a,V_ca_2,V_B_2)->c_member(T_a,V_ca_2,V_A_2))->c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.35/7.36  all V_A_2 V_aa_2 T_a (c_Set_Oinsert(T_a,V_aa_2,V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)).
% 7.35/7.36  all V_B_2 T_a (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).
% 7.35/7.36  all V_A_2 T_a (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).
% 7.35/7.36  all V_B_2 V_A_2 T_a (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))).
% 7.35/7.36  all V_G_2 V_Fa_2 T_a (c_Finite__Set_Ofinite(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_Fa_2,V_G_2))<->c_Finite__Set_Ofinite(T_a,V_Fa_2)&c_Finite__Set_Ofinite(T_a,V_G_2)).
% 7.35/7.36  all V_G_2 V_Fa_2 T_a (c_Finite__Set_Ofinite(T_a,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_G_2)->c_Finite__Set_Ofinite(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_Fa_2,V_G_2)))).
% 7.35/7.36  all V_S_2 V_R_2 T_a (c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))<->c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_R_2),c_Relation_Orel__comp(T_a,T_a,T_a,V_S_2,V_R_2)),V_S_2))).
% 7.35/7.36  all V_r_2 T_a (c_Transitive__Closure_Otrancl(T_a,V_r_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2),V_r_2))).
% 7.35/7.36  all V_B_2 V_C_2 V_A_2 T_a (c_Relation_Orel__comp(T_a,T_a,T_a,V_A_2,V_C_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))-> (c_Relation_Orel__comp(T_a,T_a,T_a,V_B_2,V_C_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))->c_Relation_Orel__comp(T_a,T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))).
% 7.35/7.36  all V_C_2 V_B_2 V_A_2 T_a (c_Relation_Orel__comp(T_a,T_a,T_a,V_A_2,V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))-> (c_Relation_Orel__comp(T_a,T_a,T_a,V_A_2,V_C_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))->c_Relation_Orel__comp(T_a,T_a,T_a,V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_B_2,V_C_2))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))).
% 7.35/7.36  all V_R_2 T_a (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)).
% 7.35/7.36  all V_R_2 T_a (c_Transitive__Closure_Ortrancl(T_a,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)).
% 7.35/7.36  all V_r_2 T_a (c_Relation_Oantisym(T_a,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_Relation_Oantisym(T_a,V_r_2)).
% 7.35/7.36  all V_B_2 V_A_2 V_Fa_2 V_g_2 V_z_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_b,V_A_2)-> (c_Finite__Set_Ofinite(T_b,V_B_2)->hAPP(V_Fa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2))=hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2))))).
% 7.35/7.36  all V_S_2 V_R_2 T_a (c_Transitive__Closure_Ortrancl(T_a,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,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.35/7.36  all V_B_2 V_aa_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.35/7.36  all V_C_2 V_B_2 V_aa_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.35/7.36  all V_B_2 V_A_2 T_b T_a (c_Relation_ODomain(T_a,T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))=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))).
% 7.35/7.36  all V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2).
% 7.35/7.36  all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 7.35/7.36  all V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.36  all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2))).
% 7.35/7.36  all V_C_2 V_B_2 V_A_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 7.35/7.36  all V_Pa_2 V_B_2 V_A_2 T_a ((exists B_x (c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))&hBOOL(hAPP(V_Pa_2,B_x))))<-> (exists B_x (c_member(T_a,B_x,V_A_2)&hBOOL(hAPP(V_Pa_2,B_x))))| (exists B_x (c_member(T_a,B_x,V_B_2)&hBOOL(hAPP(V_Pa_2,B_x))))).
% 7.35/7.36  all V_Pa_2 V_B_2 V_A_2 T_a ((all B_x (c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))->hBOOL(hAPP(V_Pa_2,B_x))))<-> (all B_x (c_member(T_a,B_x,V_A_2)->hBOOL(hAPP(V_Pa_2,B_x))))& (all B_x (c_member(T_a,B_x,V_B_2)->hBOOL(hAPP(V_Pa_2,B_x))))).
% 7.35/7.36  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,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)))).
% 7.35/7.36  all V_B_2 V_A_2 T_a T_b (c_Relation_ORange(T_b,T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))=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))).
% 7.35/7.36  all V_s_2 V_r_2 T_a T_b (hAPP(c_Relation_Oconverse(T_b,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_r_2,V_s_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2))).
% 7.35/7.36  all V_S_2 V_R_2 V_x_2 T_a (c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,V_S_2))->c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)))).
% 7.35/7.36  all V_R_2 V_T_2 V_S_2 T_b T_c T_a (c_Relation_Orel__comp(T_a,T_c,T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),V_S_2,V_T_2),V_R_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_c,T_b,V_S_2,V_R_2),c_Relation_Orel__comp(T_a,T_c,T_b,V_T_2,V_R_2))).
% 7.35/7.36  all V_T_2 V_S_2 V_R_2 T_b T_c T_a (c_Relation_Orel__comp(T_a,T_c,T_b,V_R_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2,V_T_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_c,T_b,V_R_2,V_S_2),c_Relation_Orel__comp(T_a,T_c,T_b,V_R_2,V_T_2))).
% 7.35/7.36  all V_A_2 V_B_2 V_ca_2 T_a (c_member(T_a,V_ca_2,V_B_2)->c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.35/7.36  all V_B_2 V_A_2 V_ca_2 T_a (c_member(T_a,V_ca_2,V_A_2)->c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 7.35/7.36  all V_B_2 V_A_2 V_ca_2 T_a (c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))<->c_member(T_a,V_ca_2,V_A_2)|c_member(T_a,V_ca_2,V_B_2)).
% 7.35/7.36  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),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,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.35/7.36  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),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)))).
% 7.35/7.36  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),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2))).
% 7.35/7.36  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)->c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_A_2).
% 7.35/7.36  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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2).
% 7.35/7.36  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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2).
% 7.35/7.36  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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.36  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,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.36  all V_S_2 V_R_2 T_a (c_Wellfounded_Owf(T_a,V_R_2)-> (c_Wellfounded_Owf(T_a,V_S_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_S_2),V_R_2)->c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))))).
% 7.35/7.36  all V_r_2 T_a (c_Transitive__Closure_Otrancl(T_a,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)).
% 7.35/7.36  all V_r_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.36  all V_r_2 T_a (c_Transitive__Closure_Ortrancl(T_a,V_r_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_OId(T_a),c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2),V_r_2))).
% 7.35/7.36  all V_B_2 V_A_2 V_Fa_2 V_f_2 T_b T_a (c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)-> (c_Finite__Set_Ofinite(T_a,V_B_2)->hAPP(V_Fa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_Fa_2,V_B_2))))).
% 7.35/7.36  all V_D_2 V_C_2 V_R_2 V_B_2 V_A_2 T_a (c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Wellfounded_Omax__ext(T_a,V_R_2))-> (c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2),c_Wellfounded_Omax__ext(T_a,V_R_2))->c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))).
% 7.35/7.37  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),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_S_2),V_R_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool),c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_R_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_S_2),c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool))))),c_Wellfounded_Omax__ext(T_a,V_R_2))).
% 7.35/7.37  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),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_S_2),V_R_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool),c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_R_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_S_2),c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool))))),c_Wellfounded_Omin__ext(T_a,V_R_2))).
% 7.35/7.37  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(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))).
% 7.35/7.37  all V_x_2 V_B_2 V_A_2 T_a (hBOOL(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)))).
% 7.35/7.37  c_FunDef_Opair__le_q=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))).
% 7.35/7.37  all V_y_2 V_x_2 T_a (c_member(T_a,V_x_2,c_fe_qual(V_y_2))<->V_x_2=V_y_2).
% 7.35/7.37  all V_Q_2 T_a V_x_2 V_Pa_2 (hBOOL(hAPP(V_Pa_2,V_x_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)->hBOOL(hAPP(V_Q_2,V_x_2)))).
% 7.35/7.37  all V_x_2 V_Q_2 V_Pa_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)-> (hBOOL(hAPP(V_Pa_2,V_x_2))->hBOOL(hAPP(V_Q_2,V_x_2)))).
% 7.35/7.37  all V_B_2 T_a V_x_2 V_A_2 (hBOOL(hAPP(V_A_2,V_x_2))->hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))).
% 7.35/7.37  all V_A_2 T_a V_x_2 V_B_2 (hBOOL(hAPP(V_B_2,V_x_2))->hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2))).
% 7.35/7.37  all V_y_2 V_x_2 V_Q_2 V_Pa_2 T_b T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Pa_2,V_Q_2)-> (hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))->hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)))).
% 7.35/7.37  all V_Q_2 T_b T_a V_y_2 V_x_2 V_Pa_2 (hBOOL(hAPP(hAPP(V_Pa_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_Pa_2,V_Q_2)->hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)))).
% 7.35/7.37  all V_x_2 V_A_2 V_Fa_2 V_f_2 T_a (c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)-> (c_Finite__Set_Ofinite(T_a,V_A_2)-> (-c_member(T_a,V_x_2,V_A_2)-> (V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))->hAPP(V_Fa_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=hAPP(hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,V_A_2)))))).
% 7.35/7.37  all V_x_2 V_g_2 V_f_2 T_b T_a (class_Lattices_Olattice(T_a)->hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a),V_f_2,V_g_2),V_x_2)=c_Lattices_Osemilattice__sup__class_Osup(T_a,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2))).
% 7.35/7.37  all V_a T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_a)=V_a).
% 7.35/7.37  all V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_x)=V_x).
% 7.35/7.37  all V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_a)).
% 7.35/7.37  all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x)).
% 7.35/7.37  all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x)).
% 7.35/7.37  all V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)).
% 7.35/7.37  all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)).
% 7.35/7.37  all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)).
% 7.35/7.37  all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1))).
% 7.35/7.37  all T_2 T_1 (class_Orderings_Opreorder(T_1)->class_Orderings_Opreorder(tc_fun(T_2,T_1))).
% 7.35/7.37  all T_1 T_2 (class_Finite__Set_Ofinite(T_2)&class_Finite__Set_Ofinite(T_1)->class_Finite__Set_Ofinite(tc_fun(T_2,T_1))).
% 7.35/7.37  all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Olattice(tc_fun(T_2,T_1))).
% 7.35/7.37  all T_2 T_1 (class_Orderings_Oorder(T_1)->class_Orderings_Oorder(tc_fun(T_2,T_1))).
% 7.35/7.37  all T_2 T_1 (class_Orderings_Oord(T_1)->class_Orderings_Oord(tc_fun(T_2,T_1))).
% 7.35/7.37  all T_2 T_1 (class_Orderings_Obot(T_1)->class_Orderings_Obot(tc_fun(T_2,T_1))).
% 7.35/7.37  class_Lattices_Osemilattice__sup(tc_Nat_Onat).
% 7.35/7.37  class_Orderings_Opreorder(tc_Nat_Onat).
% 7.35/7.37  class_Orderings_Olinorder(tc_Nat_Onat).
% 7.35/7.37  class_Lattices_Olattice(tc_Nat_Onat).
% 7.35/7.37  class_Orderings_Oorder(tc_Nat_Onat).
% 7.35/7.37  class_Orderings_Oord(tc_Nat_Onat).
% 7.35/7.37  class_Orderings_Obot(tc_Nat_Onat).
% 7.35/7.37  class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 7.35/7.37  class_Orderings_Opreorder(tc_HOL_Obool).
% 7.35/7.37  class_Finite__Set_Ofinite(tc_HOL_Obool).
% 7.35/7.37  class_Lattices_Olattice(tc_HOL_Obool).
% 7.35/7.37  class_Orderings_Oorder(tc_HOL_Obool).
% 7.35/7.37  class_Orderings_Oord(tc_HOL_Obool).
% 7.35/7.37  class_Orderings_Obot(tc_HOL_Obool).
% 7.35/7.37  all T_1 T_2 (class_Finite__Set_Ofinite(T_2)&class_Finite__Set_Ofinite(T_1)->class_Finite__Set_Ofinite(tc_prod(T_2,T_1))).
% 7.35/7.37  all V_y_2 V_x_2 (-hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2).
% 7.35/7.37  all V_y_2 V_x_2 (V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))).
% 7.35/7.37  -(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))<->c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____))).
% 7.35/7.37  end_of_list.
% 7.35/7.37  
% 7.35/7.37  -------> usable clausifies to:
% 7.35/7.37  
% 7.35/7.37  list(usable).
% 7.35/7.37  0 [] A=A.
% 7.35/7.37  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.
% 7.35/7.37  0 [] c_Arrow__Order__Mirabelle_OIIA(v_F).
% 7.35/7.37  0 [] c_Arrow__Order__Mirabelle_Ounanimity(v_F).
% 7.35/7.37  0 [] v_a____!=v_b____.
% 7.35/7.37  0 [] v_b____!=v_c____.
% 7.35/7.37  0 [] v_a____!=v_c____.
% 7.35/7.37  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,B_i)).
% 7.35/7.37  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),B_i))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,B_i)).
% 7.35/7.37  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,B_i)).
% 7.35/7.37  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,B_i))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,B_i)).
% 7.35/7.37  0 [] 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_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.37  0 [] c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P_H____,c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.37  0 [] c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),v_P____,c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.37  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2).
% 7.35/7.37  0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2).
% 7.35/7.37  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)).
% 7.35/7.37  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_ba_2,V_aa_2),V_r_2).
% 7.35/7.37  0 [] V_A_2!=V_B_2|c_member(T_a,V_ca_2,V_A_2)| -c_member(T_a,V_ca_2,V_B_2).
% 7.35/7.37  0 [] V_A_2!=V_B_2|c_member(T_a,V_ca_2,V_B_2)| -c_member(T_a,V_ca_2,V_A_2).
% 7.35/7.37  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.37  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.37  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.37  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.37  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.37  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.37  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.37  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.37  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.37  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.37  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.37  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.37  0 [] -hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2).
% 7.35/7.37  0 [] hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_R_2).
% 7.35/7.37  0 [] -hBOOL(hAPP(V_Pa_2,V_x_2))| -c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_y_H_2,V_y_2),hAPP(V_R_2,V_x_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_H_2),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2)),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)).
% 7.35/7.37  0 [] -c_Nitpick_Orefl_H(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2).
% 7.35/7.37  0 [] c_Nitpick_Orefl_H(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f2(V_r_2,T_a),$f2(V_r_2,T_a)),V_r_2).
% 7.35/7.37  0 [] V_aa_2!=V_ba_2| -c_member(T_a,V_ba_2,V_A_2)|c_member(T_a,V_aa_2,V_A_2).
% 7.35/7.37  0 [] V_x_2!=V_y_2| -c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_y_2,V_A_2).
% 7.35/7.37  0 [] V_x_2!=V_y_2|c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_y_2,V_A_2).
% 7.35/7.37  0 [] V_A_2!=V_B_2| -c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_x_2,V_B_2).
% 7.35/7.37  0 [] V_A_2!=V_B_2|c_member(T_a,V_x_2,V_A_2)| -c_member(T_a,V_x_2,V_B_2).
% 7.35/7.37  0 [] -c_member(T_a,V_x_2,V_A_2)|hBOOL(hAPP(V_A_2,V_x_2)).
% 7.35/7.37  0 [] c_member(T_a,V_x_2,V_A_2)| -hBOOL(hAPP(V_A_2,V_x_2)).
% 7.35/7.37  0 [] hAPP(V_f_2,hAPP(V_g_2,V_x_2))!=hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))|hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2,V_g_2),V_x_2)=hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2,V_g_H_2),V_x_H_2).
% 7.35/7.37  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))=V_r_2.
% 7.35/7.37  0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f3(V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(V_P_Ha_2,$f3(V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.37  0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f3(V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(V_P_Ha_2,$f3(V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.37  0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f3(V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(V_P_Ha_2,$f3(V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.37  0 [] V_aa_2=V_ba_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f3(V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(V_P_Ha_2,$f3(V_P_Ha_2,V_Pa_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.37  0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f4(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(V_P_Ha_2,$f4(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.38  0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f4(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(V_P_Ha_2,$f4(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.38  0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f5(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(V_P_Ha_2,$f5(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.38  0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f5(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(V_P_Ha_2,$f5(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.38  0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f5(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(V_P_Ha_2,$f5(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.38  0 [] V_aa_2=V_ba_2|V_a_H_2=V_b_H_2|V_aa_2=V_b_H_2|V_ba_2=V_a_H_2| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_Pa_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),V_P_Ha_2,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(V_Pa_2,$f5(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(V_P_Ha_2,$f5(V_P_Ha_2,V_Pa_2,V_b_H_2,V_a_H_2,V_ba_2,V_aa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),hAPP(v_F,V_Pa_2))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_a_H_2,V_b_H_2),hAPP(v_F,V_P_Ha_2)).
% 7.35/7.38  0 [] -c_Relation_Oirrefl(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),V_r_2).
% 7.35/7.38  0 [] c_Relation_Oirrefl(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f6(V_r_2,T_a),$f6(V_r_2,T_a)),V_r_2).
% 7.35/7.38  0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -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)| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)).
% 7.35/7.38  0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -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)| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)).
% 7.35/7.38  0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -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)| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)).
% 7.35/7.38  0 [] -c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -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)| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_xa,$f7(V_Fa_2,B_x,B_xa,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_xa)).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|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)),$f11(V_Fa_2),c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$f10(V_Fa_2),c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP($f11(V_Fa_2),B_i))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP($f10(V_Fa_2),B_i)).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP($f11(V_Fa_2),B_i))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP($f10(V_Fa_2),B_i)).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP(V_Fa_2,$f11(V_Fa_2)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP(V_Fa_2,$f10(V_Fa_2))).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_OIIA(V_Fa_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP(V_Fa_2,$f11(V_Fa_2)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(V_Fa_2),$f8(V_Fa_2)),hAPP(V_Fa_2,$f10(V_Fa_2))).
