TSTP Solution File: SCT109+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SCT109+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n003.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 13:12:31 EDT 2022

% Result   : Unknown 6.76s 6.79s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SCT109+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Jul 27 09:03:41 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 6.68/6.74  ----- Otter 3.3f, August 2004 -----
% 6.68/6.74  The process was started by sandbox on n003.cluster.edu,
% 6.68/6.74  Wed Jul 27 09:03:41 2022
% 6.68/6.74  The command was "./otter".  The process ID is 13610.
% 6.68/6.74  
% 6.68/6.74  set(prolog_style_variables).
% 6.68/6.74  set(auto).
% 6.68/6.74     dependent: set(auto1).
% 6.68/6.74     dependent: set(process_input).
% 6.68/6.74     dependent: clear(print_kept).
% 6.68/6.74     dependent: clear(print_new_demod).
% 6.68/6.74     dependent: clear(print_back_demod).
% 6.68/6.74     dependent: clear(print_back_sub).
% 6.68/6.74     dependent: set(control_memory).
% 6.68/6.74     dependent: assign(max_mem, 12000).
% 6.68/6.74     dependent: assign(pick_given_ratio, 4).
% 6.68/6.74     dependent: assign(stats_level, 1).
% 6.68/6.74     dependent: assign(max_seconds, 10800).
% 6.68/6.74  clear(print_given).
% 6.68/6.74  
% 6.68/6.74  formula_list(usable).
% 6.68/6.74  all A (A=A).
% 6.68/6.74  all V_g_2 V_f_2 ((all B_x (hAPP(V_f_2,B_x)=hAPP(V_g_2,B_x)))->V_f_2=V_g_2).
% 6.68/6.74  all V_za_2 V_La_2 V_ya_2 V_xa_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_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_za_2))<->V_xa_2!=V_za_2& (V_ya_2=V_za_2->V_xa_2!=V_ya_2)& (V_ya_2!=V_za_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_xa_2,V_ya_2),V_La_2))).
% 6.68/6.74  all V_c_2 T_a V_B_2 V_A_2 (V_A_2=V_B_2-> ((c_member(T_a,V_c_2,V_A_2)-> -c_member(T_a,V_c_2,V_B_2))-> -(-c_member(T_a,V_c_2,V_A_2)->c_member(T_a,V_c_2,V_B_2)))).
% 6.68/6.74  all V_ya_2 V_xa_2 V_R_2 T_b T_a (hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_xa_2),V_ya_2))<->c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2),V_R_2)).
% 6.68/6.74  all T_a V_R_2 V_ya_2 V_y_H_2 T_b V_xa_2 V_P_2 (hBOOL(hAPP(V_P_2,V_xa_2))-> (c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_y_H_2,V_ya_2),hAPP(V_R_2,V_xa_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_y_H_2),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2)),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)))).
% 6.68/6.74  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))).
% 6.68/6.74  all T_b T_a V_P_2 ((all B_x1 hBOOL(hAPP(V_P_2,B_x1)))<-> (all B_a B_b hBOOL(hAPP(V_P_2,c_Product__Type_OPair(T_a,T_b,B_a,B_b))))).
% 6.68/6.74  all V_b_H_2 V_a_H_2 V_b_2 V_a_2 T_b T_a (c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)<->V_a_2=V_a_H_2&V_b_2=V_b_H_2).
% 6.68/6.74  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)).
% 6.68/6.74  all V_A_2 V_xa_2 T_a (c_member(T_a,V_xa_2,V_A_2)<->hBOOL(hAPP(V_A_2,V_xa_2))).
% 6.68/6.74  all V_A_2 T_a V_b_2 V_a_2 (V_a_2=V_b_2-> (c_member(T_a,V_b_2,V_A_2)->c_member(T_a,V_a_2,V_A_2))).
% 6.68/6.74  all V_A_2 T_a V_ya_2 V_xa_2 (V_xa_2=V_ya_2-> (c_member(T_a,V_xa_2,V_A_2)<->c_member(T_a,V_ya_2,V_A_2))).
% 6.68/6.74  all V_xa_2 T_a V_B_2 V_A_2 (V_A_2=V_B_2-> (c_member(T_a,V_xa_2,V_A_2)<->c_member(T_a,V_xa_2,V_B_2))).
% 6.68/6.74  all V_b_2 V_a_2 V_f1_2 T_a T_c T_b (c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2))=hAPP(hAPP(V_f1_2,V_a_2),V_b_2)).
% 6.68/6.74  all V_s_2 V_r_2 V_b_H_2 V_a_H_2 V_b_2 V_a_2 T_b T_a (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_a_2,V_b_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_a_2,V_a_H_2),V_r_2)|V_a_2=V_a_H_2&c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2)).
% 6.68/6.74  all V_b_2 V_a_2 V_La_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_La_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_a_2,V_b_2),V_La_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_b_2,V_a_2),V_La_2))).
% 6.68/6.74  all V_ya_2 V_xa_2 V_La_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_La_2,c_Arrow__Order__Mirabelle_OLin)-> (V_xa_2!=V_ya_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_xa_2,V_ya_2),V_La_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_ya_2,V_xa_2),V_La_2)))).
% 6.68/6.74  all V_b_2 V_a_2 V_c_2 T_a T_c T_b (c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_c_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2))=hAPP(hAPP(V_c_2,V_a_2),V_b_2)).
% 6.68/6.74  all V_a2_2 V_a1_2 V_F_2 V_R_2 T_b T_a (c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,hAPP(hAPP(V_F_2,V_a2_2),V_a1_2))<-> (exists B_g (hAPP(hAPP(V_F_2,V_a2_2),V_a1_2)=hAPP(hAPP(V_F_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_F_2,B_z,hAPP(B_g,B_z))))))).
% 6.68/6.74  all V_b_2 V_a_2 T_b T_a V_f_2 (hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)))->hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))).
% 6.68/6.74  all V_f_2 T_b V_r_2 V_a_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2)->hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2),V_xa_2)=hAPP(V_f_2,V_xa_2)).
% 6.68/6.74  all V_g_2 V_xa_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_xa_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_xa_2)<-> (all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_xa_2),V_r_2)->hAPP(V_f_2,B_y)=hAPP(V_g_2,B_y)))).
% 6.68/6.74  all T_b V_a_2 V_xa_2 T_a B_f B_R (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),B_R)->hAPP(c_Recdef_Ocut(T_a,T_b,B_f,B_R,V_a_2),V_xa_2)=hAPP(B_f,V_xa_2)).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (c_member(T_a,V_xa_2,c_fe_qual(V_ya_2))<->V_xa_2=V_ya_2).
% 6.68/6.74  all V_b_2 V_a_2 V_f_2 T_b T_a (hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))->hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)))).
% 6.68/6.74  all V_b_2 V_a_2 V_f_2 T_b T_a (hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))->hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)))).
% 6.68/6.74  all V_b_2 V_a_2 V_f_2 T_a T_c T_b (c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2,V_a_2,V_b_2)=hAPP(V_f_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2))).
% 6.68/6.74  all V_a2_2 V_a1_2 V_F_2 V_R_2 T_b T_a (c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,V_a2_2)<-> (exists B_g (V_a2_2=hAPP(hAPP(V_F_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_F_2,B_z,hAPP(B_g,B_z))))))).
% 6.68/6.74  all V_g_2 V_F_2 T_b V_R_2 V_xa_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_xa_2),V_R_2)->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,B_z,hAPP(V_g_2,B_z))))->c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_xa_2,hAPP(hAPP(V_F_2,V_g_2),V_xa_2))).
% 6.68/6.74  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).
% 6.68/6.74  all V_r_2 V_a_2 T_a (c_member(T_a,V_a_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_a_2),V_r_2)->c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2))))).
% 6.68/6.74  all V_a_2 V_r_2 V_b_2 T_a (c_member(T_a,V_b_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_a_2,V_b_2),V_r_2)->c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 6.68/6.74  all V_xa_2 V_F_2 V_R_2 T_a T_b (c_Nitpick_Owf__wfrec_H(T_b,T_a,V_R_2,V_F_2,V_xa_2)=hAPP(hAPP(V_F_2,c_Recdef_Ocut(T_b,T_a,c_Nitpick_Owf__wfrec(T_b,T_a,V_R_2,V_F_2),V_R_2,V_xa_2)),V_xa_2)).
% 6.68/6.74  all V_La_2 (c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_La_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_La_2,c_Arrow__Order__Mirabelle_OLin)).
% 6.68/6.74  all V_B_2 V_b_2 T_b V_A_2 V_a_2 T_a (c_member(T_a,V_a_2,V_A_2)-> (c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2))->c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)))).
% 6.68/6.74  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)))).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)->c_member(T_b,V_b_2,c_Relation_ORange(T_a,T_b,V_r_2))).
% 6.68/6.74  all V_r_2 T_a T_b (c_Relation_Oconverse(T_b,T_a,c_Relation_Oconverse(T_a,T_b,V_r_2))=V_r_2).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),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_b_2,V_a_2),V_r_2)).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_b_2,V_a_2),c_Relation_Oconverse(T_a,T_b,V_r_2))).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),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_b_2,V_a_2),V_r_2)).
% 6.68/6.74  all V_r_2 T_b V_a_2 T_a (c_member(T_a,V_a_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_a_2),V_r_2))).
% 6.68/6.74  all V_B_2 V_A_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))-> -(c_member(T_a,V_a_2,V_A_2)-> -c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2)))).
% 6.68/6.74  all V_B_2 V_A_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))->c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2))).
% 6.68/6.74  all V_B_2 V_A_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))->c_member(T_a,V_a_2,V_A_2)).
% 6.68/6.74  all V_B_2 V_A_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))<->c_member(T_a,V_a_2,V_A_2)&c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2))).
% 6.68/6.74  all V_r_2 T_b V_b_2 T_a (c_member(T_a,V_b_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_b_2),V_r_2)))).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_b T_a (c_member(tc_prod(T_a,T_b),V_c_2,c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))-> -(all B_x (c_member(T_a,B_x,V_A_2)-> (all B_y (c_member(T_b,B_y,hAPP(V_B_2,B_x))->V_c_2!=c_Product__Type_OPair(T_a,T_b,B_x,B_y)))))).
% 6.68/6.74  all V_r_2 V_xa_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_xa_2),V_r_2)->c_member(T_a,B_y,c_Wellfounded_Oacc(T_a,V_r_2))))->c_member(T_a,V_xa_2,c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.68/6.74  all V_R_2 V_xa_2 T_a (-c_member(T_a,V_xa_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_xa_2),V_R_2)->c_member(T_a,B_z,c_Wellfounded_Oacc(T_a,V_R_2))))).
% 6.68/6.74  all V_r_2 V_yx_2 T_b T_a (c_member(tc_prod(T_a,T_b),V_yx_2,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)))).
% 6.68/6.74  all V_A_2 T_a V_b_2 V_a_2 (V_a_2=V_b_2-> (c_member(T_a,V_a_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId__on(T_a,V_A_2)))).
% 6.68/6.74  all V_A_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Relation_OId__on(T_a,V_A_2))<->V_xa_2=V_ya_2&c_member(T_a,V_xa_2,V_A_2)).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_b T_a (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)->c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 6.68/6.74  all V_r_2 V_a_2 V_b_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))->c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 6.68/6.74  all V_b_2 V_r_2 V_a_2 T_a (c_member(T_a,V_a_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_b_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))->c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2)))).
% 6.68/6.74  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).
% 6.68/6.74  all V_A_2 T_a (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)).
% 6.68/6.74  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).
% 6.68/6.74  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,c_Relation_Oconverse(T_b,T_a,V_r_2))).
% 6.68/6.74  all V_r_2 T_b T_a (c_Relation_ODomain(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_r_2))=c_Relation_ORange(T_b,T_a,V_r_2)).
% 6.68/6.74  all V_r_2 T_a T_b (c_Relation_ORange(T_b,T_a,c_Relation_Oconverse(T_a,T_b,V_r_2))=c_Relation_ODomain(T_a,T_b,V_r_2)).
% 6.68/6.74  all V_r_2 T_b V_a_2 T_a (c_member(T_a,V_a_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_a_2,B_y),V_r_2))).
% 6.68/6.74  all V_r_2 V_a_2 T_a c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.74  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))).
% 6.68/6.74  all V_ya_2 V_R_2 V_xa_2 T_a (-c_member(T_a,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))<->V_xa_2=V_ya_2)).
% 6.68/6.74  all V_r_2 V_xa_2 V_ya_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ya_2,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))).
% 6.68/6.74  all V_r_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,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_ya_2,V_xa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_r_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))=c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 6.68/6.74  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)).
% 6.68/6.74  all V_A_2 V_c_2 T_a (c_member(tc_prod(T_a,T_a),V_c_2,c_Relation_OId__on(T_a,V_A_2))-> -(all B_x (c_member(T_a,B_x,V_A_2)->V_c_2!=c_Product__Type_OPair(T_a,T_a,B_x,B_x)))).
% 6.68/6.74  all V_r_2 T_b V_a_2 T_a (c_member(T_a,V_a_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_a_2,B_y),V_r_2)))).
% 6.68/6.74  all V_za_2 V_ya_2 V_xa_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_xa_2,V_ya_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_xa_2,V_za_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_ya_2,V_za_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_za_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))).
% 6.68/6.74  all V_P_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_P_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_P_2,B_a),B_b))->hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)))))))->hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))))).
% 6.68/6.74  all V_P_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_P_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_P_2,B_aa),B_ba))->hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))))))->hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))))).
% 6.68/6.74  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)))))).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (V_a_2!=V_b_2-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_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_b_2),V_r_2))))).
% 6.68/6.74  all V_r_2 V_za_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_za_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (V_xa_2!=V_za_2-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_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_za_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))).
% 6.68/6.74  all V_A_2 T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.74  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))))).
% 6.68/6.74  all V_za_2 V_ya_2 V_xa_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_xa_2,V_ya_2),V_r_2)-> (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_za_2),V_r_2)->V_ya_2=V_za_2))).
% 6.68/6.74  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)).
% 6.68/6.74  all V_P_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_P_2,V_a_2))-> ((all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,B_y),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (all B_z (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_P_2,B_y))->hBOOL(hAPP(V_P_2,B_z)))))))->hBOOL(hAPP(V_P_2,V_b_2))))).
% 6.68/6.74  all V_P_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_P_2,V_b_2))-> ((all B_y B_z (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_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))-> (hBOOL(hAPP(V_P_2,B_z))->hBOOL(hAPP(V_P_2,B_y))))))->hBOOL(hAPP(V_P_2,V_a_2))))).
% 6.68/6.74  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))))))).
% 6.68/6.74  all V_f_2 V_r_2 T_b V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_xa_2),hAPP(V_f_2,V_ya_2)),V_r_2)).
% 6.68/6.74  all V_a_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_a_2,V_A_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),V_r_2))).
% 6.68/6.74  all V_ya_2 V_xa_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_xa_2,V_ya_2),V_r_2)->c_member(T_a,V_xa_2,V_A_2))).
% 6.68/6.74  all V_ya_2 V_xa_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_xa_2,V_ya_2),V_r_2)->c_member(T_a,V_ya_2,V_A_2))).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Relation_Orefl__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))<->c_Relation_Orefl__on(T_a,V_A_2,V_r_2)).
% 6.68/6.74  all V_A_2 T_a c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.74  all V_f_2 V_R_2 T_b T_a (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,c_Relation_Oconverse(T_b,T_b,V_R_2)),V_f_2)).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Relation_Ototal__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))<->c_Relation_Ototal__on(T_a,V_A_2,V_r_2)).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 6.68/6.74  all V_a_2 T_a c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),c_Relation_OId(T_a)).
% 6.68/6.74  all V_b_2 V_a_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_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2)->V_a_2=V_b_2))).
% 6.68/6.74  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)))).
% 6.68/6.74  all V_r_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,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_xa_2,V_ya_2),c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_r_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),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_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2)))).
% 6.68/6.74  all V_za_2 V_r_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_ya_2,V_za_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_xa_2,V_za_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 6.68/6.74  all T_a c_Relation_Oantisym(T_a,c_Relation_OId(T_a)).
% 6.68/6.74  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))).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  all V_r_2 T_a (c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))=c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  all T_a (c_Relation_Oconverse(T_a,T_a,c_Relation_OId(T_a))=c_Relation_OId(T_a)).
% 6.68/6.74  all T_a c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 6.68/6.74  all V_r_2 T_a (c_Relation_Oantisym(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))<->c_Relation_Oantisym(T_a,V_r_2)).
% 6.68/6.74  all V_c_2 V_R_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_R_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_R_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_A_2 T_a c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.74  all V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId(T_a))<->V_a_2=V_b_2).
% 6.68/6.74  all V_R_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))<->V_xa_2=V_ya_2|V_xa_2!=V_ya_2&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_R_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))->V_a_2=V_b_2|V_a_2!=V_b_2&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))).
% 6.68/6.74  all V_c_2 V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_R_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_xa_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_ya_2),V_R_2)))).
% 6.68/6.74  all V_R_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_xa_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_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))))).
% 6.68/6.74  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)))).
% 6.68/6.74  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))))).
% 6.68/6.74  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)).
% 6.68/6.74  all V_ya_2 V_xa_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_xa_2,V_ya_2),V_r_2)->V_xa_2!=V_ya_2)).
% 6.68/6.74  all V_r_2 V_za_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_za_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_xa_2,V_za_2),V_r_2)-> -(all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_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_za_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))))).
% 6.68/6.74  all V_r_2 T_a (c_Wellfounded_Oacyclic(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))<->c_Wellfounded_Oacyclic(T_a,V_r_2)).
% 6.68/6.74  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))).
% 6.68/6.74  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)).
% 6.68/6.74  all V_r_2 V_xa_2 V_ya_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_ya_2,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_a_2,V_b_2),V_r_2)-> -(all B_c (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_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_b_2),V_r_2))))).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  all V_r_2 T_a c_Relation_Oirrefl(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 6.68/6.74  all V_xa_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_xa_2))-> (-hBOOL(hAPP(V_A_2,V_xa_2))->hBOOL(hAPP(V_B_2,V_xa_2)))).
% 6.68/6.74  all T_a V_A_2 V_xa_2 V_B_2 ((-hBOOL(hAPP(V_B_2,V_xa_2))->hBOOL(hAPP(V_A_2,V_xa_2)))->hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))).
% 6.68/6.74  all V_A_2 V_b_2 V_a_2 T_a (c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))-> (V_a_2!=V_b_2->c_member(T_a,V_a_2,V_A_2))).
% 6.68/6.74  all V_b_2 V_B_2 V_a_2 T_a ((-c_member(T_a,V_a_2,V_B_2)->V_a_2=V_b_2)->c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_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_c_2,V_A_2)->c_member(T_a,V_c_2,V_B_2))).
% 6.68/6.74  all V_A_2 V_B_2 V_c_2 T_a ((-c_member(T_a,V_c_2,V_B_2)->c_member(T_a,V_c_2,V_A_2))->c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,V_A_2)-> (-c_member(T_a,V_c_2,V_B_2)->c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))-> -(c_member(T_a,V_c_2,V_A_2)->c_member(T_a,V_c_2,V_B_2))).
% 6.68/6.74  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)))).
% 6.68/6.74  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).
% 6.68/6.74  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)).
% 6.68/6.74  all V_A_2 V_xa_2 T_a (c_Set_Oinsert(T_a,V_xa_2,c_Set_Oinsert(T_a,V_xa_2,V_A_2))=c_Set_Oinsert(T_a,V_xa_2,V_A_2)).
% 6.68/6.74  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_Groups_Ominus__class_Ominus(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)).
% 6.68/6.74  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)).
% 6.68/6.74  all V_A_2 V_ya_2 V_xa_2 T_a (c_Set_Oinsert(T_a,V_xa_2,c_Set_Oinsert(T_a,V_ya_2,V_A_2))=c_Set_Oinsert(T_a,V_ya_2,c_Set_Oinsert(T_a,V_xa_2,V_A_2))).
% 6.68/6.74  all V_B_2 V_a_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_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_B_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.74  all V_A_2 V_B_2 T_a (c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2),V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2)).
% 6.68/6.74  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_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_C_2 V_B_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(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),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2))).
% 6.68/6.74  all V_P_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_P_2,B_x))))<-> (exists B_x (c_member(T_a,B_x,V_A_2)&hBOOL(hAPP(V_P_2,B_x))))| (exists B_x (c_member(T_a,B_x,V_B_2)&hBOOL(hAPP(V_P_2,B_x))))).
% 6.68/6.74  all V_P_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_P_2,B_x))))<-> (all B_x (c_member(T_a,B_x,V_A_2)->hBOOL(hAPP(V_P_2,B_x))))& (all B_x (c_member(T_a,B_x,V_B_2)->hBOOL(hAPP(V_P_2,B_x))))).
% 6.68/6.74  all V_xa_2 V_A_2 V_ya_2 T_a (hBOOL(hAPP(c_Set_Oinsert(T_a,V_ya_2,V_A_2),V_xa_2))<->V_ya_2=V_xa_2|hBOOL(hAPP(V_A_2,V_xa_2))).
% 6.68/6.74  all V_A_2 V_B_2 V_xa_2 T_a ((c_member(T_a,V_xa_2,V_B_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))& (-c_member(T_a,V_xa_2,V_B_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)=c_Set_Oinsert(T_a,V_xa_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))).
% 6.68/6.74  all V_A_2 V_B_2 V_xa_2 T_a (c_member(T_a,V_xa_2,V_B_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.74  all V_B_2 T_a V_xa_2 V_A_2 (hBOOL(hAPP(V_A_2,V_xa_2))->hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))).
% 6.68/6.74  all V_A_2 T_a V_xa_2 V_B_2 (hBOOL(hAPP(V_B_2,V_xa_2))->hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_b T_a (c_Relation_ODomain(T_a,T_b,c_Set_Oinsert(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_a T_b (c_Relation_ORange(T_b,T_a,c_Set_Oinsert(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))<->c_member(T_a,V_c_2,V_A_2)& -c_member(T_a,V_c_2,V_B_2)).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))->c_member(T_a,V_c_2,V_A_2)).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))-> -c_member(T_a,V_c_2,V_B_2)).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_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_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2)).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,V_A_2)->c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.74  all V_A_2 V_B_2 V_c_2 T_a (c_member(T_a,V_c_2,V_B_2)->c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.74  all V_B_2 V_a_2 T_a c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 6.68/6.74  all V_A_2 V_b_2 V_a_2 T_a (c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))<->V_a_2=V_b_2|c_member(T_a,V_a_2,V_A_2)).
% 6.68/6.74  all V_B_2 V_A_2 V_xa_2 T_a (-c_member(T_a,V_xa_2,V_A_2)-> (-c_member(T_a,V_xa_2,V_B_2)-> (c_Set_Oinsert(T_a,V_xa_2,V_A_2)=c_Set_Oinsert(T_a,V_xa_2,V_B_2)<->V_A_2=V_B_2))).
% 6.68/6.74  all V_b_2 V_B_2 V_a_2 T_a (c_member(T_a,V_a_2,V_B_2)->c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 6.68/6.74  all V_A_2 V_a_2 T_a (c_member(T_a,V_a_2,V_A_2)->c_Set_Oinsert(T_a,V_a_2,V_A_2)=V_A_2).
% 6.68/6.74  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))).
% 6.68/6.74  all V_s_2 V_r_2 T_a T_b (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),c_Relation_Oconverse(T_b,T_a,V_r_2),c_Relation_Oconverse(T_b,T_a,V_s_2))).
% 6.68/6.74  all V_S_2 V_R_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),V_xa_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),V_xa_2,c_Transitive__Closure_Ortrancl(T_a,V_S_2))->c_member(tc_prod(T_a,T_a),V_xa_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)))).
% 6.68/6.74  all V_r_2 T_a (c_Transitive__Closure_Ortrancl(T_a,c_Groups_Ominus__class_Ominus(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)).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Relation_Ototal__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))<->c_Relation_Ototal__on(T_a,V_A_2,V_r_2)).
% 6.68/6.74  all V_xa_2 V_B_2 V_A_2 T_b T_a (class_Groups_Ominus(T_a)->hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_xa_2)=c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_xa_2),hAPP(V_B_2,V_xa_2))).
% 6.68/6.74  all V_xa_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_xa_2)=c_Lattices_Osemilattice__sup__class_Osup(T_a,hAPP(V_f_2,V_xa_2),hAPP(V_g_2,V_xa_2))).
% 6.68/6.74  all V_Q_2 V_P_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_P_2,V_Q_2)))-> ((all B_x (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2))-> (all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_x),V_Q_2)->B_y=B_x))))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))).
% 6.68/6.74  all V_Q_2 V_P_2 V_b_2 V_a_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_P_2,V_Q_2)))-> ((all B_x (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,B_x),c_Transitive__Closure_Ortrancl(T_a,V_P_2))-> (all B_y (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_Q_2)->B_x=B_y))))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))).
% 6.68/6.74  all V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)-> (c_Relation_Oantisym(T_a,V_r_2)->c_Relation_Otrans(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))))).
% 6.68/6.74  all V_r_2 V_xa_2 V_ya_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_ya_2,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))).
% 6.68/6.74  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))).
% 6.68/6.74  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)))).
% 6.68/6.74  all V_R2_2 T_b V_R1_2 T_a (c_Relation_Otrans(T_a,V_R1_2)-> (c_Relation_Otrans(T_b,V_R2_2)->c_Relation_Otrans(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_R1_2,V_R2_2)))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_Wellfounded_Oacyclic(T_a,V_r_2)).
% 6.68/6.74  all V_r_2 T_a c_Relation_Otrans(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.74  all V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)->c_Transitive__Closure_Otrancl(T_a,V_r_2)=V_r_2).
% 6.68/6.74  all V_r_2 T_a c_Relation_Otrans(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.74  all V_r_2 T_a (c_Relation_Otrans(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))<->c_Relation_Otrans(T_a,V_r_2)).
% 6.68/6.74  all T_a c_Relation_Otrans(T_a,c_Relation_OId(T_a)).
% 6.68/6.74  all V_A_2 T_a c_Relation_Otrans(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.74  all V_f_2 T_b V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)->c_Relation_Otrans(T_b,hAPP(c_Relation_Oinv__image(T_a,T_b,V_r_2),V_f_2))).
% 6.68/6.74  all V_a_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_a_2,V_a_2),V_r_2)).
% 6.68/6.74  all V_xa_2 V_a_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_a_2,V_xa_2),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2))).
% 6.68/6.74  all V_xa_2 V_a_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_a_2,V_xa_2),V_r_2)-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2))).
% 6.68/6.74  all V_a_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_a_2,V_a_2),V_r_2)).
% 6.68/6.74  all V_xa_2 V_r_2 T_a (c_Wellfounded_Owf(T_a,V_r_2)->c_member(T_a,V_xa_2,c_Wellfounded_Oacc(T_a,V_r_2))).
% 6.68/6.74  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)))).
% 6.68/6.74  all V_r_2 T_a (c_Wellfounded_Owf(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))->c_Wellfounded_Owf(T_a,c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)))).
% 6.68/6.74  all V_c_2 V_b_2 V_a_2 V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)-> (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),V_r_2)))).
% 6.68/6.74  all V_r_2 T_a (c_Relation_Otrans(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)-> (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)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2)))))).
% 6.68/6.74  all V_r_2 T_a (c_Relation_Otrans(T_a,V_r_2)->c_Relation_Otrans(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)))).
% 6.68/6.74  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).
% 6.68/6.74  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).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  all V_c V_a V_b T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_c))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_c))).
% 6.68/6.74  all V_z 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_y,V_z))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z))).
% 6.68/6.74  all V_z 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_y,V_z))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z))).
% 6.68/6.74  all V_c V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_c)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_c))).
% 6.68/6.74  all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),V_z)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z))).
% 6.68/6.74  all V_z V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),V_z)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z))).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)<->c_Relation_Otrans(T_a,V_r_2)&c_Relation_Oirrefl(T_a,V_r_2)&c_Relation_Ototal__on(T_a,V_A_2,V_r_2)).
% 6.68/6.74  all V_f_2 T_a c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)).
% 6.68/6.74  all V_a_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_a_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2)),V_a_2))).
% 6.68/6.74  all V_a_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_a_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_a_2)),V_a_2)).
% 6.68/6.74  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)))).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)->c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))).
% 6.68/6.74  all T_a V_R_2 T_b V_P_2 ((all B_x (hBOOL(hAPP(V_P_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_P_2,V_R_2))).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)<->c_Relation_Orefl__on(T_a,V_A_2,V_r_2)&c_Relation_Otrans(T_a,V_r_2)).
% 6.68/6.74  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)))))))).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Opreorder__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))<->c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Olinear__order__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))<->c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Owell__order__on(T_a,V_A_2,V_r_2)<->c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)&c_Wellfounded_Owf(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)<->c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)&c_Relation_Ototal__on(T_a,V_A_2,V_r_2)).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)<->c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)&c_Relation_Oantisym(T_a,V_r_2)).
% 6.68/6.74  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))).
% 6.68/6.74  all V_r_2 V_A_2 T_a (c_Order__Relation_Opartial__order__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))<->c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)).
% 6.68/6.74  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)).
% 6.68/6.74  all V_r_2 T_a (c_Relation_OField(T_a,V_r_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_a,V_r_2),c_Relation_ORange(T_a,T_a,V_r_2))).
% 6.68/6.74  all V_f_2 V_ya_2 V_xa_2 T_a (c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_xa_2),hAPP(V_f_2,V_ya_2))).
% 6.68/6.74  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)-> (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)->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2)))))->c_Relation_Otrans(T_a,V_r_2)).
% 6.68/6.74  all V_b V_a V_x T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_a)->c_Orderings_Oord__class_Oless(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)))).
% 6.68/6.74  all V_a V_b V_x T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_b)->c_Orderings_Oord__class_Oless(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)))).
% 6.68/6.74  all V_r_2 T_a (c_Relation_OField(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))=c_Relation_OField(T_a,V_r_2)).
% 6.68/6.74  all V_s_2 V_r_2 T_a (c_Relation_OField(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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a,V_r_2),c_Relation_OField(T_a,V_s_2))).
% 6.68/6.74  all V_R_2 T_a V_ya_2 V_xa_2 V_f_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_xa_2),hAPP(V_f_2,V_ya_2))->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))).
% 6.68/6.74  all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)<->c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2)))).
% 6.68/6.74  all V_r_2 V_b_2 V_a_2 T_a (c_Relation_OField(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OField(T_a,V_r_2))).
% 6.68/6.74  all T_a (c_Wellfounded_Omeasure(T_a)=c_Relation_Oinv__image(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than)).
% 6.68/6.74  all T_a c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 6.68/6.74  c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than).
% 6.68/6.74  c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than).
% 6.68/6.74  all V_a_2 T_a (-c_member(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 6.68/6.74  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)))).
% 6.68/6.74  all T_a (c_Relation_OField(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 6.68/6.74  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_member(T_a,V_c_2,V_A_2)->c_member(T_a,V_c_2,V_B_2))).
% 6.68/6.74  all T_a c_Order__Relation_Olinear__order__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))).
% 6.68/6.74  all T_a c_Order__Relation_Opreorder__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))).
% 6.68/6.74  all V_a_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_a_2,V_A_2)).
% 6.68/6.74  all V_c_2 T_a (-c_member(T_a,V_c_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_B_2 T_b T_a (c_Product__Type_OSigma(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 6.68/6.74  all V_A_2 T_a (c_Groups_Ominus__class_Ominus(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).
% 6.68/6.74  all V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),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))).
% 6.68/6.74  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))).
% 6.68/6.74  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).
% 6.68/6.74  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).
% 6.68/6.74  all V_b_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))=c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))->V_a_2=V_b_2).
% 6.68/6.74  all V_d_2 V_c_2 V_b_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_a_2=V_c_2&V_b_2=V_d_2|V_a_2=V_d_2&V_b_2=V_c_2).
% 6.68/6.74  all V_A_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 6.68/6.74  all V_A_2 V_a_2 T_a (c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_a_2,V_A_2)).
% 6.68/6.74  all T_a c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 6.68/6.74  all T_a c_Order__Relation_Opartial__order__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))).
% 6.68/6.74  all T_a c_Order__Relation_Owell__order__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))).
% 6.68/6.74  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).
% 6.68/6.74  all V_x T_a (class_Lattices_Obounded__lattice__bot(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Orderings_Obot__class_Obot(T_a),V_x)=V_x).
% 6.68/6.74  all V_x T_a (class_Lattices_Obounded__lattice__bot(T_a)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Orderings_Obot__class_Obot(T_a))=V_x).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Lattices_Obounded__lattice__bot(T_a)-> (c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2)=c_Orderings_Obot__class_Obot(T_a)<->V_xa_2=c_Orderings_Obot__class_Obot(T_a)&V_ya_2=c_Orderings_Obot__class_Obot(T_a))).
% 6.68/6.74  all V_a_2 V_b_2 T_a (c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_b_2=V_a_2).
% 6.68/6.74  all V_a_2 V_b_2 T_a (c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))->V_b_2=V_a_2).
% 6.68/6.74  all V_A_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)).
% 6.68/6.74  all V_B_2 V_a_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))).
% 6.68/6.74  all V_B_2 V_a_2 V_A_2 T_a (c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)).
% 6.68/6.74  all V_A_2 V_a_2 T_a (c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))=c_Set_Oinsert(T_a,V_a_2,V_A_2)).
% 6.68/6.74  all V_ya_2 V_xa_2 (c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_xa_2,V_ya_2),c_Wellfounded_Oless__than)<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_xa_2,V_ya_2)).
% 6.68/6.74  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)).
% 6.68/6.74  all V_A_2 V_a_2 T_a (c_member(T_a,V_a_2,V_A_2)->c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))=V_A_2).
% 6.68/6.74  all V_A_2 V_xa_2 T_a (-c_member(T_a,V_xa_2,V_A_2)->c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=V_A_2).
% 6.68/6.74  all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Groups_Oab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (V_a_2=V_b_2<->V_c_2=V_d_2))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_xa_2 T_a (c_Set_Othe__elem(T_a,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=V_xa_2).
% 6.68/6.74  all V_ya_2 V_za_2 V_f_2 T_b V_A_2 V_xa_2 T_a (c_member(T_a,V_xa_2,V_A_2)-> (c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_za_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_ya_2)->c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_za_2,V_A_2,hAPP(hAPP(V_f_2,V_xa_2),V_ya_2)))).
% 6.68/6.74  all V_xa_2 T_b T_a (class_Orderings_Obot(T_a)->hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_xa_2)=c_Orderings_Obot__class_Obot(T_a)).
% 6.68/6.74  all V_b_2 V_a_2 V_r_2 T_a (c_Relation_Orefl__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)-> (c_Relation_Oantisym(T_a,V_r_2)-> (c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))-> (c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_a_2=V_b_2))))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_R_2 T_a T_b (c_Relation_OImage(T_b,T_a,V_R_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 6.68/6.74  all V_A_2 T_a (c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a),V_A_2)=V_A_2).
% 6.68/6.74  all V_B_2 V_A_2 V_R_2 T_a T_b (c_Relation_OImage(T_b,T_a,V_R_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(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_OImage(T_b,T_a,V_R_2,V_A_2),c_Relation_OImage(T_b,T_a,V_R_2,V_B_2))).
% 6.68/6.74  all V_A_2 V_S_2 V_R_2 T_a T_b (c_Relation_OImage(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),V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_b,T_a,V_R_2,V_A_2),c_Relation_OImage(T_b,T_a,V_S_2,V_A_2))).
% 6.68/6.74  all V_za_2 V_f_2 T_b T_a c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_za_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_za_2).
% 6.68/6.74  all V_a2_2 V_a1_2 T_b T_a c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2).
% 6.68/6.74  all V_r_2 V_b_2 T_b V_A_2 V_a_2 T_a (c_member(T_a,V_a_2,V_A_2)-> (c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)->c_member(T_b,V_b_2,c_Relation_OImage(T_a,T_b,V_r_2,V_A_2)))).
% 6.68/6.74  all V_A_2 V_r_2 T_b V_b_2 T_a (c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))<-> (exists B_x (c_member(T_b,B_x,V_A_2)&c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2)))).
% 6.68/6.74  all V_x T_a (class_Orderings_Opreorder(T_a)-> -c_Orderings_Oord__class_Oless(T_a,V_x,V_x)).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (V_xa_2!=V_ya_2<->c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2))).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)|V_xa_2=V_ya_2)).
% 6.68/6.74  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)).
% 6.68/6.74  all V_xa_2 V_ya_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->V_xa_2=V_ya_2))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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))).
% 6.68/6.74  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)))).
% 6.68/6.74  all V_a_2 V_r_2 T_b V_b_2 T_a (c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))<->c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2)).
% 6.68/6.74  all V_b_2 V_a_2 V_r_2 T_a (c_Order__Relation_Opartial__order__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)-> (c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))-> (c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))<->V_a_2=V_b_2)))).
% 6.68/6.74  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)).
% 6.68/6.74  all V_b_2 V_a_2 V_r_2 T_a (c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)-> (c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))-> (c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))<->c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2))))).
% 6.68/6.74  all V_a5_2 V_a1_2 V_a2_2 V_a4_2 V_a3_2 T_b T_a (c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))<->V_a2_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))&hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=V_a4_2| (exists B_x B_y (hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=hAPP(hAPP(V_a3_2,B_x),B_y)&c_member(T_a,B_x,V_a2_2)&c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,B_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y)))).
% 6.68/6.74  all V_x T_a (class_Orderings_Opreorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x)).
% 6.68/6.74  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)).
% 6.68/6.74  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_member(T_a,V_c_2,V_A_2)->c_member(T_a,V_c_2,V_B_2))).
% 6.68/6.74  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).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2))).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2))).
% 6.68/6.74  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)).
% 6.68/6.74  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))).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)&V_xa_2!=V_ya_2)).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)& -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2))).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2)).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->V_xa_2=V_ya_2))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->V_xa_2=V_ya_2))).
% 6.68/6.74  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)).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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)).
% 6.68/6.74  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).
% 6.68/6.74  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).
% 6.68/6.74  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))).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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))).
% 6.68/6.74  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))))).
% 6.68/6.74  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)).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Orderings_Oorder(T_a)-> (V_xa_2=V_ya_2<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_xa_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_xa_2),hAPP(V_g_2,V_xa_2)))).
% 6.68/6.74  all V_xa_2 V_ya_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->V_xa_2=V_ya_2))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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)))).
% 6.68/6.74  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))).
% 6.68/6.74  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)))).
% 6.68/6.74  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))).
% 6.68/6.74  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)))).
% 6.68/6.74  all V_xa_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_xa_2),hAPP(V_g_2,V_xa_2)))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_A_2 V_A_H_2 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(T_a,tc_HOL_Obool),V_A_H_2,V_A_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),c_Relation_OImage(T_a,T_b,V_r_H_2,V_A_H_2),c_Relation_OImage(T_a,T_b,V_r_2,V_A_2)))).
% 6.68/6.74  all V_xa_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_xa_2,V_A_2)->c_member(T_a,V_xa_2,V_B_2))).
% 6.68/6.74  all V_B_2 V_A_2 V_xa_2 T_a (c_member(T_a,V_xa_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_xa_2,V_B_2))).
% 6.68/6.74  all V_xa_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_xa_2,V_A_2)->c_member(T_a,V_xa_2,V_B_2))).
% 6.68/6.74  all V_s_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a,V_r_2),c_Relation_OField(T_a,V_s_2))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_x V_b V_a T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_x)-> -(c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)-> -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)))).
% 6.68/6.74  all V_d V_b V_c V_a T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_d)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_c,V_d))))).
% 6.68/6.74  all V_z V_x V_y T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z),V_x)))).
% 6.68/6.74  all V_b V_x V_a T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_x)))).
% 6.68/6.74  all V_x V_y T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=V_x)).
% 6.68/6.74  all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=V_y)).
% 6.68/6.74  all V_a V_b V_x T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)))).
% 6.68/6.74  all V_b V_a V_x T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)))).
% 6.68/6.74  all V_za_2 V_ya_2 V_xa_2 T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2),V_za_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_za_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_za_2))).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Lattices_Osemilattice__sup(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2)=V_ya_2)).
% 6.68/6.74  all V_x V_y T_a (class_Lattices_Osemilattice__sup(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))).
% 6.68/6.74  all V_x V_y T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))).
% 6.68/6.74  all V_y V_x T_a (class_Lattices_Osemilattice__sup(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))).
% 6.68/6.74  all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y))).
% 6.68/6.74  all V_a_2 V_D_2 V_C_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2))).
% 6.68/6.74  all V_b_2 V_B_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_b_2,V_B_2))).
% 6.68/6.74  all V_a_2 V_B_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 6.68/6.74  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)))).
% 6.68/6.74  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))).
% 6.68/6.74  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).
% 6.68/6.74  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).
% 6.68/6.74  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).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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)).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  all V_Q_2 T_a V_xa_2 V_P_2 (hBOOL(hAPP(V_P_2,V_xa_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2,V_Q_2)->hBOOL(hAPP(V_Q_2,V_xa_2)))).
% 6.68/6.74  all V_xa_2 V_Q_2 V_P_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2,V_Q_2)-> (hBOOL(hAPP(V_P_2,V_xa_2))->hBOOL(hAPP(V_Q_2,V_xa_2)))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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))).
% 6.68/6.74  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_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))=V_A_2)).
% 6.68/6.74  all V_B_2 V_D_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_D_2,V_B_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)))).
% 6.68/6.74  all V_B_2 V_A_2 T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2).
% 6.68/6.74  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))).
% 6.68/6.74  all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2)))).