% 7.35/7.38  0 [] -c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(B_x,$f12(V_Fa_2,B_x,B_a,B_b)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B_a,B_b),hAPP(V_Fa_2,B_x)).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),$f15(V_Fa_2),c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f14(V_Fa_2),$f13(V_Fa_2)),hAPP($f15(V_Fa_2),B_i)).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_Ounanimity(V_Fa_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f14(V_Fa_2),$f13(V_Fa_2)),hAPP(V_Fa_2,$f15(V_Fa_2))).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),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))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_a_H_2),V_r_2)|V_aa_2=V_a_H_2.
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),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))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_a_H_2),V_r_2)|c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_ba_2,V_b_H_2),V_s_2).
% 7.35/7.38  0 [] c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),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))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_a_H_2),V_r_2).
% 7.35/7.38  0 [] c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2))|V_aa_2!=V_a_H_2| -c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_ba_2,V_b_H_2),V_s_2).
% 7.35/7.38  0 [] -c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B_x,c_Arrow__Order__Mirabelle_OProf)|hAPP(V_Fa_2,B_x)=hAPP(B_x,V_i_2).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)|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)),$f16(V_i_2,V_Fa_2),c_Arrow__Order__Mirabelle_OProf).
% 7.35/7.38  0 [] c_Arrow__Order__Mirabelle_Odictator(V_Fa_2,V_i_2)|hAPP(V_Fa_2,$f16(V_i_2,V_Fa_2))!=hAPP($f16(V_i_2,V_Fa_2),V_i_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_b),V_yx_2,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))|V_yx_2=c_Product__Type_OPair(T_a,T_b,$f17(V_r_2,V_yx_2,T_b,T_a),$f18(V_r_2,V_yx_2,T_b,T_a)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_b),V_yx_2,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f18(V_r_2,V_yx_2,T_b,T_a),$f17(V_r_2,V_yx_2,T_b,T_a)),V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)|c_member(T_b,V_ba_2,c_Relation_ORange(T_a,T_b,V_r_2)).
% 7.35/7.38  0 [] V_aa_2!=V_ba_2| -c_member(T_a,V_aa_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId__on(T_a,V_A_2)).
% 7.35/7.38  0 [] c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 7.35/7.38  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(T_a,V_A_2))=c_Relation_OId__on(T_a,V_A_2).
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f19(V_r_2,T_b,V_aa_2,T_a),V_aa_2),V_r_2).
% 7.35/7.38  0 [] c_member(T_a,V_aa_2,c_Relation_ORange(T_b,T_a,V_r_2))| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_aa_2),V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),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.
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Relation_OId__on(T_a,V_A_2))|c_member(T_a,V_x_2,V_A_2).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),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| -c_member(T_a,V_x_2,V_A_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),V_ca_2,c_Relation_OId__on(T_a,V_A_2))|c_member(T_a,$f20(V_A_2,V_ca_2,T_a),V_A_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),V_ca_2,c_Relation_OId__on(T_a,V_A_2))|V_ca_2=c_Product__Type_OPair(T_a,T_a,$f20(V_A_2,V_ca_2,T_a),$f20(V_A_2,V_ca_2,T_a)).
% 7.35/7.38  0 [] -c_member(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f21(V_r_2,T_b,V_ba_2,T_a),V_ba_2),V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)|c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,V_aa_2),V_r_2)|c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f22(V_r_2,V_aa_2,T_a),V_aa_2),V_r_2).
% 7.35/7.38  0 [] c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(T_a,$f22(V_r_2,V_aa_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)|c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_Relation_Ototal__on(T_a,V_A_2,V_r_2)| -c_member(T_a,B_x,V_A_2)| -c_member(T_a,B_xa,V_A_2)|B_x=B_xa|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_xa),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2).
% 7.35/7.38  0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|c_member(T_a,$f24(V_r_2,V_A_2,T_a),V_A_2).
% 7.35/7.38  0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|c_member(T_a,$f23(V_r_2,V_A_2,T_a),V_A_2).
% 7.35/7.38  0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|$f24(V_r_2,V_A_2,T_a)!=$f23(V_r_2,V_A_2,T_a).
% 7.35/7.38  0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f24(V_r_2,V_A_2,T_a),$f23(V_r_2,V_A_2,T_a)),V_r_2).
% 7.35/7.38  0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f23(V_r_2,V_A_2,T_a),$f24(V_r_2,V_A_2,T_a)),V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Relation_Oinv__image(T_b,T_a,V_r_2),V_f_2))|c_member(tc_prod(T_b,T_b),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).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Relation_Oinv__image(T_b,T_a,V_r_2),V_f_2))| -c_member(tc_prod(T_b,T_b),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).
% 7.35/7.38  0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_member(T_a,V_x_2,V_A_2).
% 7.35/7.38  0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|c_member(T_a,V_y_2,V_A_2).
% 7.35/7.38  0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(T_a,V_aa_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2).
% 7.35/7.38  0 [] -c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))|c_Relation_Orefl__on(T_a,V_A_2,V_r_2).
% 7.35/7.38  0 [] c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))| -c_Relation_Orefl__on(T_a,V_A_2,V_r_2).
% 7.35/7.38  0 [] c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 7.35/7.38  0 [] c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 7.35/7.38  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),hAPP(c_Relation_Oinv__image(T_b,T_a,V_R_2),V_f_2))=hAPP(c_Relation_Oinv__image(T_b,T_a,hAPP(c_Relation_Oconverse(T_b,T_b),V_R_2)),V_f_2).
% 7.35/7.38  0 [] -c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))|c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 7.35/7.38  0 [] c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))| -c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 7.35/7.38  0 [] c_Relation_ORange(T_b,T_a,hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))=c_Relation_ODomain(T_a,T_b,V_r_2).
% 7.35/7.38  0 [] c_Relation_ODomain(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))=c_Relation_ORange(T_b,T_a,V_r_2).
% 7.35/7.38  0 [] c_Relation_ORange(T_b,T_a,V_r_2)=c_Relation_ODomain(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)).
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,$f25(V_r_2,T_b,V_aa_2,T_a)),V_r_2).
% 7.35/7.38  0 [] c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,B_y),V_r_2).
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,$f26(V_r_2,T_b,V_aa_2,T_a)),V_r_2).
% 7.35/7.38  0 [] c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f27(V_R_2,V_x_2,T_a),V_x_2),V_R_2).
% 7.35/7.38  0 [] c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_R_2))| -c_member(T_a,$f27(V_R_2,V_x_2,T_a),c_Wellfounded_Oacc(T_a,V_R_2)).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f28(V_r_2,V_x_2,T_a),V_x_2),V_r_2)|c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(T_a,$f28(V_r_2,V_x_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2))|c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(T_a,V_aa_2,c_Wellfounded_Oacc(T_a,V_r_2))|c_member(T_a,V_ba_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  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,$f29(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a)),V_a1_2).
% 7.35/7.38  0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_a1_2),V_R_2)|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP($f29(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a),B_z)).
% 7.35/7.38  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_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f30(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),V_a1_2),V_R_2).
% 7.35/7.38  0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_Fa_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f30(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f30(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g))).
% 7.35/7.38  0 [] -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_aa_2),V_L_2).
% 7.35/7.38  0 [] -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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_y_2,V_x_2),V_L_2).
% 7.35/7.38  0 [] -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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_y_2,V_x_2),V_L_2).
% 7.35/7.38  0 [] c_Fun_Ocomp(T_c,T_b,T_a,V_aa_2,V_ba_2)!=c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2,V_d_2)|hAPP(V_aa_2,hAPP(V_ba_2,B_v))=hAPP(V_ca_2,hAPP(V_d_2,B_v)).
% 7.35/7.38  0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L_2),c_Arrow__Order__Mirabelle_OLin)|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).
% 7.35/7.38  0 [] c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L_2),c_Arrow__Order__Mirabelle_OLin)| -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).
% 7.35/7.38  0 [] -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)|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).
% 7.35/7.38  0 [] -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)|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).
% 7.35/7.38  0 [] c_Fun_Ocomp(T_c,T_b,T_a,V_f_2,c_Fun_Ocomp(T_d,T_c,T_a,V_g_2,V_h_2))=c_Fun_Ocomp(T_d,T_b,T_a,c_Fun_Ocomp(T_c,T_b,T_d,V_f_2,V_g_2),V_h_2).
% 7.35/7.38  0 [] hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2,V_g_2),V_x_2)=hAPP(V_f_2,hAPP(V_g_2,V_x_2)).
% 7.35/7.38  0 [] c_Fun_Ocomp(T_c,T_b,T_a,V_aa_2,V_ba_2)!=c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2,V_d_2)|hAPP(V_aa_2,hAPP(V_ba_2,V_v_2))=hAPP(V_ca_2,hAPP(V_d_2,V_v_2)).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),V_p_2,V_r_2)|c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] c_member(T_a,V_x_2,c_Relation_ODomain(T_a,T_a,V_R_2))| -c_member(tc_prod(T_a,T_a),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.
% 7.35/7.38  0 [] c_member(T_a,V_x_2,c_Relation_ODomain(T_a,T_a,V_R_2))|c_member(tc_prod(T_a,T_a),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.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2!=V_y_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2!=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_ba_2|V_y_2!=V_ba_2|V_x_2=V_aa_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_ba_2|V_y_2=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2|V_y_2=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2|V_x_2!=V_aa_2|V_y_2!=V_ba_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2|V_x_2!=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2)|V_y_2!=V_ba_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_x_2=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)|V_x_2!=V_ba_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)|V_y_2=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)|V_x_2!=V_aa_2|V_y_2!=V_ba_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)|V_x_2!=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2)|V_y_2!=V_ba_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Oabove(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_aa_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2!=V_y_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_y_2!=V_aa_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_y_2=V_aa_2|V_x_2!=V_aa_2|V_y_2=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_y_2=V_aa_2|V_x_2=V_aa_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2|V_x_2=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2|V_y_2!=V_ba_2|V_x_2!=V_aa_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2|V_y_2!=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2)|V_x_2!=V_aa_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2|V_y_2=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)|V_y_2!=V_aa_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)|V_x_2=V_aa_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)|V_y_2!=V_ba_2|V_x_2!=V_aa_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)|V_y_2!=V_ba_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2)|V_x_2!=V_aa_2.
% 7.35/7.38  0 [] V_aa_2=V_ba_2| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),c_Arrow__Order__Mirabelle_Obelow(V_L_2,V_aa_2,V_ba_2))|V_x_2=V_y_2| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_ba_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_ba_2,V_y_2),V_L_2)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_x_2,V_y_2),V_L_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  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).
% 7.35/7.38  0 [] c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))=hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] V_x_2=V_y_2| -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)|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).
% 7.35/7.38  0 [] V_x_2=V_y_2| -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)|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).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_Relation_Osingle__valued(T_a,T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_z_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] V_aa_2=V_ba_2|c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),$f31(V_ba_2,V_aa_2),c_Arrow__Order__Mirabelle_OLin).
% 7.35/7.38  0 [] V_aa_2=V_ba_2|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_aa_2,V_ba_2),$f31(V_ba_2,V_aa_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,$f35(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f34(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f35(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f34(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,$f33(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f32(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),V_r_2)|hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))|hBOOL(hAPP(hAPP(V_Pa_2,$f35(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f34(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))| -hBOOL(hAPP(hAPP(V_Pa_2,$f33(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f32(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f39(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f38(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,$f37(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f36(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),V_r_2)|hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f37(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f36(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))|hBOOL(hAPP(hAPP(V_Pa_2,$f37(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f36(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_ax_2,V_ay_2),c_Product__Type_OPair(T_a,T_b,V_bx_2,V_by_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))| -hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))| -hBOOL(hAPP(hAPP(V_Pa_2,$f39(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f38(V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2)=c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,$f41(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a),$f40(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a))),V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2),c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|c_Product__Type_OPair(T_a,T_b,V_xa_2,V_xb_2)=c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)|c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f41(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a),$f40(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a)),c_Product__Type_OPair(T_a,T_b,V_za_2,V_zb_2)),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2)).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f42(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)).
% 7.35/7.38  0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f42(V_g_2,V_Fa_2,T_b,V_R_2,V_x_2,T_a),hAPP(V_g_2,$f42(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)).
% 7.35/7.38  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,$f43(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a)),V_a1_2).
% 7.35/7.38  0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_z,V_a1_2),V_R_2)|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,B_z,hAPP($f43(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a),B_z)).
% 7.35/7.38  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_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f44(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),V_a1_2),V_R_2).
% 7.35/7.38  0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,V_a1_2,V_a2_2)|V_a2_2!=hAPP(hAPP(V_Fa_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_Fa_2,$f44(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f44(V_a2_2,V_a1_2,V_Fa_2,V_R_2,T_b,T_a,B_g))).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_aa_2=V_ba_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,$f45(V_r_2,V_ba_2,V_aa_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_aa_2=V_ba_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f45(V_r_2,V_ba_2,V_aa_2,T_a),V_ba_2),V_r_2).
% 7.35/7.38  0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.35/7.38  0 [] -c_Relation_Osingle__valued(T_a,T_b,V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_y),V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,B_x,B_z),V_r_2)|B_y=B_z.
% 7.35/7.38  0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f48(V_r_2,T_b,T_a),$f47(V_r_2,T_b,T_a)),V_r_2).
% 7.35/7.38  0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f48(V_r_2,T_b,T_a),$f46(V_r_2,T_b,T_a)),V_r_2).
% 7.35/7.38  0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|$f47(V_r_2,T_b,T_a)!=$f46(V_r_2,T_b,T_a).
% 7.35/7.38  0 [] -c_Relation_Osingle__valued(T_a,T_b,V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_y_2),V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_x_2,V_z_2),V_r_2)|V_y_2=V_z_2.
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f51(V_r_2,T_b,T_a),$f50(V_r_2,T_b,T_a)),V_r_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f51(V_r_2,T_b,T_a),$f49(V_r_2,T_b,T_a)),V_r_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.35/7.38  0 [] $f50(V_r_2,T_b,T_a)!=$f49(V_r_2,T_b,T_a)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_aa_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,$f53(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|hBOOL(hAPP(V_Pa_2,V_ba_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_aa_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f53(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a),$f52(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)),V_r_2)|hBOOL(hAPP(V_Pa_2,V_ba_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_aa_2))|hBOOL(hAPP(V_Pa_2,$f53(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)))|hBOOL(hAPP(V_Pa_2,V_ba_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_aa_2))| -hBOOL(hAPP(V_Pa_2,$f52(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)))|hBOOL(hAPP(V_Pa_2,V_ba_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_ba_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f55(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a),$f54(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)),V_r_2)|hBOOL(hAPP(V_Pa_2,V_aa_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_ba_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f54(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a),V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|hBOOL(hAPP(V_Pa_2,V_aa_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_ba_2))|hBOOL(hAPP(V_Pa_2,$f54(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)))|hBOOL(hAPP(V_Pa_2,V_aa_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_Pa_2,V_ba_2))| -hBOOL(hAPP(V_Pa_2,$f55(V_Pa_2,V_r_2,V_ba_2,V_aa_2,T_a)))|hBOOL(hAPP(V_Pa_2,V_aa_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),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|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,$f56(V_r_2,V_z_2,V_x_2,T_a)),V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_x_2=V_z_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f56(V_r_2,V_z_2,V_x_2,T_a),V_z_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] c_Fun_Ocomp(T_c,T_b,T_a,V_aa_2,V_ba_2)!=V_ca_2|hAPP(V_aa_2,hAPP(V_ba_2,V_v_2))=hAPP(V_ca_2,V_v_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),B_R)|hAPP(c_Recdef_Ocut(T_a,T_b,B_f,B_R,V_aa_2),V_x_2)=hAPP(B_f,V_x_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),V_p_2,V_r_2)|c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.38  0 [] c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))=hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_R_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),V_R_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_aa_2=V_ba_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_ca_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ca_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),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|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),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.
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),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| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2)|hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_aa_2),V_x_2)=hAPP(V_f_2,V_x_2).
% 7.35/7.38  0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)!=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)| -c_member(tc_prod(T_a,T_a),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).
% 7.35/7.38  0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f57(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a),V_x_2),V_r_2).
% 7.35/7.38  0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_x_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_x_2)|hAPP(V_f_2,$f57(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a))!=hAPP(V_g_2,$f57(V_g_2,V_x_2,V_r_2,V_f_2,T_b,T_a)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,$f58(V_R_2,V_y_2,V_x_2,T_a)),V_R_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f58(V_R_2,V_y_2,V_x_2,T_a),V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,$f59(V_R_2,V_y_2,V_x_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f59(V_R_2,V_y_2,V_x_2,T_a),V_y_2),V_R_2).
% 7.35/7.38  0 [] -c_Wellfounded_Oacyclic(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_x),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] c_Wellfounded_Oacyclic(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f60(V_r_2,T_a),$f60(V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,$f61(V_r_2,V_ba_2,V_aa_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f61(V_r_2,V_ba_2,V_aa_2,T_a),V_ba_2),V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,$f62(V_r_2,V_z_2,V_x_2,T_a)),V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_z_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f62(V_r_2,V_z_2,V_x_2,T_a),V_z_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f63(V_y_2,V_x_2,V_r_2,T_a),$f63(V_y_2,V_x_2,V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_r_2)|V_x_2!=V_y_2.