% 6.68/6.74  all V_B_2 V_A_2 V_xa_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)<->c_member(T_a,V_xa_2,V_B_2)&c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.74  all V_B_2 V_A_2 V_xa_2 T_a (-c_member(T_a,V_xa_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_xa_2,V_B_2))<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.74  all V_xa_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_xa_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_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 6.68/6.74  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),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)<->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_B_2,V_C_2))).
% 6.68/6.74  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,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))=V_B_2).
% 6.68/6.74  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)))).
% 6.68/6.74  all V_X_2 V_r_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_X_2),V_X_2)->c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2),V_X_2)=V_X_2).
% 6.68/6.74  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))).
% 6.68/6.74  all V_A_2 V_R_2 T_a (c_Wellfounded_Owf(T_a,V_R_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OImage(T_a,T_a,V_R_2,V_A_2))->V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 6.68/6.74  all V_B_2 V_A_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(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)),c_Relation_ODomain(T_a,T_b,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.74  all V_B_2 V_A_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(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)),c_Relation_ORange(T_b,T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.74  c_Wellfounded_Oless__than=c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat).
% 6.68/6.74  all V_B_2 V_xa_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_xa_2,V_B_2))<-> (c_member(T_a,V_xa_2,V_A_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2))& (-c_member(T_a,V_xa_2,V_A_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.74  all V_B_2 V_xa_2 V_A_2 T_a (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)-> (c_member(T_a,V_xa_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_xa_2,V_B_2)))).
% 6.68/6.74  c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat).
% 6.68/6.74  all V_B_2 V_xa_2 V_A_2 T_a (c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))<-> (c_member(T_a,V_xa_2,V_B_2)->c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))& (-c_member(T_a,V_xa_2,V_B_2)-> (c_member(T_a,V_xa_2,V_A_2)->c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2))& (-c_member(T_a,V_xa_2,V_A_2)->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))).
% 6.68/6.74  all V_B_2 V_A_2 V_r_2 T_a (c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))<-> (all B_x (c_member(T_a,B_x,V_A_2)-> (exists B_xa (c_member(T_a,B_xa,V_B_2)&c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,B_x),V_r_2))))))))).
% 6.68/6.74  all V_A_2 V_r_2 T_b V_b_2 T_a (c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))-> -(all B_x (c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2)-> -c_member(T_b,B_x,V_A_2)))).
% 6.68/6.74  all V_xa_2 V_r_2 T_a (c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Oconverse(T_a,T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))-> -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_xa_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 6.68/6.74  all V_xa_2 V_B_2 V_A_2 T_a (hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))-> -(hBOOL(hAPP(V_A_2,V_xa_2))-> -hBOOL(hAPP(V_B_2,V_xa_2)))).
% 6.68/6.74  all T_a V_B_2 V_xa_2 V_A_2 (hBOOL(hAPP(V_A_2,V_xa_2))-> (hBOOL(hAPP(V_B_2,V_xa_2))->hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)))).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))-> -(c_member(T_a,V_c_2,V_A_2)-> -c_member(T_a,V_c_2,V_B_2))).
% 6.68/6.74  all V_B_2 V_A_2 V_c_2 T_a (c_member(T_a,V_c_2,V_A_2)-> (c_member(T_a,V_c_2,V_B_2)->c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)))).
% 6.68/6.74  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)).
% 6.68/6.74  all V_B_2 V_A_2 V_R_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_b,T_a,V_R_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_b,T_a,V_R_2,V_A_2),c_Relation_OImage(T_b,T_a,V_R_2,V_B_2))).
% 6.68/6.74  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__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(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_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2)).
% 6.68/6.74  all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z)))).
% 6.68/6.74  all V_z V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)),c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z)))).
% 6.68/6.74  all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_x)).
% 6.68/6.74  all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_x)).
% 6.68/6.74  all V_y V_x T_a (class_Lattices_Olattice(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_y)).
% 6.68/6.74  all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_y)).
% 6.68/6.74  all V_ya_2 V_xa_2 T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_xa_2,V_ya_2)=V_xa_2)).
% 6.68/6.75  all V_za_2 V_ya_2 V_xa_2 T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_ya_2,V_za_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_za_2))).
% 6.68/6.75  all V_b V_x V_a T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x))).
% 6.68/6.75  all V_a V_x V_b T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x))).
% 6.68/6.75  all V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)=V_x)).
% 6.68/6.75  all V_x V_y T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)=V_y)).
% 6.68/6.75  all V_b V_a V_x T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b))))).
% 6.68/6.75  all V_z V_y V_x T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z))))).
% 6.68/6.75  all V_d V_b V_c V_a T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_d)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_c,V_d))))).
% 6.68/6.75  all V_b V_a V_x T_a (class_Lattices_Osemilattice__inf(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b))-> -(c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)-> -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)))).
% 6.68/6.75  all V_B_2 V_A_2 T_b T_a c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2))).
% 6.68/6.75  class_Lattices_Obounded__lattice(tc_HOL_Obool).
% 6.68/6.75  all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Lattices_Obounded__lattice(T_1)->class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Orderings_Opreorder(T_1)->class_Orderings_Opreorder(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Lattices_Olattice(T_1)->class_Lattices_Olattice(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Orderings_Oorder(T_1)->class_Orderings_Oorder(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Orderings_Oord(T_1)->class_Orderings_Oord(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Orderings_Obot(T_1)->class_Orderings_Obot(tc_fun(T_2,T_1))).
% 6.68/6.75  all T_2 T_1 (class_Groups_Ominus(T_1)->class_Groups_Ominus(tc_fun(T_2,T_1))).
% 6.68/6.75  class_Lattices_Osemilattice__sup(tc_Nat_Onat).
% 6.68/6.75  class_Lattices_Osemilattice__inf(tc_Nat_Onat).
% 6.68/6.75  class_Orderings_Opreorder(tc_Nat_Onat).
% 6.68/6.75  class_Orderings_Olinorder(tc_Nat_Onat).
% 6.68/6.75  class_Lattices_Olattice(tc_Nat_Onat).
% 6.68/6.75  class_Orderings_Oorder(tc_Nat_Onat).
% 6.68/6.75  class_Orderings_Oord(tc_Nat_Onat).
% 6.68/6.75  class_Orderings_Obot(tc_Nat_Onat).
% 6.68/6.75  class_Groups_Ominus(tc_Nat_Onat).
% 6.68/6.75  class_Lattices_Obounded__lattice__bot(tc_HOL_Obool).
% 6.68/6.75  class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 6.68/6.75  class_Lattices_Osemilattice__inf(tc_HOL_Obool).
% 6.68/6.75  class_Orderings_Opreorder(tc_HOL_Obool).
% 6.68/6.75  class_Lattices_Olattice(tc_HOL_Obool).
% 6.68/6.75  class_Orderings_Oorder(tc_HOL_Obool).
% 6.68/6.75  class_Orderings_Oord(tc_HOL_Obool).
% 6.68/6.75  class_Orderings_Obot(tc_HOL_Obool).
% 6.68/6.75  class_Groups_Ominus(tc_HOL_Obool).
% 6.68/6.75  all V_y_2 V_x_2 (-hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2).
% 6.68/6.75  all V_y_2 V_x_2 (V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))).
% 6.68/6.75  -(c_member(tc_prod(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,v_y),c_Arrow__Order__Mirabelle_Omkbot(v_L,v_z))<->v_y!=v_z& (v_x=v_z->v_x!=v_y)& (v_x!=v_z->c_member(tc_prod(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,v_y),v_L))).
% 6.68/6.75  end_of_list.
% 6.68/6.75  
% 6.68/6.75  -------> usable clausifies to:
% 6.68/6.75  
% 6.68/6.75  list(usable).
% 6.68/6.75  0 [] A=A.
% 6.68/6.75  0 [] hAPP(V_f_2,$f1(V_g_2,V_f_2))!=hAPP(V_g_2,$f1(V_g_2,V_f_2))|V_f_2=V_g_2.
% 6.68/6.75  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_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_za_2))|V_xa_2!=V_za_2.
% 6.68/6.75  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_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_za_2))|V_ya_2!=V_za_2|V_xa_2!=V_ya_2.
% 6.68/6.75  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_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_za_2))|V_ya_2=V_za_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_xa_2,V_ya_2),V_La_2).
% 6.68/6.75  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_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_za_2))|V_xa_2=V_za_2|V_ya_2=V_za_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_xa_2,V_ya_2),V_La_2).
% 6.68/6.75  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_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_za_2))|V_xa_2=V_za_2|V_xa_2=V_ya_2|V_ya_2!=V_za_2.
% 6.68/6.75  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_xa_2,V_ya_2),c_Arrow__Order__Mirabelle_Omktop(V_La_2,V_za_2))|V_xa_2=V_za_2|V_xa_2=V_ya_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_xa_2,V_ya_2),V_La_2).
% 6.68/6.75  0 [] V_A_2!=V_B_2|c_member(T_a,V_c_2,V_A_2)| -c_member(T_a,V_c_2,V_B_2).
% 6.68/6.75  0 [] V_A_2!=V_B_2|c_member(T_a,V_c_2,V_B_2)| -c_member(T_a,V_c_2,V_A_2).
% 6.68/6.75  0 [] -hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_xa_2),V_ya_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2),V_R_2).
% 6.68/6.75  0 [] hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_xa_2),V_ya_2))| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2),V_R_2).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_P_2,V_xa_2))| -c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_y_H_2,V_ya_2),hAPP(V_R_2,V_xa_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_y_H_2),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_ya_2)),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)).
% 6.68/6.75  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).
% 6.68/6.75  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).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_P_2,$f3(T_b,T_a,V_P_2)))|hBOOL(hAPP(V_P_2,c_Product__Type_OPair(T_a,T_b,B_a,B_b))).
% 6.68/6.75  0 [] hBOOL(hAPP(V_P_2,B_x1))| -hBOOL(hAPP(V_P_2,c_Product__Type_OPair(T_a,T_b,$f5(T_b,T_a,V_P_2),$f4(T_b,T_a,V_P_2)))).
% 6.68/6.75  0 [] c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)!=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_a_2=V_a_H_2.
% 6.68/6.75  0 [] c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)!=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_b_2=V_b_H_2.
% 6.68/6.75  0 [] c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)=c_Product__Type_OPair(T_a,T_b,V_a_H_2,V_b_H_2)|V_a_2!=V_a_H_2|V_b_2!=V_b_H_2.
% 6.68/6.75  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.
% 6.68/6.75  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.
% 6.68/6.75  0 [] -c_member(T_a,V_xa_2,V_A_2)|hBOOL(hAPP(V_A_2,V_xa_2)).
% 6.68/6.75  0 [] c_member(T_a,V_xa_2,V_A_2)| -hBOOL(hAPP(V_A_2,V_xa_2)).
% 6.68/6.75  0 [] V_a_2!=V_b_2| -c_member(T_a,V_b_2,V_A_2)|c_member(T_a,V_a_2,V_A_2).
% 6.68/6.75  0 [] V_xa_2!=V_ya_2| -c_member(T_a,V_xa_2,V_A_2)|c_member(T_a,V_ya_2,V_A_2).
% 6.68/6.75  0 [] V_xa_2!=V_ya_2|c_member(T_a,V_xa_2,V_A_2)| -c_member(T_a,V_ya_2,V_A_2).
% 6.68/6.75  0 [] V_A_2!=V_B_2| -c_member(T_a,V_xa_2,V_A_2)|c_member(T_a,V_xa_2,V_B_2).
% 6.68/6.75  0 [] V_A_2!=V_B_2|c_member(T_a,V_xa_2,V_A_2)| -c_member(T_a,V_xa_2,V_B_2).
% 6.68/6.75  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_a_2,V_b_2))=hAPP(hAPP(V_f1_2,V_a_2),V_b_2).
% 6.68/6.75  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_a_2,V_b_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_a_2,V_a_H_2),V_r_2)|V_a_2=V_a_H_2.
% 6.68/6.75  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_a_2,V_b_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_a_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_b_2,V_b_H_2),V_s_2).
% 6.68/6.75  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_a_2,V_b_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_a_2,V_a_H_2),V_r_2).
% 6.68/6.75  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_a_2,V_b_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_a_2!=V_a_H_2| -c_member(tc_prod(T_b,T_b),c_Product__Type_OPair(T_b,T_b,V_b_2,V_b_H_2),V_s_2).
% 6.68/6.75  0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_La_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_a_2,V_b_2),V_La_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_b_2,V_a_2),V_La_2).
% 6.68/6.75  0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_La_2,c_Arrow__Order__Mirabelle_OLin)|V_xa_2=V_ya_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_xa_2,V_ya_2),V_La_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_ya_2,V_xa_2),V_La_2).
% 6.68/6.75  0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),V_La_2,c_Arrow__Order__Mirabelle_OLin)|V_xa_2=V_ya_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_xa_2,V_ya_2),V_La_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_ya_2,V_xa_2),V_La_2).
% 6.68/6.75  0 [] c_Product__Type_Ointernal__split(T_b,T_c,T_a,V_c_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2))=hAPP(hAPP(V_c_2,V_a_2),V_b_2).
% 6.68/6.75  0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,hAPP(hAPP(V_F_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_F_2,V_a2_2),V_a1_2)=hAPP(hAPP(V_F_2,$f6(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a)),V_a1_2).
% 6.68/6.75  0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,hAPP(hAPP(V_F_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_F_2,B_z,hAPP($f6(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a),B_z)).
% 6.68/6.75  0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,hAPP(hAPP(V_F_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_F_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_F_2,B_g),V_a1_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f7(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a,B_g),V_a1_2),V_R_2).
% 6.68/6.75  0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,hAPP(hAPP(V_F_2,V_a2_2),V_a1_2))|hAPP(hAPP(V_F_2,V_a2_2),V_a1_2)!=hAPP(hAPP(V_F_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,$f7(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f7(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a,B_g))).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2)))|hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2)|hAPP(c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2),V_xa_2)=hAPP(V_f_2,V_xa_2).
% 6.68/6.75  0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_xa_2)!=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_xa_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,V_xa_2),V_r_2)|hAPP(V_f_2,B_y)=hAPP(V_g_2,B_y).
% 6.68/6.75  0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_xa_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_xa_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f8(V_g_2,V_xa_2,V_r_2,V_f_2,T_b,T_a),V_xa_2),V_r_2).
% 6.68/6.75  0 [] c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_xa_2)=c_Recdef_Ocut(T_a,T_b,V_g_2,V_r_2,V_xa_2)|hAPP(V_f_2,$f8(V_g_2,V_xa_2,V_r_2,V_f_2,T_b,T_a))!=hAPP(V_g_2,$f8(V_g_2,V_xa_2,V_r_2,V_f_2,T_b,T_a)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),B_R)|hAPP(c_Recdef_Ocut(T_a,T_b,B_f,B_R,V_a_2),V_xa_2)=hAPP(B_f,V_xa_2).
% 6.68/6.75  0 [] -c_member(T_a,V_xa_2,c_fe_qual(V_ya_2))|V_xa_2=V_ya_2.
% 6.68/6.75  0 [] c_member(T_a,V_xa_2,c_fe_qual(V_ya_2))|V_xa_2!=V_ya_2.
% 6.68/6.75  0 [] -hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))|hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2))).
% 6.68/6.75  0 [] -hBOOL(c_Product__Type_Ocurry(T_a,T_b,tc_HOL_Obool,V_f_2,V_a_2,V_b_2))|hBOOL(hAPP(V_f_2,c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2))).
% 6.68/6.75  0 [] c_Product__Type_Ocurry(T_b,T_c,T_a,V_f_2,V_a_2,V_b_2)=hAPP(V_f_2,c_Product__Type_OPair(T_b,T_c,V_a_2,V_b_2)).
% 6.68/6.75  0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,V_a2_2)|V_a2_2=hAPP(hAPP(V_F_2,$f9(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a)),V_a1_2).
% 6.68/6.75  0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_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_F_2,B_z,hAPP($f9(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a),B_z)).
% 6.68/6.75  0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,V_a2_2)|V_a2_2!=hAPP(hAPP(V_F_2,B_g),V_a1_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f10(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a,B_g),V_a1_2),V_R_2).
% 6.68/6.75  0 [] c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_a1_2,V_a2_2)|V_a2_2!=hAPP(hAPP(V_F_2,B_g),V_a1_2)| -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,$f10(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a,B_g),hAPP(B_g,$f10(V_a2_2,V_a1_2,V_F_2,V_R_2,T_b,T_a,B_g))).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f11(V_g_2,V_F_2,T_b,V_R_2,V_xa_2,T_a),V_xa_2),V_R_2)|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_xa_2,hAPP(hAPP(V_F_2,V_g_2),V_xa_2)).
% 6.68/6.75  0 [] -c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,$f11(V_g_2,V_F_2,T_b,V_R_2,V_xa_2,T_a),hAPP(V_g_2,$f11(V_g_2,V_F_2,T_b,V_R_2,V_xa_2,T_a)))|c_Recdef_Owfrec__rel(T_a,T_b,V_R_2,V_F_2,V_xa_2,hAPP(hAPP(V_F_2,V_g_2),V_xa_2)).
% 6.68/6.75  0 [] c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),$c1,c_Arrow__Order__Mirabelle_OLin).
% 6.68/6.75  0 [] -c_member(T_a,V_a_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_a_2),V_r_2)|c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.75  0 [] c_member(T_a,V_a_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,$f12(V_r_2,V_a_2,T_a),V_a_2),V_r_2).
% 6.68/6.75  0 [] c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))| -c_member(T_a,$f12(V_r_2,V_a_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_b_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_a_2,V_b_2),V_r_2)|c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.75  0 [] c_Nitpick_Owf__wfrec_H(T_b,T_a,V_R_2,V_F_2,V_xa_2)=hAPP(hAPP(V_F_2,c_Recdef_Ocut(T_b,T_a,c_Nitpick_Owf__wfrec(T_b,T_a,V_R_2,V_F_2),V_R_2,V_xa_2)),V_xa_2).
% 6.68/6.75  0 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_La_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_La_2,c_Arrow__Order__Mirabelle_OLin).
% 6.68/6.75  0 [] c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,V_La_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_La_2,c_Arrow__Order__Mirabelle_OLin).
% 6.68/6.75  0 [] -c_member(T_a,V_a_2,V_A_2)| -c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2)).
% 6.68/6.75  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).
% 6.68/6.75  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,$f13(V_r_2,T_a),$f13(V_r_2,T_a)),V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(T_b,V_b_2,c_Relation_ORange(T_a,T_b,V_r_2)).
% 6.68/6.75  0 [] c_Relation_Oconverse(T_b,T_a,c_Relation_Oconverse(T_a,T_b,V_r_2))=V_r_2.
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),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_b_2,V_a_2),V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_b_2,V_a_2),c_Relation_Oconverse(T_a,T_b,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),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_b_2,V_a_2),V_r_2).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),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_b_2,V_a_2),V_r_2).
% 6.68/6.75  0 [] -c_member(T_a,V_a_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,$f14(V_r_2,T_b,V_a_2,T_a),V_a_2),V_r_2).
% 6.68/6.75  0 [] c_member(T_a,V_a_2,c_Relation_ORange(T_b,T_a,V_r_2))| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_y,V_a_2),V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_a,V_a_2,V_A_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_a,V_a_2,V_A_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_a,V_a_2,V_A_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2)).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))| -c_member(T_a,V_a_2,V_A_2)| -c_member(T_b,V_b_2,hAPP(V_B_2,V_a_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f15(V_r_2,T_b,V_b_2,T_a),V_b_2),V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),V_c_2,c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_a,$f17(V_B_2,V_A_2,V_c_2,T_b,T_a),V_A_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),V_c_2,c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|c_member(T_b,$f16(V_B_2,V_A_2,V_c_2,T_b,T_a),hAPP(V_B_2,$f17(V_B_2,V_A_2,V_c_2,T_b,T_a))).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),V_c_2,c_Product__Type_OSigma(T_a,T_b,V_A_2,V_B_2))|V_c_2=c_Product__Type_OPair(T_a,T_b,$f17(V_B_2,V_A_2,V_c_2,T_b,T_a),$f16(V_B_2,V_A_2,V_c_2,T_b,T_a)).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f18(V_r_2,V_xa_2,T_a),V_xa_2),V_r_2)|c_member(T_a,V_xa_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(T_a,$f18(V_r_2,V_xa_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2))|c_member(T_a,V_xa_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.75  0 [] c_member(T_a,V_xa_2,c_Wellfounded_Oacc(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f19(V_R_2,V_xa_2,T_a),V_xa_2),V_R_2).
% 6.68/6.75  0 [] c_member(T_a,V_xa_2,c_Wellfounded_Oacc(T_a,V_R_2))| -c_member(T_a,$f19(V_R_2,V_xa_2,T_a),c_Wellfounded_Oacc(T_a,V_R_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),V_yx_2,c_Relation_Oconverse(T_b,T_a,V_r_2))|V_yx_2=c_Product__Type_OPair(T_a,T_b,$f20(V_r_2,V_yx_2,T_b,T_a),$f21(V_r_2,V_yx_2,T_b,T_a)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),V_yx_2,c_Relation_Oconverse(T_b,T_a,V_r_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f21(V_r_2,V_yx_2,T_b,T_a),$f20(V_r_2,V_yx_2,T_b,T_a)),V_r_2).
% 6.68/6.75  0 [] V_a_2!=V_b_2| -c_member(T_a,V_a_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Relation_OId__on(T_a,V_A_2))|V_xa_2=V_ya_2.
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Relation_OId__on(T_a,V_A_2))|c_member(T_a,V_xa_2,V_A_2).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Relation_OId__on(T_a,V_A_2))|V_xa_2!=V_ya_2| -c_member(T_a,V_xa_2,V_A_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -c_member(T_a,V_a_2,c_Wellfounded_Oacc(T_a,V_r_2))|c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_a_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_b_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|c_member(T_a,V_b_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.75  0 [] c_Relation_ODomain(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 6.68/6.75  0 [] 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).
% 6.68/6.75  0 [] c_Relation_ORange(T_a,T_a,c_Relation_OId__on(T_a,V_A_2))=V_A_2.
% 6.68/6.75  0 [] c_Relation_ORange(T_b,T_a,V_r_2)=c_Relation_ODomain(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_r_2)).
% 6.68/6.75  0 [] c_Relation_ODomain(T_a,T_b,c_Relation_Oconverse(T_b,T_a,V_r_2))=c_Relation_ORange(T_b,T_a,V_r_2).
% 6.68/6.75  0 [] c_Relation_ORange(T_b,T_a,c_Relation_Oconverse(T_a,T_b,V_r_2))=c_Relation_ODomain(T_a,T_b,V_r_2).
% 6.68/6.75  0 [] -c_member(T_a,V_a_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_a_2,$f22(V_r_2,T_b,V_a_2,T_a)),V_r_2).
% 6.68/6.75  0 [] c_member(T_a,V_a_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_a_2,B_y),V_r_2).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  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)).
% 6.68/6.75  0 [] c_member(T_a,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_xa_2=V_ya_2.
% 6.68/6.75  0 [] c_member(T_a,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_xa_2!=V_ya_2.
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ya_2,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,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_ya_2,V_xa_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] c_Transitive__Closure_Ortrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))=c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  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).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),V_c_2,c_Relation_OId__on(T_a,V_A_2))|c_member(T_a,$f23(V_A_2,V_c_2,T_a),V_A_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),V_c_2,c_Relation_OId__on(T_a,V_A_2))|V_c_2=c_Product__Type_OPair(T_a,T_a,$f23(V_A_2,V_c_2,T_a),$f23(V_A_2,V_c_2,T_a)).
% 6.68/6.75  0 [] -c_member(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2))|c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,$f24(V_r_2,T_b,V_a_2,T_a)),V_r_2).
% 6.68/6.75  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_xa_2,V_ya_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_xa_2,V_za_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_ya_2,V_za_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_za_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  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_P_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,$f28(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f27(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),c_Transitive__Closure_Ortrancl(tc_prod(T_a,T_b),V_r_2))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 6.68/6.75  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_P_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,$f28(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f27(V_P_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,$f26(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f25(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),V_r_2)|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 6.68/6.75  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_P_2,V_ax_2),V_ay_2))|hBOOL(hAPP(hAPP(V_P_2,$f28(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f27(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 6.68/6.75  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_P_2,V_ax_2),V_ay_2))| -hBOOL(hAPP(hAPP(V_P_2,$f26(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f25(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)).
% 6.68/6.75  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_P_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,$f32(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f31(V_P_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,$f30(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f29(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a))),V_r_2)|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 6.68/6.75  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_P_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,$f30(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a),$f29(V_P_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_P_2,V_ax_2),V_ay_2)).
% 6.68/6.75  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_P_2,V_bx_2),V_by_2))|hBOOL(hAPP(hAPP(V_P_2,$f30(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f29(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 6.68/6.75  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_P_2,V_bx_2),V_by_2))| -hBOOL(hAPP(hAPP(V_P_2,$f32(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)),$f31(V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_b,T_a)))|hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)).
% 6.68/6.75  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,$f34(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a),$f33(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a))),V_r_2).
% 6.68/6.75  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,$f34(V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_b,T_a),$f33(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)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_a_2=V_b_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,$f35(V_r_2,V_b_2,V_a_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_a_2=V_b_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f35(V_r_2,V_b_2,V_a_2,T_a),V_b_2),V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_za_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_xa_2=V_za_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,$f36(V_r_2,V_za_2,V_xa_2,T_a)),V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_za_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|V_xa_2=V_za_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f36(V_r_2,V_za_2,V_xa_2,T_a),V_za_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.75  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.
% 6.68/6.75  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,$f39(V_r_2,T_b,T_a),$f38(V_r_2,T_b,T_a)),V_r_2).
% 6.68/6.75  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,$f39(V_r_2,T_b,T_a),$f37(V_r_2,T_b,T_a)),V_r_2).
% 6.68/6.75  0 [] c_Relation_Osingle__valued(T_a,T_b,V_r_2)|$f38(V_r_2,T_b,T_a)!=$f37(V_r_2,T_b,T_a).
% 6.68/6.75  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_xa_2,V_ya_2),V_r_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_xa_2,V_za_2),V_r_2)|V_ya_2=V_za_2.
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f42(V_r_2,T_b,T_a),$f41(V_r_2,T_b,T_a)),V_r_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,$f42(V_r_2,T_b,T_a),$f40(V_r_2,T_b,T_a)),V_r_2)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 6.68/6.75  0 [] $f41(V_r_2,T_b,T_a)!=$f40(V_r_2,T_b,T_a)|c_Relation_Osingle__valued(T_a,T_b,V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_a_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,$f44(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|hBOOL(hAPP(V_P_2,V_b_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_a_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f44(V_P_2,V_r_2,V_b_2,V_a_2,T_a),$f43(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),V_r_2)|hBOOL(hAPP(V_P_2,V_b_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_a_2))|hBOOL(hAPP(V_P_2,$f44(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_b_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_a_2))| -hBOOL(hAPP(V_P_2,$f43(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_b_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_b_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f46(V_P_2,V_r_2,V_b_2,V_a_2,T_a),$f45(V_P_2,V_r_2,V_b_2,V_a_2,T_a)),V_r_2)|hBOOL(hAPP(V_P_2,V_a_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_b_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f45(V_P_2,V_r_2,V_b_2,V_a_2,T_a),V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))|hBOOL(hAPP(V_P_2,V_a_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_b_2))|hBOOL(hAPP(V_P_2,$f45(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_a_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))| -hBOOL(hAPP(V_P_2,V_b_2))| -hBOOL(hAPP(V_P_2,$f46(V_P_2,V_r_2,V_b_2,V_a_2,T_a)))|hBOOL(hAPP(V_P_2,V_a_2)).
% 6.68/6.75  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).
% 6.68/6.75  0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|c_member(T_a,$f48(V_r_2,V_A_2,T_a),V_A_2).
% 6.68/6.75  0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|c_member(T_a,$f47(V_r_2,V_A_2,T_a),V_A_2).
% 6.68/6.75  0 [] c_Relation_Ototal__on(T_a,V_A_2,V_r_2)|$f48(V_r_2,V_A_2,T_a)!=$f47(V_r_2,V_A_2,T_a).
% 6.68/6.75  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,$f48(V_r_2,V_A_2,T_a),$f47(V_r_2,V_A_2,T_a)),V_r_2).
% 6.68/6.75  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,$f47(V_r_2,V_A_2,T_a),$f48(V_r_2,V_A_2,T_a)),V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_xa_2),hAPP(V_f_2,V_ya_2)),V_r_2).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_xa_2),hAPP(V_f_2,V_ya_2)),V_r_2).
% 6.68/6.75  0 [] -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_member(T_a,V_a_2,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),V_r_2).
% 6.68/6.75  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_xa_2,V_ya_2),V_r_2)|c_member(T_a,V_xa_2,V_A_2).
% 6.68/6.75  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_xa_2,V_ya_2),V_r_2)|c_member(T_a,V_ya_2,V_A_2).
% 6.68/6.75  0 [] -c_Relation_Orefl__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Relation_Orefl__on(T_a,V_A_2,V_r_2).
% 6.68/6.75  0 [] c_Relation_Orefl__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Relation_Orefl__on(T_a,V_A_2,V_r_2).
% 6.68/6.75  0 [] c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.75  0 [] 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,c_Relation_Oconverse(T_b,T_b,V_R_2)),V_f_2).
% 6.68/6.75  0 [] -c_Relation_Ototal__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 6.68/6.75  0 [] c_Relation_Ototal__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_a_2),c_Relation_OId(T_a)).
% 6.68/6.75  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_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2)|V_a_2=V_b_2.
% 6.68/6.75  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.
% 6.68/6.75  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,$f50(V_r_2,T_a),$f49(V_r_2,T_a)),V_r_2).
% 6.68/6.75  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,$f49(V_r_2,T_a),$f50(V_r_2,T_a)),V_r_2).
% 6.68/6.75  0 [] c_Relation_Oantisym(T_a,V_r_2)|$f50(V_r_2,T_a)!=$f49(V_r_2,T_a).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,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_xa_2,V_ya_2),c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),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_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_ya_2,V_za_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_xa_2,V_za_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] c_Relation_Oantisym(T_a,c_Relation_OId(T_a)).
% 6.68/6.75  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)).
% 6.68/6.75  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).
% 6.68/6.75  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).
% 6.68/6.75  0 [] c_Transitive__Closure_Otrancl(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))=c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  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).
% 6.68/6.75  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).
% 6.68/6.75  0 [] c_Relation_Oconverse(T_a,T_a,c_Relation_OId(T_a))=c_Relation_OId(T_a).
% 6.68/6.75  0 [] c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)).
% 6.68/6.75  0 [] -c_Relation_Oantisym(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Relation_Oantisym(T_a,V_r_2).
% 6.68/6.75  0 [] c_Relation_Oantisym(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Relation_Oantisym(T_a,V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_R_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_R_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] c_Relation_Oantisym(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId(T_a))|V_a_2=V_b_2.
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Relation_OId(T_a))|V_a_2!=V_b_2.
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_xa_2=V_ya_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_xa_2!=V_ya_2.
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_xa_2=V_ya_2| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_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_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))|V_a_2=V_b_2|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_b_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_xa_2,$f51(V_R_2,V_ya_2,V_xa_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f51(V_R_2,V_ya_2,V_xa_2,T_a),V_ya_2),V_R_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_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_xa_2,$f52(V_R_2,V_ya_2,V_xa_2,T_a)),V_R_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Otrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f52(V_R_2,V_ya_2,V_xa_2,T_a),V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)).
% 6.68/6.75  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,$f53(V_p_2,T_a),$f53(V_p_2,T_a)).
% 6.68/6.75  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)).
% 6.68/6.75  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,$f54(V_r_2,T_a),$f54(V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f56(V_r_2,T_a),$f55(V_r_2,T_a)),V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f55(V_r_2,T_a),$f56(V_r_2,T_a)),V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 6.68/6.75  0 [] $f56(V_r_2,T_a)!=$f55(V_r_2,T_a)|c_Relation_Oantisym(T_a,V_r_2).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f57(V_ya_2,V_xa_2,V_r_2,T_a),$f57(V_ya_2,V_xa_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_xa_2,V_ya_2),V_r_2)|V_xa_2!=V_ya_2.
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_za_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_xa_2,V_za_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,$f58(V_r_2,V_za_2,V_xa_2,T_a)),V_r_2).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_za_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_za_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f58(V_r_2,V_za_2,V_xa_2,T_a),V_za_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_Wellfounded_Oacyclic(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 6.68/6.75  0 [] c_Wellfounded_Oacyclic(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Wellfounded_Oacyclic(T_a,V_r_2).
% 6.68/6.75  0 [] -c_Wellfounded_Oacyclic(T_a,V_r_2)|c_Relation_Oantisym(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f59(V_r_2,T_a),$f59(V_r_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 6.68/6.75  0 [] -c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ya_2,V_xa_2),V_r_2))|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 6.68/6.75  0 [] -c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ya_2,V_xa_2),V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] c_Wellfounded_Oacyclic(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ya_2,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_a_2,V_b_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,$f60(V_r_2,V_b_2,V_a_2,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f60(V_r_2,V_b_2,V_a_2,T_a),V_b_2),V_r_2).
% 6.68/6.75  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).
% 6.68/6.75  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).
% 6.68/6.75  0 [] c_Relation_Oirrefl(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 6.68/6.75  0 [] -hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))|hBOOL(hAPP(V_A_2,V_xa_2))|hBOOL(hAPP(V_B_2,V_xa_2)).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_B_2,V_xa_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_A_2,V_xa_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))|V_a_2=V_b_2|c_member(T_a,V_a_2,V_A_2).
% 6.68/6.75  0 [] -c_member(T_a,V_a_2,V_B_2)|c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 6.68/6.75  0 [] V_a_2!=V_b_2|c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_c_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_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,V_B_2)|c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,V_A_2)|c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2)|c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_c_2,V_A_2).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_c_2,V_B_2).
% 6.68/6.75  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)).
% 6.68/6.75  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=V_A_2.
% 6.68/6.75  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).
% 6.68/6.75  0 [] c_Set_Oinsert(T_a,V_xa_2,c_Set_Oinsert(T_a,V_xa_2,V_A_2))=c_Set_Oinsert(T_a,V_xa_2,V_A_2).
% 6.68/6.75  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Groups_Ominus__class_Ominus(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).
% 6.68/6.75  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).
% 6.68/6.75  0 [] c_Set_Oinsert(T_a,V_xa_2,c_Set_Oinsert(T_a,V_ya_2,V_A_2))=c_Set_Oinsert(T_a,V_ya_2,c_Set_Oinsert(T_a,V_xa_2,V_A_2)).
% 6.68/6.75  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.75  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)).
% 6.68/6.75  0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.75  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2),V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2).
% 6.68/6.75  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_B_2),V_C_2)=c_Set_Oinsert(T_a,V_a_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 6.68/6.75  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)).
% 6.68/6.75  0 [] c_Groups_Ominus__class_Ominus(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),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_C_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_C_2)).
% 6.68/6.75  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_P_2,B_x))|c_member(T_a,$f61(V_P_2,V_B_2,V_A_2,T_a),V_A_2)|c_member(T_a,$f62(V_P_2,V_B_2,V_A_2,T_a),V_B_2).
% 6.68/6.75  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_P_2,B_x))|c_member(T_a,$f61(V_P_2,V_B_2,V_A_2,T_a),V_A_2)|hBOOL(hAPP(V_P_2,$f62(V_P_2,V_B_2,V_A_2,T_a))).
% 6.68/6.75  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_P_2,B_x))|hBOOL(hAPP(V_P_2,$f61(V_P_2,V_B_2,V_A_2,T_a)))|c_member(T_a,$f62(V_P_2,V_B_2,V_A_2,T_a),V_B_2).
% 6.68/6.75  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_P_2,B_x))|hBOOL(hAPP(V_P_2,$f61(V_P_2,V_B_2,V_A_2,T_a)))|hBOOL(hAPP(V_P_2,$f62(V_P_2,V_B_2,V_A_2,T_a))).
% 6.68/6.75  0 [] c_member(T_a,$f63(V_P_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,X1,V_A_2)| -hBOOL(hAPP(V_P_2,X1)).
% 6.68/6.75  0 [] c_member(T_a,$f63(V_P_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_B_2)| -hBOOL(hAPP(V_P_2,X2)).
% 6.68/6.75  0 [] hBOOL(hAPP(V_P_2,$f63(V_P_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X1,V_A_2)| -hBOOL(hAPP(V_P_2,X1)).
% 6.68/6.75  0 [] hBOOL(hAPP(V_P_2,$f63(V_P_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X2,V_B_2)| -hBOOL(hAPP(V_P_2,X2)).
% 6.68/6.75  0 [] c_member(T_a,$f64(V_P_2,V_B_2,V_A_2,T_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,B_x,V_A_2)|hBOOL(hAPP(V_P_2,B_x)).
% 6.68/6.75  0 [] c_member(T_a,$f64(V_P_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_P_2,X3)).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_P_2,$f64(V_P_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,B_x,V_A_2)|hBOOL(hAPP(V_P_2,B_x)).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_P_2,$f64(V_P_2,V_B_2,V_A_2,T_a)))| -c_member(T_a,X3,V_B_2)|hBOOL(hAPP(V_P_2,X3)).
% 6.68/6.75  0 [] -c_member(T_a,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_P_2,X4))|c_member(T_a,$f65(V_P_2,V_B_2,V_A_2,T_a),V_A_2)|c_member(T_a,$f66(V_P_2,V_B_2,V_A_2,T_a),V_B_2).
% 6.68/6.75  0 [] -c_member(T_a,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_P_2,X4))|c_member(T_a,$f65(V_P_2,V_B_2,V_A_2,T_a),V_A_2)| -hBOOL(hAPP(V_P_2,$f66(V_P_2,V_B_2,V_A_2,T_a))).
% 6.68/6.75  0 [] -c_member(T_a,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_P_2,X4))| -hBOOL(hAPP(V_P_2,$f65(V_P_2,V_B_2,V_A_2,T_a)))|c_member(T_a,$f66(V_P_2,V_B_2,V_A_2,T_a),V_B_2).
% 6.68/6.75  0 [] -c_member(T_a,X4,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|hBOOL(hAPP(V_P_2,X4))| -hBOOL(hAPP(V_P_2,$f65(V_P_2,V_B_2,V_A_2,T_a)))| -hBOOL(hAPP(V_P_2,$f66(V_P_2,V_B_2,V_A_2,T_a))).
% 6.68/6.75  0 [] -hBOOL(hAPP(c_Set_Oinsert(T_a,V_ya_2,V_A_2),V_xa_2))|V_ya_2=V_xa_2|hBOOL(hAPP(V_A_2,V_xa_2)).
% 6.68/6.75  0 [] hBOOL(hAPP(c_Set_Oinsert(T_a,V_ya_2,V_A_2),V_xa_2))|V_ya_2!=V_xa_2.
% 6.68/6.75  0 [] hBOOL(hAPP(c_Set_Oinsert(T_a,V_ya_2,V_A_2),V_xa_2))| -hBOOL(hAPP(V_A_2,V_xa_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_xa_2,V_B_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.75  0 [] c_member(T_a,V_xa_2,V_B_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)=c_Set_Oinsert(T_a,V_xa_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_xa_2,V_B_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_A_2,V_xa_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)).
% 6.68/6.75  0 [] -hBOOL(hAPP(V_B_2,V_xa_2))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)).
% 6.68/6.75  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)).
% 6.68/6.75  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)).
% 6.68/6.75  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_a_2,V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_a_2,c_Relation_ODomain(T_a,T_b,V_r_2)).
% 6.68/6.75  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_a_2,V_b_2),V_r_2))=c_Set_Oinsert(T_a,V_b_2,c_Relation_ORange(T_b,T_a,V_r_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_c_2,V_A_2).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_c_2,V_B_2).
% 6.68/6.75  0 [] c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_c_2,V_A_2).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))| -c_member(T_a,V_c_2,V_B_2).
% 6.68/6.75  0 [] -c_member(T_a,V_c_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_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2).
% 6.68/6.75  0 [] c_member(T_a,V_c_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_c_2,V_A_2).
% 6.68/6.75  0 [] c_member(T_a,V_c_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_c_2,V_B_2).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,V_A_2)|c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_c_2,V_B_2)|c_member(T_a,V_c_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.75  0 [] c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))|V_a_2=V_b_2|c_member(T_a,V_a_2,V_A_2).
% 6.68/6.75  0 [] c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))|V_a_2!=V_b_2.
% 6.68/6.75  0 [] c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_A_2))| -c_member(T_a,V_a_2,V_A_2).
% 6.68/6.75  0 [] c_member(T_a,V_xa_2,V_A_2)|c_member(T_a,V_xa_2,V_B_2)|c_Set_Oinsert(T_a,V_xa_2,V_A_2)!=c_Set_Oinsert(T_a,V_xa_2,V_B_2)|V_A_2=V_B_2.
% 6.68/6.75  0 [] c_member(T_a,V_xa_2,V_A_2)|c_member(T_a,V_xa_2,V_B_2)|c_Set_Oinsert(T_a,V_xa_2,V_A_2)=c_Set_Oinsert(T_a,V_xa_2,V_B_2)|V_A_2!=V_B_2.
% 6.68/6.75  0 [] -c_member(T_a,V_a_2,V_B_2)|c_member(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 6.68/6.75  0 [] -c_member(T_a,V_a_2,V_A_2)|c_Set_Oinsert(T_a,V_a_2,V_A_2)=V_A_2.
% 6.68/6.75  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)).
% 6.68/6.75  0 [] 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),c_Relation_Oconverse(T_b,T_a,V_r_2),c_Relation_Oconverse(T_b,T_a,V_s_2)).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),V_xa_2,c_Transitive__Closure_Ortrancl(T_a,V_R_2))|c_member(tc_prod(T_a,T_a),V_xa_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))).