% 7.35/7.38  0 [] c_Nitpick_Owf__wfrec_H(T_b,T_a,V_R_2,V_Fa_2,V_x_2)=hAPP(hAPP(V_Fa_2,c_Recdef_Ocut(T_b,T_a,c_Nitpick_Owf__wfrec(T_b,T_a,V_R_2,V_Fa_2),V_R_2,V_x_2)),V_x_2).
% 7.35/7.38  0 [] -c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.35/7.38  0 [] c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))| -c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f64(V_r_2,T_a),$f64(V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.35/7.38  0 [] -c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.35/7.38  0 [] -c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))| -c_Wellfounded_Oacyclic(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Oacyclic(T_a,V_r_2)|c_Relation_Oantisym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),c_Relation_OId(T_a)).
% 7.35/7.38  0 [] c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),$c1,c_Arrow__Order__Mirabelle_OLin).
% 7.35/7.38  0 [] -hBOOL(hAPP(V_Pa_2,$f65(T_b,T_a,V_Pa_2)))|hBOOL(hAPP(V_Pa_2,c_Product__Type_OPair(T_a,T_b,B_a,B_b))).
% 7.35/7.38  0 [] hBOOL(hAPP(V_Pa_2,B_x1))| -hBOOL(hAPP(V_Pa_2,c_Product__Type_OPair(T_a,T_b,$f67(T_b,T_a,V_Pa_2),$f66(T_b,T_a,V_Pa_2)))).
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,V_B_2)|c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2)).
% 7.35/7.38  0 [] V_aa_2!=V_ba_2|c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2)).
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))|V_aa_2=V_ba_2|c_member(T_a,V_aa_2,V_A_2).
% 7.35/7.38  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)).
% 7.35/7.38  0 [] hBOOL(hAPP(c_Set_Oinsert(T_a,V_y_2,V_A_2),V_x_2))|V_y_2!=V_x_2.
% 7.35/7.38  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)).
% 7.35/7.38  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)).
% 7.35/7.38  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).
% 7.35/7.38  0 [] c_Relation_Oantisym(T_a,c_Relation_OId(T_a)).
% 7.35/7.38  0 [] c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2))=c_Set_Oinsert(T_a,V_aa_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 7.35/7.38  0 [] c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_aa_2,V_ba_2),V_r_2))=c_Set_Oinsert(T_a,V_ba_2,c_Relation_ORange(T_b,T_a,V_r_2)).
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,V_A_2)|c_Set_Oinsert(T_a,V_aa_2,V_A_2)=V_A_2.
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,V_B_2)|c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_B_2)).
% 7.35/7.38  0 [] c_member(T_a,V_x_2,V_A_2)|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.
% 7.35/7.38  0 [] c_member(T_a,V_x_2,V_A_2)|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.
% 7.35/7.38  0 [] -c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))|V_aa_2=V_ba_2|c_member(T_a,V_aa_2,V_A_2).
% 7.35/7.38  0 [] c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))|V_aa_2!=V_ba_2.
% 7.35/7.38  0 [] c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,V_A_2))| -c_member(T_a,V_aa_2,V_A_2).
% 7.35/7.38  0 [] c_member(T_a,V_aa_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2)).
% 7.35/7.38  0 [] hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a))=c_Relation_OId(T_a).
% 7.35/7.38  0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 7.35/7.38  0 [] -c_Relation_Oantisym(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))|c_Relation_Oantisym(T_a,V_r_2).
% 7.35/7.38  0 [] c_Relation_Oantisym(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))| -c_Relation_Oantisym(T_a,V_r_2).
% 7.35/7.38  0 [] c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId(T_a))|V_aa_2=V_ba_2.
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),c_Relation_OId(T_a))|V_aa_2!=V_ba_2.
% 7.35/7.38  0 [] -c_Relation_Oantisym(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ba_2,V_aa_2),V_r_2)|V_aa_2=V_ba_2.
% 7.35/7.38  0 [] -c_Relation_Oantisym(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_r_2)|B_x=B_y.
% 7.35/7.38  0 [] c_Relation_Oantisym(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f69(V_r_2,T_a),$f68(V_r_2,T_a)),V_r_2).
% 7.35/7.38  0 [] c_Relation_Oantisym(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f68(V_r_2,T_a),$f69(V_r_2,T_a)),V_r_2).
% 7.35/7.38  0 [] c_Relation_Oantisym(T_a,V_r_2)|$f69(V_r_2,T_a)!=$f68(V_r_2,T_a).
% 7.35/7.38  0 [] c_Product__Type_OPair(T_a,T_b,V_a,V_b)!=c_Product__Type_OPair(T_a,T_b,V_a_H,V_b_H)|V_a=V_a_H.
% 7.35/7.38  0 [] c_Product__Type_OPair(T_a,T_b,V_a,V_b)!=c_Product__Type_OPair(T_a,T_b,V_a_H,V_b_H)|V_b=V_b_H.
% 7.35/7.38  0 [] c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)!=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_aa_2=V_a_H_2.
% 7.35/7.38  0 [] c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)!=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_ba_2=V_b_H_2.
% 7.35/7.38  0 [] c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_aa_2!=V_a_H_2|V_ba_2!=V_b_H_2.
% 7.35/7.38  0 [] c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))=hAPP(hAPP(V_f1_2,V_aa_2),V_ba_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),V_p_2,c_Relation_OId(T_a))|V_p_2=c_Product__Type_OPair(T_a,T_a,$f70(V_p_2,T_a),$f70(V_p_2,T_a)).
% 7.35/7.38  0 [] c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_ca_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2))=hAPP(hAPP(V_ca_2,V_aa_2),V_ba_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))|c_Wellfounded_Owf(T_a,V_r_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_y_2,V_x_2),V_r_2))| -c_Wellfounded_Owf(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f72(V_r_2,T_a),$f71(V_r_2,T_a)),V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f71(V_r_2,T_a),$f72(V_r_2,T_a)),V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 7.35/7.38  0 [] $f72(V_r_2,T_a)!=$f71(V_r_2,T_a)|c_Relation_Oantisym(T_a,V_r_2).
% 7.35/7.38  0 [] -hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2)))|hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oinv__image(T_a,T_b,V_r_2),V_f_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_ra_2)| -c_Wellfounded_Owf(T_b,V_rb_2)|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_x_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_x_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_aa_2),V_r_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_aa_2,V_aa_2),V_r_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,$f73(V_r_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,V_x_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))|c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 7.35/7.38  0 [] -hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))|hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2))).
% 7.35/7.38  0 [] -hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_aa_2,V_ba_2))|hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2))).
% 7.35/7.38  0 [] c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2,V_aa_2,V_ba_2)=hAPP(V_f_2,c_Product__Type_OPair(T_b,T_c,V_aa_2,V_ba_2)).
% 7.35/7.38  0 [] c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,B_R)|hAPP(c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_x)=hAPP(hAPP(B_M,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,B_R,B_M),B_R,B_x)),B_x).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|hAPP(c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_aa_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_r_2,V_aa_2)),V_aa_2).
% 7.35/7.38  0 [] V_f_2!=c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2)| -c_Wellfounded_Owf(T_a,V_r_2)|hAPP(V_f_2,V_aa_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_aa_2)),V_aa_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,B_x,B_Q)|c_member(T_a,$f74(V_r_2,T_a,B_Q),B_Q).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,B_x,B_Q)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,$f74(V_r_2,T_a,B_Q)),V_r_2)| -c_member(T_a,B_y,B_Q).
% 7.35/7.38  0 [] c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,$f75(V_r_2,T_a),$f77(V_r_2,T_a)).
% 7.35/7.38  0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,X1,$f77(V_r_2,T_a))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f76(V_r_2,T_a,X1),X1),V_r_2).
% 7.35/7.38  0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,X1,$f77(V_r_2,T_a))|c_member(T_a,$f76(V_r_2,T_a,X1),$f77(V_r_2,T_a)).
% 7.35/7.38  0 [] hBOOL(hAPP(V_Pa_2,$f78(T_a,V_R_2,T_b,V_Pa_2)))|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_b,hAPP(V_R_2,$f78(T_a,V_R_2,T_b,V_Pa_2)))|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_Pa_2,V_R_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_R_2)|c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)).
% 7.35/7.38  0 [] -c_member(T_a,$f79(V_r_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2))|c_Wellfounded_Owf(T_a,V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2)).
% 7.35/7.38  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2)).
% 7.35/7.38  0 [] c_Wellfounded_Omeasure(T_a)=c_Relation_Oinv__image(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than).
% 7.35/7.38  0 [] c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_x_2,V_y_2),c_Wellfounded_Oless__than)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2).
% 7.35/7.38  0 [] c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_x_2,V_y_2),c_Wellfounded_Oless__than)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2))|c_member(tc_prod(T_a,T_a),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)).
% 7.35/7.38  0 [] c_Wellfounded_Oless__than=c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)| -c_Wellfounded_Oacyclic(T_a,V_r_2)|c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_r_2)).
% 7.35/7.38  0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2=V_n_2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)|hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(tc_prod(T_a,T_b),V_r_2)|c_Finite__Set_Ofinite(T_a,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(tc_prod(T_a,T_b),V_r_2)|c_Finite__Set_Ofinite(T_b,c_Relation_ORange(T_a,T_b,V_r_2)).
% 7.35/7.38  0 [] c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(tc_prod(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2).
% 7.35/7.38  0 [] c_Finite__Set_Ofinite(tc_prod(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))| -c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(tc_prod(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))|c_Finite__Set_Ofinite(tc_prod(T_b,T_a),V_r_2).
% 7.35/7.38  0 [] c_Finite__Set_Ofinite(tc_prod(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))| -c_Finite__Set_Ofinite(tc_prod(T_b,T_a),V_r_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)| -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)|c_Wellfounded_Owf(T_a,V_r_2)| -c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)| -c_Wellfounded_Oacyclic(T_a,V_r_2)|c_Wellfounded_Owf(T_a,V_r_2).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_m_2,V_n_2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 7.35/7.38  0 [] c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_m_2,V_n_2),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_R_2)|c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n).
% 7.35/7.38  0 [] V_m_2=V_n_2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2).
% 7.35/7.38  0 [] V_m_2!=V_n_2| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 7.35/7.38  0 [] V_m_2!=V_n_2| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2).
% 7.35/7.38  0 [] V_x=V_y|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)|V_m!=V_n.
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)|V_s!=V_t.
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(T_a,V_A_2)|c_Finite__Set_Ofinite(T_a,c_Set_Oinsert(T_a,V_aa_2,V_A_2)).
% 7.35/7.38  0 [] -c_Nitpick_Owf_H(T_a,V_r_2)|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 7.35/7.38  0 [] -c_Nitpick_Owf_H(T_a,V_r_2)|c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2)|c_Nitpick_Ounknown(tc_HOL_Obool).
% 7.35/7.38  0 [] c_Nitpick_Owf_H(T_a,V_r_2)| -c_Wellfounded_Oacyclic(T_a,V_r_2)| -c_Finite__Set_Ofinite(tc_prod(T_a,T_a),V_r_2).
% 7.35/7.38  0 [] c_Nitpick_Owf_H(T_a,V_r_2)| -c_Wellfounded_Oacyclic(T_a,V_r_2)| -c_Nitpick_Ounknown(tc_HOL_Obool).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(T_a,c_Set_Oinsert(T_a,V_aa_2,V_A_2))|c_Finite__Set_Ofinite(T_a,V_A_2).
% 7.35/7.38  0 [] c_Finite__Set_Ofinite(T_a,c_Set_Oinsert(T_a,V_aa_2,V_A_2))| -c_Finite__Set_Ofinite(T_a,V_A_2).
% 7.35/7.38  0 [] c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_r_2)).
% 7.35/7.38  0 [] -class_Finite__Set_Ofinite(T_a)|c_Finite__Set_Ofinite(T_a,V_A_2).
% 7.35/7.38  0 [] -class_Finite__Set_Ofinite(T_a)|c_Finite__Set_Ofinite(T_a,V_A_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)|hAPP(V_Fa_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_f_2,V_x_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)| -c_member(T_a,V_x_2,V_A_2)|c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_f_2,V_x_2))=hAPP(V_Fa_2,V_A_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)|c_member(T_a,V_x_2,V_A_2)|hAPP(V_Fa_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_f_2,V_x_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_b,V_A_2)|c_member(T_b,V_x_2,V_A_2)|hAPP(V_Fa_2,c_Set_Oinsert(T_b,V_x_2,V_A_2))=hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding(T_a,T_b,V_fa_2,V_Fa_2)|c_Fun_Ocomp(T_e,T_d,T_c,V_f_2,c_Fun_Ocomp(T_f,T_e,T_c,V_g_2,V_h_2))=c_Fun_Ocomp(T_f,T_d,T_c,c_Fun_Ocomp(T_e,T_d,T_f,V_f_2,V_g_2),V_h_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)|c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2),hAPP(V_f_2,V_x_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_y_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)|c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),V_g_2))=c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2),V_g_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)|c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_f_2,V_x_2))=hAPP(V_f_2,V_x_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)|c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),V_g_2))=c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),V_g_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)| -c_Finite__Set_Ofinite(T_a,V_B_2)|c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_B_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2),V_g_2))=c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_B_2),V_g_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)| -c_Finite__Set_Ofinite(T_a,V_B_2)|c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_B_2),hAPP(V_Fa_2,V_A_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_Fa_2,V_B_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)|c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2),V_g_2))=c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_Fa_2,V_A_2),c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2),V_g_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)|c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,V_A_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_f_2,V_x_2)).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_ba_2)|c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_aa_2,V_s_2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_ba_2,V_t_2)),c_FunDef_Opair__le_q).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_b,V_A_2)|hAPP(V_Fa_2,c_Set_Oinsert(T_b,V_x_2,V_A_2))=hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_b,V_A_2)| -c_member(T_b,V_x_2,V_A_2)|hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_Fa_2,V_A_2))=hAPP(V_Fa_2,V_A_2).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_ba_2)|c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_aa_2,V_s_2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_ba_2,V_t_2)),c_FunDef_Opair__less).
% 7.35/7.38  0 [] c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)|hAPP(hAPP(V_f_2,V_x_2),V_x_2)=V_x_2.
% 7.35/7.38  0 [] c_FunDef_Opair__less=c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_y_2,V_YS_2)| -c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_y_2),c_FunDef_Opair__le_q)| -c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,V_YS_2),c_FunDef_Omax__weak)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_XS_2),V_YS_2),c_FunDef_Omax__weak).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_XS_2)| -c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_y_2),c_FunDef_Opair__le_q)| -c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,V_YS_2),c_FunDef_Omin__weak)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_y_2,V_YS_2)),c_FunDef_Omin__weak).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_y_2,V_Y_2)| -c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_y_2),c_FunDef_Opair__less)| -c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_X_2,V_Y_2),c_FunDef_Omax__strict)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_X_2),V_Y_2),c_FunDef_Omax__strict).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_XS_2)| -c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_x_2,V_y_2),c_FunDef_Opair__less)| -c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,V_YS_2),c_FunDef_Omin__strict)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_XS_2,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_y_2,V_YS_2)),c_FunDef_Omin__strict).
% 7.35/7.38  0 [] c_FunDef_Omax__strict=c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less).
% 7.35/7.38  0 [] c_FunDef_Omin__strict=c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less).
% 7.35/7.38  0 [] c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omin__strict,c_FunDef_Omin__weak)).
% 7.35/7.38  0 [] c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_FunDef_Omax__strict,c_FunDef_Omax__weak)).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_aa_2,V_ba_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s_2,V_t_2)|c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_aa_2,V_s_2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_ba_2,V_t_2)),c_FunDef_Opair__less).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_aa_2,V_ba_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_s_2,V_t_2)|c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_aa_2,V_s_2),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_ba_2,V_t_2)),c_FunDef_Opair__le_q).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 7.35/7.38  0 [] V_m!=V_n|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|V_m=V_n|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2=V_n_2.
% 7.35/7.38  0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 7.35/7.38  0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2!=V_n_2.
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2!=V_n_2.
% 7.35/7.38  0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2=V_n_2.
% 7.35/7.38  0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_n).
% 7.35/7.38  0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m).
% 7.35/7.38  0 [] V_m!=V_n|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j,V_k)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_k).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)|V_m=V_n.
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,V_y).
% 7.35/7.38  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))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_x_2,V_y_2),V_R_2)|c_member(tc_prod(T_a,T_a),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)).
% 7.35/7.38  0 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_m_2,V_n_2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 7.35/7.38  0 [] c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_m_2,V_n_2),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 7.35/7.38  0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x).
% 7.35/7.38  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2).
% 7.35/7.38  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2).
% 7.35/7.38  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 7.35/7.38  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 7.35/7.38  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_ca_2,V_A_2)|c_member(T_a,V_ca_2,V_B_2).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_x_2,V_B_2).
% 7.35/7.38  0 [] -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)|c_member(T_a,V_x_2,V_B_2).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_x_2,V_A_2)|c_member(T_a,V_x_2,V_B_2).
% 7.35/7.38  0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_p_2,V_r_2)|c_Wellfounded_Owf(T_a,V_p_2).
% 7.35/7.38  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2)).
% 7.35/7.38  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_ba_2,V_B_2)).
% 7.35/7.38  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_aa_2,V_C_2),c_Set_Oinsert(T_a,V_aa_2,V_D_2)).
% 7.35/7.38  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_Relation_Oantisym(T_a,V_s_2)|c_Relation_Oantisym(T_a,V_r_2).
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.38  0 [] -c_Wellfounded_OwfP(T_a,V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),V_p_2,V_r_2)|c_Wellfounded_OwfP(T_a,V_p_2).
% 7.35/7.38  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)).
% 7.35/7.38  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)).
% 7.35/7.38  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)).
% 7.35/7.38  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).
% 7.35/7.38  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)).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Finite__Set_Ofinite(T_a,V_B_2)|c_Finite__Set_Ofinite(T_a,V_A_2).
% 7.35/7.38  0 [] -c_Finite__Set_Ofinite(T_a,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Finite__Set_Ofinite(T_a,V_A_2).
% 7.35/7.38  0 [] -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_ca_2,V_A_2)|c_member(T_a,V_ca_2,V_B_2).
% 7.35/7.38  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_member(T_a,V_x_2,V_B_2).
% 7.35/7.38  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).
% 7.35/7.38  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_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).
% 7.35/7.38  0 [] 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).
% 7.35/7.38  0 [] 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).
% 7.35/7.38  0 [] -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)|c_member(tc_prod(T_a,T_a),V_p_2,c_Transitive__Closure_Otrancl(T_a,V_s_2)).
% 7.35/7.38  0 [] -c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_b,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),V_B_2,V_A_2)|hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_B_2)),hAPP(V_Fa_2,V_A_2))=hAPP(V_Fa_2,V_A_2).
% 7.35/7.38  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)).
% 7.35/7.38  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,$f80(V_g_2,V_f_2,T_a,T_b)),hAPP(V_g_2,$f80(V_g_2,V_f_2,T_a,T_b))).
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.38  0 [] -class_Orderings_Opreorder(T_a)|V_x!=V_y|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y).
% 7.35/7.38  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)).
% 7.35/7.38  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.
% 7.35/7.38  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.
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.38  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).
% 7.35/7.39  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.
% 7.35/7.39  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).
% 7.35/7.39  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.
% 7.35/7.39  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).
% 7.35/7.39  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)).
% 7.35/7.39  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).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_x).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|V_x_2=V_y_2|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|V_x_2!=V_y_2| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|V_x_2!=V_y_2| -c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|V_x_2=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x!=V_y.
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x!=V_y.
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_y!=V_x.
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 7.35/7.39  0 [] -class_Orderings_Oord(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless(T_a,V_a,V_c).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless(T_a,V_c,V_b)|c_Orderings_Oord__class_Oless(T_a,V_c,V_a).
% 7.35/7.39  0 [] -class_Orderings_Oord(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|V_b!=V_c|c_Orderings_Oord__class_Oless(T_a,V_a,V_c).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)|V_b!=V_c|c_Orderings_Oord__class_Oless(T_a,V_c,V_a).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 7.35/7.39  0 [] -c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)|c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_Fa_2,V_B_2))=hAPP(V_Fa_2,V_A_2).
% 7.35/7.39  0 [] -c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Wellfounded_Ofinite__psubset(T_a))|c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.35/7.39  0 [] -c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Wellfounded_Ofinite__psubset(T_a))|c_Finite__Set_Ofinite(T_a,V_B_2).
% 7.35/7.39  0 [] c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Wellfounded_Ofinite__psubset(T_a))| -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Finite__Set_Ofinite(T_a,V_B_2).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)|V_a=V_b|c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|V_a=V_b|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y.
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)|V_a=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)|c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)|V_a=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y).
% 7.35/7.39  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y_2,V_x_2).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless(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).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)|V_x_2!=V_y_2.
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x_2,V_y_2)|V_x_2=V_y_2.
% 7.35/7.39  0 [] -c_FunDef_Oreduction__pair(T_a,V_Pa_2)|c_FunDef_Oreduction__pair(T_b,c_FunDef_Orp__inv__image(T_a,T_b,V_Pa_2,V_f_2)).
% 7.35/7.39  0 [] -c_Wellfounded_Owf(T_a,V_R_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_S_2),V_R_2)|c_FunDef_Oreduction__pair(T_a,c_Product__Type_OPair(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)).
% 7.35/7.39  0 [] c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_X_2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__weak).
% 7.35/7.39  0 [] V_X_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),V_X_2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_FunDef_Omin__strict).
% 7.35/7.39  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.
% 7.35/7.39  0 [] -c_member(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.39  0 [] c_Finite__Set_Ofinite(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.39  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).
% 7.35/7.39  0 [] c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.35/7.39  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_aa_2,V_ba_2),V_r_2)| -c_member(tc_prod(T_b,T_c),c_Product__Type_OPair(T_b,T_c,V_ba_2,V_ca_2),V_s_2)|c_member(tc_prod(T_a,T_c),c_Product__Type_OPair(T_a,T_c,V_aa_2,V_ca_2),c_Relation_Orel__comp(T_a,T_b,T_c,V_r_2,V_s_2)).
% 7.35/7.39  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))).
% 7.35/7.39  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2).
% 7.35/7.39  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)).
% 7.35/7.39  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)).
% 7.35/7.39  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).
% 7.35/7.39  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).
% 7.35/7.39  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).
% 7.35/7.39  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).
% 7.35/7.39  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).
% 7.35/7.39  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).
% 7.35/7.39  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).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_r_H_2,V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_s_H_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_b,T_c,V_r_H_2,V_s_H_2),c_Relation_Orel__comp(T_a,T_b,T_c,V_r_2,V_s_2)).
% 7.35/7.39  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).
% 7.35/7.39  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).
% 7.35/7.39  0 [] -class_Orderings_Obot(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Orderings_Obot__class_Obot(T_a),V_x).
% 7.35/7.39  0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_f_2,V_g_2).
% 7.35/7.39  0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_g_2,V_f_2).
% 7.35/7.39  0 [] -class_Orderings_Oord(T_b)|c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2)| -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(tc_fun(T_a,T_b),V_g_2,V_f_2).
% 7.35/7.39  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(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)|c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless(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(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless(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,V_B_2).
% 7.35/7.39  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(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|V_A_2=V_B_2.
% 7.35/7.39  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(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.35/7.39  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|V_A_2!=V_B_2.
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless(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,V_B_2).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|V_A_2!=V_B_2.
% 7.35/7.39  0 [] c_Orderings_Oord__class_Oless(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,V_B_2)|V_A_2=V_B_2.
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))=c_Transitive__Closure_Ortrancl(T_a,V_R_2).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_a,T_a,V_r_2,c_Transitive__Closure_Ortrancl(T_a,V_r_2))=c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2),V_r_2).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)|c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2).
% 7.35/7.39  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).
% 7.35/7.39  0 [] c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2).
% 7.35/7.39  0 [] c_member(T_a,$f81(V_A_2,T_a),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.35/7.39  0 [] -c_member(T_a,B_x,V_A_2)|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.35/7.39  0 [] -c_member(T_a,B_x,V_A_2)|V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.35/7.39  0 [] c_member(T_a,$f82(V_A_2,T_a),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.35/7.39  0 [] -c_member(T_a,V_ca_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.39  0 [] V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))| -c_member(T_a,V_aa_2,V_A_2).
% 7.35/7.39  0 [] -c_Wellfounded_Owf(T_a,V_R_2)|c_Wellfounded_Owf(T_a,c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_R_2)).
% 7.35/7.39  0 [] c_Wellfounded_Owf(T_a,V_R_2)| -c_Wellfounded_Owf(T_a,c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_R_2)).
% 7.35/7.39  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_aa_2,V_A_2).
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_ca_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2=V_ca_2|V_aa_2=V_d_2.
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_ca_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2=V_ca_2|V_ba_2=V_ca_2.
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_ca_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2=V_d_2|V_aa_2=V_d_2.
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_ca_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2=V_d_2|V_ba_2=V_ca_2.
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_ca_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2!=V_ca_2|V_ba_2!=V_d_2.
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_ca_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_aa_2!=V_d_2|V_ba_2!=V_ca_2.
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))!=c_Set_Oinsert(T_a,V_ba_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_aa_2=V_ba_2.
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_R_2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))|c_Wellfounded_Owf(T_a,V_R_2).
% 7.35/7.39  0 [] -c_Relation_Osingle__valued(T_a,T_b,V_r_2)| -c_Relation_Osingle__valued(T_b,T_c,V_s_2)|c_Relation_Osingle__valued(T_a,T_c,c_Relation_Orel__comp(T_a,T_b,T_c,V_r_2,V_s_2)).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_b,T_b,V_R_2,c_Relation_OId(T_b))=V_R_2.
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_a,T_b,c_Relation_OId(T_a),V_R_2)=V_R_2.
% 7.35/7.39  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)).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_c,T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_R_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_c,T_b,V_R_2,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_c,T_b,c_Relation_Orel__comp(T_a,T_d,T_c,V_R_2,V_S_2),V_T_2)=c_Relation_Orel__comp(T_a,T_d,T_b,V_R_2,c_Relation_Orel__comp(T_d,T_c,T_b,V_S_2,V_T_2)).
% 7.35/7.39  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))).
% 7.35/7.39  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)).
% 7.35/7.39  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)).
% 7.35/7.39  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)).
% 7.35/7.39  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)).
% 7.35/7.39  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)).
% 7.35/7.39  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)).
% 7.35/7.39  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)).
% 7.35/7.39  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),c_Relation_Orel__comp(T_b,T_c,T_a,V_r_2,V_s_2))=c_Relation_Orel__comp(T_a,T_c,T_b,hAPP(c_Relation_Oconverse(T_c,T_a),V_s_2),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)).
% 7.35/7.39  0 [] c_Finite__Set_Ofinite(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 7.35/7.39  0 [] c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 7.35/7.39  0 [] -c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)|hAPP(V_Fa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))=V_z_2.
% 7.35/7.39  0 [] -c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2=V_aa_2.
% 7.35/7.39  0 [] -c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2=V_aa_2.
% 7.35/7.39  0 [] c_member(T_a,V_ba_2,c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_ba_2!=V_aa_2.
% 7.35/7.39  0 [] c_Transitive__Closure_Otrancl(T_a,V_r_2)=c_Relation_Orel__comp(T_a,T_a,T_a,V_r_2,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 7.35/7.39  0 [] c_Transitive__Closure_Otrancl(T_a,V_r_2)=c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2),V_r_2).
% 7.35/7.39  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).
% 7.35/7.39  0 [] -c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_X_2)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_FunDef_Omax__weak).
% 7.35/7.39  0 [] -c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat),V_Y_2)|V_Y_2=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_Y_2),c_FunDef_Omax__strict).
% 7.35/7.39  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_Relation_Orel__comp(T_a,T_a,T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2),V_r_2)).
% 7.35/7.39  0 [] c_Set_Othe__elem(T_a,c_Set_Oinsert(T_a,V_x_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=V_x_2.
% 7.35/7.39  0 [] c_FunDef_Omax__weak=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__le_q),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))).
% 7.35/7.39  0 [] c_FunDef_Omin__weak=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__le_q),c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))).
% 7.35/7.39  0 [] -c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_ca_2,V_A_2)|c_member(T_a,V_ca_2,V_B_2).
% 7.35/7.39  0 [] -c_member(T_a,V_ca_2,V_B_2)|c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.39  0 [] -c_member(T_a,V_ca_2,V_A_2)|c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.39  0 [] c_Set_Oinsert(T_a,V_aa_2,V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2).
% 7.35/7.39  0 [] 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.
% 7.35/7.39  0 [] 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.
% 7.35/7.39  0 [] 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)).
% 7.35/7.39  0 [] 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)).
% 7.35/7.39  0 [] 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)).
% 7.35/7.39  0 [] -c_Finite__Set_Ofinite(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_Fa_2,V_G_2))|c_Finite__Set_Ofinite(T_a,V_Fa_2).
% 7.35/7.39  0 [] -c_Finite__Set_Ofinite(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_Fa_2,V_G_2))|c_Finite__Set_Ofinite(T_a,V_G_2).
% 7.35/7.39  0 [] c_Finite__Set_Ofinite(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_Fa_2,V_G_2))| -c_Finite__Set_Ofinite(T_a,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_G_2).
% 7.35/7.39  0 [] -c_Finite__Set_Ofinite(T_a,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_G_2)|c_Finite__Set_Ofinite(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_Fa_2,V_G_2)).
% 7.35/7.39  0 [] -c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))|c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_R_2),c_Relation_Orel__comp(T_a,T_a,T_a,V_S_2,V_R_2)),V_S_2)).
% 7.35/7.39  0 [] c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))| -c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_R_2),c_Relation_Orel__comp(T_a,T_a,T_a,V_S_2,V_R_2)),V_S_2)).
% 7.35/7.39  0 [] c_Transitive__Closure_Otrancl(T_a,V_r_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2),V_r_2)).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_a,T_a,V_A_2,V_C_2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))|c_Relation_Orel__comp(T_a,T_a,T_a,V_B_2,V_C_2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))|c_Relation_Orel__comp(T_a,T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_a,T_a,V_A_2,V_B_2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))|c_Relation_Orel__comp(T_a,T_a,T_a,V_A_2,V_C_2)!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))|c_Relation_Orel__comp(T_a,T_a,T_a,V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_B_2,V_C_2))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)).
% 7.35/7.39  0 [] 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).
% 7.35/7.39  0 [] c_Transitive__Closure_Ortrancl(T_a,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).
% 7.35/7.39  0 [] -c_Relation_Oantisym(T_a,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_Relation_Oantisym(T_a,V_r_2).
% 7.35/7.39  0 [] c_Relation_Oantisym(T_a,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_Relation_Oantisym(T_a,V_r_2).
% 7.35/7.39  0 [] -c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_b,V_A_2)| -c_Finite__Set_Ofinite(T_b,V_B_2)|hAPP(V_Fa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2))=hAPP(hAPP(V_f_2,hAPP(V_Fa_2,V_A_2)),hAPP(V_Fa_2,V_B_2)).
% 7.35/7.39  0 [] c_Transitive__Closure_Ortrancl(T_a,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,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)).
% 7.35/7.39  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_aa_2,V_B_2))=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.39  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_aa_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_aa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.35/7.39  0 [] c_Relation_ODomain(T_a,T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))=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)).
% 7.35/7.39  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2.
% 7.35/7.39  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 7.35/7.39  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 7.35/7.39  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2)).
% 7.35/7.39  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 7.35/7.39  0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_Pa_2,B_x))|c_member(T_a,$f83(V_Pa_2,V_B_2,V_A_2,T_a),V_A_2)|c_member(T_a,$f84(V_Pa_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.35/7.39  0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_Pa_2,B_x))|c_member(T_a,$f83(V_Pa_2,V_B_2,V_A_2,T_a),V_A_2)|hBOOL(hAPP(V_Pa_2,$f84(V_Pa_2,V_B_2,V_A_2,T_a))).
% 7.35/7.39  0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_Pa_2,B_x))|hBOOL(hAPP(V_Pa_2,$f83(V_Pa_2,V_B_2,V_A_2,T_a)))|c_member(T_a,$f84(V_Pa_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.35/7.39  0 [] -c_member(T_a,B_x,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -hBOOL(hAPP(V_Pa_2,B_x))|hBOOL(hAPP(V_Pa_2,$f83(V_Pa_2,V_B_2,V_A_2,T_a)))|hBOOL(hAPP(V_Pa_2,$f84(V_Pa_2,V_B_2,V_A_2,T_a))).
% 7.35/7.39  0 [] c_member(T_a,$f85(V_Pa_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X2,V_A_2)| -hBOOL(hAPP(V_Pa_2,X2)).
% 7.35/7.39  0 [] c_member(T_a,$f85(V_Pa_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X3,V_B_2)| -hBOOL(hAPP(V_Pa_2,X3)).
% 7.35/7.39  0 [] hBOOL(hAPP(V_Pa_2,$f85(V_Pa_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X2,V_A_2)| -hBOOL(hAPP(V_Pa_2,X2)).
% 7.35/7.39  0 [] hBOOL(hAPP(V_Pa_2,$f85(V_Pa_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X3,V_B_2)| -hBOOL(hAPP(V_Pa_2,X3)).
% 7.35/7.39  0 [] c_member(T_a,$f86(V_Pa_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,B_x,V_A_2)|hBOOL(hAPP(V_Pa_2,B_x)).
% 7.35/7.39  0 [] c_member(T_a,$f86(V_Pa_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X4,V_B_2)|hBOOL(hAPP(V_Pa_2,X4)).
% 7.35/7.39  0 [] -hBOOL(hAPP(V_Pa_2,$f86(V_Pa_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,B_x,V_A_2)|hBOOL(hAPP(V_Pa_2,B_x)).
% 7.35/7.39  0 [] -hBOOL(hAPP(V_Pa_2,$f86(V_Pa_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X4,V_B_2)|hBOOL(hAPP(V_Pa_2,X4)).
% 7.35/7.39  0 [] -c_member(T_a,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_Pa_2,X5))|c_member(T_a,$f87(V_Pa_2,V_B_2,V_A_2,T_a),V_A_2)|c_member(T_a,$f88(V_Pa_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.35/7.39  0 [] -c_member(T_a,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_Pa_2,X5))|c_member(T_a,$f87(V_Pa_2,V_B_2,V_A_2,T_a),V_A_2)| -hBOOL(hAPP(V_Pa_2,$f88(V_Pa_2,V_B_2,V_A_2,T_a))).
% 7.35/7.39  0 [] -c_member(T_a,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_Pa_2,X5))| -hBOOL(hAPP(V_Pa_2,$f87(V_Pa_2,V_B_2,V_A_2,T_a)))|c_member(T_a,$f88(V_Pa_2,V_B_2,V_A_2,T_a),V_B_2).
% 7.35/7.39  0 [] -c_member(T_a,X5,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_Pa_2,X5))| -hBOOL(hAPP(V_Pa_2,$f87(V_Pa_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(V_Pa_2,$f88(V_Pa_2,V_B_2,V_A_2,T_a))).
% 7.35/7.39  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,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)).
% 7.35/7.39  0 [] c_Relation_ORange(T_b,T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))=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)).