% 6.68/6.75  0 [] -c_member(tc_prod(T_a,T_a),V_xa_2,c_Transitive__Closure_Ortrancl(T_a,V_S_2))|c_member(tc_prod(T_a,T_a),V_xa_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))).
% 6.68/6.75  0 [] c_Transitive__Closure_Ortrancl(T_a,c_Groups_Ominus__class_Ominus(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).
% 6.68/6.75  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).
% 6.68/6.75  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -c_Relation_Ototal__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))|c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] c_Relation_Ototal__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a)))| -c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -class_Groups_Ominus(T_a)|hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_xa_2)=c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_xa_2),hAPP(V_B_2,V_xa_2)).
% 6.68/6.76  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_xa_2)=c_Lattices_Osemilattice__sup__class_Osup(T_a,hAPP(V_f_2,V_xa_2),hAPP(V_g_2,V_xa_2)).
% 6.68/6.76  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_P_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f68(V_Q_2,V_P_2,V_b_2,V_a_2,T_a),V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 6.68/6.76  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f67(V_Q_2,V_P_2,V_b_2,V_a_2,T_a),$f68(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),V_Q_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 6.68/6.76  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|$f67(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)!=$f68(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 6.68/6.76  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_P_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,$f70(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 6.68/6.76  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_P_2,V_Q_2)))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f70(V_Q_2,V_P_2,V_b_2,V_a_2,T_a),$f69(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)),V_Q_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 6.68/6.76  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_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_P_2,V_Q_2)))|$f70(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)!=$f69(V_Q_2,V_P_2,V_b_2,V_a_2,T_a)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),c_Transitive__Closure_Ortrancl(T_a,V_P_2)).
% 6.68/6.76  0 [] -c_Relation_Otrans(T_a,V_r_2)| -c_Relation_Oantisym(T_a,V_r_2)|c_Relation_Otrans(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ya_2,V_xa_2),V_r_2))|c_Wellfounded_Owf(T_a,V_r_2).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ya_2,V_xa_2),V_r_2))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.76  0 [] c_Wellfounded_Owf(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_ya_2,V_xa_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_xa_2,V_ya_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  0 [] -c_Relation_Otrans(T_a,V_R1_2)| -c_Relation_Otrans(T_b,V_R2_2)|c_Relation_Otrans(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_R1_2,V_R2_2)).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_Wellfounded_Oacyclic(T_a,V_r_2).
% 6.68/6.76  0 [] c_Relation_Otrans(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)).
% 6.68/6.76  0 [] -c_Relation_Otrans(T_a,V_r_2)|c_Transitive__Closure_Otrancl(T_a,V_r_2)=V_r_2.
% 6.68/6.76  0 [] c_Relation_Otrans(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.76  0 [] -c_Relation_Otrans(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Relation_Otrans(T_a,V_r_2).
% 6.68/6.76  0 [] c_Relation_Otrans(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Relation_Otrans(T_a,V_r_2).
% 6.68/6.76  0 [] c_Relation_Otrans(T_a,c_Relation_OId(T_a)).
% 6.68/6.76  0 [] c_Relation_Otrans(T_a,c_Relation_OId__on(T_a,V_A_2)).
% 6.68/6.76  0 [] -c_Relation_Otrans(T_a,V_r_2)|c_Relation_Otrans(T_b,hAPP(c_Relation_Oinv__image(T_a,T_b,V_r_2),V_f_2)).
% 6.68/6.76  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_a_2,V_a_2),V_r_2).
% 6.68/6.76  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_a_2,V_xa_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2).
% 6.68/6.76  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_a_2,V_xa_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_a_2),V_r_2).
% 6.68/6.76  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_a_2,V_a_2),V_r_2).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,V_xa_2,c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,B_x,c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.76  0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,$f71(V_r_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2)).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Wellfounded_Owf(T_a,c_Relation_Oconverse(T_a,T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2))).
% 6.68/6.76  0 [] -c_Relation_Otrans(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_c_2),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_c_2),V_r_2).
% 6.68/6.76  0 [] -c_Relation_Otrans(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_y),V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_y,B_z),V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_x,B_z),V_r_2).
% 6.68/6.76  0 [] c_Relation_Otrans(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f74(V_r_2,T_a),$f73(V_r_2,T_a)),V_r_2).
% 6.68/6.76  0 [] c_Relation_Otrans(T_a,V_r_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f73(V_r_2,T_a),$f72(V_r_2,T_a)),V_r_2).
% 6.68/6.76  0 [] c_Relation_Otrans(T_a,V_r_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f74(V_r_2,T_a),$f72(V_r_2,T_a)),V_r_2).
% 6.68/6.76  0 [] -c_Relation_Otrans(T_a,V_r_2)|c_Relation_Otrans(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))).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_a)=V_a.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_x)=V_x.
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_c))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_c)).
% 6.68/6.76  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_y,V_z))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z)).
% 6.68/6.76  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_y,V_z))=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_c)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_b,V_c)).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),V_z)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),V_z)=c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z)).
% 6.68/6.76  0 [] -c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)|c_Relation_Oirrefl(T_a,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)|c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,V_r_2)| -c_Relation_Otrans(T_a,V_r_2)| -c_Relation_Oirrefl(T_a,V_r_2)| -c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)).
% 6.68/6.76  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_a_2)=hAPP(hAPP(V_H_2,c_Recdef_Ocut(T_a,T_b,V_f_2,V_r_2,V_a_2)),V_a_2).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,V_r_2)|hAPP(c_Recdef_Owfrec(T_a,T_b,V_r_2,V_H_2),V_a_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_a_2)),V_a_2).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)|c_Order__Relation_Ostrict__linear__order__on(T_a,V_A_2,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 6.68/6.76  0 [] hBOOL(hAPP(V_P_2,$f75(T_a,V_R_2,T_b,V_P_2)))|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_b,hAPP(V_R_2,$f75(T_a,V_R_2,T_b,V_P_2)))|c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)|c_Relation_Orefl__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 6.68/6.76  0 [] c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)| -c_Relation_Orefl__on(T_a,V_A_2,V_r_2)| -c_Relation_Otrans(T_a,V_r_2).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,B_x,B_Q)|c_member(T_a,$f76(V_r_2,T_a,B_Q),B_Q).
% 6.68/6.76  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,$f76(V_r_2,T_a,B_Q)),V_r_2)| -c_member(T_a,B_y,B_Q).
% 6.68/6.76  0 [] c_Wellfounded_Owf(T_a,V_r_2)|c_member(T_a,$f77(V_r_2,T_a),$f79(V_r_2,T_a)).
% 6.68/6.76  0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,X5,$f79(V_r_2,T_a))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f78(V_r_2,T_a,X5),X5),V_r_2).
% 6.68/6.76  0 [] c_Wellfounded_Owf(T_a,V_r_2)| -c_member(T_a,X5,$f79(V_r_2,T_a))|c_member(T_a,$f78(V_r_2,T_a,X5),$f79(V_r_2,T_a)).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] c_Order__Relation_Opreorder__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Olinear__order__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] c_Order__Relation_Olinear__order__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Owell__order__on(T_a,V_A_2,V_r_2)|c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Owell__order__on(T_a,V_A_2,V_r_2)|c_Wellfounded_Owf(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 6.68/6.76  0 [] c_Order__Relation_Owell__order__on(T_a,V_A_2,V_r_2)| -c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)| -c_Wellfounded_Owf(T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,c_Relation_OId(T_a))).
% 6.68/6.76  0 [] -c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)|c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)|c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] c_Order__Relation_Olinear__order__on(T_a,V_A_2,V_r_2)| -c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)| -c_Relation_Ototal__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)|c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)|c_Relation_Oantisym(T_a,V_r_2).
% 6.68/6.76  0 [] c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2)| -c_Order__Relation_Opreorder__on(T_a,V_A_2,V_r_2)| -c_Relation_Oantisym(T_a,V_r_2).
% 6.68/6.76  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)).
% 6.68/6.76  0 [] -c_Order__Relation_Opartial__order__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))|c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] c_Order__Relation_Opartial__order__on(T_a,V_A_2,c_Relation_Oconverse(T_a,T_a,V_r_2))| -c_Order__Relation_Opartial__order__on(T_a,V_A_2,V_r_2).
% 6.68/6.76  0 [] -c_member(T_a,$f80(V_r_2,T_a),c_Wellfounded_Oacc(T_a,V_r_2))|c_Wellfounded_Owf(T_a,V_r_2).
% 6.68/6.76  0 [] c_Relation_OField(T_a,V_r_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_a,V_r_2),c_Relation_ORange(T_a,T_a,V_r_2)).
% 6.68/6.76  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_xa_2),hAPP(V_f_2,V_ya_2)).
% 6.68/6.76  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_xa_2),hAPP(V_f_2,V_ya_2)).
% 6.68/6.76  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f83(V_r_2,T_a),$f82(V_r_2,T_a)),V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 6.68/6.76  0 [] c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f82(V_r_2,T_a),$f81(V_r_2,T_a)),V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 6.68/6.76  0 [] -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f83(V_r_2,T_a),$f81(V_r_2,T_a)),V_r_2)|c_Relation_Otrans(T_a,V_r_2).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_a)|c_Orderings_Oord__class_Oless(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_b)|c_Orderings_Oord__class_Oless(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)).
% 6.68/6.76  0 [] c_Relation_OField(T_a,c_Relation_Oconverse(T_a,T_a,V_r_2))=c_Relation_OField(T_a,V_r_2).
% 6.68/6.76  0 [] c_Relation_OField(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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a,V_r_2),c_Relation_OField(T_a,V_s_2)).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_f_2,V_xa_2),hAPP(V_f_2,V_ya_2))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_ya_2),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)).
% 6.68/6.76  0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2).
% 6.68/6.76  0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2).
% 6.68/6.76  0 [] c_Relation_OField(T_a,c_Set_Oinsert(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_a_2,V_b_2),V_r_2))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OField(T_a,V_r_2)).
% 6.68/6.76  0 [] c_Wellfounded_Omeasure(T_a)=c_Relation_Oinv__image(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than).
% 6.68/6.76  0 [] c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 6.68/6.76  0 [] c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than).
% 6.68/6.76  0 [] c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than).
% 6.68/6.76  0 [] -c_member(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 6.68/6.76  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))).
% 6.68/6.76  0 [] c_Relation_OField(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2).
% 6.68/6.76  0 [] c_Order__Relation_Olinear__order__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))).
% 6.68/6.76  0 [] c_Order__Relation_Opreorder__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))).
% 6.68/6.76  0 [] V_A_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))| -c_member(T_a,V_a_2,V_A_2).
% 6.68/6.76  0 [] -c_member(T_a,V_c_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 6.68/6.76  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)).
% 6.68/6.76  0 [] c_member(T_a,$f84(V_A_2,T_a),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 6.68/6.76  0 [] c_member(T_a,$f85(V_A_2,T_a),V_A_2)|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 6.68/6.76  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)).
% 6.68/6.76  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))).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  0 [] c_Product__Type_OSigma(T_a,T_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_B_2)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 6.68/6.76  0 [] c_Groups_Ominus__class_Ominus(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.
% 6.68/6.76  0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),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)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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.
% 6.68/6.76  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.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))!=c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))|V_a_2=V_b_2.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_c_2|V_a_2=V_d_2.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_c_2|V_b_2=V_c_2.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_d_2|V_a_2=V_d_2.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_d_2|V_b_2=V_c_2.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_c_2|V_b_2!=V_d_2.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Set_Oinsert(T_a,V_c_2,c_Set_Oinsert(T_a,V_d_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_d_2|V_b_2!=V_c_2.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,V_A_2)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 6.68/6.76  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))!=c_Set_Oinsert(T_a,V_a_2,V_A_2).
% 6.68/6.76  0 [] c_Relation_Oantisym(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))).
% 6.68/6.76  0 [] c_Order__Relation_Opartial__order__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))).
% 6.68/6.76  0 [] c_Order__Relation_Owell__order__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))).
% 6.68/6.76  0 [] c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2).
% 6.68/6.76  0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Orderings_Obot__class_Obot(T_a),V_x)=V_x.
% 6.68/6.76  0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Orderings_Obot__class_Obot(T_a))=V_x.
% 6.68/6.76  0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2)!=c_Orderings_Obot__class_Obot(T_a)|V_xa_2=c_Orderings_Obot__class_Obot(T_a).
% 6.68/6.76  0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2)!=c_Orderings_Obot__class_Obot(T_a)|V_ya_2=c_Orderings_Obot__class_Obot(T_a).
% 6.68/6.76  0 [] -class_Lattices_Obounded__lattice__bot(T_a)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2)=c_Orderings_Obot__class_Obot(T_a)|V_xa_2!=c_Orderings_Obot__class_Obot(T_a)|V_ya_2!=c_Orderings_Obot__class_Obot(T_a).
% 6.68/6.76  0 [] -c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_a_2.
% 6.68/6.76  0 [] c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2!=V_a_2.
% 6.68/6.76  0 [] -c_member(T_a,V_b_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_b_2=V_a_2.
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2).
% 6.68/6.76  0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))).
% 6.68/6.76  0 [] c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,V_B_2))=c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2).
% 6.68/6.76  0 [] c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))=c_Set_Oinsert(T_a,V_a_2,V_A_2).
% 6.68/6.76  0 [] -c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_xa_2,V_ya_2),c_Wellfounded_Oless__than)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_xa_2,V_ya_2).
% 6.68/6.76  0 [] c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat,V_xa_2,V_ya_2),c_Wellfounded_Oless__than)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_xa_2,V_ya_2).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -c_member(T_a,V_a_2,V_A_2)|c_Set_Oinsert(T_a,V_a_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))=V_A_2.
% 6.68/6.76  0 [] c_member(T_a,V_xa_2,V_A_2)|c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=V_A_2.
% 6.68/6.76  0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|V_a_2!=V_b_2|V_c_2=V_d_2.
% 6.68/6.76  0 [] -class_Groups_Oab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|V_a_2=V_b_2|V_c_2!=V_d_2.
% 6.68/6.76  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)).
% 6.68/6.76  0 [] c_Set_Othe__elem(T_a,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=V_xa_2.
% 6.68/6.76  0 [] -c_member(T_a,V_xa_2,V_A_2)| -c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_za_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_ya_2)|c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_za_2,V_A_2,hAPP(hAPP(V_f_2,V_xa_2),V_ya_2)).
% 6.68/6.76  0 [] -class_Orderings_Obot(T_a)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_xa_2)=c_Orderings_Obot__class_Obot(T_a).
% 6.68/6.76  0 [] -c_Relation_Orefl__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Relation_Oantisym(T_a,V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_b_2.
% 6.68/6.76  0 [] -c_Relation_Orefl__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Relation_Oantisym(T_a,V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_b_2.
% 6.68/6.76  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).
% 6.68/6.76  0 [] c_Relation_OImage(T_b,T_a,V_R_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 6.68/6.76  0 [] c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a),V_A_2)=V_A_2.
% 6.68/6.76  0 [] c_Relation_OImage(T_b,T_a,V_R_2,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(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_OImage(T_b,T_a,V_R_2,V_A_2),c_Relation_OImage(T_b,T_a,V_R_2,V_B_2)).
% 6.68/6.76  0 [] c_Relation_OImage(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),V_A_2)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_b,T_a,V_R_2,V_A_2),c_Relation_OImage(T_b,T_a,V_S_2,V_A_2)).
% 6.68/6.76  0 [] c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_za_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_za_2).
% 6.68/6.76  0 [] c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2).
% 6.68/6.76  0 [] -c_member(T_a,V_a_2,V_A_2)| -c_member(tc_prod(T_a,T_b),c_Product__Type_OPair(T_a,T_b,V_a_2,V_b_2),V_r_2)|c_member(T_b,V_b_2,c_Relation_OImage(T_a,T_b,V_r_2,V_A_2)).
% 6.68/6.76  0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(T_b,$f86(V_A_2,V_r_2,T_b,V_b_2,T_a),V_A_2).
% 6.68/6.76  0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f86(V_A_2,V_r_2,T_b,V_b_2,T_a),V_b_2),V_r_2).
% 6.68/6.76  0 [] c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))| -c_member(T_b,B_x,V_A_2)| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,B_x,V_b_2),V_r_2).
% 6.68/6.76  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_x).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|V_xa_2=V_ya_2|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|V_xa_2!=V_ya_2| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|V_xa_2!=V_ya_2| -c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)|V_xa_2=V_ya_2.
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x!=V_y.
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x!=V_y.
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_y!=V_x.
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2).
% 6.68/6.76  0 [] c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,c_Set_Oinsert(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))| -c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,V_a_2,V_b_2),V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opartial__order__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))!=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2=V_b_2.
% 6.68/6.76  0 [] -c_Order__Relation_Opartial__order__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))=c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))|V_a_2!=V_b_2.
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_member(T_a,V_a_2,c_Relation_OField(T_a,V_r_2))| -c_member(T_a,V_b_2,c_Relation_OField(T_a,V_r_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Relation_OImage(T_a,T_a,V_r_2,c_Set_Oinsert(T_a,V_b_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_b_2,V_a_2),V_r_2).
% 6.68/6.76  0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|V_a2_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=hAPP(hAPP(V_a3_2,$f88(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)),$f87(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)).
% 6.68/6.76  0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|V_a2_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|c_member(T_a,$f88(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a),V_a2_2).
% 6.68/6.76  0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|V_a2_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,$f88(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),$f87(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)).
% 6.68/6.76  0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=V_a4_2|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=hAPP(hAPP(V_a3_2,$f88(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)),$f87(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)).
% 6.68/6.76  0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=V_a4_2|c_member(T_a,$f88(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a),V_a2_2).
% 6.68/6.76  0 [] -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)=V_a4_2|c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,$f88(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),$f87(V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a)).
% 6.68/6.76  0 [] c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|V_a2_2!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)!=V_a4_2.
% 6.68/6.76  0 [] c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))|hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2)!=hAPP(hAPP(V_a3_2,B_x),B_y)| -c_member(T_a,B_x,V_a2_2)| -c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_a2_2,c_Set_Oinsert(T_a,B_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y).
% 6.68/6.76  0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x).
% 6.68/6.76  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.
% 6.68/6.76  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_c_2,V_A_2)|c_member(T_a,V_c_2,V_B_2).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 6.68/6.76  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2).
% 6.68/6.76  0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 6.68/6.76  0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 6.68/6.76  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.
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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.
% 6.68/6.76  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).
% 6.68/6.76  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.
% 6.68/6.76  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).
% 6.68/6.76  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.
% 6.68/6.76  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.
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Obot(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Orderings_Obot__class_Obot(T_a),V_x).
% 6.68/6.76  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).
% 6.68/6.76  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)).
% 6.68/6.76  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,$f89(V_g_2,V_f_2,T_a,T_b)),hAPP(V_g_2,$f89(V_g_2,V_f_2,T_a,T_b))).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)|V_xa_2!=V_ya_2|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)|V_xa_2!=V_ya_2|c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)|V_xa_2=V_ya_2| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 6.68/6.76  0 [] -class_Orderings_Opreorder(T_a)|V_x!=V_y|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y).
% 6.68/6.76  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_xa_2),hAPP(V_g_2,V_xa_2)).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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.
% 6.68/6.76  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).
% 6.68/6.76  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.
% 6.68/6.76  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).
% 6.68/6.76  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_xa_2),hAPP(V_g_2,V_xa_2)).
% 6.68/6.76  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).
% 6.68/6.76  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(T_a,tc_HOL_Obool),V_A_H_2,V_A_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_b,tc_HOL_Obool),c_Relation_OImage(T_a,T_b,V_r_H_2,V_A_H_2),c_Relation_OImage(T_a,T_b,V_r_2,V_A_2)).
% 6.68/6.76  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_xa_2,V_A_2)|c_member(T_a,V_xa_2,V_B_2).
% 6.68/6.76  0 [] -c_member(T_a,V_xa_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_xa_2,V_B_2).
% 6.68/6.76  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_xa_2,V_A_2)|c_member(T_a,V_xa_2,V_B_2).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_r_2,V_s_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a,V_r_2),c_Relation_OField(T_a,V_s_2)).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_d)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_c,V_d)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z),V_x).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b),V_x).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=V_x.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)=V_y.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_a,V_b)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2),V_za_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_za_2).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2),V_za_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_za_2).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2),V_za_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_za_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_za_2).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2)=V_ya_2.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Lattices_Osemilattice__sup__class_Osup(T_a,V_xa_2,V_ya_2)!=V_ya_2.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__sup(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y)).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_a_2,V_C_2),c_Set_Oinsert(T_a,V_a_2,V_D_2)).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_b_2,V_B_2)).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Set_Oinsert(T_a,V_a_2,V_B_2)).
% 6.68/6.76  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)).
% 6.68/6.76  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).
% 6.68/6.76  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.
% 6.68/6.76  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.
% 6.68/6.76  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.
% 6.68/6.76  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.
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  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)).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_A_2).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -hBOOL(hAPP(V_P_2,V_xa_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2,V_Q_2)|hBOOL(hAPP(V_Q_2,V_xa_2)).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_P_2,V_Q_2)| -hBOOL(hAPP(V_P_2,V_xa_2))|hBOOL(hAPP(V_Q_2,V_xa_2)).