% 7.35/7.39  0 [] hAPP(c_Relation_Oconverse(T_b,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_r_2,V_s_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)).
% 7.35/7.39  0 [] -c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.35/7.39  0 [] -c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,V_S_2))|c_member(tc_prod(T_a,T_a),V_x_2,c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_c,T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),V_S_2,V_T_2),V_R_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_c,T_b,V_S_2,V_R_2),c_Relation_Orel__comp(T_a,T_c,T_b,V_T_2,V_R_2)).
% 7.35/7.39  0 [] c_Relation_Orel__comp(T_a,T_c,T_b,V_R_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2,V_T_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_c,T_b,V_R_2,V_S_2),c_Relation_Orel__comp(T_a,T_c,T_b,V_R_2,V_T_2)).
% 7.35/7.39  0 [] -c_member(T_a,V_ca_2,V_B_2)|c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.39  0 [] -c_member(T_a,V_ca_2,V_A_2)|c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.39  0 [] -c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_ca_2,V_A_2)|c_member(T_a,V_ca_2,V_B_2).
% 7.35/7.39  0 [] c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_ca_2,V_A_2).
% 7.35/7.39  0 [] c_member(T_a,V_ca_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_ca_2,V_B_2).
% 7.35/7.39  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),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,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2))).
% 7.35/7.39  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),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)).
% 7.35/7.39  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),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_A_2.
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2.
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)=V_B_2.
% 7.35/7.39  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)!=V_B_2.
% 7.35/7.39  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.39  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 7.35/7.39  0 [] -c_Wellfounded_Owf(T_a,V_R_2)| -c_Wellfounded_Owf(T_a,V_S_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_S_2),V_R_2)|c_Wellfounded_Owf(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2,V_S_2)).
% 7.35/7.39  0 [] c_Transitive__Closure_Otrancl(T_a,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).
% 7.35/7.39  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Transitive__Closure_Otrancl(T_a,V_r_2),c_Relation_OId(T_a))=c_Transitive__Closure_Ortrancl(T_a,V_r_2).
% 7.35/7.39  0 [] c_Transitive__Closure_Ortrancl(T_a,V_r_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_OId(T_a),c_Relation_Orel__comp(T_a,T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2),V_r_2)).
% 7.35/7.39  0 [] -c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)| -c_Finite__Set_Ofinite(T_a,V_B_2)|hAPP(V_Fa_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))=c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_Fa_2,V_A_2),hAPP(V_Fa_2,V_B_2)).
% 7.35/7.39  0 [] -c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Wellfounded_Omax__ext(T_a,V_R_2))| -c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2),c_Wellfounded_Omax__ext(T_a,V_R_2))|c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_D_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_S_2),V_R_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool),c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_R_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_S_2),c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool))))),c_Wellfounded_Omax__ext(T_a,V_R_2)).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Orel__comp(T_a,T_a,T_a,V_R_2,V_S_2),V_R_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool),c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_R_2),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_S_2),c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool))))),c_Wellfounded_Omin__ext(T_a,V_R_2)).
% 7.35/7.39  0 [] -hBOOL(hAPP(V_B_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.35/7.39  0 [] -hBOOL(hAPP(V_A_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.35/7.39  0 [] -hBOOL(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)).
% 7.35/7.39  0 [] c_FunDef_Opair__le_q=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool),c_FunDef_Opair__less,c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))).
% 7.35/7.39  0 [] -c_member(T_a,V_x_2,c_fe_qual(V_y_2))|V_x_2=V_y_2.
% 7.35/7.39  0 [] c_member(T_a,V_x_2,c_fe_qual(V_y_2))|V_x_2!=V_y_2.
% 7.35/7.39  0 [] -hBOOL(hAPP(V_Pa_2,V_x_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)|hBOOL(hAPP(V_Q_2,V_x_2)).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_Pa_2,V_Q_2)| -hBOOL(hAPP(V_Pa_2,V_x_2))|hBOOL(hAPP(V_Q_2,V_x_2)).
% 7.35/7.39  0 [] -hBOOL(hAPP(V_A_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.35/7.39  0 [] -hBOOL(hAPP(V_B_2,V_x_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_x_2)).
% 7.35/7.39  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Pa_2,V_Q_2)| -hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))|hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)).
% 7.35/7.39  0 [] -hBOOL(hAPP(hAPP(V_Pa_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_Pa_2,V_Q_2)|hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)).
% 7.35/7.39  0 [] -c_Finite__Set_Ofolding__one(T_a,V_f_2,V_Fa_2)| -c_Finite__Set_Ofinite(T_a,V_A_2)|c_member(T_a,V_x_2,V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|hAPP(V_Fa_2,c_Set_Oinsert(T_a,V_x_2,V_A_2))=hAPP(hAPP(V_f_2,V_x_2),hAPP(V_Fa_2,V_A_2)).
% 7.35/7.39  0 [] -class_Lattices_Olattice(T_a)|hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a),V_f_2,V_g_2),V_x_2)=c_Lattices_Osemilattice__sup__class_Osup(T_a,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)).
% 7.35/7.39  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_a)=V_a.
% 7.35/7.39  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_x)=V_x.
% 7.35/7.39  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_a).
% 7.35/7.39  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x).
% 7.35/7.39  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_x).
% 7.35/7.39  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b).
% 7.35/7.39  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y).
% 7.35/7.39  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y).
% 7.35/7.39  0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)).
% 7.35/7.39  0 [] -class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)).
% 7.35/7.39  0 [] -class_Finite__Set_Ofinite(T_2)| -class_Finite__Set_Ofinite(T_1)|class_Finite__Set_Ofinite(tc_fun(T_2,T_1)).
% 7.35/7.39  0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Olattice(tc_fun(T_2,T_1)).
% 7.35/7.39  0 [] -class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)).
% 7.35/7.39  0 [] -class_Orderings_Oord(T_1)|class_Orderings_Oord(tc_fun(T_2,T_1)).
% 7.35/7.39  0 [] -class_Orderings_Obot(T_1)|class_Orderings_Obot(tc_fun(T_2,T_1)).
% 7.35/7.39  0 [] class_Lattices_Osemilattice__sup(tc_Nat_Onat).
% 7.35/7.39  0 [] class_Orderings_Opreorder(tc_Nat_Onat).
% 7.35/7.39  0 [] class_Orderings_Olinorder(tc_Nat_Onat).
% 7.35/7.39  0 [] class_Lattices_Olattice(tc_Nat_Onat).
% 7.35/7.39  0 [] class_Orderings_Oorder(tc_Nat_Onat).
% 7.35/7.39  0 [] class_Orderings_Oord(tc_Nat_Onat).
% 7.35/7.39  0 [] class_Orderings_Obot(tc_Nat_Onat).
% 7.35/7.39  0 [] class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 7.35/7.39  0 [] class_Orderings_Opreorder(tc_HOL_Obool).
% 7.35/7.39  0 [] class_Finite__Set_Ofinite(tc_HOL_Obool).
% 7.35/7.39  0 [] class_Lattices_Olattice(tc_HOL_Obool).
% 7.35/7.39  0 [] class_Orderings_Oorder(tc_HOL_Obool).
% 7.35/7.39  0 [] class_Orderings_Oord(tc_HOL_Obool).
% 7.35/7.39  0 [] class_Orderings_Obot(tc_HOL_Obool).
% 7.35/7.39  0 [] -class_Finite__Set_Ofinite(T_2)| -class_Finite__Set_Ofinite(T_1)|class_Finite__Set_Ofinite(tc_prod(T_2,T_1)).
% 7.35/7.39  0 [] -hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2.
% 7.35/7.39  0 [] V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2)).
% 7.35/7.39  0 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____)).
% 7.35/7.39  0 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(v_F,c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_F,v_P_H____)).
% 7.35/7.39  end_of_list.
% 7.35/7.39  
% 7.35/7.39  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 7.35/7.39  
% 7.35/7.39  This ia a non-Horn set with equality.  The strategy will be
% 7.35/7.39  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 7.35/7.39  deletion, with positive clauses in sos and nonpositive
% 7.35/7.39  clauses in usable.
% 7.35/7.39  
% 7.35/7.39     dependent: set(knuth_bendix).
% 7.35/7.39     dependent: set(anl_eq).
% 7.35/7.39     dependent: set(para_from).
% 7.35/7.39     dependent: set(para_into).
% 7.35/7.39     dependent: clear(para_from_right).
% 7.35/7.39     dependent: clear(para_into_right).
% 7.35/7.39     dependent: set(para_from_vars).
% 7.35/7.39     dependent: set(eq_units_both_ways).
% 7.35/7.39     dependent: set(dynamic_demod_all).
% 7.35/7.39     dependent: set(dynamic_demod).
% 7.35/7.39     dependent: set(order_eq).
% 7.35/7.39     dependent: set(back_demod).
% 7.35/7.39     dependent: set(lrpo).
% 7.35/7.39     dependent: set(hyper_res).
% 7.35/7.39     dependent: set(unit_deletion).
% 7.35/7.39     dependent: set(factor).
% 7.35/7.39  
% 7.35/7.39  ------------> process usable:
% 7.35/7.39  ** KEPT (pick-wt=14): 1 [] hAPP(A,$f1(B,A))!=hAPP(B,$f1(B,A))|A=B.
% 7.35/7.39  ** KEPT (pick-wt=3): 3 [copy,2,flip.1] v_b____!=v_a____.
% 7.35/7.39  ** KEPT (pick-wt=3): 5 [copy,4,flip.1] v_c____!=v_b____.
% 7.35/7.39  ** KEPT (pick-wt=3): 7 [copy,6,flip.1] v_c____!=v_a____.
% 7.35/7.39  ** KEPT (pick-wt=39): 8 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),A))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,A)).
% 7.35/7.39  ** KEPT (pick-wt=39): 9 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_a____),hAPP(c_Fun_Ocomp(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____),A))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,A)).
% 7.35/7.39  ** KEPT (pick-wt=24): 10 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,A))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,A)).
% 7.35/7.39  ** KEPT (pick-wt=24): 11 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_a____,v_b____),hAPP(v_P____,A))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_b____,v_c____),hAPP(v_P_H____,A)).
% 7.35/7.39  ** KEPT (pick-wt=24): 12 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),hAPP(c_Relation_Oconverse(B,A),E))|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 7.35/7.39  ** KEPT (pick-wt=24): 13 [] c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),hAPP(c_Relation_Oconverse(B,A),E))| -c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 7.35/7.39    Following clause subsumed by 13 during input processing: 0 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),E)|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),hAPP(c_Relation_Oconverse(A,B),E)).
% 7.35/7.39    Following clause subsumed by 12 during input processing: 0 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),hAPP(c_Relation_Oconverse(B,A),E))|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 7.35/7.39  ** KEPT (pick-wt=11): 14 [] A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 7.35/7.39  ** KEPT (pick-wt=11): 15 [] A!=B|c_member(C,D,B)| -c_member(C,D,A).
% 7.35/7.39  ** KEPT (pick-wt=15): 16 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.39  ** KEPT (pick-wt=18): 17 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.39  ** KEPT (pick-wt=25): 18 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.35/7.39  ** KEPT (pick-wt=28): 19 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.35/7.39  ** KEPT (pick-wt=21): 20 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.39  ** KEPT (pick-wt=28): 21 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.35/7.39  ** KEPT (pick-wt=15): 22 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.39  ** KEPT (pick-wt=18): 23 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.39  ** KEPT (pick-wt=25): 24 [] -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.35/7.39  ** KEPT (pick-wt=28): 25 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.35/7.39  ** KEPT (pick-wt=21): 26 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.39  ** KEPT (pick-wt=28): 27 [] c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),C).
% 7.35/7.39  ** KEPT (pick-wt=19): 28 [] -hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(A,B,C),D),E))|c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C).
% 7.35/7.39  ** KEPT (pick-wt=19): 29 [] hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(A,B,C),D),E))| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C).
% 7.35/7.39  ** KEPT (pick-wt=46): 30 [] -hBOOL(hAPP(A,B))| -c_member(tc_prod(C,C),c_Product__Type_OPair(C,C,D,E),hAPP(F,B))|c_member(tc_prod(tc_prod(G,C),tc_prod(G,C)),c_Product__Type_OPair(tc_prod(G,C),tc_prod(G,C),c_Product__Type_OPair(G,C,B,D),c_Product__Type_OPair(G,C,B,E)),c_Recdef_Osame__fst(G,C,A,F)).
% 7.35/7.39  ** KEPT (pick-wt=13): 31 [] -c_Nitpick_Orefl_H(A,B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.35/7.39  ** KEPT (pick-wt=17): 32 [] c_Nitpick_Orefl_H(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f2(B,A),$f2(B,A)),B).
% 7.35/7.39  ** KEPT (pick-wt=11): 33 [] A!=B| -c_member(C,B,D)|c_member(C,A,D).
% 7.35/7.39  ** KEPT (pick-wt=11): 34 [] A!=B| -c_member(C,A,D)|c_member(C,B,D).
% 7.35/7.39    Following clause subsumed by 33 during input processing: 0 [] A!=B|c_member(C,A,D)| -c_member(C,B,D).
% 7.35/7.39    Following clause subsumed by 15 during input processing: 0 [] A!=B| -c_member(C,D,A)|c_member(C,D,B).
% 7.35/7.39    Following clause subsumed by 14 during input processing: 0 [] A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 7.35/7.39  ** KEPT (pick-wt=8): 35 [] -c_member(A,B,C)|hBOOL(hAPP(C,B)).
% 7.35/7.39  ** KEPT (pick-wt=8): 36 [] c_member(A,B,C)| -hBOOL(hAPP(C,B)).
% 7.35/7.39  ** KEPT (pick-wt=28): 37 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(G,H,I,A,B),C)=hAPP(c_Fun_Ocomp(J,H,K,D,E),F).
% 7.35/7.39  ** KEPT (pick-wt=79): 38 [] A=B| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),D,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(C,$f3(D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,A),hAPP(D,$f3(D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,C))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,A),hAPP(v_F,D)).
% 7.35/7.39  ** KEPT (pick-wt=79): 39 [] A=B| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),D,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(C,$f3(D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,A),hAPP(D,$f3(D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,C))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,A),hAPP(v_F,D)).
% 7.35/7.39  ** KEPT (pick-wt=79): 40 [] A=B| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),D,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(C,$f3(D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,A),hAPP(D,$f3(D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,C))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,A),hAPP(v_F,D)).
% 7.35/7.39  ** KEPT (pick-wt=79): 41 [] A=B| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),D,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(C,$f3(D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,A),hAPP(D,$f3(D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,C))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,A),hAPP(v_F,D)).
% 7.35/7.39  ** KEPT (pick-wt=92): 42 [] A=B|C=D|A=D|B=C| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),E,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),F,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(E,$f4(F,E,D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(F,$f4(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,E))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(v_F,F)).
% 7.35/7.40  ** KEPT (pick-wt=92): 43 [] A=B|C=D|A=D|B=C| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),E,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),F,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(E,$f4(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(F,$f4(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,E))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(v_F,F)).
% 7.35/7.40  ** KEPT (pick-wt=92): 44 [] A=B|C=D|A=D|B=C| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),E,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),F,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(E,$f5(F,E,D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(F,$f5(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,E))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(v_F,F)).
% 7.35/7.40  ** KEPT (pick-wt=92): 45 [] A=B|C=D|A=D|B=C| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),E,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),F,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(E,$f5(F,E,D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(F,$f5(F,E,D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,E))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(v_F,F)).
% 7.35/7.40  ** KEPT (pick-wt=92): 46 [] A=B|C=D|A=D|B=C| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),E,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),F,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(E,$f5(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(F,$f5(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,E))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(v_F,F)).
% 7.35/7.40  ** KEPT (pick-wt=92): 47 [] A=B|C=D|A=D|B=C| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),E,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),F,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(E,$f5(F,E,D,C,B,A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(F,$f5(F,E,D,C,B,A)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,B),hAPP(v_F,E))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(v_F,F)).
% 7.35/7.40  ** KEPT (pick-wt=13): 48 [] -c_Relation_Oirrefl(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.35/7.40  ** KEPT (pick-wt=80): 49 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(B,$f7(A,B,C,D,E)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(C,$f7(A,B,C,D,E)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,B))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,C)).
% 7.35/7.40  ** KEPT (pick-wt=80): 50 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(B,$f7(A,B,C,D,E)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(C,$f7(A,B,C,D,E)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,B))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,C)).
% 7.35/7.40  ** KEPT (pick-wt=80): 51 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(B,$f7(A,B,C,D,E)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(C,$f7(A,B,C,D,E)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,B))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,C)).
% 7.35/7.40  ** KEPT (pick-wt=80): 52 [] -c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(B,$f7(A,B,C,D,E)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(C,$f7(A,B,C,D,E)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,B))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),hAPP(A,C)).
% 7.35/7.40  ** KEPT (pick-wt=32): 53 [] c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP($f11(A),B))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP($f10(A),B)).
% 7.35/7.40  ** KEPT (pick-wt=32): 54 [] c_Arrow__Order__Mirabelle_OIIA(A)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP($f11(A),B))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP($f10(A),B)).
% 7.35/7.40  ** KEPT (pick-wt=32): 55 [] c_Arrow__Order__Mirabelle_OIIA(A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP(A,$f11(A)))| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f9(A),$f8(A)),hAPP(A,$f10(A))).
% 7.35/7.40  ** KEPT (pick-wt=40): 56 [] -c_Arrow__Order__Mirabelle_Ounanimity(A)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),B,c_Arrow__Order__Mirabelle_OProf)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(B,$f12(A,B,C,D)))|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,D),hAPP(A,B)).
% 7.35/7.40  ** KEPT (pick-wt=17): 57 [] c_Arrow__Order__Mirabelle_Ounanimity(A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,$f14(A),$f13(A)),hAPP(A,$f15(A))).
% 7.35/7.40  ** KEPT (pick-wt=43): 58 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),G)|C=E.
% 7.35/7.40  ** KEPT (pick-wt=50): 59 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),G)|c_member(tc_prod(B,B),c_Product__Type_OPair(B,B,D,F),H).
% 7.35/7.40  ** KEPT (pick-wt=40): 60 [] c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),G).
% 7.35/7.40  ** KEPT (pick-wt=43): 61 [] c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Wellfounded_Olex__prod(A,B,G,H))|C!=E| -c_member(tc_prod(B,B),c_Product__Type_OPair(B,B,D,F),H).
% 7.35/7.40  ** KEPT (pick-wt=20): 62 [] -c_Arrow__Order__Mirabelle_Odictator(A,B)| -c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),C,c_Arrow__Order__Mirabelle_OProf)|hAPP(A,C)=hAPP(C,B).
% 7.35/7.40  ** KEPT (pick-wt=14): 64 [copy,63,flip.2] c_Arrow__Order__Mirabelle_Odictator(A,B)|hAPP($f16(B,A),B)!=hAPP(A,$f16(B,A)).
% 7.35/7.40  ** KEPT (pick-wt=25): 66 [copy,65,flip.2] -c_member(tc_prod(A,B),C,hAPP(c_Relation_Oconverse(B,A),D))|c_Product__Type_OPair(A,B,$f17(D,C,B,A),$f18(D,C,B,A))=C.
% 7.35/7.40  ** KEPT (pick-wt=28): 67 [] -c_member(tc_prod(A,B),C,hAPP(c_Relation_Oconverse(B,A),D))|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,$f18(D,C,B,A),$f17(D,C,B,A)),D).
% 7.35/7.40  ** KEPT (pick-wt=17): 68 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),E)|c_member(B,D,c_Relation_ORange(A,B,E)).
% 7.35/7.40  ** KEPT (pick-wt=19): 69 [] A!=B| -c_member(C,A,D)|c_member(tc_prod(C,C),c_Product__Type_OPair(C,C,A,B),c_Relation_OId__on(C,D)).
% 7.35/7.40  ** KEPT (pick-wt=21): 70 [] -c_member(A,B,c_Relation_ORange(C,A,D))|c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,$f19(D,C,B,A),B),D).
% 7.35/7.40    Following clause subsumed by 68 during input processing: 0 [] c_member(A,B,c_Relation_ORange(C,A,D))| -c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,E,B),D).
% 7.35/7.40  ** KEPT (pick-wt=15): 71 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|B=C.
% 7.35/7.40  ** KEPT (pick-wt=16): 72 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|c_member(A,B,D).
% 7.35/7.40    Following clause subsumed by 69 during input processing: 0 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId__on(A,D))|B!=C| -c_member(A,B,D).
% 7.35/7.40  ** KEPT (pick-wt=15): 73 [] -c_member(tc_prod(A,A),B,c_Relation_OId__on(A,C))|c_member(A,$f20(C,B,A),C).
% 7.35/7.40  ** KEPT (pick-wt=21): 75 [copy,74,flip.2] -c_member(tc_prod(A,A),B,c_Relation_OId__on(A,C))|c_Product__Type_OPair(A,A,$f20(C,B,A),$f20(C,B,A))=B.
% 7.35/7.40  ** KEPT (pick-wt=21): 76 [] -c_member(A,B,c_Relation_ORange(C,A,D))|c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,$f21(D,C,B,A),B),D).
% 7.35/7.40  ** KEPT (pick-wt=17): 77 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),E)|c_member(A,C,c_Relation_ODomain(A,B,E)).
% 7.35/7.40  ** KEPT (pick-wt=22): 78 [] -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),C)|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 7.35/7.40  ** KEPT (pick-wt=15): 79 [] c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(A,$f22(C,B,A),c_Wellfounded_Oacc(A,C)).
% 7.35/7.40    Following clause subsumed by 78 during input processing: 0 [] -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),C)|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 7.35/7.40  ** KEPT (pick-wt=35): 80 [] -c_Relation_Ototal__on(A,B,C)| -c_member(A,D,B)| -c_member(A,E,B)|D=E|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),C)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,E,D),C).
% 7.35/7.40  ** KEPT (pick-wt=13): 81 [] c_Relation_Ototal__on(A,B,C)|$f24(C,B,A)!=$f23(C,B,A).
% 7.35/7.40  ** KEPT (pick-wt=20): 82 [] c_Relation_Ototal__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f24(C,B,A),$f23(C,B,A)),C).
% 7.35/7.40  ** KEPT (pick-wt=20): 83 [] c_Relation_Ototal__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f23(C,B,A),$f24(C,B,A)),C).
% 7.35/7.40  ** KEPT (pick-wt=29): 84 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),hAPP(c_Relation_Oinv__image(D,A,E),F))|c_member(tc_prod(D,D),c_Product__Type_OPair(D,D,hAPP(F,B),hAPP(F,C)),E).
% 7.35/7.40  ** KEPT (pick-wt=29): 85 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),hAPP(c_Relation_Oinv__image(D,A,E),F))| -c_member(tc_prod(D,D),c_Product__Type_OPair(D,D,hAPP(F,B),hAPP(F,C)),E).
% 7.35/7.40  ** KEPT (pick-wt=18): 86 [] -c_Relation_Orefl__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),C)|c_member(A,D,B).
% 7.35/7.40  ** KEPT (pick-wt=18): 87 [] -c_Relation_Orefl__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),C)|c_member(A,E,B).
% 7.35/7.40  ** KEPT (pick-wt=18): 88 [] -c_Relation_Orefl__on(A,B,C)| -c_member(A,D,B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,D),C).
% 7.35/7.40  ** KEPT (pick-wt=12): 89 [] -c_Relation_Orefl__on(A,B,hAPP(c_Relation_Oconverse(A,A),C))|c_Relation_Orefl__on(A,B,C).
% 7.35/7.40  ** KEPT (pick-wt=12): 90 [] c_Relation_Orefl__on(A,B,hAPP(c_Relation_Oconverse(A,A),C))| -c_Relation_Orefl__on(A,B,C).
% 7.35/7.40  ** KEPT (pick-wt=12): 91 [] -c_Relation_Ototal__on(A,B,hAPP(c_Relation_Oconverse(A,A),C))|c_Relation_Ototal__on(A,B,C).
% 7.35/7.40  ** KEPT (pick-wt=12): 92 [] c_Relation_Ototal__on(A,B,hAPP(c_Relation_Oconverse(A,A),C))| -c_Relation_Ototal__on(A,B,C).
% 7.35/7.40  ** KEPT (pick-wt=21): 93 [] -c_member(A,B,c_Relation_ODomain(A,C,D))|c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,$f25(D,C,B,A)),D).
% 7.35/7.40    Following clause subsumed by 77 during input processing: 0 [] c_member(A,B,c_Relation_ODomain(A,C,D))| -c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,E),D).
% 7.35/7.40  ** KEPT (pick-wt=21): 94 [] -c_member(A,B,c_Relation_ODomain(A,C,D))|c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,$f26(D,C,B,A)),D).
% 7.35/7.40  ** KEPT (pick-wt=15): 95 [] c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(A,$f27(C,B,A),c_Wellfounded_Oacc(A,C)).
% 7.35/7.40  ** KEPT (pick-wt=15): 96 [] -c_member(A,$f28(B,C,A),c_Wellfounded_Oacc(A,B))|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.35/7.40  ** KEPT (pick-wt=24): 97 [] -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),c_Transitive__Closure_Ortrancl(A,C))|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 7.35/7.40    Following clause subsumed by 97 during input processing: 0 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(A,C,c_Wellfounded_Oacc(A,D))|c_member(A,B,c_Wellfounded_Oacc(A,D)).
% 7.35/7.40  ** KEPT (pick-wt=28): 99 [copy,98,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,$f29(F,E,D,C,B,A)),E)=hAPP(hAPP(D,F),E).
% 7.35/7.40  ** KEPT (pick-wt=36): 100 [] -c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,G,E),C)|c_Recdef_Owfrec__rel(A,B,C,D,G,hAPP($f29(F,E,D,C,B,A),G)).
% 7.35/7.40  ** KEPT (pick-wt=39): 101 [] c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,F),E)!=hAPP(hAPP(D,G),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f30(F,E,D,C,B,A,G),E),C).
% 7.35/7.40  ** KEPT (pick-wt=45): 102 [] 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,$f30(F,E,D,C,B,A,G),hAPP(G,$f30(F,E,D,C,B,A,G))).
% 7.35/7.40  ** KEPT (pick-wt=28): 103 [] -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,C),A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,B),A).
% 7.35/7.40  ** KEPT (pick-wt=31): 104 [] -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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,C),A)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,B),A).
% 7.35/7.40    Following clause subsumed by 103 during input processing: 0 [] -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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,C),A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,B),A).
% 7.35/7.40  ** KEPT (pick-wt=24): 105 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,B,C,G,H)|hAPP(D,hAPP(E,I))=hAPP(G,hAPP(H,I)).
% 7.35/7.40  ** KEPT (pick-wt=20): 106 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),c_Arrow__Order__Mirabelle_OLin)|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).
% 7.35/7.40  ** KEPT (pick-wt=20): 107 [] c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),hAPP(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A),c_Arrow__Order__Mirabelle_OLin)| -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).
% 7.35/7.40  ** KEPT (pick-wt=18): 108 [] -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)|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).
% 7.35/7.40  ** KEPT (pick-wt=18): 109 [] -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)|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).
% 7.35/7.40    Following clause subsumed by 105 during input processing: 0 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,B,C,G,H)|hAPP(D,hAPP(E,I))=hAPP(G,hAPP(H,I)).
% 7.35/7.40  ** KEPT (pick-wt=14): 110 [] -c_member(tc_prod(A,A),B,C)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Ortrancl(A,C)).
% 7.35/7.40  ** KEPT (pick-wt=22): 111 [] c_member(A,B,c_Relation_ODomain(A,A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,D),c_Transitive__Closure_Ortrancl(A,C))|B=D.
% 7.35/7.40  ** KEPT (pick-wt=22): 112 [] c_member(A,B,c_Relation_ODomain(A,A,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,D),c_Transitive__Closure_Ortrancl(A,C))|B!=D.
% 7.35/7.40  ** KEPT (pick-wt=27): 113 [] A=B| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.40  ** KEPT (pick-wt=37): 114 [] A=B| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C).
% 7.35/7.40  ** KEPT (pick-wt=43): 115 [] A=B| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C).
% 7.35/7.40  ** KEPT (pick-wt=40): 116 [] A=B| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.40  ** KEPT (pick-wt=43): 117 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.40  ** KEPT (pick-wt=36): 118 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.40  ** KEPT (pick-wt=43): 119 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.40  ** KEPT (pick-wt=43): 120 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C)|E!=B.
% 7.35/7.40  ** KEPT (pick-wt=50): 121 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.40  ** KEPT (pick-wt=40): 122 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)|D!=B.
% 7.35/7.40  ** KEPT (pick-wt=50): 123 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)|E=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.40  ** KEPT (pick-wt=43): 124 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)|D!=A|E!=B.
% 7.35/7.40  ** KEPT (pick-wt=50): 125 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)|D!=A| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=50): 126 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C)|E!=B.
% 7.35/7.41  ** KEPT (pick-wt=57): 127 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,A,E),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,A),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=27): 128 [] A=B| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.41  ** KEPT (pick-wt=37): 129 [] A=B| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C).
% 7.35/7.41  ** KEPT (pick-wt=43): 130 [] A=B| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C).
% 7.35/7.41  ** KEPT (pick-wt=40): 131 [] A=B| -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)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=43): 132 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=36): 133 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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.
% 7.35/7.41  ** KEPT (pick-wt=43): 134 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=43): 135 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C)|D!=A.
% 7.35/7.41  ** KEPT (pick-wt=50): 136 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=40): 137 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)|E!=A.
% 7.35/7.41  ** KEPT (pick-wt=50): 138 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)|D=A| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=43): 139 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)|E!=B|D!=A.
% 7.35/7.41  ** KEPT (pick-wt=50): 140 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)|E!=B| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=50): 141 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C)|D!=A.
% 7.35/7.41  ** KEPT (pick-wt=57): 142 [] A=B| -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)|c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,B),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,E),C)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,D,E),C).
% 7.35/7.41  ** KEPT (pick-wt=28): 143 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,hAPP(c_Relation_Oconverse(A,A),D))).
% 7.35/7.41  ** KEPT (pick-wt=28): 144 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,hAPP(c_Relation_Oconverse(A,A),D)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=34): 145 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=34): 146 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=22): 147 [] A=B| -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)|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).
% 7.35/7.41  ** KEPT (pick-wt=22): 148 [] A=B| -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)|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).
% 7.35/7.41  ** KEPT (pick-wt=36): 149 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=52): 150 [] -c_Relation_Osingle__valued(A,A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),c_Transitive__Closure_Ortrancl(A,B))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),c_Transitive__Closure_Ortrancl(A,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,E,D),c_Transitive__Closure_Ortrancl(A,B)).
% 7.35/7.41  ** KEPT (pick-wt=88): 151 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,C),D))|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,$f35(H,G,F,E,D,C,B,A),$f34(H,G,F,E,D,C,B,A))),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|hBOOL(hAPP(hAPP(H,E),F)).
% 7.35/7.41  ** KEPT (pick-wt=100): 152 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,C),D))|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,$f35(H,G,F,E,D,C,B,A),$f34(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,$f33(H,G,F,E,D,C,B,A),$f32(H,G,F,E,D,C,B,A))),G)|hBOOL(hAPP(hAPP(H,E),F)).
% 7.35/7.41  ** KEPT (pick-wt=64): 153 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,C),D))|hBOOL(hAPP(hAPP(H,$f35(H,G,F,E,D,C,B,A)),$f34(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,E),F)).
% 7.35/7.41  ** KEPT (pick-wt=64): 154 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,C),D))| -hBOOL(hAPP(hAPP(H,$f33(H,G,F,E,D,C,B,A)),$f32(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,E),F)).
% 7.35/7.41  ** KEPT (pick-wt=100): 155 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,E),F))|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,$f39(H,G,F,E,D,C,B,A),$f38(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,$f37(H,G,F,E,D,C,B,A),$f36(H,G,F,E,D,C,B,A))),G)|hBOOL(hAPP(hAPP(H,C),D)).
% 7.35/7.41  ** KEPT (pick-wt=88): 156 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,E),F))|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,$f37(H,G,F,E,D,C,B,A),$f36(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|hBOOL(hAPP(hAPP(H,C),D)).
% 7.35/7.41  ** KEPT (pick-wt=64): 157 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,E),F))|hBOOL(hAPP(hAPP(H,$f37(H,G,F,E,D,C,B,A)),$f36(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,C),D)).
% 7.35/7.41  ** KEPT (pick-wt=64): 158 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,E),F))| -hBOOL(hAPP(hAPP(H,$f39(H,G,F,E,D,C,B,A)),$f38(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,C),D)).
% 7.35/7.41  ** KEPT (pick-wt=81): 159 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|c_Product__Type_OPair(A,B,C,D)=c_Product__Type_OPair(A,B,E,F)|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,$f41(G,F,E,D,C,B,A),$f40(G,F,E,D,C,B,A))),G).
% 7.35/7.41  ** KEPT (pick-wt=85): 160 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|c_Product__Type_OPair(A,B,C,D)=c_Product__Type_OPair(A,B,E,F)|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,$f41(G,F,E,D,C,B,A),$f40(G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G)).
% 7.35/7.41  ** KEPT (pick-wt=32): 161 [] -c_Recdef_Owfrec__rel(A,B,C,D,$f42(E,D,B,C,F,A),hAPP(E,$f42(E,D,B,C,F,A)))|c_Recdef_Owfrec__rel(A,B,C,D,F,hAPP(hAPP(D,E),F)).
% 7.35/7.41  ** KEPT (pick-wt=20): 163 [copy,162,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)|hAPP(hAPP(D,$f43(F,E,D,C,B,A)),E)=F.
% 7.35/7.41  ** KEPT (pick-wt=32): 164 [] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,G,E),C)|c_Recdef_Owfrec__rel(A,B,C,D,G,hAPP($f43(F,E,D,C,B,A),G)).
% 7.35/7.41  ** KEPT (pick-wt=31): 165 [] c_Recdef_Owfrec__rel(A,B,C,D,E,F)|F!=hAPP(hAPP(D,G),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f44(F,E,D,C,B,A,G),E),C).
% 7.35/7.41  ** KEPT (pick-wt=37): 166 [] c_Recdef_Owfrec__rel(A,B,C,D,E,F)|F!=hAPP(hAPP(D,G),E)| -c_Recdef_Owfrec__rel(A,B,C,D,$f44(F,E,D,C,B,A,G),hAPP(G,$f44(F,E,D,C,B,A,G))).
% 7.35/7.41  ** KEPT (pick-wt=31): 167 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f45(D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=29): 168 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f45(D,C,B,A),C),D).
% 7.35/7.41  ** KEPT (pick-wt=27): 169 [] -c_Relation_Osingle__valued(A,B,C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,F),C)|E=F.
% 7.35/7.41  ** KEPT (pick-wt=13): 170 [] c_Relation_Osingle__valued(A,B,C)|$f47(C,B,A)!=$f46(C,B,A).
% 7.35/7.41    Following clause subsumed by 169 during input processing: 0 [] -c_Relation_Osingle__valued(A,B,C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,F),C)|E=F.