% 6.68/6.76  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)).
% 6.68/6.76  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).
% 6.68/6.76  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)).
% 6.68/6.76  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_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2))=V_A_2.
% 6.68/6.76  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_D_2,V_B_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_D_2)).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_A_2).
% 6.68/6.76  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).
% 6.68/6.76  0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2).
% 6.68/6.76  0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)!=c_Groups_Ominus__class_Ominus(T_a,V_c_2,V_d_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)|c_member(T_a,V_xa_2,V_B_2).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_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).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a,V_xa_2,V_A_2),V_B_2)| -c_member(T_a,V_xa_2,V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] c_member(T_a,V_xa_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_xa_2,V_B_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] c_member(T_a,V_xa_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_xa_2,V_B_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_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_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)|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_B_2,V_C_2)).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)| -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_B_2,V_C_2)).
% 6.68/6.76  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,c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_B_2,V_A_2))=V_B_2.
% 6.68/6.76  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)).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_X_2),V_X_2)|c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2),V_X_2)=V_X_2.
% 6.68/6.76  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))).
% 6.68/6.76  0 [] -c_Wellfounded_Owf(T_a,V_R_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OImage(T_a,T_a,V_R_2,V_A_2))|V_A_2=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Relation_ODomain(T_a,T_b,V_A_2),c_Relation_ODomain(T_a,T_b,V_B_2)),c_Relation_ODomain(T_a,T_b,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2)),c_Relation_ORange(T_b,T_a,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2))).
% 6.68/6.76  0 [] c_Wellfounded_Oless__than=c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))| -c_member(T_a,V_xa_2,V_A_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))|c_member(T_a,V_xa_2,V_A_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))|c_member(T_a,V_xa_2,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_member(T_a,V_xa_2,V_A_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_member(T_a,V_xa_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_xa_2,V_B_2)).
% 6.68/6.76  0 [] c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))| -c_member(T_a,V_xa_2,V_B_2)|c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))|c_member(T_a,V_xa_2,V_B_2)| -c_member(T_a,V_xa_2,V_A_2)|c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2).
% 6.68/6.76  0 [] -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))|c_member(T_a,V_xa_2,V_B_2)|c_member(T_a,V_xa_2,V_A_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))|c_member(T_a,V_xa_2,V_B_2)|c_member(T_a,V_xa_2,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))|c_member(T_a,V_xa_2,V_B_2)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_member(T_a,V_xa_2,V_A_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))|c_member(T_a,V_xa_2,V_B_2)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))| -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)| -c_member(T_a,V_xa_2,V_B_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))| -c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)|c_member(T_a,V_xa_2,V_A_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))| -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),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_member(T_a,V_xa_2,V_A_2).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,V_B_2))| -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),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Set_Oinsert(T_a,V_xa_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_B_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))| -c_member(T_a,B_x,V_A_2)|c_member(T_a,$f90(V_B_2,V_A_2,V_r_2,T_a,B_x),V_B_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))| -c_member(T_a,B_x,V_A_2)|c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,$f90(V_B_2,V_A_2,V_r_2,T_a,B_x),B_x),V_r_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))|c_member(T_a,$f91(V_B_2,V_A_2,V_r_2,T_a),V_A_2).
% 6.68/6.76  0 [] -c_Order__Relation_Opreorder__on(T_a,c_Relation_OField(T_a,V_r_2),V_r_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_A_2,c_Relation_OField(T_a,V_r_2))| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_B_2,c_Relation_OField(T_a,V_r_2))|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_a,T_a,V_r_2,V_A_2),c_Relation_OImage(T_a,T_a,V_r_2,V_B_2))| -c_member(T_a,B_xa,V_B_2)| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,B_xa,$f91(V_B_2,V_A_2,V_r_2,T_a)),V_r_2).
% 6.68/6.76  0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(tc_prod(T_b,T_a),c_Product__Type_OPair(T_b,T_a,$f92(V_A_2,V_r_2,T_b,V_b_2,T_a),V_b_2),V_r_2).
% 6.68/6.76  0 [] -c_member(T_a,V_b_2,c_Relation_OImage(T_b,T_a,V_r_2,V_A_2))|c_member(T_b,$f92(V_A_2,V_r_2,T_b,V_b_2,T_a),V_A_2).
% 6.68/6.76  0 [] c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),c_Relation_Oconverse(T_a,T_a,V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))| -c_member(tc_prod(T_a,T_a),c_Product__Type_OPair(T_a,T_a,V_xa_2,V_xa_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)).
% 6.68/6.76  0 [] -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))|hBOOL(hAPP(V_A_2,V_xa_2)).
% 6.68/6.76  0 [] -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2))|hBOOL(hAPP(V_B_2,V_xa_2)).
% 6.68/6.76  0 [] -hBOOL(hAPP(V_A_2,V_xa_2))| -hBOOL(hAPP(V_B_2,V_xa_2))|hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_xa_2)).
% 6.68/6.76  0 [] -c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_c_2,V_A_2).
% 6.68/6.76  0 [] -c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2))|c_member(T_a,V_c_2,V_B_2).
% 6.68/6.76  0 [] -c_member(T_a,V_c_2,V_A_2)| -c_member(T_a,V_c_2,V_B_2)|c_member(T_a,V_c_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2)).
% 6.68/6.76  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).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_b,T_a,V_R_2,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool),V_A_2,V_B_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Relation_OImage(T_b,T_a,V_R_2,V_A_2),c_Relation_OImage(T_b,T_a,V_R_2,V_B_2))).
% 6.68/6.76  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)!=c_Lattices_Osemilattice__inf__class_Oinf(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_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2).
% 6.68/6.76  0 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),V_A_2,V_B_2),V_C_2)=c_Lattices_Osemilattice__inf__class_Oinf(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_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),V_C_2,V_A_2).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_z)),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_y,V_z))).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)),c_Lattices_Osemilattice__inf__class_Oinf(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_y),c_Lattices_Osemilattice__sup__class_Osup(T_a,V_x,V_z))).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_x).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_x).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_y).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y),V_y).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_xa_2,V_ya_2)=V_xa_2.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_xa_2,V_ya_2)!=V_xa_2.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_ya_2,V_za_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_ya_2,V_za_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_za_2).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_ya_2,V_za_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_za_2).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),V_x).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)=V_x.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_x,V_y)=V_y.
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_y,V_z)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_d)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_c,V_d)).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b))|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a).
% 6.68/6.76  0 [] -class_Lattices_Osemilattice__inf(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Lattices_Osemilattice__inf__class_Oinf(T_a,V_a,V_b))|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_b).
% 6.68/6.76  0 [] c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_A_2,V_B_2)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool),c_Relation_ORange(T_b,T_a,V_A_2),c_Relation_ORange(T_b,T_a,V_B_2))).
% 6.68/6.76  0 [] class_Lattices_Obounded__lattice(tc_HOL_Obool).
% 6.68/6.76  0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Lattices_Obounded__lattice(T_1)|class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Lattices_Olattice(T_1)|class_Lattices_Olattice(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Orderings_Oord(T_1)|class_Orderings_Oord(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Orderings_Obot(T_1)|class_Orderings_Obot(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] -class_Groups_Ominus(T_1)|class_Groups_Ominus(tc_fun(T_2,T_1)).
% 6.68/6.76  0 [] class_Lattices_Osemilattice__sup(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Lattices_Osemilattice__inf(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Orderings_Opreorder(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Orderings_Olinorder(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Lattices_Olattice(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Orderings_Oorder(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Orderings_Oord(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Orderings_Obot(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Groups_Ominus(tc_Nat_Onat).
% 6.68/6.76  0 [] class_Lattices_Obounded__lattice__bot(tc_HOL_Obool).
% 6.68/6.76  0 [] class_Lattices_Osemilattice__sup(tc_HOL_Obool).
% 6.68/6.76  0 [] class_Lattices_Osemilattice__inf(tc_HOL_Obool).
% 6.68/6.76  0 [] class_Orderings_Opreorder(tc_HOL_Obool).
% 6.68/6.76  0 [] class_Lattices_Olattice(tc_HOL_Obool).
% 6.68/6.76  0 [] class_Orderings_Oorder(tc_HOL_Obool).
% 6.68/6.76  0 [] class_Orderings_Oord(tc_HOL_Obool).
% 6.68/6.76  0 [] class_Orderings_Obot(tc_HOL_Obool).
% 6.68/6.76  0 [] class_Groups_Ominus(tc_HOL_Obool).
% 6.68/6.76  0 [] -hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2))|V_x_2=V_y_2.
% 6.68/6.76  0 [] V_x_2!=V_y_2|hBOOL(hAPP(c_fe_qual(V_x_2),V_y_2)).
% 6.68/6.76  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,v_y),c_Arrow__Order__Mirabelle_Omkbot(v_L,v_z))|v_y!=v_z.
% 6.68/6.76  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,v_y),c_Arrow__Order__Mirabelle_Omkbot(v_L,v_z))|v_x!=v_z|v_x!=v_y.
% 6.68/6.76  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,v_y),c_Arrow__Order__Mirabelle_Omkbot(v_L,v_z))|v_x=v_z|c_member(tc_prod(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,v_y),v_L).
% 6.68/6.76  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,v_y),c_Arrow__Order__Mirabelle_Omkbot(v_L,v_z))|v_y=v_z|v_x=v_z| -c_member(tc_prod(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,v_y),v_L).
% 6.68/6.76  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,v_y),c_Arrow__Order__Mirabelle_Omkbot(v_L,v_z))|v_y=v_z|v_x=v_y|v_x!=v_z.
% 6.68/6.76  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,v_y),c_Arrow__Order__Mirabelle_Omkbot(v_L,v_z))|v_y=v_z|v_x=v_y| -c_member(tc_prod(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,v_y),v_L).
% 6.68/6.76  end_of_list.
% 6.68/6.76  
% 6.68/6.76  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 6.68/6.76  
% 6.68/6.76  This ia a non-Horn set with equality.  The strategy will be
% 6.68/6.76  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 6.68/6.76  deletion, with positive clauses in sos and nonpositive
% 6.68/6.76  clauses in usable.
% 6.68/6.76  
% 6.68/6.76     dependent: set(knuth_bendix).
% 6.68/6.76     dependent: set(anl_eq).
% 6.68/6.76     dependent: set(para_from).
% 6.68/6.76     dependent: set(para_into).
% 6.68/6.76     dependent: clear(para_from_right).
% 6.68/6.76     dependent: clear(para_into_right).
% 6.68/6.76     dependent: set(para_from_vars).
% 6.68/6.76     dependent: set(eq_units_both_ways).
% 6.68/6.76     dependent: set(dynamic_demod_all).
% 6.68/6.76     dependent: set(dynamic_demod).
% 6.68/6.76     dependent: set(order_eq).
% 6.68/6.76     dependent: set(back_demod).
% 6.68/6.76     dependent: set(lrpo).
% 6.68/6.76     dependent: set(hyper_res).
% 6.68/6.76     dependent: set(unit_deletion).
% 6.68/6.76     dependent: set(factor).
% 6.68/6.76  
% 6.68/6.76  ------------> process usable:
% 6.68/6.76  ** KEPT (pick-wt=14): 1 [] hAPP(A,$f1(B,A))!=hAPP(B,$f1(B,A))|A=B.
% 6.68/6.76  ** KEPT (pick-wt=15): 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,A,B),c_Arrow__Order__Mirabelle_Omktop(C,D))|A!=D.
% 6.68/6.76  ** KEPT (pick-wt=18): 3 [] -c_member(tc_prod(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.
% 6.68/6.76  ** KEPT (pick-wt=25): 4 [] -c_member(tc_prod(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).
% 6.68/6.76  ** KEPT (pick-wt=28): 5 [] c_member(tc_prod(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).
% 6.68/6.77  ** KEPT (pick-wt=21): 6 [] c_member(tc_prod(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.
% 6.68/6.77  ** KEPT (pick-wt=28): 7 [] c_member(tc_prod(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).
% 6.68/6.77  ** KEPT (pick-wt=11): 8 [] A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 6.68/6.77  ** KEPT (pick-wt=11): 9 [] A!=B|c_member(C,D,B)| -c_member(C,D,A).
% 6.68/6.77  ** KEPT (pick-wt=19): 10 [] -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).
% 6.68/6.77  ** KEPT (pick-wt=19): 11 [] 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).
% 6.68/6.77  ** KEPT (pick-wt=46): 12 [] -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)).
% 6.68/6.77  ** KEPT (pick-wt=13): 13 [] -c_Nitpick_Orefl_H(A,B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 6.68/6.77  ** KEPT (pick-wt=17): 14 [] c_Nitpick_Orefl_H(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f2(B,A),$f2(B,A)),B).
% 6.68/6.77  ** KEPT (pick-wt=15): 15 [] -hBOOL(hAPP(A,$f3(B,C,A)))|hBOOL(hAPP(A,c_Product__Type_OPair(C,B,D,E))).
% 6.68/6.77  ** KEPT (pick-wt=18): 16 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(A,c_Product__Type_OPair(C,D,$f5(D,C,A),$f4(D,C,A)))).
% 6.68/6.77  ** KEPT (pick-wt=14): 17 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 6.68/6.77  ** KEPT (pick-wt=14): 18 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 6.68/6.77  ** KEPT (pick-wt=17): 19 [] c_Product__Type_OPair(A,B,C,D)=c_Product__Type_OPair(A,B,E,F)|C!=E|D!=F.
% 6.68/6.77    Following clause subsumed by 17 during input processing: 0 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 6.68/6.77    Following clause subsumed by 18 during input processing: 0 [] c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 6.68/6.77  ** KEPT (pick-wt=8): 20 [] -c_member(A,B,C)|hBOOL(hAPP(C,B)).
% 6.68/6.77  ** KEPT (pick-wt=8): 21 [] c_member(A,B,C)| -hBOOL(hAPP(C,B)).
% 6.68/6.77  ** KEPT (pick-wt=11): 22 [] A!=B| -c_member(C,B,D)|c_member(C,A,D).
% 6.68/6.77  ** KEPT (pick-wt=11): 23 [] A!=B| -c_member(C,A,D)|c_member(C,B,D).
% 6.68/6.77    Following clause subsumed by 22 during input processing: 0 [] A!=B|c_member(C,A,D)| -c_member(C,B,D).
% 6.68/6.77    Following clause subsumed by 9 during input processing: 0 [] A!=B| -c_member(C,D,A)|c_member(C,D,B).
% 6.68/6.77    Following clause subsumed by 8 during input processing: 0 [] A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 6.68/6.77  ** KEPT (pick-wt=43): 24 [] -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.
% 6.68/6.77  ** KEPT (pick-wt=50): 25 [] -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).
% 6.68/6.77  ** KEPT (pick-wt=40): 26 [] 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).
% 6.68/6.77  ** KEPT (pick-wt=43): 27 [] 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).
% 6.68/6.77  ** KEPT (pick-wt=28): 28 [] -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).
% 6.68/6.77  ** KEPT (pick-wt=31): 29 [] -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).
% 6.68/6.77    Following clause subsumed by 28 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).
% 6.68/6.77  ** KEPT (pick-wt=28): 31 [copy,30,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,$f6(F,E,D,C,B,A)),E)=hAPP(hAPP(D,F),E).
% 6.68/6.77  ** KEPT (pick-wt=36): 32 [] -c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,G,E),C)|c_Recdef_Owfrec__rel(A,B,C,D,G,hAPP($f6(F,E,D,C,B,A),G)).
% 6.68/6.77  ** KEPT (pick-wt=39): 33 [] 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,$f7(F,E,D,C,B,A,G),E),C).
% 6.68/6.77  ** KEPT (pick-wt=45): 34 [] c_Recdef_Owfrec__rel(A,B,C,D,E,hAPP(hAPP(D,F),E))|hAPP(hAPP(D,F),E)!=hAPP(hAPP(D,G),E)| -c_Recdef_Owfrec__rel(A,B,C,D,$f7(F,E,D,C,B,A,G),hAPP(G,$f7(F,E,D,C,B,A,G))).
% 6.68/6.77  ** KEPT (pick-wt=16): 35 [] -hBOOL(hAPP(A,c_Product__Type_OPair(B,C,D,E)))|hBOOL(c_Product__Type_Ocurry(B,C,tc_HOL_Obool,A,D,E)).
% 6.68/6.77  ** KEPT (pick-wt=22): 36 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|hAPP(c_Recdef_Ocut(A,E,F,D,C),B)=hAPP(F,B).
% 6.68/6.77  ** KEPT (pick-wt=30): 37 [] c_Recdef_Ocut(A,B,C,D,E)!=c_Recdef_Ocut(A,B,F,D,E)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,G,E),D)|hAPP(C,G)=hAPP(F,G).
% 6.68/6.77  ** KEPT (pick-wt=32): 38 [] c_Recdef_Ocut(A,B,C,D,E)=c_Recdef_Ocut(A,B,F,D,E)|hAPP(C,$f8(F,E,D,C,B,A))!=hAPP(F,$f8(F,E,D,C,B,A)).
% 6.68/6.77    Following clause subsumed by 36 during input processing: 0 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|hAPP(c_Recdef_Ocut(A,E,F,D,C),B)=hAPP(F,B).
% 6.68/6.77  ** KEPT (pick-wt=8): 39 [] -c_member(A,B,c_fe_qual(C))|B=C.
% 6.68/6.77  ** KEPT (pick-wt=8): 40 [] c_member(A,B,c_fe_qual(C))|B!=C.
% 6.68/6.77  ** KEPT (pick-wt=16): 41 [] -hBOOL(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C,D,E))|hBOOL(hAPP(C,c_Product__Type_OPair(A,B,D,E))).
% 6.68/6.77    Following clause subsumed by 41 during input processing: 0 [] -hBOOL(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C,D,E))|hBOOL(hAPP(C,c_Product__Type_OPair(A,B,D,E))).
% 6.68/6.77  ** KEPT (pick-wt=20): 43 [copy,42,flip.2] -c_Recdef_Owfrec__rel(A,B,C,D,E,F)|hAPP(hAPP(D,$f9(F,E,D,C,B,A)),E)=F.
% 6.68/6.77  ** KEPT (pick-wt=32): 44 [] -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($f9(F,E,D,C,B,A),G)).
% 6.68/6.77  ** KEPT (pick-wt=31): 45 [] c_Recdef_Owfrec__rel(A,B,C,D,E,F)|F!=hAPP(hAPP(D,G),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f10(F,E,D,C,B,A,G),E),C).
% 6.68/6.77  ** KEPT (pick-wt=37): 46 [] c_Recdef_Owfrec__rel(A,B,C,D,E,F)|F!=hAPP(hAPP(D,G),E)| -c_Recdef_Owfrec__rel(A,B,C,D,$f10(F,E,D,C,B,A,G),hAPP(G,$f10(F,E,D,C,B,A,G))).
% 6.68/6.77  ** KEPT (pick-wt=32): 47 [] -c_Recdef_Owfrec__rel(A,B,C,D,$f11(E,D,B,C,F,A),hAPP(E,$f11(E,D,B,C,F,A)))|c_Recdef_Owfrec__rel(A,B,C,D,F,hAPP(hAPP(D,E),F)).
% 6.68/6.77  ** KEPT (pick-wt=22): 48 [] -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)).
% 6.68/6.77  ** KEPT (pick-wt=15): 49 [] c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(A,$f12(C,B,A),c_Wellfounded_Oacc(A,C)).
% 6.68/6.77    Following clause subsumed by 48 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)).
% 6.68/6.77  ** KEPT (pick-wt=19): 50 [] -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),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).
% 6.68/6.77  ** KEPT (pick-wt=19): 51 [] c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),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).
% 6.68/6.77  ** KEPT (pick-wt=24): 52 [] -c_member(A,B,C)| -c_member(D,E,hAPP(F,B))|c_member(tc_prod(A,D),c_Product__Type_OPair(A,D,B,E),c_Product__Type_OSigma(A,D,C,F)).
% 6.68/6.77  ** KEPT (pick-wt=13): 53 [] -c_Relation_Oirrefl(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 6.68/6.77  ** KEPT (pick-wt=17): 54 [] -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)).
% 6.68/6.77  ** KEPT (pick-wt=23): 55 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Relation_Oconverse(B,A,E))|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 6.68/6.77  ** KEPT (pick-wt=23): 56 [] -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),c_Relation_Oconverse(A,B,E)).
% 6.68/6.77    Following clause subsumed by 55 during input processing: 0 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Relation_Oconverse(B,A,E))|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 6.68/6.77    Following clause subsumed by 56 during input processing: 0 [] c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Relation_Oconverse(B,A,E))| -c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 6.68/6.77  ** KEPT (pick-wt=21): 57 [] -c_member(A,B,c_Relation_ORange(C,A,D))|c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,$f14(D,C,B,A),B),D).
% 6.68/6.77    Following clause subsumed by 54 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).
% 6.68/6.77  ** KEPT (pick-wt=18): 58 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(A,C,E).