% 7.35/7.41  ** KEPT (pick-wt=13): 171 [] $f50(A,B,C)!=$f49(A,B,C)|c_Relation_Osingle__valued(C,B,A).
% 7.35/7.41  ** KEPT (pick-wt=37): 172 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f53(E,D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D))|hBOOL(hAPP(E,C)).
% 7.35/7.41  ** KEPT (pick-wt=40): 173 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f53(E,D,C,B,A),$f52(E,D,C,B,A)),D)|hBOOL(hAPP(E,C)).
% 7.35/7.41  ** KEPT (pick-wt=29): 174 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|hBOOL(hAPP(E,$f53(E,D,C,B,A)))|hBOOL(hAPP(E,C)).
% 7.35/7.41  ** KEPT (pick-wt=29): 175 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))| -hBOOL(hAPP(E,$f52(E,D,C,B,A)))|hBOOL(hAPP(E,C)).
% 7.35/7.41  ** KEPT (pick-wt=40): 176 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f55(E,D,C,B,A),$f54(E,D,C,B,A)),D)|hBOOL(hAPP(E,B)).
% 7.35/7.41  ** KEPT (pick-wt=37): 177 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f54(E,D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D))|hBOOL(hAPP(E,B)).
% 7.35/7.41  ** KEPT (pick-wt=29): 178 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|hBOOL(hAPP(E,$f54(E,D,C,B,A)))|hBOOL(hAPP(E,B)).
% 7.35/7.41  ** KEPT (pick-wt=29): 179 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))| -hBOOL(hAPP(E,$f55(E,D,C,B,A)))|hBOOL(hAPP(E,B)).
% 7.35/7.41  ** KEPT (pick-wt=29): 180 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f56(D,C,B,A)),D).
% 7.35/7.41  ** KEPT (pick-wt=31): 181 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f56(D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=24): 182 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=17): 183 [] c_Fun_Ocomp(A,B,C,D,E)!=F|hAPP(D,hAPP(E,G))=hAPP(F,G).
% 7.35/7.41  ** KEPT (pick-wt=22): 184 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|hAPP(c_Recdef_Ocut(A,E,F,D,C),B)=hAPP(F,B).
% 7.35/7.41  ** KEPT (pick-wt=22): 185 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=14): 186 [] -c_member(tc_prod(A,A),B,C)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Otrancl(A,C)).
% 7.35/7.41  ** KEPT (pick-wt=36): 187 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=34): 188 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=34): 189 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=32): 190 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=36): 191 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=36): 192 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=34): 193 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=27): 194 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=34): 195 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,E),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41    Following clause subsumed by 194 during input processing: 0 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=15): 196 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B!=C.
% 7.35/7.41    Following clause subsumed by 182 during input processing: 0 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=32): 197 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,hAPP(c_Relation_Oconverse(A,A),D)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),hAPP(c_Relation_Oconverse(A,A),c_Transitive__Closure_Otrancl(A,D))).
% 7.35/7.41  ** KEPT (pick-wt=32): 198 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),hAPP(c_Relation_Oconverse(A,A),c_Transitive__Closure_Otrancl(A,D)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,hAPP(c_Relation_Oconverse(A,A),D))).
% 7.35/7.41    Following clause subsumed by 184 during input processing: 0 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|hAPP(c_Recdef_Ocut(A,E,F,D,C),B)=hAPP(F,B).
% 7.35/7.41  ** KEPT (pick-wt=30): 199 [] c_Recdef_Ocut(A,B,C,D,E)!=c_Recdef_Ocut(A,B,F,D,E)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,G,E),D)|hAPP(C,G)=hAPP(F,G).
% 7.35/7.41  ** KEPT (pick-wt=32): 200 [] c_Recdef_Ocut(A,B,C,D,E)=c_Recdef_Ocut(A,B,F,D,E)|hAPP(C,$f57(F,E,D,C,B,A))!=hAPP(F,$f57(F,E,D,C,B,A)).
% 7.35/7.41  ** KEPT (pick-wt=26): 201 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f58(D,C,B,A)),D).
% 7.35/7.41  ** KEPT (pick-wt=28): 202 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f58(D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=28): 203 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f59(D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=26): 204 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f59(D,C,B,A),C),D).
% 7.35/7.41  ** KEPT (pick-wt=15): 205 [] -c_Wellfounded_Oacyclic(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),c_Transitive__Closure_Otrancl(A,B)).
% 7.35/7.41  ** KEPT (pick-wt=38): 206 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f61(D,C,B,A)),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.41  ** KEPT (pick-wt=36): 207 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f61(D,C,B,A),C),D).
% 7.35/7.41  ** KEPT (pick-wt=36): 208 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f62(D,C,B,A)),D).
% 7.35/7.42  ** KEPT (pick-wt=38): 209 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f62(D,C,B,A),C),c_Transitive__Closure_Otrancl(A,D)).
% 7.35/7.42  ** KEPT (pick-wt=33): 210 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f63(B,C,D,A),$f63(B,C,D,A)),c_Transitive__Closure_Otrancl(A,D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),D)|C!=B.
% 7.35/7.42  ** KEPT (pick-wt=10): 211 [] -c_Wellfounded_Oacyclic(A,hAPP(c_Relation_Oconverse(A,A),B))|c_Wellfounded_Oacyclic(A,B).
% 7.35/7.42  ** KEPT (pick-wt=10): 212 [] c_Wellfounded_Oacyclic(A,hAPP(c_Relation_Oconverse(A,A),B))| -c_Wellfounded_Oacyclic(A,B).
% 7.35/7.42  ** KEPT (pick-wt=15): 213 [] -c_Wellfounded_Oacyclic(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))|c_Wellfounded_Oacyclic(A,D).
% 7.35/7.42  ** KEPT (pick-wt=24): 214 [] -c_Wellfounded_Oacyclic(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.42  ** KEPT (pick-wt=27): 215 [] c_Wellfounded_Oacyclic(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))| -c_Wellfounded_Oacyclic(A,D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.42  ** KEPT (pick-wt=8): 216 [] -c_Wellfounded_Oacyclic(A,B)|c_Relation_Oantisym(A,c_Transitive__Closure_Ortrancl(A,B)).
% 7.35/7.42  ** KEPT (pick-wt=15): 217 [] -hBOOL(hAPP(A,$f65(B,C,A)))|hBOOL(hAPP(A,c_Product__Type_OPair(C,B,D,E))).
% 7.35/7.42  ** KEPT (pick-wt=18): 218 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Product__Type_OPair(C,D,$f67(D,C,A),$f66(D,C,A)))).
% 7.35/7.42  ** KEPT (pick-wt=11): 219 [] -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 7.35/7.42  ** KEPT (pick-wt=10): 220 [] A!=B|c_member(C,A,c_Set_Oinsert(C,B,D)).
% 7.35/7.42  ** KEPT (pick-wt=14): 221 [] -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 7.35/7.42  ** KEPT (pick-wt=14): 222 [] -hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))|B=D|hBOOL(hAPP(C,D)).
% 7.35/7.42  ** KEPT (pick-wt=10): 223 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))|B!=D.
% 7.35/7.42  ** KEPT (pick-wt=11): 224 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(C,D)).
% 7.35/7.42  ** KEPT (pick-wt=10): 225 [] -c_member(A,B,C)|c_Set_Oinsert(A,B,C)=C.
% 7.35/7.42    Following clause subsumed by 219 during input processing: 0 [] -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 7.35/7.42  ** KEPT (pick-wt=20): 226 [] c_member(A,B,C)|c_member(A,B,D)|c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,B,D)|C=D.
% 7.35/7.42  ** KEPT (pick-wt=20): 227 [] c_member(A,B,C)|c_member(A,B,D)|c_Set_Oinsert(A,B,C)=c_Set_Oinsert(A,B,D)|C!=D.
% 7.35/7.42    Following clause subsumed by 221 during input processing: 0 [] -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 7.35/7.42    Following clause subsumed by 220 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,D))|B!=C.
% 7.35/7.42    Following clause subsumed by 219 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,D))| -c_member(A,B,D).
% 7.35/7.42  ** KEPT (pick-wt=10): 228 [] -c_Relation_Oantisym(A,hAPP(c_Relation_Oconverse(A,A),B))|c_Relation_Oantisym(A,B).
% 7.35/7.42  ** KEPT (pick-wt=10): 229 [] c_Relation_Oantisym(A,hAPP(c_Relation_Oconverse(A,A),B))| -c_Relation_Oantisym(A,B).
% 7.35/7.42  ** KEPT (pick-wt=14): 230 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId(A))|B=C.
% 7.35/7.42  ** KEPT (pick-wt=14): 231 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId(A))|B!=C.
% 7.35/7.42  ** KEPT (pick-wt=26): 232 [] -c_Relation_Oantisym(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B)|C=D.
% 7.35/7.42    Following clause subsumed by 232 during input processing: 0 [] -c_Relation_Oantisym(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B)|C=D.
% 7.35/7.42  ** KEPT (pick-wt=10): 233 [] c_Relation_Oantisym(A,B)|$f69(B,A)!=$f68(B,A).
% 7.35/7.42  ** KEPT (pick-wt=14): 234 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 7.35/7.42  ** KEPT (pick-wt=14): 235 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 7.35/7.42    Following clause subsumed by 234 during input processing: 0 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 7.35/7.42    Following clause subsumed by 235 during input processing: 0 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 7.35/7.42  ** KEPT (pick-wt=17): 236 [] c_Product__Type_OPair(A,B,C,D)=c_Product__Type_OPair(A,B,E,F)|C!=E|D!=F.
% 7.35/7.42  ** KEPT (pick-wt=18): 238 [copy,237,flip.2] -c_member(tc_prod(A,A),B,c_Relation_OId(A))|c_Product__Type_OPair(A,A,$f70(B,A),$f70(B,A))=B.
% 7.35/7.42  ** KEPT (pick-wt=15): 239 [] -c_Wellfounded_Owf(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))|c_Wellfounded_Owf(A,D).
% 7.35/7.42  ** KEPT (pick-wt=24): 240 [] -c_Wellfounded_Owf(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.42  ** KEPT (pick-wt=27): 241 [] c_Wellfounded_Owf(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))| -c_Wellfounded_Owf(A,D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,B),c_Transitive__Closure_Ortrancl(A,D)).
% 7.35/7.42  ** KEPT (pick-wt=10): 242 [] $f72(A,B)!=$f71(A,B)|c_Relation_Oantisym(B,A).
% 7.35/7.42  ** KEPT (pick-wt=16): 243 [] -hBOOL(hAPP(A,c_Product__Type_OPair(B,C,D,E)))|hBOOL(c_Product__Type_Ocurry(B,C,tc_HOL_Obool,A,D,E)).
% 7.35/7.42  ** KEPT (pick-wt=11): 244 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(C,hAPP(c_Relation_Oinv__image(A,C,B),D)).
% 7.35/7.42  ** KEPT (pick-wt=15): 245 [] -c_Wellfounded_Owf(A,B)| -c_Wellfounded_Owf(C,D)|c_Wellfounded_Owf(tc_prod(A,C),c_Wellfounded_Olex__prod(A,C,B,D)).
% 7.35/7.42  ** KEPT (pick-wt=8): 246 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(A,c_Transitive__Closure_Otrancl(A,B)).
% 7.35/7.42  ** KEPT (pick-wt=6): 247 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Oacyclic(A,B).
% 7.35/7.42  ** KEPT (pick-wt=13): 248 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.35/7.42  ** KEPT (pick-wt=23): 249 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B).
% 7.35/7.42    Following clause subsumed by 249 during input processing: 0 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B).
% 7.35/7.42    Following clause subsumed by 248 during input processing: 0 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 7.35/7.42  ** KEPT (pick-wt=9): 250 [] -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.35/7.42  ** KEPT (pick-wt=11): 251 [] c_Wellfounded_Owf(A,B)| -c_member(A,$f73(B,A),c_Wellfounded_Oacc(A,B)).
% 7.35/7.42    Following clause subsumed by 250 during input processing: 0 [] -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 7.35/7.42  ** KEPT (pick-wt=16): 252 [] -c_Wellfounded_Owf(A,hAPP(c_Relation_Oconverse(A,A),B))|c_Wellfounded_Owf(A,hAPP(c_Relation_Oconverse(A,A),c_Transitive__Closure_Otrancl(A,B))).
% 7.35/7.42  ** KEPT (pick-wt=16): 253 [] -hBOOL(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C,D,E))|hBOOL(hAPP(C,c_Product__Type_OPair(A,B,D,E))).
% 7.35/7.42    Following clause subsumed by 253 during input processing: 0 [] -hBOOL(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C,D,E))|hBOOL(hAPP(C,c_Product__Type_OPair(A,B,D,E))).
% 7.35/7.42  ** KEPT (pick-wt=25): 255 [copy,254,flip.2] -c_Wellfounded_Owf(A,B)|hAPP(hAPP(C,c_Recdef_Ocut(A,D,c_Recdef_Owfrec(A,D,B,C),B,E)),E)=hAPP(c_Recdef_Owfrec(A,D,B,C),E).
% 7.35/7.42    Following clause subsumed by 255 during input processing: 0 [flip.2] -c_Wellfounded_Owf(A,B)|hAPP(hAPP(D,c_Recdef_Ocut(A,C,c_Recdef_Owfrec(A,C,B,D),B,E)),E)=hAPP(c_Recdef_Owfrec(A,C,B,D),E).
% 7.35/7.42  ** KEPT (pick-wt=24): 257 [copy,256,flip.3] A!=c_Recdef_Owfrec(B,C,D,E)| -c_Wellfounded_Owf(B,D)|hAPP(hAPP(E,c_Recdef_Ocut(B,C,A,D,F)),F)=hAPP(A,F).
% 7.35/7.42  ** KEPT (pick-wt=14): 258 [] -c_Wellfounded_Owf(A,B)| -c_member(A,C,D)|c_member(A,$f74(B,A,D),D).
% 7.35/7.42  ** KEPT (pick-wt=20): 260 [copy,259,factor_simp] -c_Wellfounded_Owf(A,B)| -c_member(A,C,D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,$f74(B,A,D)),B).
% 7.35/7.42  ** KEPT (pick-wt=22): 261 [] c_Wellfounded_Owf(A,B)| -c_member(A,C,$f77(B,A))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f76(B,A,C),C),B).
% 7.35/7.42  ** KEPT (pick-wt=18): 262 [] c_Wellfounded_Owf(A,B)| -c_member(A,C,$f77(B,A))|c_member(A,$f76(B,A,C),$f77(B,A)).
% 7.35/7.42  ** KEPT (pick-wt=18): 263 [] -c_Wellfounded_Owf(A,hAPP(B,$f78(C,B,A,D)))|c_Wellfounded_Owf(tc_prod(C,A),c_Recdef_Osame__fst(C,A,D,B)).
% 7.35/7.42  ** KEPT (pick-wt=9): 264 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_OwfP(A,c_FunDef_Oin__rel(A,A,B)).
% 7.35/7.42  ** KEPT (pick-wt=11): 265 [] -c_member(A,$f79(B,A),c_Wellfounded_Oacc(A,B))|c_Wellfounded_Owf(A,B).
% 7.35/7.42  ** KEPT (pick-wt=21): 266 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),hAPP(c_Wellfounded_Omeasure(A),D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(D,B),hAPP(D,C)).
% 7.35/7.42  ** KEPT (pick-wt=21): 267 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),hAPP(c_Wellfounded_Omeasure(A),D))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(D,B),hAPP(D,C)).
% 7.35/7.42  ** KEPT (pick-wt=14): 268 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,B),c_Wellfounded_Oless__than)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=14): 269 [] c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,B),c_Wellfounded_Oless__than)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=21): 270 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(A,B),hAPP(A,C))|c_member(tc_prod(D,D),c_Product__Type_OPair(D,D,B,C),c_Wellfounded_Omlex__prod(D,A,E)).
% 7.35/7.42  ** KEPT (pick-wt=15): 271 [] -c_Finite__Set_Ofinite(tc_prod(A,A),B)| -c_Wellfounded_Oacyclic(A,B)|c_Wellfounded_Owf(A,hAPP(c_Relation_Oconverse(A,A),B)).
% 7.35/7.42  ** KEPT (pick-wt=10): 272 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(tc_fun(A,tc_HOL_Obool),c_Wellfounded_Omin__ext(A,B)).
% 7.35/7.42  ** KEPT (pick-wt=11): 273 [] -c_Finite__Set_Ofinite(tc_prod(A,B),C)|c_Finite__Set_Ofinite(A,c_Relation_ODomain(A,B,C)).
% 7.35/7.42  ** KEPT (pick-wt=11): 274 [] -c_Finite__Set_Ofinite(tc_prod(A,B),C)|c_Finite__Set_Ofinite(B,c_Relation_ORange(A,B,C)).
% 7.35/7.42  ** KEPT (pick-wt=12): 275 [] -c_Finite__Set_Ofinite(tc_prod(A,A),c_Transitive__Closure_Otrancl(A,B))|c_Finite__Set_Ofinite(tc_prod(A,A),B).
% 7.35/7.42  ** KEPT (pick-wt=12): 276 [] c_Finite__Set_Ofinite(tc_prod(A,A),c_Transitive__Closure_Otrancl(A,B))| -c_Finite__Set_Ofinite(tc_prod(A,A),B).
% 7.35/7.42  ** KEPT (pick-wt=14): 277 [] -c_Finite__Set_Ofinite(tc_prod(A,B),hAPP(c_Relation_Oconverse(B,A),C))|c_Finite__Set_Ofinite(tc_prod(B,A),C).
% 7.35/7.42  ** KEPT (pick-wt=14): 278 [] c_Finite__Set_Ofinite(tc_prod(A,B),hAPP(c_Relation_Oconverse(B,A),C))| -c_Finite__Set_Ofinite(tc_prod(B,A),C).
% 7.35/7.42    Following clause subsumed by 247 during input processing: 0 [] -c_Finite__Set_Ofinite(tc_prod(A,A),B)| -c_Wellfounded_Owf(A,B)|c_Wellfounded_Oacyclic(A,B).
% 7.35/7.42  ** KEPT (pick-wt=11): 279 [] -c_Finite__Set_Ofinite(tc_prod(A,A),B)|c_Wellfounded_Owf(A,B)| -c_Wellfounded_Oacyclic(A,B).
% 7.35/7.42    Following clause subsumed by 279 during input processing: 0 [] -c_Finite__Set_Ofinite(tc_prod(A,A),B)| -c_Wellfounded_Oacyclic(A,B)|c_Wellfounded_Owf(A,B).
% 7.35/7.42  ** KEPT (pick-wt=16): 280 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,B),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=16): 281 [] c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,B),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=9): 282 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(A,c_Wellfounded_Omlex__prod(A,C,B)).
% 7.35/7.42  ** KEPT (pick-wt=4): 283 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 7.35/7.42  ** KEPT (pick-wt=7): 284 [] A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=7): 285 [] A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 7.35/7.42    Following clause subsumed by 283 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 7.35/7.42    Following clause subsumed by 285 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 7.35/7.42    Following clause subsumed by 284 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 7.35/7.42  ** KEPT (pick-wt=9): 286 [] -c_Finite__Set_Ofinite(A,B)|c_Finite__Set_Ofinite(A,c_Set_Oinsert(A,C,B)).
% 7.35/7.42  ** KEPT (pick-wt=6): 287 [] -c_Nitpick_Owf_H(A,B)|c_Wellfounded_Oacyclic(A,B).
% 7.35/7.42  ** KEPT (pick-wt=10): 288 [] -c_Nitpick_Owf_H(A,B)|c_Finite__Set_Ofinite(tc_prod(A,A),B)|c_Nitpick_Ounknown(tc_HOL_Obool).
% 7.35/7.42  ** KEPT (pick-wt=11): 289 [] c_Nitpick_Owf_H(A,B)| -c_Wellfounded_Oacyclic(A,B)| -c_Finite__Set_Ofinite(tc_prod(A,A),B).
% 7.35/7.42  ** KEPT (pick-wt=8): 290 [] c_Nitpick_Owf_H(A,B)| -c_Wellfounded_Oacyclic(A,B)| -c_Nitpick_Ounknown(tc_HOL_Obool).
% 7.35/7.42  ** KEPT (pick-wt=9): 291 [] -c_Finite__Set_Ofinite(A,c_Set_Oinsert(A,B,C))|c_Finite__Set_Ofinite(A,C).
% 7.35/7.42    Following clause subsumed by 286 during input processing: 0 [] c_Finite__Set_Ofinite(A,c_Set_Oinsert(A,B,C))| -c_Finite__Set_Ofinite(A,C).
% 7.35/7.42  ** KEPT (pick-wt=10): 292 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(tc_fun(A,tc_HOL_Obool),c_Wellfounded_Omax__ext(A,B)).
% 7.35/7.42  ** KEPT (pick-wt=5): 293 [] -class_Finite__Set_Ofinite(A)|c_Finite__Set_Ofinite(A,B).
% 7.35/7.42    Following clause subsumed by 293 during input processing: 0 [] -class_Finite__Set_Ofinite(A)|c_Finite__Set_Ofinite(A,B).
% 7.35/7.42  ** KEPT (pick-wt=25): 294 [] -c_Finite__Set_Ofolding__idem(A,B,C,D)| -c_Finite__Set_Ofinite(A,E)|hAPP(D,c_Set_Oinsert(A,F,E))=c_Fun_Ocomp(B,B,B,hAPP(D,E),hAPP(C,F)).
% 7.35/7.42  ** KEPT (pick-wt=26): 295 [] -c_Finite__Set_Ofolding__idem(A,B,C,D)| -c_Finite__Set_Ofinite(A,E)| -c_member(A,F,E)|c_Fun_Ocomp(B,B,B,hAPP(D,E),hAPP(C,F))=hAPP(D,E).
% 7.35/7.42  ** KEPT (pick-wt=29): 296 [] -c_Finite__Set_Ofolding(A,B,C,D)| -c_Finite__Set_Ofinite(A,E)|c_member(A,F,E)|hAPP(D,c_Set_Oinsert(A,F,E))=c_Fun_Ocomp(B,B,B,hAPP(D,E),hAPP(C,F)).
% 7.35/7.42  ** KEPT (pick-wt=30): 297 [] -c_Finite__Set_Ofolding__image__simple(A,B,C,D,E,F)| -c_Finite__Set_Ofinite(B,G)|c_member(B,H,G)|hAPP(F,c_Set_Oinsert(B,H,G))=hAPP(hAPP(C,hAPP(E,H)),hAPP(F,G)).
% 7.35/7.42  ** KEPT (pick-wt=28): 298 [] -c_Finite__Set_Ofolding(A,B,C,D)|c_Fun_Ocomp(E,F,G,H,c_Fun_Ocomp(I,E,G,J,K))=c_Fun_Ocomp(I,F,G,c_Fun_Ocomp(E,F,I,H,J),K).
% 7.35/7.42  ** KEPT (pick-wt=26): 299 [] -c_Finite__Set_Ofolding(A,B,C,D)|c_Fun_Ocomp(B,B,B,hAPP(C,E),hAPP(C,F))=c_Fun_Ocomp(B,B,B,hAPP(C,F),hAPP(C,E)).
% 7.35/7.42  ** KEPT (pick-wt=36): 300 [] -c_Finite__Set_Ofolding(A,B,C,D)|c_Fun_Ocomp(B,B,E,hAPP(C,F),c_Fun_Ocomp(B,B,E,hAPP(C,G),H))=c_Fun_Ocomp(B,B,E,hAPP(C,G),c_Fun_Ocomp(B,B,E,hAPP(C,F),H)).
% 7.35/7.42  ** KEPT (pick-wt=19): 301 [] -c_Finite__Set_Ofolding__idem(A,B,C,D)|c_Fun_Ocomp(B,B,B,hAPP(C,E),hAPP(C,E))=hAPP(C,E).
% 7.35/7.42  ** KEPT (pick-wt=29): 302 [] -c_Finite__Set_Ofolding__idem(A,B,C,D)|c_Fun_Ocomp(B,B,E,hAPP(C,F),c_Fun_Ocomp(B,B,E,hAPP(C,F),G))=c_Fun_Ocomp(B,B,E,hAPP(C,F),G).
% 7.35/7.42  ** KEPT (pick-wt=42): 303 [] -c_Finite__Set_Ofolding(A,B,C,D)| -c_Finite__Set_Ofinite(A,E)| -c_Finite__Set_Ofinite(A,F)|c_Fun_Ocomp(B,B,G,hAPP(D,F),c_Fun_Ocomp(B,B,G,hAPP(D,E),H))=c_Fun_Ocomp(B,B,G,hAPP(D,E),c_Fun_Ocomp(B,B,G,hAPP(D,F),H)).
% 7.35/7.42  ** KEPT (pick-wt=32): 304 [] -c_Finite__Set_Ofolding(A,B,C,D)| -c_Finite__Set_Ofinite(A,E)| -c_Finite__Set_Ofinite(A,F)|c_Fun_Ocomp(B,B,B,hAPP(D,F),hAPP(D,E))=c_Fun_Ocomp(B,B,B,hAPP(D,E),hAPP(D,F)).
% 7.35/7.42  ** KEPT (pick-wt=39): 305 [] -c_Finite__Set_Ofolding(A,B,C,D)| -c_Finite__Set_Ofinite(A,E)|c_Fun_Ocomp(B,B,F,hAPP(C,G),c_Fun_Ocomp(B,B,F,hAPP(D,E),H))=c_Fun_Ocomp(B,B,F,hAPP(D,E),c_Fun_Ocomp(B,B,F,hAPP(C,G),H)).
% 7.35/7.42  ** KEPT (pick-wt=29): 306 [] -c_Finite__Set_Ofolding(A,B,C,D)| -c_Finite__Set_Ofinite(A,E)|c_Fun_Ocomp(B,B,B,hAPP(C,F),hAPP(D,E))=c_Fun_Ocomp(B,B,B,hAPP(D,E),hAPP(C,F)).
% 7.35/7.42  ** KEPT (pick-wt=30): 307 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,C),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,B,D)),c_FunDef_Opair__le_q).
% 7.35/7.42  ** KEPT (pick-wt=26): 308 [] -c_Finite__Set_Ofolding__image__simple__idem(A,B,C,D,E,F)| -c_Finite__Set_Ofinite(B,G)|hAPP(F,c_Set_Oinsert(B,H,G))=hAPP(hAPP(C,hAPP(E,H)),hAPP(F,G)).
% 7.35/7.42  ** KEPT (pick-wt=27): 309 [] -c_Finite__Set_Ofolding__image__simple__idem(A,B,C,D,E,F)| -c_Finite__Set_Ofinite(B,G)| -c_member(B,H,G)|hAPP(hAPP(C,hAPP(E,H)),hAPP(F,G))=hAPP(F,G).
% 7.35/7.42  ** KEPT (pick-wt=30): 310 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,C),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,B,D)),c_FunDef_Opair__less).
% 7.35/7.42  ** KEPT (pick-wt=14): 311 [] -c_Finite__Set_Ofolding__image__simple__idem(A,B,C,D,E,F)|hAPP(hAPP(C,G),G)=G.
% 7.35/7.42  ** KEPT (pick-wt=81): 312 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),A,B)| -c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),C,A),c_FunDef_Opair__le_q)| -c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),D,B),c_FunDef_Omax__weak)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),C,D),B),c_FunDef_Omax__weak).
% 7.35/7.42  ** KEPT (pick-wt=81): 313 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),A,B)| -c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),A,C),c_FunDef_Opair__le_q)| -c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),B,D),c_FunDef_Omin__weak)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),B,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),C,D)),c_FunDef_Omin__weak).
% 7.35/7.42  ** KEPT (pick-wt=81): 314 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),A,B)| -c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),C,A),c_FunDef_Opair__less)| -c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),D,B),c_FunDef_Omax__strict)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),C,D),B),c_FunDef_Omax__strict).
% 7.35/7.42  ** KEPT (pick-wt=81): 315 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),A,B)| -c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),A,C),c_FunDef_Opair__less)| -c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),B,D),c_FunDef_Omin__strict)|c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),B,c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat),C,D)),c_FunDef_Omin__strict).
% 7.35/7.42  ** KEPT (pick-wt=34): 316 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D)|c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,C),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,B,D)),c_FunDef_Opair__less).
% 7.35/7.42  ** KEPT (pick-wt=34): 317 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D)|c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,C),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,B,D)),c_FunDef_Opair__le_q).
% 7.35/7.42  ** KEPT (pick-wt=8): 318 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=7): 319 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=11): 320 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 7.35/7.42    Following clause subsumed by 318 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 7.35/7.42    Following clause subsumed by 320 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 7.35/7.42    Following clause subsumed by 318 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 7.35/7.42    Following clause subsumed by 319 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|A!=B.
% 7.35/7.42    Following clause subsumed by 318 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 7.35/7.42    Following clause subsumed by 284 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 7.35/7.42    Following clause subsumed by 320 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|A=B.
% 7.35/7.42    Following clause subsumed by 319 during input processing: 0 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=12): 321 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C).
% 7.35/7.42  ** KEPT (pick-wt=11): 322 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,A)|A=B.
% 7.35/7.42    Following clause subsumed by 318 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=31): 323 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(A,B),hAPP(A,C))| -c_member(tc_prod(D,D),c_Product__Type_OPair(D,D,B,C),E)|c_member(tc_prod(D,D),c_Product__Type_OPair(D,D,B,C),c_Wellfounded_Omlex__prod(D,A,E)).
% 7.35/7.42  ** KEPT (pick-wt=16): 324 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,B),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=16): 325 [] c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,A,B),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 7.35/7.42  ** KEPT (pick-wt=6): 326 [] -class_Orderings_Opreorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,B).
% 7.35/7.42  ** KEPT (pick-wt=10): 327 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 7.35/7.42  ** KEPT (pick-wt=10): 328 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 7.35/7.42    Following clause subsumed by 327 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 7.35/7.42    Following clause subsumed by 328 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 7.35/7.42    Following clause subsumed by 327 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 7.35/7.42  ** KEPT (pick-wt=14): 329 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 7.35/7.42    Following clause subsumed by 329 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 7.35/7.42    Following clause subsumed by 329 during input processing: 0 [] -c_member(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D)|c_member(A,B,D).
% 7.35/7.42    Following clause subsumed by 329 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 7.35/7.42  ** KEPT (pick-wt=14): 330 [] -c_Wellfounded_Owf(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,B)|c_Wellfounded_Owf(A,C).
% 7.35/7.42  ** KEPT (pick-wt=15): 331 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,D,C)).
% 7.35/7.42  ** KEPT (pick-wt=18): 332 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,D,B),c_Set_Oinsert(A,D,C)).
% 7.35/7.42  ** KEPT (pick-wt=14): 333 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)| -c_Relation_Oantisym(A,C)|c_Relation_Oantisym(A,B).
% 7.35/7.42  ** KEPT (pick-wt=14): 334 [] -c_Wellfounded_Oacyclic(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,B)|c_Wellfounded_Oacyclic(A,C).
% 7.35/7.42  ** KEPT (pick-wt=16): 335 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,B),tc_HOL_Obool),C,D)| -c_Relation_Osingle__valued(A,B,D)|c_Relation_Osingle__valued(A,B,C).
% 7.35/7.42  ** KEPT (pick-wt=14): 336 [] -c_Wellfounded_OwfP(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_fun(A,tc_HOL_Obool)),C,B)|c_Wellfounded_OwfP(A,C).
% 7.35/7.42  ** KEPT (pick-wt=18): 337 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Wellfounded_Oacc(A,C),c_Wellfounded_Oacc(A,B)).
% 7.35/7.42  ** KEPT (pick-wt=20): 338 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,B),tc_HOL_Obool),C,D)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Relation_ODomain(A,B,C),c_Relation_ODomain(A,B,D)).
% 7.35/7.42  ** KEPT (pick-wt=20): 339 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,C)).
% 7.35/7.42  ** KEPT (pick-wt=25): 340 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Transitive__Closure_Ortrancl(A,B))|c_Transitive__Closure_Ortrancl(A,C)=c_Transitive__Closure_Ortrancl(A,B).
% 7.35/7.42  ** KEPT (pick-wt=22): 341 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Transitive__Closure_Ortrancl(A,C))|c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),c_Transitive__Closure_Ortrancl(A,B),c_Transitive__Closure_Ortrancl(A,C)).
% 7.35/7.42  ** KEPT (pick-wt=12): 342 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),B,C)| -c_Finite__Set_Ofinite(A,C)|c_Finite__Set_Ofinite(A,B).
% 7.35/7.42    Following clause subsumed by 342 during input processing: 0 [] -c_Finite__Set_Ofinite(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,B)|c_Finite__Set_Ofinite(A,C).
% 7.35/7.42  ** KEPT (pick-wt=14): 343 [] -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 7.35/7.42  ** KEPT (pick-wt=13): 344 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)|c_member(A,B,D).
% 7.35/7.42  ** KEPT (pick-wt=15): 345 [] -c_Orderings
% 7.41/7.42  Search stopped in tp_alloc by max_mem option.
% 7.41/7.42  _Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D).
% 7.41/7.42  ** KEPT (pick-wt=19): 346 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)| -c_member(A,B,D)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D).
% 7.41/7.42  ** KEPT (pick-wt=19): 347 [] c_member(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D).
% 7.41/7.42    Following clause subsumed by 331 during input processing: 0 [] c_member(A,B,C)|c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(A,tc_HOL_Obool),C,D).
% 7.41/7.42  ** KEPT (pick-wt=24): 348 [] -c_member(tc_prod(A,A),B,c_Transitive__Closure_Otrancl(A,C))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,D)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Otrancl(A,D)).
% 7.41/7.42  ** KEPT (pick-wt=29): 349 [] -c_Finite__Set_Ofolding__image__simple__idem(A,B,C,D,E,F)| -c_Finite__Set_Ofinite(B,G)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,tc_HOL_Obool),H,G)|hAPP(hAPP(C,hAPP(F,H)),hAPP(F,G))=hAPP(F,G).
% 7.41/7.42  
% 7.41/7.42  Search stopped in tp_alloc by max_mem option.
% 7.41/7.42  
% 7.41/7.42  ============ end of search ============
% 7.41/7.42  
% 7.41/7.42  -------------- statistics -------------
% 7.41/7.42  clauses given                  0
% 7.41/7.42  clauses generated              0
% 7.41/7.42  clauses kept                 337
% 7.41/7.42  clauses forward subsumed      52
% 7.41/7.42  clauses back subsumed          0
% 7.41/7.42  Kbytes malloced            11718
% 7.41/7.42  
% 7.41/7.42  ----------- times (seconds) -----------
% 7.41/7.42  user CPU time          0.13          (0 hr, 0 min, 0 sec)
% 7.41/7.42  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 7.41/7.42  wall-clock time        7             (0 hr, 0 min, 7 sec)
% 7.41/7.42  
% 7.41/7.42  Process 23506 finished Wed Jul 27 09:08:15 2022
% 7.41/7.42  Otter interrupted
% 7.41/7.42  PROOF NOT FOUND
%------------------------------------------------------------------------------