% 6.68/6.77  ** KEPT (pick-wt=20): 59 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(B,D,hAPP(F,C)).
% 6.68/6.77    Following clause subsumed by 59 during input processing: 0 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(B,D,hAPP(F,C)).
% 6.68/6.77    Following clause subsumed by 58 during input processing: 0 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(A,C,E).
% 6.68/6.77    Following clause subsumed by 58 during input processing: 0 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(A,C,E).
% 6.68/6.77    Following clause subsumed by 59 during input processing: 0 [] -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(B,D,hAPP(F,C)).
% 6.68/6.77    Following clause subsumed by 52 during input processing: 0 [] c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))| -c_member(A,C,E)| -c_member(B,D,hAPP(F,C)).
% 6.68/6.77  ** KEPT (pick-wt=21): 60 [] -c_member(A,B,c_Relation_ORange(C,A,D))|c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,$f15(D,C,B,A),B),D).
% 6.68/6.77  ** KEPT (pick-wt=19): 61 [] -c_member(tc_prod(A,B),C,c_Product__Type_OSigma(A,B,D,E))|c_member(A,$f17(E,D,C,B,A),D).
% 6.68/6.77  ** KEPT (pick-wt=26): 62 [] -c_member(tc_prod(A,B),C,c_Product__Type_OSigma(A,B,D,E))|c_member(B,$f16(E,D,C,B,A),hAPP(E,$f17(E,D,C,B,A))).
% 6.68/6.77  ** KEPT (pick-wt=27): 64 [copy,63,flip.2] -c_member(tc_prod(A,B),C,c_Product__Type_OSigma(A,B,D,E))|c_Product__Type_OPair(A,B,$f17(E,D,C,B,A),$f16(E,D,C,B,A))=C.
% 6.68/6.77  ** KEPT (pick-wt=15): 65 [] -c_member(A,$f18(B,C,A),c_Wellfounded_Oacc(A,B))|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 6.68/6.77  ** KEPT (pick-wt=15): 66 [] c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(A,$f19(C,B,A),c_Wellfounded_Oacc(A,C)).
% 6.68/6.77  ** KEPT (pick-wt=24): 68 [copy,67,flip.2] -c_member(tc_prod(A,B),C,c_Relation_Oconverse(B,A,D))|c_Product__Type_OPair(A,B,$f20(D,C,B,A),$f21(D,C,B,A))=C.
% 6.68/6.77  ** KEPT (pick-wt=27): 69 [] -c_member(tc_prod(A,B),C,c_Relation_Oconverse(B,A,D))|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,$f21(D,C,B,A),$f20(D,C,B,A)),D).
% 6.68/6.77  ** KEPT (pick-wt=19): 70 [] 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)).
% 6.68/6.77  ** 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.
% 6.68/6.77  ** 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).
% 6.68/6.77    Following clause subsumed by 70 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).
% 6.68/6.77  ** KEPT (pick-wt=17): 73 [] -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)).
% 6.68/6.77  ** KEPT (pick-wt=24): 74 [] -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)).
% 6.68/6.77    Following clause subsumed by 74 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_Transitive__Closure_Ortrancl(A,C))|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 6.68/6.77  ** KEPT (pick-wt=21): 75 [] -c_member(A,B,c_Relation_ODomain(A,C,D))|c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,$f22(D,C,B,A)),D).
% 6.68/6.77    Following clause subsumed by 73 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).
% 6.68/6.77  ** KEPT (pick-wt=14): 76 [] -c_member(tc_prod(A,A),B,C)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Ortrancl(A,C)).
% 6.68/6.77  ** KEPT (pick-wt=22): 77 [] 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.
% 6.68/6.77  ** KEPT (pick-wt=22): 78 [] 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.
% 6.68/6.77  ** KEPT (pick-wt=27): 79 [] -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,c_Relation_Oconverse(A,A,D))).
% 6.68/6.77  ** KEPT (pick-wt=27): 80 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,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)).
% 6.68/6.77  ** KEPT (pick-wt=34): 81 [] -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)).
% 6.68/6.77  ** KEPT (pick-wt=34): 82 [] -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)).
% 6.68/6.77  ** KEPT (pick-wt=36): 83 [] -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)).
% 6.68/6.77  ** KEPT (pick-wt=15): 84 [] -c_member(tc_prod(A,A),B,c_Relation_OId__on(A,C))|c_member(A,$f23(C,B,A),C).
% 6.68/6.77  ** KEPT (pick-wt=21): 86 [copy,85,flip.2] -c_member(tc_prod(A,A),B,c_Relation_OId__on(A,C))|c_Product__Type_OPair(A,A,$f23(C,B,A),$f23(C,B,A))=B.
% 6.68/6.77  ** KEPT (pick-wt=21): 87 [] -c_member(A,B,c_Relation_ODomain(A,C,D))|c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,$f24(D,C,B,A)),D).
% 6.68/6.77  ** KEPT (pick-wt=52): 88 [] -c_Relation_Osingle__valued(A,A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),c_Transitive__Closure_Ortrancl(A,B))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),c_Transitive__Closure_Ortrancl(A,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),c_Transitive__Closure_Ortrancl(A,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,E,D),c_Transitive__Closure_Ortrancl(A,B)).
% 6.68/6.77  ** KEPT (pick-wt=88): 89 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,C),D))|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,$f28(H,G,F,E,D,C,B,A),$f27(H,G,F,E,D,C,B,A))),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|hBOOL(hAPP(hAPP(H,E),F)).
% 6.68/6.77  ** KEPT (pick-wt=100): 90 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,C),D))|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,$f28(H,G,F,E,D,C,B,A),$f27(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,$f26(H,G,F,E,D,C,B,A),$f25(H,G,F,E,D,C,B,A))),G)|hBOOL(hAPP(hAPP(H,E),F)).
% 6.68/6.77  ** KEPT (pick-wt=64): 91 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,C),D))|hBOOL(hAPP(hAPP(H,$f28(H,G,F,E,D,C,B,A)),$f27(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,E),F)).
% 6.68/6.77  ** KEPT (pick-wt=64): 92 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,C),D))| -hBOOL(hAPP(hAPP(H,$f26(H,G,F,E,D,C,B,A)),$f25(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,E),F)).
% 6.68/6.77  ** KEPT (pick-wt=100): 93 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,E),F))|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,$f32(H,G,F,E,D,C,B,A),$f31(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,$f30(H,G,F,E,D,C,B,A),$f29(H,G,F,E,D,C,B,A))),G)|hBOOL(hAPP(hAPP(H,C),D)).
% 6.68/6.77  ** KEPT (pick-wt=88): 94 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,E),F))|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,$f30(H,G,F,E,D,C,B,A),$f29(H,G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|hBOOL(hAPP(hAPP(H,C),D)).
% 6.68/6.77  ** KEPT (pick-wt=64): 95 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,E),F))|hBOOL(hAPP(hAPP(H,$f30(H,G,F,E,D,C,B,A)),$f29(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,C),D)).
% 6.76/6.78  ** KEPT (pick-wt=64): 96 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))| -hBOOL(hAPP(hAPP(H,E),F))| -hBOOL(hAPP(hAPP(H,$f32(H,G,F,E,D,C,B,A)),$f31(H,G,F,E,D,C,B,A)))|hBOOL(hAPP(hAPP(H,C),D)).
% 6.76/6.78  ** KEPT (pick-wt=81): 97 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|c_Product__Type_OPair(A,B,C,D)=c_Product__Type_OPair(A,B,E,F)|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,$f34(G,F,E,D,C,B,A),$f33(G,F,E,D,C,B,A))),G).
% 6.76/6.78  ** KEPT (pick-wt=85): 98 [] -c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G))|c_Product__Type_OPair(A,B,C,D)=c_Product__Type_OPair(A,B,E,F)|c_member(tc_prod(tc_prod(A,B),tc_prod(A,B)),c_Product__Type_OPair(tc_prod(A,B),tc_prod(A,B),c_Product__Type_OPair(A,B,$f34(G,F,E,D,C,B,A),$f33(G,F,E,D,C,B,A)),c_Product__Type_OPair(A,B,E,F)),c_Transitive__Closure_Ortrancl(tc_prod(A,B),G)).
% 6.76/6.78  ** KEPT (pick-wt=31): 99 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f35(D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.78  ** KEPT (pick-wt=29): 100 [] -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,$f35(D,C,B,A),C),D).
% 6.76/6.78  ** KEPT (pick-wt=29): 101 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f36(D,C,B,A)),D).
% 6.76/6.78  ** KEPT (pick-wt=31): 102 [] -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,$f36(D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.78  ** KEPT (pick-wt=27): 103 [] -c_Relation_Osingle__valued(A,B,C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,F),C)|E=F.
% 6.76/6.78  ** KEPT (pick-wt=13): 104 [] c_Relation_Osingle__valued(A,B,C)|$f38(C,B,A)!=$f37(C,B,A).
% 6.76/6.78    Following clause subsumed by 103 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.
% 6.76/6.78  ** KEPT (pick-wt=13): 105 [] $f41(A,B,C)!=$f40(A,B,C)|c_Relation_Osingle__valued(C,B,A).
% 6.76/6.78  ** KEPT (pick-wt=37): 106 [] -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,$f44(E,D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D))|hBOOL(hAPP(E,C)).
% 6.76/6.78  ** KEPT (pick-wt=40): 107 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f44(E,D,C,B,A),$f43(E,D,C,B,A)),D)|hBOOL(hAPP(E,C)).
% 6.76/6.78  ** KEPT (pick-wt=29): 108 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,B))|hBOOL(hAPP(E,$f44(E,D,C,B,A)))|hBOOL(hAPP(E,C)).
% 6.76/6.78  ** KEPT (pick-wt=29): 109 [] -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,$f43(E,D,C,B,A)))|hBOOL(hAPP(E,C)).
% 6.76/6.78  ** KEPT (pick-wt=40): 110 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f46(E,D,C,B,A),$f45(E,D,C,B,A)),D)|hBOOL(hAPP(E,B)).
% 6.76/6.78  ** KEPT (pick-wt=37): 111 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f45(E,D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D))|hBOOL(hAPP(E,B)).
% 6.76/6.78  ** KEPT (pick-wt=29): 112 [] -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,$f45(E,D,C,B,A)))|hBOOL(hAPP(E,B)).
% 6.76/6.78  ** KEPT (pick-wt=29): 113 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))| -hBOOL(hAPP(E,C))| -hBOOL(hAPP(E,$f46(E,D,C,B,A)))|hBOOL(hAPP(E,B)).
% 6.76/6.78  ** KEPT (pick-wt=35): 114 [] -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).
% 6.76/6.78  ** KEPT (pick-wt=13): 115 [] c_Relation_Ototal__on(A,B,C)|$f48(C,B,A)!=$f47(C,B,A).
% 6.76/6.78  ** KEPT (pick-wt=20): 116 [] c_Relation_Ototal__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f48(C,B,A),$f47(C,B,A)),C).
% 6.76/6.78  ** KEPT (pick-wt=20): 117 [] c_Relation_Ototal__on(A,B,C)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f47(C,B,A),$f48(C,B,A)),C).
% 6.76/6.78  ** KEPT (pick-wt=29): 118 [] -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).
% 6.76/6.78  ** KEPT (pick-wt=29): 119 [] 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).
% 6.76/6.78  ** KEPT (pick-wt=18): 120 [] -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).
% 6.76/6.78  ** KEPT (pick-wt=18): 121 [] -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).
% 6.76/6.78  ** KEPT (pick-wt=18): 122 [] -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).
% 6.76/6.78  ** KEPT (pick-wt=11): 123 [] -c_Relation_Orefl__on(A,B,c_Relation_Oconverse(A,A,C))|c_Relation_Orefl__on(A,B,C).
% 6.76/6.78  ** KEPT (pick-wt=11): 124 [] c_Relation_Orefl__on(A,B,c_Relation_Oconverse(A,A,C))| -c_Relation_Orefl__on(A,B,C).
% 6.76/6.78  ** KEPT (pick-wt=11): 125 [] -c_Relation_Ototal__on(A,B,c_Relation_Oconverse(A,A,C))|c_Relation_Ototal__on(A,B,C).
% 6.76/6.78  ** KEPT (pick-wt=11): 126 [] c_Relation_Ototal__on(A,B,c_Relation_Oconverse(A,A,C))| -c_Relation_Ototal__on(A,B,C).
% 6.76/6.78  ** KEPT (pick-wt=24): 127 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=26): 128 [] -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.
% 6.76/6.78    Following clause subsumed by 128 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.
% 6.76/6.78  ** KEPT (pick-wt=10): 129 [] c_Relation_Oantisym(A,B)|$f50(B,A)!=$f49(B,A).
% 6.76/6.78  ** KEPT (pick-wt=30): 130 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,c_Relation_Oconverse(A,A,D)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_Oconverse(A,A,c_Transitive__Closure_Otrancl(A,D))).
% 6.76/6.78  ** KEPT (pick-wt=30): 131 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),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,c_Relation_Oconverse(A,A,D))).
% 6.76/6.78  ** KEPT (pick-wt=36): 132 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=36): 133 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=22): 134 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=14): 135 [] -c_member(tc_prod(A,A),B,C)|c_member(tc_prod(A,A),B,c_Transitive__Closure_Otrancl(A,C)).
% 6.76/6.78  ** KEPT (pick-wt=9): 136 [] -c_Relation_Oantisym(A,c_Relation_Oconverse(A,A,B))|c_Relation_Oantisym(A,B).
% 6.76/6.78  ** KEPT (pick-wt=9): 137 [] c_Relation_Oantisym(A,c_Relation_Oconverse(A,A,B))| -c_Relation_Oantisym(A,B).
% 6.76/6.78  ** KEPT (pick-wt=32): 138 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=34): 139 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=34): 140 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=36): 141 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=14): 142 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId(A))|B=C.
% 6.76/6.78  ** KEPT (pick-wt=14): 143 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Relation_OId(A))|B!=C.
% 6.76/6.78  ** KEPT (pick-wt=27): 144 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=15): 145 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B!=C.
% 6.76/6.78    Following clause subsumed by 127 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)).
% 6.76/6.78  ** KEPT (pick-wt=34): 146 [] -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)).
% 6.76/6.78    Following clause subsumed by 144 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)).
% 6.76/6.78  ** KEPT (pick-wt=34): 147 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=28): 148 [] -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,$f51(D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.78  ** KEPT (pick-wt=26): 149 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f51(D,C,B,A),C),D).
% 6.76/6.78  ** KEPT (pick-wt=26): 150 [] -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,$f52(D,C,B,A)),D).
% 6.76/6.78  ** KEPT (pick-wt=28): 151 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f52(D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.78  ** KEPT (pick-wt=18): 153 [copy,152,flip.2] -c_member(tc_prod(A,A),B,c_Relation_OId(A))|c_Product__Type_OPair(A,A,$f53(B,A),$f53(B,A))=B.
% 6.76/6.78  ** KEPT (pick-wt=15): 154 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=10): 155 [] $f56(A,B)!=$f55(A,B)|c_Relation_Oantisym(B,A).
% 6.76/6.78  ** KEPT (pick-wt=33): 156 [] c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f57(B,C,D,A),$f57(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.
% 6.76/6.78  ** KEPT (pick-wt=36): 157 [] -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,$f58(D,C,B,A)),D).
% 6.76/6.78  ** KEPT (pick-wt=38): 158 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f58(D,C,B,A),C),c_Transitive__Closure_Otrancl(A,D)).
% 6.76/6.78  ** KEPT (pick-wt=9): 159 [] -c_Wellfounded_Oacyclic(A,c_Relation_Oconverse(A,A,B))|c_Wellfounded_Oacyclic(A,B).
% 6.76/6.78  ** KEPT (pick-wt=9): 160 [] c_Wellfounded_Oacyclic(A,c_Relation_Oconverse(A,A,B))| -c_Wellfounded_Oacyclic(A,B).
% 6.76/6.78  ** KEPT (pick-wt=8): 161 [] -c_Wellfounded_Oacyclic(A,B)|c_Relation_Oantisym(A,c_Transitive__Closure_Ortrancl(A,B)).
% 6.76/6.78  ** KEPT (pick-wt=15): 162 [] -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).
% 6.76/6.78  ** KEPT (pick-wt=24): 163 [] -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)).
% 6.76/6.78  ** KEPT (pick-wt=27): 164 [] 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)).
% 6.76/6.78  ** KEPT (pick-wt=38): 165 [] -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,$f60(D,C,B,A)),c_Transitive__Closure_Otrancl(A,D)).
% 6.76/6.78  ** KEPT (pick-wt=36): 166 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f60(D,C,B,A),C),D).
% 6.76/6.78  ** KEPT (pick-wt=17): 167 [] -hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C),D))|hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 6.76/6.78  ** KEPT (pick-wt=13): 168 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),D,A),B)).
% 6.76/6.78  ** KEPT (pick-wt=13): 169 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),A,D),B)).
% 6.76/6.78  ** KEPT (pick-wt=14): 170 [] -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 6.76/6.78  ** KEPT (pick-wt=11): 171 [] -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 6.76/6.78  ** KEPT (pick-wt=10): 172 [] A!=B|c_member(C,A,c_Set_Oinsert(C,B,D)).
% 6.76/6.78  ** KEPT (pick-wt=17): 173 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C)|c_member(A,B,D).
% 6.76/6.78  ** KEPT (pick-wt=13): 174 [] -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C)).
% 6.76/6.78  ** KEPT (pick-wt=13): 175 [] -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 6.76/6.78  ** KEPT (pick-wt=17): 176 [] -c_member(A,B,C)|c_member(A,B,D)|c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D)).
% 6.76/6.78  ** KEPT (pick-wt=13): 177 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 6.76/6.78  ** KEPT (pick-wt=13): 178 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 6.76/6.78  ** KEPT (pick-wt=24): 179 [] -c_Relation_Orefl__on(A,B,C)| -c_Relation_Orefl__on(A,D,E)|c_Relation_Orefl__on(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,D),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,E)).
% 6.76/6.78  ** KEPT (pick-wt=29): 180 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -hBOOL(hAPP(E,B))|c_member(A,$f61(E,D,C,A),C)|c_member(A,$f62(E,D,C,A),D).
% 6.76/6.78  ** KEPT (pick-wt=29): 181 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -hBOOL(hAPP(E,B))|c_member(A,$f61(E,D,C,A),C)|hBOOL(hAPP(E,$f62(E,D,C,A))).
% 6.76/6.78  ** KEPT (pick-wt=29): 182 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -hBOOL(hAPP(E,B))|hBOOL(hAPP(E,$f61(E,D,C,A)))|c_member(A,$f62(E,D,C,A),D).
% 6.76/6.78  ** KEPT (pick-wt=29): 183 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -hBOOL(hAPP(E,B))|hBOOL(hAPP(E,$f61(E,D,C,A)))|hBOOL(hAPP(E,$f62(E,D,C,A))).
% 6.76/6.78  ** KEPT (pick-wt=21): 184 [] c_member(A,$f63(B,C,D,A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C))| -c_member(A,E,D)| -hBOOL(hAPP(B,E)).
% 6.76/6.78  ** KEPT (pick-wt=21): 185 [] c_member(A,$f63(B,C,D,A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C))| -c_member(A,E,C)| -hBOOL(hAPP(B,E)).
% 6.76/6.78  ** KEPT (pick-wt=16): 186 [] hBOOL(hAPP(A,$f63(A,B,C,D)))| -c_member(D,E,C)| -hBOOL(hAPP(A,E)).
% 6.76/6.78  ** KEPT (pick-wt=16): 187 [] hBOOL(hAPP(A,$f63(A,B,C,D)))| -c_member(D,E,B)| -hBOOL(hAPP(A,E)).
% 6.76/6.78  ** KEPT (pick-wt=21): 188 [] c_member(A,$f64(B,C,D,A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C))| -c_member(A,E,D)|hBOOL(hAPP(B,E)).
% 6.76/6.78  ** KEPT (pick-wt=21): 189 [] c_member(A,$f64(B,C,D,A),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C))| -c_member(A,E,C)|hBOOL(hAPP(B,E)).
% 6.76/6.78  ** KEPT (pick-wt=16): 190 [] -hBOOL(hAPP(A,$f64(A,B,C,D)))| -c_member(D,E,C)|hBOOL(hAPP(A,E)).
% 6.76/6.78  ** KEPT (pick-wt=16): 191 [] -hBOOL(hAPP(A,$f64(A,B,C,D)))| -c_member(D,E,B)|hBOOL(hAPP(A,E)).
% 6.76/6.78  ** KEPT (pick-wt=29): 192 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|hBOOL(hAPP(E,B))|c_member(A,$f65(E,D,C,A),C)|c_member(A,$f66(E,D,C,A),D).
% 6.76/6.78  ** KEPT (pick-wt=29): 193 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|hBOOL(hAPP(E,B))|c_member(A,$f65(E,D,C,A),C)| -hBOOL(hAPP(E,$f66(E,D,C,A))).
% 6.76/6.78  ** KEPT (pick-wt=29): 194 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|hBOOL(hAPP(E,B))| -hBOOL(hAPP(E,$f65(E,D,C,A)))|c_member(A,$f66(E,D,C,A),D).
% 6.76/6.78  ** KEPT (pick-wt=29): 195 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|hBOOL(hAPP(E,B))| -hBOOL(hAPP(E,$f65(E,D,C,A)))| -hBOOL(hAPP(E,$f66(E,D,C,A))).
% 6.76/6.78  ** KEPT (pick-wt=14): 196 [] -hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))|B=D|hBOOL(hAPP(C,D)).
% 6.76/6.78  ** KEPT (pick-wt=10): 197 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))|B!=D.
% 6.76/6.78  ** KEPT (pick-wt=11): 198 [] hBOOL(hAPP(c_Set_Oinsert(A,B,C),D))| -hBOOL(hAPP(C,D)).
% 6.76/6.78  ** KEPT (pick-wt=20): 199 [] -c_member(A,B,C)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,C).
% 6.76/6.78    Following clause subsumed by 199 during input processing: 0 [] -c_member(A,B,C)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,C).
% 6.76/6.78    Following clause subsumed by 169 during input processing: 0 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),A,D),B)).
% 6.76/6.78    Following clause subsumed by 168 during input processing: 0 [] -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),D,A),B)).
% 6.76/6.78    Following clause subsumed by 177 during input processing: 0 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 6.76/6.78    Following clause subsumed by 178 during input processing: 0 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 6.76/6.78    Following clause subsumed by 176 during input processing: 0 [] c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C)|c_member(A,B,D).
% 6.76/6.78    Following clause subsumed by 177 during input processing: 0 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 6.76/6.78    Following clause subsumed by 178 during input processing: 0 [] -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 6.76/6.78    Following clause subsumed by 173 during input processing: 0 [] -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C)|c_member(A,B,D).
% 6.76/6.78    Following clause subsumed by 175 during input processing: 0 [] c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C).
% 6.76/6.78    Following clause subsumed by 174 during input processing: 0 [] c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 6.76/6.78    Following clause subsumed by 175 during input processing: 0 [] -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 6.76/6.78    Following clause subsumed by 174 during input processing: 0 [] -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C)).
% 6.76/6.78    Following clause subsumed by 170 during input processing: 0 [] -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 6.76/6.78    Following clause subsumed by 172 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,D))|B!=C.
% 6.76/6.78    Following clause subsumed by 171 during input processing: 0 [] c_member(A,B,c_Set_Oinsert(A,C,D))| -c_member(A,B,D).
% 6.76/6.78  ** KEPT (pick-wt=20): 200 [] c_member(A,B,C)|c_member(A,B,D)|c_Set_Oinsert(A,B,C)!=c_Set_Oinsert(A,B,D)|C=D.
% 6.76/6.78  ** KEPT (pick-wt=20): 201 [] c_member(A,B,C)|c_member(A,B,D)|c_Set_Oinsert(A,B,C)=c_Set_Oinsert(A,B,D)|C!=D.
% 6.76/6.78    Following clause subsumed by 171 during input processing: 0 [] -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 6.76/6.78  ** KEPT (pick-wt=10): 202 [] -c_member(A,B,C)|c_Set_Oinsert(A,B,C)=C.
% 6.76/6.78  ** KEPT (pick-wt=23): 203 [] -c_member(tc_prod(A,A),B,c_Transitive__Closure_Ortrancl(A,C))|c_member(tc_prod(A,A),B,c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,D))).
% 6.76/6.78  ** KEPT (pick-wt=23): 204 [] -c_member(tc_prod(A,A),B,c_Transitive__Closure_Ortrancl(A,C))|c_member(tc_prod(A,A),B,c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,C))).
% 6.76/6.78  ** KEPT (pick-wt=14): 205 [] -c_Relation_Oantisym(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Relation_OId(A)))|c_Relation_Oantisym(A,B).
% 6.76/6.78  ** KEPT (pick-wt=14): 206 [] c_Relation_Oantisym(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Relation_OId(A)))| -c_Relation_Oantisym(A,B).
% 6.76/6.78  ** KEPT (pick-wt=16): 207 [] -c_Relation_Ototal__on(A,B,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A)))|c_Relation_Ototal__on(A,B,C).
% 6.76/6.78  ** KEPT (pick-wt=16): 208 [] c_Relation_Ototal__on(A,B,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A)))| -c_Relation_Ototal__on(A,B,C).
% 6.76/6.78  ** KEPT (pick-wt=19): 209 [] -class_Groups_Ominus(A)|hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,A),C,D),E)=c_Groups_Ominus__class_Ominus(A,hAPP(C,E),hAPP(D,E)).
% 6.76/6.78  ** KEPT (pick-wt=19): 210 [] -class_Lattices_Olattice(A)|hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,A),C,D),E)=c_Lattices_Osemilattice__sup__class_Osup(A,hAPP(C,E),hAPP(D,E)).
% 6.76/6.78  ** KEPT (pick-wt=48): 211 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f68(E,D,C,B,A),C),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.78  ** KEPT (pick-wt=51): 212 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f67(E,D,C,B,A),$f68(E,D,C,B,A)),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.79  ** KEPT (pick-wt=44): 214 [copy,213,flip.2] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|$f68(E,D,C,B,A)!=$f67(E,D,C,B,A)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.79  ** KEPT (pick-wt=48): 215 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,$f70(E,D,C,B,A)),c_Transitive__Closure_Ortrancl(A,D))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.79  ** KEPT (pick-wt=51): 216 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f70(E,D,C,B,A),$f69(E,D,C,B,A)),E)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.79  ** KEPT (pick-wt=44): 217 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),D,E)))|$f70(E,D,C,B,A)!=$f69(E,D,C,B,A)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D)).
% 6.76/6.79  ** KEPT (pick-wt=17): 218 [] -c_Relation_Otrans(A,B)| -c_Relation_Oantisym(A,B)|c_Relation_Otrans(A,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Relation_OId(A))).
% 6.76/6.79  ** KEPT (pick-wt=15): 219 [] -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).
% 6.76/6.79  ** KEPT (pick-wt=24): 220 [] -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)).
% 6.76/6.79  ** KEPT (pick-wt=27): 221 [] 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)).
% 6.76/6.79  ** KEPT (pick-wt=11): 222 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(C,hAPP(c_Relation_Oinv__image(A,C,B),D)).
% 6.76/6.79  ** KEPT (pick-wt=15): 223 [] -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)).
% 6.76/6.79  ** KEPT (pick-wt=15): 224 [] -c_Relation_Otrans(A,B)| -c_Relation_Otrans(C,D)|c_Relation_Otrans(tc_prod(A,C),c_Wellfounded_Olex__prod(A,C,B,D)).
% 6.76/6.79  ** KEPT (pick-wt=8): 225 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Owf(A,c_Transitive__Closure_Otrancl(A,B)).
% 6.76/6.79  ** KEPT (pick-wt=6): 226 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_Oacyclic(A,B).
% 6.76/6.79  ** KEPT (pick-wt=8): 227 [] -c_Relation_Otrans(A,B)|c_Transitive__Closure_Otrancl(A,B)=B.
% 6.76/6.79  ** KEPT (pick-wt=9): 228 [] -c_Relation_Otrans(A,c_Relation_Oconverse(A,A,B))|c_Relation_Otrans(A,B).
% 6.76/6.79  ** KEPT (pick-wt=9): 229 [] c_Relation_Otrans(A,c_Relation_Oconverse(A,A,B))| -c_Relation_Otrans(A,B).
% 6.76/6.79  ** KEPT (pick-wt=11): 230 [] -c_Relation_Otrans(A,B)|c_Relation_Otrans(C,hAPP(c_Relation_Oinv__image(A,C,B),D)).
% 6.76/6.79  ** KEPT (pick-wt=13): 231 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 6.76/6.79  ** KEPT (pick-wt=23): 232 [] -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).
% 6.76/6.79    Following clause subsumed by 232 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).
% 6.76/6.79    Following clause subsumed by 231 during input processing: 0 [] -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 6.76/6.79  ** KEPT (pick-wt=9): 233 [] -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 6.76/6.79    Following clause subsumed by 233 during input processing: 0 [] -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 6.76/6.79  ** KEPT (pick-wt=11): 234 [] c_Wellfounded_Owf(A,B)| -c_member(A,$f71(B,A),c_Wellfounded_Oacc(A,B)).
% 6.76/6.79  ** KEPT (pick-wt=14): 235 [] -c_Wellfounded_Owf(A,c_Relation_Oconverse(A,A,B))|c_Wellfounded_Owf(A,c_Relation_Oconverse(A,A,c_Transitive__Closure_Otrancl(A,B))).
% 6.76/6.79  ** KEPT (pick-wt=33): 236 [] -c_Relation_Otrans(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),B).
% 6.76/6.79    Following clause subsumed by 236 during input processing: 0 [] -c_Relation_Otrans(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),B).
% 6.76/6.79  ** KEPT (pick-wt=17): 237 [] c_Relation_Otrans(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f74(B,A),$f72(B,A)),B).
% 6.76/6.79  ** KEPT (pick-wt=14): 238 [] -c_Relation_Otrans(A,B)|c_Relation_Otrans(A,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,A),tc_HOL_Obool),B,c_Relation_OId(A))).
% 6.76/6.79  ** KEPT (pick-wt=8): 239 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 6.76/6.79    Following clause subsumed by 239 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 6.76/6.79  ** KEPT (pick-wt=11): 240 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 6.76/6.79  ** KEPT (pick-wt=11): 241 [] -class_Lattices_Olattice(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 6.76/6.79    Following clause subsumed by 240 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 6.76/6.79  ** KEPT (pick-wt=14): 242 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C))=c_Lattices_Osemilattice__sup__class_Osup(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=14): 243 [] -class_Lattices_Olattice(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C))=c_Lattices_Osemilattice__sup__class_Osup(A,B,C).
% 6.76/6.79    Following clause subsumed by 242 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C))=c_Lattices_Osemilattice__sup__class_Osup(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=17): 244 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D))=c_Lattices_Osemilattice__sup__class_Osup(A,C,c_Lattices_Osemilattice__sup__class_Osup(A,B,D)).
% 6.76/6.79  ** KEPT (pick-wt=17): 245 [] -class_Lattices_Olattice(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D))=c_Lattices_Osemilattice__sup__class_Osup(A,C,c_Lattices_Osemilattice__sup__class_Osup(A,B,D)).
% 6.76/6.79    Following clause subsumed by 244 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D))=c_Lattices_Osemilattice__sup__class_Osup(A,C,c_Lattices_Osemilattice__sup__class_Osup(A,B,D)).
% 6.76/6.79  ** KEPT (pick-wt=17): 246 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 6.76/6.79  ** KEPT (pick-wt=17): 247 [] -class_Lattices_Olattice(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 6.76/6.79    Following clause subsumed by 246 during input processing: 0 [] -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 6.76/6.79  ** KEPT (pick-wt=7): 248 [] -c_Order__Relation_Ostrict__linear__order__on(A,B,C)|c_Relation_Otrans(A,C).
% 6.76/6.79  ** KEPT (pick-wt=7): 249 [] -c_Order__Relation_Ostrict__linear__order__on(A,B,C)|c_Relation_Oirrefl(A,C).
% 6.76/6.79  ** KEPT (pick-wt=8): 250 [] -c_Order__Relation_Ostrict__linear__order__on(A,B,C)|c_Relation_Ototal__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=14): 251 [] c_Order__Relation_Ostrict__linear__order__on(A,B,C)| -c_Relation_Otrans(A,C)| -c_Relation_Oirrefl(A,C)| -c_Relation_Ototal__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=24): 253 [copy,252,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).
% 6.76/6.79  ** 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).
% 6.76/6.79    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).
% 6.76/6.79  ** KEPT (pick-wt=16): 256 [] -c_Order__Relation_Olinear__order__on(A,B,C)|c_Order__Relation_Ostrict__linear__order__on(A,B,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A))).
% 6.76/6.79  ** KEPT (pick-wt=18): 257 [] -c_Wellfounded_Owf(A,hAPP(B,$f75(C,B,A,D)))|c_Wellfounded_Owf(tc_prod(C,A),c_Recdef_Osame__fst(C,A,D,B)).
% 6.76/6.79  ** KEPT (pick-wt=8): 258 [] -c_Order__Relation_Opreorder__on(A,B,C)|c_Relation_Orefl__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=7): 259 [] -c_Order__Relation_Opreorder__on(A,B,C)|c_Relation_Otrans(A,C).
% 6.76/6.79  ** KEPT (pick-wt=11): 260 [] c_Order__Relation_Opreorder__on(A,B,C)| -c_Relation_Orefl__on(A,B,C)| -c_Relation_Otrans(A,C).
% 6.76/6.79  ** KEPT (pick-wt=14): 261 [] -c_Wellfounded_Owf(A,B)| -c_member(A,C,D)|c_member(A,$f76(B,A,D),D).
% 6.76/6.79  ** KEPT (pick-wt=20): 263 [copy,262,factor_simp] -c_Wellfounded_Owf(A,B)| -c_member(A,C,D)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,$f76(B,A,D)),B).
% 6.76/6.79  ** KEPT (pick-wt=22): 264 [] c_Wellfounded_Owf(A,B)| -c_member(A,C,$f79(B,A))|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f78(B,A,C),C),B).
% 6.76/6.79  ** KEPT (pick-wt=18): 265 [] c_Wellfounded_Owf(A,B)| -c_member(A,C,$f79(B,A))|c_member(A,$f78(B,A,C),$f79(B,A)).
% 6.76/6.79  ** KEPT (pick-wt=11): 266 [] -c_Order__Relation_Opreorder__on(A,B,c_Relation_Oconverse(A,A,C))|c_Order__Relation_Opreorder__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=11): 267 [] c_Order__Relation_Opreorder__on(A,B,c_Relation_Oconverse(A,A,C))| -c_Order__Relation_Opreorder__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=11): 268 [] -c_Order__Relation_Olinear__order__on(A,B,c_Relation_Oconverse(A,A,C))|c_Order__Relation_Olinear__order__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=11): 269 [] c_Order__Relation_Olinear__order__on(A,B,c_Relation_Oconverse(A,A,C))| -c_Order__Relation_Olinear__order__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=8): 270 [] -c_Order__Relation_Owell__order__on(A,B,C)|c_Order__Relation_Olinear__order__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=15): 271 [] -c_Order__Relation_Owell__order__on(A,B,C)|c_Wellfounded_Owf(A,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A))).
% 6.76/6.79  ** KEPT (pick-wt=19): 272 [] c_Order__Relation_Owell__order__on(A,B,C)| -c_Order__Relation_Olinear__order__on(A,B,C)| -c_Wellfounded_Owf(A,c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(A,A),tc_HOL_Obool),C,c_Relation_OId(A))).
% 6.76/6.79  ** KEPT (pick-wt=8): 273 [] -c_Order__Relation_Olinear__order__on(A,B,C)|c_Order__Relation_Opartial__order__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=8): 274 [] -c_Order__Relation_Olinear__order__on(A,B,C)|c_Relation_Ototal__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=12): 275 [] c_Order__Relation_Olinear__order__on(A,B,C)| -c_Order__Relation_Opartial__order__on(A,B,C)| -c_Relation_Ototal__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=8): 276 [] -c_Order__Relation_Opartial__order__on(A,B,C)|c_Order__Relation_Opreorder__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=7): 277 [] -c_Order__Relation_Opartial__order__on(A,B,C)|c_Relation_Oantisym(A,C).
% 6.76/6.79  ** KEPT (pick-wt=11): 278 [] c_Order__Relation_Opartial__order__on(A,B,C)| -c_Order__Relation_Opreorder__on(A,B,C)| -c_Relation_Oantisym(A,C).
% 6.76/6.79  ** KEPT (pick-wt=9): 279 [] -c_Wellfounded_Owf(A,B)|c_Wellfounded_OwfP(A,c_FunDef_Oin__rel(A,A,B)).
% 6.76/6.79  ** KEPT (pick-wt=11): 280 [] -c_Order__Relation_Opartial__order__on(A,B,c_Relation_Oconverse(A,A,C))|c_Order__Relation_Opartial__order__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=11): 281 [] c_Order__Relation_Opartial__order__on(A,B,c_Relation_Oconverse(A,A,C))| -c_Order__Relation_Opartial__order__on(A,B,C).
% 6.76/6.79  ** KEPT (pick-wt=11): 282 [] -c_member(A,$f80(B,A),c_Wellfounded_Oacc(A,B))|c_Wellfounded_Owf(A,B).
% 6.76/6.79  ** KEPT (pick-wt=21): 283 [] -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)).
% 6.76/6.79  ** KEPT (pick-wt=21): 284 [] 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)).
% 6.76/6.79  ** KEPT (pick-wt=17): 285 [] -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,$f83(B,A),$f81(B,A)),B)|c_Relation_Otrans(A,B).
% 6.76/6.79  ** KEPT (pick-wt=13): 286 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 6.76/6.79  ** KEPT (pick-wt=13): 287 [] -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,D,C)).
% 6.76/6.79  ** KEPT (pick-wt=21): 288 [] -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)).
% 6.76/6.79  ** KEPT (pick-wt=19): 289 [] -class_Groups_Oordered__ab__group__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ominus__class_Ominus(A,D,E)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,D,E).
% 6.76/6.79  ** KEPT (pick-wt=19): 290 [] -class_Groups_Oordered__ab__group__add(A)|c_Groups_Ominus__class_Ominus(A,B,C)!=c_Groups_Ominus__class_Ominus(A,D,E)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E).
% 6.76/6.79  ** KEPT (pick-wt=7): 291 [] -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 6.76/6.79  ** KEPT (pick-wt=9): 292 [] -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 6.76/6.79  ** KEPT (pick-wt=14): 293 [] -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 6.76/6.79  ** KEPT (pick-wt=10): 294 [] A!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))| -c_member(B,C,A).
% 6.76/6.79    Following clause subsumed by 291 during input processing: 0 [] -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 6.76/6.79    Following clause subsumed by 294 during input processing: 0 [] -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 6.76/6.79    Following clause subsumed by 294 during input processing: 0 [] -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 6.76/6.79  ** KEPT (pick-wt=17): 295 [] c_Relation_ODomain(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|C=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_HOL_Obool)).
% 6.76/6.79  ** KEPT (pick-wt=17): 296 [] c_Relation_ODomain(A,B,C)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|C!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_HOL_Obool)).
% 6.76/6.79  ** KEPT (pick-wt=17): 297 [] c_Relation_ORange(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))|C=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_HOL_Obool)).
% 6.76/6.79  ** KEPT (pick-wt=17): 298 [] c_Relation_ORange(A,B,C)=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool))|C!=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_HOL_Obool)).
% 6.76/6.79  ** KEPT (pick-wt=17): 299 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 6.76/6.79  ** KEPT (pick-wt=17): 300 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 6.76/6.79  ** KEPT (pick-wt=23): 301 [] c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|B!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Oboo
% 6.76/6.79  Search stopped in tp_alloc by max_mem option.
% 6.76/6.79  l)).
% 6.76/6.79  ** KEPT (pick-wt=18): 302 [] c_Set_Oinsert(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))!=c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))|B=C.
% 6.76/6.79  ** KEPT (pick-wt=27): 303 [] c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))!=c_Set_Oinsert(A,D,c_Set_Oinsert(A,E,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=D|B=E.
% 6.76/6.79  ** KEPT (pick-wt=27): 304 [] c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))!=c_Set_Oinsert(A,D,c_Set_Oinsert(A,E,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=D|C=D.
% 6.76/6.79  ** KEPT (pick-wt=27): 305 [] c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))!=c_Set_Oinsert(A,D,c_Set_Oinsert(A,E,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|C=E|B=E.
% 6.76/6.79  ** KEPT (pick-wt=27): 306 [] c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))!=c_Set_Oinsert(A,D,c_Set_Oinsert(A,E,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|C=E|C=D.
% 6.76/6.79  
% 6.76/6.79  Search stopped in tp_alloc by max_mem option.
% 6.76/6.79  
% 6.76/6.79  ============ end of search ============
% 6.76/6.79  
% 6.76/6.79  -------------- statistics -------------
% 6.76/6.79  clauses given                  0
% 6.76/6.79  clauses generated              0
% 6.76/6.79  clauses kept                 296
% 6.76/6.79  clauses forward subsumed      54
% 6.76/6.79  clauses back subsumed          0
% 6.76/6.79  Kbytes malloced            11718
% 6.76/6.79  
% 6.76/6.79  ----------- times (seconds) -----------
% 6.76/6.79  user CPU time          0.10          (0 hr, 0 min, 0 sec)
% 6.76/6.79  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 6.76/6.79  wall-clock time        7             (0 hr, 0 min, 7 sec)
% 6.76/6.79  
% 6.76/6.79  Process 13610 finished Wed Jul 27 09:03:48 2022
% 6.76/6.79  Otter interrupted
% 6.76/6.79  PROOF NOT FOUND
%------------------------------------------------------------------------------